[User]
Determine the area of the region enclosed by the graphs of f(x) = -1|(-4((-1(2x^2 - 3x - 3) - 2)/(2(2x^2 - 3x - 3) + 3)) - 4) - 2| + 3 and g(x) = 2|((2(1e^(2x) - 2) - 3)/(3(1e^(2x) - 2) - 2)) + 2| - 3 between the vertical lines x = 1.9 and 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) = -2((2(3|(-1x^2 + 5x - 3) + 2| - 1) + 1)/(-1(3|(-1x^2 + 5x - 3) + 2| - 1))) - 3 and g(x) = -5(1|(1x^2 - 3x - 5)| + 1) + 3 from x = 0.1 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) = 4(3sin(1π((-1x + 2)/(3x)) + 1) - 1) + 2, g(x) = -2cos(2π(-3x^2 - 3x - 3) + 1) - 3, x = 0.0, 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(-3((-2(2|x + 1| - 2))/(1(2|x + 1| - 2) - 2))^2 + 5) and g(x) = 2e^(1(-4(3x^2 + 3x - 5) + 2)) from x = -2.4 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) = 1cos(1π(-1(-1|x - 2| + 1)^2 - 2(-1|x - 2| + 1) - 1) - 1) - 2 and g(x) = -3(1x + 2)^2 + 3(1x + 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) = (2(1|(5x^2 + 3x) - 2| - 3) + 1)/(2(1|(5x^2 + 3x) - 2| - 3) - 1), g(x) = 5(-2x^2 - 4x + 4) + 3, x = -2.8, and x = -1.4. 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(1π(-4x^2 - 1x) + 3) + 2) + 2)/(3(-1cos(1π(-4x^2 - 1x) + 3) + 2) - 2) and g(x) = -1cos(2π((2x + 3)/(-2x + 1)) + 3) + 1 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]
Calculate the area enclosed between the functions f(x) = (3(-4(-3x + 4)^2 - 5(-3x + 4) - 4) + 2)/(3(-4(-3x + 4)^2 - 5(-3x + 4) - 4)) and g(x) = -2(-1cos(3πx + 3))^2 + 2(-1cos(3πx + 3)) + 1 from x = 0.2 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) = -5(2(1|((1x)/(2x + 3)) + 3| - 3)^2 - 1) + 3, g(x) = (-1(-2e^(1(-4x^2 + 4x - 4)) - 3) + 1)/(-1(-2e^(1(-4x^2 + 4x - 4)) - 3) - 2), x = -1.4, 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) = -2cos(2π(1((-3x + 1)/(-2x + 3))^2 - 3((-3x + 1)/(-2x + 3)) + 3) + 1) + 2 and g(x) = 3e^(-1(-4x^2 + 1x)) - 1 between the vertical lines x = -0.0 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) = 2|(-1(1e^(-1(4x^2 - 5x - 2)) - 2) - 3)| - 3 and g(x) = 1(-2((3x)/(1x - 3)) + 4)^2 + 1(-2((3x)/(1x - 3)) + 4) - 4 between the vertical lines x = -2.4 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) = 4(3cos(1π((-2x + 2)/(1x - 2))) + 2)^2 + 5(3cos(1π((-2x + 2)/(1x - 2))) + 2) + 5, g(x) = 1(1x + 5)^2 + 5(1x + 5) + 1, x = 2.1, 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) = (2(1(5x^2 + 5x - 3) - 2) + 3)/(1(1(5x^2 + 5x - 3) - 2) - 3), g(x) = 2(2sin(1πx + 2) - 2), x = -1.7, and x = 0.8. 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|(5(3x - 1)^2 - 3(3x - 1)) + 2| + 3) + 2)/(-2(2|(5(3x - 1)^2 - 3(3x - 1)) + 2| + 3) - 3) and g(x) = (-3(1e^(-1(3x^2 - 1x - 2)) + 1) + 2)/(-2(1e^(-1(3x^2 - 1x - 2)) + 1) - 2) from x = 0.2 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) = (2(2(2e^(-1x) - 1)^2 - 5(2e^(-1x) - 1) - 2) - 2)/(2(2(2e^(-1x) - 1)^2 - 5(2e^(-1x) - 1) - 2) + 3) and g(x) = 1|(-1x^2 + 4x - 1) - 1| + 3 from x = -0.6 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) = (-2(-1e^(-1(5(1|x - 1| + 3) + 4)) + 2))/(-3(-1e^(-1(5(1|x - 1| + 3) + 4)) + 2) - 1) and g(x) = 2|(-2cos(2π(3x) + 3)) + 1| - 1 from x = 4.4 to x = 4.5. 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) = 4((-3(1x^2 + 5x + 4))/(3(1x^2 + 5x + 4) + 2)) - 4 and g(x) = -2|((1x - 1)/(1x)) + 1| + 2 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]
Determine the area of the region enclosed by the graphs of f(x) = -3(-1e^(-1(-2|(1x^2 - 4x - 4)|)) + 1) - 1 and g(x) = -1(1sin(1π(3|x + 1| - 1) - 1) + 2)^2 + 2(1sin(1π(3|x + 1| - 1) - 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]
Find the area of the region bounded by the curves f(x) = (-2(-1e^(1(-4x - 2)) + 1) - 1)/(2(-1e^(1(-4x - 2)) + 1) - 1), g(x) = -4((-2x - 3)/(2x + 2)) + 2, 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) = -2cos(2π(-3|(2x^2 - 3x + 3) + 1| + 3) + 1) - 3 and g(x) = -5(1sin(2πx - 1) + 1) + 3 from x = 3.2 to x = 3.3000000000000003. 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(1cos(2π(3|x + 2| + 3) + 1) + 3)^2 + 1, g(x) = -2|(-1e^(-2x) + 3) - 2| - 2, x = -1.5, and x = -1.3. 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) = -2|(2(-1x - 1)^2 - 3(-1x - 1) + 1) - 3| + 3 and g(x) = 1(2|x + 1| - 2) + 3 between the vertical lines x = -0.6 and 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) = -4(3((-3x - 3)/(2x - 3)) + 3)^2 - 1(3((-3x - 3)/(2x - 3)) + 3) - 3 and g(x) = -2|((-3x + 1)/(-1x))| + 2 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) = -1((-2(-1(1|x + 1| - 3)^2 - 2(1|x + 1| - 3) - 1) - 1)/(2(-1(1|x + 1| - 3)^2 - 2(1|x + 1| - 3) - 1))) and g(x) = (-3(-3cos(1π(1x^2 + 5x) + 2) - 2) + 2)/(-2(-3cos(1π(1x^2 + 5x) + 2) - 2) - 3) 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]
Determine the area of the region enclosed by the graphs of f(x) = (3(-5(-2cos(1π(3x - 4) - 3) - 2)^2 + 3(-2cos(1π(3x - 4) - 3) - 2) + 2) + 2)/(1(-5(-2cos(1π(3x - 4) - 3) - 2)^2 + 3(-2cos(1π(3x - 4) - 3) - 2) + 2) - 3) and g(x) = 3|(-4(1x + 3)^2 + 2(1x + 3) - 2)| - 3 between the vertical lines x = -3.0 and x = -2.8. 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(3|(3x^2 - 3x - 2) - 1| - 3) + 2, g(x) = 1(-2e^(-1x) + 2) + 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]
Find the area of the region bounded by the curves f(x) = -4((1(-1|x - 1| + 2) - 1)/(1(-1|x - 1| + 2) - 3)) + 5, g(x) = 2e^(-1(1|x + 1| - 2)) - 1, x = -2.4, 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(-1((-2x - 3)/(3x - 2)) + 4)^2 + 4(-1((-2x - 3)/(3x - 2)) + 4) + 5 and g(x) = -2sin(2π(3x^2 + 1x + 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]
Find the area of the region bounded by the curves f(x) = -1((2(3|x - 3| + 3))/(-2(3|x - 3| + 3) - 2))^2 - 2((2(3|x - 3| + 3))/(-2(3|x - 3| + 3) - 2)) - 4, g(x) = -1(3x^2 + 4x - 3) - 3, x = -1.9, 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) = 2((-3(3x - 2) - 1)/(1(3x - 2)))^2 + 3((-3(3x - 2) - 1)/(1(3x - 2))) - 4 and g(x) = -1cos(3π((-1x)/(-2x - 2))) + 3 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]
Find the area of the region bounded by the curves f(x) = (-2(3cos(3π(1|x - 2| - 2) - 1) - 3) + 3)/(2(3cos(3π(1|x - 2| - 2) - 1) - 3)), g(x) = 1(2|x - 1| + 1) - 3, x = 0.7, and x = 1.1. 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) = -2|(1cos(1π(-5(-3x^2 + 5x - 4) - 1) - 2) + 3) + 2| + 3 and g(x) = -5(2|(-2sin(2πx + 2) + 1)| - 3) + 4 from x = 4.5 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) = 4(3|((-3x + 1)/(2x - 1))| - 3) + 3, g(x) = 3|(-1x - 1) + 2| - 1, x = -1.9, 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) = (1(3|(-3x + 1) + 3|) - 3)/(2(3|(-3x + 1) + 3|) + 2), g(x) = 3(-1|x + 3| + 1)^2 - 3(-1|x + 3| + 1) - 5, x = -4.9, 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) = 3(-2|(5x^2 + 5x - 5) + 3| + 2) - 5, g(x) = 1e^(2((1x)/(1x - 2))) - 2, x = -1.3, 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) = -4(2cos(2π(2(1|x - 2|) - 2) + 2))^2 - 1, g(x) = -5((-2(-4x^2 - 3x - 5) + 3)/(-1(-4x^2 - 3x - 5) - 2)) + 1, x = -3.0, and x = -2.9. 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) = 2cos(3π(2(-2|(4x - 4) - 3|)^2 - 2(-2|(4x - 4) - 3|) + 1) - 1) - 2, g(x) = -3cos(1π(5(-2|x + 2|)^2 + 5(-2|x + 2|))) + 3, x = 4.3, and x = 4.6. 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|((-3(1(-5x^2 + 4x + 1) - 4) - 1)/(-2(1(-5x^2 + 4x + 1) - 4) + 3)) - 2| - 2 and g(x) = 5(3(-3e^(-1x) + 2)^2 + 3(-3e^(-1x) + 2)) - 5 between the vertical lines x = -0.1 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(-1((1x + 2)/(2x + 2))^2 + 3((1x + 2)/(2x + 2)) - 1) - 5) - 1| + 2 and g(x) = 5(-1(-2|x| + 3)^2 + 1) + 4 from x = -0.8 to x = -0.7000000000000001. 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(1π(2(-1((-2x - 2)/(-1x + 2)) + 1)^2 - 3(-1((-2x - 2)/(-1x + 2)) + 1)) - 3) + 1 and g(x) = 1|(-1(-3sin(2πx - 2))^2 + 2(-3sin(2πx - 2)) + 2) + 1| - 2 from x = 0.7 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) = 1cos(3π(-1|((-1(-2x^2 - 1x + 5))/(-1(-2x^2 - 1x + 5) - 1))| + 3) - 1) - 3 and g(x) = 3cos(1π(1|((3x + 2)/(1x + 1))| - 2) + 3) - 1 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(-3sin(3π((-1x - 3)/(2x + 2)) - 1) + 3)^2 - 4(-3sin(3π((-1x - 3)/(2x + 2)) - 1) + 3) + 5 and g(x) = (1(-1|x + 2| + 1) + 3)/(2(-1|x + 2| + 1) - 1) from x = -2.1 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) = (3(-1(-2|(3x^2 - 3) + 3| + 1) + 1) + 2)/(2(-1(-2|(3x^2 - 3) + 3| + 1) + 1) - 1) and g(x) = 2cos(2π(-3(-1x^2 + 3x) + 2) - 3) + 1 from x = 4.5 to x = 4.6. 