[User]
Calculate the area enclosed between the functions f(x) = -4((2((3(-1x^2 + 2x - 2) - 3)/(-2(-1x^2 + 2x - 2) - 3)) + 1)/(3((3(-1x^2 + 2x - 2) - 3)/(-2(-1x^2 + 2x - 2) - 3)) - 2))^2 - 2((2((3(-1x^2 + 2x - 2) - 3)/(-2(-1x^2 + 2x - 2) - 3)) + 1)/(3((3(-1x^2 + 2x - 2) - 3)/(-2(-1x^2 + 2x - 2) - 3)) - 2)) - 3 and g(x) = -5(-5(-2|x - 3|)^2 - 3(-2|x - 3|) + 1) + 1 from x = 3.0 to x = 3.1. Round to 1 decimal place.

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

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = -1(1e^(-2(-5(3x^2 + 2x - 1)^2 - 4(3x^2 + 2x - 1) + 5)) - 3) + 5 and g(x) = (2(-3|(3x^2 + 1x + 3) + 3| - 3) - 2)/(1(-3|(3x^2 + 1x + 3) + 3| - 3) - 3) between the vertical lines x = -1.2 and x = 0.5. Round to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = (1(5(3((2x)/(2x - 1))^2 + 2((2x)/(2x - 1)) - 3)^2 - 4(3((2x)/(2x - 1))^2 + 2((2x)/(2x - 1)) - 3) - 1) + 2)/(2(5(3((2x)/(2x - 1))^2 + 2((2x)/(2x - 1)) - 3)^2 - 4(3((2x)/(2x - 1))^2 + 2((2x)/(2x - 1)) - 3) - 1) + 1) and g(x) = -3|(-2(5x^2 - 1x - 2)^2 - 3(5x^2 - 1x - 2) - 5) + 2| from x = -1.2 to x = 0.3. Round to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = 5(-1((-1(3|x - 3| - 2) - 3)/(1(3|x - 3| - 2) - 3)) + 4) + 1, g(x) = 2|((3(-3|x - 1| + 2) + 2)/(-2(-3|x - 1| + 2) - 3)) - 3| - 1, x = 2.3, and x = 4.1. 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) = -1((1(2sin(2π((3x)/(1x + 1)) - 1) - 3) - 2)/(-1(2sin(2π((3x)/(1x + 1)) - 1) - 3) - 1)) and g(x) = 2|((-2(3x^2 - 5x + 3) - 3)/(-2(3x^2 - 5x + 3) + 3)) - 1| + 3 between the vertical lines x = -1.2 and x = -1.0999999999999999. 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(-4x^2 - 1x - 2) - 2)^2 + 5(1(-4x^2 - 1x - 2) - 2) + 4))/(1(-1(1(-4x^2 - 1x - 2) - 2)^2 + 5(1(-4x^2 - 1x - 2) - 2) + 4) + 1) and g(x) = -2|(-1|(-1|x - 2|) + 1| - 1) + 3| + 2 from x = 0.5 to x = 1.5. Round to 1 decimal place.

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


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

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


[User]
Find the area of the region bounded by the curves f(x) = -5(-1(4(2x^2 + 2x - 1) + 1)^2 + 4(4(2x^2 + 2x - 1) + 1) + 4) + 4, g(x) = 3(-3sin(1π(-1x + 5) - 2) - 2) - 4, x = -1.6, and x = -1.2. Round your answer to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = (-1((1((1(-1x^2 + 1x - 1) + 1)/(2(-1x^2 + 1x - 1) - 3)) - 3)/(1((1(-1x^2 + 1x - 1) + 1)/(2(-1x^2 + 1x - 1) - 3)) + 1)) - 3)/(-3((1((1(-1x^2 + 1x - 1) + 1)/(2(-1x^2 + 1x - 1) - 3)) - 3)/(1((1(-1x^2 + 1x - 1) + 1)/(2(-1x^2 + 1x - 1) - 3)) + 1)) - 2), g(x) = -2|(1e^(1((3x + 3)/(-2x))) - 1) - 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]
Find the area of the region bounded by the curves f(x) = 2((1(-2(2sin(2πx + 3) - 3) - 1) - 2)/(-1(-2(2sin(2πx + 3) - 3) - 1))) - 4, g(x) = -4(-3e^(2((2x - 2)/(-1x + 2))))^2 - 2(-3e^(2((2x - 2)/(-1x + 2)))) - 4, x = 3.9, 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(1(4((3x - 2)/(2x - 1))^2 + 1((3x - 2)/(2x - 1)) - 2) - 5) + 2)/(2(1(4((3x - 2)/(2x - 1))^2 + 1((3x - 2)/(2x - 1)) - 2) - 5)), g(x) = 3cos(2π(-1|(3x + 4) - 3| - 3) - 3) + 1, x = -0.0, and x = 0.1. Round your answer to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = 3|(3cos(2π(1(-1x^2 + 4)^2 + 5(-1x^2 + 4) - 4) + 3) + 2) - 1| and g(x) = 5(1|(3|x - 1| - 3) + 3| - 2) + 5 from x = 2.0 to x = 2.1. Round to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = (3(-3(-1|(-3x^2 - 4x - 1) - 2|)^2 - 2(-1|(-3x^2 - 4x - 1) - 2|) - 3) + 1)/(-1(-3(-1|(-3x^2 - 4x - 1) - 2|)^2 - 2(-1|(-3x^2 - 4x - 1) - 2|) - 3) + 2), g(x) = (-1(-1|(3|x| + 3) - 2| + 3) + 3)/(-3(-1|(3|x| + 3) - 2| + 3)), x = -0.5, 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) = (2(1|(-1(-3e^(1x) - 3)^2 + 3(-3e^(1x) - 3) - 4) - 2| + 2) - 1)/(1(1|(-1(-3e^(1x) - 3)^2 + 3(-3e^(1x) - 3) - 4) - 2| + 2)) and g(x) = 4(1|(2x - 5) - 1| - 1) - 2 between the vertical lines x = 2.0 and x = 4.0. 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(1|(2x + 3)| - 3) + 2)/(-3(1|(2x + 3)| - 3) + 4))^2 + 5((3(1|(2x + 3)| - 3) + 2)/(-3(1|(2x + 3)| - 3) + 4)) + 3 and g(x) = (1(2cos(3π(1x^2 + 2) - 3) - 1) + 2)/(-1(2cos(3π(1x^2 + 2) - 3) - 1) - 1) between the vertical lines x = -2.6 and x = -2.5. Round to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = (-3(3|((-1(-3x + 5) + 3)/(-3(-3x + 5) - 1)) - 1| - 1) + 3)/(-1(3|((-1(-3x + 5) + 3)/(-3(-3x + 5) - 1)) - 1| - 1) + 2) and g(x) = -3(3cos(3π(4x + 5) - 1) - 3)^2 - 1(3cos(3π(4x + 5) - 1) - 3) - 1 from x = -1.4 to x = -1.2. Round to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = 2(-2|(-5(-3sin(1πx + 2) + 2)^2 - 4(-3sin(1πx + 2) + 2) + 3)|)^2 - 3 and g(x) = 1|((-3(4x^2 + 4x - 4) - 2)/(-2(4x^2 + 4x - 4) + 3)) + 3| + 2 from x = -3.8 to x = -3.6999999999999997. 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((-1x - 3)/(1x + 2)) - 1)/(-1((-1x - 3)/(1x + 2)) + 2)) - 2|) + 4 and g(x) = (2(2|(2cos(2πx + 3) - 2) - 2| + 3) + 2)/(1(2|(2cos(2πx + 3) - 2) - 2| + 3) - 3) 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]
Determine the area of the region enclosed by the graphs of f(x) = -3|(1|((-2(-1x^2 - 4x - 5))/(2(-1x^2 - 4x - 5) + 3))| - 3) - 3| and g(x) = -2(-3e^(2(-3x^2 - 1x + 1)) - 1)^2 + 4(-3e^(2(-3x^2 - 1x + 1)) - 1) + 1 between the vertical lines x = -2.8 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) = 1((1((-1((-2x + 3)/(2x - 1)))/(1((-2x + 3)/(2x - 1)) - 3)) - 2)/(2((-1((-2x + 3)/(2x - 1)))/(1((-2x + 3)/(2x - 1)) - 3))))^2 + 2((1((-1((-2x + 3)/(2x - 1)))/(1((-2x + 3)/(2x - 1)) - 3)) - 2)/(2((-1((-2x + 3)/(2x - 1)))/(1((-2x + 3)/(2x - 1)) - 3)))) - 4 and g(x) = 3((-3(-1e^(-1x) - 3) + 2)/(-2(-1e^(-1x) - 3)))^2 + 1((-3(-1e^(-1x) - 3) + 2)/(-2(-1e^(-1x) - 3))) + 3 from x = -0.9 to x = 1.2. Round to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = (-1(-2(2(-4x^2 + 1x + 3) - 2) + 4) - 3)/(-3(-2(2(-4x^2 + 1x + 3) - 2) + 4) - 1), g(x) = (2((3(-1|x - 1| - 3) - 3)/(-1(-1|x - 1| - 3) - 1)) - 1)/(3((3(-1|x - 1| - 3) - 3)/(-1(-1|x - 1| - 3) - 1))), x = -0.5, 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) = 5(-1|(2|((-1x + 1)/(-1x - 3)) - 3| + 1) - 3| + 1) + 4, g(x) = 1sin(3π((-1((-1x + 3)/(-1x + 2)) + 3)/(-2((-1x + 3)/(-1x + 2)) - 2))) + 1, x = -4.8, and x = -4.1. Round your answer to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = -3(1|(1cos(2π((2x - 2)/(1x - 2)) + 2))| - 1)^2 + 2(1|(1cos(2π((2x - 2)/(1x - 2)) + 2))| - 1) + 3 and g(x) = (1(5(2|x - 3| + 3)^2 + 5(2|x - 3| + 3) - 1))/(-2(5(2|x - 3| + 3)^2 + 5(2|x - 3| + 3) - 1) - 2) between the vertical lines x = 1.9 and x = 2.0. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = 3|(-2e^(2(-2|((3x + 1)/(-2x + 3)) - 2| + 1))) + 3| and g(x) = (3(2(1e^(-2x) + 1) + 5) - 1)/(2(2(1e^(-2x) + 1) + 5) - 3) from x = 0.6 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) = 3sin(1π((-2(1(-2|x - 2| - 3) + 2) + 1)/(-2(1(-2|x - 2| - 3) + 2) + 3)) - 2) + 1 and g(x) = (-2(5(1|x - 1| + 3)) - 1)/(-2(5(1|x - 1| + 3)) + 3) from x = 1.8 to x = 2.2. Round to 1 decimal place.

