[User]
Calculate the area enclosed between the functions f(x) = 1(5((-1(1|x - 2| - 1) - 3)/(-2(1|x - 2| - 1) - 2))^2 - 2((-1(1|x - 2| - 1) - 3)/(-2(1|x - 2| - 1) - 2)) + 1) and g(x) = 4(-1(1sin(1πx - 1))^2 + 2(1sin(1πx - 1)) + 5) - 4 from x = 3.7 to x = 3.9. Round to 1 decimal place.

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

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[User]
Determine the area of the region enclosed by the graphs of f(x) = -2(-3|(-2|(2x^2 - 4x + 5) - 3| - 2) + 2| - 1) - 1 and g(x) = -3(-3|(-2sin(2πx)) + 1| + 3) + 4 between the vertical lines x = 1.0 and x = 1.2. Round to 1 decimal place.

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


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

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


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

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


[User]
Calculate the area enclosed between the functions f(x) = 2sin(2π(1(-1|(1|x + 3| - 1) + 3| + 1)^2 - 2(-1|(1|x + 3| - 1) + 3| + 1) + 5) - 3) + 2 and g(x) = 1(-2|(1sin(2πx - 3) + 2) - 3| + 3)^2 - 2(-2|(1sin(2πx - 3) + 2) - 3| + 3) + 1 from x = 4.8 to x = 4.9. Round to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = 3cos(1π(2((-2((-1x)/(-2x - 2)) - 1)/(-2((-1x)/(-2x - 2))))^2 + 3((-2((-1x)/(-2x - 2)) - 1)/(-2((-1x)/(-2x - 2)))) + 2) + 2) - 2 and g(x) = (2(-2sin(3π(-2|x - 1| - 3) + 3) + 1) + 2)/(1(-2sin(3π(-2|x - 1| - 3) + 3) + 1) + 3) from x = -0.2 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) = 2(4(-3((-2x + 3)/(-3x - 3))^2 + 2((-2x + 3)/(-3x - 3)))^2 + 1(-3((-2x + 3)/(-3x - 3))^2 + 2((-2x + 3)/(-3x - 3))) - 2)^2 - 2(4(-3((-2x + 3)/(-3x - 3))^2 + 2((-2x + 3)/(-3x - 3)))^2 + 1(-3((-2x + 3)/(-3x - 3))^2 + 2((-2x + 3)/(-3x - 3))) - 2) - 4 and g(x) = -2(1cos(3π(-2x^2 - 4x - 5)) - 2)^2 - 5(1cos(3π(-2x^2 - 4x - 5)) - 2) + 1 between the vertical lines x = 3.8 and x = 3.9. 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((3x + 1)/(-3x + 1)) - 3)/(-2((3x + 1)/(-3x + 1)) + 3)) - 1| - 1) - 3)/(2(1|((3((3x + 1)/(-3x + 1)) - 3)/(-2((3x + 1)/(-3x + 1)) + 3)) - 1| - 1) - 3), g(x) = -2sin(1π(-3|(-1x^2 - 4x - 1) - 1| - 3) + 1) - 1, x = 3.3, and x = 3.4. Round your answer to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = 4(-1|(-3((2x + 3)/(2x - 1)) - 4) - 1| + 1) + 2, g(x) = -2(-1sin(3π((-3x - 1)/(-2x + 3))) - 1)^2 - 2(-1sin(3π((-3x - 1)/(-2x + 3))) - 1) - 1, x = -0.6, and x = -0.1. Round your answer to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = 3(1(2e^(-2((1x - 1)/(2x - 1)))) - 4)^2 + 4(1(2e^(-2((1x - 1)/(2x - 1)))) - 4) + 3, g(x) = 2(-1((2x)/(2x))^2 - 2((2x)/(2x)) + 3) + 2, x = 0.8, 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(4(-1|(-3x^2 - 5x) - 3| - 1)^2 - 2(-1|(-3x^2 - 5x) - 3| - 1) - 2) - 2)/(-2(4(-1|(-3x^2 - 5x) - 3| - 1)^2 - 2(-1|(-3x^2 - 5x) - 3| - 1) - 2) + 3), g(x) = 2(3(1x - 2)^2 + 1) - 5, x = 1.4, and x = 2.6. Round your answer to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = -2e^(1(-3|(-1|(3|x - 3| + 1)| + 3) + 3| + 3)) - 3 and g(x) = -1(-3|((1x + 2)/(-3x - 1)) + 3| + 2)^2 + 3(-3|((1x + 2)/(-3x - 1)) + 3| + 2) + 1 from x = 0.0 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) = (2(-2|(-5(2|x + 1| - 2)^2 + 2(2|x + 1| - 2) - 2) + 1| + 3) + 3)/(1(-2|(-5(2|x + 1| - 2)^2 + 2(2|x + 1| - 2) - 2) + 1| + 3) + 1) and g(x) = 5((2(1|x - 3| + 3) - 3)/(3(1|x - 3| + 3) - 2))^2 - 5((2(1|x - 3| + 3) - 3)/(3(1|x - 3| + 3) - 2)) - 1 between the vertical lines x = -2.4 and 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) = (3(2(3cos(3π(-1x + 1) - 2) - 1)^2 - 5(3cos(3π(-1x + 1) - 2) - 1) - 1) + 1)/(-3(2(3cos(3π(-1x + 1) - 2) - 1)^2 - 5(3cos(3π(-1x + 1) - 2) - 1) - 1) - 3), g(x) = -1sin(2π((-2(3|x + 1| - 2) - 2)/(-3(3|x + 1| - 2) + 4)) + 2), x = -0.4, 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) = -2cos(2π(-1|(3|(-2x^2 - 1) - 3| + 3) + 2| - 1) + 2) + 2, g(x) = 1|(-1(2x^2 - 1x - 1) + 4) - 3| + 1, x = -0.7, and x = -0.6. Round your answer to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = -1|(-3(-1(-2|x + 3| - 3)^2 - 5(-2|x + 3| - 3) + 2)) - 3| - 1 and g(x) = -2(1e^(2(-4x^2 + 1x - 5)) + 3)^2 - 3(1e^(2(-4x^2 + 1x - 5)) + 3) + 5 from x = -2.5 to x = -1.2. Round to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = 2((-2(1e^(-1(2x + 3)) + 2))/(-3(1e^(-1(2x + 3)) + 2) + 4))^2 + 4((-2(1e^(-1(2x + 3)) + 2))/(-3(1e^(-1(2x + 3)) + 2) + 4)) - 1, g(x) = 2(4(1x^2 + 4x)) + 3, x = -4.0, and x = 0.3. Round your answer to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = (-2(2(5((1x + 2)/(2x + 3)) - 3)^2 - 4(5((1x + 2)/(2x + 3)) - 3) + 3) - 2)/(3(2(5((1x + 2)/(2x + 3)) - 3)^2 - 4(5((1x + 2)/(2x + 3)) - 3) + 3) - 2) and g(x) = (2(3|((-2x + 1)/(-2x)) - 2| - 2) - 3)/(2(3|((-2x + 1)/(-2x)) - 2| - 2) + 3) between the vertical lines x = -2.0 and x = -0.3. Round to 1 decimal place.