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(-3|((-2x - 3)/(-1x + 2))| + 2)^2 - 3(-3|((-2x - 3)/(-1x + 2))| + 2) + 4 and g(x) = (1(-2x - 1))/(1(-2x - 1) + 3) from x = -0.9 to x = -0.0. 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(-1|(-3x + 4) + 2| + 1) + 2)/(1(-1|(-3x + 4) + 2| + 1)) and g(x) = -1sin(2π((2x + 2)/(1x + 3))) + 2 from x = 1.9 to x = 2.1. 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(-3x^2 + 1x - 1) - 1) + 2| - 3 and g(x) = 2(1cos(3πx + 1) + 3) - 5 from x = -0.6 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) = (1(5(-4(-1|x| - 2)^2 - 4(-1|x| - 2)) + 4))/(1(5(-4(-1|x| - 2)^2 - 4(-1|x| - 2)) + 4)), g(x) = -2((-2(2x + 4) + 2)/(-1(2x + 4) + 3))^2 + 5((-2(2x + 4) + 2)/(-1(2x + 4) + 3)) + 1, x = -1.5, 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) = (-2(2|(1cos(2πx + 3) - 3)| + 1))/(-2(2|(1cos(2πx + 3) - 3)| + 1) - 2) and g(x) = (2(3|x - 3| - 1) - 1)/(3(3|x - 3| - 1) - 1) between the vertical lines x = 2.7 and 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) = (1(-3(1e^(2x) - 2)^2 - 4(1e^(2x) - 2) + 3) - 2)/(2(-3(1e^(2x) - 2)^2 - 4(1e^(2x) - 2) + 3)), g(x) = (-2(-1x^2 + 4x - 1) + 3)/(1(-1x^2 + 4x - 1)), x = 0.6, 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) = 5(-2sin(1π((-1x)/(1x - 3)) + 1) + 2)^2 + 5(-2sin(1π((-1x)/(1x - 3)) + 1) + 2) - 4 and g(x) = (-1(-1cos(1πx - 1) - 3) - 3)/(2(-1cos(1πx - 1) - 3) + 1) between the vertical lines x = 4.0 and 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) = 1e^(2(5(-2|x| + 2)^2 + 3(-2|x| + 2))) - 2, g(x) = 3e^(-2(-5x + 5)) + 2, x = 0.9, 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|(-3(-5x - 3)^2 - 4(-5x - 3) + 3) - 2|, g(x) = -1|((-2x - 2)/(3x)) + 3| - 1, x = -0.7, and x = -0.6. 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) = 2sin(2π(-1|((2x - 1)/(1x + 3)) + 1| + 2) - 1) + 2 and g(x) = 3(1sin(3πx + 1) - 1)^2 + 5(1sin(3πx + 1) - 1) + 5 from x = -3.1 to x = -3.0. 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(2|(-4(1x^2 + 5x + 5) - 2)|) - 2)/(1(2|(-4(1x^2 + 5x + 5) - 2)|)) and g(x) = -3|(-2(-1cos(3πx))^2 + 3(-1cos(3πx)) - 2) - 2| - 3 between the vertical lines x = -3.4 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) = 2|(2cos(1π(-4x^2 - 5x + 2) - 2) - 3) - 2| - 1 and g(x) = 2((-1x + 2)/(1x))^2 - 4((-1x + 2)/(1x)) - 2 from x = -3.3 to 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) = (3(4(-2cos(1πx - 3) - 1) - 2) - 1)/(-2(4(-2cos(1πx - 3) - 1) - 2) - 3) and g(x) = 2(-2cos(3πx + 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]
Calculate the area enclosed between the functions f(x) = (-1(5(-2|x - 1|)^2 - 2) + 3)/(1(5(-2|x - 1|)^2 - 2) - 2) and g(x) = -4(3x - 2)^2 + 3 from x = 0.5 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) = -3(-2sin(2π(1x^2 - 2x + 1) - 2) + 3) - 1, g(x) = -1(-1x - 2)^2 - 4(-1x - 2) + 5, x = -4.6, and x = -4.5. 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(3π(3|x + 2| + 2) + 2))^2 - 3 and g(x) = -1(-2|x - 3| - 1) + 2 between the vertical lines x = 2.5 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) = (-3(-3(1sin(1πx - 2) + 2)^2 - 1(1sin(1πx - 2) + 2) + 3) - 1)/(-3(-3(1sin(1πx - 2) + 2)^2 - 1(1sin(1πx - 2) + 2) + 3) - 1) and g(x) = -3sin(2π((-2x)/(2x + 1)) + 2) + 3 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) = (1(3|(-2(-1sin(3πx + 3) + 2) + 5)| + 1) + 3)/(-2(3|(-2(-1sin(3πx + 3) + 2) + 5)| + 1) + 3), g(x) = -2(-5((-2x)/(2x - 1)))^2 - 2(-5((-2x)/(2x - 1))) + 4, x = -3.2, 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) = -2(1|((2x + 1)/(-2x + 3))| + 2)^2 - 4(1|((2x + 1)/(-2x + 3))| + 2) - 5, g(x) = -2((-2x - 1)/(2x + 2))^2 - 1((-2x - 1)/(2x + 2)) - 1, x = -1.2, and x = -0.9. 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) = 3sin(1π(1(-3|x + 1| + 1) + 5) - 1) + 2 and g(x) = -2|((2x - 3)/(1x - 2)) + 1| + 3 between the vertical lines x = 1.6 and 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) = -1((1(1|x - 3| - 1) + 3)/(-1(1|x - 3| - 1) - 2))^2 + 3((1(1|x - 3| - 1) + 3)/(-1(1|x - 3| - 1) - 2)) and g(x) = 4(2e^(-1x) - 2) - 2 between the vertical lines x = 2.9 and 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) = (1(5(2|x - 3|) + 1) - 1)/(-1(5(2|x - 3|) + 1) - 3), g(x) = -1((3x + 2)/(-2x + 3))^2 + 5((3x + 2)/(-2x + 3)) - 5, x = 0.2, 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) = -3(1((2(3|x - 1| + 2) - 1)/(1(3|x - 1| + 2) + 3)) - 3)^2 + 1, g(x) = -1|((-3(-3sin(1πx + 1)) - 2)/(-1(-3sin(1πx + 1)) - 2)) - 1|, 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) = 3((1(2|x - 1| + 3) + 3)/(-3(2|x - 1| + 3) - 2)) + 4, g(x) = 1(-2|x - 1| - 1)^2 + 5(-2|x - 1| - 1) + 3, x = -1.0, and x = 3.0. 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|((2(-2sin(2π(1x^2 + 1) + 2)) - 1)/(-2(-2sin(2π(1x^2 + 1) + 2)) + 3)) - 2| + 2 and g(x) = 5(-3e^(1(2x + 3)) - 3)^2 - 2(-3e^(1(2x + 3)) - 3) + 3 from x = -3.2 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) = -2|((-1(-4(-1x^2 + 2x + 3) + 4) - 3)/(-1(-4(-1x^2 + 2x + 3) + 4))) + 1| - 2 and g(x) = -5(3|(1x^2 + 5x + 4) - 3| + 1) + 1 between the vertical lines x = -0.7 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) = -4((1(1cos(1π(3x^2 - 2x - 4) + 1) - 3) - 2)/(3(1cos(1π(3x^2 - 2x - 4) + 1) - 3) - 2)) - 2 and g(x) = 1((-1(1x^2 + 3x + 2) + 1)/(3(1x^2 + 3x + 2) - 2)) + 2 from x = -2.4 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) = -1sin(3π(1(1|(-2x - 5) - 2| + 2)^2 + 3(1|(-2x - 5) - 2| + 2) + 2) - 3) - 2, g(x) = 1((-2(-1cos(1πx - 1)) - 1)/(-1(-1cos(1πx - 1)) + 3))^2 + 3((-2(-1cos(1πx - 1)) - 1)/(-1(-1cos(1πx - 1)) + 3)) - 3, x = 4.4, and x = 4.5. 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) = (-2(-1(-2|x - 1| - 1) + 4) - 3)/(1(-1(-2|x - 1| - 1) + 4) + 3) and g(x) = -1(3sin(1πx - 3) - 1)^2 + 2(3sin(1πx - 3) - 1) + 4 between the vertical lines x = 0.0 and 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(-3sin(2π((2x - 1)/(-3x)) - 3) + 3) and g(x) = -3cos(1π(1x^2 - 5x + 1) + 1) - 2 between the vertical lines x = 1.3 and 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) = 1|(1((-3(3x + 1) - 3)/(1(3x + 1) + 1))^2 + 5((-3(3x + 1) - 3)/(1(3x + 1) + 1)) - 2) + 2| and g(x) = 1((2(1|x - 3| - 2) - 1)/(-3(1|x - 3| - 2) + 2))^2 + 3((2(1|x - 3| - 2) - 1)/(-3(1|x - 3| - 2) + 2)) - 4 between the vertical lines x = 0.3 and 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) = -3|(3((2(-3cos(1πx - 1) - 3))/(2(-3cos(1πx - 1) - 3)))^2 - 3((2(-3cos(1πx - 1) - 3))/(2(-3cos(1πx - 1) - 3))) - 5) + 2| - 3 and g(x) = -3((2(-1x^2 - 2x + 1) + 1)/(2(-1x^2 - 2x + 1) + 2)) + 4 from x = -2.8 to 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) = -3e^(-2(1(2x^2 - 1))) + 1, g(x) = -1(2x^2 + 5x - 5) - 1, x = -3.0, 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(3π((3(-3|x| - 2) + 1)/(1(-3|x| - 2) - 3))) + 3)^2 + 2(2sin(3π((3(-3|x| - 2) + 1)/(1(-3|x| - 2) - 3))) + 3) + 3 and g(x) = -1e^(2(1(-1x^2 + 2x + 2) - 4)) - 2 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]