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


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

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[User]
Find the area of the region bounded by the curves f(x) = 3(2(-1(-1|x - 2| + 3)^2 - 3(-1|x - 2| + 3) + 3) - 3) + 5, g(x) = -2e^(-1(-5(3|x - 2| - 3) + 1)) - 3, x = 0.8, and x = 3.2. Round your answer to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = 1|(-2e^(1((3(1|x - 1| - 1) - 1)/(-1(1|x - 1| - 1) + 3)))) + 2| + 2 and g(x) = (1(-3cos(2π(5x^2 + 5x - 5))))/(-3(-3cos(2π(5x^2 + 5x - 5))) + 2) between the vertical lines x = -4.9 and x = -4.800000000000001. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = 3sin(2π(-3|(-3|(2|x + 3| - 3) + 1| + 1) - 1| + 1) + 3) and g(x) = 2|((-2(3cos(1πx + 2) + 1) + 1)/(1(3cos(1πx + 2) + 1) - 2))| - 2 from x = -3.1 to x = -2.1. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = -5((-1(5(-4x - 2) + 5) - 2)/(2(5(-4x - 2) + 5) + 1)) + 4 and g(x) = 3(-1(-3|x + 3| - 3)^2 - 2(-3|x + 3| - 3) + 3)^2 + 3(-1(-3|x + 3| - 3)^2 - 2(-3|x + 3| - 3) + 3) + 4 from x = -3.1 to x = -2.9. Round to 1 decimal place.

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


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

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[User]
Calculate the area enclosed between the functions f(x) = 2(-4(-1(4x + 2) - 5) + 5)^2 - 5(-4(-1(4x + 2) - 5) + 5) - 4 and g(x) = -1(2cos(2π(-1|x - 2| - 2) - 2) + 3)^2 - 4(2cos(2π(-1|x - 2| - 2) - 2) + 3) + 5 from x = -2.1 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) = -5(2cos(1π(-2((2x - 1)/(2x + 2)) + 1) + 2) - 3) - 2, g(x) = 2(3(4x - 2) + 5)^2 - 5(3(4x - 2) + 5) - 5, x = -0.1, and x = 0.4. Round your answer to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = -1(-4((-3(-2x + 1) + 2)/(3(-2x + 1) - 2))^2) - 3 and g(x) = 5(-5(-4x^2 + 3x + 4) + 4) - 3 from x = -0.6 to 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) = 1(1|(-4(3e^(-1x) - 3)^2 - 3(3e^(-1x) - 3) - 4) - 2|) and g(x) = (-1(1sin(3π(-2x + 3) + 2) + 1) + 3)/(2(1sin(3π(-2x + 3) + 2) + 1) - 3) 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) = 1(-2(-3|((2x)/(-1x + 2)) - 3| + 3) + 2)^2 - 4(-2(-3|((2x)/(-1x + 2)) - 3| + 3) + 2) - 2 and g(x) = 3|(-3((1x - 3)/(-1x - 1)) + 1) - 3| + 1 from x = 1.2 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(-3e^(1(5(1x^2 + 4x + 5)^2 + 5(1x^2 + 4x + 5) + 5)) + 2) - 2)/(-3(-3e^(1(5(1x^2 + 4x + 5)^2 + 5(1x^2 + 4x + 5) + 5)) + 2) - 2), g(x) = 2cos(1π((-1(1|x - 1| - 3) + 2)/(2(1|x - 1| - 3) + 2)) - 3) - 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]
Find the area of the region bounded by the curves f(x) = -5(3(-4(4x + 5) - 2)^2 - 5(-4(4x + 5) - 2) - 5)^2 - 2(3(-4(4x + 5) - 2)^2 - 5(-4(4x + 5) - 2) - 5) - 5, g(x) = 1(3(-3x^2 - 3x - 5) + 5) - 2, x = -1.5, and x = -1.3. Round your answer to 1 decimal place.

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


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

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[User]
Determine the area of the region enclosed by the graphs of f(x) = (-2(-1e^(1(1((-3x - 1)/(2x + 2))^2 + 4((-3x - 1)/(2x + 2)) - 4)) - 2) + 2)/(2(-1e^(1(1((-3x - 1)/(2x + 2))^2 + 4((-3x - 1)/(2x + 2)) - 4)) - 2) + 2) and g(x) = -1(-2|((-2x + 2)/(1x + 3))| - 1)^2 - 3(-2|((-2x + 2)/(1x + 3))| - 1) - 3 between the vertical lines x = -0.3 and x = 5.0. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = (-2((-1(2|(3|x - 1| - 2) - 1| - 3) - 1)/(2(2|(3|x - 1| - 2) - 1| - 3) - 3)) - 1)/(-1((-1(2|(3|x - 1| - 2) - 1| - 3) - 1)/(2(2|(3|x - 1| - 2) - 1| - 3) - 3)) - 2) and g(x) = -4(-4(-2e^(-1x) - 2)^2 - 1) - 5 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) = (1((3(1|(2x^2 + 1x)| - 3))/(3(1|(2x^2 + 1x)| - 3) + 3)) + 2)/(3((3(1|(2x^2 + 1x)| - 3))/(3(1|(2x^2 + 1x)| - 3) + 3)) + 2) and g(x) = -3|(-1sin(1π(3|x - 3| - 3) - 1) - 1) + 3| - 1 from x = -1.4 to x = 0.9. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = -3e^(-2(4((-2(-1|x - 1| + 1))/(2(-1|x - 1| + 1) - 1))^2 + 1((-2(-1|x - 1| + 1))/(2(-1|x - 1| + 1) - 1)) - 3)) - 1 and g(x) = -5((-3(2sin(2πx - 1) - 2) - 3)/(2(2sin(2πx - 1) - 2) - 1)) from x = -4.6 to x = -4.5. Round to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = 2(4((1(3x + 4) + 3)/(1(3x + 4) + 2))^2 - 3((1(3x + 4) + 3)/(1(3x + 4) + 2)) - 4) - 3 and g(x) = 3sin(3π(5(-3|x| - 3)^2 + 1(-3|x| - 3) - 2) - 2) + 3 from x = -1.6 to x = -1.5. Round to 1 decimal place.

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


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

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[User]
Determine the area of the region enclosed by the graphs of f(x) = -1(-2|(-3e^(-1(5x^2 + 5)) - 1) - 2| + 3) + 1 and g(x) = -5(2(4x - 1)^2 - 4(4x - 1) + 2)^2 + 5(2(4x - 1)^2 - 4(4x - 1) + 2) + 4 between the vertical lines x = 0.5 and x = 0.7. Round to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = (-2(3|(-1cos(2π(5x^2 + 1x + 3) - 3) + 3) + 2| - 2) - 1)/(2(3|(-1cos(2π(5x^2 + 1x + 3) - 3) + 3) + 2| - 2) - 1) and g(x) = (-3(-3((3x - 3)/(1x + 2))^2 + 5) - 3)/(1(-3((3x - 3)/(1x + 2))^2 + 5) - 2) between the vertical lines x = -0.0 and x = 4.4. Round to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = 1cos(1π(-5(2|(5x + 1)|) - 5) + 2) - 1, g(x) = -2(-3cos(3π(-5x + 5) + 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]
Find the area of the region bounded by the curves f(x) = -2(-2cos(2π(1|((3x - 3)/(-1x - 1))| + 2)) - 1) - 3, g(x) = (-2(-5((-2x + 2)/(-2x - 2))^2 + 4((-2x + 2)/(-2x - 2)) + 3) - 3)/(-1(-5((-2x + 2)/(-2x - 2))^2 + 4((-2x + 2)/(-2x - 2)) + 3) + 2), x = -0.7, 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) = (2(1(1cos(3π(2|x - 1| - 1) + 2) - 2)^2 - 4(1cos(3π(2|x - 1| - 1) + 2) - 2) + 3) + 1)/(-3(1(1cos(3π(2|x - 1| - 1) + 2) - 2)^2 - 4(1cos(3π(2|x - 1| - 1) + 2) - 2) + 3) - 1), g(x) = 2|(-1sin(3π(1|x + 2| + 3) - 2) - 1)| - 1, x = -3.1, 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) = (-1(5((-3(-3|x - 3| + 3) - 3)/(3(-3|x - 3| + 3) - 2))^2 + 5((-3(-3|x - 3| + 3) - 3)/(3(-3|x - 3| + 3) - 2)) - 3) - 1)/(1(5((-3(-3|x - 3| + 3) - 3)/(3(-3|x - 3| + 3) - 2))^2 + 5((-3(-3|x - 3| + 3) - 3)/(3(-3|x - 3| + 3) - 2)) - 3) + 2), g(x) = 2(3cos(2π((-3x)/(2x - 1)) + 2) + 3)^2 + 1(3cos(2π((-3x)/(2x - 1)) + 2) + 3) + 5, x = 1.8, and x = 4.2. Round your answer to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = (-3(3(2e^(1((-1x)/(-1x + 2))) - 2) + 4) - 3)/(2(3(2e^(1((-1x)/(-1x + 2))) - 2) + 4) - 1) and g(x) = 3(1((-3x + 3)/(1x - 2)) - 5) - 2 from x = 0.9 to x = 1.6. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = 2|(5(-4(-3sin(2πx) - 1) + 2)^2 - 5(-4(-3sin(2πx) - 1) + 2) - 4) + 3| + 1 and g(x) = 3|((2(1sin(3πx - 2) + 2))/(-1(1sin(3πx - 2) + 2) - 1)) + 3| + 3 from x = -1.1 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) = 2sin(3π(-3|(-4(2x^2 - 2x) + 1) - 2| + 3) - 3) + 3 and g(x) = -3((-3(-2|x - 1| + 2) + 1)/(2(-2|x - 1| + 2) + 1)) + 4 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) = -1(1(-2(1sin(2πx) + 1) - 1))^2 + 2(1(-2(1sin(2πx) + 1) - 1)) - 3 and g(x) = 4(-1(3cos(3πx + 1) + 3)^2 - 2(3cos(3πx + 1) + 3) - 2) - 1 from x = 2.4 to x = 2.9. Round to 1 decimal place.

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


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

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


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

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


[User]
Calculate the area enclosed between the functions f(x) = 5(-5(-2|(-3x - 5) + 1| + 1)^2 + 5(-2|(-3x - 5) + 1| + 1) + 4) - 1 and g(x) = -2|(3((-3x + 3)/(2x - 1)) - 2) - 1| - 3 from x = -1.6 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) = -4(2|(2sin(3π(3x + 2) - 3) - 1) + 3| - 1)^2 - 2(2|(2sin(3π(3x + 2) - 3) - 1) + 3| - 1) + 4 and g(x) = 4((2(-3x + 5) - 2)/(-3(-3x + 5) - 1)) - 4 from x = -2.2 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) = -3sin(3π(-3|(-1|(3x - 2) - 2| + 2) - 2| - 3) + 2) - 3 and g(x) = 2(-1|(-5x + 3) - 1| + 1)^2 + 5(-1|(-5x + 3) - 1| + 1) - 3 from x = 0.7 to x = 0.7999999999999999. 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((1x + 2)/(-3x)))/(-1((1x + 2)/(-3x)) + 2)) - 2| + 3)^2 - 5(-2|((2((1x + 2)/(-3x)))/(-1((1x + 2)/(-3x)) + 2)) - 2| + 3) - 2 and g(x) = (-2(-3sin(3π(-3x^2 + 5x + 3) - 2) - 3) - 1)/(-2(-3sin(3π(-3x^2 + 5x + 3) - 2) - 3) + 1) 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]
Determine the area of the region enclosed by the graphs of f(x) = 3((-2((2(5x - 4) - 2)/(-1(5x - 4) - 3)) + 1)/(1((2(5x - 4) - 2)/(-1(5x - 4) - 3)) + 3))^2 + 4((-2((2(5x - 4) - 2)/(-1(5x - 4) - 3)) + 1)/(1((2(5x - 4) - 2)/(-1(5x - 4) - 3)) + 3)) + 5 and g(x) = (-2(2sin(1π((3x - 3)/(3x - 2)) - 3) - 1) - 1)/(-3(2sin(1π((3x - 3)/(3x - 2)) - 3) - 1) + 1) between the vertical lines x = 0.2 and x = 0.5. Round to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = 1|(3(2|((-1x + 1)/(-3x + 2)) + 3| - 3)^2 - 1(2|((-1x + 1)/(-3x + 2)) + 3| - 3) + 3) + 1| - 1 and g(x) = 3((-2((2x + 1)/(-3x - 1)))/(1((2x + 1)/(-3x - 1)) - 3))^2 - 4((-2((2x + 1)/(-3x - 1)))/(1((2x + 1)/(-3x - 1)) - 3)) + 3 from x = 0.7 to x = 0.7999999999999999. Round to 1 decimal place.