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


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

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


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

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[User]
Calculate the area enclosed between the functions f(x) = -4((-3(1|((1x + 2)/(2x - 1))| + 3) - 2)/(-2(1|((1x + 2)/(2x - 1))| + 3) - 2)) and g(x) = -2|(-2|(2x) + 2| - 2) + 3| + 3 from x = -2.3 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) = 3(-3e^(-2((2((-1x - 3)/(-2x + 3)) - 1)/(-3((-1x - 3)/(-2x + 3)) - 2)))) + 5 and g(x) = -1(1((1x + 2)/(3x))^2 + 5((1x + 2)/(3x)) + 3)^2 + 4(1((1x + 2)/(3x))^2 + 5((1x + 2)/(3x)) + 3) from x = -0.0 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) = 1|((-2(1|(-2|x + 2|) - 2|))/(-2(1|(-2|x + 2|) - 2|) + 1)) + 3| + 1 and g(x) = (-1(3cos(1π(-5x - 1) + 2) + 1) + 3)/(2(3cos(1π(-5x - 1) + 2) + 1) - 1) between the vertical lines x = -4.6 and x = -4.4. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = (-2((2((3(-1x^2 + 4x - 2) - 3)/(1(-1x^2 + 4x - 2))) + 2)/(1((3(-1x^2 + 4x - 2) - 3)/(1(-1x^2 + 4x - 2))) + 1)) - 1)/(-2((2((3(-1x^2 + 4x - 2) - 3)/(1(-1x^2 + 4x - 2))) + 2)/(1((3(-1x^2 + 4x - 2) - 3)/(1(-1x^2 + 4x - 2))) + 1))) and g(x) = -1(2cos(3π(-1x^2 - 5x + 2) - 2)) + 3 from x = 3.2 to x = 3.3000000000000003. Round to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = -2(-3((3((3x - 3)/(3x + 3)) - 2)/(2((3x - 3)/(3x + 3)) + 2)) + 2) and g(x) = -5((-3(1x^2 + 2x - 3) - 2)/(3(1x^2 + 2x - 3) - 2))^2 - 5((-3(1x^2 + 2x - 3) - 2)/(3(1x^2 + 2x - 3) - 2)) + 3 from x = -1.2 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(2|(-2|(-2|x - 2| - 1) + 1| + 3) + 3| - 3) + 1)/(3(2|(-2|(-2|x - 2| - 1) + 1| + 3) + 3| - 3) + 2) and g(x) = -2(-2cos(2π((-2x + 2)/(-2x - 3)) - 3) + 3) + 5 from x = -1.4 to x = -1.2999999999999998. 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(3((1x - 1)/(-2x - 3)) + 5)^2 + 4(3((1x - 1)/(-2x - 3)) + 5) + 1) - 1)/(-1(-1(3((1x - 1)/(-2x - 3)) + 5)^2 + 4(3((1x - 1)/(-2x - 3)) + 5) + 1) - 2) and g(x) = 3(1cos(3π(-1x + 4) + 1)) - 3 between the vertical lines x = 2.0 and x = 2.2. Round to 1 decimal place.

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

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[User]
Find the area of the region bounded by the curves f(x) = 2e^(-1(5(1(1x^2 - 3x - 1)^2 + 4(1x^2 - 3x - 1) - 1)^2 + 2(1(1x^2 - 3x - 1)^2 + 4(1x^2 - 3x - 1) - 1) + 1)) + 1, g(x) = (-1(-1(-2cos(2πx + 1) + 3)^2 + 2(-2cos(2πx + 1) + 3) + 4))/(-2(-1(-2cos(2πx + 1) + 3)^2 + 2(-2cos(2πx + 1) + 3) + 4) - 3), x = -4.8, and x = -4.5. 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) = -3((-2(-1(2|x - 3| + 1) - 5) + 1)/(2(-1(2|x - 3| + 1) - 5))) - 4 and g(x) = 1(-1sin(2π(4x^2 - 5x + 5) + 2) + 3) - 3 between the vertical lines x = -1.4 and x = -1.2999999999999998. Round to 1 decimal place.

