[User]
Find the area of the region bounded by the curves f(x) = (3(-4(-2cos(1π(-2x - 4) - 1) + 1)^2 - 4) - 3)/(-3(-4(-2cos(1π(-2x - 4) - 1) + 1)^2 - 4) - 2), g(x) = (-3(-1|(-4x - 1) + 1| + 2) + 2)/(-3(-1|(-4x - 1) + 1| + 2) + 1), x = -0.4, 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) = 2e^(-1(-2|(-5((1x + 2)/(-1x - 3))^2) + 1| - 2)) - 1 and g(x) = 5(-2(3sin(1πx + 2) + 2) + 5)^2 - 2(-2(3sin(1πx + 2) + 2) + 5) + 4 from x = -0.8 to x = -0.3. Round to 1 decimal place.

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


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

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


[User]
Calculate the area enclosed between the functions f(x) = 4((-1(-5(1|x + 2| + 1) - 5) + 2)/(3(-5(1|x + 2| + 1) - 5) + 3))^2 - 4((-1(-5(1|x + 2| + 1) - 5) + 2)/(3(-5(1|x + 2| + 1) - 5) + 3)) - 3 and g(x) = (-2(4(-3|x + 1| + 2) - 4) - 1)/(-1(4(-3|x + 1| + 2) - 4)) from x = -1.4 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) = (1(2(1sin(2πx) - 1)^2 - 3(1sin(2πx) - 1) - 1) + 1)/(-2(2(1sin(2πx) - 1)^2 - 3(1sin(2πx) - 1) - 1) + 3) and g(x) = (-2(-1sin(3πx - 3)) - 3)/(-2(-1sin(3πx - 3)) + 3) from x = -2.0 to x = -1.9. Round to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = 1(3|((-2(-2sin(1πx + 3) + 1) - 1)/(2(-2sin(1πx + 3) + 1) - 3)) - 2| - 3) - 4, g(x) = 1((1(-2e^(1x) - 1))/(-1(-2e^(1x) - 1)))^2 - 3, x = -2.8, and x = -2.1. Round your answer to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = -3|(-3cos(1π(2x^2 + 2x + 1)) + 1) + 1| + 1 and g(x) = 1(-2e^(1x) + 1) - 2 from x = -2.5 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) = -5(3e^(-1(-2|x + 1| + 1))) + 5 and g(x) = -3sin(3π(-4x^2 + 3) - 2) between the vertical lines x = -1.1 and x = -1.0. Round to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = -2sin(3π(-3(-1|x - 2| + 1) + 1) + 2) + 3 and g(x) = 3(-5x^2 + 2x + 2) - 5 from x = 0.0 to 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|(-3((1x + 3)/(1x + 2))^2 + 4((1x + 3)/(1x + 2)) + 3) - 2| - 2, g(x) = -1sin(3π(3|x + 3| - 2)) - 1, x = -0.3, and x = -0.2. Round your answer to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = -2((-2(1e^(2(-2|x + 2| + 1)) + 2) + 1)/(-2(1e^(2(-2|x + 2| + 1)) + 2) - 1))^2 + 3((-2(1e^(2(-2|x + 2| + 1)) + 2) + 1)/(-2(1e^(2(-2|x + 2| + 1)) + 2) - 1)) + 3 and g(x) = -2(-3|(-2e^(1x) - 1) + 3| + 3) - 1 from x = -2.6 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) = (-3(1|(1x^2 - 1x - 5) + 2| + 2) - 1)/(-3(1|(1x^2 - 1x - 5) + 2| + 2) + 4) and g(x) = 5(-3cos(1πx - 1) + 1)^2 + 4(-3cos(1πx - 1) + 1) - 2 from x = 0.1 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) = 1((3(1(-2|x + 2| - 1) - 3) + 1)/(-1(1(-2|x + 2| - 1) - 3) + 2))^2 + 1((3(1(-2|x + 2| - 1) - 3) + 1)/(-1(1(-2|x + 2| - 1) - 3) + 2)) + 2 and g(x) = 3|(-1(4x^2 - 3x - 2) + 2) + 1| + 1 from x = -0.7 to x = 1.4. Round to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = 1(-2|((3(3x) - 3)/(-2(3x) + 3)) + 1| + 3)^2 - 1(-2|((3(3x) - 3)/(-2(3x) + 3)) + 1| + 3) + 1 and g(x) = 1cos(1π(1|(-1x + 2) - 1|)) + 3 between the vertical lines x = 3.6 and x = 4.4. 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|((3(3x^2 + 3x - 5) - 3)/(-1(3x^2 + 3x - 5) - 3)) + 2| + 2) + 4 and g(x) = (-3(-1|(-2x - 3) - 1|))/(-2(-1|(-2x - 3) - 1|) - 1) between the vertical lines x = -2.3 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(-2((-2(-1|x|) - 3)/(-1(-1|x|) + 2)) - 1)^2 + 1(-2((-2(-1|x|) - 3)/(-1(-1|x|) + 2)) - 1) and g(x) = (-3(-2(-2|x + 1| + 2)^2 - 4(-2|x + 1| + 2) + 4) - 1)/(-1(-2(-2|x + 1| + 2)^2 - 4(-2|x + 1| + 2) + 4) - 3) between the vertical lines x = -1.6 and x = 0.3. Round to 1 decimal place.

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


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

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


[User]
Find the area of the region bounded by the curves f(x) = 3|((3(-1e^(1(1x + 2)) + 3) - 1)/(-1(-1e^(1(1x + 2)) + 3))) - 2| - 3, g(x) = (-1(4(-1|x - 2| - 2) - 2) + 3)/(1(4(-1|x - 2| - 2) - 2) + 2), x = -1.0, 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) = 1|((3(3x^2 - 5x - 2) - 2)/(-3(3x^2 - 5x - 2) - 3)) - 1| + 3 and g(x) = (-1(-3|x + 3| + 2) - 2)/(2(-3|x + 3| + 2) - 1) between the vertical lines x = -3.6 and 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) = (-2(3(2|(-2x + 5) - 3|)^2 + 4(2|(-2x + 5) - 3|) + 1) - 2)/(3(3(2|(-2x + 5) - 3|)^2 + 4(2|(-2x + 5) - 3|) + 1) + 2) and g(x) = -5(-1(-2|x - 3| + 2)^2 + 1) - 1 between the vertical lines x = 2.5 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) = 2cos(1π(-5((1(-3x^2 + 4x + 3) + 3)/(-2(-3x^2 + 4x + 3) - 3)) - 3) + 2) + 1, g(x) = (1(2sin(3π(-1|x - 2| - 2) + 3)) + 2)/(-1(2sin(3π(-1|x - 2| - 2) + 3)) - 3), x = 2.0, and x = 2.1. 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((1x + 1)/(3x - 2))^2 - 1((1x + 1)/(3x - 2)) + 3) + 1 and g(x) = 3|(-4x + 3) - 2| - 2 from x = 0.4 to x = 1.2. Round to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = (-1(-1(5(3|x + 2|)^2 + 1(3|x + 2|)) + 5) - 1)/(3(-1(5(3|x + 2|)^2 + 1(3|x + 2|)) + 5) + 3) and g(x) = -4(2e^(2((-2x - 2)/(1x - 2))) - 1)^2 - 1(2e^(2((-2x - 2)/(1x - 2))) - 1) + 1 from x = -3.9 to x = -1.2. Round to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = -3|(-1(5((2x + 1)/(3x + 2))^2 + 3)) - 3| - 3 and g(x) = (-3(1(-1sin(3πx + 3) + 2)^2 + 2(-1sin(3πx + 3) + 2) - 5) - 1)/(-2(1(-1sin(3πx + 3) + 2)^2 + 2(-1sin(3πx + 3) + 2) - 5) - 1) between the vertical lines x = 1.8 and x = 1.9. Round to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = (1(-3|(-3x^2 + 3x + 3) + 3| + 2) - 2)/(2(-3|(-3x^2 + 3x + 3) + 3| + 2) - 1) and g(x) = -1(-3sin(1πx - 3) + 3)^2 - 3(-3sin(1πx - 3) + 3) + 2 from x = -2.7 to x = -2.4. Round to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = (-3(2e^(1(-1x^2 - 4x)) - 3) - 2)/(2(2e^(1(-1x^2 - 4x)) - 3) + 2) and g(x) = (2(1x^2 - 5x + 4))/(2(1x^2 - 5x + 4)) from x = -4.0 to 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) = 3|((2(3(-4x - 2)^2 - 1(-4x - 2) - 1) - 2)/(-3(3(-4x - 2)^2 - 1(-4x - 2) - 1) - 3))| - 2 and g(x) = -3cos(1π((3(3x^2 + 5x - 5) + 1)/(-2(3x^2 + 5x - 5) + 1)) + 3) + 2 between the vertical lines x = -2.5 and x = -2.4. Round to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = -1|(4(1((2x + 3)/(2x - 1))^2 - 4((2x + 3)/(2x - 1)) - 2) - 4) - 1| + 2, g(x) = -1((2(2sin(3πx - 1) + 1) - 1)/(-1(2sin(3πx - 1) + 1) + 3)) + 4, x = -1.0, 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(-4(-4(1cos(3πx + 2))^2 + 5(1cos(3πx + 2)) - 1) - 4) + 3)/(3(-4(-4(1cos(3πx + 2))^2 + 5(1cos(3πx + 2)) - 1) - 4)) and g(x) = 3((-1(1x^2 + 2) + 1)/(-1(1x^2 + 2))) + 4 between the vertical lines x = -2.0 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(-2cos(3π(-2x^2 - 1x + 1) - 2) + 1) - 2)/(-1(-2cos(3π(-2x^2 - 1x + 1) - 2) + 1) + 2), g(x) = 3e^(-1(-4x - 2)) - 2, x = 0.2, 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) = (-1(1(-1|(-3x + 4) - 1|)^2 + 4(-1|(-3x + 4) - 1|)) - 3)/(1(1(-1|(-3x + 4) - 1|)^2 + 4(-1|(-3x + 4) - 1|))), g(x) = 5(-2|(3x - 4) + 1| + 3)^2 - 4(-2|(3x - 4) + 1| + 3) - 3, x = 0.4, and x = 0.7. Round your answer to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = (-3(2(-3x - 5)^2 - 1(-3x - 5) - 5))/(2(2(-3x - 5)^2 - 1(-3x - 5) - 5) - 1) and g(x) = -3((-1x - 1)/(-3x - 3)) from x = -2.2 to x = -1.3. Round to 1 decimal place.