Find the area of the region bounded by the curves f(x) = -2(1cos(2π(2|x|)) - 1) - 2, g(x) = 1|(1e^(-1x))| + 1, x = 3.7, 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) = -1(-1((1x)/(-2x - 1)) - 5)^2 + 2 and g(x) = -2|((3x + 2)/(-3x + 1)) - 3| - 1 from x = 0.3 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) = (-2(-1(-1x)^2 + 4(-1x) + 4))/(-1(-1(-1x)^2 + 4(-1x) + 4) + 2) and g(x) = -2(-1sin(3πx + 1) - 3) from x = -4.2 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) = -2|((-1(-2x + 5) - 1)/(-1(-2x + 5) + 2)) + 1| + 3 and g(x) = -1e^(1(4x^2 - 4x + 2)) + 1 between the vertical lines x = 1.0 and 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) = 2(-2e^(2(5(-3|x - 3| + 3) + 1)) - 3)^2 and g(x) = -2(-2|(-3cos(3πx - 3) - 3) + 2| - 3) - 4 from x = -3.7 to 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) = 1(1((1x + 1)/(-3x)))^2 - 5(1((1x + 1)/(-3x))) + 2 and g(x) = 3|(-3cos(2πx + 3) - 1) - 3| - 3 from x = -3.8 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) = (3(-2|(-1x^2 + 2x + 3) + 2| - 3) - 1)/(-1(-2|(-1x^2 + 2x + 3) + 2| - 3) - 2) and g(x) = -2e^(-1(1x^2 + 5x + 3)) + 3 between the vertical lines x = -4.0 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) = 1((3(-1(-1|x - 3| + 2)^2 - 1(-1|x - 3| + 2)) - 2)/(3(-1(-1|x - 3| + 2)^2 - 1(-1|x - 3| + 2)) + 3)) + 1 and g(x) = 1(-3|(1x^2 + 2x - 5)| - 1) - 5 between the vertical lines x = -0.6 and 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) = (1(-3(1sin(2π(-5x + 1) + 3))^2 + 4(1sin(2π(-5x + 1) + 3)) + 5) + 3)/(2(-3(1sin(2π(-5x + 1) + 3))^2 + 4(1sin(2π(-5x + 1) + 3)) + 5)) and g(x) = 3(3((3x - 3)/(1x))^2 - 1((3x - 3)/(1x)) - 1) from x = 0.8 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(3π((1x + 3)/(1x + 2))) - 1) - 2| - 3 and g(x) = -5((1x - 3)/(-1x + 3))^2 + 4((1x - 3)/(-1x + 3)) from x = -1.7 to 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) = 5((-1(-1sin(2πx - 3)) - 2)/(-1(-1sin(2πx - 3)) + 2))^2 - 5((-1(-1sin(2πx - 3)) - 2)/(-1(-1sin(2πx - 3)) + 2)) - 3 and g(x) = 1sin(3π(1x - 5) + 3) + 3 between the vertical lines x = 2.9 and x = 3.5. 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(1π(-1|x + 1| + 2))) + 2)/(-2(-2sin(1π(-1|x + 1| + 2))) - 1), g(x) = -3|(-1x + 3) - 1|, x = 4.0, and x = 4.9. 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(2((1(2sin(2πx - 3) - 2) + 3)/(3(2sin(2πx - 3) - 2) + 1))^2 + 4((1(2sin(2πx - 3) - 2) + 3)/(3(2sin(2πx - 3) - 2) + 1)) - 3) + 1 and g(x) = -3cos(2π(3(3|x + 1| - 2) + 2) - 1) + 3 from x = -1.7 to 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) = 5((-2(-1|x - 3| + 1) - 3)/(2(-1|x - 3| + 1) + 1))^2 - 4((-2(-1|x - 3| + 1) - 3)/(2(-1|x - 3| + 1) + 1)) - 4 and g(x) = 1|(-4x - 2)| - 2 between the vertical lines x = -0.3 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) = (-2(3cos(1π(-4x + 2) + 3) - 2) - 3)/(3(3cos(1π(-4x + 2) + 3) - 2) - 1) and g(x) = (3(-1cos(2πx - 1) - 2))/(2(-1cos(2πx - 1) - 2) + 3) from x = -3.8 to x = -3.7. 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) = -1|(-1(4x^2 + 1x + 3)) - 3| + 3, g(x) = -3sin(3π(-5x + 3)) - 2, 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) = (-1(4(1|(-2x + 1) + 3| + 1)^2 + 1(1|(-2x + 1) + 3| + 1)) + 2)/(-2(4(1|(-2x + 1) + 3| + 1)^2 + 1(1|(-2x + 1) + 3| + 1)) + 1), g(x) = 1|(2cos(3π((1x - 2)/(1x - 3)))) + 1| - 1, x = 2.4, and x = 2.5. 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) = (2(3(2(-2|x + 1| + 3)^2 + 3(-2|x + 1| + 3) - 3) - 5) + 3)/(1(3(2(-2|x + 1| + 3)^2 + 3(-2|x + 1| + 3) - 3) - 5) - 3), g(x) = (3(-1(1x + 1)^2 - 1(1x + 1) - 2) + 2)/(1(-1(1x + 1)^2 - 1(1x + 1) - 2) + 1), x = -1.9, 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) = 3sin(1π(-1(1x^2 - 5x - 1) - 2) + 3) - 3 and g(x) = 2|(2x^2 - 1x - 3) + 1| - 3 from x = -1.0 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) = (2(2cos(2π(1x^2 + 4x + 5) + 2) + 1))/(2(2cos(2π(1x^2 + 4x + 5) + 2) + 1) + 3), g(x) = (3(1e^(1x) + 2) - 3)/(-1(1e^(1x) + 2) - 3), x = 1.4, and x = 1.5. 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) = (-1(-2(3|x + 3| + 1)^2 + 2(3|x + 3| + 1) + 4) + 2)/(3(-2(3|x + 3| + 1)^2 + 2(3|x + 3| + 1) + 4) - 2), g(x) = (-3(1sin(2πx - 2) - 1) - 2)/(-2(1sin(2πx - 2) - 1) - 3), x = -0.6, 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(1|(-2e^(-1(-1x^2 - 2x - 2)) - 1) - 2| - 3) - 3 and g(x) = (2(-3sin(2π(1x + 4) - 3) + 3))/(3(-3sin(2π(1x + 4) - 3) + 3) - 1) 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) = -1((-2(-4(3|x + 2| + 3)^2 - 1(3|x + 2| + 3) + 2) + 3)/(2(-4(3|x + 2| + 3)^2 - 1(3|x + 2| + 3) + 2) - 3)) + 1 and g(x) = 3|(-2e^(-2((-1x - 1)/(-1x - 2))) + 1) + 2| - 3 from x = -1.3 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) = 3e^(1(-2(2x - 5)^2 - 2)) - 2 and g(x) = 2cos(1π(1x + 2) + 3) - 1 from x = 2.4 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) = 2(1sin(1π(-2|(-3x^2 + 3) - 1| - 3) + 3) + 2) + 5 and g(x) = -1((2(3|x - 1| - 2))/(-1(3|x - 1| - 2) + 3)) + 4 between the vertical lines x = 4.6 and x = 4.699999999999999. 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) = -1cos(2π(-5((3(2|x - 3|) + 3)/(-1(2|x - 3|) + 2)) - 2) + 1) - 1 and g(x) = 2(1cos(1π(-3x - 5) - 3) - 2)^2 + 1(1cos(1π(-3x - 5) - 3) - 2) - 5 between the vertical lines x = 3.9 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(-3sin(1π(-5x^2 - 5x - 3) + 1)) - 2)/(3(-3sin(1π(-5x^2 - 5x - 3) + 1)) + 3), g(x) = (-2(-3|x - 2|))/(-2(-3|x - 2|) - 1), x = 4.1, and x = 4.199999999999999. 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(-2e^(-1x) - 1) + 1)/(2(-2e^(-1x) - 1) + 2)) + 2) - 1| - 3, g(x) = (-2(-3(-3|x + 1| + 2)^2 - 1(-3|x + 1| + 2) + 5) - 1)/(-3(-3(-3|x + 1| + 2)^2 - 1(-3|x + 1| + 2) + 5) - 2), x = -1.3, and x = -0.7. 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(-5x^2 - 5x + 3) + 2) - 1)/(-2(4(-5x^2 - 5x + 3) + 2) - 1) and g(x) = -3|(1sin(1πx + 1) - 2) + 1| + 3 between the vertical lines x = -1.3 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(1(-3|x - 3| - 3) + 1) + 1)/(1(1(-3|x - 3| - 3) + 1) + 3), g(x) = -3sin(3π(1x^2 - 4x - 2) - 3) - 2, x = -2.7, and x = -2.6. 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) = 5(-2|((3(3cos(3πx - 3)) + 1)/(1(3cos(3πx - 3)) - 2)) - 2| + 3), g(x) = -1|(3sin(3π(-4x) - 2) - 1) + 1| - 1, x = 3.2, 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) = -2cos(1π((2(1x + 3) - 2)/(-1(1x + 3) + 3))) - 3 and g(x) = -2sin(3π(-3x + 5) - 3) - 2 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) = -2|(-3(1(2e^(-2x) + 1) - 3)^2 + 3(1(2e^(-2x) + 1) - 3) - 1) + 2| + 3 and g(x) = (3(3cos(1π(-1x^2 + 2x - 1) - 3) - 1) + 3)/(1(3cos(1π(-1x^2 + 2x - 1) - 3) - 1) + 2) between the vertical lines x = 3.5 and x = 3.8. 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(-2((3(1e^(-1x) + 2) + 2)/(2(1e^(-1x) + 2) - 3))^2 + 4((3(1e^(-1x) + 2) + 2)/(2(1e^(-1x) + 2) - 3)) - 5) + 5 and g(x) = 2|(-2((-2x + 1)/(-2x)) - 1)| - 2 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]
Calculate the area enclosed between the functions f(x) = 2|(5((1(-5x^2 - 1x - 4))/(-1(-5x^2 - 1x - 4) - 1)) + 1) - 1| and g(x) = (-2(-5(3cos(2πx + 1)) + 5) - 1)/(1(-5(3cos(2πx + 1)) + 5) + 3) from x = -2.0 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) = -1(3(-2|((2x - 3)/(-3x - 1)) - 1|)^2 + 2(-2|((2x - 3)/(-3x - 1)) - 1|) - 4) + 1 and g(x) = (-3(-1(-2|x + 1|)^2 - 2(-2|x + 1|) + 2) - 3)/(-2(-1(-2|x + 1|)^2 - 2(-2|x + 1|) + 2) - 1) from x = 0.2 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) = 1e^(1(2|(-2x - 4) + 3| + 2)) + 1 and g(x) = 5(-2e^(1x))^2 - 5(-2e^(1x)) - 4 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) = -3(1sin(3π((-2(-1|x - 3| - 2))/(-2(-1|x - 3| - 2) - 3)) + 2) + 2) - 1, g(x) = -5(3cos(3π(-1x) + 1) + 2)^2 + 4(3cos(3π(-1x) + 1) + 2) - 2, x = -0.7, 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(-3|(-2(-1x^2 - 1x - 1) + 4) + 1| + 1) - 3)/(2(-3|(-2(-1x^2 - 1x - 1) + 4) + 1| + 1) + 1) and g(x) = -3e^(-1(-1(2|x| - 1) + 1)) between the vertical lines x = -0.4 and 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) = -3|(5((-3x - 3)/(-1x + 2))^2 - 3((-3x - 3)/(-1x + 2)) + 5) - 3| + 3 and g(x) = -2(-3e^(2x) - 3)^2 + 3 from x = 1.8 to x = 2.1. 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) = -4(-4(-2cos(3πx - 2) + 2)^2 + 5(-2cos(3πx - 2) + 2) + 2) - 1, g(x) = (-1(1e^(2x)) + 3)/(-1(1e^(2x))), x = 0.1, 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) = -1sin(3π(3((-2x + 3)/(3x - 1))^2 - 3) - 3) + 1, g(x) = 1(3cos(3πx + 3) + 3)^2 - 3(3cos(3πx + 3) + 3) - 1, x = -2.8, and x = -2.5. 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) = -2cos(1π(-3(-3|((-2x - 1)/(-1x + 2)) - 2| - 3) - 4) + 3) + 2 and g(x) = 2sin(3π(-1|(3x - 2) + 2| - 1) + 2) + 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) = 3cos(2π(-3((-2x - 3)/(-3x))^2 - 1((-2x - 3)/(-3x)) + 1) - 3) + 3, g(x) = (-3(3|x - 3| - 2) + 1)/(-1(3|x - 3| - 2) + 2), x = -0.4, and x = -0.30000000000000004. 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(-4(-2|x - 2| + 2)^2 + 3(-2|x - 2| + 2) + 1) + 3)/(2(-4(-2|x - 2| + 2)^2 + 3(-2|x - 2| + 2) + 1) - 1)) + 1 and g(x) = -4(2((-2x - 1)/(3x + 1))^2 + 3((-2x - 1)/(3x + 1)) - 2) + 3 from x = 0.9 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) = 1cos(1π(-3(2|x + 3| - 2) - 5) + 3) - 1 and g(x) = 4((2x)/(-2x + 1)) + 5 between the vertical lines x = 1.6 and x = 1.7. 