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


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

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


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

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


[User]
Calculate the area enclosed between the functions f(x) = -1(-2(-3|(-1|x + 2| + 3) + 2| + 2) + 5) - 4 and g(x) = 3(-2sin(1π(-4x - 4) + 3)) - 4 from x = 2.5 to x = 2.7. Round to 1 decimal place.

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


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

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


[User]
Calculate the area enclosed between the functions f(x) = 1(-1|(1|(3x + 4) + 1| + 1) - 3| - 1) + 5 and g(x) = 1|(4(4x - 2)^2 + 3(4x - 2) - 2) + 1| from x = 0.2 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(3|((-3(1|x + 2| - 1) - 1)/(-2(1|x + 2| - 1) - 2)) + 1| - 3)) - 3 and g(x) = -1(1cos(1π(-2|x + 1| - 1) - 2) - 1)^2 - 4(1cos(1π(-2|x + 1| - 1) - 2) - 1) + 4 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]
Find the area of the region bounded by the curves f(x) = 1e^(1((-1(-2|(3|x| - 2) - 1| + 2) - 3)/(2(-2|(3|x| - 2) - 1| + 2) + 3))) - 3, g(x) = 5(4(-2cos(1πx + 2) + 2) - 5) + 5, x = -0.3, and x = 0.4. Round your answer to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = -2(2|(3(2|x - 1| - 2) + 4) - 1| - 2)^2 - 4(2|(3(2|x - 1| - 2) + 4) - 1| - 2) - 1 and g(x) = -1(1(-3|x - 2|))^2 between the vertical lines x = 1.3 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|(1sin(3πx - 2) + 2) - 2| - 3) - 1)/(-2(2|(1sin(3πx - 2) + 2) - 2| - 3) - 3)) + 2| + 3 and g(x) = -1((1(2|x + 3| - 3) + 2)/(3(2|x + 3| - 3) + 2)) - 5 between the vertical lines x = -1.9 and x = -1.7. Round to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = 3(-4((-1(-2x - 3))/(2(-2x - 3) - 1)) + 1)^2 + 5(-4((-1(-2x - 3))/(2(-2x - 3) - 1)) + 1) + 4, g(x) = -2cos(3π(-1|(1|x - 1| - 1) + 2| + 2) + 1) + 2, x = -1.6, and x = -1.5. Round your answer to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = -3(3(-1|(5x^2 + 4x - 3) + 3| + 1) - 4), g(x) = 2e^(-1(2(1x^2 + 1x - 1) + 5)) + 3, x = -0.8, 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) = (-3(-1e^(-1(1|(-5x + 5) - 3| + 1)) - 3))/(-2(-1e^(-1(1|(-5x + 5) - 3| + 1)) - 3) - 2) and g(x) = 1(-5(2x^2 + 4x)^2 - 4(2x^2 + 4x) - 1)^2 + 1(-5(2x^2 + 4x)^2 - 4(2x^2 + 4x) - 1) - 4 between the vertical lines x = -1.6 and x = -0.4. Round to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = (2(1cos(1π(-1|(-1x^2 + 3) - 2| - 2) - 3) + 1) + 2)/(1(1cos(1π(-1|(-1x^2 + 3) - 2| - 2) - 3) + 1) - 3) and g(x) = 4(-1|(1x^2 + 4x) - 1| + 1)^2 - 3 between the vertical lines x = -4.2 and x = -4.0. Round to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = -1|((-2((-1(-5x^2 - 4x + 5) - 1)/(-2(-5x^2 - 4x + 5) + 3)) - 2)/(-1((-1(-5x^2 - 4x + 5) - 1)/(-2(-5x^2 - 4x + 5) + 3)) + 3)) - 2| and g(x) = 1((3(-1|x - 2|) + 1)/(-1(-1|x - 2|))) - 5 from x = 1.8 to x = 2.2. Round to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = -3(1(-5(-1x^2 - 3x - 1))^2 + 5(-5(-1x^2 - 3x - 1)) + 3) + 4, g(x) = 1(2|(-1x) + 3| - 1) - 4, x = -2.1, and x = -0.9. Round your answer to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = 3sin(1π(2|(-1(3x^2 - 4x - 5) - 5) - 3| + 1) - 1) and g(x) = -2(2|(-3sin(3πx + 3) - 1) + 2| - 1)^2 - 2(2|(-3sin(3πx + 3) - 1) + 2| - 1) - 1 between the vertical lines x = -3.6 and x = -3.5. Round to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = (1(-3|(-1(-1x^2 - 3x - 3) - 4) - 1| + 1) - 3)/(-2(-3|(-1(-1x^2 - 3x - 3) - 4) - 1| + 1) + 1) and g(x) = -2|(-1((-1x - 2)/(2x + 3)) + 4) + 2| - 3 between the vertical lines x = -3.5 and x = 0.5. Round to 1 decimal place.

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


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

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


[User]
Find the area of the region bounded by the curves f(x) = 1sin(3π(2|((1(1|x| + 1))/(-2(1|x| + 1) - 2)) + 1| - 1) - 1), g(x) = -5((3(4x^2 + 3x + 1) - 2)/(3(4x^2 + 3x + 1) - 1))^2 + 3, x = -0.8, 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) = -1sin(2π(2((-2((2x)/(-2x - 3)) + 2)/(3((2x)/(-2x - 3)))) + 4) + 1) and g(x) = 4(1(-2x - 3)^2 + 4(-2x - 3) - 5) + 2 between the vertical lines x = -2.0 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) = -1e^(-2(3|(2|(4x^2 + 5x - 4) + 3| - 3) - 1| - 2)) + 2, g(x) = -3((-1(2cos(1πx + 2)) + 3)/(1(2cos(1πx + 2)))) - 4, x = -1.0, 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|(5(1(-3sin(3πx + 1) - 1)^2 + 1(-3sin(3πx + 1) - 1) - 5) + 5) + 1| + 1 and g(x) = -3|((2(3|x - 3| - 1) - 2)/(-2(3|x - 3| - 1) + 1))| + 2 from x = -1.8 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((1(-1|(3sin(3πx + 2)) + 3| + 2) + 1)/(-2(-1|(3sin(3πx + 2)) + 3| + 2) - 1)) + 3)/(-2((1(-1|(3sin(3πx + 2)) + 3| + 2) + 1)/(-2(-1|(3sin(3πx + 2)) + 3| + 2) - 1)) + 3) and g(x) = 1e^(-1(1((-3x - 3)/(-1x - 2))^2 - 3((-3x - 3)/(-1x - 2)))) between the vertical lines x = -2.5 and x = -2.2. Round to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = -2(-2|((-3(-1e^(-1x) + 3) - 1)/(-2(-1e^(-1x) + 3) - 3)) - 2|) + 1 and g(x) = 1(1|(-3sin(2πx - 2) - 2)| - 2)^2 - 3 between the vertical lines x = 3.5 and x = 3.6. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = 1(1((3(3sin(1πx + 1)))/(-1(3sin(1πx + 1)) - 3))^2 - 2((3(3sin(1πx + 1)))/(-1(3sin(1πx + 1)) - 3)) - 2) + 4 and g(x) = -3e^(1(2(1x^2 - 5x - 5) + 3)) + 1 from x = 1.6 to x = 2.8. Round to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = (-3(-1cos(2π(-2(3x^2 - 5x + 1) - 3) - 2) + 2) - 3)/(1(-1cos(2π(-2(3x^2 - 5x + 1) - 3) - 2) + 2) - 2) and g(x) = -3(3|(2|x - 3| - 2) - 2|) between the vertical lines x = 3.8 and x = 3.9. Round to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = 4(1cos(1π(-2|((1x + 2)/(3x - 2)) + 1| - 2) + 2)) - 2, g(x) = (-1(-5(1cos(3πx) - 1) - 4) - 1)/(2(-5(1cos(3πx) - 1) - 4) + 1), x = 1.8, and x = 1.9. Round your answer to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = (-2(3(5(3x + 2)^2 + 5(3x + 2) - 4) + 1))/(-1(3(5(3x + 2)^2 + 5(3x + 2) - 4) + 1) + 2) and g(x) = (-3(1(-2e^(1x) - 1)) - 1)/(-1(1(-2e^(1x) - 1)) - 1) from x = -1.2 to x = -0.5. Round to 1 decimal place.

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


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

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


[User]
Calculate the area enclosed between the functions f(x) = (-2(-1((-2(4x - 3) - 2)/(3(4x - 3))) + 3) + 3)/(3(-1((-2(4x - 3) - 2)/(3(4x - 3))) + 3) - 1) and g(x) = -1|(-5(-2|x + 3| + 3) - 3) + 1| + 2 from x = -1.5 to x = -1.1. Round to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = (2((3(-2e^(-2(2x + 5)) - 3) - 1)/(-2(-2e^(-2(2x + 5)) - 3) + 1)) - 1)/(1((3(-2e^(-2(2x + 5)) - 3) - 1)/(-2(-2e^(-2(2x + 5)) - 3) + 1))), g(x) = 3|((1(-4x) + 2)/(1(-4x) - 3)) + 1| - 2, x = -0.4, and x = 2.1. Round your answer to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = -1|(-2|(-2|(-5x^2 - 4x - 2) - 3| + 2) - 2| - 2) + 2| - 2 and g(x) = (-3(3sin(2π(-4x^2 - 5x + 2) - 3) - 2) - 3)/(3(3sin(2π(-4x^2 - 5x + 2) - 3) - 2) + 2) between the vertical lines x = -0.2 and x = 0.0. Round to 1 decimal place.

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


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

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


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

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

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

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = 1|(-1((-2(-1|x + 3| - 2) - 3)/(-2(-1|x + 3| - 2) + 3))^2 + 2((-2(-1|x + 3| - 2) - 3)/(-2(-1|x + 3| - 2) + 3)) + 2)| and g(x) = 1sin(1π(-1(-2|x + 3| - 1) + 5) + 2) + 3 between the vertical lines x = -4.2 and 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(1|(-1e^(-1x) + 2) - 3| - 1) - 1)/(-2(1|(-1e^(-1x) + 2) - 3| - 1) - 3)), g(x) = -1|(1cos(3π((-3x - 3)/(1x + 2)) - 2) - 3) + 1| + 2, x = -1.3, and x = -1.2. Round your answer to 1 decimal place.