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


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

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


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

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


[User]
Calculate the area enclosed between the functions f(x) = (1(-4(-1|(-2x^2 + 5x + 4) + 1| + 1) - 4) + 3)/(-3(-4(-1|(-2x^2 + 5x + 4) + 1| + 1) - 4)) and g(x) = -2cos(3π(-5(-3|x - 3| + 1)^2 + 5(-3|x - 3| + 1) - 1) - 2) + 1 from x = 2.2 to x = 2.3000000000000003. 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(3x + 4)^2 + 4(3x + 4) + 1)) - 1 and g(x) = -2(2|x - 1| - 3) + 1 from x = -1.9 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(-4(5x - 5)^2) - 2)/(2(-4(5x - 5)^2) + 1)) - 1| - 1 and g(x) = (3(-2sin(2π(-2|x + 2| + 2) + 1) + 1) - 3)/(-1(-2sin(2π(-2|x + 2| + 2) + 1) + 1) + 2) from x = -3.6 to 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) = -4(1sin(2π(2((2x - 1)/(1x + 1)) - 4) + 1))^2 + 5(1sin(2π(2((2x - 1)/(1x + 1)) - 4) + 1)) + 2 and g(x) = (2(-1cos(2π(-3|x + 3|) + 3) + 2))/(-3(-1cos(2π(-3|x + 3|) + 3) + 2)) from x = -1.2 to x = -1.0999999999999999. Round to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = (1(2|(3x^2 + 2x - 1) + 1| + 1) - 2)/(-2(2|(3x^2 + 2x - 1) + 1| + 1) + 1) and g(x) = -2cos(2π(1x - 3) - 1) + 2 between the vertical lines x = -0.7 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) = 1(1((-2x + 2)/(2x))^2 + 1((-2x + 2)/(2x))) + 3, g(x) = -2|(2x^2 - 5x - 1) - 2| + 3, x = 3.0, and x = 3.1. 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) = -2cos(3π(-4(-4((3x + 3)/(-1x - 2))^2 - 5((3x + 3)/(-1x - 2)) + 3) + 2) - 3) - 1 and g(x) = 1(4(-2|x + 2| + 1)^2 + 5(-2|x + 2| + 1) - 5) - 1 between the vertical lines x = -1.9 and 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) = 1((-2(-3|x + 2| + 2) - 3)/(2(-3|x + 2| + 2) - 1))^2 - 5((-2(-3|x + 2| + 2) - 3)/(2(-3|x + 2| + 2) - 1)) + 3 and g(x) = -3((2x - 1)/(-1x)) + 3 from x = -2.6 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) = -3|(-2(-3cos(3πx - 3) - 1) + 2) + 1| + 2 and g(x) = -5(3x + 1)^2 - 5(3x + 1) - 5 between the vertical lines x = -0.8 and x = -0.6. Round to 1 decimal place.

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


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

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


[User]
Calculate the area enclosed between the functions f(x) = -2((-3(-3x) - 3)/(2(-3x) + 3))^2 + 2((-3(-3x) - 3)/(2(-3x) + 3)) - 2 and g(x) = (2(-3|x + 1| + 3) + 1)/(3(-3|x + 1| + 3) + 1) from x = -2.1 to x = 0.1. Round to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = -1(1|(1e^(-1x) + 2) + 3| - 2)^2 + 2(1|(1e^(-1x) + 2) + 3| - 2) and g(x) = (3(2cos(1πx - 3) + 2) - 2)/(3(2cos(1πx - 3) + 2) - 1) from x = 2.2 to x = 3.8. Round to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = -3|(5(-2((1x - 1)/(-2x - 2))^2 + 3((1x - 1)/(-2x - 2))) + 2) + 1| + 2 and g(x) = (-1(-3|(1x - 5) + 2| - 2) + 2)/(3(-3|(1x - 5) + 2| - 2) + 2) from x = -0.5 to 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) = 4(4(-3|x + 3| - 1)^2 + 5(-3|x + 3| - 1) - 5) - 4 and g(x) = (1(1cos(3πx + 3)))/(3(1cos(3πx + 3)) + 1) from x = -3.3 to 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) = 1((-2(3x^2 + 1x - 1) - 1)/(-1(3x^2 + 1x - 1) - 1)) + 5 and g(x) = (-3(3x + 5) + 3)/(1(3x + 5) + 2) between the vertical lines x = -0.4 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((1x + 1)/(3x + 3))^2 - 2((1x + 1)/(3x + 3)) - 1) - 3| + 1 and g(x) = 2|(-1x^2 - 1x + 5)| - 2 from x = -4.1 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) = 1cos(3π(2|(-1(-1x - 2)^2 + 3(-1x - 2) + 2) + 3| + 1) + 3) + 2 and g(x) = (-3(1(2|x + 1| + 1) + 4) + 3)/(-1(1(2|x + 1| + 1) + 4) - 2) from x = 3.5 to x = 3.6. Round to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = (-1(2(-1sin(3π(1|x - 2|) + 1) + 1)) - 2)/(3(2(-1sin(3π(1|x - 2|) + 1) + 1)) + 3) and g(x) = -2e^(-2((-1(1|x - 1| - 2))/(2(1|x - 1| - 2) - 1))) + 1 from x = -1.1 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) = -4(-4(1|x| - 2) - 3)^2 + 4(-4(1|x| - 2) - 3) + 5 and g(x) = -2cos(2π(-1x - 3) - 3) from x = -0.9 to x = 0.8. Round to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = (3(-2sin(1π(1(2x^2 + 4x + 2) - 2) + 3) - 1) + 2)/(1(-2sin(1π(1(2x^2 + 4x + 2) - 2) + 3) - 1) + 1) and g(x) = 3cos(2π(-1(3|x - 1| - 2) + 4)) + 1 from x = -3.8 to x = -3.6. Round to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = (-1(3(-2|(-2x + 1) - 1| - 1)^2 + 5(-2|(-2x + 1) - 1| - 1) - 2) - 3)/(-2(3(-2|(-2x + 1) - 1| - 1)^2 + 5(-2|(-2x + 1) - 1| - 1) - 2) - 3), g(x) = -2cos(2π(2|((1x + 1)/(3x)) - 1| - 1) + 3) - 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]
Calculate the area enclosed between the functions f(x) = 3(-5(-1|((2x - 2)/(-2x + 1)) - 1| + 3)^2 + 2(-1|((2x - 2)/(-2x + 1)) - 1| + 3) + 4) - 2 and g(x) = -1|((2(4x - 1) + 2)/(-1(4x - 1) + 2)) - 3| + 1 from x = 0.7 to 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) = -3(-3|((1(3x^2 + 3x - 3) - 1)/(2(3x^2 + 3x - 3) + 1))| - 2) - 2 and g(x) = -4((-2(1|x + 2| + 3) - 1)/(1(1|x + 2| + 3) + 1)) - 1 between the vertical lines x = -1.7 and x = 0.7. Round to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = -1sin(1π(5(2|x - 3| - 3) + 3) + 3) - 2 and g(x) = (-2(5x + 4) + 1)/(3(5x + 4) + 2) between the vertical lines x = -1.3 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) = 1(1cos(3π((-2x + 1)/(1x - 3)) + 2) + 3)^2 - 2(1cos(3π((-2x + 1)/(1x - 3)) + 2) + 3) + 4 and g(x) = -3sin(2π((2x + 1)/(-2x + 1)) + 1) + 2 between the vertical lines x = 3.1 and x = 3.2. Round to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = -5(2|((-2(5x^2 + 2x - 1) - 3)/(-3(5x^2 + 2x - 1) + 1)) - 1| - 2) - 3, g(x) = 1((1(-1|x - 2| + 3) - 2)/(-1(-1|x - 2| + 3) + 3)), x = -0.9, and x = 0.5. Round your answer to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = 3((-1(3|(3x^2 - 4x - 2)|) + 3)/(3(3|(3x^2 - 4x - 2)|) + 2)) - 5 and g(x) = (3(2(-3cos(2πx - 1) - 1)^2 + 5(-3cos(2πx - 1) - 1) + 3) - 2)/(2(2(-3cos(2πx - 1) - 1)^2 + 5(-3cos(2πx - 1) - 1) + 3) - 1) from x = -3.0 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) = 3cos(2π((1(4(1|x + 1| - 2) + 3) - 1)/(2(4(1|x + 1| - 2) + 3) + 3))) - 3 and g(x) = -4(1|((-1x + 3)/(-3x + 1)) - 1| - 2)^2 - 4(1|((-1x + 3)/(-3x + 1)) - 1| - 2) - 5 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(-1sin(1π(2|(2x^2 - 2x - 2) + 3| + 3) + 1) - 2))/(1(-1sin(1π(2|(2x^2 - 2x - 2) + 3| + 3) + 1) - 2) + 2), g(x) = -2|(-3(5x^2 + 2x - 2) + 4) - 3| + 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]
Determine the area of the region enclosed by the graphs of f(x) = -3((-3(-3|x - 1| + 1) - 3)/(-3(-3|x - 1| + 1) - 1)) - 3 and g(x) = 1cos(3π(5x^2 + 2x + 5) + 1) - 2 between the vertical lines x = 1.6 and x = 1.7000000000000002. 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(-2sin(2π(-3|(2x^2 + 1x + 2) - 2| - 3)) - 3) - 4 and g(x) = 5(-3(-2sin(1πx + 1) + 1) - 4)^2 + 3(-3(-2sin(1πx + 1) + 1) - 4) from x = 4.1 to x = 4.199999999999999. Round to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = 3cos(3π((2(-2(-1|x - 3| - 2) + 1) - 2)/(1(-2(-1|x - 3| - 2) + 1) + 1)) - 2) + 2 and g(x) = 5((-2(-1|x - 2| + 1) + 1)/(-2(-1|x - 2| + 1) - 3))^2 + 2((-2(-1|x - 2| + 1) + 1)/(-2(-1|x - 2| + 1) - 3)) + 3 between the vertical lines x = 0.7 and x = 2.6. Round to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = -4((1(3|x - 3| - 1) - 2)/(2(3|x - 3| - 1) + 3)) + 4 and g(x) = 2|(-1x^2 - 5x - 5) + 3| - 3 between the vertical lines x = -1.3 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) = 3|(2((3(-1x - 3) + 3)/(3(-1x - 3) + 3))^2 + 3((3(-1x - 3) + 3)/(3(-1x - 3) + 3)) - 3)| - 3, g(x) = (3(2e^(2(2x^2 - 1x - 3)) - 1) + 1)/(-1(2e^(2(2x^2 - 1x - 3)) - 1) + 2), x = -1.0, and x = 1.5. Round your answer to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = (2(2cos(2π(2(3|x + 3| + 1)^2 + 2(3|x + 3| + 1) - 4) + 2)) - 3)/(3(2cos(2π(2(3|x + 3| + 1)^2 + 2(3|x + 3| + 1) - 4) + 2)) - 2) and g(x) = 1(-4((-1x - 3)/(-2x + 3)) + 2)^2 + 3(-4((-1x - 3)/(-2x + 3)) + 2) - 5 from x = 3.7 to x = 3.8000000000000003. Round to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = (-1(-1(5(-2|x + 3|)^2 + 4(-2|x + 3|) + 4) + 3))/(1(-1(5(-2|x + 3|)^2 + 4(-2|x + 3|) + 4) + 3) + 2) and g(x) = 3|(5(-1x + 5)^2 - 4) - 1| - 2 between the vertical lines x = 4.0 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(1e^(2(-3(-3|x - 2| - 1)^2 - 2(-3|x - 2| - 1) - 4)) + 2) - 2)/(-1(1e^(2(-3(-3|x - 2| - 1)^2 - 2(-3|x - 2| - 1) - 4)) + 2) - 1), g(x) = -1|(-5(5x + 2)^2 + 4(5x + 2))| + 1, x = -0.4, and x = -0.2. Round your answer to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = 5((-3(5x^2 + 3x + 1) + 3)/(3(5x^2 + 3x + 1) - 1)) + 5 and g(x) = 1(-1|x - 1| - 3)^2 + 1(-1|x - 1| - 3) - 4 between the vertical lines x = -0.4 and x = -0.1. Round to 1 decimal place.