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(1((-3x + 2)/(2x - 3))^2 - 1((-3x + 2)/(2x - 3))) + 1 and g(x) = -4(-2cos(2πx - 2) + 3) - 1 between the vertical lines x = 2.5 and x = 3.2. 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(-4(2|x + 2| + 3)^2 + 2(2|x + 2| + 3) + 3) + 3)/(1(-4(2|x + 2| + 3)^2 + 2(2|x + 2| + 3) + 3) - 3) and g(x) = -3(-3e^(2x) + 1)^2 - 5(-3e^(2x) + 1) between the vertical lines x = -0.3 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) = (-2(2|(-1e^(2x) - 1) - 2| + 1) - 1)/(2(2|(-1e^(2x) - 1) - 2| + 1) + 2) and g(x) = 2(3cos(2πx) - 2)^2 - 3(3cos(2πx) - 2) - 2 from x = -3.2 to x = -2.8. 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) = -2|((2(2(3x - 4)^2 + 1(3x - 4) - 3) + 3)/(3(2(3x - 4)^2 + 1(3x - 4) - 3) - 2)) - 2| + 1, g(x) = (2(5(3sin(3πx) + 1)^2 - 1(3sin(3πx) + 1) - 5) + 3)/(1(5(3sin(3πx) + 1)^2 - 1(3sin(3πx) + 1) - 5) - 3), x = -0.7, 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) = -2|(1(5x + 3)^2 + 4(5x + 3) + 3) - 2| - 2 and g(x) = (-2(-3x^2 + 2x + 3))/(1(-3x^2 + 2x + 3)) from x = -1.4 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) = 2|((-1(-1(-2x^2 - 1x + 1) - 2) - 2)/(-1(-1(-2x^2 - 1x + 1) - 2) - 1)) + 2| - 1 and g(x) = (3(-5(3|x + 1| - 3)^2 + 4(3|x + 1| - 3)) + 1)/(-2(-5(3|x + 1| - 3)^2 + 4(3|x + 1| - 3)) - 2) between the vertical lines x = -1.9 and 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) = 1(-2((1x - 3)/(2x - 1))^2 - 4((1x - 3)/(2x - 1)) - 3) + 3, g(x) = (-2(3x + 3) + 3)/(3(3x + 3) + 3), x = -1.4, 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) = 1((1(-2x - 2) - 3)/(1(-2x - 2) - 2))^2 + 1((1(-2x - 2) - 3)/(1(-2x - 2) - 2)) - 5, g(x) = 3|((-3x + 2)/(-2x - 2)) - 1|, x = -2.1, 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) = 2sin(2π(1(2(-3|x - 1| + 1) + 5)^2 - 4(2(-3|x - 1| + 1) + 5) - 5) - 1) + 3 and g(x) = (-2(3(-2x + 2)^2 + 4(-2x + 2) + 4) - 2)/(-1(3(-2x + 2)^2 + 4(-2x + 2) + 4) - 3) from x = 4.5 to x = 4.6. 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(1((-2x - 3)/(3x)) - 4)^2 - 4(1((-2x - 3)/(3x)) - 4) - 3) + 1| - 3 and g(x) = 1(-1|(2sin(3πx - 2) - 3) - 3| + 2)^2 + 4(-1|(2sin(3πx - 2) - 3) - 3| + 2) 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) = -2((-1(2|(5x + 2) - 1| - 3) + 3)/(-1(2|(5x + 2) - 1| - 3) - 2))^2 - 1((-1(2|(5x + 2) - 1| - 3) + 3)/(-1(2|(5x + 2) - 1| - 3) - 2)) - 1 and g(x) = 2(1|(-2x^2 - 2x)| - 3) - 2 between the vertical lines x = 0.1 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) = -1|(1(-3sin(3π((3x + 1)/(-1x - 2))) + 1)^2 + 1(-3sin(3π((3x + 1)/(-1x - 2))) + 1)) - 1| - 2 and g(x) = -1(-3|((-2x - 3)/(2x - 1))| + 2) - 5 from x = -2.3 to x = -2.1999999999999997. 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(1|(4x + 5) - 1| - 2) + 2)/(3(1|(4x + 5) - 1| - 2) + 2)) - 1) - 2, g(x) = (2(1(-4x - 2)^2 + 3(-4x - 2)) + 1)/(2(1(-4x - 2)^2 + 3(-4x - 2)) - 3), x = -0.6, 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) = 1(-1|((1(2x + 1))/(-2(2x + 1) + 3)) - 3| + 2)^2 - 3(-1|((1(2x + 1))/(-2(2x + 1) + 3)) - 3| + 2) - 3 and g(x) = 1cos(2π(-4(1x^2 + 2x + 5) - 5) - 1) - 2 between the vertical lines x = -0.0 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|(-1sin(2π((-3(4x^2 + 4x - 3) + 2)/(1(4x^2 + 4x - 3)))) - 2) + 3| - 2 and g(x) = 4(3|(2x^2 + 5x - 1) - 1| - 1) - 2 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) = 2sin(3π(5((-3x)/(-3x - 3))^2) + 3) - 3 and g(x) = -2|((-1x - 2)/(-2x + 1))| - 3 from x = -2.3 to x = -2.1999999999999997. 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(2sin(1π(1|x - 3| + 1) + 2) - 3) + 4 and g(x) = 3|(5x^2 + 4x + 5) - 2| - 2 between the vertical lines x = -1.1 and x = -0.0. 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(4((-2(-2|x - 1| + 2) + 2)/(-1(-2|x - 1| + 2) - 3))^2 - 1((-2(-2|x - 1| + 2) + 2)/(-1(-2|x - 1| + 2) - 3)) - 3) - 1 and g(x) = (3(5(-2|x - 3| - 1)^2 + 4(-2|x - 3| - 1) + 1) + 3)/(-1(5(-2|x - 3| - 1)^2 + 4(-2|x - 3| - 1) + 1) - 1) between the vertical lines x = -0.2 and 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) = -1cos(2π(4(2|x + 2| + 3) + 4) + 1) and g(x) = (-1(-3|x + 3| - 1) + 3)/(-2(-3|x + 3| - 1) + 1) from x = 0.2 to 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) = -4(1sin(2π((2x - 1)/(-3x + 4)) + 3) - 1)^2 - 4(1sin(2π((2x - 1)/(-3x + 4)) + 3) - 1) - 1 and g(x) = (-2(1|x - 2| + 3) + 1)/(1(1|x - 2| + 3)) from x = 1.5 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) = 3|(3e^(1(3(1x^2 - 3x - 1) + 2)) + 3) - 3| + 1 and g(x) = 4(-2e^(-2(2x - 4)) + 1)^2 - 3(-2e^(-2(2x - 4)) + 1) + 1 from x = 2.6 to 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(-2cos(1π(5x + 2)) + 3)^2 - 2(-2cos(1π(5x + 2)) + 3) + 4 and g(x) = 1(-1|x + 1| - 3)^2 + 5(-1|x + 1| - 3) - 4 from x = 2.9 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) = (1(4(-4(3|x + 2| + 2)^2 - 3(3|x + 2| + 2) - 5) - 2) + 2)/(1(4(-4(3|x + 2| + 2)^2 - 3(3|x + 2| + 2) - 5) - 2) + 3), g(x) = 1|(-3(1x^2 - 5x - 2) - 4)| - 2, x = 0.1, and x = 4.9. 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(1e^(-1(5x - 5)) + 3)^2 - 4(1e^(-1(5x - 5)) + 3) - 5 and g(x) = -2cos(1π(5x - 3) + 2) from x = 3.4 to x = 3.5. 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((-2(2(1|x - 2| - 3)^2 + 1(1|x - 2| - 3) - 1) + 2)/(-3(2(1|x - 2| - 3)^2 + 1(1|x - 2| - 3) - 1) - 1)) + 2 and g(x) = 2sin(2π(3((2x - 1)/(1x + 2))^2 + 4((2x - 1)/(1x + 2)) - 2) + 3) + 3 between the vertical lines x = -4.0 and x = -3.9. 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((-3(-2e^(-1(2|x - 1| - 1)) - 1) - 1)/(3(-2e^(-1(2|x - 1| - 1)) - 1) + 2))^2 + 2((-3(-2e^(-1(2|x - 1| - 1)) - 1) - 1)/(3(-2e^(-1(2|x - 1| - 1)) - 1) + 2)) - 3, g(x) = 3(-2|((3x)/(3x + 1)) - 3| + 1)^2 + 2(-2|((3x)/(3x + 1)) - 3| + 1) - 5, 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) = -2(2((3(3|x + 3| - 1) - 1)/(2(3|x + 3| - 1) - 1))^2 + 1((3(3|x + 3| - 1) - 1)/(2(3|x + 3| - 1) - 1)) - 4) + 5, g(x) = 2(2|(-5x + 4) - 1| - 3)^2 - 2(2|(-5x + 4) - 1| - 3) - 4, x = 0.8, and x = 1.1. 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) = 3|((3(-3x^2 - 5x - 3) + 1)/(2(-3x^2 - 5x - 3) + 3)) - 2| - 2 and g(x) = 2|((-3x + 3)/(3x + 2)) + 1| + 1 between the vertical lines x = -1.5 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) = (-3(-2|(-1(4x^2 + 5x - 1) - 3)|) + 3)/(1(-2|(-1(4x^2 + 5x - 1) - 3)|) + 3) and g(x) = 3sin(1π(-5((-3x - 2)/(1x + 3))^2 + 4((-3x - 2)/(1x + 3)) + 3) + 1) + 3 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]
Find the area of the region bounded by the curves f(x) = -2|(1(4((-3x - 2)/(3x + 3))^2 - 2((-3x - 2)/(3x + 3)) - 5) - 5) + 1| - 3, g(x) = -4(4(-1|x - 1| + 1)^2 + 5(-1|x - 1| + 1) - 4) - 2, x = 0.8, 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(2(2|x + 2| - 1) - 2))/(-3(2(2|x + 2| - 1) - 2) + 2), g(x) = 2|(-2e^(2x) - 2) - 3| + 3, x = -3.2, and x = -0.8. 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) = 3sin(3π(-5(-3x - 3)^2 + 2(-3x - 3) + 5) + 1) - 2 and g(x) = 1((1x + 3)/(-2x + 1)) + 5 from x = 0.7 to x = 0.7999999999999999. 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(-2cos(3πx - 3) - 1) - 1)^2 - 2(4(-2cos(3πx - 3) - 1) - 1) - 3, g(x) = 3((-1x - 3)/(-2x + 3)) - 4, x = 1.6, 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) = -3sin(1π(-2((2x)/(-2x))^2 + 1((2x)/(-2x)) - 3) + 1) - 1 and g(x) = -2cos(2π(-2x - 5) - 3) - 2 between the vertical lines x = -2.7 and x = -2.3. 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 + 2) - 3)/(1(-1x + 2))) + 3| + 2, g(x) = 1e^(1(-3x - 1)) - 2, x = -0.6, 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) = (2(5(3|x - 1| - 1) + 1) + 3)/(-3(5(3|x - 1| - 1) + 1) + 4), g(x) = -1(-2x + 4)^2 + 2(-2x + 4) - 1, x = 0.6, and x = 2.0. 