[User]
Calculate the area enclosed between the functions f(x) = -2|(1(-2cos(1π(3x - 2) - 1) - 1)^2 + 3(-2cos(1π(3x - 2) - 1) - 1) - 1) + 2| - 1 and g(x) = -3cos(2π((-1(-3|x - 1| + 3))/(-2(-3|x - 1| + 3) - 1))) - 2 from x = 2.1 to x = 2.2. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = -4(5(2|x - 3| - 1)^2 + 4(2|x - 3| - 1) - 2) + 5 and g(x) = (3(2x^2 + 4x + 3) + 1)/(1(2x^2 + 4x + 3)) from x = 2.3 to x = 3.7. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = (-1(-3x^2 - 4x + 2) - 2)/(-2(-3x^2 - 4x + 2) - 2) and g(x) = -5x^2 + 3x - 2 between the vertical lines x = -1.9 and x = 0.6. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = 3((2x - 1)/(-2x + 3))^2 - 2((2x - 1)/(-2x + 3)) - 2, g(x) = (-1x + 1)/(-3x + 2), x = -1.1, and x = 0.7. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = 3|((1(-3sin(2πx + 1) - 2) - 3)/(1(-3sin(2πx + 1) - 2)))| - 2 and g(x) = 1|(-3x^2 + 4x - 1) - 3| - 1 from x = 3.7 to x = 3.8. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = -3|(1x^2 + 2x - 2)| + 1 and g(x) = 3|x + 3| - 1 from x = -2.9 to x = -2.6. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = (-1(3(1e^(-1(-3|x + 1| + 3)) - 2)^2 + 3(1e^(-1(-3|x + 1| + 3)) - 2) - 2) - 2)/(3(3(1e^(-1(-3|x + 1| + 3)) - 2)^2 + 3(1e^(-1(-3|x + 1| + 3)) - 2) - 2) + 1), g(x) = -3sin(3π((-1(-2|x - 1| - 3))/(-2(-2|x - 1| - 3) - 3)) - 3) + 2, x = -4.8, and x = -2.3. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = 5((1(2|x - 2| - 3) - 3)/(3(2|x - 2| - 3)))^2 + 1 and g(x) = -2sin(3π(3x + 2) + 1) + 2 from x = -3.3 to x = -3.1. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = 5(2sin(1π((2x + 3)/(-3x)) - 2) - 2) - 5 and g(x) = (2(3cos(3πx - 3) - 2) - 2)/(2(3cos(3πx - 3) - 2) + 3) from x = 4.2 to x = 4.4. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = (3(-1(3|(3x + 5) + 2| - 1)^2 + 3(3|(3x + 5) + 2| - 1)) - 1)/(1(-1(3|(3x + 5) + 2| - 1)^2 + 3(3|(3x + 5) + 2| - 1)) + 3), g(x) = 2(-3e^(-1(-1|x| + 3)) - 2)^2 + 4(-3e^(-1(-1|x| + 3)) - 2) - 2, x = -2.9, and x = 1.8. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = 1|((-3x - 3)/(2x)) - 1| + 2 and g(x) = -4x^2 - 2x + 3 between the vertical lines x = -0.7 and x = -0.4. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = (-3(5(-5(3|x + 2| + 1) - 4)^2 - 1(-5(3|x + 2| + 1) - 4) + 3) - 3)/(2(5(-5(3|x + 2| + 1) - 4)^2 - 1(-5(3|x + 2| + 1) - 4) + 3) - 1), g(x) = -5(-3sin(2π(2|x - 1| - 3) + 1) + 2)^2 + 4(-3sin(2π(2|x - 1| - 3) + 1) + 2) - 1, x = 3.1, and x = 3.2. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = -4(5((-2x + 2)/(1x)) - 1)^2 + 2(5((-2x + 2)/(1x)) - 1) + 2 and g(x) = -1(3|x + 1|)^2 + 1(3|x + 1|) - 1 from x = 0.7 to x = 1.2. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = 3|(3sin(1πx + 1) + 3)| + 2 and g(x) = (-3x + 3)/(-1x - 2) between the vertical lines x = -4.5 and x = -3.3. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = -4(2x^2 - 1x - 3) + 1 and g(x) = 1x - 1 between the vertical lines x = -1.2 and x = 1.5. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = 1sin(1π(2|x + 1|) - 1) and g(x) = (-2x)/(2x) between the vertical lines x = 1.9 and x = 2.9. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = 5(-2|((-1x + 1)/(3x)) + 3| - 2) - 2 and g(x) = -1((3x - 2)/(-3x - 1))^2 + 2((3x - 2)/(-3x - 1)) + 2 between the vertical lines x = -0.6 and x = -0.2. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = (-1(4(-1(-2|x - 3| + 2) - 2)^2 - 4) - 2)/(-1(4(-1(-2|x - 3| + 2) - 2)^2 - 4)) and g(x) = (3(-5(3x + 4)^2 + 1) + 1)/(-2(-5(3x + 4)^2 + 1) + 1) from x = -1.2 to x = 0.6. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = 1|(-1(2e^(-2x) + 1)^2 - 3(2e^(-2x) + 1) + 2)| - 3, g(x) = -2(3sin(2πx + 2) + 1)^2 - 3(3sin(2πx + 2) + 1) + 5, x = 0.3, and x = 0.5. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = (-3(-3cos(1πx - 1) + 2) + 2)/(2(-3cos(1πx - 1) + 2)) and g(x) = -2x + 4 between the vertical lines x = 2.0 and x = 4.1. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = 2((2(-2e^(-2x) + 3) + 1)/(2(-2e^(-2x) + 3)))^2 - 3((2(-2e^(-2x) + 3) + 1)/(2(-2e^(-2x) + 3))) - 2 and g(x) = -3cos(3π(-2x^2 - 1x + 3) - 3) between the vertical lines x = 3.8 and x = 3.9. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = (2(-3cos(3π(2x^2 + 4x - 3) - 2) + 1) - 3)/(1(-3cos(3π(2x^2 + 4x - 3) - 2) + 1)) and g(x) = (-1(-5x + 2) + 3)/(-2(-5x + 2) - 3) from x = 2.8 to x = 2.9. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = (-2(-1(3cos(1πx + 1))^2 - 5(3cos(1πx + 1)) - 5) - 2)/(-3(-1(3cos(1πx + 1))^2 - 5(3cos(1πx + 1)) - 5) - 2), g(x) = 3|(2x - 5) - 2|, x = 3.6, and x = 4.3. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = 4((3(-3|(-1sin(3πx + 1) + 1) - 1| + 2) + 1)/(1(-3|(-1sin(3πx + 1) + 1) - 1| + 2) + 3)) and g(x) = 3cos(3π(-4(5x + 3)^2 - 3(5x + 3) + 3) - 3) between the vertical lines x = 1.8 and x = 1.9000000000000001. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = -2(-1|x - 3| - 3)^2 - 4(-1|x - 3| - 3) + 5 and g(x) = -3x + 4 between the vertical lines x = 2.7 and x = 3.6. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = (-1(-3|(-3cos(3πx - 2) - 1) + 1| + 1) + 3)/(1(-3|(-3cos(3πx - 2) - 1) + 1| + 1) + 3) and g(x) = -3cos(3π(-1x^2 + 5x - 5) - 3) + 3 from x = -3.9 to x = -3.7. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = 3(1|(-1((3x)/(3x - 2))^2 - 3((3x)/(3x - 2)) + 4) + 1| - 3) + 2 and g(x) = (-2(1(-3e^(1x) - 1)^2 - 2(-3e^(1x) - 1) - 4) - 1)/(1(1(-3e^(1x) - 1)^2 - 2(-3e^(1x) - 1) - 4) - 2) between the vertical lines x = 0.5 and x = 0.6. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = 1(3sin(3πx - 1) - 3) - 2 and g(x) = 3x - 3 from x = -1.5 to x = -1.3. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = (2(1|(1x - 3) + 3| + 1) - 3)/(3(1|(1x - 3) + 3| + 1) + 3), g(x) = (2(-2x^2 + 1x + 4) - 3)/(1(-2x^2 + 1x + 4)), x = -0.9, and x = 1.4. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = 1e^(-2(-1(2|x + 1| - 3)^2 + 1(2|x + 1| - 3) + 3)) - 1 and g(x) = -2sin(1π(1x - 4)) from x = -0.2 to x = 0.2. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = -2cos(2π(3x + 3) + 1) - 3 and g(x) = (-1x + 1)/(1x + 3) between the vertical lines x = -4.6 and x = -4.4. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = (1(-1x^2 + 3x - 4) - 1)/(3(-1x^2 + 3x - 4) + 3), g(x) = (-1x - 2)/(-2x - 1), x = 1.0, and x = 2.4. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = -3|(-4x + 2)| + 1 and g(x) = (-2x + 1)/(-1x + 2) from x = 0.6 to x = 1.8. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = 4(-3|(-1cos(3πx + 1) + 1)| + 3)^2 - 1(-3|(-1cos(3πx + 1) + 1)| + 3) - 2 and g(x) = (-1(1x^2 + 5x + 1) - 2)/(3(1x^2 + 5x + 1) + 2) from x = 0.1 to x = 0.4. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = -3((2(1|x + 2| - 1) - 2)/(2(1|x + 2| - 1) - 1)) and g(x) = -5(-1e^(-1x) + 3) - 5 between the vertical lines x = -1.0 and x = -0.7. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = -2(1|(-1x - 3) + 2| - 1)^2 + 2(1|(-1x - 3) + 2| - 1) - 3 and g(x) = -5(2|x| - 2)^2 - 5(2|x| - 2) from x = 0.3 to x = 1.2. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = 2|((1(2(4x^2 - 3x) - 2) - 3)/(-1(2(4x^2 - 3x) - 2) + 2)) + 2| + 1 and g(x) = -5(3|((-3x + 1)/(3x + 3)) - 2| - 2) + 4 from x = -0.6 to x = -0.5. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = -3sin(1π(2x - 5) + 1) - 1 and g(x) = (-2x - 1)/(2x - 3) between the vertical lines x = -1.7 and x = -1.1. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = 1((3(-2x^2 - 3x + 3) - 3)/(-2(-2x^2 - 3x + 3) - 1)) + 5, g(x) = 2(-2sin(1πx - 3) - 1)^2 - 3, x = 1.8, and x = 3.1. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = -4(-2e^(1x) + 2)^2 - 3(-2e^(1x) + 2) + 2 and g(x) = 3x^2 - 3x - 4 from x = -0.4 to x = 0.6. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = (3(-2|x + 2| - 2) - 1)/(2(-2|x + 2| - 2)) and g(x) = 2x^2 - 2x - 5 between the vertical lines x = -1.4 and x = 2.4. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = 1((3x - 3)/(2x + 1))^2 + 5((3x - 3)/(2x + 1)) - 4, g(x) = 3x^2 + 1x + 5, x = -2.2, and x = -0.2. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = -5(3cos(2π((-2x + 2)/(1x)) - 2) + 3) + 1, g(x) = (-2(-3sin(2πx + 1) - 2) - 2)/(2(-3sin(2πx + 1) - 2) + 2), x = -0.2, and x = -0.1. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = (1(1|(-5(1x + 3)^2 - 4(1x + 3) + 5)| - 1))/(-3(1|(-5(1x + 3)^2 - 4(1x + 3) + 5)| - 1) - 1) and g(x) = 3(-2sin(3π(2|x - 2| + 1) - 3) + 2)^2 - 2 from x = -0.1 to x = -0.0. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = -2(3sin(1π(-4(3|x - 1| + 1)^2 - 4(3|x - 1| + 1) - 4) + 2) - 1), g(x) = (-1(-2e^(1(1x^2 + 5x - 3)) + 2) + 3)/(-1(-2e^(1(1x^2 + 5x - 3)) + 2) + 3), x = 1.9, and x = 2.0. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = 2(3(2|x + 3| - 2) + 3)^2 - 5(3(2|x + 3| - 2) + 3) + 1 and g(x) = 2|((-2x - 2)/(-2x + 3)) + 1| + 1 from x = -4.0 to x = -3.4. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = -2e^(1(-2|x + 1| - 1)) and g(x) = -1|x - 3| + 2 between the vertical lines x = 1.0 and x = 5.0. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = (3(-1(3e^(-2(-2|x + 2| - 2)) + 1)^2 - 2(3e^(-2(-2|x + 2| - 2)) + 1)) - 2)/(2(-1(3e^(-2(-2|x + 2| - 2)) + 1)^2 - 2(3e^(-2(-2|x + 2| - 2)) + 1)) - 3), g(x) = 2((-1(1x - 1) + 2)/(1(1x - 1) - 3))^2 - 3((-1(1x - 1) + 2)/(1(1x - 1) - 3)), x = 2.4, and x = 3.6. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = 1|(-4x - 3) + 3| - 3 and g(x) = -1x^2 + 1x + 1 from x = -0.7 to x = 1.0. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = -2|(-4(4x - 1)^2 + 1(4x - 1) + 3) + 3| and g(x) = -2(-4x - 1)^2 - 4(-4x - 1) between the vertical lines x = 0.5 and x = 0.8. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = 5(1(-3|(2e^(-1x) - 1) - 1| + 3)^2 - 4(-3|(2e^(-1x) - 1) - 1| + 3) - 4) - 5, g(x) = (-2(3|(5x - 5) - 2| - 2) + 3)/(3(3|(5x - 5) - 2| - 2) + 1), x = 1.3, and x = 1.5. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = (2(-3|(2x - 4) + 3| + 1) + 1)/(-2(-3|(2x - 4) + 3| + 1)) and g(x) = 3|(-1x^2 + 3x - 2)| - 2 from x = 0.3 to x = 2.3. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = (-1(-1(-1|x|)^2 + 1(-1|x|) - 3) + 3)/(-2(-1(-1|x|)^2 + 1(-1|x|) - 3) - 1) and g(x) = -2|(1sin(1πx - 2)) - 2| + 3 from x = -2.7 to x = -1.0. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = (-1(-2sin(1π(4x - 3) + 2) - 2) - 3)/(3(-2sin(1π(4x - 3) + 2) - 2) - 1), g(x) = (-3(-4x - 5))/(-1(-4x - 5) - 1), x = -2.0, and x = -1.6. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = -3|((2x - 3)/(2x + 2))| + 2, g(x) = (-3x - 3)/(-1x - 3), x = 1.2, and x = 1.7. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = -5(-2sin(1πx - 2) + 1) - 3, g(x) = 3x, x = -2.4, and x = -1.2. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = (-3(-5x) + 3)/(-1(-5x) + 2), g(x) = -1x - 1, x = -4.2, and x = -0.2. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = (1(2e^(-1x) - 2) - 3)/(-2(2e^(-1x) - 2) - 1) and g(x) = -4x + 1 between the vertical lines x = -0.2 and x = 1.0. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = -3|((3x - 2)/(3x + 1)) + 3|, g(x) = (-2x + 2)/(-3x - 1), x = -0.2, and x = -0.0. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = -1|(-2cos(2πx + 1) - 3) - 3| + 1, g(x) = 5x - 5, x = -0.3, and x = 0.2. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = -1sin(3π(-5x^2 - 3x + 4) - 1) + 3 and g(x) = (-3x - 3)/(2x + 1) from x = -0.7 to x = -0.6. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = -3(2|(2e^(1x) + 1)| - 2) + 3 and g(x) = 2sin(1π(5x + 5) - 2) - 2 between the vertical lines x = -1.2 and x = -1.1. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = -2cos(3π(-5(4(1|x + 2| - 3)^2) + 1) - 2) and g(x) = -5(-1|((2x - 3)/(-2x + 3)) - 1| + 2)^2 - 1(-1|((2x - 3)/(-2x + 3)) - 1| + 2) - 1 from x = -3.0 to x = -2.9. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = -5(-1(-1|((-3x + 3)/(-3x)) + 2| + 3) - 1)^2 - 3(-1(-1|((-3x + 3)/(-3x)) + 2| + 3) - 1) + 5, g(x) = -2|(-1sin(3π(2x + 5) + 3) - 3)| - 2, x = 0.1, and x = 0.2. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = -5(2x - 2)^2 - 1(2x - 2) + 1 and g(x) = -5x^2 - 5x - 4 from x = 0.3 to x = 2.5. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = 3(-2e^(1((-3(-2|x + 2| + 1) - 1)/(1(-2|x + 2| + 1) - 3))) + 3)^2 - 2(-2e^(1((-3(-2|x + 2| + 1) - 1)/(1(-2|x + 2| + 1) - 3))) + 3) - 4 and g(x) = 3e^(2(-2|(5x + 4)| + 1)) + 2 between the vertical lines x = -3.0 and x = -2.3. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = 2sin(1π(5x^2 - 4x) - 1) + 2 and g(x) = -1x between the vertical lines x = -3.9 and x = -3.8. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = 2((-3(2|x + 3|) + 1)/(2(2|x + 3|) + 1))^2 + 3((-3(2|x + 3|) + 1)/(2(2|x + 3|) + 1)) + 4 and g(x) = (1(-2sin(1πx + 1) + 1) + 1)/(-1(-2sin(1πx + 1) + 1) + 3) from x = 3.5 to x = 4.9. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = -2cos(2π(-2|x + 1|) + 2) - 1, g(x) = (3x - 2)/(-2x - 3), x = 3.8, and x = 4.0. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = -4(-1(3|(2e^(2x) - 1) - 2| + 2) + 4)^2 - 2(-1(3|(2e^(2x) - 1) - 2| + 2) + 4) and g(x) = (-3(-2(2|x - 1| - 2)^2 + 1(2|x - 1| - 2)) + 3)/(-2(-2(2|x - 1| - 2)^2 + 1(2|x - 1| - 2))) from x = -0.2 to x = -0.1. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = -1(-1|(-3(-2e^(-1x) - 2)^2 - 4(-2e^(-1x) - 2) + 2) - 2| - 1) and g(x) = 2(3|(5x^2 - 4x - 3)| + 2) + 5 from x = 0.1 to x = 1.2. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = (-1(1(1(-1|x + 3| + 1) + 4)^2 - 4(1(-1|x + 3| + 1) + 4) - 5) - 1)/(3(1(1(-1|x + 3| + 1) + 4)^2 - 4(1(-1|x + 3| + 1) + 4) - 5) + 3) and g(x) = -4(-2sin(2π((3x)/(3x - 2)) - 2) - 2)^2 - 2(-2sin(2π((3x)/(3x - 2)) - 2) - 2) + 5 between the vertical lines x = -0.2 and x = 0.1. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = 3cos(3π(1x - 5) - 1) - 2 and g(x) = 2x^2 - 4x - 2 between the vertical lines x = 1.6 and x = 2.0. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = -2cos(2π(2x - 3) - 2) - 1 and g(x) = -3|x - 2| + 3 between the vertical lines x = 3.3 and x = 3.6. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = 4(-4x^2 - 4x + 3) + 2 and g(x) = 4x^2 + 4x + 4 from x = -1.4 to x = 0.4. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = 1(-1|(1e^(-1(1x - 2)) - 3) - 2| - 3)^2 + 4(-1|(1e^(-1(1x - 2)) - 3) - 2| - 3) - 3 and g(x) = 5((-1(3x + 3) + 3)/(-2(3x + 3) + 3))^2 - 4((-1(3x + 3) + 3)/(-2(3x + 3) + 3)) + 3 from x = 0.0 to x = 0.9. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = (2(-3|(-3cos(2πx - 1) + 2) - 1| - 3) + 2)/(-3(-3|(-3cos(2πx - 1) + 2) - 1| - 3)) and g(x) = -3cos(2π(1x^2 + 1x - 5)) - 3 from x = -3.1 to x = -2.9. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = (-2(-1e^(2x) - 2) - 2)/(-3(-1e^(2x) - 2)), g(x) = 1|x + 3|, x = -3.3, and x = -2.7. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = (2(-2|(3(-2sin(1πx + 2) - 1)^2 - 1(-2sin(1πx + 2) - 1)) - 1| + 3) - 1)/(-1(-2|(3(-2sin(1πx + 2) - 1)^2 - 1(-2sin(1πx + 2) - 1)) - 1| + 3) + 3) and g(x) = 3((2(-4x^2 - 3x + 4) + 2)/(-2(-4x^2 - 3x + 4) + 1)) - 2 from x = -1.5 to x = 0.7. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = (2(2x) + 3)/(-2(2x)) and g(x) = (-2x)/(-3x + 2) from x = -0.6 to x = 0.5. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = -3(-1(-2|((2x - 2)/(-2x + 3)) - 2| - 1)^2 - 4(-2|((2x - 2)/(-2x + 3)) - 2| - 1) - 5) + 3, g(x) = 5(-1cos(1π((-3x - 3)/(-2x - 1)) - 3))^2 + 2(-1cos(1π((-3x - 3)/(-2x - 1)) - 3)) + 4, x = 1.2, and x = 1.4. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = 1((3x - 1)/(3x + 2)) - 1 and g(x) = 5x - 2 from x = -0.4 to x = 0.2. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = 1sin(1π((-2x - 3)/(3x - 1)) - 3) + 2 and g(x) = 4x^2 - 1x - 3 from x = -0.9 to x = 1.2. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = 1|((-1(2sin(2π(4x^2 + 1x - 2) - 3) + 3) - 1)/(-2(2sin(2π(4x^2 + 1x - 2) - 3) + 3) + 3)) + 3| - 1, g(x) = 2((-1(1|x + 2| - 2))/(-2(1|x + 2| - 2) + 3)) + 5, x = -4.9, and x = -4.800000000000001. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = (-3(-1|x - 3|) - 2)/(3(-1|x - 3|) - 1) and g(x) = -1x^2 + 1x + 4 from x = -1.8 to x = 2.5. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = (1(-1x^2 + 5x + 5))/(-2(-1x^2 + 5x + 5) + 3) and g(x) = -1|x - 1| between the vertical lines x = -0.5 and x = 0.4. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = -3sin(3π(2(-2|x + 1|) - 3) - 3) - 1, g(x) = (3(-2x + 4) - 1)/(2(-2x + 4) - 3), x = -1.0, and x = -0.9. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = (2(1|(2(2cos(2πx + 3)) + 3)| + 3) + 3)/(-1(1|(2(2cos(2πx + 3)) + 3)| + 3)), g(x) = -1|(1(-1cos(2πx - 3) - 3)^2 + 2(-1cos(2πx - 3) - 3) + 3) + 2| + 3, x = -4.2, and x = -3.9. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = -2|(1sin(3πx - 2) - 2) + 2| and g(x) = -5x + 5 between the vertical lines x = 1.3 and x = 1.4. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = 2cos(2π(5x^2 - 3x - 3) + 3) - 1 and g(x) = -5x + 5 from x = 1.2 to x = 1.3. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = -2cos(1π(-1((-3x + 2)/(3x + 3)) + 4)) - 2 and g(x) = 1((-1x)/(3x - 2))^2 + 3((-1x)/(3x - 2)) - 3 between the vertical lines x = -1.1 and x = -1.0. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = (3(-1cos(3πx - 2) + 2) - 3)/(1(-1cos(3πx - 2) + 2)), g(x) = 1x + 2, x = -1.7, and x = -1.2. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = 2|(1cos(2πx - 1) - 1) + 2| + 1 and g(x) = -1x^2 - 3x + 3 from x = -3.4 to x = -3.1. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = -3cos(2π(2x + 4) - 1) - 3, g(x) = (2x + 1)/(2x - 3), x = 0.3, and x = 0.4. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = -3((1x)/(2x + 1))^2 + 3((1x)/(2x + 1)) + 1 and g(x) = -2|x - 3| + 1 between the vertical lines x = -0.6 and x = -0.3. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = 2cos(2π((2x - 3)/(1x + 1)) - 1) - 1 and g(x) = (-2x + 3)/(-1x) from x = 0.9 to x = 1.5. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = -2(-2sin(3πx - 3) + 2)^2 - 5(-2sin(3πx - 3) + 2), g(x) = -3x - 2, x = 3.3, and x = 3.7. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = 1(2|(5((-3x - 3)/(-3x + 4)) - 1) + 2| - 3)^2 - 5(2|(5((-3x - 3)/(-3x + 4)) - 1) + 2| - 3) - 2 and g(x) = (-3(3|(2x + 1) - 3| - 3) + 1)/(3(3|(2x + 1) - 3| - 3) + 2) from x = -0.2 to x = 0.2. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = (-1(1x^2 + 3x - 3) + 3)/(2(1x^2 + 3x - 3) + 3) and g(x) = -3x^2 - 3x - 5 from x = -3.4 to x = 0.3. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = 3|((3(-2sin(3πx - 2) + 2) - 3)/(-2(-2sin(3πx - 2) + 2) - 2)) + 1| - 3, g(x) = 4((3x)/(-3x - 3)), x = 1.3, and x = 1.5. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = 4(2sin(2π(3x^2 - 4x + 5) + 1) - 1) - 2 and g(x) = -3sin(1π(-3|x + 1| - 2)) - 2 from x = -1.1 to x = -1.0. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = -2(2|(-4((1x - 1)/(3x - 2)) - 2)|)^2 - 3(2|(-4((1x - 1)/(3x - 2)) - 2)|) + 2 and g(x) = (1(-1cos(1π(3x^2 + 1x + 3) + 1) + 3))/(-1(-1cos(1π(3x^2 + 1x + 3) + 1) + 3) + 2) from x = 2.8 to x = 2.9. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = -4(-1|(3((1x - 2)/(-2x)) - 4) - 1| - 1)^2 - 2(-1|(3((1x - 2)/(-2x)) - 4) - 1| - 1) + 4 and g(x) = -3e^(1(-4((2x)/(-1x + 2))^2 + 1((2x)/(-1x + 2)) + 2)) - 2 between the vertical lines x = 0.4 and x = 0.5. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = (-1(-2(2|(-4x + 1)| - 2)^2 + 3(2|(-4x + 1)| - 2) + 4) - 3)/(-1(-2(2|(-4x + 1)| - 2)^2 + 3(2|(-4x + 1)| - 2) + 4) + 3) and g(x) = 1(2|((-3x + 3)/(-1x)) + 3| + 3) + 5 from x = 0.5 to x = 0.7. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = (2(1cos(1π(-3x - 1) + 2) - 3) - 3)/(3(1cos(1π(-3x - 1) + 2) - 3) + 2) and g(x) = 1|(-5x^2 - 1x + 2) + 3| - 3 between the vertical lines x = -1.5 and x = -0.5. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = -3|(2e^(1x)) - 2| - 1 and g(x) = 1x^2 + 4x - 3 between the vertical lines x = -2.6 and x = 0.2. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = 5((-2(1sin(1πx - 1) + 1) + 2)/(-1(1sin(1πx - 1) + 1) - 1))^2 + 1((-2(1sin(1πx - 1) + 1) + 2)/(-1(1sin(1πx - 1) + 1) - 1)) - 3, g(x) = -3(-5x^2 - 4x + 5) + 5, x = -1.3, and x = 0.4. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = 1sin(1π((-2(1|(-1x + 4) - 1| - 1) - 1)/(-3(1|(-1x + 4) - 1| - 1) - 3)) - 3) - 3 and g(x) = -3|(-2cos(1π(5x^2 + 1x - 2) + 2) - 3) + 2| + 3 from x = -1.9 to x = -1.8. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = 3((1(2(-3|x|)^2 - 1(-3|x|) - 4) - 2)/(3(2(-3|x|)^2 - 1(-3|x|) - 4) + 3)) - 4, g(x) = 1sin(2π(1(1x^2 - 2x - 2) - 1) + 2) + 2, x = -0.3, and x = 0.3. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = (-1(2cos(2π(3|x + 1| + 2) - 2) + 2) + 2)/(1(2cos(2π(3|x + 1| + 2) - 2) + 2) + 3), g(x) = 5((-1x - 1)/(-1x + 3)) - 2, x = -3.5, and x = -3.4. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = 5(-2|((3x - 2)/(3x + 3)) + 2| - 1)^2 + 5(-2|((3x - 2)/(3x + 3)) + 2| - 1) and g(x) = 2(1cos(1πx - 1) + 3) + 2 from x = -0.5 to x = -0.4. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = 3sin(3π((-2(-1x - 4) + 1)/(-3(-1x - 4) + 4)) + 2) - 3, g(x) = -2e^(-1(-1x - 2)), x = -4.6, and x = -4.5. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = -3sin(1π(4(-3x + 4)^2 + 2(-3x + 4) - 4) - 3) + 1, g(x) = 2|(-1e^(2x) - 1) - 2| - 3, x = -4.5, and x = -4.4. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = 1((2(-2x^2 - 1x + 5) + 1)/(1(-2x^2 - 1x + 5) - 2)) + 1 and g(x) = (-2(-1|x + 1| - 1))/(-3(-1|x + 1| - 1) - 2) between the vertical lines x = -1.9 and x = 1.4. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = (-1(1sin(2πx - 1)) + 1)/(3(1sin(2πx - 1)) - 1) and g(x) = -3|x - 1| - 3 from x = 2.2 to x = 2.6. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = -1(5((-3(-1|x - 1| - 3) + 1)/(-2(-1|x - 1| - 3) - 3)) - 3)^2 - 2(5((-3(-1|x - 1| - 3) + 1)/(-2(-1|x - 1| - 3) - 3)) - 3) + 5, g(x) = -2|(3((1x - 3)/(3x + 1))^2 - 3((1x - 3)/(3x + 1)) + 1) - 2| - 1, x = -0.6, and x = -0.1. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = -4(2(1sin(3πx - 3) + 1) - 3)^2 + 3(2(1sin(3πx - 3) + 1) - 3) + 3 and g(x) = -2(2x - 5)^2 - 1(2x - 5) + 3 from x = 2.5 to x = 2.6. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = -3cos(2π(-1x^2 - 3x - 2) - 2) - 1 and g(x) = -2x^2 + 2x - 3 from x = 1.3 to x = 1.4000000000000001. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = 1|(4(-5((-2x - 2)/(2x - 3))^2 + 2((-2x - 2)/(2x - 3)) + 5) - 1) + 2| - 2, g(x) = 1((-1(-1|x - 2| + 1) - 2)/(1(-1|x - 2| + 1))) + 4, x = 0.3, and x = 0.5. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = -3(-2sin(2π((-1(-1|x + 3|) + 3)/(-3(-1|x + 3|) - 2)) - 2) - 1)^2 + 2(-2sin(2π((-1(-1|x + 3|) + 3)/(-3(-1|x + 3|) - 2)) - 2) - 1), g(x) = 5((-3(-2cos(3πx - 3)) + 3)/(1(-2cos(3πx - 3))))^2 + 3((-3(-2cos(3πx - 3)) + 3)/(1(-2cos(3πx - 3)))), x = -2.1, and x = -2.0. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = -4(-1sin(2πx - 1)) - 3, g(x) = -2|x + 1| - 2, x = 0.8, and x = 1.0. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = -2sin(1π(3x^2 + 1x - 1) + 2) + 1 and g(x) = -4x + 2 from x = 0.2 to x = 0.5. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = -3((-2x - 1)/(3x + 2))^2 + 1((-2x - 1)/(3x + 2)) + 4 and g(x) = (1x + 3)/(2x - 1) from x = -0.9 to x = -0.6. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = 3|(-3(-4((-3x - 3)/(-2x + 3))^2 + 5((-3x - 3)/(-2x + 3)) - 1) + 4) - 2| - 1 and g(x) = 2sin(3π(3|(-1x^2 - 5x + 4) - 2| + 2) - 3) from x = -4.3 to x = -4.2. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = (1(-5(-5x^2 + 4x + 4) - 3) - 3)/(2(-5(-5x^2 + 4x + 4) - 3) + 1), g(x) = 3(1cos(3πx - 2) + 1)^2 - 1(1cos(3πx - 2) + 1), x = 2.4, and x = 2.7. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = (-3(3cos(3πx - 1)) + 2)/(2(3cos(3πx - 1)) - 1) and g(x) = (2x - 2)/(2x) from x = 2.0 to x = 2.2. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = -4(1|((-1(-2sin(2πx + 2) - 2) - 1)/(-1(-2sin(2πx + 2) - 2) + 3)) + 2|) - 1 and g(x) = -4(2((-1x)/(-3x - 1))^2 - 5((-1x)/(-3x - 1)) - 1) + 3 between the vertical lines x = -0.4 and x = -0.2. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = (1(2(-2|(-4x^2 + 3x + 2) + 2| + 3) - 2) - 3)/(-2(2(-2|(-4x^2 + 3x + 2) + 2| + 3) - 2) + 3) and g(x) = -4(1|(1x^2 - 5x + 4) - 1|) - 3 from x = 1.4 to x = 1.5. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = 1(3|x - 3| - 3) - 3 and g(x) = -4x^2 - 3x + 4 between the vertical lines x = -0.5 and x = 0.5. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = -3cos(3π(3|(4(-3x - 5)^2 + 5(-3x - 5) + 5) - 1| - 2) + 3) + 1, g(x) = -1cos(3π(-2|(1x^2 + 2x + 2) + 2|) - 2) + 1, x = -2.1, and x = -2.0. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = 1sin(2π(2((3(-3|x + 1| + 2) - 1)/(-3(-3|x + 1| + 2) + 4))^2 - 4((3(-3|x + 1| + 2) - 1)/(-3(-3|x + 1| + 2) + 4)) + 1) + 1) + 2, g(x) = -2|((-3(2x^2 - 3x + 5) - 1)/(-3(2x^2 - 3x + 5) + 4)) - 1| + 2, x = -0.9, and x = -0.8. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = -4(-2sin(2π(-1|(-1x - 2) - 1| + 1) - 3) + 2)^2 - 5(-2sin(2π(-1|(-1x - 2) - 1| + 1) - 3) + 2) + 4 and g(x) = (2(-3(-1x^2 - 5x - 1) + 4) + 2)/(2(-3(-1x^2 - 5x - 1) + 4) - 1) between the vertical lines x = 2.2 and x = 2.4. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = 1((-1(-3|x + 1| + 3) - 3)/(3(-3|x + 1| + 3) - 2)) + 4, g(x) = 2|(-3e^(2x) - 2) + 3| + 3, x = -2.1, and x = -0.1. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = 2cos(1π(5x - 2)) + 3, g(x) = -4x - 4, x = -2.1, and x = -1.9. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = -5(-2|x| + 2)^2 + 5(-2|x| + 2) + 1, g(x) = 5x + 4, x = -1.2, and x = -0.5. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = -4((3(2|(-5x - 2) + 2| + 1) - 3)/(-1(2|(-5x - 2) + 2| + 1) + 2))^2 - 5((3(2|(-5x - 2) + 2| + 1) - 3)/(-1(2|(-5x - 2) + 2| + 1) + 2)) + 2 and g(x) = 3((1(-1sin(1πx) + 1) + 1)/(-3(-1sin(1πx) + 1) + 1)) from x = 2.2 to x = 2.8. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = 5(-2e^(-1(1|(-1x^2 - 5x) + 1| - 1)) + 2) + 1 and g(x) = 2(-1((1x - 2)/(2x + 1))^2 - 2((1x - 2)/(2x + 1)) + 3) + 2 between the vertical lines x = -4.9 and x = -0.1. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = (3(4(1|(-4x - 4) + 1| - 1)^2 + 3(1|(-4x - 4) + 1| - 1) + 5) - 3)/(-2(4(1|(-4x - 4) + 1| - 1)^2 + 3(1|(-4x - 4) + 1| - 1) + 5) + 1) and g(x) = (2(4(-2|x - 1| + 1) + 2) - 3)/(3(4(-2|x - 1| + 1) + 2) - 2) between the vertical lines x = 0.4 and x = 1.6. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = -2sin(1π(-4((-1(3|x + 2| - 3) - 3)/(-1(3|x + 2| - 3) + 2)) + 3) - 2) - 3, g(x) = -3(-4((2x - 2)/(-1x + 3))^2 - 4((2x - 2)/(-1x + 3)) + 2) - 5, x = -3.6, and x = -3.5. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = 5((3(-2e^(1x) - 3) - 3)/(-1(-2e^(1x) - 3) - 2)) + 1 and g(x) = -2((-1x - 2)/(2x))^2 + 4((-1x - 2)/(2x)) - 3 between the vertical lines x = -0.2 and x = 0.5. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = -1(5x^2 - 4x - 2) + 4 and g(x) = -3x + 1 from x = -0.5 to x = 1.9. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = 3sin(3π(3x^2 - 1x - 1) - 2) - 2 and g(x) = (2x + 2)/(-2x + 3) between the vertical lines x = 4.2 and x = 4.3. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = -1cos(2π(-1(-2|(-1x^2 - 4x - 5)| - 2) - 4) - 2) + 2, g(x) = 3(1cos(2π((-1x - 1)/(2x - 1)) + 1) - 1) + 3, x = -4.1, and x = -3.9999999999999996. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = (-2(1(-1|x - 3| - 2) + 3) - 3)/(-1(1(-1|x - 3| - 2) + 3)) and g(x) = -3(-2cos(1πx - 2) + 2)^2 + 3(-2cos(1πx - 2) + 2) + 3 from x = 1.1 to x = 1.9. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = (-3(1x^2 - 2x - 3) + 1)/(-2(1x^2 - 2x - 3) - 3) and g(x) = -1x + 4 from x = 1.4 to x = 3.4. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = -2|(2((-2(-2x + 5) - 2)/(2(-2x + 5) + 3))^2 + 1((-2(-2x + 5) - 2)/(2(-2x + 5) + 3)) - 2) - 1| - 1 and g(x) = -3|(-5(-2cos(2πx - 1) - 3)^2 + 4(-2cos(2πx - 1) - 3) + 4) - 3| + 1 between the vertical lines x = 3.2 and x = 3.3. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = 1(1cos(1π(1((-2x - 1)/(-3x - 3)) - 1) - 2) - 3)^2 + 2(1cos(1π(1((-2x - 1)/(-3x - 3)) - 1) - 2) - 3) + 3 and g(x) = 3|(-1((1x)/(3x - 1))^2 + 5) - 1| + 1 from x = 0.3 to x = 0.4. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = 3cos(1π(4x^2 + 4x - 4) - 2) + 3, g(x) = (1x - 1)/(1x + 1), x = -4.9, and x = -4.8. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = (-1(-1|(-2cos(3π(-1x^2 + 1x + 1) - 3) + 3) + 1| - 3) + 3)/(-1(-1|(-2cos(3π(-1x^2 + 1x + 1) - 3) + 3) + 1| - 3)) and g(x) = (-1(1e^(2(-2x^2 + 5x + 4)) - 3) - 1)/(-2(1e^(2(-2x^2 + 5x + 4)) - 3) - 3) from x = -0.6 to x = 3.1. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = (2(2(1|(1x - 2) - 3| - 2)^2 - 5) + 2)/(3(2(1|(1x - 2) - 3| - 2)^2 - 5) + 1), g(x) = (-1(3sin(1π(2x^2 - 1x + 5) - 1) - 3) - 1)/(-1(3sin(1π(2x^2 - 1x + 5) - 1) - 3) + 3), x = 1.9, and x = 2.1. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = -1((1x)/(1x + 2))^2 + 5((1x)/(1x + 2)) - 2, g(x) = 1x - 3, x = -0.4, and x = 3.9. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = -2((-3x + 1)/(-1x + 2))^2 - 5((-3x + 1)/(-1x + 2)) - 2 and g(x) = -3x^2 + 3x - 2 between the vertical lines x = 0.4 and x = 1.1. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = (3(-3|(3x^2 - 3x + 5)| - 1) - 3)/(-2(-3|(3x^2 - 3x + 5)| - 1) + 3) and g(x) = (1(-4x^2 - 5x + 3) - 3)/(-2(-4x^2 - 5x + 3) - 3) between the vertical lines x = -2.1 and x = 0.8. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = -1|(-4((3(3sin(3πx - 2) - 1) + 3)/(-2(3sin(3πx - 2) - 1) + 3)) - 1) - 1| and g(x) = -1(-2sin(3π(-3x - 2) + 3) + 3)^2 - 3(-2sin(3π(-3x - 2) + 3) + 3) - 2 between the vertical lines x = -4.3 and x = -4.2. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = 3(5x^2 - 5) - 1 and g(x) = 5x + 1 from x = -0.9 to x = 1.2. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = (-2(3|x + 3| - 2) + 1)/(1(3|x + 3| - 2) + 3) and g(x) = -1|x + 1| between the vertical lines x = -1.6 and x = 0.4. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = -1(3(-3|x + 2| + 2) + 2)^2 + 3(3(-3|x + 2| + 2) + 2) + 4, g(x) = 2|(2sin(1πx - 3) + 2) + 3| - 1, x = -1.4, and x = -1.3. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = 4(1|((3x + 1)/(-3x - 3)) - 2|)^2 + 2(1|((3x + 1)/(-3x - 3)) - 2|) - 3 and g(x) = 2|(-2x^2 + 4x + 4) - 1| + 1 from x = -0.8 to x = -0.7. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = (2(-1|(2x^2 - 2x - 2) + 2| + 2) + 3)/(-1(-1|(2x^2 - 2x - 2) + 2| + 2) + 2) and g(x) = -4(3x^2 + 1x - 3) - 3 between the vertical lines x = -1.1 and x = -0.2. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = -2e^(-1(-5(2(-2|x - 3| + 3) - 4)^2 + 5(2(-2|x - 3| + 3) - 4) - 1)) + 1 and g(x) = -4(-4((-3x + 3)/(-1x - 3)) + 5)^2 - 4(-4((-3x + 3)/(-1x - 3)) + 5) + 3 between the vertical lines x = 2.4 and x = 2.8. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = -2(-1cos(1π((-2(-3|x - 2| - 3) + 3)/(-2(-3|x - 2| - 3) - 3)) + 1) - 3)^2 - 1(-1cos(1π((-2(-3|x - 2| - 3) + 3)/(-2(-3|x - 2| - 3) - 3)) + 1) - 3) - 4 and g(x) = (-2(-4(-2|x + 3|)^2 - 1(-2|x + 3|) + 4) + 1)/(-1(-4(-2|x + 3|)^2 - 1(-2|x + 3|) + 4) - 3) from x = -3.7 to x = -2.3. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = (2(3|x - 1|) - 2)/(-2(3|x - 1|) - 2) and g(x) = (3x - 2)/(1x) from x = 0.7 to x = 1.0. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = 2|(5((2x)/(-1x + 2))^2 + 5) - 1| and g(x) = (-3(-2|x + 3| + 2) + 2)/(-2(-2|x + 3| + 2) + 1) between the vertical lines x = -3.8 and x = -2.2. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = (-3(-5(-2x^2 - 5x - 4)) - 3)/(1(-5(-2x^2 - 5x - 4)) - 2), g(x) = (-2(3x^2 + 5x - 4) + 2)/(3(3x^2 + 5x - 4) - 2), x = -2.3, and x = 0.7. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = 3((-3(-2cos(2π(-2x^2 - 2x + 4) - 3) + 1) - 2)/(-1(-2cos(2π(-2x^2 - 2x + 4) - 3) + 1))), g(x) = -2(2e^(-2(1|x - 2| + 1)) - 3) - 4, x = 4.5, and x = 4.6. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = (1(1|(2(-4x + 3)^2) + 1| - 3) + 2)/(3(1|(2(-4x + 3)^2) + 1| - 3) - 2), g(x) = (-2(2|(1cos(1πx + 3) - 3) - 2| - 2) - 3)/(-3(2|(1cos(1πx + 3) - 3) - 2| - 2)), x = 0.4, and x = 1.1. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = -1sin(3π(4x + 1) - 3), g(x) = (3x - 2)/(-2x + 3), x = -0.5, and x = -0.4. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = 2cos(2π(3x + 5) + 2), g(x) = (-2x + 3)/(-1x + 2), x = 0.2, and x = 0.3. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = 1|((-3(2(-2x^2 - 1x + 2) + 4) - 2)/(3(2(-2x^2 - 1x + 2) + 4) + 3))| - 2, g(x) = -1sin(1π(1((-3x)/(2x + 3))^2 - 1((-3x)/(2x + 3)) - 2) + 2), x = -2.6, and x = -2.5. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = 3(2|x - 2| + 1)^2 + 2(2|x - 2| + 1) - 3 and g(x) = 2x from x = 1.9 to x = 2.1. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = (2(1|(3sin(3π(-4x^2 + 3x - 1) + 2) + 2) + 1| + 2) + 3)/(-3(1|(3sin(3π(-4x^2 + 3x - 1) + 2) + 2) + 1| + 2)) and g(x) = -2(-2(-3|x - 3| - 1)^2 + 1(-3|x - 3| - 1) + 5) + 2 between the vertical lines x = 3.0 and x = 3.1. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = 2(2cos(2π((-1x - 3)/(1x + 2)) + 3) + 2) + 5 and g(x) = 3|(4x^2 - 5x) - 3| + 2 between the vertical lines x = 0.2 and x = 1.3. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = 2cos(1π((-3x + 1)/(-1x))) + 1, g(x) = (-3x + 2)/(-2x - 3), x = -0.1, and x = 0.0. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = (-1(4x^2 + 5x - 3) - 1)/(1(4x^2 + 5x - 3)) and g(x) = -2x^2 + 4x + 5 between the vertical lines x = 0.4 and x = 3.0. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = 2(1x^2 - 4) + 2 and g(x) = -5x^2 + 5x - 5 from x = -0.2 to x = 0.9. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = 3|(-1sin(1πx - 2) - 3) + 3| - 1 and g(x) = 3x^2 - 5x - 5 from x = -0.9 to x = 2.4. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = -2|(1x - 1) - 1| + 1 and g(x) = (1x + 2)/(1x + 3) from x = 1.9 to x = 2.1. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = 2e^(-1(2x - 1)) - 3 and g(x) = -1x^2 + 1x between the vertical lines x = 0.3 and x = 2.3. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = (-2(-4x) - 1)/(-2(-4x) + 3) and g(x) = -2|x + 1| + 2 between the vertical lines x = -1.2 and x = -0.9. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = -5((2(3|x + 1| - 1) - 3)/(2(3|x + 1| - 1) - 1))^2 + 3((2(3|x + 1| - 1) - 3)/(2(3|x + 1| - 1) - 1)) - 1, g(x) = -2(4x^2 + 1x + 2), x = -1.0, and x = -0.3. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = -3((2(-2|x + 2| + 2) + 3)/(-3(-2|x + 2| + 2) + 1)) - 5 and g(x) = 2sin(1π(1|x + 2| + 1) - 3) + 3 between the vertical lines x = -2.6 and x = -1.4. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = (-2(-4(1(-3|x + 2|)^2 - 1(-3|x + 2|) + 3) - 1) + 2)/(2(-4(1(-3|x + 2|)^2 - 1(-3|x + 2|) + 3) - 1) - 3), g(x) = 1(-1|((-2x + 3)/(-3x + 1)) - 2| - 3) + 5, x = 0.2, and x = 0.8. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = 3cos(1π(-5(-2x^2 + 2x - 4) + 5) + 1) - 2 and g(x) = (-2(-2x^2 - 2x - 4))/(-3(-2x^2 - 2x - 4)) between the vertical lines x = 3.4 and x = 3.5. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = -3((2(5(-3|x - 1| - 2) - 1) - 1)/(-2(5(-3|x - 1| - 2) - 1)))^2 - 5((2(5(-3|x - 1| - 2) - 1) - 1)/(-2(5(-3|x - 1| - 2) - 1))) - 4 and g(x) = (-1(2(1x + 1)^2 + 3(1x + 1) - 3) + 1)/(-1(2(1x + 1)^2 + 3(1x + 1) - 3) - 2) from x = -3.0 to x = -0.5. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = 1|(2cos(2π(-1((3x)/(-3x + 4)) - 2) - 3) + 3) + 1| + 3, g(x) = 2|(-5(-3cos(1πx + 3) - 2)^2 + 1(-3cos(1πx + 3) - 2) - 2) - 2| - 3, x = 3.7, and x = 3.9. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = -2(1|(3cos(2π(-5x - 5) - 1) - 3) + 1| + 2)^2 + 4(1|(3cos(2π(-5x - 5) - 1) - 3) + 1| + 2) + 5 and g(x) = (-1(1e^(1(1x^2 - 3x + 3)) - 3) + 3)/(2(1e^(1(1x^2 - 3x + 3)) - 3)) from x = -1.9 to x = -1.8. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = (3(3x + 1) + 2)/(-3(3x + 1) + 1) and g(x) = -5x - 4 between the vertical lines x = -0.7 and x = -0.1. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = 1|((-2(-5(2x^2 - 4x + 1) - 3) - 2)/(-2(-5(2x^2 - 4x + 1) - 3) - 1)) - 1| + 2 and g(x) = 5((2(-1|x + 2| + 3) + 2)/(-2(-1|x + 2| + 3) - 2))^2 - 1((2(-1|x + 2| + 3) + 2)/(-2(-1|x + 2| + 3) - 2)) + 5 from x = 0.5 to x = 1.5. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = (2(1(-3cos(2πx + 3) - 3)^2 - 2(-3cos(2πx + 3) - 3) + 1) + 3)/(1(1(-3cos(2πx + 3) - 3)^2 - 2(-3cos(2πx + 3) - 3) + 1) + 3), g(x) = (3(-2|x + 3| + 3) + 1)/(-3(-2|x + 3| + 3)), x = -4.6, and x = -1.4. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = -2|(2x - 1) + 2| - 3, g(x) = -2x^2 - 3, x = -0.4, and x = 2.4. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = -1((1(-1cos(1πx)))/(-1(-1cos(1πx)) - 1)) - 2, g(x) = (-2(-1e^(1x) + 1) - 1)/(-2(-1e^(1x) + 1) + 3), x = -4.3, and x = -3.6. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = -2(1(-1|(-2e^(1x)) + 3| + 2)^2 - 5(-1|(-2e^(1x)) + 3| + 2) - 5) - 4 and g(x) = 4(-3(-1|x + 1| + 1) - 4)^2 - 1(-3(-1|x + 1| + 1) - 4) - 2 from x = 0.7 to x = 0.9. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = 1(2cos(2π(-2(3|x - 3| - 1) - 4) + 1) - 1)^2 - 5(2cos(2π(-2(3|x - 3| - 1) - 4) + 1) - 1) + 1 and g(x) = (1(3e^(2(2|x + 2|)) + 2))/(2(3e^(2(2|x + 2|)) + 2) + 3) between the vertical lines x = 3.0 and x = 3.2. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = (-1(2sin(1π(-4x) - 2) - 3) - 3)/(-2(2sin(1π(-4x) - 2) - 3) - 3) and g(x) = -3|(2sin(2πx - 2)) - 1| - 2 from x = 0.3 to x = 0.6. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = -1|(-2cos(1πx - 1) + 1)| - 1 and g(x) = (3x)/(-1x + 2) from x = -3.6 to x = -3.2. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = 3e^(-2(-1|x|)) - 2, g(x) = 2x + 4, x = -0.3, and x = 0.4. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = 2e^(-1((-2(3x - 4) + 1)/(-2(3x - 4) - 3))) + 1, g(x) = -1|((2x - 1)/(1x)) + 2| + 2, x = 0.2, and x = 0.3. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = -3(-3|(-3e^(-2x) + 2) + 2| + 3) and g(x) = 2|((3x - 2)/(-1x + 3)) - 1| + 3 from x = 0.1 to x = 2.6. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = (2(2|x + 1| - 3) + 2)/(-2(2|x + 1| - 3) + 3) and g(x) = -2x - 3 between the vertical lines x = -2.9 and x = -1.3. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = 1cos(3π(-3|((-1x - 1)/(-1x + 2))| - 2) - 3) + 3 and g(x) = -1(-2x^2 + 1) from x = 1.4 to x = 1.5. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = (-3(2cos(1πx + 2) - 1) + 2)/(2(2cos(1πx + 2) - 1) - 1) and g(x) = -4x - 1 from x = 1.1 to x = 1.6. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = (2(5x^2 - 5) - 3)/(-3(5x^2 - 5) - 2) and g(x) = 2x - 1 from x = 0.0 to x = 1.0. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = 2cos(1π(-2x^2 + 4x - 1) - 3) + 1 and g(x) = -2x^2 - 2x - 1 from x = -0.9 to x = -0.8. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = -3cos(2π(-2|x|) + 3) and g(x) = -1x^2 + 3x + 3 from x = 4.2 to x = 4.3. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = 3|(1sin(3π(1x^2 - 1))) + 2| - 3 and g(x) = 2e^(-1(3x + 1)) - 1 from x = -0.6 to x = -0.3. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = (-1(3(-1sin(3π(-2x - 3)))^2 + 2(-1sin(3π(-2x - 3))) + 4) - 1)/(1(3(-1sin(3π(-2x - 3)))^2 + 2(-1sin(3π(-2x - 3))) + 4)) and g(x) = (2(-2e^(-2(-2|x - 3| + 3)) - 2))/(-1(-2e^(-2(-2|x - 3| + 3)) - 2) + 2) between the vertical lines x = 4.2 and x = 4.3. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = -3(1cos(2π(-2|((-1x - 1)/(1x + 2)) - 3| - 3) + 1) - 2)^2 - 3(1cos(2π(-2|((-1x - 1)/(1x + 2)) - 3| - 3) + 1) - 2) - 4 and g(x) = (-1(4(1cos(2πx) + 1)^2 - 1(1cos(2πx) + 1) + 1) - 1)/(1(4(1cos(2πx) + 1)^2 - 1(1cos(2πx) + 1) + 1) - 3) from x = -0.3 to x = 0.2. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = -1sin(2π(2|x - 1| - 2) - 1) + 3 and g(x) = 3|x - 3| + 2 from x = 3.1 to x = 3.3. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = 2e^(1(-1(2|(3x - 4) + 3| - 1)^2 - 1(2|(3x - 4) + 3| - 1) + 1)), g(x) = (2(-2(3x + 2)^2 - 3(3x + 2) + 4) - 3)/(3(-2(3x + 2)^2 - 3(3x + 2) + 4) + 2), x = 0.0, and x = 0.7. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = 1cos(1π(4((-2x - 3)/(2x - 3)) - 5) - 3) - 2 and g(x) = (3(2cos(3πx) - 3) + 2)/(-2(2cos(3πx) - 3) - 2) from x = 2.3 to x = 2.4. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = 2|((3(5x - 3) - 2)/(-3(5x - 3) - 1))| + 3 and g(x) = (1(3|x + 2| - 3) + 3)/(2(3|x + 2| - 3)) from x = -3.1 to x = -0.9. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = 1|(2sin(2πx - 1)) - 1| + 1, g(x) = (-2x - 2)/(2x), x = -0.4, and x = -0.2. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = -1|(2cos(3πx + 3) - 1) + 3| + 2 and g(x) = 1x^2 + 4x + 5 from x = -2.6 to x = -2.1. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = -1(3((-3(2|x| - 1) - 1)/(1(2|x| - 1) + 2))^2 - 4((-3(2|x| - 1) - 1)/(1(2|x| - 1) + 2)) - 3) + 4 and g(x) = 4(-2|(2x^2 - 5x + 4)| + 2) - 3 between the vertical lines x = 1.0 and x = 2.1. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = (-2(-2|(2(-5x^2 + 2x) + 1) + 1|) + 3)/(3(-2|(2(-5x^2 + 2x) + 1) + 1|) + 1) and g(x) = -1(2((2x + 3)/(-3x - 3))^2 - 3((2x + 3)/(-3x - 3)) + 5) - 4 between the vertical lines x = 0.7 and x = 0.7999999999999999. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = 1sin(2π((-3x - 2)/(1x - 2)) + 1) + 2 and g(x) = -3x + 3 from x = 0.5 to x = 0.6. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = -4(-1(1|x - 1| + 3)^2 + 3(1|x - 1| + 3) + 3) + 2, g(x) = 1sin(2π(-1|x - 2| + 2) + 1) + 3, x = 0.1, and x = 1.8. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = 3|((-2(3cos(3πx) + 2) + 1)/(1(3cos(3πx) + 2) + 3)) + 3| - 3 and g(x) = 4((1x - 3)/(-3x - 3))^2 - 5((1x - 3)/(-3x - 3)) + 3 from x = -3.7 to x = -3.6. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = -2e^(-2(-1|x - 2| + 3)) + 3 and g(x) = 2|x - 3| - 1 from x = 1.0 to x = 4.6. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = 1|((3(-3(2x^2 + 2x) + 1) - 1)/(3(-3(2x^2 + 2x) + 1) - 1)) + 2| - 2, g(x) = -2sin(1π(-1(2|x - 1| - 2)) - 3) + 1, x = -3.5, and x = -3.0. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = -3|((1(-1x - 3) + 3)/(2(-1x - 3) - 3))| + 1, g(x) = (-2(3x^2 + 1x - 4) - 1)/(1(3x^2 + 1x - 4) + 2), x = -3.0, and x = -1.2. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = -4(-1sin(2π(1x + 4) + 1) + 1)^2 + 4(-1sin(2π(1x + 4) + 1) + 1) + 4 and g(x) = -2e^(1((-3x - 1)/(3x - 1))) - 2 from x = -1.5 to x = -1.4. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = -1|(-1sin(2π(-4x^2 + 5x + 3) - 3) + 1) - 2| - 1 and g(x) = -3(-3x - 2)^2 + 5(-3x - 2) - 4 between the vertical lines x = -1.0 and x = -0.9. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = (-1(-2cos(3πx - 2) + 2))/(-1(-2cos(3πx - 2) + 2) + 2) and g(x) = -2|x - 1| - 2 from x = 0.4 to x = 0.7. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = -3sin(3π(-1|x + 2| + 3) + 3) + 2, g(x) = (3x + 1)/(1x + 3), x = -0.3, and x = -0.1. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = (3(5(3|(-5x^2 + 2x + 3) - 2|) - 3) + 3)/(2(5(3|(-5x^2 + 2x + 3) - 2|) - 3) - 1), g(x) = (3(-1|(2x - 2) + 3| + 1) + 2)/(1(-1|(2x - 2) + 3| + 1) + 1), x = -0.4, and x = -0.2. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = -1(2sin(2π((-2x + 2)/(-2x - 1)) + 2) + 1)^2 - 4(2sin(2π((-2x + 2)/(-2x - 1)) + 2) + 1) + 4 and g(x) = (1(2x - 4) + 1)/(2(2x - 4) + 3) between the vertical lines x = -0.7 and x = -0.6. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = (1(-5(-2|(3cos(2πx + 2) - 1) + 1|)) - 3)/(1(-5(-2|(3cos(2πx + 2) - 1) + 1|))) and g(x) = -1|(3(-3x + 1)^2 + 5(-3x + 1) - 1) + 3| from x = 0.4 to x = 0.5. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = 3|(3((3(5x - 2) - 1)/(-1(5x - 2) + 3))^2 + 2((3(5x - 2) - 1)/(-1(5x - 2) + 3)) - 2) - 3| - 3 and g(x) = (3(-1|(4x^2 - 5x) + 2| - 1) + 1)/(1(-1|(4x^2 - 5x) + 2| - 1) + 1) from x = 0.5 to x = 0.6. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = -5(-1x + 2)^2 + 5(-1x + 2) - 3, g(x) = -1|x + 2| + 1, x = 1.2, and x = 2.0. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = -1e^(-2(3(1x + 5)^2 - 5(1x + 5) - 3)) + 1, g(x) = 2(-4x - 4)^2 - 3(-4x - 4) + 1, x = -1.4, and x = -1.0. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = (-1(4(-2|(-2x - 5) - 1| - 1)^2 - 5(-2|(-2x - 5) - 1| - 1) + 1))/(1(4(-2|(-2x - 5) - 1| - 1)^2 - 5(-2|(-2x - 5) - 1| - 1) + 1) + 2) and g(x) = -2e^(-1(-5(5x^2 + 3x - 4) + 4)) between the vertical lines x = -1.3 and x = 0.7. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = (-1(3cos(2π(-2x - 4) + 2) + 1) - 1)/(-3(3cos(2π(-2x - 4) + 2) + 1) - 3) and g(x) = (2(-5x^2 - 5x + 3) + 2)/(1(-5x^2 - 5x + 3)) between the vertical lines x = -1.5 and x = 0.5. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = -1|((1(2(-1x - 3)^2 - 2(-1x - 3) + 1) + 1)/(1(2(-1x - 3)^2 - 2(-1x - 3) + 1) + 3))| + 2, g(x) = 2|(2((1x - 3)/(3x))^2 + 4((1x - 3)/(3x)) + 1)|, x = 1.2, and x = 2.2. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = 1|((-2(-5x + 1) - 3)/(1(-5x + 1) - 3)) - 2|, g(x) = -1|(-5x^2 + 5x + 4) - 3| + 2, x = -0.1, and x = 0.1. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = 2(2sin(1π(2|((-2x + 1)/(1x + 3))| - 2)) + 1)^2 - 3(2sin(1π(2|((-2x + 1)/(1x + 3))| - 2)) + 1) - 2 and g(x) = (-1(1(2x^2 + 2x + 1) - 2) + 3)/(2(1(2x^2 + 2x + 1) - 2) + 2) between the vertical lines x = -2.6 and x = -2.5. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = -1e^(2(3|(-1x - 2)| - 1)) - 2, g(x) = -1|(-1cos(3πx - 3) + 1) + 1| - 3, x = -2.5, and x = -1.5. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = -3((2(-5(2|x + 1| + 1)^2 + 2(2|x + 1| + 1) - 2) + 3)/(-3(-5(2|x + 1| + 1)^2 + 2(2|x + 1| + 1) - 2) - 2)) + 1 and g(x) = 1((1(-1x^2 - 5x - 4) + 1)/(-1(-1x^2 - 5x - 4) - 2)) + 1 between the vertical lines x = -4.5 and x = -0.5. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = 1cos(2π(1|x + 1| + 2)) - 2, g(x) = -4x - 1, x = 0.2, and x = 0.5. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = 1cos(1π(2x + 2) - 3) and g(x) = -2|x + 1| + 1 between the vertical lines x = -0.2 and x = -0.0. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = -3cos(3π(2|(1((-2x + 3)/(1x + 3))^2 + 5((-2x + 3)/(1x + 3)) + 4) + 3| - 2) + 3), g(x) = -1|(-3((-1x + 1)/(1x - 2)) - 2) - 2| + 1, x = -3.8, and x = -3.6999999999999997. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = -3|(-3x) - 1| + 1 and g(x) = 1x^2 - 2x - 3 from x = -0.6 to x = 0.1. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = (2(2|x + 2| - 2) + 1)/(-2(2|x + 2| - 2) - 2) and g(x) = -2|x + 2| + 3 between the vertical lines x = -3.9 and x = -2.6. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = 2(2((2(-2|x + 2| + 3))/(3(-2|x + 2| + 3) - 2)))^2 - 4(2((2(-2|x + 2| + 3))/(3(-2|x + 2| + 3) - 2))) + 5 and g(x) = (-1(-3cos(1π(1x^2 + 4x - 1) - 3)) + 2)/(2(-3cos(1π(1x^2 + 4x - 1) - 3)) - 3) from x = 3.5 to x = 3.7. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = -2cos(2π(1|(-1(-5x^2 + 3x + 3) - 2) + 3|) - 3) - 3 and g(x) = -1cos(3π((-1(4x - 2) - 3)/(-3(4x - 2) + 2)) + 1) - 2 between the vertical lines x = 4.9 and x = 5.0. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = 3|(-3cos(1π(3((-2x - 3)/(1x - 3))^2 + 5((-2x - 3)/(1x - 3)) - 3) - 1) + 1) + 3| - 3 and g(x) = 3|(3(-1sin(2πx) + 2)^2 + 5(-1sin(2πx) + 2) - 1) - 2| - 3 between the vertical lines x = 4.3 and x = 4.3999999999999995. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = (-1(-3(-2x - 5)^2 + 1(-2x - 5) - 1) - 3)/(-2(-3(-2x - 5)^2 + 1(-2x - 5) - 1) + 1) and g(x) = -3((-3x)/(-2x - 2))^2 - 3((-3x)/(-2x - 2)) + 4 between the vertical lines x = -0.5 and x = 0.9. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = 2|(1sin(1π(1x + 2) - 2) + 1) - 3| + 3 and g(x) = (-3(-1cos(1πx - 2)) + 2)/(3(-1cos(1πx - 2))) from x = -2.8 to x = -1.9. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = 2|(-3((-2(2x^2 - 1x - 1) + 2)/(3(2x^2 - 1x - 1) - 1)) + 2) + 3| + 1 and g(x) = (-3(-3(-1x^2 - 4x - 3)) + 3)/(-2(-3(-1x^2 - 4x - 3))) between the vertical lines x = -3.0 and x = -1.0. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = -1|(5x^2 - 1)| + 1 and g(x) = 2x^2 + 1x - 3 between the vertical lines x = -0.9 and x = 0.8. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = (-1(1(-3cos(3πx - 3))^2 - 4(-3cos(3πx - 3)) + 2) - 1)/(1(1(-3cos(3πx - 3))^2 - 4(-3cos(3πx - 3)) + 2) - 3), g(x) = (1(-1x^2 + 3x + 1) + 2)/(-3(-1x^2 + 3x + 1) - 1), x = -1.2, and x = -0.8. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = -3sin(3π(4((-3x - 3)/(3x - 2))) - 2) - 3 and g(x) = 3sin(3π(2x - 1) - 1) - 1 between the vertical lines x = -4.3 and x = -4.1. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = 1(-4x^2 - 3x + 1) - 4, g(x) = 2x - 5, x = -1.6, and x = 0.3. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = 2sin(1π(3|(-1x^2 + 3x - 3) - 1| - 3) - 3) + 1 and g(x) = 3|((1x + 1)/(-2x - 3)) - 3| - 2 between the vertical lines x = -1.4 and x = -1.2999999999999998. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = -5(3|(5((1x + 2)/(1x + 1))^2 + 4((1x + 2)/(1x + 1)) - 1) + 1| - 2) + 2 and g(x) = 1(2(-1|x - 2| + 1) + 4)^2 + 3(2(-1|x - 2| + 1) + 4) - 2 from x = -2.2 to x = -1.5. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = (-1(-4(1x + 2)^2 + 4) + 3)/(2(-4(1x + 2)^2 + 4) + 2) and g(x) = 4((1x - 2)/(2x - 3)) + 5 between the vertical lines x = -0.9 and x = 1.6. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = 1(-2sin(1π((2(-1|x + 3| - 3) - 3)/(-3(-1|x + 3| - 3) - 2)) + 3) - 3)^2 - 1 and g(x) = -2((2(5x^2 - 5x + 5) + 1)/(3(5x^2 - 5x + 5) - 1)) + 5 from x = -4.0 to x = -2.0. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = -3(3|((-1(5x^2 - 4x) - 1)/(-2(5x^2 - 4x) + 1)) - 2|) - 4 and g(x) = -5(2((1x - 1)/(-2x + 1)) - 3)^2 - 4 from x = 0.8 to x = 0.9. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = -2sin(3π((1(-4x^2 + 5x - 1) + 2)/(2(-4x^2 + 5x - 1) + 2)) + 3) and g(x) = -1sin(3π((2x - 1)/(2x + 3)) + 1) - 1 between the vertical lines x = 1.2 and x = 1.3. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = -2sin(3π((1x + 1)/(2x - 1))), g(x) = (3x - 3)/(1x + 3), x = 0.6, and x = 0.7. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = 1|((-2x + 3)/(-1x + 3)) + 1| - 3, g(x) = (1x + 1)/(3x - 2), x = 0.3, and x = 2.6. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = (-2(-1|(4x^2 - 5x + 4)| + 1))/(2(-1|(4x^2 - 5x + 4)| + 1) - 1) and g(x) = -3sin(1π((2x - 2)/(2x)) + 2) - 2 between the vertical lines x = 0.1 and x = 0.2. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = -1((1(2|(-2x^2 - 3x - 2)| - 2) - 1)/(-3(2|(-2x^2 - 3x - 2)| - 2) - 2)) + 2, g(x) = (-3(-2(1x + 3)^2 - 2(1x + 3) + 3) - 3)/(-2(-2(1x + 3)^2 - 2(1x + 3) + 3) + 1), x = -3.9, and x = -3.2. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = -4((-2(-4x^2 - 5x + 2) + 2)/(-1(-4x^2 - 5x + 2) + 2)) + 3 and g(x) = -3|(-1x^2 - 2x - 1) - 3| - 3 between the vertical lines x = -1.0 and x = -0.2. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = (-1(5x^2 - 3) + 3)/(2(5x^2 - 3) - 3) and g(x) = -1|x + 1| + 1 from x = -2.5 to x = -1.0. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = -5(-2x - 2)^2 + 3(-2x - 2) + 3, g(x) = -1x - 3, x = -1.6, and x = -0.6. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = 1(4(-1sin(1πx + 3) + 2) - 3)^2 - 3(4(-1sin(1πx + 3) + 2) - 3) + 4, g(x) = 3sin(1π(1x^2 + 1x - 2)) - 1, x = 1.7, and x = 3.3. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = 1(2|((2(1x^2 - 2x) - 2)/(2(1x^2 - 2x) - 3)) + 2| - 2) - 3 and g(x) = -3((-1(1|x| + 1) - 3)/(3(1|x| + 1) - 2)) + 1 between the vertical lines x = -0.6 and x = -0.5. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = 3|(5(3sin(3π((-3x)/(-2x - 2)))) - 4) + 3| - 3 and g(x) = 1|(-1e^(-2((-3x + 1)/(-2x - 1))) - 1) - 3| - 3 between the vertical lines x = -0.9 and x = -0.8. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = -4((1(-5(-2|x - 1| + 1) - 2) - 3)/(-1(-5(-2|x - 1| + 1) - 2) - 2))^2 - 1((1(-5(-2|x - 1| + 1) - 2) - 3)/(-1(-5(-2|x - 1| + 1) - 2) - 2)) and g(x) = -2cos(2π(-3|(2x^2 - 2x - 4) + 3| - 1) - 1) from x = -0.5 to x = -0.4. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = -3(-1(2|x + 3| + 3)^2 + 2(2|x + 3| + 3) + 5) - 4 and g(x) = 2(1|x + 3| - 1) - 4 between the vertical lines x = -3.2 and x = -2.8. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = -1|((-2(3x + 2))/(-3(3x + 2) - 3)) - 3| and g(x) = -5(-1cos(3πx + 2) + 2) - 5 between the vertical lines x = -1.0 and x = -0.9. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = (2(1cos(1πx) - 2) - 3)/(-2(1cos(1πx) - 2) - 3), g(x) = 2|x + 2| - 2, x = 3.8, and x = 4.2. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = -3|((1(1(-2x + 4)^2 + 3(-2x + 4) - 1) - 1)/(-2(1(-2x + 4)^2 + 3(-2x + 4) - 1) + 3)) + 3| - 3, g(x) = 4((-2(-2|x - 1| + 1) + 1)/(3(-2|x - 1| + 1))) - 5, x = 0.3, and x = 1.7. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = 3((-1x)/(1x - 3))^2 - 5((-1x)/(1x - 3)) + 3, g(x) = 2|x| + 1, x = 0.5, and x = 2.0. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = -3cos(1π(-3(-1|x - 2| - 3) + 1) + 2) + 3, g(x) = -1(2|x + 1| - 1) + 5, x = 0.7, and x = 1.0. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = -2|(5x^2 - 5x - 3) - 2| - 2 and g(x) = -2|x + 3| + 3 between the vertical lines x = 1.4 and x = 1.8. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = (-1(3|x - 2| - 1) - 1)/(1(3|x - 2| - 1) - 3), g(x) = 2|x|, x = 1.1, and x = 3.2. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = (2(5(-2cos(3πx - 1) - 1) - 5) + 1)/(-2(5(-2cos(3πx - 1) - 1) - 5) - 3), g(x) = 2(2cos(3πx + 3) - 3)^2 + 1(2cos(3πx + 3) - 3) - 5, x = -0.8, and x = -0.4. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = 2|(1cos(1πx - 1) + 1) + 3| - 1 and g(x) = 3|x| - 3 between the vertical lines x = -3.0 and x = -2.7. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = 1|((2(-1x + 2))/(-2(-1x + 2) + 1)) + 3| + 3 and g(x) = -1(-4x^2 - 2x - 5) + 1 between the vertical lines x = 1.5 and x = 1.6. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = -1|(1sin(3πx - 3) - 1) + 3| + 1, g(x) = 2x - 1, x = -0.3, and x = -0.0. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = 3|(-3cos(2πx + 3)) + 1| - 1 and g(x) = (-1x - 2)/(-2x) from x = 0.1 to x = 0.2. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = 1(1|(-2(-3cos(2πx + 2) - 3) - 2) - 3|)^2 - 5(1|(-2(-3cos(2πx + 2) - 3) - 2) - 3|) + 2 and g(x) = 1e^(1(-3(-5x + 3)^2 + 5(-5x + 3) + 4)) - 1 from x = -2.9 to x = -2.7. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = -3|(1cos(1πx - 3)) - 1| - 1 and g(x) = 5x + 3 from x = -2.0 to x = -1.7. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = (-2(3|(-2cos(2π(-1x^2 + 4x + 3) - 2) + 1) - 3| - 3) + 1)/(-2(3|(-2cos(2π(-1x^2 + 4x + 3) - 2) + 1) - 3| - 3)), g(x) = 2|(-1sin(1π(-5x^2 + 3x - 3) - 1)) - 3|, x = -0.2, and x = -0.1. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = -3|(1cos(3π((-1x + 1)/(-2x - 2)) - 3) + 2) + 1| and g(x) = -3|(1cos(2πx - 3) - 1) - 1| - 3 from x = -0.7 to x = -0.6. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = -3sin(1π(-4x^2 + 5) - 2) + 1 and g(x) = -3x^2 + 4x + 3 between the vertical lines x = 1.1 and x = 1.2000000000000002. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = -1|((-1x - 1)/(-3x + 2)) - 2| + 2 and g(x) = -4x - 4 from x = 0.6 to x = 0.7. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = 1(-3|(-3((-3x + 1)/(1x + 1))^2 - 5((-3x + 1)/(1x + 1)) + 3) + 3|) + 2 and g(x) = (1(-5(1sin(3πx + 3) - 1)) + 1)/(-2(-5(1sin(3πx + 3) - 1)) - 3) between the vertical lines x = 0.0 and x = 0.1. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = 3sin(3π((-3x + 3)/(-1x + 2)) - 3) + 3 and g(x) = (3x - 1)/(1x - 3) between the vertical lines x = -0.0 and x = 0.1. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = -2sin(2π(1x^2 + 2x + 1)) + 3 and g(x) = 1x^2 + 2x - 2 between the vertical lines x = 1.3 and x = 1.4. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = -1|(-5x - 3) + 3| and g(x) = -1x - 2 from x = -0.3 to x = 0.5. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = -5(-3x^2 + 4x + 1) - 2 and g(x) = (1x)/(-3x) between the vertical lines x = -0.3 and x = 1.6. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = (-1(-1e^(-2x) + 2) - 1)/(2(-1e^(-2x) + 2) - 1) and g(x) = -2x^2 - 3x + 4 between the vertical lines x = -2.4 and x = -0.2. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = (-1(-5(-3e^(1x) - 3)^2 - 3(-3e^(1x) - 3) - 2) + 1)/(2(-5(-3e^(1x) - 3)^2 - 3(-3e^(1x) - 3) - 2) - 1) and g(x) = -1|(-3sin(1πx - 2) + 1)| + 1 between the vertical lines x = -4.3 and x = -3.4. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = -1(-2|(1e^(1(-5x^2 + 3)) - 2) + 3| + 1) - 3 and g(x) = 1|(-3cos(1π(2x)) - 3) - 3| + 3 from x = -0.6 to x = 0.6. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = (-3(-5(4x - 3)^2 - 2(4x - 3) + 5) - 3)/(2(-5(4x - 3)^2 - 2(4x - 3) + 5) - 1), g(x) = 3|(-1x^2 - 5x + 3)| + 3, x = 0.4, and x = 1.0. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = -2|((-1(1x) + 1)/(-1(1x) - 1)) - 3| + 2, g(x) = 2sin(3π(-3x^2 - 1x - 2) - 1) + 1, x = -2.4, and x = -2.3. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = -2e^(2((1x)/(3x))) and g(x) = -1|x| + 1 between the vertical lines x = -4.9 and x = 4.9. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = 1(-2cos(2π(-3x^2 - 1x - 5) - 3) + 3) + 5 and g(x) = 2e^(-1(1x + 1)) + 3 from x = -2.1 to x = -2.0. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = -5(1cos(2πx))^2 - 4 and g(x) = -2x + 4 between the vertical lines x = 4.2 and x = 4.3. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = 5(-2cos(1πx - 2) - 3)^2 - 2(-2cos(1πx - 2) - 3) - 2, g(x) = 2|x - 2| + 1, x = -4.6, and x = -4.1. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = -1e^(2((2(4(3x - 5)^2 + 4(3x - 5)) - 1)/(2(4(3x - 5)^2 + 4(3x - 5)) - 1))) + 1 and g(x) = -1(-3sin(2π((1x - 3)/(2x - 3)) + 1))^2 + 2(-3sin(2π((1x - 3)/(2x - 3)) + 1)) + 3 from x = 1.7 to x = 1.8. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = 1(2e^(1x) + 2)^2 + 2, g(x) = -1x^2 - 5x + 4, x = -4.5, and x = -1.2. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = -4(3|(-4((-2x - 2)/(-1x + 2))^2 - 4((-2x - 2)/(-1x + 2)) + 3) + 3|) + 5 and g(x) = 1cos(1π(-3(-2|x| - 1) - 3) + 3) - 1 between the vertical lines x = -3.3 and x = -2.9. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = -1((-1(-5(3|x - 3| - 3) - 1) + 3)/(1(-5(3|x - 3| - 3) - 1) - 2))^2 - 2((-1(-5(3|x - 3| - 3) - 1) + 3)/(1(-5(3|x - 3| - 3) - 1) - 2)) - 3, g(x) = -2(4((-2x - 1)/(3x + 3))^2 + 5((-2x - 1)/(3x + 3)) + 3) - 5, x = 2.2, and x = 3.8. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = 5(-1|(-1e^(1(1x^2 + 1x - 4)) + 2) + 2|) + 4 and g(x) = (2(-1(-5x - 2)^2 - 1(-5x - 2) + 5) + 1)/(-1(-1(-5x - 2)^2 - 1(-5x - 2) + 5) + 3) from x = 1.8 to x = 1.9. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = 2|((1(-5x - 5) - 2)/(-3(-5x - 5) + 4))| - 3, g(x) = (-1(-2|x - 2|) + 1)/(-3(-2|x - 2|) - 1), x = -1.2, and x = 1.9. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = (-1(1(-1|(-4x) + 2| - 2)^2 + 3(-1|(-4x) + 2| - 2) - 3) - 3)/(-3(1(-1|(-4x) + 2| - 2)^2 + 3(-1|(-4x) + 2| - 2) - 3) + 2) and g(x) = 4(-2|((1x + 1)/(-1x + 2)) - 2| + 3) - 1 from x = 1.0 to x = 1.3. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = 2|(3cos(3π(2x + 1) - 3) - 2) + 2| - 1 and g(x) = 1sin(3π(5x + 2) + 1) + 2 from x = 4.1 to x = 4.2. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = 2|(-3(-1((3x + 3)/(-1x + 3))^2 - 5((3x + 3)/(-1x + 3)) - 5) + 1) + 2| - 3 and g(x) = (2(-2cos(1π(-5x^2 + 5x + 5) - 3) - 1) + 3)/(2(-2cos(1π(-5x^2 + 5x + 5) - 3) - 1) - 1) between the vertical lines x = -3.0 and x = -2.9. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = -4((3(-2sin(3πx - 2)))/(-1(-2sin(3πx - 2)) - 1))^2 - 4((3(-2sin(3πx - 2)))/(-1(-2sin(3πx - 2)) - 1)) and g(x) = 1(3cos(1πx + 1) + 2)^2 + 2(3cos(1πx + 1) + 2) - 4 from x = -1.4 to x = -1.2. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = -2cos(1π(1|x + 3|) - 3) + 1 and g(x) = 1|x + 1| - 1 from x = 0.4 to x = 1.4. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = -3(1((-1x - 1)/(1x + 1))^2 - 2) - 3, g(x) = -3(-4x^2 + 5x + 2) - 3, x = -0.4, and x = 1.7. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = -1((-2(-3(2|x - 3| + 1)^2 + 1(2|x - 3| + 1) + 3) - 3)/(2(-3(2|x - 3| + 1)^2 + 1(2|x - 3| + 1) + 3) - 1)) and g(x) = 5(1|(1sin(1πx + 2)) + 1| - 3)^2 + 2(1|(1sin(1πx + 2)) + 1| - 3) - 1 from x = 3.0 to x = 3.1. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = -1(-3cos(1π((2x + 1)/(-2x - 2)) - 3) + 3) + 5 and g(x) = (2(-3|x + 1| - 2) + 3)/(1(-3|x + 1| - 2) + 2) between the vertical lines x = -0.9 and x = -0.8. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = (2(-1|x| + 2) - 3)/(-2(-1|x| + 2)) and g(x) = -5x - 1 between the vertical lines x = -1.8 and x = -0.2. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = -1(3|(5((-2x)/(-2x - 2))^2 + 2((-2x)/(-2x - 2)) + 1) - 3| + 3) + 4 and g(x) = -2e^(-1((-3(3x^2 - 4x + 1) - 2)/(1(3x^2 - 4x + 1) + 3))) + 3 from x = -0.6 to x = -0.1. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = -1cos(1π((3x + 1)/(-2x)) - 2) + 3, g(x) = -2x^2 + 2x + 3, x = -0.1, and x = 0.0. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = 2cos(3π(-4(-1x^2 + 3x - 2) - 2) + 2) - 2, g(x) = (1(4x - 1) + 2)/(2(4x - 1)), x = -0.2, and x = -0.1. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = -2(5(3|(-1cos(1πx) - 2)| - 3) - 5)^2 + 5, g(x) = -3(-1|(-4x^2 + 4x - 3) + 2| - 3) - 5, x = 0.7, and x = 0.7999999999999999. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = 2|(1cos(3π(5(3x + 1)^2 + 5(3x + 1) + 5) + 1) + 3) + 1| - 1, g(x) = 1(2cos(2π(-2x - 4) - 3) - 3)^2 - 1(2cos(2π(-2x - 4) - 3) - 3) + 2, x = 4.8, and x = 4.8999999999999995. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = -2|(4(1cos(2πx - 3) - 2)^2 + 4(1cos(2πx - 3) - 2) + 3) - 2| and g(x) = -3|(1x) - 2| + 2 from x = 3.5 to x = 4.4. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = -2|(-5(3sin(2π(2x^2 - 5x - 5)) + 2) + 3) + 2| - 1 and g(x) = (-3(5(-3|x| - 2)^2 + 3(-3|x| - 2) - 3) - 2)/(1(5(-3|x| - 2)^2 + 3(-3|x| - 2) - 3)) from x = -3.0 to x = -2.9. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = -2(-1(3cos(3π(-3|x - 3| - 2) - 3) - 2) + 4)^2 + 5(-1(3cos(3π(-3|x - 3| - 2) - 3) - 2) + 4) - 5 and g(x) = -2(-2|((-2x + 3)/(-2x)) + 3| - 3)^2 + 3(-2|((-2x + 3)/(-2x)) + 3| - 3) + 1 from x = 0.4 to x = 0.5. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = 1|((1(5(-2cos(3πx + 3) - 1)) + 1)/(1(5(-2cos(3πx + 3) - 1)))) + 2| - 3 and g(x) = -1sin(2π((3(-3x^2 + 4x - 4))/(2(-3x^2 + 4x - 4) + 1)) - 2) + 1 between the vertical lines x = -0.8 and x = -0.5. Round to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = (-3(-3sin(1π(2(2x + 1)^2 + 4(2x + 1) + 2) + 2) - 1) + 2)/(1(-3sin(1π(2(2x + 1)^2 + 4(2x + 1) + 2) + 2) - 1) + 3), g(x) = 1(2|(-5x^2 - 2x + 5) + 3| + 2) + 2, x = 0.3, and x = 0.4. Round your answer to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = 5(1sin(2π((2(-2|x + 2|) - 2)/(1(-2|x + 2|))) - 2) - 2) - 2 and g(x) = -4((-3(-5x + 3))/(1(-5x + 3) - 3))^2 - 4 from x = 0.4 to x = 1.1. Round to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = 3((2(-5x^2 + 2x + 4) - 3)/(1(-5x^2 + 2x + 4) - 2)) + 2, g(x) = (-1(2|x + 3| - 2) + 2)/(2(2|x + 3| - 2) - 3), x = -1.2, and x = -0.5. Round your answer to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = -5(-2|(-3x + 2) - 2| - 3)^2 + 2(-2|(-3x + 2) - 2| - 3) + 4, g(x) = -2((-3x - 3)/(2x))^2 + 1, x = -0.2, and x = 0.3. Round your answer to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = -2cos(3π(3(-2|x - 3| - 3)^2 - 2(-2|x - 3| - 3) - 4) + 3) + 1 and g(x) = (1(2|x + 2|) - 3)/(-2(2|x + 2|)) from x = 1.1 to x = 1.2000000000000002. Round to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = 2|(2e^(-2(5(-5x + 2)^2 - 5(-5x + 2) + 4)) - 1) - 1| - 1 and g(x) = -3(1((-3x + 2)/(-2x + 1))^2 - 4((-3x + 2)/(-2x + 1)) - 5) - 2 between the vertical lines x = 0.4 and x = 0.6. Round to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = 2sin(2π(-1x - 2) - 2) + 1, g(x) = -2|x + 1| + 1, x = -0.2, and x = -0.0. Round your answer to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = 2|(-2sin(2πx) - 1) - 3| + 3 and g(x) = -1x + 3 between the vertical lines x = -4.3 and x = -4.2. Round to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = -1|(-3(-5x^2 - 5x + 2)) - 3| - 1, g(x) = -3|(4x - 2) + 2| - 1, x = 0.3, and x = 0.7. Round your answer to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = (3(-5(1(-2|x + 1| - 1)^2 + 4(-2|x + 1| - 1) + 2) + 3) + 3)/(-1(-5(1(-2|x + 1| - 1)^2 + 4(-2|x + 1| - 1) + 2) + 3) + 3) and g(x) = (3(-4(-2x^2 - 3x + 1)) + 1)/(-3(-4(-2x^2 - 3x + 1)) - 1) between the vertical lines x = -2.4 and x = 0.4. Round to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = (-2(-1|(-3sin(2π(2x^2 + 3x - 4) - 1) + 2) + 1| - 3))/(3(-1|(-3sin(2π(2x^2 + 3x - 4) - 1) + 2) + 1| - 3) - 2), g(x) = -4((2(-1x + 2) + 1)/(1(-1x + 2) - 2))^2 + 2, x = 1.8, and x = 4.2. Round your answer to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = 2|(-2e^(-1x) + 3) - 2| - 3 and g(x) = (-1x - 3)/(-1x + 2) from x = 0.2 to x = 0.7. Round to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = -2(-1|x + 2| + 1) - 2, g(x) = 5x^2 + 1x - 5, x = -0.9, and x = 1.1. Round your answer to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = 3|(2(-1x + 3)^2 - 5) - 3|, g(x) = (-3(-1|x - 3| - 1) - 1)/(1(-1|x - 3| - 1) + 2), x = 2.2, and x = 3.8. Round your answer to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = -5(-3|(-3cos(2π(5x + 5) - 1) + 1) + 1| + 3)^2 + 2 and g(x) = (2(3|(3cos(2πx + 3) - 2) + 1| - 3) - 1)/(3(3|(3cos(2πx + 3) - 2) + 1| - 3) - 2) between the vertical lines x = -2.6 and x = -2.5. Round to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = -1((1(4x - 1) + 1)/(-2(4x - 1) - 2))^2 - 5((1(4x - 1) + 1)/(-2(4x - 1) - 2)) - 1 and g(x) = (-2(2|x + 1| - 2) + 3)/(3(2|x + 1| - 2) - 2) between the vertical lines x = -2.5 and x = 0.5. Round to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = 5(1((2x + 1)/(1x + 1)))^2 - 5(1((2x + 1)/(1x + 1))) - 3 and g(x) = 3cos(2π(2|x + 2|) + 1) + 1 between the vertical lines x = 3.0 and x = 3.4. Round to 1 decimal place.

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