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


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

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


[User]
Find the area of the region bounded by the curves f(x) = -1|(-2((-1x - 2)/(2x)) - 2) + 1| - 1, g(x) = -2|((2x + 2)/(1x - 3))| - 3, x = -1.0, 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) = -4((-3(3x^2 + 4x - 5) + 2)/(1(3x^2 + 4x - 5))) + 3 and g(x) = (-2(1|x - 3| + 3) - 3)/(3(1|x - 3| + 3) - 2) between the vertical lines x = -2.2 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) = -1cos(2π((3(-2x) + 1)/(-1(-2x) + 2)) + 2) - 3 and g(x) = 1(2sin(1πx - 1))^2 - 1(2sin(1πx - 1)) - 3 between the vertical lines x = 0.6 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) = (1(1e^(1(-1(-1x + 4)^2 - 1(-1x + 4) + 2)) - 1))/(-1(1e^(1(-1(-1x + 4)^2 - 1(-1x + 4) + 2)) - 1) + 3) and g(x) = 5(3|(-3sin(2πx - 3) - 1) - 1| - 3) - 2 between the vertical lines x = -4.6 and x = -4.0. 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(2x + 3)^2 + 4(2x + 3) + 1) - 1| + 3, g(x) = -2sin(3π(2x^2 - 1x - 2) + 3) - 3, 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) = -4(3sin(2π(-4(1|x + 3| - 1)^2 - 4(1|x + 3| - 1) + 5) + 2)) - 4 and g(x) = (2(-3sin(1π(2x^2 - 4x + 2) + 3) - 3) + 2)/(-2(-3sin(1π(2x^2 - 4x + 2) + 3) - 3) + 3) between the vertical lines x = 1.7 and x = 1.8. Round to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = -4(-3(-1sin(2πx - 3) + 1)^2 - 2(-1sin(2πx - 3) + 1)) - 1, g(x) = 1|(4x^2 + 4x + 3) - 3| - 1, x = -3.6, 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) = -1(-1(3cos(2π(-2|x + 1| + 2) + 2) - 1) - 4)^2 - 3(-1(3cos(2π(-2|x + 1| + 2) + 2) - 1) - 4) + 1 and g(x) = (-2(-2|(3e^(-1x) + 1) - 2| + 1))/(-2(-2|(3e^(-1x) + 1) - 2| + 1) - 3) from x = 0.0 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) = (1(1(2|x - 3|) - 4) - 2)/(2(1(2|x - 3|) - 4) + 2) and g(x) = 3(2cos(3πx) - 1)^2 + 2(2cos(3πx) - 1) + 4 between the vertical lines x = 1.6 and x = 4.4. Round to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = -2|(5(-4(1sin(3πx - 2) - 3)^2 - 4(1sin(3πx - 2) - 3) + 3) + 2) + 1| - 1, g(x) = -1(3|(2sin(2πx - 2) - 2) + 1| - 2)^2 - 3(3|(2sin(2πx - 2) - 2) + 1| - 2) - 5, 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) = (-3(1|(-2x - 3) - 3| + 2) + 3)/(-2(1|(-2x - 3) - 3| + 2) - 2), g(x) = 3(3sin(2πx + 2) - 1)^2 + 2(3sin(2πx + 2) - 1) - 3, x = 3.6, and x = 3.8. 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((1(-1|(-2x^2 + 5x - 3) - 3|) - 1)/(-3(-1|(-2x^2 + 5x - 3) - 3|) - 1)) - 3, g(x) = -5(4(-1e^(1x) + 3) + 3)^2 - 4(4(-1e^(1x) + 3) + 3) + 3, x = 1.3, 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) = -2sin(1π((-3(1|x - 3| + 3) - 2)/(-1(1|x - 3| + 3) + 2)) + 3) + 3 and g(x) = -3(2sin(3πx + 1) + 1) + 3 from x = 3.2 to x = 3.6. Round to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = -5(-3((-2x - 3)/(-2x - 1)) + 2)^2 + 2(-3((-2x - 3)/(-2x - 1)) + 2) + 4 and g(x) = 1|(-1x + 5) - 3| - 1 from x = -3.2 to x = -2.4. Round to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = 2e^(-1(1(-2|x + 3|)^2 + 2(-2|x + 3|))) - 2 and g(x) = 2cos(3π((-1x - 1)/(2x + 3)) + 3) - 2 from x = -1.5 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) = -2sin(1π(-3((1(-4x + 2) - 3)/(-3(-4x + 2) - 1))^2 - 1)) - 2 and g(x) = -2|(1((-2x + 2)/(-3x + 1))) - 3| - 1 from x = 0.0 to 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) = 1e^(1(-3|(1((2x - 2)/(2x - 3)) - 2) - 3| + 1)) - 1, g(x) = (1(-3(4x - 1)^2 + 1(4x - 1) - 3) - 2)/(-2(-3(4x - 1)^2 + 1(4x - 1) - 3) - 1), x = 0.2, and x = 0.3. Round your answer to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = 3sin(3π((-2(-2x + 3) - 1)/(-1(-2x + 3) + 2)) + 3) - 2 and g(x) = 2(-2cos(1πx - 1) + 1)^2 + 5(-2cos(1πx - 1) + 1) - 3 from x = -3.3 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) = 2cos(1π(-3(3(1|x - 2| + 2) - 5)^2 + 3(3(1|x - 2| + 2) - 5) + 2) + 1), g(x) = (2(3(-2cos(2πx + 3) - 1)^2 - 3(-2cos(2πx + 3) - 1) - 4))/(-1(3(-2cos(2πx + 3) - 1)^2 - 3(-2cos(2πx + 3) - 1) - 4) - 1), x = 0.6, 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) = -1e^(1((-2(-1|x - 1| + 3) + 2)/(-2(-1|x - 1| + 3) - 2))) + 2 and g(x) = -3|((3x + 3)/(-1x - 2)) - 2| + 2 between the vertical lines x = -1.4 and x = -1.2999999999999998. Round to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = (-1(-4(1|(-3x^2 + 2x + 3) + 2| - 2) + 1) - 3)/(-2(-4(1|(-3x^2 + 2x + 3) + 2| - 2) + 1) + 3) and g(x) = -4(-2cos(1π((1x)/(-3x - 2)) + 2) - 2)^2 - 1(-2cos(1π((1x)/(-3x - 2)) + 2) - 2) - 2 from x = -0.7 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) = (2(1(3|(-2x^2 - 5x - 5) + 1| - 3) - 2))/(-1(1(3|(-2x^2 - 5x - 5) + 1| - 3) - 2) - 3) and g(x) = -5((1(1|x + 3| - 2) + 2)/(-3(1|x + 3| - 2) - 2)) + 5 from x = -4.1 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) = (-2(-2(-2|(2cos(1πx) + 1) - 3| - 1) - 5) - 1)/(-1(-2(-2|(2cos(1πx) + 1) - 3| - 1) - 5) - 2) and g(x) = -2|((3(-5x + 4))/(-3(-5x + 4))) - 1| + 3 from x = 2.2 to x = 3.8. Round to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = 2|(-3e^(-1((2(-2x + 3) - 1)/(3(-2x + 3) + 2))) - 3) + 3| - 2 and g(x) = 2((-1(1|x - 1| - 2) + 3)/(-3(1|x - 1| - 2))) + 3 from x = -1.9 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(4(-3e^(2(-1|x - 3| + 1)) + 2) + 1) + 1)/(-2(4(-3e^(2(-1|x - 3| + 1)) + 2) + 1) - 2) and g(x) = 2sin(2π(-1(3|x + 2| - 3) + 3)) - 1 from x = 1.8 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) = 3sin(1π(-2|((2x + 1)/(-2x + 1))| + 3) + 3) - 3, g(x) = -3(-5x - 4)^2 - 2(-5x - 4) - 4, x = -0.9, and x = -0.6. Round your answer to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = (-1(-1(2(2|x + 1| + 3)^2 + 5(2|x + 1| + 3) - 5) - 2) - 1)/(1(-1(2(2|x + 1| + 3)^2 + 5(2|x + 1| + 3) - 5) - 2) + 3), g(x) = 4(2(-2|x - 1| + 3)^2 - 5(-2|x - 1| + 3) - 2) + 3, x = 0.8, and x = 1.2. Round your answer to 1 decimal place.

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


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

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


[User]
Find the area of the region bounded by the curves f(x) = (-1(-2|(-2cos(1πx - 1) + 1)| + 2) - 2)/(-1(-2|(-2cos(1πx - 1) + 1)| + 2) - 3), g(x) = (1(2x^2 + 1x + 2) + 1)/(-1(2x^2 + 1x + 2) - 3), x = 3.0, and x = 3.6. 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(-2|(2cos(3π(-1x^2 + 1x - 3) + 1) + 1) - 2| - 2) - 4, g(x) = -1cos(3π(-4((2x)/(2x - 1))^2 + 2((2x)/(2x - 1)) + 2) - 1), x = 2.8, 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) = (3(-1(-2cos(2πx - 3) - 1) - 1) + 2)/(-3(-1(-2cos(2πx - 3) - 1) - 1) - 3) and g(x) = -1sin(2π(-1x + 5)) from x = 1.6 to 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) = -1((3(3|(2x - 1)| - 2) - 2)/(1(3|(2x - 1)| - 2) + 1))^2 + 1((3(3|(2x - 1)| - 2) - 2)/(1(3|(2x - 1)| - 2) + 1)) - 2, g(x) = -1|(-1(2sin(1πx))^2 + 5(2sin(1πx)) + 5) + 1| + 2, x = -0.6, and x = -0.3. Round your answer to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = (-1(1(-2|(2x^2 - 5x - 3) - 3| + 1) + 4) + 3)/(-3(1(-2|(2x^2 - 5x - 3) - 3| + 1) + 4) + 2), g(x) = (1(1|(-1x + 5) - 2| + 3) - 1)/(1(1|(-1x + 5) - 2| + 3)), x = -0.5, 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) = -2|((-2(-1x - 4) + 3)/(2(-1x - 4) - 1)) - 2| and g(x) = (-2(-1|x + 1| + 3) + 3)/(-2(-1|x + 1| + 3) + 1) between the vertical lines x = -3.4 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) = 2e^(2(-2(-1x^2 - 3x - 2) - 5)) + 2, g(x) = 1|(2sin(3πx + 3) - 1)| + 3, x = -3.2, and x = 0.2. Round your answer to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = (1(-5(2|(-2x - 2) + 2| + 2)^2 + 2(2|(-2x - 2) + 2| + 2) - 5) - 1)/(2(-5(2|(-2x - 2) + 2| + 2)^2 + 2(2|(-2x - 2) + 2| + 2) - 5) - 3) and g(x) = (1(1(-3x + 4)^2 + 4(-3x + 4) + 4) + 3)/(3(1(-3x + 4)^2 + 4(-3x + 4) + 4) + 1) between the vertical lines x = 1.2 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) = -1e^(1(4((-2(-3x - 5) + 1)/(3(-3x - 5)))^2 + 2((-2(-3x - 5) + 1)/(3(-3x - 5))) + 1)) + 1, g(x) = 1(3|(1x + 2) + 3|)^2 - 5(3|(1x + 2) + 3|) + 3, x = -4.4, and x = -3.9. Round your answer to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = -3((2(-1(-3|x + 1| - 3) + 4) + 3)/(-2(-1(-3|x + 1| - 3) + 4) + 3))^2 + 1((2(-1(-3|x + 1| - 3) + 4) + 3)/(-2(-1(-3|x + 1| - 3) + 4) + 3)) + 5 and g(x) = (-3(-2e^(1(-1|x| + 2)) + 3) - 1)/(-1(-2e^(1(-1|x| + 2)) + 3)) between the vertical lines x = -1.5 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) = (2(3(-2x^2 - 1x + 1) + 3) - 2)/(-3(3(-2x^2 - 1x + 1) + 3) + 1) and g(x) = 4(-1sin(1πx) - 3)^2 - 2(-1sin(1πx) - 3) - 4 between the vertical lines x = -1.2 and x = 0.8. Round to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = 1(-1|(-1((1x)/(2x + 1)) - 3)|)^2 + 1(-1|(-1((1x)/(2x + 1)) - 3)|) + 4 and g(x) = 5(3|(-5x^2 - 1x + 3) - 1| + 2) between the vertical lines x = 0.5 and x = 0.6. Round to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = 3sin(2π(3|(-1x - 3)| - 1)) + 2, g(x) = -2(-1e^(1x) - 3) - 5, x = 0.4, 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) = -1|((3(1(2x - 5)^2 + 2(2x - 5) - 5) - 3)/(3(1(2x - 5)^2 + 2(2x - 5) - 5) + 2)) + 1| and g(x) = -1(-3|(1cos(1πx - 2) - 3) + 2| - 2)^2 + 3(-3|(1cos(1πx - 2) - 3) + 2| - 2) - 2 between the vertical lines x = 0.9 and x = 3.2. Round to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = (-1(5(-3|x| - 1)^2 - 3(-3|x| - 1) + 5) - 3)/(3(5(-3|x| - 1)^2 - 3(-3|x| - 1) + 5) + 1), g(x) = -2(-2|x - 2| + 3), x = 0.6, and x = 3.4. Round your answer to 1 decimal place.