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


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

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = -5(1cos(3π(2(2x^2 + 5x + 2)^2 + 5(2x^2 + 5x + 2) - 1) - 3) - 1)^2 + 5(1cos(3π(2(2x^2 + 5x + 2)^2 + 5(2x^2 + 5x + 2) - 1) - 3) - 1) + 4 and g(x) = -1|(5((-2x + 3)/(-3x + 4)) - 1) - 3| - 3 between the vertical lines x = -4.2 and x = -4.1000000000000005. 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|(-4(-1cos(3πx + 1)) + 1) + 1| + 1)| + 2 and g(x) = (2(2|(1|x + 1|) + 2| + 2) + 2)/(-2(2|(1|x + 1|) + 2| + 2)) between the vertical lines x = 0.8 and x = 0.9. Round to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = -5((-2(-2cos(3π(2x^2 - 1x - 3) - 1) + 3) + 1)/(1(-2cos(3π(2x^2 - 1x - 3) - 1) + 3) + 1))^2 + 3((-2(-2cos(3π(2x^2 - 1x - 3) - 1) + 3) + 1)/(1(-2cos(3π(2x^2 - 1x - 3) - 1) + 3) + 1)) - 4, g(x) = -1e^(2(4((-2x)/(2x + 2))^2 - 1((-2x)/(2x + 2)))) - 3, x = 0.9, 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) = -4(3e^(2((-2(2x + 5) + 2)/(-2(2x + 5)))) - 2)^2 - 1(3e^(2((-2(2x + 5) + 2)/(-2(2x + 5)))) - 2) + 2, g(x) = -3|(2cos(2π((-3x - 2)/(-2x + 3)))) - 3|, x = -2.4, and x = -1.9. Round your answer to 1 decimal place.

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


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

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = -1((-1(-3(1x + 3)^2 - 4(1x + 3) - 1) + 2)/(3(-3(1x + 3)^2 - 4(1x + 3) - 1))) - 3 and g(x) = (-1(2(1x^2 + 1x + 1)^2 + 3(1x^2 + 1x + 1) + 5) - 3)/(-1(2(1x^2 + 1x + 1)^2 + 3(1x^2 + 1x + 1) + 5) + 3) between the vertical lines x = -4.1 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) = 3|((3((2((1x + 1)/(3x + 1)))/(2((1x + 1)/(3x + 1)) - 1)) + 3)/(2((2((1x + 1)/(3x + 1)))/(2((1x + 1)/(3x + 1)) - 1)))) + 2| - 1, g(x) = (1(-2|(-1sin(3πx + 1) - 1) + 3| + 1) - 1)/(1(-2|(-1sin(3πx + 1) - 1) + 3| + 1)), x = -1.8, 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) = (-1(-1|(-1|(2x + 4) - 1|) - 3|) + 3)/(-2(-1|(-1|(2x + 4) - 1|) - 3|) + 1), g(x) = 2|(-4(-3x) + 4) - 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]
Find the area of the region bounded by the curves f(x) = (-2(-2sin(3π((3(3|x + 2| - 2) + 2)/(3(3|x + 2| - 2) + 1)) + 1) - 1))/(3(-2sin(3π((3(3|x + 2| - 2) + 2)/(3(3|x + 2| - 2) + 1)) + 1) - 1) - 2), g(x) = (-3((-1(1x^2 - 5x + 3))/(-1(1x^2 - 5x + 3) - 3)) - 3)/(1((-1(1x^2 - 5x + 3))/(-1(1x^2 - 5x + 3) - 3)) - 2), x = -2.5, and x = -2.4. Round your answer to 1 decimal place.

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


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

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


[User]
Find the area of the region bounded by the curves f(x) = (1((2(4(-3sin(1πx + 3)) - 1) - 2)/(-3(4(-3sin(1πx + 3)) - 1) - 3)) + 1)/(-1((2(4(-3sin(1πx + 3)) - 1) - 2)/(-3(4(-3sin(1πx + 3)) - 1) - 3)) + 3), g(x) = 4(-5((1x + 3)/(1x))^2 - 3((1x + 3)/(1x)) + 3) - 4, x = -3.0, 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) = -1(1((1(1x^2 - 2x + 4) + 3)/(-1(1x^2 - 2x + 4) + 2)) + 2) - 2 and g(x) = (1(-2|(1|x + 3| + 2) - 2| - 3))/(-3(-2|(1|x + 3| + 2) - 2| - 3) - 3) from x = 0.0 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((2(-1((3x - 1)/(2x + 2))^2 - 4((3x - 1)/(2x + 2)) + 4) - 1)/(3(-1((3x - 1)/(2x + 2))^2 - 4((3x - 1)/(2x + 2)) + 4) + 2))) - 1, g(x) = -1|(2cos(2π(-3|x + 2| + 3) - 3) + 3) - 1| + 1, x = 2.7, and x = 2.8000000000000003. 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(-1(-2x - 5)^2 + 1(-2x - 5) + 3)))/(-2(2(-1(-2x - 5)^2 + 1(-2x - 5) + 3)) - 1) and g(x) = -3e^(-2((-2(1x^2 - 4x - 2) - 2)/(-1(1x^2 - 4x - 2) - 1))) - 3 from x = -3.7 to x = -1.8. Round to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = -2cos(3π(-1|(-5(-3|x + 3| + 2)^2 + 3(-3|x + 3| + 2) - 5) - 3|) + 3), g(x) = (1(-2e^(-1(2|x| + 3))) - 1)/(1(-2e^(-1(2|x| + 3))) - 2), x = -3.9, and x = -3.8. Round your answer to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = -2e^(-1((-1(2|(4x - 3) - 1| - 1))/(2(2|(4x - 3) - 1| - 1) - 1))) + 3 and g(x) = 1sin(3π(5(4x^2 + 1x + 3)^2 - 1) + 3) - 2 from x = 0.7 to x = 0.7999999999999999. Round to 1 decimal place.

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


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

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


[User]
Calculate the area enclosed between the functions f(x) = (-2(-2(-2|(-1|x - 3|) + 2| + 2) + 2) + 1)/(1(-2(-2|(-1|x - 3|) + 2| + 2) + 2) + 3) and g(x) = 1(-1(-1|x - 3| - 3) + 1) - 2 from x = 1.0 to x = 5.0. 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(1cos(2π(-1x - 5) - 2)) + 3)/(3(1cos(2π(-1x - 5) - 2)) + 2)) - 1 and g(x) = 1|(-2|(1|x - 3| - 3) + 2| - 1) - 2| + 3 from x = 4.0 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) = -3cos(1π(1(-1|(-1x - 3) - 3|) - 3) + 1) and g(x) = 1(3|(1x^2 - 2x - 3) + 2| - 1)^2 + 5(3|(1x^2 - 2x - 3) + 2| - 1) + 2 between the vertical lines x = 2.3 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) = (1(5(2((-1x - 2)/(1x - 3))^2 - 5((-1x - 2)/(1x - 3)) - 4)^2 + 5(2((-1x - 2)/(1x - 3))^2 - 5((-1x - 2)/(1x - 3)) - 4) + 2) + 2)/(-1(5(2((-1x - 2)/(1x - 3))^2 - 5((-1x - 2)/(1x - 3)) - 4)^2 + 5(2((-1x - 2)/(1x - 3))^2 - 5((-1x - 2)/(1x - 3)) - 4) + 2)) and g(x) = 2(2sin(3π(-3x))) - 4 between the vertical lines x = -3.9 and x = -3.8. Round to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = 3sin(3π(-4((3(-5x^2 - 5x) - 2)/(2(-5x^2 - 5x) + 2))^2 - 2((3(-5x^2 - 5x) - 2)/(2(-5x^2 - 5x) + 2)) - 4) - 2) + 2 and g(x) = -2(1sin(3π(3|x + 1| - 1) - 2) + 1) + 3 from x = -0.0 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) = 3cos(3π(-1|(5(5x + 1) - 3) + 2| + 2) - 1) + 3, g(x) = 1(4(-5x + 4) + 2)^2 + 3(4(-5x + 4) + 2) + 5, x = 1.0, and x = 1.1. Round your answer to 1 decimal place.