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

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

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


[User]
Find the area of the region bounded by the curves f(x) = 1((-1(3|(-1x^2 - 3x - 4) - 2| - 3) - 2)/(-3(3|(-1x^2 - 3x - 4) - 2| - 3) + 4))^2 + 5((-1(3|(-1x^2 - 3x - 4) - 2| - 3) - 2)/(-3(3|(-1x^2 - 3x - 4) - 2| - 3) + 4)) + 5, g(x) = (1(-1(-5x^2 - 5x - 1) - 2) - 2)/(1(-1(-5x^2 - 5x - 1) - 2)), x = -1.1, and x = 0.1. Round your answer to 1 decimal place.

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

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[User]
Calculate the area enclosed between the functions f(x) = -1cos(3π(-1((1(-2x^2 + 3x + 1) - 2)/(2(-2x^2 + 3x + 1) + 2))^2 + 3((1(-2x^2 + 3x + 1) - 2)/(2(-2x^2 + 3x + 1) + 2))) - 2) - 1 and g(x) = (-2(3|((3x - 2)/(2x + 1)) - 3| - 2) + 3)/(3(3|((3x - 2)/(2x + 1)) - 3| - 2) - 2) from x = -0.3 to x = -0.19999999999999998. 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|(1x + 3) - 1| + 3) + 1) - 2| + 2, g(x) = (3(1|(-1x - 1) + 1| - 3) - 2)/(2(1|(-1x - 1) + 1| - 3) + 3), x = -1.3, and x = 0.4. Round your answer to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = -4(1((-2(-4x^2 + 5x - 3) + 3)/(-3(-4x^2 + 5x - 3) - 3)) - 2) + 3, g(x) = 4(-3(-5x + 5) - 2)^2 - 4(-3(-5x + 5) - 2), x = 1.1, and x = 1.2. Round your answer to 1 decimal place.

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


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

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


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

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

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

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

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

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[User]
Calculate the area enclosed between the functions f(x) = -1sin(3π(-2|(-1(-4x - 1) + 3) - 3| - 1) - 2) - 3 and g(x) = -4(-4((-1x - 1)/(2x - 1))^2 - 5((-1x - 1)/(2x - 1)) + 3) - 3 from x = -0.3 to x = 1.1. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = 5(-2|(1((1x + 2)/(2x + 3))^2 - 3((1x + 2)/(2x + 3)) - 1) - 2| - 3)^2 - 4(-2|(1((1x + 2)/(2x + 3))^2 - 3((1x + 2)/(2x + 3)) - 1) - 2| - 3) - 1 and g(x) = 3|(-5(2|x + 3| + 2) + 1) - 3| + 1 from x = -1.4 to x = -1.2999999999999998. Round to 1 decimal place.