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


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

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


[User]
Find the area of the region bounded by the curves f(x) = (-3(-3e^(-2(2(-3|x| - 3)^2 - 1(-3|x| - 3) - 3)) - 2) - 2)/(2(-3e^(-2(2(-3|x| - 3)^2 - 1(-3|x| - 3) - 3)) - 2) + 1), g(x) = -1(3|(2e^(-1x)) - 3| - 1) - 1, x = -0.5, 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(-2x + 1) - 3)/(2(-2x + 1) + 1)) - 1| + 1 and g(x) = (1(1|x - 3| + 2) + 3)/(-2(1|x - 3| + 2) - 2) from x = -2.0 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) = -2|((-1(4(2x^2 - 1x) + 2) + 1)/(-2(4(2x^2 - 1x) + 2) + 3)) + 3| - 2 and g(x) = (2(-4(1|x + 2| - 2)) - 2)/(-1(-4(1|x + 2| - 2)) + 3) between the vertical lines x = -3.1 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) = -3(1|(3x - 1) - 3| - 2)^2 - 2(1|(3x - 1) - 3| - 2) + 1, g(x) = 3(-3|x + 1| - 1) + 1, x = 0.1, and x = 3.1. 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) = -4(-2|((-2(-5x^2 + 5x + 2))/(-3(-5x^2 + 5x + 2) - 2)) - 2| - 2) - 3 and g(x) = 1|(-1((2x - 2)/(-1x)) + 4) + 3| + 3 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]
Determine the area of the region enclosed by the graphs of f(x) = 4(-4(2|x + 1| - 1)^2 - 2(2|x + 1| - 1) + 1) + 5 and g(x) = -1(2|x + 2| + 2)^2 + 1(2|x + 2| + 2) + 5 between the vertical lines x = -1.8 and x = 0.2. Round to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = -3(-5(2|((2x)/(3x - 2)) - 3| - 3) + 4)^2 - 4(-5(2|((2x)/(3x - 2)) - 3| - 3) + 4) - 4 and g(x) = -4(-4(2cos(3πx + 1) - 2) - 1)^2 + 1(-4(2cos(3πx + 1) - 2) - 1) - 4 between the vertical lines x = -2.2 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|(4(-3cos(2π((-3x)/(-1x + 2)) - 3) - 2) - 2) + 3| - 3, g(x) = 4(-3(3|x - 2| - 3)^2 + 5) - 5, x = 1.7, 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) = 2((1(1|(-5x - 3) + 2| + 1) + 1)/(1(1|(-5x - 3) + 2| + 1) + 3))^2 - 2((1(1|(-5x - 3) + 2| + 1) + 1)/(1(1|(-5x - 3) + 2| + 1) + 3)), g(x) = -2(4(-3cos(2πx + 1) + 2) - 2)^2 + 4(4(-3cos(2πx + 1) + 2) - 2) - 1, x = 1.6, and x = 1.7. Round your answer to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = (1(-2|(5(1x^2 + 4x + 1) - 3) + 2|) + 2)/(1(-2|(5(1x^2 + 4x + 1) - 3) + 2|) + 3) and g(x) = -1e^(1((-2(-3x^2 + 3x - 5))/(-3(-3x^2 + 3x - 5) - 1))) - 2 from x = -3.7 to x = -0.3. Round to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = -3|(3sin(3π(-3(3x + 5)^2 + 1(3x + 5) - 5) + 3) - 1) - 1| + 3 and g(x) = -3sin(1π((3(-1x^2 + 4x + 4) + 1)/(-1(-1x^2 + 4x + 4) - 2)) - 3) + 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]
Find the area of the region bounded by the curves f(x) = 2|((-1(3x - 1) + 2)/(2(3x - 1) - 3)) + 1| - 2, g(x) = 1(-2|x + 3| - 1)^2 + 2(-2|x + 3| - 1), x = 0.8, and x = 0.9. 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) = (-3(-3cos(1π(3|x - 2| + 2) + 3) - 1) - 1)/(2(-3cos(1π(3|x - 2| + 2) + 3) - 1)) and g(x) = 1((1x - 1)/(3x + 1)) - 1 from x = 0.0 to x = 0.3. Round to 1 decimal place.

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


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

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = 3(5((3x - 2)/(2x + 2)) - 4)^2 - 2(5((3x - 2)/(2x + 2)) - 4) + 1 and g(x) = 3sin(1π(4x^2 + 4x - 2)) + 1 between the vertical lines x = 3.2 and x = 3.3000000000000003. 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(2|(-5x - 3) - 2| - 2))/(1(2|(-5x - 3) - 2| - 2) + 3))^2 + 3((-2(2|(-5x - 3) - 2| - 2))/(1(2|(-5x - 3) - 2| - 2) + 3)) + 5 and g(x) = 1((-3(1|x - 2| + 1) - 2)/(2(1|x - 2| + 1) - 1))^2 + 3((-3(1|x - 2| + 1) - 2)/(2(1|x - 2| + 1) - 1)) - 1 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) = -4(-2|(-1((-2x - 2)/(3x - 1)) + 3)| + 1)^2 - 4(-2|(-1((-2x - 2)/(3x - 1)) + 3)| + 1) + 4, g(x) = (2(4(-4x - 5)^2 + 1(-4x - 5) - 4) + 2)/(2(4(-4x - 5)^2 + 1(-4x - 5) - 4) - 1), x = -1.5, and x = -0.0. Round your answer to 1 decimal place.

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


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

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


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

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


[User]
Calculate the area enclosed between the functions f(x) = 3((-3(-1(-2e^(1x) - 2) + 5) - 2)/(2(-1(-2e^(1x) - 2) + 5) - 1))^2 - 2((-3(-1(-2e^(1x) - 2) + 5) - 2)/(2(-1(-2e^(1x) - 2) + 5) - 1)) - 5 and g(x) = 4(-1|(-1x) - 3| + 2)^2 + 2(-1|(-1x) - 3| + 2) - 1 from x = -2.3 to x = 0.7. Round to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = -2(-1|(-3x^2 - 4x + 1) + 3| + 1) and g(x) = -1((-1x - 1)/(-1x + 3)) + 5 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]
Find the area of the region bounded by the curves f(x) = -3sin(3π(5(-2x + 5)^2 - 3(-2x + 5) + 2)) - 2, g(x) = -1sin(2π(2|x| + 3)) + 2, x = -4.6, 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) = 2sin(2π((3(-1|(3x^2 + 3x) + 3| + 2) - 2)/(-1(-1|(3x^2 + 3x) + 3| + 2) - 2)) - 3) + 2, g(x) = -2e^(-1((3(-5x^2 - 2x + 3) + 3)/(-2(-5x^2 - 2x + 3) - 3))) + 1, x = -1.1, and x = 0.7. Round your answer to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = (-1(-3|(5(2x - 3)^2 - 1(2x - 3) - 1) - 2| + 2) + 3)/(3(-3|(5(2x - 3)^2 - 1(2x - 3) - 1) - 2| + 2) - 2) and g(x) = 1(3cos(3π(-4x^2 + 2x + 3) + 3)) from x = 4.7 to x = 4.8. 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) = -1sin(2π(3|((2x + 2)/(1x + 3)) + 2| + 2) - 3) - 3, g(x) = 3sin(1π(-2|x + 2| + 2) - 3) - 3, x = -3.0, and x = -2.9. 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(3sin(1π((2x + 3)/(-2x - 3)) - 2) - 3)^2 + 2(3sin(1π((2x + 3)/(-2x - 3)) - 2) - 3) + 5 and g(x) = 2|(3cos(2πx - 1) + 2)| + 2 between the vertical lines x = -4.6 and x = -4.1. Round to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = (1(1|(-2x - 1) + 1| - 1) - 1)/(3(1|(-2x - 1) + 1| - 1) - 2) and g(x) = 1|((-2x + 1)/(-1x + 3)) - 2| + 1 between the vertical lines x = -0.8 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) = 3((-3(-2|(3x - 2) - 2| + 3) + 3)/(-3(-2|(3x - 2) - 2| + 3) + 2))^2 - 4((-3(-2|(3x - 2) - 2| + 3) + 3)/(-3(-2|(3x - 2) - 2| + 3) + 2)) - 5 and g(x) = (-1(1(-3cos(1πx)) + 3) - 3)/(-2(1(-3cos(1πx)) + 3) - 2) from x = 1.0 to 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) = 3(-2(2cos(3π((1x - 2)/(-2x - 1)) - 3) + 3) + 1)^2 - 4(-2(2cos(3π((1x - 2)/(-2x - 1)) - 3) + 3) + 1) and g(x) = 1|((3(1x) - 1)/(-3(1x) + 4))| - 1 between the vertical lines x = 1.3 and x = 1.4000000000000001. 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 - 3)/(3x)) - 1) - 1| and g(x) = -1((-2x)/(-1x - 2)) + 4 from x = -0.2 to x = 0.5. Round to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = -3e^(2(2((2(2|x - 3| + 1))/(2(2|x - 3| + 1) + 3))^2 - 5((2(2|x - 3| + 1))/(2(2|x - 3| + 1) + 3)) + 2)) and g(x) = -1|(2(-1x^2 - 5x - 5) + 1) - 2| + 3 from x = -4.1 to x = -0.9. Round to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = -2(3sin(3π(-5((-3x)/(-3x + 1)) + 2) - 2) - 3)^2 - 5(3sin(3π(-5((-3x)/(-3x + 1)) + 2) - 2) - 3) - 2 and g(x) = 2cos(2π(1|(-5x + 5) + 2| + 2)) - 3 between the vertical lines x = 1.8 and x = 2.5. Round to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = -3cos(2π(3(-4((-2x + 1)/(1x)) - 2)^2 - 2(-4((-2x + 1)/(1x)) - 2) + 3) + 3) + 2 and g(x) = 2|(3e^(1((1x - 1)/(-2x + 1))) - 3) - 1| + 1 from x = 2.3 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) = 3(-3(-3|(2sin(2πx) - 2)| + 3)^2 + 1(-3|(2sin(2πx) - 2)| + 3) + 3) - 1 and g(x) = -3(-2|(2cos(3πx - 1) + 1) + 2| - 1)^2 - 3(-2|(2cos(3πx - 1) + 1) + 2| - 1) + 3 between the vertical lines x = 1.2 and x = 1.3. Round to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = (-1(-3(3cos(2π(2|x - 3|) + 2))^2 - 4(3cos(2π(2|x - 3|) + 2)) + 2) - 2)/(2(-3(3cos(2π(2|x - 3|) + 2))^2 - 4(3cos(2π(2|x - 3|) + 2)) + 2) + 3) and g(x) = (-1(-1(-1|x + 2| + 3) - 2) - 1)/(-3(-1(-1|x + 2| + 3) - 2) + 1) between the vertical lines x = -2.2 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) = 1(-3sin(3π(1|(3x - 3) - 1| + 3) + 1) - 3)^2 - 2(-3sin(3π(1|(3x - 3) - 1| + 3) + 1) - 3) and g(x) = -1|(3(-1e^(-1x) + 2)^2 - 4(-1e^(-1x) + 2) + 4) - 2| + 1 from x = -0.2 to x = -0.1. Round to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = -5(3|(-1x) + 2|)^2 - 2(3|(-1x) + 2|) + 4 and g(x) = -2((-1x + 1)/(-1x))^2 - 3((-1x + 1)/(-1x)) - 4 between the vertical lines x = 0.1 and x = 1.6. Round to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = 1(-2(-3sin(1πx - 3) - 1)^2 + 3(-3sin(1πx - 3) - 1) + 4) - 2, g(x) = -3e^(1(1x^2 - 3x - 5)) + 1, x = 0.3, 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(-3|(5(1cos(2πx)) + 3) - 2| + 2) - 2)/(1(-3|(5(1cos(2πx)) + 3) - 2| + 2) + 3) and g(x) = -2|(3(1cos(1πx - 2))^2 - 1(1cos(1πx - 2)) + 2) - 3| - 1 from x = -1.0 to 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) = -3|(-1(1e^(-2((-1x + 2)/(-3x - 2))) + 3) - 2) + 1| + 1 and g(x) = -5(3sin(1π(-2|x - 2| + 2) + 2) + 3) - 5 between the vertical lines x = -4.4 and 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) = 1sin(2π(1((3(4x^2 - 3x + 4) - 3)/(-1(4x^2 - 3x + 4) + 2))) - 3), g(x) = 2((-1(2|x + 2|) + 2)/(-3(2|x + 2|)))^2 - 5((-1(2|x + 2|) + 2)/(-3(2|x + 2|))) + 1, 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) = 4((-1(-5x - 2) + 2)/(2(-5x - 2) - 1))^2 - 5((-1(-5x - 2) + 2)/(2(-5x - 2) - 1)) and g(x) = -1e^(2(3x - 1)) - 1 from x = -0.7 to x = -0.6. Round to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = 3|(2sin(1π(2x + 4) - 1) + 3) + 3| - 1 and g(x) = 4(1e^(-1x) + 1) - 5 between the vertical lines x = -1.2 and x = -1.1. Round to 1 decimal place.