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) = -3|(1e^(-1(-1x + 4))) + 3| - 2 and g(x) = 5(-2x^2 - 4x) between the vertical lines x = -2.4 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) = 2|((-3(4(-2sin(1πx - 2) - 2) - 4) - 3)/(2(4(-2sin(1πx - 2) - 2) - 4) + 3)) - 1| - 2, g(x) = 5((3(3x - 3) - 1)/(-1(3x - 3) - 3))^2 + 2((3(3x - 3) - 1)/(-1(3x - 3) - 3)) - 3, x = 0.8, 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((1(1e^(1(1|x - 1| + 2)) - 2))/(-1(1e^(1(1|x - 1| + 2)) - 2) - 1)) - 4, g(x) = (1(4(-3x^2 + 1x - 3) + 5) + 2)/(-2(4(-3x^2 + 1x - 3) + 5)), x = 0.6, 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) = 1e^(-2(2|(-5x - 2) - 3| + 3)) + 1 and g(x) = -3sin(2π(4x^2 + 3x + 4) - 1) - 1 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) = (2(-3(1|x| - 2)^2 + 3) + 2)/(1(-3(1|x| - 2)^2 + 3) + 3) and g(x) = -1(-2e^(1x) + 3)^2 - 4(-2e^(1x) + 3) from x = -3.4 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) = (-2(-4(-3|x| - 1)^2 - 4(-3|x| - 1) - 2) + 3)/(1(-4(-3|x| - 1)^2 - 4(-3|x| - 1) - 2) - 3) and g(x) = (-3(-1|x - 3| - 1) + 3)/(1(-1|x - 3| - 1) - 3) from x = 1.2 to 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) = 1|(2cos(2π(5x^2 - 5x + 3) - 1) + 1)| - 2 and g(x) = -2(-2sin(1πx) - 3)^2 - 5(-2sin(1πx) - 3) + 4 between the vertical lines x = 1.0 and x = 2.0. 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(3|((1x - 3)/(-3x + 2)) - 3| - 3)^2 - 4(3|((1x - 3)/(-3x + 2)) - 3| - 3) + 2, g(x) = -4(-1x + 3)^2 - 2(-1x + 3) + 4, x = 0.8, and x = 1.1. 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(-3cos(2πx + 2) + 1) - 1)/(2(-3cos(2πx + 2) + 1) + 3)) - 3 and g(x) = 3|((-2x - 3)/(1x - 2)) + 2| - 1 from x = 1.6 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) = (-1(-5(2|x + 1| + 1) + 5) + 1)/(3(-5(2|x + 1| + 1) + 5)) and g(x) = -3((-1x + 1)/(2x - 1)) - 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) = 1(-5(-2e^(-2x) + 2) - 2)^2 - 2(-5(-2e^(-2x) + 2) - 2) - 5, g(x) = 4(-1cos(3πx - 1) + 3) - 5, 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) = (1(-1cos(1π(2|(-5x^2 + 5) + 1| + 1)) + 2) - 1)/(1(-1cos(1π(2|(-5x^2 + 5) + 1| + 1)) + 2)) and g(x) = (3(4(2|x + 2| - 3)))/(2(4(2|x + 2| - 3)) + 2) from x = -3.5 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) = 5(-1|(-4x^2 - 1) + 3| + 2) - 2 and g(x) = -4(1|x + 1| - 2)^2 - 4(1|x + 1| - 2) between the vertical lines x = -0.2 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(3|(1e^(-2x) - 2) - 3| + 2)^2 - 3(3|(1e^(-2x) - 2) - 3| + 2) - 2, g(x) = 2|((1x + 3)/(2x + 2)) - 2| - 1, x = -1.0, and x = -0.8. 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) = (-2(3(1|(-2sin(1πx)) - 2| + 2)^2 + 4(1|(-2sin(1πx)) - 2| + 2)) + 3)/(-3(3(1|(-2sin(1πx)) - 2| + 2)^2 + 4(1|(-2sin(1πx)) - 2| + 2))) and g(x) = 2sin(3π(1|(1x^2 + 3x) + 1| + 2) - 3) + 1 from x = 3.7 to x = 3.8000000000000003. 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(-2|x + 2| + 3) + 2)/(1(-2|x + 2| + 3) + 2))^2 - 3((-1(-2|x + 2| + 3) + 2)/(1(-2|x + 2| + 3) + 2)) + 1, g(x) = -2cos(3π((3x + 2)/(-1x - 3)) - 2) + 3, x = -2.3, and x = -2.1999999999999997. 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(-5x^2 - 4x - 2) + 5) + 2| - 3 and g(x) = 1(1|x - 2| - 1)^2 - 5(1|x - 2| - 1) + 1 from x = -1.6 to 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((1(-2x + 5) + 2)/(-1(-2x + 5) - 3))^2 + 5((1(-2x + 5) + 2)/(-1(-2x + 5) - 3)) + 2 and g(x) = -2e^(-1(5x^2 + 5x - 4)) + 1 from x = 0.4 to 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|(-3(3x + 4)^2 - 4(3x + 4) + 2) - 1| - 2) - 2)/(-2(2|(-3(3x + 4)^2 - 4(3x + 4) + 2) - 1| - 2) + 3) and g(x) = 1|(-4((1x + 3)/(3x + 2)) + 3) - 2| from x = -2.0 to 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) = -5(2|((-1x - 1)/(-2x - 3)) + 1| - 2) + 1, g(x) = (-2(1|x + 1| + 2) + 3)/(3(1|x + 1| + 2) + 2), x = -1.4, 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) = 2|(5(2x^2 + 4x) - 1) + 1| + 1 and g(x) = (-2(-3x^2 - 4x - 1) + 2)/(-1(-3x^2 - 4x - 1) + 2) between the vertical lines x = -2.0 and 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) = -1|((-2(-1x^2 - 4) + 2)/(-1(-1x^2 - 4) - 3)) + 1| + 2, g(x) = 1cos(2π(3x - 4)) - 1, x = 4.2, and x = 4.4. 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) = 4((3(5x^2 - 3x + 3) + 3)/(1(5x^2 - 3x + 3) + 3)) + 4 and g(x) = (-1(-4x^2 + 1x + 1) - 3)/(-1(-4x^2 + 1x + 1) - 1) from x = -0.6 to 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) = -1e^(-1((-1(2x^2 - 4x - 4) + 1)/(3(2x^2 - 4x - 4) - 2))) + 1, g(x) = -3(-3e^(-2x) + 3)^2 - 5(-3e^(-2x) + 3) - 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]
Calculate the area enclosed between the functions f(x) = 2(3e^(1(-2x^2 - 5x - 2)) + 1) - 1 and g(x) = 4(-1sin(1πx + 3)) - 2 from x = 0.8 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(-1sin(2π(3|((-2x - 3)/(-1x)) + 2| + 2) - 3) + 2)^2 + 2(-1sin(2π(3|((-2x - 3)/(-1x)) + 2| + 2) - 3) + 2) - 2 and g(x) = (-3(2|(-4x + 3) - 2| - 1) + 1)/(-2(2|(-4x + 3) - 2| - 1) - 1) from x = -0.3 to x = -0.19999999999999998. 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(3((-1x)/(-1x + 2))^2 + 4((-1x)/(-1x + 2)) + 3) + 3) + 3| and g(x) = (2(-3|(2x^2 - 5x + 3)| - 3) - 3)/(3(-3|(2x^2 - 5x + 3)| - 3) + 3) from x = 0.3 to 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) = -3cos(3π((-2(1|(1x^2 + 2x + 5) - 3| - 2) - 1)/(-2(1|(1x^2 + 2x + 5) - 3| - 2) + 1)) - 2) + 3, g(x) = (1(-3|(-2x^2 + 1x + 2)| + 3) - 1)/(3(-3|(-2x^2 + 1x + 2)| + 3) + 3), x = -2.5, 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|(2cos(2π((-1x + 3)/(-3x + 1))) - 3) - 1| - 2, g(x) = 2|(3e^(-2x) - 2) - 1| + 1, 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) = -2e^(-1(-1|((-1x + 1)/(2x - 3))| + 3)) - 3 and g(x) = -2(-3sin(3πx + 1) - 1)^2 + 3(-3sin(3πx + 1) - 1) + 4 from x = -3.8 to 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) = (3(2(-1e^(1x) - 1) + 3) - 2)/(-2(2(-1e^(1x) - 1) + 3) + 1) and g(x) = -3e^(-1(-2|x - 2| + 3)) - 1 from x = -1.4 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) = -1e^(-1((2(2(1x^2 + 4x + 3) - 2) + 3)/(2(2(1x^2 + 4x + 3) - 2) + 3))) - 1 and g(x) = (2(-1(-2|x - 1| + 2) + 4) + 3)/(-2(-1(-2|x - 1| + 2) + 4) + 3) between the vertical lines x = -2.8 and x = 4.8. 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) = 1e^(-2(-1(2|(-1x^2 - 3x - 5) + 2| - 2) + 5)) + 3 and g(x) = 1((2(1cos(2πx + 3) + 1) - 3)/(1(1cos(2πx + 3) + 1) - 2)) + 2 between the vertical lines x = -1.2 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|(-3e^(1(4((-2x - 3)/(-3x + 4))^2 - 1((-2x - 3)/(-3x + 4)))) - 3) - 1| + 2 and g(x) = 5(2sin(3π(-1|x|) - 3) - 2)^2 - 2(2sin(3π(-1|x|) - 3) - 2) + 5 from x = -2.3 to x = -2.0. 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(2π(4((-2x)/(3x + 3)) - 3) - 1) - 2, g(x) = -3|(3sin(3πx) + 3) - 2|, x = 4.7, and x = 5.0. 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|(-5x + 1) + 2| + 1) - 1), g(x) = -4((1x - 3)/(-3x - 2))^2 + 2((1x - 3)/(-3x - 2)) + 5, x = -3.1, and x = -3.0. 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(1(-2sin(1πx - 1) - 1)^2 - 3(-2sin(1πx - 1) - 1) - 3) + 3)/(2(1(-2sin(1πx - 1) - 1)^2 - 3(-2sin(1πx - 1) - 1) - 3) - 1) and g(x) = -2|((-1x - 1)/(1x + 2)) - 2| - 2 between the vertical lines x = 1.3 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) = 3cos(2π(1(-4x - 4)^2 - 4(-4x - 4) - 2) - 2) - 2 and g(x) = -1(2x - 5)^2 + 3(2x - 5) - 1 between the vertical lines x = 2.9 and x = 3.0. 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(2|(-2sin(3πx - 1) - 3) + 1| + 2) + 1)/(3(2|(-2sin(3πx - 1) - 3) + 1| + 2) - 2), g(x) = -1((3x + 2)/(-1x)) - 1, x = -4.1, and x = -4.0. 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(-1((-2x - 3)/(-3x - 1))^2 + 2((-2x - 3)/(-3x - 1)) + 4) + 5) - 3| - 1 and g(x) = 4(2cos(2π(1x + 3) + 2) + 3)^2 - 4(2cos(2π(1x + 3) + 2) + 3) - 4 between the vertical lines x = 2.4 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) = 3cos(3π(-1(1x + 2)^2 + 2(1x + 2) + 3) + 3) + 1, g(x) = (1(-2e^(1x) - 3) + 2)/(-2(-2e^(1x) - 3)), x = -4.7, and x = -4.6000000000000005. 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(2π(4(-3(3|x - 2| - 1)^2 - 2(3|x - 2| - 1) - 3) - 1)) and g(x) = 2|(5(-1cos(3πx - 1) - 1)) + 2| - 1 between the vertical lines x = -3 and x = 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(-1cos(2π(2x^2 - 5x + 1)) - 3) + 2)/(-2(-1cos(2π(2x^2 - 5x + 1)) - 3) - 2), g(x) = 5(3e^(-1x)) + 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]