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

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

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

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

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[User]
Calculate the area enclosed between the functions f(x) = (-1((-1(2(1sin(3πx - 2))^2 - 4(1sin(3πx - 2)) - 3) + 1)/(-2(2(1sin(3πx - 2))^2 - 4(1sin(3πx - 2)) - 3) + 1)) + 1)/(3((-1(2(1sin(3πx - 2))^2 - 4(1sin(3πx - 2)) - 3) + 1)/(-2(2(1sin(3πx - 2))^2 - 4(1sin(3πx - 2)) - 3) + 1)) + 1) and g(x) = -1(-4(3e^(2x) - 1)^2 + 1(3e^(2x) - 1) + 5)^2 + 4(-4(3e^(2x) - 1)^2 + 1(3e^(2x) - 1) + 5) - 1 from x = -1.9 to 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) = 2|(2|(4(1x^2 + 2x - 5)^2 + 5(1x^2 + 2x - 5) - 2) + 2| + 3) + 1| - 3, g(x) = 2(2e^(-2((-3x + 3)/(2x - 1))))^2 - 5(2e^(-2((-3x + 3)/(2x - 1)))) + 5, x = 1.1, and x = 2.4. Round your answer to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = 1(-2|((-2(-3e^(-1x)) - 1)/(-1(-3e^(-1x)) + 2)) - 2| - 1)^2 + 5(-2|((-2(-3e^(-1x)) - 1)/(-1(-3e^(-1x)) + 2)) - 2| - 1) + 1 and g(x) = (2((2(-3cos(3πx - 2)) - 2)/(1(-3cos(3πx - 2)))) - 3)/(-1((2(-3cos(3πx - 2)) - 2)/(1(-3cos(3πx - 2)))) + 2) from x = -3.1 to 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(4(4(3x + 2)^2 + 3(3x + 2) + 5)^2 + 1(4(3x + 2)^2 + 3(3x + 2) + 5) - 2) + 1)/(-1(4(4(3x + 2)^2 + 3(3x + 2) + 5)^2 + 1(4(3x + 2)^2 + 3(3x + 2) + 5) - 2) - 3) and g(x) = 4(-2(2|x + 3| - 1) + 1)^2 - 3(-2(2|x + 3| - 1) + 1) - 3 between the vertical lines x = -3.3 and x = -2.7. Round to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = (-1(-3|(-1|(-2e^(1x) - 3) + 2| - 2)| - 2))/(-1(-3|(-1|(-2e^(1x) - 3) + 2| - 2)| - 2) + 2), g(x) = (1(-1|((-1x)/(1x + 2)) + 2| + 3) + 1)/(-1(-1|((-1x)/(1x + 2)) + 2| + 3) + 3), x = -2.6, 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) = (-1(1(2cos(2π(-2x + 5)) - 2)^2 + 5(2cos(2π(-2x + 5)) - 2) + 4))/(-2(1(2cos(2π(-2x + 5)) - 2)^2 + 5(2cos(2π(-2x + 5)) - 2) + 4) + 1) and g(x) = 2e^(1((-1((1x + 1)/(1x)) - 3)/(-2((1x + 1)/(1x)) - 2))) + 1 between the vertical lines x = -4.1 and x = -3.6. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = (2((1(-1(3|x + 2| + 1)^2 + 3(3|x + 2| + 1) - 1) + 3)/(-1(-1(3|x + 2| + 1)^2 + 3(3|x + 2| + 1) - 1) - 2)) + 3)/(2((1(-1(3|x + 2| + 1)^2 + 3(3|x + 2| + 1) - 1) + 3)/(-1(-1(3|x + 2| + 1)^2 + 3(3|x + 2| + 1) - 1) - 2)) + 3) and g(x) = -2(1(2x^2 + 2x + 1) - 4) + 3 from x = -2.0 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(-2cos(1π((1x + 1)/(-1x - 3)) + 1) + 1) + 1)/(2(-2cos(1π((1x + 1)/(-1x - 3)) + 1) + 1) - 3)) - 2 and g(x) = -1sin(3π(3((-1x - 1)/(-2x + 3)) + 5) + 3) + 2 from x = -3.2 to x = -3.1. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = (3(-3sin(2π(3|(3x^2 + 2x)| - 1) + 1) + 1) - 2)/(-2(-3sin(2π(3|(3x^2 + 2x)| - 1) + 1) + 1) + 3) and g(x) = 5(2sin(1π(1x + 2) + 1) + 3)^2 - 3(2sin(1π(1x + 2) + 1) + 3) - 1 from x = 3.3 to x = 3.4. 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(-3cos(1πx) - 1)^2 + 1(-3cos(1πx) - 1) + 2) + 2)/(-1(4(-3cos(1πx) - 1)^2 + 1(-3cos(1πx) - 1) + 2) - 3)) and g(x) = 3|(2cos(3π(1x^2 - 1x - 1) + 1) - 2) + 1| - 2 between the vertical lines x = 3.6 and x = 3.7. Round to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = 1((2(1(5x^2 + 3x + 5) - 3) + 2)/(1(1(5x^2 + 3x + 5) - 3) + 2)) + 4 and g(x) = -5(-2((2x + 2)/(3x - 2))^2 + 5((2x + 2)/(3x - 2)) + 2) - 2 between the vertical lines x = -0.2 and 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(1(-4(5x^2 + 4x - 1) + 3)^2) - 4, g(x) = (-1(3cos(1π(-4x - 1) - 3) - 2))/(-2(3cos(1π(-4x - 1) - 3) - 2) - 3), x = -1.1, and x = -0.9. Round your answer to 1 decimal place.

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

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

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[User]
Find the area of the region bounded by the curves f(x) = 2|(-3cos(1π(3|(-3x^2 - 4x + 2)| + 1) + 3) - 2) + 2| - 1, g(x) = -3cos(1π(-1|(-2x - 3) - 2| + 1) + 1) - 1, x = -1.5, and x = -1.4. Round your answer to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = 1|((2(-3cos(3π(-1x) - 2) - 2) - 2)/(-3(-3cos(3π(-1x) - 2) - 2) - 3)) + 3|, g(x) = (1(-3|((-1x + 1)/(-3x + 2))| - 3) + 3)/(2(-3|((-1x + 1)/(-3x + 2))| - 3) - 3), x = -4.4, and x = -4.0. 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) = -1sin(1π(5((1((1x - 3)/(-2x)) + 1)/(-2((1x - 3)/(-2x)) + 1)) - 3) + 3) + 1 and g(x) = (-3(-2(-2x + 4)))/(-3(-2(-2x + 4)) - 2) between the vertical lines x = 1.5 and x = 1.6. Round to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = -1((3(-5(3|x - 1| - 2)^2 - 2(3|x - 1| - 2) + 4) - 1)/(-2(-5(3|x - 1| - 2)^2 - 2(3|x - 1| - 2) + 4) + 1))^2 + 1((3(-5(3|x - 1| - 2)^2 - 2(3|x - 1| - 2) + 4) - 1)/(-2(-5(3|x - 1| - 2)^2 - 2(3|x - 1| - 2) + 4) + 1)) - 5 and g(x) = -5(2(1|x - 3| + 1)^2 - 2(1|x - 3| + 1) - 1)^2 - 4(2(1|x - 3| + 1)^2 - 2(1|x - 3| + 1) - 1) - 4 between the vertical lines x = 1.9 and x = 2.5. Round to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = 4((-3(5((-1x + 2)/(-1x + 2))^2 + 2((-1x + 2)/(-1x + 2)) + 2) - 1)/(3(5((-1x + 2)/(-1x + 2))^2 + 2((-1x + 2)/(-1x + 2)) + 2) + 1))^2 - 5((-3(5((-1x + 2)/(-1x + 2))^2 + 2((-1x + 2)/(-1x + 2)) + 2) - 1)/(3(5((-1x + 2)/(-1x + 2))^2 + 2((-1x + 2)/(-1x + 2)) + 2) + 1)) + 4, g(x) = 2|(1(1|x + 1| - 1)^2 + 4) + 2| + 1, x = -2.0, and x = 0.0. Round your answer to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = (1(-3(4((1x - 2)/(3x + 3)) - 4)^2 + 2(4((1x - 2)/(3x + 3)) - 4) + 3) + 2)/(3(-3(4((1x - 2)/(3x + 3)) - 4)^2 + 2(4((1x - 2)/(3x + 3)) - 4) + 3) + 1), g(x) = -3|((1(-1|x - 1| + 2) - 3)/(1(-1|x - 1| + 2))) - 2| + 1, x = -5.0, and x = -2.0. Round your answer to 1 decimal place.