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


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

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


[User]
Calculate the area enclosed between the functions f(x) = -1|(2(2e^(-1x) - 2)^2 + 4(2e^(-1x) - 2) - 4)| + 2 and g(x) = 2cos(3π((1x - 2)/(-2x - 3)) - 1) - 2 from x = 0.2 to x = 0.4. Round to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = -5(-1|(3sin(2πx + 1) - 2) - 3| + 3)^2 - 3(-1|(3sin(2πx + 1) - 2) - 3| + 3) - 3 and g(x) = (-2(-2cos(2πx - 2) + 1) + 1)/(-2(-2cos(2πx - 2) + 1)) from x = 2.5 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((-3(3(3cos(3πx + 1) - 3)^2 - 4) - 1)/(-3(3(3cos(3πx + 1) - 3)^2 - 4))) - 2 and g(x) = -1|(2(-4x - 2)^2 + 5(-4x - 2) - 2) + 3| from x = -0.0 to x = 0.3. Round to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = 1|(5(-4x + 4)^2 - 3(-4x + 4) - 1)| + 1 and g(x) = 4(3x^2 + 1) + 4 between the vertical lines x = 0.5 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) = (-3(1sin(2π(1|x + 2| + 2) + 3) - 3) - 2)/(-3(1sin(2π(1|x + 2| + 2) + 3) - 3) - 2) and g(x) = 3cos(1π(-2x - 4) - 1) - 1 between the vertical lines x = 3.0 and 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|(2cos(2π(-5(-1x + 3)^2 + 4(-1x + 3) + 1)) + 1) + 3| + 2 and g(x) = -5(2e^(1(1|x + 3| - 2)) - 2) - 1 between the vertical lines x = -0.8 and x = -0.7000000000000001. 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(-2cos(1π(2x + 5) + 2) + 2) - 3)/(-3(-2cos(1π(2x + 5) + 2) + 2)) and g(x) = 5(3|x| - 3)^2 + 5(3|x| - 3) + 2 between the vertical lines x = 2.2 and x = 2.3000000000000003. 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) = 1((-3(-1|(1x - 4) - 2| + 2) + 3)/(-2(-1|(1x - 4) - 2| + 2)))^2 + 4((-3(-1|(1x - 4) - 2| + 2) + 3)/(-2(-1|(1x - 4) - 2| + 2))) - 4, g(x) = -2(-3cos(3π(3|x + 2| + 3) + 3) + 1)^2 + 1(-3cos(3π(3|x + 2| + 3) + 3) + 1) + 5, x = 4.6, and x = 4.8. 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) = (-2(-5(2x^2 + 1x - 1)) + 3)/(2(-5(2x^2 + 1x - 1)) - 1), g(x) = (1(-5x^2 + 4x - 5) - 1)/(-3(-5x^2 + 4x - 5) - 3), x = -0.8, and x = 0.3. Round your answer to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = -3|((-2(1(1x^2 - 3x + 5) + 2) + 3)/(3(1(1x^2 - 3x + 5) + 2) + 1)) + 3| + 2 and g(x) = -5(-3|((-2x - 2)/(-1x - 3)) + 2| - 1)^2 - 5(-3|((-2x - 2)/(-1x - 3)) + 2| - 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) = -2|((-2(-5(-2x^2 - 5x - 2) - 2) + 2)/(-2(-5(-2x^2 - 5x - 2) - 2) - 3)) + 3| + 2, g(x) = (-1(-2(4x^2 - 5x + 3)) - 1)/(2(-2(4x^2 - 5x + 3)) + 3), x = -2.1, and x = -2.0. Round your answer to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = (1(-5(3(-2|x + 3|)^2 + 1(-2|x + 3|) - 3) - 3) - 1)/(1(-5(3(-2|x + 3|)^2 + 1(-2|x + 3|) - 3) - 3) - 2) and g(x) = 2(-3sin(1π(2|x| + 3) - 1) + 3)^2 + 5(-3sin(1π(2|x| + 3) - 1) + 3) - 2 from x = 3.0 to 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) = 1|((1(2e^(2x) + 2) + 3)/(-1(2e^(2x) + 2) - 3)) - 2| and g(x) = 5(4x^2 + 3x - 1) + 5 between the vertical lines x = -0.9 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|((1(4x - 3) - 1)/(2(4x - 3) + 2)) + 2| + 3 and g(x) = (2(-3sin(1πx) - 2) + 1)/(-2(-3sin(1πx) - 2) + 1) from x = 1.3 to 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(-3|(-5x - 3) + 3| - 2) - 1)/(1(-3|(-5x - 3) + 3| - 2)) and g(x) = (-2(5x + 2) - 1)/(2(5x + 2) + 2) between the vertical lines x = -0.2 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) = 5(-1((-1(-3|x + 1| + 2) + 2)/(1(-3|x + 1| + 2)))^2 - 4((-1(-3|x + 1| + 2) + 2)/(1(-3|x + 1| + 2))) + 1) - 3 and g(x) = 2((-3(1x) + 1)/(-2(1x) + 3))^2 - 1((-3(1x) + 1)/(-2(1x) + 3)) - 5 between the vertical lines x = 1.1 and 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) = 5(4(-3|((1x + 2)/(-3x + 1)) + 3| + 2)^2 - 1) - 1 and g(x) = 5(4(-2|x - 1| + 3)^2 - 2(-2|x - 1| + 3)) + 2 from x = 0.5 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) = -2(-3(-1sin(1π((1x - 1)/(1x + 2))) - 2) - 5)^2 - 2(-3(-1sin(1π((1x - 1)/(1x + 2))) - 2) - 5) + 4 and g(x) = 1|(3((-2x - 1)/(2x))^2 - 3) - 3| - 2 from x = -1.0 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) = (2(-3(1(1cos(2πx)) + 3)^2 - 5(1(1cos(2πx)) + 3) + 4) + 3)/(-1(-3(1(1cos(2πx)) + 3)^2 - 5(1(1cos(2πx)) + 3) + 4) + 2), g(x) = (-2(-4(3x - 2)^2 + 5(3x - 2) + 5) - 1)/(2(-4(3x - 2)^2 + 5(3x - 2) + 5) - 1), x = 0.5, and x = 1.2. Round your answer to 1 decimal place.