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


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

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


[User]
Calculate the area enclosed between the functions f(x) = 1(-2(2sin(2π((-2x + 1)/(-3x)) - 1) - 2) - 2) - 3 and g(x) = (-1(3|(2cos(1πx - 1) + 3)| - 3))/(-1(3|(2cos(1πx - 1) + 3)| - 3)) from x = -0.0 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) = -3(3(-1(1x^2 + 1x - 4) + 4)^2 - 3(-1(1x^2 + 1x - 4) + 4) + 3) - 1 and g(x) = -2|(3(2x^2 - 1x + 1) + 4) + 1| - 2 from x = 1.9 to x = 2.8. Round to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = 1((-1(-2sin(2π(1|x + 2|) - 1) + 2) + 1)/(1(-2sin(2π(1|x + 2|) - 1) + 2) + 2))^2 + 4((-1(-2sin(2π(1|x + 2|) - 1) + 2) + 1)/(1(-2sin(2π(1|x + 2|) - 1) + 2) + 2)) - 1 and g(x) = -1|(4(-4x + 5)^2 - 3) - 2| - 2 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]
Find the area of the region bounded by the curves f(x) = 1((1(3|(-3|x + 3| - 3) - 2|))/(2(3|(-3|x + 3| - 3) - 2|) - 1)) - 3, g(x) = -1cos(1π(-2|(-2x + 2) - 1| - 3) - 2) - 3, x = -2.3, and x = -1.9. Round your answer to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = -3|((-3(-1(5x^2 - 3x - 4)^2 - 4(5x^2 - 3x - 4) + 1) - 1)/(-3(-1(5x^2 - 3x - 4)^2 - 4(5x^2 - 3x - 4) + 1) - 1)) - 1| - 2, g(x) = 1|(-5(-5x^2 - 5x - 1) + 5) - 3| - 3, x = -0.6, and x = -0.4. Round your answer to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = 1(-1|((-1(3cos(2πx + 1)) - 1)/(2(3cos(2πx + 1)) - 1)) - 3| - 2) + 1, g(x) = -3(3cos(3π(-5x + 2)) + 2) - 5, x = 3.8, and x = 3.9. 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|((2(2|(5x^2 + 1) - 2| + 2))/(2(2|(5x^2 + 1) - 2| + 2) + 2)) - 1| + 3, g(x) = -1(-3|(-1|x + 3| - 1) + 3| - 3) - 4, x = -2.4, 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(3(-1x^2 - 5x + 4)^2 - 2(-1x^2 - 5x + 4) + 1)) + 3, g(x) = 2|(3sin(2π((1x + 3)/(1x - 2)) + 3) - 2) + 2| + 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]
Calculate the area enclosed between the functions f(x) = (3(2|(-1e^(1(-1x + 4)) - 1)| - 3) - 1)/(-2(2|(-1e^(1(-1x + 4)) - 1)| - 3) + 3) and g(x) = 3e^(-1(2((3x + 3)/(-2x + 3))^2 + 1((3x + 3)/(-2x + 3)) - 1)) - 3 from x = -0.2 to x = 3.4. Round to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = (-3(5(-4(-4x - 1)^2 + 3(-4x - 1) - 4)^2 + 3(-4(-4x - 1)^2 + 3(-4x - 1) - 4) + 1) - 1)/(2(5(-4(-4x - 1)^2 + 3(-4x - 1) - 4)^2 + 3(-4(-4x - 1)^2 + 3(-4x - 1) - 4) + 1) - 3) and g(x) = -5(-2(-2|x - 3| + 3) - 1)^2 - 4(-2(-2|x - 3| + 3) - 1) + 1 from x = 1.2 to x = 1.6. Round to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = (-1((1(1(1sin(2πx - 3) + 1)^2 + 3(1sin(2πx - 3) + 1) - 1) - 3)/(-3(1(1sin(2πx - 3) + 1)^2 + 3(1sin(2πx - 3) + 1) - 1) - 2)) + 3)/(-1((1(1(1sin(2πx - 3) + 1)^2 + 3(1sin(2πx - 3) + 1) - 1) - 3)/(-3(1(1sin(2πx - 3) + 1)^2 + 3(1sin(2πx - 3) + 1) - 1) - 2)) - 1), g(x) = -2|(-3((-1x - 3)/(2x + 1)) + 5) + 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]
Find the area of the region bounded by the curves f(x) = (-1(1|(-1|(2x^2 - 3x + 2) - 3|) + 1| - 1) - 1)/(2(1|(-1|(2x^2 - 3x + 2) - 3|) + 1| - 1) + 3), g(x) = -4(-4(3cos(1πx + 2) - 3) - 2)^2 - 3(-4(3cos(1πx + 2) - 3) - 2) + 4, x = -4.7, and x = -4.5. Round your answer to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = 5(3(-3(5x + 3)^2 + 2(5x + 3) + 2) + 5)^2 + 3(3(-3(5x + 3)^2 + 2(5x + 3) + 2) + 5) - 4 and g(x) = -1((2(3|x - 2| - 3))/(2(3|x - 2| - 3) + 1))^2 + 5((2(3|x - 2| - 3))/(2(3|x - 2| - 3) + 1)) + 3 between the vertical lines x = -0.3 and x = -0.19999999999999998. Round to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = 2(-1e^(-2(-1(-3x - 4) + 3))) + 1 and g(x) = -3cos(2π(3|(5x^2 - 2x + 3) - 3| + 3) - 1) from x = 2.3 to 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(-3sin(3π(2|((2x + 1)/(3x - 2)) + 3| - 1)) - 1)^2 - 4, g(x) = -3(-1cos(1π((1x - 3)/(-3x)) + 1) + 1)^2 + 1(-1cos(1π((1x - 3)/(-3x)) + 1) + 1) - 4, x = 0.9, 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(3e^(-1((-1(1x^2 - 1))/(-2(1x^2 - 1) + 1)))) + 3)/(-1(3e^(-1((-1(1x^2 - 1))/(-2(1x^2 - 1) + 1)))) - 2), g(x) = -2(-2(-3|x + 1| + 3) - 4) - 1, x = -2.7, and x = 0.7. Round your answer to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = (-2(-2|(-2sin(2π(2|x + 1| - 1) - 2) + 1) - 2| + 1) - 2)/(-1(-2|(-2sin(2π(2|x + 1| - 1) - 2) + 1) - 2| + 1) + 3), g(x) = 1|(-2cos(3π(5x^2 + 1x - 2) + 2) + 1) + 2| - 2, x = -3.1, 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|(2|(1(-5x^2 - 3x - 2) + 3) + 1| + 3) - 3| + 1, g(x) = 1|(-3|((2x + 2)/(-3x))|) - 1| + 3, x = -1.1, 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) = 2sin(1π(2|(-1|(5x + 4) + 1| - 3) - 1| - 1)) + 1 and g(x) = (-2(-2(5x^2 - 5x) - 1) - 1)/(-3(-2(5x^2 - 5x) - 1) + 1) between the vertical lines x = 3.6 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) = -2cos(2π((3((-3((-1x + 1)/(-1x - 3)) - 1)/(-1((-1x + 1)/(-1x - 3)) + 3)) + 3)/(3((-3((-1x + 1)/(-1x - 3)) - 1)/(-1((-1x + 1)/(-1x - 3)) + 3)) + 3))) - 2 and g(x) = -3(2|(3|x + 2| - 3) + 2| - 3) + 1 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]
Calculate the area enclosed between the functions f(x) = 3sin(2π(-2|(3((-3x - 2)/(-1x - 2))^2 - 4((-3x - 2)/(-1x - 2)) - 4) - 1| - 3) - 2) + 1 and g(x) = -3e^(-2((-3((-1x - 3)/(1x + 1)) + 1)/(3((-1x - 3)/(1x + 1))))) - 1 from x = -3.0 to x = -2.9. Round to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = (-1(5(2cos(2π(-1|x - 3|) - 2) + 2) - 4))/(2(5(2cos(2π(-1|x - 3|) - 2) + 2) - 4) + 1), g(x) = -1e^(-1(2(4x + 1)^2 + 4(4x + 1) - 5)) - 2, x = 3.0, and x = 3.1. Round your answer to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = -3|(3e^(-2(1|(-3x - 1) - 3| + 3)))| - 1 and g(x) = -2cos(3π(-4((-1x + 1)/(-1x - 1)) - 4) + 3) from x = -1.2 to x = -1.0999999999999999. Round 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(-3|(-2|(-1x^2 - 1x + 5) + 3| - 2) + 1|) + 3) + 2 and g(x) = 1(-5((2x - 1)/(-2x + 3)) - 4) from x = 4.7 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|((3(4(-1sin(3πx) - 1) + 1) - 3)/(1(4(-1sin(3πx) - 1) + 1) + 3)) + 2| - 3 and g(x) = (-3(2(-3cos(1πx) - 2)) + 3)/(2(2(-3cos(1πx) - 2))) between the vertical lines x = -1.6 and x = -1.4. Round to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = -3(2|((-2(2cos(3πx - 3) - 3) + 2)/(-2(2cos(3πx - 3) - 3))) - 1| + 3) + 4, g(x) = -1(4(-2|x + 2| + 2)^2 - 5(-2|x + 2| + 2))^2 - 1(4(-2|x + 2| + 2)^2 - 5(-2|x + 2| + 2)) - 1, x = -1.8, and x = -0.8. Round your answer to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = 3|((2(3(-3cos(2πx + 3) - 2)^2 - 1(-3cos(2πx + 3) - 2) - 1) - 1)/(-1(3(-3cos(2πx + 3) - 2)^2 - 1(-3cos(2πx + 3) - 2) - 1) + 3))| + 2 and g(x) = 1|(3sin(2π(-5x^2 - 5x - 3) + 3) + 3) - 3| + 2 from x = 2.1 to x = 2.2. Round to 1 decimal place.

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

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[User]
Find the area of the region bounded by the curves f(x) = (-3(5((-3(3e^(-1x) - 1) - 2)/(2(3e^(-1x) - 1) - 3))^2 + 4((-3(3e^(-1x) - 1) - 2)/(2(3e^(-1x) - 1) - 3)) - 4))/(1(5((-3(3e^(-1x) - 1) - 2)/(2(3e^(-1x) - 1) - 3))^2 + 4((-3(3e^(-1x) - 1) - 2)/(2(3e^(-1x) - 1) - 3)) - 4) - 3), g(x) = 1((3(-2sin(1πx - 3)) - 1)/(3(-2sin(1πx - 3)) - 2)) - 4, x = 2.8, and x = 4.1. Round your answer to 1 decimal place.

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


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

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[User]
Calculate the area enclosed between the functions f(x) = (-3(-1(2(-2x - 5)^2 + 2(-2x - 5) - 5)^2 + 1(2(-2x - 5)^2 + 2(-2x - 5) - 5) - 4))/(-2(-1(2(-2x - 5)^2 + 2(-2x - 5) - 5)^2 + 1(2(-2x - 5)^2 + 2(-2x - 5) - 5) - 4) + 1) and g(x) = 4(-1|(-2x^2 + 4x - 5) + 3| + 2) - 5 from x = 0.6 to 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) = 3cos(2π(1|(-2|((-1x + 2)/(-3x - 3)) - 3| + 3) + 1| - 1)) - 3 and g(x) = (3(2(1x - 1) + 2) + 2)/(-3(2(1x - 1) + 2) + 4) between the vertical lines x = -1.1 and x = -1.0. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = (1((-1(-4(-2|x - 1|) - 3) + 3)/(-2(-4(-2|x - 1|) - 3) + 3)) + 3)/(2((-1(-4(-2|x - 1|) - 3) + 3)/(-2(-4(-2|x - 1|) - 3) + 3)) + 2) and g(x) = (-3(-1e^(1((1x)/(2x))) - 2) - 1)/(3(-1e^(1((1x)/(2x))) - 2) - 1) from x = 0.4 to x = 1.6. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = (2(-1|((-3(1x - 2) - 1)/(-1(1x - 2) + 2)) - 3| + 1) - 3)/(-2(-1|((-3(1x - 2) - 1)/(-1(1x - 2) + 2)) - 3| + 1)) and g(x) = 2e^(1(-1(-5x^2 + 2x - 3) - 5)) - 3 from x = 0.2 to x = 0.7. Round to 1 decimal place.

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

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

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[User]
Calculate the area enclosed between the functions f(x) = 3(-1((-2((-3x + 1)/(-3x + 4)) + 3)/(-2((-3x + 1)/(-3x + 4)) + 1))^2 - 2((-2((-3x + 1)/(-3x + 4)) + 3)/(-2((-3x + 1)/(-3x + 4)) + 1)) + 4)^2 - 3 and g(x) = (2(5(-3x + 1) - 5) + 3)/(-3(5(-3x + 1) - 5) - 3) from x = -2.6 to x = -2.3. Round to 1 decimal place.

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

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


[User]
Find the area of the region bounded by the curves f(x) = 3(-2|(3cos(3π(-3x - 3) + 2) - 2) - 1| + 2) - 2, g(x) = 1(-4(-1x + 5)^2 + 4(-1x + 5) + 2)^2 + 1(-4(-1x + 5)^2 + 4(-1x + 5) + 2) + 1, x = 3.7, and x = 3.8. Round your answer to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = (3(3|((-1((-1x + 2)/(2x + 1)))/(2((-1x + 2)/(2x + 1)) + 3)) + 2| - 1) + 3)/(2(3|((-1((-1x + 2)/(2x + 1)))/(2((-1x + 2)/(2x + 1)) + 3)) + 2| - 1) - 1) and g(x) = -2|(4(1x + 2) + 5) - 1| + 2 between the vertical lines x = -1.4 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) = (-2(3((-1(-3|x| + 3))/(2(-3|x| + 3)))^2 - 3((-1(-3|x| + 3))/(2(-3|x| + 3))) - 4) + 1)/(-1(3((-1(-3|x| + 3))/(2(-3|x| + 3)))^2 - 3((-1(-3|x| + 3))/(2(-3|x| + 3))) - 4) - 1), g(x) = 3(-3cos(1π((-2x - 2)/(-3x + 1))) + 2) + 4, x = -0.0, and x = 0.1. Round your answer to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = -2sin(2π(4(-3|(2x^2 - 3x - 1) + 1| - 1) + 5) - 2) + 1, g(x) = (-2(-1(2|x + 3| - 3) + 3))/(2(-1(2|x + 3| - 3) + 3) + 2), x = -1.9, and x = -1.7999999999999998. Round your answer to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = (-1(3((-1((3x + 2)/(-2x + 1)) - 1)/(2((3x + 2)/(-2x + 1)) + 1))^2 - 4((-1((3x + 2)/(-2x + 1)) - 1)/(2((3x + 2)/(-2x + 1)) + 1)) - 5))/(2(3((-1((3x + 2)/(-2x + 1)) - 1)/(2((3x + 2)/(-2x + 1)) + 1))^2 - 4((-1((3x + 2)/(-2x + 1)) - 1)/(2((3x + 2)/(-2x + 1)) + 1)) - 5) + 1), g(x) = -1(3|(-2x - 3) - 1| - 2) + 3, x = -2.9, and x = -1.4. Round your answer to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = -5(-3|(2(2x + 5) - 4)| + 3) - 1 and g(x) = -2|((-1((-1x + 3)/(-3x - 3)) + 3)/(1((-1x + 3)/(-3x - 3)))) - 3| from x = -1.7 to x = -1.3. Round to 1 decimal place.