Find the area of the region bounded by the curves f(x) = 1(-1(-3sin(1π((-1x + 1)/(-1x - 1)) + 1) + 1) - 3)^2 - 2(-1(-3sin(1π((-1x + 1)/(-1x - 1)) + 1) + 1) - 3), g(x) = (3(2|(-3x - 2) + 3| - 3) + 3)/(-2(2|(-3x - 2) + 3| - 3) + 1), x = -0.2, and x = 0.9. 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(1e^(1((-2x)/(-2x + 1))) + 1) - 5 and g(x) = (-2(2cos(2πx + 2)) - 3)/(-1(2cos(2πx + 2)) - 1) between the vertical lines x = -4.7 and x = -4.0. 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(3cos(1π((2x - 2)/(2x)) - 1) - 2) and g(x) = (1(-5x^2 - 1) + 2)/(1(-5x^2 - 1) - 2) between the vertical lines x = 0.2 and x = 0.30000000000000004. 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(2cos(1π(-2|x + 3|) - 3) - 1)^2 + 4(2cos(1π(-2|x + 3|) - 3) - 1) - 4, g(x) = 2|(2x^2 - 1x + 5)| - 1, x = -0.0, 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) = (-1(-2(2x^2 + 2x - 2) - 1) + 3)/(3(-2(2x^2 + 2x - 2) - 1) + 2), g(x) = 1(5x - 5)^2 + 5(5x - 5) + 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]
Calculate the area enclosed between the functions f(x) = (3(2|(3x - 3) - 2| - 3))/(-1(2|(3x - 3) - 2| - 3) - 2) and g(x) = -2sin(1π((-1x - 2)/(1x + 1)) + 2) from x = 1.3 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(1(-3(-3|x + 3|) - 5)^2 + 5(-3(-3|x + 3|) - 5) - 4) + 2)/(2(1(-3(-3|x + 3|) - 5)^2 + 5(-3(-3|x + 3|) - 5) - 4) + 2) and g(x) = (1(-2|(3x - 1) - 3|) + 2)/(2(-2|(3x - 1) - 3|) - 1) from x = -3.6 to x = -2.4. 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|(1(2((2x + 1)/(1x - 3))^2 - 4((2x + 1)/(1x - 3)) + 2) - 1) - 3| - 2 and g(x) = 2|(1e^(2(3x - 2))) - 3| + 1 between the vertical lines x = 0.8 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|(2e^(2(-4(1x^2 - 5x + 1) + 5)) - 3) - 3| + 3, g(x) = 3((-3(1x + 1))/(-1(1x + 1) + 2))^2 + 2((-3(1x + 1))/(-1(1x + 1) + 2)), 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) = -3cos(2π((-2(1|x + 3| + 1) - 3)/(-2(1|x + 3| + 1) + 3)) - 3) - 3 and g(x) = -1|(-1e^(-1x) + 2) - 2| - 3 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]
Find the area of the region bounded by the curves f(x) = (2(-1(1(3|x - 3| + 1) + 1)^2 + 4(1(3|x - 3| + 1) + 1) + 5) - 2)/(1(-1(1(3|x - 3| + 1) + 1)^2 + 4(1(3|x - 3| + 1) + 1) + 5)), g(x) = (-1(4(3cos(1πx + 1) - 1)^2 - 2))/(-3(4(3cos(1πx + 1) - 1)^2 - 2) + 4), x = -2.8, and x = -2.6. 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) = (2(-1|(-5(4x^2 - 4x + 5) - 2) - 1| + 3) + 3)/(1(-1|(-5(4x^2 - 4x + 5) - 2) - 1| + 3) + 3), g(x) = 2|((-1(5x^2 - 4x - 3) - 3)/(-2(5x^2 - 4x - 3) + 3)) + 2| - 3, x = -0.6, and x = 1.4. 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(1(1|x - 3| + 2)^2 + 5(1|x - 3| + 2) + 5) + 1)/(3(1(1|x - 3| + 2)^2 + 5(1|x - 3| + 2) + 5) + 3) and g(x) = (1(-3|x - 2| + 2) + 3)/(3(-3|x - 2| + 2)) between the vertical lines x = 1.8 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) = 2e^(-1(-1|(-4x^2 + 1x - 1) + 2| + 2)) - 2, g(x) = -3e^(2(-5x^2 - 1x - 1)) + 2, x = -0.8, 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) = (-1(-5(3|(-3x - 5) - 1| + 1)^2 + 4(3|(-3x - 5) - 1| + 1) - 4) - 1)/(2(-5(3|(-3x - 5) - 1| + 1)^2 + 4(3|(-3x - 5) - 1| + 1) - 4) + 2), g(x) = 1sin(2π(-2((-3x - 2)/(1x + 1)) + 4) + 1) - 1, 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) = 1cos(3π((1(5(-3x^2 - 1x + 1) + 2) + 3)/(-2(5(-3x^2 - 1x + 1) + 2) - 2)) + 3) - 2, g(x) = 1(1|(3x - 4) + 3| - 1)^2 - 2(1|(3x - 4) + 3| - 1) - 1, x = 0.7, 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) = -5(-3|(3sin(1πx - 1) - 1) + 3| + 1) - 1 and g(x) = 2e^(-1(1x + 5)) - 2 between the vertical lines x = -4.0 and x = -3.9. 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(2|(-3x^2 - 4x + 4) - 2|) + 3)/(3(2|(-3x^2 - 4x + 4) - 2|) - 1)) + 4, g(x) = -4(4((3x + 1)/(-2x + 1))^2 - 1((3x + 1)/(-2x + 1)) + 2) + 1, x = -1.7, and x = -1.5999999999999999. 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) = -2sin(1π((-2(-2|x + 1| + 3) - 1)/(-3(-2|x + 1| + 3))) - 1) + 1, g(x) = 1|(-4x + 2) + 3| - 1, x = 0.5, and x = 0.6. 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|(-3e^(-2(-5x - 1)) + 1) + 2| - 2 and g(x) = (-1(-2|x + 2| + 2) + 3)/(1(-2|x + 2| + 2)) from x = -0.2 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) = (1(-5(3(2cos(1πx + 3) - 3)^2 + 2(2cos(1πx + 3) - 3) + 1) - 2) - 3)/(-1(-5(3(2cos(1πx + 3) - 3)^2 + 2(2cos(1πx + 3) - 3) + 1) - 2) - 2), g(x) = 2cos(1π(2|(3x^2 + 5x + 1) - 1| + 2)) - 2, x = 4.0, 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) = -2(-2cos(3π(2(-2|x + 3| + 2) - 2) + 2) - 1)^2 - 4(-2cos(3π(2(-2|x + 3| + 2) - 2) + 2) - 1) - 2 and g(x) = (2(1(-1|x| + 2) - 1) - 1)/(-3(1(-1|x| + 2) - 1) + 4) from x = -2.6 to 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) = -2(-2cos(2π(1|x + 3| + 3) + 2) - 3) - 5, g(x) = 2|(3x^2 - 4x - 5) + 2| + 1, x = -0.6, 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) = -2(-1(3cos(2π((1x + 2)/(-3x - 2)) + 1) + 3) + 1)^2 - 1 and g(x) = -5((-2(-2|x + 3| + 2) + 2)/(-2(-2|x + 3| + 2) + 1))^2 - 4((-2(-2|x + 3| + 2) + 2)/(-2(-2|x + 3| + 2) + 1)) + 2 from x = -0.7 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) = (-2(-2(-4(-1|x + 2| - 2) - 1)^2 + 4(-4(-1|x + 2| - 2) - 1) - 2))/(3(-2(-4(-1|x + 2| - 2) - 1)^2 + 4(-4(-1|x + 2| - 2) - 1) - 2) - 1), g(x) = -2(2((3x + 1)/(-2x - 2))^2 - 4((3x + 1)/(-2x - 2)) + 3) + 3, x = -0.7, 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) = 2|(2e^(-1(-1x + 4)) - 3) - 1| + 3, g(x) = 3|(2x + 5)| - 1, x = -4.5, 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|(3sin(2π(5(-5x^2 - 2x - 4) - 2)) - 2) - 1| + 2 and g(x) = (1(-3|(-1sin(2πx - 3) + 3) - 1| + 1) - 2)/(-1(-3|(-1sin(2πx - 3) + 3) - 1| + 1) - 3) between the vertical lines x = 2.8 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) = 1(-2cos(3π(-1|x - 1|) + 3) - 2) + 1 and g(x) = 2sin(2π(-2x^2 + 5x + 4) + 2) + 2 between the vertical lines x = -5.0 and 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) = 2(1(1|((2x + 3)/(-1x + 3))|)^2 + 1) - 3, g(x) = -2|(4((-3x - 3)/(-1x + 2))^2 + 1((-3x - 3)/(-1x + 2)) - 5) + 1|, x = -2.4, and x = -2.1. 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) = 5(-2|(2x - 4) + 1| + 2)^2 - 5(-2|(2x - 4) + 1| + 2) and g(x) = 2cos(1π((-1x - 1)/(-2x - 1)) - 3) + 3 between the vertical lines x = 0.9 and 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) = (-2(2cos(1π(1x^2 - 3x + 5) - 1) - 3) - 2)/(-3(2cos(1π(1x^2 - 3x + 5) - 1) - 3) - 3) and g(x) = 4(2x + 4)^2 + 5(2x + 4) + 2 between the vertical lines x = -2.4 and 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) = 5(5((-1x + 1)/(1x + 1))^2 + 2((-1x + 1)/(1x + 1)) + 3) and g(x) = 3(1|x| + 2)^2 + 4(1|x| + 2) - 5 from x = -3.1 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) = -2|((2(-1x^2 - 1x - 4) - 1)/(-2(-1x^2 - 1x - 4) - 2)) - 3| + 1 and g(x) = -3(-2sin(3πx - 2) + 2)^2 + 5 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]
Determine the area of the region enclosed by the graphs of f(x) = 2((3(1(3|x - 1| + 1)^2 + 5(3|x - 1| + 1) - 5) + 1)/(2(1(3|x - 1| + 1)^2 + 5(3|x - 1| + 1) - 5) + 1)) - 1 and g(x) = (3(-3sin(3π(1x + 4) + 1) + 1) + 1)/(-2(-3sin(3π(1x + 4) + 1) + 1) - 3) between the vertical lines x = -0.0 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) = -4((1(-3|(2x^2 + 3x + 2) - 3| + 2) + 1)/(-3(-3|(2x^2 + 3x + 2) - 3| + 2))) - 4 and g(x) = (-1(1|(4x^2 + 3x + 4) - 3| + 1) + 1)/(1(1|(4x^2 + 3x + 4) - 3| + 1)) between the vertical lines x = 0.2 and 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) = (-1(-5(3|x + 2| + 3) + 2) + 1)/(-1(-5(3|x + 2| + 3) + 2) + 3) and g(x) = -1|(-4x + 1) - 3| + 3 between the vertical lines x = -1.0 and x = 0.0. Round to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = (-1(-2|(-1x^2 + 3x + 2) + 3| + 1))/(3(-2|(-1x^2 + 3x + 2) + 3| + 1) - 1) and g(x) = -1(-4x^2 + 4x) from x = -1.1 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) = 1(-1((-3(-2|x| - 1) + 3)/(-2(-2|x| - 1) - 2))^2 + 3((-3(-2|x| - 1) + 3)/(-2(-2|x| - 1) - 2)) - 2) + 5, g(x) = -1(-2|(-4x + 5) + 3| + 3)^2 - 5(-2|(-4x + 5) + 3| + 3) - 2, x = 1.2, 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) = (3(-1(1|(4x^2 + 4) - 3| + 1) + 3) - 3)/(-3(-1(1|(4x^2 + 4) - 3| + 1) + 3) + 4), g(x) = (3(-3cos(1π(2|x|) - 1) + 1) + 1)/(3(-3cos(1π(2|x|) - 1) + 1) - 1), x = 4.4, and x = 5.0. 