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


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

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


[User]
Calculate the area enclosed between the functions f(x) = -3|(-1(-5((-2x - 2)/(-2x - 1)) - 2)^2 - 5(-5((-2x - 2)/(-2x - 1)) - 2) - 4)| - 1 and g(x) = -1e^(1(-2(-1x + 2)^2 - 3(-1x + 2))) - 2 from x = -1.4 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) = 3|((-3(5x) + 1)/(-1(5x) + 2)) - 2| - 2 and g(x) = 2sin(1π(-3x - 2) - 3) - 1 from x = -3.7 to x = -3.2. Round to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = (-2(-3(2(3|x - 2| - 1)^2 + 4(3|x - 2| - 1) + 5) + 5) + 3)/(-1(-3(2(3|x - 2| - 1)^2 + 4(3|x - 2| - 1) + 5) + 5) + 2), g(x) = 2|((3(-3x^2 - 5x - 3) + 1)/(-3(-3x^2 - 5x - 3) + 1))|, x = 1.6, 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) = (-3(-5(2cos(1πx - 1) - 2) - 5) + 1)/(3(-5(2cos(1πx - 1) - 2) - 5) + 1), g(x) = 2|((-1x + 2)/(-3x)) + 1| + 1, x = 2.6, 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) = 2|(-4(1((-3x - 1)/(-2x + 3)) + 5)^2 - 2(1((-3x - 1)/(-2x + 3)) + 5) - 5) - 2| - 3 and g(x) = 3|(1(-2cos(2πx + 3))^2 + 5(-2cos(2πx + 3))) - 3| + 3 between the vertical lines x = 1.0 and 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) = 5(2|((-1x + 2)/(1x)) - 2| + 1) - 3, g(x) = 4(-1sin(2πx) + 1)^2 + 1(-1sin(2πx) + 1) + 4, x = 0.5, and x = 1.0. Round your answer to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = -2(-1e^(1(3|x - 2| - 1)) + 3) - 4, g(x) = -5(-1sin(3πx + 1)) - 5, x = 1.3, 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(-1(2sin(3π(2x^2 - 2x) - 3) + 2) - 4) + 3)/(-2(-1(2sin(3π(2x^2 - 2x) - 3) + 2) - 4) - 1) and g(x) = (1(4(1x^2 + 3x - 3) + 5))/(1(4(1x^2 + 3x - 3) + 5) - 2) from x = -0.9 to x = -0.8. Round to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = (2(2(-1(2|x + 2| + 3)^2 + 3(2|x + 2| + 3) + 3) + 4) + 1)/(1(2(-1(2|x + 2| + 3)^2 + 3(2|x + 2| + 3) + 3) + 4) + 1) and g(x) = -2((1(-1cos(2πx + 3) + 3) + 3)/(2(-1cos(2πx + 3) + 3) + 1))^2 + 3((1(-1cos(2πx + 3) + 3) + 3)/(2(-1cos(2πx + 3) + 3) + 1)) - 4 between the vertical lines x = -2.6 and x = -1.4. Round to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = (3(-3(-1|(3x - 5) - 3| + 1)^2 - 2(-1|(3x - 5) - 3| + 1) + 4) - 3)/(-3(-3(-1|(3x - 5) - 3| + 1)^2 - 2(-1|(3x - 5) - 3| + 1) + 4) - 2), g(x) = (-2(-5(-3sin(2πx + 1))^2 - 5(-3sin(2πx + 1)) - 4) - 1)/(-2(-5(-3sin(2πx + 1))^2 - 5(-3sin(2πx + 1)) - 4) - 1), x = 2.7, and x = 3.5. 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) = 2cos(2π(-2((-1x + 1)/(2x + 1))) + 1) + 3, g(x) = (-1(-1x^2 - 4x - 2) - 2)/(-3(-1x^2 - 4x - 2) + 1), x = -3.2, 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) = (-1(-2|(-1(1x + 4)^2 - 5(1x + 4) - 2) - 2| + 1) + 1)/(-1(-2|(-1(1x + 4)^2 - 5(1x + 4) - 2) - 2| + 1) + 2) and g(x) = -1(-5(2|x + 2| - 3) + 5)^2 - 5(-5(2|x + 2| - 3) + 5) between the vertical lines x = -4.5 and x = -4.0. Round to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = (-2(3|(1(-4x)^2 - 5(-4x) - 2) - 2| - 2) - 2)/(-1(3|(1(-4x)^2 - 5(-4x) - 2) - 2| - 2)), g(x) = (-1(3|(3e^(1x) - 1) - 3| + 2) - 1)/(1(3|(3e^(1x) - 1) - 3| + 2)), x = -1.4, and x = 0.2. Round your answer to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = (1(-3sin(2π(-1(2x + 4)^2 + 2(2x + 4) - 3) - 1) - 3) + 1)/(-3(-3sin(2π(-1(2x + 4)^2 + 2(2x + 4) - 3) - 1) - 3) - 1) and g(x) = (-2(-1|(1x^2 + 1x + 1) - 1| + 1))/(-2(-1|(1x^2 + 1x + 1) - 1| + 1) + 1) from x = -2.2 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) = -3sin(3π(-1(5((-1x - 3)/(3x)) + 4)^2 - 1(5((-1x - 3)/(3x)) + 4) + 1) + 2), g(x) = 2|(2sin(1π(3x + 2) - 1) + 2) - 3| + 2, x = -0.3, and x = -0.19999999999999998. Round your answer to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = -2e^(-2(1(1|x + 2| + 3)^2 - 4(1|x + 2| + 3) + 2)) + 2 and g(x) = -4(-1cos(3πx - 2) - 1) - 1 between the vertical lines x = -1.3 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) = (2(-1(-2cos(3π(-2|x - 3|) - 2) + 3) - 2))/(2(-1(-2cos(3π(-2|x - 3|) - 2) + 3) - 2) - 1) and g(x) = -1|(4((1x + 2)/(-2x + 1)) - 4) - 2| + 3 between the vertical lines x = -0.3 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) = 3((-2(2x^2 - 1x + 4) - 3)/(-3(2x^2 - 1x + 4) + 4)) and g(x) = -3(2cos(3πx + 2) - 2) - 4 from x = -0.4 to x = -0.0. Round to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = 4((3(1(-2e^(-2x))^2 + 2(-2e^(-2x)) - 3) + 1)/(-3(1(-2e^(-2x))^2 + 2(-2e^(-2x)) - 3) + 4)) + 3, g(x) = 2(3cos(2π(1|x - 2| - 3) - 3) - 1)^2 - 5(3cos(2π(1|x - 2| - 3) - 3) - 1), x = -4.7, and x = -4.3. Round your answer to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = -1|(-1(1((-3x + 1)/(2x + 1))^2 - 5((-3x + 1)/(2x + 1)) - 4) + 3) - 2| + 2, g(x) = (3(-1(3|x| + 2) - 2) + 2)/(2(-1(3|x| + 2) - 2)), x = 1.2, 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) = -3sin(2π(3(1x + 1)^2 + 4(1x + 1) + 2) - 3) + 2, g(x) = (2(2x^2 + 4x + 1) + 2)/(-2(2x^2 + 4x + 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]
Determine the area of the region enclosed by the graphs of f(x) = 4((-1(2|(1x^2 + 2x + 1) - 3| + 1) + 3)/(1(2|(1x^2 + 2x + 1) - 3| + 1) - 2)) - 5 and g(x) = 5(-5((2x - 1)/(1x))^2 + 2((2x - 1)/(1x)) - 1) - 2 between the vertical lines x = -2.9 and x = -2.6. Round to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = (3(3(-1|(1e^(2x)) - 2| + 1) - 1) + 1)/(-2(3(-1|(1e^(2x)) - 2| + 1) - 1) - 3) and g(x) = (-2(3|(-4x + 2) + 1| + 1))/(-1(3|(-4x + 2) + 1| + 1) - 1) from x = 0.0 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) = -1sin(3π(-1(-2|x| + 1) + 4)) + 1 and g(x) = 3cos(1π(1x - 3) - 3) + 1 between the vertical lines x = -3.5 and x = -2.6. Round to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = (-1(-2|(2(-3x^2 - 2x + 1) + 2)| + 3) - 3)/(2(-2|(2(-3x^2 - 2x + 1) + 2)| + 3) - 3) and g(x) = (-2(3(3cos(1πx) - 2) + 2) - 2)/(-3(3(3cos(1πx) - 2) + 2) + 1) between the vertical lines x = -4.4 and x = -3.6. 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((-2(-1|(4x - 3)| - 1) + 3)/(3(-1|(4x - 3)| - 1) + 2))^2 + 3((-2(-1|(4x - 3)| - 1) + 3)/(3(-1|(4x - 3)| - 1) + 2)) - 5 and g(x) = -5((-3(-2|x + 1| + 1) - 3)/(-2(-2|x + 1| + 1) + 3))^2 - 4((-3(-2|x + 1| + 1) - 3)/(-2(-2|x + 1| + 1) + 3)) between the vertical lines x = -1.4 and 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) = 1cos(3π(-3(-1|x| - 2)^2 - 5(-1|x| - 2) - 3) - 3) + 1 and g(x) = 1(-2|x - 1| + 3) between the vertical lines x = 1.7 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) = -2(-2((2(-2|x + 1| - 1))/(1(-2|x + 1| - 1) - 3))^2 + 5((2(-2|x + 1| - 1))/(1(-2|x + 1| - 1) - 3)) + 2) + 4 and g(x) = (-2(-3|(-5x - 1) + 1|) + 2)/(3(-3|(-5x - 1) + 1|) + 2) between the vertical lines x = -0.1 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(3sin(2π(-2(3|x + 1| + 1)^2 - 5(3|x + 1| + 1)) - 2) + 1) - 3)/(-2(3sin(2π(-2(3|x + 1| + 1)^2 - 5(3|x + 1| + 1)) - 2) + 1) - 2) and g(x) = 3((-1(-1|x - 3|) + 3)/(3(-1|x - 3|) - 2)) - 3 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]
Determine the area of the region enclosed by the graphs of f(x) = -4(-2sin(2π(-5(-1|x + 1| + 2)^2 - 3) + 2) + 2) + 3 and g(x) = 2sin(2π(-3(5x - 3)^2 - 1(5x - 3) + 3) + 3) between the vertical lines x = 2.7 and x = 2.8000000000000003. Round to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = (-2(-5(3|(-4x + 2) + 2| - 1)^2 - 2(3|(-4x + 2) + 2| - 1) + 1) + 2)/(2(-5(3|(-4x + 2) + 2| - 1)^2 - 2(3|(-4x + 2) + 2| - 1) + 1)) and g(x) = 1|((-1(3e^(-2x) + 3) + 2)/(1(3e^(-2x) + 3) + 2)) - 1| between the vertical lines x = 1.0 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) = 3|(-1(-3((2x + 2)/(-1x - 2))^2 + 2((2x + 2)/(-1x - 2)) + 3) + 4) - 1| and g(x) = 3((3(2x^2 + 4) + 2)/(2(2x^2 + 4))) between the vertical lines x = -1.4 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|((3(3(1x^2 + 5x + 1) + 2) + 2)/(-1(3(1x^2 + 5x + 1) + 2) - 2)) + 2| - 1 and g(x) = 1(3|((-2x - 3)/(-1x + 3)) - 3| - 1)^2 + 4(3|((-2x - 3)/(-1x + 3)) - 3| - 1) + 4 from x = -0.5 to x = -0.4. Round to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = (-1(-2(-2(-1|x + 3| - 1))^2 - 2) - 1)/(-3(-2(-2(-1|x + 3| - 1))^2 - 2) - 2) and g(x) = 2|(1(4x^2 - 1x + 3) - 5)| - 2 from x = 0.6 to x = 1.0. Round to 1 decimal place.

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


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

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


[User]
Find the area of the region bounded by the curves f(x) = 2(-4(1|((2x + 3)/(2x)) - 1| + 1)^2 - 2(1|((2x + 3)/(2x)) - 1| + 1)) + 1, g(x) = 3(-1((-3x)/(2x - 1))^2 + 2((-3x)/(2x - 1)) - 4) - 1, x = 0.4, and x = 0.9. Round your answer to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = 1((1(4(3|x + 1| - 3) - 3) + 1)/(3(4(3|x + 1| - 3) - 3)))^2 + 2((1(4(3|x + 1| - 3) - 3) + 1)/(3(4(3|x + 1| - 3) - 3))) + 1 and g(x) = 2(-3cos(2π(-3x^2 - 5x + 5) + 1) - 2) + 2 from x = 4.4 to x = 4.5. 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|((2(-1sin(2πx - 1) - 3) + 3)/(1(-1sin(2πx - 1) - 3) + 1)) - 1|, g(x) = -2(2|x + 1| - 1) + 2, x = -2.0, and x = 0.3. Round your answer to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = -2((2(-2sin(3πx - 1) + 1) - 2)/(-1(-2sin(3πx - 1) + 1) - 1)) - 3 and g(x) = (3(-3|x + 3| - 3))/(-1(-3|x + 3| - 3) - 1) between the vertical lines x = -2.9 and x = -2.5. Round to 1 decimal place.