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

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

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[User]
Calculate the area enclosed between the functions f(x) = (1(-3(-5(-2|x - 2| - 1)^2 + 1(-2|x - 2| - 1) - 1)^2 + 2(-5(-2|x - 2| - 1)^2 + 1(-2|x - 2| - 1) - 1) - 3) + 2)/(1(-3(-5(-2|x - 2| - 1)^2 + 1(-2|x - 2| - 1) - 1)^2 + 2(-5(-2|x - 2| - 1)^2 + 1(-2|x - 2| - 1) - 1) - 3) - 3) and g(x) = -3|(-2|((2x)/(-1x + 3)) - 3|) + 2| + 2 from x = 1.6 to x = 2.0. Round to 1 decimal place.

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

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

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[User]
Calculate the area enclosed between the functions f(x) = (-1(3((2(3|x + 2| - 1) + 1)/(1(3|x + 2| - 1) + 3)) + 4) - 1)/(1(3((2(3|x + 2| - 1) + 1)/(1(3|x + 2| - 1) + 3)) + 4)) and g(x) = 2cos(2π(2|(-2|x + 3|) + 2| - 1) - 3) - 1 from x = -3.6 to x = -3.4. Round to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = 1(-1((-2(1sin(2πx) - 3) + 2)/(-3(1sin(2πx) - 3) - 2))^2 + 1((-2(1sin(2πx) - 3) + 2)/(-3(1sin(2πx) - 3) - 2)) + 2) - 1, g(x) = 3e^(-1((2(2|x - 2| + 2) - 1)/(1(2|x - 2| + 2) + 1))), x = -2.6, and x = -1.9. Round your answer to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = -5((1(-2(3cos(3πx + 2) - 3)^2 - 5(3cos(3πx + 2) - 3) - 1) + 1)/(-1(-2(3cos(3πx + 2) - 3)^2 - 5(3cos(3πx + 2) - 3) - 1) + 3))^2 - 1((1(-2(3cos(3πx + 2) - 3)^2 - 5(3cos(3πx + 2) - 3) - 1) + 1)/(-1(-2(3cos(3πx + 2) - 3)^2 - 5(3cos(3πx + 2) - 3) - 1) + 3)) - 2, g(x) = 1(-5(1x^2 - 1x) + 3) - 3, x = 1.6, and x = 1.7. Round your answer to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = (-1(-2|((3(2|x - 3| + 1) - 1)/(2(2|x - 3| + 1) - 1)) - 3| + 2) - 2)/(-2(-2|((3(2|x - 3| + 1) - 1)/(2(2|x - 3| + 1) - 1)) - 3| + 2) - 1) and g(x) = 2e^(-1((-2(-3x - 1) - 1)/(3(-3x - 1)))) from x = 2.9 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) = (2(-1(5(-3sin(2πx + 2) + 2)^2 + 2(-3sin(2πx + 2) + 2) + 4)^2 + 1(5(-3sin(2πx + 2) + 2)^2 + 2(-3sin(2πx + 2) + 2) + 4) + 2))/(1(-1(5(-3sin(2πx + 2) + 2)^2 + 2(-3sin(2πx + 2) + 2) + 4)^2 + 1(5(-3sin(2πx + 2) + 2)^2 + 2(-3sin(2πx + 2) + 2) + 4) + 2) + 2) and g(x) = 1|((-3(-2e^(1x) + 2) + 3)/(-2(-2e^(1x) + 2) + 3)) + 1| + 1 between the vertical lines x = -1.0 and x = -0.7. Round to 1 decimal place.

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

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[User]
Calculate the area enclosed between the functions f(x) = -5(5(3((1x - 3)/(2x)) + 5)^2 - 3(3((1x - 3)/(2x)) + 5) - 3) - 5 and g(x) = -2sin(2π(3(-1x - 3)^2 + 1(-1x - 3) + 5) - 2) - 1 from x = 0.6 to x = 0.8. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = 3cos(2π(3|(2|(-4x + 5) - 2| - 2) - 1| - 3) - 3) + 2 and g(x) = 2(3|(2cos(3πx + 3)) - 2| - 1) - 3 from x = -3.8 to x = -3.6. Round to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = 3|(-3sin(1π((3(2|x - 1| + 2) - 2)/(3(2|x - 1| + 2) + 2)) - 2) - 1) + 2|, g(x) = (-1(2|(-1|x + 1| + 1)| - 2) + 2)/(-3(2|(-1|x + 1| + 1)| - 2)), x = 2.2, and x = 2.3. Round your answer to 1 decimal place.

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

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[User]
Calculate the area enclosed between the functions f(x) = 1|(4((2(-1|x + 1| + 1) - 2)/(2(-1|x + 1| + 1) - 3))^2 + 3((2(-1|x + 1| + 1) - 2)/(2(-1|x + 1| + 1) - 3))) + 3| + 1 and g(x) = (2(-1(2cos(1πx))^2 + 4(2cos(1πx)) + 2) + 1)/(1(-1(2cos(1πx))^2 + 4(2cos(1πx)) + 2)) from x = 3.4 to x = 4.6. Round to 1 decimal place.