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

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


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

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


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

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


[User]
Find the area of the region bounded by the curves f(x) = -2sin(1π(-3|(2(-2|x - 2| + 1)^2 + 4(-2|x - 2| + 1)) - 1| + 2) + 2) - 1, g(x) = (-3((1(1|x - 2| - 3) - 2)/(-1(1|x - 2| - 3) - 3)) + 1)/(-2((1(1|x - 2| - 3) - 2)/(-1(1|x - 2| - 3) - 3)) + 1), x = -2.7, and x = -2.6. 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(-3(-3cos(3πx) - 1) - 5) + 1)/(3(-3(-3cos(3πx) - 1) - 5) - 1))^2 + 5((-1(-3(-3cos(3πx) - 1) - 5) + 1)/(3(-3(-3cos(3πx) - 1) - 5) - 1)) and g(x) = -5(-1|(-2|x + 1| - 3) + 2| + 1)^2 - 4(-1|(-2|x + 1| - 3) + 2| + 1) + 4 from x = -1.2 to x = -1.0999999999999999. Round to 1 decimal place.

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

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[User]
Determine the area of the region enclosed by the graphs of f(x) = -4(-1(5(-3x - 1) - 4) - 2) and g(x) = (-2(-4(-2e^(-1x))^2 + 3(-2e^(-1x))) + 3)/(1(-4(-2e^(-1x))^2 + 3(-2e^(-1x))) + 2) between the vertical lines x = -0.4 and x = 1.5. Round to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = (2(-1(-3(-2cos(3πx) - 3) + 2)))/(2(-1(-3(-2cos(3πx) - 3) + 2)) - 1), g(x) = -2|(-1(2|x + 2| - 3)^2 - 1(2|x + 2| - 3) + 3) - 3| + 3, x = -2.7, and x = -1.3. Round your answer to 1 decimal place.

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

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[User]
Calculate the area enclosed between the functions f(x) = (-3(-1e^(1(1(-2x^2 + 4x - 1)^2 + 3(-2x^2 + 4x - 1) - 5)) - 2) - 1)/(2(-1e^(1(1(-2x^2 + 4x - 1)^2 + 3(-2x^2 + 4x - 1) - 5)) - 2) + 1) and g(x) = (1((1(1x^2 - 4x - 2))/(-1(1x^2 - 4x - 2) + 2)) + 1)/(-2((1(1x^2 - 4x - 2))/(-1(1x^2 - 4x - 2) + 2))) from x = -0.6 to x = 4.6. Round to 1 decimal place.

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

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[User]
Find the area of the region bounded by the curves f(x) = -2cos(2π((-1(1|(5x - 1) + 1| + 1) + 1)/(2(1|(5x - 1) + 1| + 1) - 1)) + 1) + 2, g(x) = -3((2(1e^(2x) - 1) - 2)/(-1(1e^(2x) - 1) + 2)) - 3, x = -0.1, and x = -0.0. Round your answer to 1 decimal place.

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

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[User]
Calculate the area enclosed between the functions f(x) = -1((1(-2|((1x - 2)/(2x - 3))| - 1) - 2)/(-3(-2|((1x - 2)/(2x - 3))| - 1) + 1))^2 - 4 and g(x) = (2(5(4x^2 - 1x - 5) - 1))/(-2(5(4x^2 - 1x - 5) - 1) + 3) from x = -1.1 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(-2(-3|(-3e^(-1x)) + 1| + 1)^2 + 3(-3|(-3e^(-1x)) + 1| + 1) + 1) + 5, g(x) = 2((3(-3cos(2πx) + 1) + 2)/(-3(-3cos(2πx) + 1) + 1)) - 4, x = 1.2, and x = 1.8. Round your answer to 1 decimal place.

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

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[User]
Find the area of the region bounded by the curves f(x) = -1|(-1(1(1sin(3πx + 2))^2 + 2(1sin(3πx + 2)) - 2)^2 + 4)| + 2, g(x) = 1((-3(-2x + 3))/(1(-2x + 3) + 1)) + 4, x = -4.9, and x = -4.6. 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(-3(3cos(1π(-2|x - 2| - 1) - 3) - 1)) + 1, g(x) = -2cos(1π(-1|(-2|x + 2| - 1) + 3| - 2)) - 3, x = -1.2, and x = -0.9. Round your answer to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = -1|(2cos(2π(-1|(-1|x| - 2) + 1|) - 3) - 1) + 2| and g(x) = -2cos(2π(1((2x + 2)/(-3x + 2)) - 5) - 2) + 1 from x = 1.2 to x = 1.8. Round to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = 4(1((1((3x + 3)/(2x + 3)) + 1)/(-2((3x + 3)/(2x + 3)) - 3))^2 - 5((1((3x + 3)/(2x + 3)) + 1)/(-2((3x + 3)/(2x + 3)) - 3)) - 3) + 5, g(x) = 5(-3cos(1π(1x^2 + 1x + 1) + 2) - 1) - 4, x = 1.9, and x = 2.2. 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) = -2sin(2π(1|(4((-2x - 3)/(1x))^2 + 2((-2x - 3)/(1x)) + 4) - 1|) - 1) - 1 and g(x) = -3|((-2((2x - 2)/(1x + 2)) + 2)/(1((2x - 2)/(1x + 2)))) - 2| + 3 between the vertical lines x = 1.7 and x = 1.8. Round to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = 3cos(3π(3|(1|(-2x^2 - 2x - 4) + 1| - 2) + 2| + 3)) + 1 and g(x) = 2|(-1(1x + 4)^2) + 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) = (3(-1((-2(2x^2 - 1x + 2) + 3)/(-2(2x^2 - 1x + 2)))^2 - 5((-2(2x^2 - 1x + 2) + 3)/(-2(2x^2 - 1x + 2))) + 3) - 1)/(3(-1((-2(2x^2 - 1x + 2) + 3)/(-2(2x^2 - 1x + 2)))^2 - 5((-2(2x^2 - 1x + 2) + 3)/(-2(2x^2 - 1x + 2))) + 3)), g(x) = 2e^(-2(1(1|x - 2|)^2 + 1(1|x - 2|) - 2)) + 1, x = 1.1, and x = 3.4. Round your answer to 1 decimal place.

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

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[User]
Calculate the area enclosed between the functions f(x) = 2((-1(-2(2x + 2)^2 - 1(2x + 2)) + 2)/(1(-2(2x + 2)^2 - 1(2x + 2)) + 3))^2 - 1((-1(-2(2x + 2)^2 - 1(2x + 2)) + 2)/(1(-2(2x + 2)^2 - 1(2x + 2)) + 3)) + 4 and g(x) = 1|((-1((3x - 2)/(-2x + 1)) - 3)/(-2((3x - 2)/(-2x + 1)) - 1)) + 1| + 2 from x = 0.7 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(3(-3e^(-1(-1x^2 + 1x + 5)) - 1)^2 + 3(-3e^(-1(-1x^2 + 1x + 5)) - 1) + 3) - 3)/(3(3(-3e^(-1(-1x^2 + 1x + 5)) - 1)^2 + 3(-3e^(-1(-1x^2 + 1x + 5)) - 1) + 3) - 2), g(x) = 3|(-3(-2x - 1) + 5) + 2| - 2, x = -1.8, 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(1(-3(2cos(2πx - 3) + 3)^2 + 2(2cos(2πx - 3) + 3) - 5) + 2) - 2)/(-3(1(-3(2cos(2πx - 3) + 3)^2 + 2(2cos(2πx - 3) + 3) - 5) + 2) + 4), g(x) = 1|(5(-4x^2 + 2x) + 5) - 3| - 2, x = -0.3, and x = 0.0. Round your answer to 1 decimal place.

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

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

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


[User]
Find the area of the region bounded by the curves f(x) = 1((-2((1(1|x - 1| + 2) - 3)/(-2(1|x - 1| + 2) + 3)) - 3)/(1((1(1|x - 1| + 2) - 3)/(-2(1|x - 1| + 2) + 3)) + 2)) - 2, g(x) = 1(-5(1sin(3πx - 3)) - 5) + 1, x = -0.7, and x = -0.4. Round your answer to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = -2|(2|(-4(1|x + 2| + 2) + 5) - 3|) + 1| + 2, g(x) = -2|((1(3|x + 2| - 2) - 3)/(-2(3|x + 2| - 2) + 1)) + 2| + 2, x = -2.8, and x = -1.2. Round your answer to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = -3(3sin(3π(-3|(-5x^2 - 3x + 1) - 1|) + 2) + 1) - 3, g(x) = 1(-3sin(1π(-4x + 1))) + 3, x = 1.2, 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) = 4(-2sin(2π(3|(5x - 5) - 3| - 2) - 1) - 3)^2 + 2(-2sin(2π(3|(5x - 5) - 3| - 2) - 1) - 3) + 2 and g(x) = 2(-1(-1|x| + 1) + 3)^2 - 4(-1(-1|x| + 1) + 3) - 1 between the vertical lines x = 2.4 and x = 2.5. Round to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = 5(5(3|((-1x + 3)/(3x)) - 1|) - 4)^2 + 3, g(x) = -4(-2((-2x + 1)/(-2x - 3))^2 + 2((-2x + 1)/(-2x - 3)) - 4) + 3, x = 0.6, and x = 0.7. Round your answer to 1 decimal place.