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


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

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


[User]
Find the area of the region bounded by the curves f(x) = -4((-3(-3|(1x + 4)| + 3) + 1)/(-1(-3|(1x + 4)| + 3) + 2))^2 - 1((-3(-3|(1x + 4)| + 3) + 1)/(-1(-3|(1x + 4)| + 3) + 2)) + 3, g(x) = -1|(1cos(3π(3x + 4) - 1) + 1) + 1| + 2, 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) = -3|((-1(1x^2 - 2x) + 1)/(2(1x^2 - 2x) + 2)) - 2| + 1, g(x) = 3e^(2((2x + 1)/(-1x - 1))) - 2, x = 0.5, and x = 1.5. Round your answer to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = -1|(-4(-2cos(2π(-2x^2 - 2x) - 3) + 3) + 4) - 2| - 3 and g(x) = -2|(-1((-3x + 1)/(2x + 3)) + 2)| + 2 from x = -3.1 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(-5(2sin(1πx + 3) + 2)^2 + 2) + 1 and g(x) = (-3(-2sin(2πx - 2) - 3) + 3)/(-2(-2sin(2πx - 2) - 3) + 3) from x = 4.3 to 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) = 1|((1(1x + 5) + 2)/(2(1x + 5) + 2)) - 2| - 3 and g(x) = (3(1|x + 2| - 1) - 1)/(-3(1|x + 2| - 1) + 2) between the vertical lines x = -4.1 and x = 0.2. Round to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = 2|(-2e^(2((2(-2x + 3) + 3)/(1(-2x + 3)))) - 1) - 2| - 1, g(x) = -1((3(2cos(3πx - 3) + 1))/(-3(2cos(3πx - 3) + 1) + 4)) - 1, x = 3.1, and x = 3.5. 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) = 5(-3(-3sin(2π(3|x| + 1) - 1) + 3)^2 + 5(-3sin(2π(3|x| + 1) - 1) + 3) + 1) + 3, g(x) = 1((-1(2cos(3πx - 3) + 1) + 1)/(3(2cos(3πx - 3) + 1) - 2))^2 - 5((-1(2cos(3πx - 3) + 1) + 1)/(3(2cos(3πx - 3) + 1) - 2)) + 5, x = 4.5, and x = 4.7. 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(2(-2|(-1x^2 + 1x + 2) - 2| - 2) - 5) - 1)/(-2(2(-2|(-1x^2 + 1x + 2) - 2| - 2) - 5) - 2), g(x) = -4(2sin(3π(-2|x - 3| - 1) + 3))^2 + 4(2sin(3π(-2|x - 3| - 1) + 3)) + 3, 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) = -1|(-2cos(1π(-3x + 4) + 1) - 3) - 2| - 3 and g(x) = -1((1x + 3)/(3x))^2 - 1((1x + 3)/(3x)) + 5 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]
Calculate the area enclosed between the functions f(x) = 2(-3cos(3π((1(1|x + 1| - 2) + 3)/(2(1|x + 1| - 2) + 3)) + 2) + 1)^2 + 1(-3cos(3π((1(1|x + 1| - 2) + 3)/(2(1|x + 1| - 2) + 3)) + 2) + 1) + 5 and g(x) = 1(3|(2cos(2πx + 3) + 3) - 1| + 3)^2 + 2(3|(2cos(2πx + 3) + 3) - 1| + 3) - 3 from x = -0.9 to x = -0.1. Round to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = -3(4((1x + 1)/(3x - 1))^2 - 3((1x + 1)/(3x - 1))) + 3 and g(x) = 3|(3x^2 + 2x - 2) + 1| + 2 between the vertical lines x = -1.1 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) = 3e^(-1(-3|(-1x^2 + 2x + 4) + 2| - 1)) - 2 and g(x) = 3|(-2x - 5) - 1| - 2 between the vertical lines x = 3.5 and 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) = -1e^(2(-4(1x + 1)^2 - 3(1x + 1) + 4)) + 3, g(x) = -2(-3e^(1x) + 3) - 2, x = -0.4, 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|(1(-4((3x + 2)/(3x - 2))^2 + 2((3x + 2)/(3x - 2)) - 1) + 2) - 3| - 3 and g(x) = -1(-3(2cos(3πx + 3) - 3) - 4)^2 + 2(-3(2cos(3πx + 3) - 3) - 4) + 2 from x = -3.8 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) = 2sin(1π((-2(-2|x| + 2) + 3)/(2(-2|x| + 2)))) + 2 and g(x) = 3(1|x - 2| + 1) between the vertical lines x = 1.9 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) = -1(1|(-1x - 2) + 2| + 2)^2 + 1(1|(-1x - 2) + 2| + 2), g(x) = -2(-3x + 2)^2 + 3(-3x + 2) - 2, x = 0.1, and x = 0.9. 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) = (3(-5(1|(5x^2 + 5) - 3| - 2) + 2))/(-1(-5(1|(5x^2 + 5) - 3| - 2) + 2) + 3) and g(x) = 1(2|((-1x + 3)/(1x - 2)) + 1| - 2) - 2 from x = 0.8 to x = 4.0. Round to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = (-2(5(1(-1|x + 3| - 3)^2 + 3(-1|x + 3| - 3) - 5) - 3) - 1)/(2(5(1(-1|x + 3| - 3)^2 + 3(-1|x + 3| - 3) - 5) - 3) - 3), g(x) = -4(3cos(1π(-2|x - 2| - 2) + 1) + 2)^2 + 4, x = 2.9, 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) = (3(1(-5(1|x - 1| - 2)^2 - 1(1|x - 1| - 2) + 1) + 1) - 3)/(1(1(-5(1|x - 1| - 2)^2 - 1(1|x - 1| - 2) + 1) + 1) - 3) and g(x) = -2|(2e^(-1((2x - 2)/(1x))) + 3) - 3| + 1 between the vertical lines x = -1.5 and x = -0.3. Round to 1 decimal place.

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


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

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


[User]
Calculate the area enclosed between the functions f(x) = -5((-1(-2|x - 2|) - 1)/(-1(-2|x - 2|) - 2)) - 3 and g(x) = -2sin(1π(2|x| + 3) - 2) + 1 from x = 1.3 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) = 1|(-4(-2((3x - 3)/(-3x - 1)) - 1)^2 - 1(-2((3x - 3)/(-3x - 1)) - 1) - 5) - 3| + 3 and g(x) = 1|(-1((-3x - 1)/(3x - 2)) - 1) + 1| - 1 from x = 0.6 to x = 0.7. Round to 1 decimal place.

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


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

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = (1(2(3e^(-1(4x + 3)) - 2)^2 - 5(3e^(-1(4x + 3)) - 2) - 2) + 3)/(-1(2(3e^(-1(4x + 3)) - 2)^2 - 5(3e^(-1(4x + 3)) - 2) - 2) + 2) and g(x) = 2sin(1π(4(1|x + 1| + 3)^2 + 1(1|x + 1| + 3) + 4) - 2) - 1 between the vertical lines x = 4.5 and 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) = -3|(1((1(5x - 5) + 2)/(-2(5x - 5) - 1))^2 + 4((1(5x - 5) + 2)/(-2(5x - 5) - 1)) + 1) - 2| + 2 and g(x) = 1sin(1π((2(-2|x - 2| + 1) + 3)/(3(-2|x - 2| + 1) - 1)) + 1) - 3 from x = 0.5 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) = -3(-3((2x - 3)/(-3x)) + 1)^2 + 3(-3((2x - 3)/(-3x)) + 1) + 5, g(x) = (-2(-2sin(3πx - 3) + 2) + 1)/(2(-2sin(3πx - 3) + 2) + 3), x = 0.8, 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) = (-1(-2|(3(-3x^2 + 2x + 2) - 5) - 2| + 2) - 2)/(2(-2|(3(-3x^2 + 2x + 2) - 5) - 2| + 2) + 1), g(x) = (3(1(-2x + 3)^2 + 2(-2x + 3) - 2) - 1)/(3(1(-2x + 3)^2 + 2(-2x + 3) - 2)), x = 1.1, and x = 2.9. 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) = 2cos(3π(-3((-2x - 3)/(-1x - 3)) - 1)) and g(x) = 4(3sin(2πx) + 2) + 5 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]
Determine the area of the region enclosed by the graphs of f(x) = -3(4(2|((-2x - 1)/(2x + 3)) - 2| - 1) - 5)^2 - 2(4(2|((-2x - 1)/(2x + 3)) - 2| - 1) - 5) + 4 and g(x) = -4(-2|(1sin(1πx - 2) + 2)| + 1)^2 - 5(-2|(1sin(1πx - 2) + 2)| + 1) - 3 between the vertical lines x = -1.2 and x = -1.1. Round to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = -1((-1(-3x^2 + 2x + 3) - 1)/(-1(-3x^2 + 2x + 3) + 2)) - 4 and g(x) = -4(5x^2 - 1x) - 1 between the vertical lines x = 0.7 and x = 0.9. Round to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = 2|(-3((2(2x + 1) + 3)/(-1(2x + 1)))^2 + 5((2(2x + 1) + 3)/(-1(2x + 1))) + 5) + 2| - 2 and g(x) = 4((3(-3e^(2x) + 1) - 3)/(3(-3e^(2x) + 1) + 2))^2 - 4((3(-3e^(2x) + 1) - 3)/(3(-3e^(2x) + 1) + 2)) - 2 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) = (2(-2(3|(1x^2 - 1x - 2)| + 3) - 1) - 1)/(-3(-2(3|(1x^2 - 1x - 2)| + 3) - 1) - 2) and g(x) = (-1(-3(-3|x - 1| - 2) - 3) - 3)/(2(-3(-3|x - 1| - 2) - 3) + 2) from x = 0.9 to 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(3e^(2(1|x| - 1))) + 1)/(-2(3e^(2(1|x| - 1)))) and g(x) = (3(4x^2 - 4x - 5) + 2)/(3(4x^2 - 4x - 5) - 2) from x = -0.7 to 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) = -3|((3(1x^2 - 4) + 3)/(-3(1x^2 - 4) + 4)) + 3| + 1 and g(x) = -3((-1x + 2)/(-1x - 1)) + 4 from x = -3.1 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) = 5(1((3x + 1)/(2x - 1))^2 - 5((3x + 1)/(2x - 1)) + 4) - 4 and g(x) = 5(4x + 3)^2 + 1(4x + 3) + 4 between the vertical lines x = 0.1 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(-4(-3|x + 2| + 1) + 3) + 1)/(2(-4(-3|x + 2| + 1) + 3) - 1) and g(x) = (-2(5x^2 + 1x + 3) - 1)/(1(5x^2 + 1x + 3) + 3) from x = -2.1 to x = -1.9. Round to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = 1(2|((-1(5x - 4) + 3)/(-2(5x - 4) + 1)) - 2|)^2 + 3(2|((-1(5x - 4) + 3)/(-2(5x - 4) + 1)) - 2|) + 3 and g(x) = 5(-3cos(1π((1x - 1)/(-2x - 2)) - 2) - 2)^2 + 2(-3cos(1π((1x - 1)/(-2x - 2)) - 2) - 2) + 2 from x = -1.2 to x = -1.0999999999999999. 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(4(-3cos(2π((-2x - 3)/(-2x + 1)) - 2) + 3) - 4)^2 + 5(4(-3cos(2π((-2x - 3)/(-2x + 1)) - 2) + 3) - 4) - 5 and g(x) = 2((1(-1sin(2πx + 3) - 2) - 3)/(-3(-1sin(2πx + 3) - 2) - 2))^2 + 5((1(-1sin(2πx + 3) - 2) - 3)/(-3(-1sin(2πx + 3) - 2) - 2)) - 3 between the vertical lines x = 1.3 and x = 1.4000000000000001. 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(5x^2 - 5x - 4) - 5) + 1| - 1) + 2)/(3(2|(1(5x^2 - 5x - 4) - 5) + 1| - 1) - 2) and g(x) = (2(2e^(1(2x))) + 2)/(3(2e^(1(2x))) - 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]
Calculate the area enclosed between the functions f(x) = -2|(-3e^(-1(-4((1x + 2)/(2x - 1))^2 + 2((1x + 2)/(2x - 1)) - 5)) - 1) + 1| + 3 and g(x) = 4(-5((-2x + 2)/(-3x - 3))^2 - 1((-2x + 2)/(-3x - 3)) - 4) + 4 from x = -1.2 to x = -0.9. Round to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = 1((-1(1|(-1x + 2) - 3|))/(3(1|(-1x + 2) - 3|) - 2))^2 - 2((-1(1|(-1x + 2) - 3|))/(3(1|(-1x + 2) - 3|) - 2)) - 4 and g(x) = -4(-3|(1x + 5)| + 2)^2 + 3(-3|(1x + 5)| + 2) + 1 from x = -4.8 to x = -4.1. 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(-5x^2 + 1x - 5) + 1)/(-2(-5x^2 + 1x - 5) - 2)) - 1| + 3 and g(x) = 1|(2sin(3πx - 3) - 2) - 2| - 1 from x = -4.7 to x = -4.4. 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(4(2sin(2πx + 1))^2 - 4(2sin(2πx + 1)) + 5) - 1)/(-1(4(2sin(2πx + 1))^2 - 4(2sin(2πx + 1)) + 5) - 3) and g(x) = 3cos(3π(1|x - 2| - 2) - 1) - 3 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]
Calculate the area enclosed between the functions f(x) = 1|((-2(-2sin(3πx + 1) + 3) + 3)/(-1(-2sin(3πx + 1) + 3) + 2)) + 1| - 2 and g(x) = -1(3x)^2 - 2(3x) + 4 from x = 0.2 to 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) = (2(-2(3sin(1πx + 3) - 1) + 2) - 2)/(1(-2(3sin(1πx + 3) - 1) + 2) - 3), g(x) = 2|(-2sin(1πx + 3) + 2) + 1| + 1, x = 1.0, and x = 2.0. Round your answer to 1 decimal place.