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

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[User]
Determine the area of the region enclosed by the graphs of f(x) = 4(-5((-1(2x^2 - 2x + 1) + 1)/(-1(2x^2 - 2x + 1) - 1)))^2 - 4(-5((-1(2x^2 - 2x + 1) + 1)/(-1(2x^2 - 2x + 1) - 1))) + 4 and g(x) = 2(3cos(3π(-1x^2 + 1x - 3) + 2) + 3)^2 - 4(3cos(3π(-1x^2 + 1x - 3) + 2) + 3) - 3 between the vertical lines x = -0.3 and x = -0.0. Round to 1 decimal place.

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

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[User]
Determine the area of the region enclosed by the graphs of f(x) = 2(1|(2(-3e^(-2x))^2 - 2) - 1| + 3)^2 - 3(1|(2(-3e^(-2x))^2 - 2) - 1| + 3) - 1 and g(x) = 5(3((2x + 1)/(3x + 3)) + 2)^2 - 5(3((2x + 1)/(3x + 3)) + 2) + 3 between the vertical lines x = 1.0 and x = 2.3. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = 2(-2(1(-3x^2 + 3x - 4) + 3) + 3) - 5 and g(x) = -4(3(-2cos(2πx + 1) + 3) - 3)^2 - 1(3(-2cos(2πx + 1) + 3) - 3) + 4 from x = 0.8 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((1(-5x^2 + 5x + 3) - 2)/(-2(-5x^2 + 5x + 3) + 3)))/(3((1(-5x^2 + 5x + 3) - 2)/(-2(-5x^2 + 5x + 3) + 3)) + 1)) + 2)/(-3((-2((1(-5x^2 + 5x + 3) - 2)/(-2(-5x^2 + 5x + 3) + 3)))/(3((1(-5x^2 + 5x + 3) - 2)/(-2(-5x^2 + 5x + 3) + 3)) + 1)) + 2) and g(x) = (-1(-1|(4x - 2)| + 2) + 2)/(2(-1|(4x - 2)| + 2) + 3) between the vertical lines x = -0.2 and x = 1.2. Round to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = 5(-1cos(2π(-1(-1|x - 3| - 3) + 1) - 1) + 2) + 3 and g(x) = 4(5(2e^(1x) - 3) + 5)^2 - 4(5(2e^(1x) - 3) + 5) - 2 between the vertical lines x = -0.1 and x = 0.2. 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(-1(1x^2 - 4x - 2) - 1) - 1)/(-1(-1(1x^2 - 4x - 2) - 1) - 1)) + 1)/(-2((-2(-1(1x^2 - 4x - 2) - 1) - 1)/(-1(-1(1x^2 - 4x - 2) - 1) - 1)) - 2) and g(x) = 1(1|(3|x + 3| - 2) + 1| - 3)^2 - 4(1|(3|x + 3| - 2) + 1| - 3) - 5 between the vertical lines x = -0.4 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) = -3((-1(-2e^(-1(-2|x - 2| + 3))))/(-2(-2e^(-1(-2|x - 2| + 3))) - 2))^2 + 1((-1(-2e^(-1(-2|x - 2| + 3))))/(-2(-2e^(-1(-2|x - 2| + 3))) - 2)) - 3 and g(x) = 3(1(2x - 1)^2 + 4(2x - 1))^2 + 3(1(2x - 1)^2 + 4(2x - 1)) - 4 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((2(-1(2|x - 2|) + 4) - 2)/(1(-1(2|x - 2|) + 4)))^2 + 4((2(-1(2|x - 2|) + 4) - 2)/(1(-1(2|x - 2|) + 4))) + 4 and g(x) = -2sin(3π(5(2x) + 2) + 3) 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]
Find the area of the region bounded by the curves f(x) = -2(-3((2(-2x + 1))/(-1(-2x + 1) + 3)) - 5)^2 - 4(-3((2(-2x + 1))/(-1(-2x + 1) + 3)) - 5) + 1, g(x) = -2(1e^(-2(-4x^2 + 2x + 2)) - 1) - 1, x = -1.1, and x = 1.1. Round your answer to 1 decimal place.

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


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

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


[User]
Calculate the area enclosed between the functions f(x) = -3|(3|((3(-4x + 5) + 1)/(2(-4x + 5) - 1))| + 2) - 3| + 3 and g(x) = -1cos(2π((1(-3x^2 - 4x - 5) - 1)/(-3(-3x^2 - 4x - 5) - 3)) + 3) + 1 from x = 1.3 to x = 1.5. Round to 1 decimal place.

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


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

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


[User]
Find the area of the region bounded by the curves f(x) = -1(1((3(1x + 4) + 1)/(-2(1x + 4)))^2 + 5((3(1x + 4) + 1)/(-2(1x + 4))) + 5)^2 - 1(1((3(1x + 4) + 1)/(-2(1x + 4)))^2 + 5((3(1x + 4) + 1)/(-2(1x + 4))) + 5), g(x) = 1|(2(-3e^(-2x) + 3)^2 + 2(-3e^(-2x) + 3) - 5) - 1| - 3, x = 0.2, 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(-2cos(1π(3(-2x^2 + 4)^2 - 5(-2x^2 + 4) - 1) - 2) - 3) + 4, g(x) = (1(1((-3x - 3)/(-3x - 1))^2 - 5((-3x - 3)/(-3x - 1)) - 4) + 2)/(-2(1((-3x - 3)/(-3x - 1))^2 - 5((-3x - 3)/(-3x - 1)) - 4) - 2), x = 0.5, and x = 0.6. Round your answer to 1 decimal place.