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


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

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


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

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = 1|(-5(-1|(-1x + 2) - 1| + 3) + 2)| and g(x) = 2|((-2(-5x + 3) - 1)/(-1(-5x + 3) - 3)) + 1| - 3 between the vertical lines x = 1.1 and x = 1.5. Round to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = (-2(-3(3e^(-1(-2x^2 - 2x + 4)) + 3)^2 - 5(3e^(-1(-2x^2 - 2x + 4)) + 3) + 5) - 1)/(-3(-3(3e^(-1(-2x^2 - 2x + 4)) + 3)^2 - 5(3e^(-1(-2x^2 - 2x + 4)) + 3) + 5) - 3) and g(x) = -1|(-1((3x)/(2x - 1))^2 - 4((3x)/(2x - 1)) - 1) + 2| + 2 from x = 0.0 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) = 4((-3(-2((2x + 1)/(-1x + 2))) + 3)/(2(-2((2x + 1)/(-1x + 2))) - 1)) and g(x) = 3|(-3cos(3π(3x^2 - 3x + 2) - 3) + 1) + 3| + 3 from x = -1.0 to x = -0.9. Round to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = -1cos(1π((1(1|((2x + 2)/(-1x + 2)) - 1| + 2) + 1)/(-1(1|((2x + 2)/(-1x + 2)) - 1| + 2) - 1))) + 3 and g(x) = 3((-3(2cos(2πx - 3)))/(-3(2cos(2πx - 3)) - 1)) + 2 from x = 1.3 to x = 1.7. Round to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = (2((2(-4((1x + 3)/(-3x - 2))^2 - 1((1x + 3)/(-3x - 2)) + 4) + 1)/(1(-4((1x + 3)/(-3x - 2))^2 - 1((1x + 3)/(-3x - 2)) + 4) - 2)) - 1)/(2((2(-4((1x + 3)/(-3x - 2))^2 - 1((1x + 3)/(-3x - 2)) + 4) + 1)/(1(-4((1x + 3)/(-3x - 2))^2 - 1((1x + 3)/(-3x - 2)) + 4) - 2)) - 3), g(x) = -1|((3(-2sin(2πx + 1) - 3) + 3)/(2(-2sin(2πx + 1) - 3) + 3)) - 1| - 1, x = -1.2, 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) = -2|(1cos(1π(-2((-3x + 2)/(-2x))^2 + 4((-3x + 2)/(-2x)) + 5) - 3)) - 2| - 3 and g(x) = (-3((-1(5x^2 - 3) - 1)/(3(5x^2 - 3))) - 2)/(-2((-1(5x^2 - 3) - 1)/(3(5x^2 - 3))) + 1) between the vertical lines x = -0.7 and x = 0.7. Round to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = 3|(1((2(-2x + 5) - 1)/(-2(-2x + 5)))^2 + 1((2(-2x + 5) - 1)/(-2(-2x + 5))) - 1) + 2| + 3, g(x) = 2|((3((2x + 2)/(-2x + 3)))/(-2((2x + 2)/(-2x + 3)) + 3)) + 2| - 3, x = 0.2, 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) = 5(1cos(1π((-3(2x^2 - 2x + 5))/(-1(2x^2 - 2x + 5) - 1)) - 2) - 2) - 2 and g(x) = -1|(-2|((-3x + 3)/(-2x + 3)) - 1| + 1) - 1| - 2 between the vertical lines x = 1.3 and x = 1.9. Round to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = (-3(2|(-5(1x^2 + 3x + 3)^2 + 4(1x^2 + 3x + 3) - 3) + 1| - 1) - 2)/(-3(2|(-5(1x^2 + 3x + 3)^2 + 4(1x^2 + 3x + 3) - 3) + 1| - 1) + 2) and g(x) = -4(3sin(2π(4x - 5) + 3) + 1)^2 - 2(3sin(2π(4x - 5) + 3) + 1) + 5 between the vertical lines x = -4.5 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) = 2|(-2cos(3π(3|(2|x - 2| + 1) + 2|) - 1) - 2)| and g(x) = -2|((-1((1x - 1)/(-1x + 2)) + 2)/(1((1x - 1)/(-1x + 2)) - 2)) + 2| + 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]
Determine the area of the region enclosed by the graphs of f(x) = (3(-4((-2(-2sin(1πx + 3) + 2) + 2)/(-1(-2sin(1πx + 3) + 2) - 1))^2 + 4))/(-3(-4((-2(-2sin(1πx + 3) + 2) + 2)/(-1(-2sin(1πx + 3) + 2) - 1))^2 + 4) + 1) and g(x) = (-1((-1(-1x^2 - 2x + 3) + 1)/(-3(-1x^2 - 2x + 3))) - 2)/(-3((-1(-1x^2 - 2x + 3) + 1)/(-3(-1x^2 - 2x + 3))) + 2) between the vertical lines x = -0.6 and x = -0.3. Round to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = 1|(-1|(-2|(-1x^2 - 2x + 4) + 3| + 2)|) - 3| + 3 and g(x) = 3|(1(2x^2 - 3x - 3)^2 + 1(2x^2 - 3x - 3) - 5) + 2| + 3 from x = 1.6 to x = 1.8. Round to 1 decimal place.

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


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

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = 1(-4(5(3|x + 2|)^2 - 5(3|x + 2|)) - 4) + 4 and g(x) = (-3(-2(3x + 2)^2 + 1(3x + 2) + 2) - 1)/(2(-2(3x + 2)^2 + 1(3x + 2) + 2) - 1) between the vertical lines x = -1.6 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) = 4(-1(-1|(1|x + 2| + 1) + 1| + 2))^2 + 2(-1(-1|(1|x + 2| + 1) + 1| + 2)) - 4 and g(x) = (1(-2(-2cos(1πx - 1) + 2)^2 + 5) + 1)/(-1(-2(-2cos(1πx - 1) + 2)^2 + 5) + 2) from x = -0.1 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) = (-3(-1(4(-1x - 3) - 3) - 4) + 3)/(-1(-1(4(-1x - 3) - 3) - 4) + 2) and g(x) = 1|(1|((-1x + 3)/(2x)) + 3| + 2)| - 2 between the vertical lines x = -0.3 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) = 3(2(4(2cos(2πx)) - 3) + 2) + 4 and g(x) = (-3(-3|(-4x + 4) + 3| + 3) + 1)/(-3(-3|(-4x + 4) + 3| + 3) + 4) from x = -4.8 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) = 2(-1|(-3(-3|x - 1| - 1)) - 2|) + 3, g(x) = (3(2sin(3π(1|x + 1| + 1) - 2) + 3) + 1)/(-2(2sin(3π(1|x + 1| + 1) - 2) + 3) + 3), x = 4.1, and x = 4.6. Round your answer to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = -2(-1|(5(2e^(-2x) - 2) + 5) - 3| + 2) - 5, g(x) = 1cos(3π(-1(-1x^2 - 2x + 1) - 2) - 3) + 3, x = -0.2, 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) = (-2(-3sin(2π((-3((-2x + 3)/(3x + 2)) - 3)/(-1((-2x + 3)/(3x + 2)))) - 1) + 2) + 2)/(1(-3sin(2π((-3((-2x + 3)/(3x + 2)) - 3)/(-1((-2x + 3)/(3x + 2)))) - 1) + 2)), g(x) = (2(4(-2x^2 - 1x + 1)^2 + 4(-2x^2 - 1x + 1) + 2) + 1)/(1(4(-2x^2 - 1x + 1)^2 + 4(-2x^2 - 1x + 1) + 2) - 3), x = 2.2, and x = 2.3000000000000003. Round your answer to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = (-3(-2(1(-2cos(3πx) - 3)^2 + 3(-2cos(3πx) - 3) + 2)^2 + 4(1(-2cos(3πx) - 3)^2 + 3(-2cos(3πx) - 3) + 2) + 1) - 3)/(2(-2(1(-2cos(3πx) - 3)^2 + 3(-2cos(3πx) - 3) + 2)^2 + 4(1(-2cos(3πx) - 3)^2 + 3(-2cos(3πx) - 3) + 2) + 1) - 1), g(x) = 3|(1e^(2(3x - 3))) - 1| + 2, x = 0.5, and x = 0.8. Round your answer to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = -3((3(-2(5x^2 + 4x + 2) + 2) + 2)/(-3(-2(5x^2 + 4x + 2) + 2) - 3)) - 3 and g(x) = (2(2e^(1(2|x + 1| + 3)) - 3) + 1)/(2(2e^(1(2|x + 1| + 3)) - 3) - 1) from x = -0.8 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) = (-1(-1(-4(3x^2 + 1x - 4) - 4) + 5))/(-1(-1(-4(3x^2 + 1x - 4) - 4) + 5) - 2) and g(x) = -1sin(3π(2((1x - 2)/(2x - 1))^2 + 5((1x - 2)/(2x - 1)) + 3) - 1) between the vertical lines x = -1.7 and x = -1.5999999999999999. 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|(-3|x + 2|) - 2| + 2)^2 - 4(1|(-3|x + 2|) - 2| + 2) - 3) + 2| + 3, g(x) = (-1(2sin(2π(1|x + 2| - 2) + 3) + 2) - 2)/(3(2sin(2π(1|x + 2| - 2) + 3) + 2) - 1), x = -2.4, and x = -2.2. Round your answer to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = 1cos(3π(-1(-5(1x^2 + 3x + 1)^2 - 4(1x^2 + 3x + 1) - 2) + 2) + 1), g(x) = 2cos(2π(1|(5x + 2) + 3|) - 3) - 2, x = -3.5, and x = -3.4. Round your answer to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = (2(-2e^(-2(5(1|x| - 3) + 4))) + 3)/(-3(-2e^(-2(5(1|x| - 3) + 4)))) and g(x) = -4(2(-5x^2 + 2x + 1) + 1) + 1 from x = -0.4 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|(1(-1|(2x - 3) + 2| + 3) - 1) + 2| - 2 and g(x) = 4((3(1|x + 3| - 2) - 3)/(1(1|x + 3| - 2) - 3)) + 5 from x = -3.7 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) = -3((-3(1|(-3|x - 3| - 2) - 2| - 3) + 3)/(-3(1|(-3|x - 3| - 2) - 2| - 3) - 1))^2 + 3((-3(1|(-3|x - 3| - 2) - 2| - 3) + 3)/(-3(1|(-3|x - 3| - 2) - 2| - 3) - 1)) - 4, g(x) = -2(3(2|x + 2| - 2) - 3) - 5, x = -3.4, 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) = 1(4((-1(-4x + 4) + 3)/(-1(-4x + 4) - 3)) + 1) + 1 and g(x) = (2(-2|(1x^2 - 2x - 5)| + 3) + 3)/(-2(-2|(1x^2 - 2x - 5)| + 3)) 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]
Find the area of the region bounded by the curves f(x) = 2(2((-1(-3|x + 2|))/(2(-3|x + 2|) + 2))^2 - 2) - 3, g(x) = 1(-1|(-3x^2 + 5x - 4) + 1| - 3) + 1, x = -0.1, and x = 1.8. Round your answer to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = -3sin(3π(2(2(3|x + 3| - 2)^2 - 3(3|x + 3| - 2) + 5) - 4)) + 3 and g(x) = 1((1(2x - 1) + 1)/(1(2x - 1) + 3)) + 3 between the vertical lines x = -2.9 and x = -2.8. Round to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = -5((-1(-1(1x + 2)^2 + 3))/(2(-1(1x + 2)^2 + 3)))^2 + 4((-1(-1(1x + 2)^2 + 3))/(2(-1(1x + 2)^2 + 3))) - 1 and g(x) = -2|(-2(3x^2 - 2x - 2) + 2) + 3| + 2 between the vertical lines x = 1.4 and x = 1.8. Round to 1 decimal place.

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


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

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = -1|(-5((-1(2sin(3πx + 3) + 2) + 2)/(1(2sin(3πx + 3) + 2) - 3))^2 - 3((-1(2sin(3πx + 3) + 2) + 2)/(1(2sin(3πx + 3) + 2) - 3)) - 1) + 3| - 3 and g(x) = (-1(2sin(1π(-2x - 3) - 1) + 1) + 1)/(3(2sin(1π(-2x - 3) - 1) + 1) + 1) between the vertical lines x = -3.5 and x = -3.3. Round to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = -5(-2(4(1sin(2πx + 1) + 1) + 4) + 1) + 2 and g(x) = 4(-1(-5x - 1) + 1)^2 + 5(-1(-5x - 1) + 1) - 4 from x = -1.3 to x = 0.4. Round to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = (1(-2(1e^(-1(-1|x - 1| + 2)) + 3) + 1) + 2)/(-1(-2(1e^(-1(-1|x - 1| + 2)) + 3) + 1) - 2), g(x) = -3|(2(-3sin(2πx + 2) - 2) - 5) + 2| + 2, x = -0.6, and x = 0.4. Round your answer to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = -3(1((3(1x^2 + 1x - 4) + 1)/(3(1x^2 + 1x - 4) + 3)) - 2) - 2, g(x) = (-1((2(2|x + 2| + 3) + 3)/(2(2|x + 2| + 3))) + 2)/(-1((2(2|x + 2| + 3) + 3)/(2(2|x + 2| + 3))) - 2), x = -1.7, and x = 0.8. Round your answer to 1 decimal place.