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


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

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


[User]
Find the area of the region bounded by the curves f(x) = -5((3(-3|(1x^2 - 4x - 5) - 1| + 1) - 1)/(-1(-3|(1x^2 - 4x - 5) - 1| + 1) - 1)), g(x) = -3|(-5(2cos(1πx + 1) + 1) - 4) + 2| + 1, x = -1.2, 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) = 3(3sin(1π((2x)/(1x + 1)) - 1)) - 4 and g(x) = (1(-3x^2 - 3x + 4) - 2)/(-1(-3x^2 - 3x + 4) + 2) from x = -0.9 to x = -0.8. Round to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = 4((2(-2|x + 2| + 3) + 1)/(2(-2|x + 2| + 3))) - 5 and g(x) = 1cos(1π(-4x + 1) - 3) + 1 from x = -2.8 to x = -2.7. Round to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = 1(-4(-2|x - 2| - 2)^2) + 1 and g(x) = -2e^(-2((2x + 3)/(-2x - 2))) - 3 from x = 1.7 to 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) = (-2(4(-1x - 3)^2 - 4(-1x - 3)) - 1)/(-1(4(-1x - 3)^2 - 4(-1x - 3)) + 2), g(x) = -3(-3cos(3πx + 2) - 3) + 2, x = 4.1, and x = 4.199999999999999. Round your answer to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = (1(2|(-1e^(1x) - 1) - 2| - 3) - 1)/(-2(2|(-1e^(1x) - 1) - 2| - 3) - 3) and g(x) = -3|(-3sin(2πx + 1) + 2)| between the vertical lines x = -1.0 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(2|(-5x^2 - 3x + 4) + 1| - 1) - 2 and g(x) = 2sin(1π(5x - 5) - 3) + 3 from x = -1.0 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) = -2(3((2x + 2)/(2x + 3))^2 + 1) + 1, g(x) = -1e^(1(-1x + 2)) - 3, x = -1.4, 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) = -1(-3|(-3sin(1πx + 1) + 3) + 3| + 3) - 5 and g(x) = 2|(-2cos(2πx + 3) - 2) - 2| + 3 between the vertical lines x = 3.5 and x = 4.7. 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(-5(2cos(2π((3x + 2)/(1x + 3)) - 2) + 1)^2 + 3(2cos(2π((3x + 2)/(1x + 3)) - 2) + 1)) - 4 and g(x) = 2e^(-2(1((2x - 2)/(1x + 1))^2 - 2((2x - 2)/(1x + 1)) + 3)) - 2 between the vertical lines x = -2.2 and 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) = -1((-2(-2(-2|x - 2| + 2) - 1))/(-1(-2(-2|x - 2| + 2) - 1) - 1))^2 + 5((-2(-2(-2|x - 2| + 2) - 1))/(-1(-2(-2|x - 2| + 2) - 1) - 1)) + 4, g(x) = (-3(-2|(-4x + 1) - 1| + 2) + 2)/(-2(-2|(-4x + 1) - 1| + 2) - 1), x = 0.3, and x = 0.8. 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) = -2sin(3π(-2|((3x + 3)/(2x - 1)) + 2| - 1) + 1), g(x) = 2sin(2π(1|x| + 3) + 1), x = 1.3, and x = 1.4. Round your answer to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = (-2(-1e^(-1(-2|x| + 1)) + 2) - 1)/(-1(-1e^(-1(-2|x| + 1)) + 2) + 2), g(x) = (1(1x - 3) + 3)/(2(1x - 3) + 3), x = 0.8, and x = 2.1. Round your answer to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = -1(2|(1sin(3πx - 1) - 1)|)^2 - 1(2|(1sin(3πx - 1) - 1)|) + 2, g(x) = 1e^(-1(3|x + 3| - 3)) - 3, x = -0.9, and x = -0.6. Round your answer to 1 decimal place.

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

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[User]
Find the area of the region bounded by the curves f(x) = 2(-1|(5(2sin(1πx + 3) - 3) - 2) + 2| + 2)^2 - 5(-1|(5(2sin(1πx + 3) - 3) - 2) + 2| + 2), g(x) = 5((-3(4x - 1) - 3)/(3(4x - 1) - 1))^2 + 1((-3(4x - 1) - 3)/(3(4x - 1) - 1)) - 1, x = 0.3, and x = 0.4. 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(-2sin(1π(-2x - 2) - 3) + 2)^2 + 2(-2sin(1π(-2x - 2) - 3) + 2) - 1, g(x) = (-3(-2|x + 2| + 1))/(-1(-2|x + 2| + 1) + 3), x = 2.4, and x = 3.1. Round your answer to 1 decimal place.

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

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[User]
Calculate the area enclosed between the functions f(x) = 4(3(-2|((-3x + 3)/(3x - 1)) - 2| + 2)^2 + 5(-2|((-3x + 3)/(3x - 1)) - 2| + 2) - 1) + 5 and g(x) = -1e^(-1(1|((2x - 2)/(1x + 1)) + 1| - 1)) - 3 from x = 0.7 to x = 0.8. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = -3((3(5(-3|x - 1|) + 1) + 2)/(-1(5(-3|x - 1|) + 1) - 3))^2 + 4((3(5(-3|x - 1|) + 1) + 2)/(-1(5(-3|x - 1|) + 1) - 3)) + 4 and g(x) = -4(-3cos(2π((1x - 1)/(-1x - 2)) + 3) + 1) - 3 from x = 0.8 to x = 1.2. Round to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = -2(-2e^(1((-1(3|x + 3| + 1) - 2)/(-2(3|x + 3| + 1) - 2))) + 1)^2 + 2(-2e^(1((-1(3|x + 3| + 1) - 2)/(-2(3|x + 3| + 1) - 2))) + 1) + 5 and g(x) = (2(2sin(2π(4x^2 + 1x + 1) - 3) + 1) - 3)/(-1(2sin(2π(4x^2 + 1x + 1) - 3) + 1) + 2) between the vertical lines x = 2.9 and x = 3.0. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = -2((1(-1|x + 3| + 3) - 1)/(-1(-1|x + 3| + 3) - 3)) + 3 and g(x) = -4(3|x + 2| - 2) from x = -2.4 to x = -1.6. Round to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = 1(1sin(2π(1x + 1) + 3) + 3)^2 + 4(1sin(2π(1x + 1) + 3) + 3) - 5, g(x) = (3(-1cos(1πx)) - 1)/(-1(-1cos(1πx))), x = 1.5, and x = 2.5. Round your answer to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = -2|(2e^(1((1(-5x^2 + 4x - 3) + 3)/(-3(-5x^2 + 4x - 3) + 2))) - 1) + 1| + 1, g(x) = -1|(1(-3x - 1)^2 + 2(-3x - 1) + 2) - 3| + 3, x = -0.9, and x = 0.9. 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(-2(2|x - 3| - 3)^2 - 3(2|x - 3| - 3) + 5) - 2)/(-3(-2(2|x - 3| - 3)^2 - 3(2|x - 3| - 3) + 5) + 1) and g(x) = 5(1|x + 2| + 3) + 2 between the vertical lines x = 1.0 and x = 2.7. Round to 1 decimal place.

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

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[User]
Calculate the area enclosed between the functions f(x) = (-3(-5(1|(2e^(1x)) + 3| + 3)^2 + 2(1|(2e^(1x)) + 3| + 3) - 5) + 3)/(1(-5(1|(2e^(1x)) + 3| + 3)^2 + 2(1|(2e^(1x)) + 3| + 3) - 5)) and g(x) = -2|((-1(-4x + 1) - 2)/(2(-4x + 1) + 2)) - 2| + 1 from x = 0.5 to x = 0.8. Round to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = -3|(1((1x - 2)/(1x - 3))^2 + 1((1x - 2)/(1x - 3)) + 1) - 1| + 3, g(x) = 1(-5x + 4)^2 + 2(-5x + 4) - 4, x = 0.6, and x = 1.5. Round your answer to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = 2|(1sin(3π(-2(5x - 4)^2 - 5(5x - 4) + 2) - 2)) - 2| - 2, g(x) = -3cos(2π(-1|(1x^2 - 4x - 4) + 1| + 1) + 2), x = -4.8, and x = -4.7. Round your answer to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = -1(1|((1x + 2)/(-1x)) + 3| - 3)^2 + 3(1|((1x + 2)/(-1x)) + 3| - 3) + 5 and g(x) = -4(3cos(2πx - 3) - 3) + 4 from x = -1.6 to x = -1.4. Round to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = -5((3(3cos(1π(2|x - 3| + 3) + 1)))/(3(3cos(1π(2|x - 3| + 3) + 1)) + 3)) + 2, g(x) = -2(-3|((-2x - 2)/(-3x - 3)) - 2| + 2), x = -0.1, 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) = -4(-3sin(1π(-3|x - 2| + 2) + 3)) + 5 and g(x) = (-1(1cos(1πx - 2) + 3) - 1)/(3(1cos(1πx - 2) + 3)) from x = -2.6 to x = -2.4. Round to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = -2(1e^(-1((-1x + 2)/(-3x + 4))) + 2)^2 + 4(1e^(-1((-1x + 2)/(-3x + 4))) + 2) - 4, g(x) = -3|(-3sin(2πx - 1) - 1) - 2| - 2, x = 2.7, and x = 3.1. 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) = -3cos(2π((3(3|x - 1| - 2) - 1)/(2(3|x - 1| - 2) + 1))) and g(x) = -3(1|x| + 1) + 1 between the vertical lines x = 0.2 and x = 0.30000000000000004. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = (-1(-3(3|(-3x^2 - 4x + 1) + 3| - 2)) - 2)/(-2(-3(3|(-3x^2 - 4x + 1) + 3| - 2)) + 1) and g(x) = -2(2|((2x)/(-3x + 1)) + 2|) - 5 from x = -2.1 to x = 0.6. Round to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = 4((2(1|(4x - 1) + 3|))/(2(1|(4x - 1) + 3|) - 1))^2 + 5 and g(x) = 1((-2(2x - 2) - 2)/(-3(2x - 2)))^2 + 4((-2(2x - 2) - 2)/(-3(2x - 2))) + 1 between the vertical lines x = 1.0 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) = -5(-3(2sin(2πx + 3) - 2) - 4)^2 - 5(-3(2sin(2πx + 3) - 2) - 4) - 2 and g(x) = -2(1e^(-1x) - 3) - 2 between the vertical lines x = -1.1 and x = -1.0. Round to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = -3sin(1π(1|((-2x + 3)/(-2x - 2)) - 3| - 3) - 2) - 2 and g(x) = 2sin(2π(1x - 5) + 3) between the vertical lines x = -0.8 and x = -0.7. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = 2(3((3(3sin(3πx + 1)) - 3)/(-2(3sin(3πx + 1)) + 3))^2 + 3((3(3sin(3πx + 1)) - 3)/(-2(3sin(3πx + 1)) + 3)) + 2) - 4 and g(x) = (-2(-2|(3x^2 + 2x)| - 2))/(-3(-2|(3x^2 + 2x)| - 2) - 2) from x = -3.1 to x = -3.0. Round to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = -4((2(1cos(2π(-4x)) - 1))/(-1(1cos(2π(-4x)) - 1) - 3))^2 - 5((2(1cos(2π(-4x)) - 1))/(-1(1cos(2π(-4x)) - 1) - 3)) - 1, g(x) = -5((-3(3sin(3πx + 2) + 2) - 1)/(-3(3sin(3πx + 2) + 2) - 2)) - 4, x = 1.2, and x = 1.3. Round your answer to 1 decimal place.

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