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


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

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


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

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


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

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


[User]
Calculate the area enclosed between the functions f(x) = -1|(-4(-1sin(3π((-1x + 3)/(2x - 1)) + 2) + 3) - 4)| - 1 and g(x) = (-2(1|(-1|x + 1| + 3) + 2| - 2) + 3)/(-3(1|(-1|x + 1| + 3) + 2| - 2) + 2) from x = -3.3 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) = -5(-5(-1((3x - 2)/(-3x))^2 + 4((3x - 2)/(-3x))) + 1)^2 + 5 and g(x) = (-2(5(2|x + 2|) - 4) + 2)/(2(5(2|x + 2|) - 4) - 1) from x = 0.6 to x = 0.7. Round to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = -2(-2|(2(2x - 1) - 2) + 1| + 2), g(x) = (1(-4(4x^2 + 2x - 5)^2 + 5(4x^2 + 2x - 5) + 1) + 3)/(-1(-4(4x^2 + 2x - 5)^2 + 5(4x^2 + 2x - 5) + 1) - 2), 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) = -3|((3(-2(2sin(1πx - 1) - 3) + 3) - 1)/(3(-2(2sin(1πx - 1) - 3) + 3)))| - 2, g(x) = 5(-1(-1|x + 3| - 2)^2 - 3(-1|x + 3| - 2) + 2) + 2, x = -4.9, and x = -1.1. Round your answer to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = (-2(-4(-3cos(2π(-2x^2 + 3x + 5) + 2) + 3)^2 - 3(-3cos(2π(-2x^2 + 3x + 5) + 2) + 3) + 4) - 3)/(-2(-4(-3cos(2π(-2x^2 + 3x + 5) + 2) + 3)^2 - 3(-3cos(2π(-2x^2 + 3x + 5) + 2) + 3) + 4) - 1), g(x) = -1(-3sin(1π(-2|x - 2| - 2) - 3)), x = -4.2, and x = -4.1000000000000005. Round your answer to 1 decimal place.

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


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

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


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

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


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

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


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

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


[User]
Calculate the area enclosed between the functions f(x) = (1(2(-1|((2x)/(-1x + 3)) + 1| + 1) + 1) + 3)/(-2(2(-1|((2x)/(-1x + 3)) + 1| + 1) + 1) - 1) and g(x) = -1((1((-1x)/(-3x - 1)) + 1)/(1((-1x)/(-3x - 1)) - 2))^2 + 1((1((-1x)/(-3x - 1)) + 1)/(1((-1x)/(-3x - 1)) - 2)) + 1 from x = -1.0 to x = -0.4. Round to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = 2|(1|((1((-2x + 1)/(-3x + 2)) + 2)/(-3((-2x + 1)/(-3x + 2)) - 3)) + 3| - 2) + 3| + 3 and g(x) = (2(-5(5x^2 + 5x) + 3) - 3)/(-1(-5(5x^2 + 5x) + 3) + 2) between the vertical lines x = -1.0 and x = 0.0. Round to 1 decimal place.

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


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

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


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

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[User]
Determine the area of the region enclosed by the graphs of f(x) = 3(2((2(-2x - 5))/(-2(-2x - 5))) - 3) + 5 and g(x) = -1((-3(2cos(3πx + 1)) + 2)/(1(2cos(3πx + 1)) + 1)) - 3 between the vertical lines x = 2.8 and x = 3.0. Round to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = -3|(-3|(2(-1|x + 2| - 3) + 5) + 3| + 1) + 2| - 2 and g(x) = (-2(-1(-3x^2 - 2x + 2) - 2) + 3)/(-1(-1(-3x^2 - 2x + 2) - 2) + 3) between the vertical lines x = -1.9 and x = 1.2. Round to 1 decimal place.

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


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

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


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

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


[User]
Find the area of the region bounded by the curves f(x) = (1(-1sin(2π(-2|(1x - 4) - 1|) + 3) + 2))/(-2(-1sin(2π(-2|(1x - 4) - 1|) + 3) + 2) - 2), g(x) = -1(1|(-2x) - 2| - 3) + 2, x = -3.6, and x = 1.7. Round your answer to 1 decimal place.

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


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

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


[User]
Find the area of the region bounded by the curves f(x) = (-2(-1(-1(4x^2 + 2x - 5) - 3) - 4) - 1)/(-2(-1(-1(4x^2 + 2x - 5) - 3) - 4) + 3), g(x) = 2(-2cos(2π((-2x - 3)/(-2x - 1)) - 1) + 1) - 3, x = -0.4, 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) = -1(2(-1|(5x^2 - 5x) + 3| + 3) - 4)^2 - 5(2(-1|(5x^2 - 5x) + 3| + 3) - 4) + 2 and g(x) = -5(2|(2x^2 - 4) - 2| + 1) - 5 from x = -0.5 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) = 2(-1cos(1π((-2((-3x - 1)/(-2x)) + 2)/(-1((-3x - 1)/(-2x)) + 2))) + 3) - 1 and g(x) = 3|(-1e^(2((-2x + 2)/(3x - 2))) + 1) + 1| + 3 between the vertical lines x = 0.9 and x = 1.0. Round to 1 decimal place.