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


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

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = -5(1cos(1π(-4(-1x^2 - 5x - 3) - 4) - 3))^2 + 2(1cos(1π(-4(-1x^2 - 5x - 3) - 4) - 3)) and g(x) = -1|(-2((-1x - 2)/(1x + 1)) - 4) + 2| - 2 between the vertical lines x = 4.4 and 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|(-1|(-3|(-1cos(1πx + 1) + 3) - 2|) - 2| + 1) + 3|, g(x) = (-2(1e^(-2(4x^2 - 3x + 5)) + 2) - 2)/(2(1e^(-2(4x^2 - 3x + 5)) + 2) - 3), x = -1.0, and x = 0.4. Round your answer to 1 decimal place.

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


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

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = (-3(3((2(-5x - 2))/(-1(-5x - 2) + 2))^2 + 5((2(-5x - 2))/(-1(-5x - 2) + 2)) - 3) - 1)/(2(3((2(-5x - 2))/(-1(-5x - 2) + 2))^2 + 5((2(-5x - 2))/(-1(-5x - 2) + 2)) - 3) - 1) and g(x) = 2|(1|(-1x + 5) - 3| - 1)| - 3 between the vertical lines x = -0.5 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) = 2((1(3|(5x^2 + 1x + 5) - 1| + 1) - 1)/(-3(3|(5x^2 + 1x + 5) - 1| + 1))) + 4, g(x) = 2(3sin(1π((3x - 1)/(-1x)) + 1) - 1)^2 - 2(3sin(1π((3x - 1)/(-1x)) + 1) - 1) + 1, x = 0.1, and x = 0.2. Round your answer to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = -2(-1sin(1π((-2((3x - 3)/(-2x)) - 3)/(2((3x - 3)/(-2x)) + 1)) + 2) - 2) and g(x) = -4(2sin(3π((1x)/(-3x - 1))) - 2) between the vertical lines x = -0.4 and x = -0.30000000000000004. Round to 1 decimal place.

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

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

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[User]
Calculate the area enclosed between the functions f(x) = 4(1sin(1π(3(1x^2 - 4x) - 1))) - 4 and g(x) = -1cos(2π(-1|(3x^2 - 2x) - 2| - 3) + 3) - 2 from x = 2.8 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) = 3((-1(3|(-3|x + 2|) - 2| - 2) + 2)/(2(3|(-3|x + 2|) - 2| - 2) + 3)) + 1, g(x) = (-1(1(-3sin(2πx + 3) - 3)^2 - 1(-3sin(2πx + 3) - 3) + 5) - 1)/(3(1(-3sin(2πx + 3) - 3)^2 - 1(-3sin(2πx + 3) - 3) + 5) - 1), 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((1(1(-2x - 2) + 3) + 3)/(-3(1(-2x - 2) + 3) + 1)) + 1 and g(x) = (-2(1sin(3π(-2x + 4) - 2) - 3))/(-1(1sin(3π(-2x + 4) - 2) - 3) - 1) from x = -1.3 to x = -1.1. Round to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = 1(-3sin(2π((-2(-2|x - 1| + 1) + 3)/(-1(-2|x - 1| + 1) + 2)) - 2)) + 1, g(x) = 3|(-3((1x + 2)/(-3x - 3)) + 1) - 3| - 3, x = -2.5, and x = -0.5. Round your answer to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = -2(-4(-2|(-2e^(-2x)) - 2|)) - 4 and g(x) = 4((1(-1sin(1πx + 3)) + 1)/(-2(-1sin(1πx + 3)))) - 4 between the vertical lines x = 2.1 and x = 3.0. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = 3(5(2e^(2((1x + 1)/(-2x - 1))) - 1) - 2)^2 - 3(5(2e^(2((1x + 1)/(-2x - 1))) - 1) - 2) + 5 and g(x) = -3cos(3π(4((-2x - 2)/(2x + 1))^2 + 1((-2x - 2)/(2x + 1))) + 3) + 3 from x = -1.3 to x = -1.1. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = -1(-1(-2|(3x - 3) - 1| + 3) + 3) + 5 and g(x) = 3sin(3π(-5(3|x + 2| - 3) + 5)) + 1 from x = 1.7 to x = 1.8. 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((2(-4x - 4) - 2)/(3(-4x - 4) + 1)) + 3)/(3((2(-4x - 4) - 2)/(3(-4x - 4) + 1)) + 3)) - 3) and g(x) = (-1(-1(-3e^(-1x) + 3) + 2) + 3)/(2(-1(-3e^(-1x) + 3) + 2) + 1) between the vertical lines x = -1.1 and x = -1.0. Round to 1 decimal place.

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

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[User]
Calculate the area enclosed between the functions f(x) = 2((2(-1|(2x^2 - 2x + 5) - 3| - 3) + 1)/(-3(-1|(2x^2 - 2x + 5) - 3| - 3) - 2)) + 2 and g(x) = 3sin(1π(2(-3x^2 + 5x - 4)^2 + 4(-3x^2 + 5x - 4) + 3) - 3) + 2 from x = -2.7 to x = -2.6. Round to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = 1((-2((-3((-3x + 3)/(-1x + 3)) + 1)/(2((-3x + 3)/(-1x + 3)) + 2)) + 2)/(3((-3((-3x + 3)/(-1x + 3)) + 1)/(2((-3x + 3)/(-1x + 3)) + 2)) + 1)) + 4 and g(x) = 4((1(5x^2 - 3x - 1) - 1)/(3(5x^2 - 3x - 1) + 2)) + 3 between the vertical lines x = -0.2 and x = 0.6. Round to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = -1|(1((-1(-4x^2 + 5x + 5) - 2)/(1(-4x^2 + 5x + 5) + 3)) - 3)| - 2, g(x) = -1|(1cos(3π((3x + 2)/(-2x - 1)) + 3) + 2) + 3| - 2, x = 2.2, and x = 2.3000000000000003. Round your answer to 1 decimal place.

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

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


[User]
Find the area of the region bounded by the curves f(x) = (2(2|((3(-1|x + 1| - 1) + 1)/(1(-1|x + 1| - 1) + 1)) - 1| + 1))/(-2(2|((3(-1|x + 1| - 1) + 1)/(1(-1|x + 1| - 1) + 1)) - 1| + 1)), g(x) = -1((-2(2cos(2πx + 2)) + 2)/(-3(2cos(2πx + 2)) - 2))^2 - 1, x = -1.5, and x = -1.2. Round your answer to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = 2((2(3(-4x^2 + 1x - 5) - 3))/(-3(3(-4x^2 + 1x - 5) - 3) + 2))^2 - 3((2(3(-4x^2 + 1x - 5) - 3))/(-3(3(-4x^2 + 1x - 5) - 3) + 2)) - 4, g(x) = -5((1(-2x^2 + 2x - 2) + 2)/(1(-2x^2 + 2x - 2) - 2)), x = -0.4, and x = 1.4. Round your answer to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = -2(3|(2|(-3cos(2πx + 2) + 2) + 2| - 2)| - 1) - 5 and g(x) = -2|(4((1x + 3)/(3x)) - 4)| + 1 from x = 0.1 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) = (-2(2|(-1sin(1π(-3x - 5) + 2) + 1) - 2| - 3))/(2(2|(-1sin(1π(-3x - 5) + 2) + 1) - 2| - 3) + 3) and g(x) = -3(-5(-3x - 3)^2 + 5(-3x - 3) - 4) between the vertical lines x = -1.1 and x = -0.8. Round to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = -3(-3cos(2π((3((2x - 3)/(3x + 1)) + 3)/(1((2x - 3)/(3x + 1)))) - 3) - 1)^2 - 2(-3cos(2π((3((2x - 3)/(3x + 1)) + 3)/(1((2x - 3)/(3x + 1)))) - 3) - 1) + 4 and g(x) = -1sin(1π(-1((3x + 2)/(1x + 2)) - 4)) - 1 between the vertical lines x = 2.2 and x = 2.3000000000000003. Round to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = -5(1sin(1π(1|(-2|x + 2| + 2)| - 3) - 2)) + 5 and g(x) = 2e^(1(-4(-2x - 3) + 5)) between the vertical lines x = -2.9 and x = -2.8. Round to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = 1|((2(2cos(1π(3x - 5)) + 2) + 3)/(-1(2cos(1π(3x - 5)) + 2) + 3)) + 3| - 2, g(x) = 2|(3(-4x^2 - 1x - 5)^2 + 5(-4x^2 - 1x - 5) + 1) - 1| - 2, x = -0.4, and x = -0.2. 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|(1(1cos(2πx + 1) - 1)^2 - 1(1cos(2πx + 1) - 1) - 3) - 3| - 3) - 4, g(x) = -1sin(3π(-1|(-5x^2 + 1x - 4) - 1| - 2)) - 1, x = -4.7, and x = -4.6. Round your answer to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = 3cos(2π(-3(1(4x - 5) - 2) - 3) + 1) + 2, g(x) = -2|(2|(3cos(1πx + 3) + 2) - 2| - 3) - 2| + 2, x = 0.2, and x = 0.30000000000000004. Round your answer to 1 decimal place.

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

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[User]
Find the area of the region bounded by the curves f(x) = (-1((-2(-1cos(2π(4x^2 + 2x + 3) - 3) + 1) - 3)/(3(-1cos(2π(4x^2 + 2x + 3) - 3) + 1) - 2)) + 1)/(-3((-2(-1cos(2π(4x^2 + 2x + 3) - 3) + 1) - 3)/(3(-1cos(2π(4x^2 + 2x + 3) - 3) + 1) - 2))), g(x) = 4(-3((2x - 3)/(3x + 3))^2 - 2((2x - 3)/(3x + 3)) + 1)^2 - 4(-3((2x - 3)/(3x + 3))^2 - 2((2x - 3)/(3x + 3)) + 1) - 1, x = 1.0, and x = 1.1. Round your answer to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = 1(-3(1(3sin(1πx + 1) + 2)^2 + 3(3sin(1πx + 1) + 2) + 3) + 2) + 4, g(x) = (3(-1(-1x^2 - 5x + 4)^2 - 4(-1x^2 - 5x + 4) - 1) - 3)/(3(-1(-1x^2 - 5x + 4)^2 - 4(-1x^2 - 5x + 4) - 1) + 1), x = 0.7, and x = 1.0. Round your answer to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = 3(3(3e^(-1((-3x + 1)/(1x + 3))) - 1) + 1)^2 + 3(3(3e^(-1((-3x + 1)/(1x + 3))) - 1) + 1) - 2, g(x) = -3cos(2π(2((2x - 2)/(3x + 1))^2 + 4((2x - 2)/(3x + 1)) + 4) - 3) + 1, x = -1.6, and x = -1.5. Round your answer to 1 decimal place.

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

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

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[User]
Determine the area of the region enclosed by the graphs of f(x) = 5(-1|(-1|(4x^2 - 1x - 4) + 1| + 1) + 1| + 3) - 5 and g(x) = 3|(-2sin(1π(4x + 5) + 3) + 2)| - 1 between the vertical lines x = -0.2 and x = 0.0. Round to 1 decimal place.

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