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) = -4((-3(1x + 1) - 3)/(3(1x + 1) + 1))^2 - 3((-3(1x + 1) - 3)/(3(1x + 1) + 1)) + 5 and g(x) = 1((2x - 2)/(-1x + 2))^2 - 4((2x - 2)/(-1x + 2)) + 4 between the vertical lines x = 1.2 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) = 2|((3(-4(1x + 1)^2 + 1(1x + 1) + 2) + 2)/(1(-4(1x + 1)^2 + 1(1x + 1) + 2))) + 2| + 1, g(x) = -2((3(3sin(1πx + 1)) - 3)/(3(3sin(1πx + 1)))) - 4, x = -0.3, and x = 0.7. 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(-1|(-3e^(2x) - 2)| - 2) + 1)/(-2(-1|(-3e^(2x) - 2)| - 2) + 3) and g(x) = (-3(-3|x - 2|) + 1)/(2(-3|x - 2|) - 3) between the vertical lines x = 1.9 and x = 2.1. Round to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = (3(-2(-2cos(3πx - 2))^2 + 1(-2cos(3πx - 2))) + 2)/(-1(-2(-2cos(3πx - 2))^2 + 1(-2cos(3πx - 2))) - 3) and g(x) = 1(2x + 3)^2 + 1(2x + 3) from x = 0.3 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(4(2sin(1π(-4x - 4) + 1) + 1)^2 - 4(2sin(1π(-4x - 4) + 1) + 1) - 1) + 1)/(2(4(2sin(1π(-4x - 4) + 1) + 1)^2 - 4(2sin(1π(-4x - 4) + 1) + 1) - 1) + 2), g(x) = -4((-3(2cos(1πx + 1) - 1) - 1)/(3(2cos(1πx + 1) - 1))) + 3, 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) = (-3(2cos(2π(4x - 5) - 3) + 2) + 2)/(1(2cos(2π(4x - 5) - 3) + 2) + 2) and g(x) = (1(-1x + 2) - 3)/(3(-1x + 2) + 1) between the vertical lines x = -0.8 and 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) = 3(1cos(2π(1x + 2) - 3) + 3)^2 + 1(1cos(2π(1x + 2) - 3) + 3) + 1, g(x) = 5(4x + 5)^2 - 2(4x + 5) - 5, x = -1.8, 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) = -1cos(1π(-2(1|x + 2| - 3)^2 - 1(1|x + 2| - 3)) - 3) and g(x) = -3|((2x - 2)/(3x + 3)) - 3| + 3 from x = -2.2 to x = -2.1. 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|(4((-2(-2x^2 - 1x - 4) - 1)/(3(-2x^2 - 1x - 4) - 2)) - 3) - 1| - 3, g(x) = (1(-2cos(1π(5x^2 + 1x - 5) - 3) - 2) - 3)/(1(-2cos(1π(5x^2 + 1x - 5) - 3) - 2) + 1), x = -1.9, 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(-1|(-3(3cos(2πx - 3) - 1) - 4) + 3| + 1))/(2(-1|(-3(3cos(2πx - 3) - 1) - 4) + 3| + 1) + 1) and g(x) = 1cos(3π(2(1|x + 3| - 1) + 4) - 1) + 1 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]
Calculate the area enclosed between the functions f(x) = -4((2(-1(1|x + 1| - 2)^2 + 3(1|x + 1| - 2) + 4) + 2)/(1(-1(1|x + 1| - 2)^2 + 3(1|x + 1| - 2) + 4) + 3)) + 3 and g(x) = -1sin(1π((-1(4x^2 + 4x + 1) + 2)/(-1(4x^2 + 4x + 1))) + 3) - 3 from x = 0.5 to x = 3.9. 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(4(-1sin(3πx - 1) + 2)^2 + 5(-1sin(3πx - 1) + 2) - 5) - 1)/(2(4(-1sin(3πx - 1) + 2)^2 + 5(-1sin(3πx - 1) + 2) - 5) + 1) and g(x) = (-3(-1sin(1πx - 3)) - 1)/(2(-1sin(1πx - 3)) - 1) between the vertical lines x = 1.9 and x = 3.0. 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(2(2cos(2πx + 3) + 1)^2 - 2(2cos(2πx + 3) + 1) - 5) + 1, g(x) = -2cos(3π(2x^2 - 3x + 4) + 3) + 1, x = -3.0, and x = -2.9. 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) = -4(3((1x - 1)/(2x + 2)) - 1)^2 + 3(3((1x - 1)/(2x + 2)) - 1) and g(x) = -1|(-2x^2) - 3| - 2 from x = -2.5 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) = (-1(4(3sin(3π(4x^2 - 1x - 4) + 1) + 1) + 5) - 3)/(-3(4(3sin(3π(4x^2 - 1x - 4) + 1) + 1) + 5) + 4) and g(x) = -3|((1(-5x))/(3(-5x) + 1)) - 3| from x = 3.0 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((3(1|(-3cos(1πx + 1) - 3) + 2| + 2))/(2(1|(-3cos(1πx + 1) - 3) + 2| + 2) + 3)) - 4 and g(x) = 1(3e^(1(2x^2 - 4x - 3)) - 3) - 1 from x = -0.7 to x = 2.7. 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) = 1((-1(-2|x + 2| + 3) + 1)/(1(-2|x + 2| + 3) - 2)) + 3, g(x) = 1cos(2π(4x^2 - 5x + 5) - 1) + 2, x = 4.2, 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) = -1cos(2π((-3(3(1|x|) + 5) + 3)/(-2(3(1|x|) + 5) - 2)) + 1) + 1 and g(x) = 5(-2(1cos(3πx - 3) - 2) - 4)^2 + 4(-2(1cos(3πx - 3) - 2) - 4) + 2 between the vertical lines x = -1.5 and 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|(-1cos(1π(2(3x^2 - 3x - 3) - 1) + 1) - 1) + 2| + 3 and g(x) = 1|(-4(3cos(3πx + 1) - 1) + 2) - 1| + 2 between the vertical lines x = -2.3 and 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((-3(-2|x - 3| + 3) + 1)/(1(-2|x - 3| + 3) + 1))^2 - 5((-3(-2|x - 3| + 3) + 1)/(1(-2|x - 3| + 3) + 1)) - 4 and g(x) = (3(-3x - 5) - 2)/(-1(-3x - 5) - 1) between the vertical lines x = 4.0 and x = 4.3. 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) = (-3(-1(-2(-1|x - 3| + 3) - 3)^2 + 4(-2(-1|x - 3| + 3) - 3) - 1))/(-3(-1(-2(-1|x - 3| + 3) - 3)^2 + 4(-2(-1|x - 3| + 3) - 3) - 1) - 2) and g(x) = -1sin(3π((3(-5x - 1))/(-3(-5x - 1) - 1)) - 1) between the vertical lines x = -3.4 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) = -4(2sin(1π(-2|(-4x^2 - 2x - 5)| - 3) - 2) - 1) - 1 and g(x) = (-3(5(3|x - 1| + 2)^2 + 1(3|x - 1| + 2)))/(-2(5(3|x - 1| + 2)^2 + 1(3|x - 1| + 2)) - 2) between the vertical lines x = 1.4 and 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) = (1(1(-3|(1x^2 + 5x) - 3| + 3)) - 1)/(-1(1(-3|(1x^2 + 5x) - 3| + 3)) - 3) and g(x) = -2(-1((2x + 3)/(-2x - 1))^2 - 1) + 4 from x = 0.2 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) = 2(2e^(-2(1|x + 3| - 3)) + 3) + 1 and g(x) = (-3(-3x^2 + 3x + 1) + 3)/(1(-3x^2 + 3x + 1) - 2) 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) = -5((3(2|(5x - 3) + 2| - 3) - 1)/(1(2|(5x - 3) + 2| - 3) - 3))^2 - 2((3(2|(5x - 3) + 2| - 3) - 1)/(1(2|(5x - 3) + 2| - 3) - 3)) - 4 and g(x) = 5(2|(1sin(3πx + 1)) + 1| - 3) between the vertical lines x = -0.1 and 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) = 1(-1|((-1(-2x - 5) - 3)/(-1(-2x - 5) + 3)) + 1| - 1)^2 - 1(-1|((-1(-2x - 5) - 3)/(-1(-2x - 5) + 3)) + 1| - 1) - 4 and g(x) = 2e^(1(4(1|x + 1| - 2) - 1)) + 1 between the vertical lines x = -3.0 and 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) = -3e^(-1(3|(-1x^2 + 5x - 4) + 1| - 1)) + 3, g(x) = 1|(3sin(3πx + 1) + 3) - 3| + 1, x = 3.0, 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) = -3(-2((-1(-2|x - 1| + 1) - 3)/(2(-2|x - 1| + 1) + 3))^2 - 5((-1(-2|x - 1| + 1) - 3)/(2(-2|x - 1| + 1) + 3)) + 3) + 3 and g(x) = -3(2cos(1π(-1x + 5) - 1) + 2)^2 - 2(2cos(1π(-1x + 5) - 1) + 2) + 4 between the vertical lines x = 3.2 and 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) = 5((-2(-3|(-5x^2 - 2x + 3) - 1| - 2))/(-3(-3|(-5x^2 - 2x + 3) - 1| - 2) + 1)) + 4 and g(x) = -1(1sin(3π(-3x^2 + 2x - 4)) - 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]
Determine the area of the region enclosed by the graphs of f(x) = -2cos(2π(4(3x^2 + 2) - 3) + 2) - 1 and g(x) = -2cos(2π(-1x + 4) + 1) + 2 between the vertical lines x = 2.1 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(-3|(-3cos(3πx + 3) + 3) + 1| + 3))/(1(-3|(-3cos(3πx + 3) + 3) + 1| + 3) + 2), g(x) = (-1(1sin(1πx) + 1) + 2)/(1(1sin(1πx) + 1)), x = 1.6, 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) = -5(-2((-1(-1cos(2πx - 1) - 3) - 3)/(1(-1cos(2πx - 1) - 3) + 2))^2 - 3((-1(-1cos(2πx - 1) - 3) - 3)/(1(-1cos(2πx - 1) - 3) + 2)) + 4) - 4 and g(x) = -3((2(-3|x + 3| - 2) - 1)/(2(-3|x + 3| - 2) - 1)) + 5 between the vertical lines x = 0.8 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) = 5(2|((3(3x - 5) + 2)/(-1(3x - 5) + 3)) + 2| - 1)^2 - 5(2|((3(3x - 5) + 2)/(-1(3x - 5) + 3)) + 2| - 1) - 1 and g(x) = 1(1(1|x - 2| - 1)^2 - 1) between the vertical lines x = -1.5 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) = (-3(-3(1|x + 2|)^2 - 4(1|x + 2|) + 3) - 2)/(-1(-3(1|x + 2|)^2 - 4(1|x + 2|) + 3) + 3) and g(x) = -5(-3cos(2πx - 2) + 3)^2 + 1(-3cos(2πx - 2) + 3) + 1 from x = -2.0 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) = (-1(3|(3sin(3πx) + 1) - 1| - 1) + 2)/(-3(3|(3sin(3πx) + 1) - 1| - 1) - 2) and g(x) = (-3(2cos(1πx - 1) + 2) - 3)/(1(2cos(1πx - 1) + 2) - 3) between the vertical lines x = 0.3 and x = 1.7. Round to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = (1(3(-1|x - 1| + 2)^2 - 1(-1|x - 1| + 2) + 3) - 3)/(-2(3(-1|x - 1| + 2)^2 - 1(-1|x - 1| + 2) + 3) - 3) and g(x) = -3cos(1π(2|x + 3| + 1)) + 1 from x = 2.7 to 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) = 2|(2cos(3π(5x^2 - 3x + 5) - 3) + 1)| - 3 and g(x) = -1(-2x^2 + 5x - 5) + 1 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]
Find the area of the region bounded by the curves f(x) = -1((-3(-1(-1|x| + 3)^2 - 2(-1|x| + 3) + 4) - 1)/(-1(-1(-1|x| + 3)^2 - 2(-1|x| + 3) + 4) + 3)), g(x) = 1sin(1π(1|(1x^2 - 1x - 1) + 3| - 1) - 3) + 1, x = -1.8, 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) = -1((-1(2sin(1π(-2x - 4) + 1) + 1) - 3)/(1(2sin(1π(-2x - 4) + 1) + 1)))^2 - 3((-1(2sin(1π(-2x - 4) + 1) + 1) - 3)/(1(2sin(1π(-2x - 4) + 1) + 1))) + 3, g(x) = 5(-2|(2x - 4) - 2| - 1)^2 + 3(-2|(2x - 4) - 2| - 1) - 5, x = 2.8, and x = 3.1. 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(2|((1x - 2)/(-1x + 3)) + 1| - 2) + 2, g(x) = 2(-2sin(3πx + 3) - 1)^2 + 5(-2sin(3πx + 3) - 1) - 5, x = 1.5, and x = 1.6. 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|(-4(1e^(-2(-1x^2 - 5x - 3)) - 3) + 3) + 2| and g(x) = -1e^(2(-1|(-4x^2 - 1x - 4) + 3| + 2)) - 3 from x = -4.5 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|(-3sin(1π(-4x^2 + 1x + 1) - 2) - 3) + 1| - 3 and g(x) = -3((-2x)/(-3x - 3)) - 2 from x = 1.6 to x = 1.7000000000000002. 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(2|(1sin(3πx + 1) - 1)| - 1) + 3, g(x) = -1e^(1((2x - 3)/(2x - 3))) + 2, x = -2.1, and x = -1.8. 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(-1cos(2π(2|x + 3| + 3) - 2) + 1)^2 + 3(-1cos(2π(2|x + 3| + 3) - 2) + 1) + 4, g(x) = 3|(3x + 2) - 1| - 3, x = 1.0, 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) = 3cos(3π(1(3|x + 3| + 3) - 4)) + 3 and g(x) = (3(1x + 2) - 3)/(1(1x + 2) - 3) from x = 3.4 to 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) = 1((2(-1(2|x + 2| - 2)^2 - 5(2|x + 2| - 2) - 2) + 3)/(3(-1(2|x + 2| - 2)^2 - 5(2|x + 2| - 2) - 2) + 2)) - 2 and g(x) = -3cos(1π(-2|((3x + 3)/(1x - 2)) - 1| + 1) + 1) + 3 from x = -2.8 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) = -2|(-2(1((1x + 1)/(-1x + 2))^2 - 4((1x + 1)/(-1x + 2)) - 5) - 2) + 2|, g(x) = -1((2(-2|x - 2| - 3) - 3)/(2(-2|x - 2| - 3) - 1))^2 - 5((2(-2|x - 2| - 3) - 3)/(2(-2|x - 2| - 3) - 1)) - 3, x = 1.5, 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) = -1sin(1π(-3(-1x^2 + 2x - 2) + 5) + 2) - 1, g(x) = (2(-3x - 1) + 1)/(-1(-3x - 1) - 1), x = -2.0, and x = -1.9. 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) = 3cos(3π(-1((-2(2|x + 3| + 3) + 3)/(1(2|x + 3| + 3))) - 4) - 3) - 1 and g(x) = (2(-3|(1cos(2πx + 3) - 1) - 3|) + 1)/(-2(-3|(1cos(2πx + 3) - 1) - 3|) + 3) between the vertical lines x = -3.3 and 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) = -1cos(2π((2(2x + 2) + 1)/(3(2x + 2) - 1)) + 2) - 3 and g(x) = -2|(1x^2 - 1x + 5) - 3| + 2 from x = -0.1 to 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) = 4(1((3(3|x - 2| - 1) - 2)/(-1(3|x - 2| - 1) + 3))^2 - 3((3(3|x - 2| - 1) - 2)/(-1(3|x - 2| - 1) + 3)) - 2) + 5, g(x) = 1(-3|(-1x^2 + 1x + 2) + 2|) - 1, x = 2.5, and x = 2.9. 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(-3|(1cos(1πx - 1))| - 1)^2 - 2(-3|(1cos(1πx - 1))| - 1), g(x) = 3cos(1π(1x^2 - 4x + 1) + 1) - 3, x = -4.2, and x = -4.1000000000000005. Round your answer to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = -3(-3(2|((2x + 1)/(3x - 2)) + 3| - 1) + 4)^2 and g(x) = -4(1((1x + 1)/(-2x - 2))^2 + 1((1x + 1)/(-2x - 2)) + 2) - 2 from x = 0.3 to x = 0.4. 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(2|((-1x - 1)/(1x - 3)) + 3|) + 3)^2 - 2(1(2|((-1x - 1)/(1x - 3)) + 3|) + 3) - 1 and g(x) = -2((-3(-5x) - 2)/(3(-5x) - 1))^2 - 3((-3(-5x) - 2)/(3(-5x) - 1)) - 3 between the vertical lines x = -0.1 and x = -0.0. Round to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = 5((-1(-1|(-3x^2 + 4x + 3) - 3| + 3))/(2(-1|(-3x^2 + 4x + 3) - 3| + 3) - 1)) - 3, g(x) = 2|(1(1cos(2πx - 3) - 2)^2 - 3(1cos(2πx - 3) - 2) - 5) + 1| - 2, x = -0.5, and x = 1.8. Round your answer to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = 2(5(-1cos(3π(3|x + 3| - 1) + 2) - 2)^2 + 3(-1cos(3π(3|x + 3| - 1) + 2) - 2) + 1) + 2 and g(x) = 2(-2|(4x - 4) + 1| - 1)^2 + 5(-2|(4x - 4) + 1| - 1) - 5 from x = 1.2 to x = 1.3. Round to 1 decimal place.

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

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[User]
Calculate the area enclosed between the functions f(x) = 1(-5((-2x - 3)/(-2x + 1))^2 - 3((-2x - 3)/(-2x + 1)) - 2) + 1 and g(x) = 3(3x^2 + 3x - 5) - 4 from x = -2.0 to x = -0.1. 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((-2(-2cos(1πx) + 3) - 2)/(-1(-2cos(1πx) + 3)))^2 - 2((-2(-2cos(1πx) + 3) - 2)/(-1(-2cos(1πx) + 3))) - 5) + 2 and g(x) = (-1(-3|(1x + 3) - 3|) - 2)/(-2(-3|(1x + 3) - 3|) - 1) between the vertical lines x = -0.2 and x = 0.2. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = -1(3(3|x + 1|)^2 - 2(3|x + 1|) - 5) + 4 and g(x) = (2(4x^2 - 4x + 4) - 2)/(-1(4x^2 - 4x + 4) + 3) from x = -0.2 to x = 0.3. Round to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = -1e^(2(5(2|x - 2| - 3)^2 + 5(2|x - 2| - 3) - 2)), g(x) = -1|(5x^2 + 1x + 2) + 2| - 1, x = 2.7, and x = 3.8. Round your answer to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = (-1(-5(3|x - 2| - 1) - 3) + 3)/(-2(-5(3|x - 2| - 1) - 3) - 1), g(x) = -1|(-5x) + 2| - 2, x = 1.8, and x = 2.2. Round your answer to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = 1(1|(1e^(-2x) - 1) - 1| - 1)^2 - 3 and g(x) = -1((3x - 2)/(2x))^2 - 4((3x - 2)/(2x)) - 2 from x = 0.2 to x = 0.7. 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(-2(-3|x + 1|)^2 - 3(-3|x + 1|) - 1) + 1) + 1)/(2(-1(-2(-3|x + 1|)^2 - 3(-3|x + 1|) - 1) + 1) + 1) and g(x) = 2|(-2(-2x^2 + 4x - 1) - 3)| - 2 between the vertical lines x = -0.0 and x = 2.0. Round to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = -2(-1cos(2π(4((3x - 1)/(-1x - 2)) - 4) - 3) - 3)^2 - 4(-1cos(2π(4((3x - 1)/(-1x - 2)) - 4) - 3) - 3) and g(x) = -2(-4((-3x + 1)/(-2x))^2 - 4((-3x + 1)/(-2x)) + 4) + 2 between the vertical lines x = 0.2 and x = 0.3. Round to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = -3|(-2((-2(4x^2 + 4x))/(3(4x^2 + 4x) - 1)) - 3) - 3| + 3, g(x) = -3sin(2π((-3(-1|x + 3| - 3) - 1)/(-2(-1|x + 3| - 3) - 3)) + 1) + 3, x = -1.1, and x = -1.0. 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) = 1(1|(-5(-1sin(2πx - 3)) + 4) - 2| - 2)^2 - 2(1|(-5(-1sin(2πx - 3)) + 4) - 2| - 2) - 2 and g(x) = (-1(1|(3x^2 + 5x + 3) + 2| - 2) - 2)/(-2(1|(3x^2 + 5x + 3) + 2| - 2) + 3) between the vertical lines x = 1.1 and x = 1.4. Round to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = (-2(-5(2sin(3π(3x + 5)) - 2)^2 - 1(2sin(3π(3x + 5)) - 2) - 1) - 3)/(2(-5(2sin(3π(3x + 5)) - 2)^2 - 1(2sin(3π(3x + 5)) - 2) - 1) + 3) and g(x) = -2|((-1(-3x^2 - 4x + 2) - 1)/(2(-3x^2 - 4x + 2) - 3)) + 3| between the vertical lines x = -1.3 and x = -0.0. Round to 1 decimal place.

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

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

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[User]
Determine the area of the region enclosed by the graphs of f(x) = 1(-2|((-2x - 3)/(-2x + 3)) + 2| - 1) - 4 and g(x) = -3(3sin(2πx + 2) + 1)^2 + 1(3sin(2πx + 2) + 1) between the vertical lines x = -1.5 and x = -1.3. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = (2(-1(2sin(3πx + 3) - 1)^2 + 2(2sin(3πx + 3) - 1) + 4) + 1)/(3(-1(2sin(3πx + 3) - 1)^2 + 2(2sin(3πx + 3) - 1) + 4) - 2) and g(x) = (2(3|x - 1| + 2) + 1)/(-2(3|x - 1| + 2) - 3) from x = 0.0 to x = 0.3. Round to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = (-3(-3|(-1x - 3) - 2| + 1) + 3)/(1(-3|(-1x - 3) - 2| + 1)), g(x) = -1|(-4x - 4) - 1| + 3, x = -4.5, and x = -2.9. 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) = 1(-3|(-2sin(1πx - 1) - 1) + 1| - 3) - 3 and g(x) = -1|(-3x^2 + 2x + 2) + 1| between the vertical lines x = -1.6 and x = 2.2. Round to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = 3(1((2x + 2)/(-2x + 3)) - 5)^2 - 1(1((2x + 2)/(-2x + 3)) - 5) + 2 and g(x) = 3|(-3sin(2πx + 3) + 2) + 1| + 2 between the vertical lines x = 1.0 and x = 1.2. Round to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = -2|((-3(2cos(2πx - 1) - 3))/(1(2cos(2πx - 1) - 3) + 2)) - 3| - 2, g(x) = -4(2cos(3πx - 3) - 2)^2 - 4(2cos(3πx - 3) - 2) - 5, x = -0.7, and x = -0.6. 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(2(3cos(3πx) + 2)) + 3)/(-3(2(3cos(3πx) + 2)) + 4) and g(x) = -1cos(2π(4x + 5) + 1) + 3 between the vertical lines x = -2.9 and x = -2.4. Round to 1 decimal place.

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