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


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

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


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

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


[User]
Calculate the area enclosed between the functions f(x) = -4((1(3(-3cos(1πx + 3)) + 3) - 3)/(2(3(-3cos(1πx + 3)) + 3) - 1)) - 2 and g(x) = (-3(-1(-3e^(2x) - 3) - 1) - 2)/(-3(-1(-3e^(2x) - 3) - 1) + 2) from x = -4.5 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) = 3cos(3π(3|(-1|(2x - 5) + 3| - 3) + 1| - 2)) and g(x) = 2(-5((-2x + 3)/(-1x)) - 3)^2 + 2 from x = 1.1 to x = 1.2000000000000002. Round to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = 3cos(2π((1(3(2|x + 1| - 1) + 2) + 1)/(-3(3(2|x + 1| - 1) + 2) + 4)) + 1) - 2, g(x) = 1(2|(1cos(2πx + 2)) - 2| - 2) - 5, x = -1.4, and x = -1.2999999999999998. 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(1|(-1|(1x^2 - 1x - 5) - 2| + 1)| + 2) - 2) + 2, g(x) = (-3(-2e^(-1(-2x^2 + 2x + 3))) - 2)/(2(-2e^(-1(-2x^2 + 2x + 3))) - 3), x = -0.0, and x = 0.3. Round your answer to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = (2(-3(-2(-2x^2 + 5x + 2)^2 - 4(-2x^2 + 5x + 2) - 1)^2 - 4(-2(-2x^2 + 5x + 2)^2 - 4(-2x^2 + 5x + 2) - 1) + 2) - 1)/(-1(-3(-2(-2x^2 + 5x + 2)^2 - 4(-2x^2 + 5x + 2) - 1)^2 - 4(-2(-2x^2 + 5x + 2)^2 - 4(-2x^2 + 5x + 2) - 1) + 2) - 1), g(x) = 3(3|(-1x^2 - 2x - 2) + 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]
Calculate the area enclosed between the functions f(x) = 3(5(2sin(1π((-2x + 1)/(-2x)) + 1)) + 3)^2 - 2(5(2sin(1π((-2x + 1)/(-2x)) + 1)) + 3) - 2 and g(x) = 3(-1(-2sin(1πx - 1) + 2)^2 + 1(-2sin(1πx - 1) + 2) + 5)^2 + 1(-1(-2sin(1πx - 1) + 2)^2 + 1(-2sin(1πx - 1) + 2) + 5) - 3 from x = 2.2 to x = 3.4. Round to 1 decimal place.

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


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

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


[User]
Find the area of the region bounded by the curves f(x) = -1(3|(3sin(2π(-3x^2 + 2x + 1) - 2) - 1) - 1| + 2) + 5, g(x) = 2(-2|((1x - 3)/(3x - 1)) + 1|)^2 + 5(-2|((1x - 3)/(3x - 1)) + 1|) - 1, x = -4.5, and x = -4.4. 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(2|(-2(2|x - 1| - 1)^2 + 3(2|x - 1| - 1) + 3)| - 1) + 1)/(2(2|(-2(2|x - 1| - 1)^2 + 3(2|x - 1| - 1) + 3)| - 1) + 1), g(x) = -3(5((-3x - 1)/(2x - 3))^2)^2 + 3(5((-3x - 1)/(2x - 3))^2) - 3, x = -0.6, and x = -0.5. Round your answer to 1 decimal place.

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


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

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

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[User]
Determine the area of the region enclosed by the graphs of f(x) = 2|(-1(3|(-2sin(2πx + 3) + 3) - 1| + 2)^2 - 2(3|(-2sin(2πx + 3) + 3) - 1| + 2) - 1) + 1| and g(x) = 2|(-1|(-2x^2 - 1x - 2) + 1| - 3) - 3| between the vertical lines x = -4.4 and x = -4.1. Round to 1 decimal place.

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


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

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


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

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = 2((-1(3sin(1π((-1x + 2)/(2x + 3)) - 2)))/(-2(3sin(1π((-1x + 2)/(2x + 3)) - 2)) - 3))^2 + 4((-1(3sin(1π((-1x + 2)/(2x + 3)) - 2)))/(-2(3sin(1π((-1x + 2)/(2x + 3)) - 2)) - 3)) + 3 and g(x) = 1|(5(-3cos(2πx + 1) + 1)^2 - 2(-3cos(2πx + 1) + 1) + 2) - 1| between the vertical lines x = 2.7 and x = 2.9. Round to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = (3(4(1(3e^(1x) - 1) - 4)^2 + 1(1(3e^(1x) - 1) - 4) - 4))/(1(4(1(3e^(1x) - 1) - 4)^2 + 1(1(3e^(1x) - 1) - 4) - 4) + 2) and g(x) = 1sin(3π(-2|(-5x - 5)| + 1) + 1) + 3 between the vertical lines x = 1.7 and x = 1.8. Round to 1 decimal place.

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


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

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = -3(5((2(2|x + 1| - 1) + 1)/(3(2|x + 1| - 1) + 3)) + 1) + 5 and g(x) = -3((-3(3x - 1) + 1)/(2(3x - 1) + 3)) + 2 between the vertical lines x = -0.9 and x = 0.1. Round to 1 decimal place.

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


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

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


[User]
Calculate the area enclosed between the functions f(x) = (3(2sin(1π(-1|(1x^2 - 3x - 4) - 2|) + 3)) - 3)/(3(2sin(1π(-1|(1x^2 - 3x - 4) - 2|) + 3))) and g(x) = -3(-1(-2x - 5) - 1)^2 + 3(-1(-2x - 5) - 1) + 4 from x = -3.7 to x = -3.0. Round to 1 decimal place.

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


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

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


[User]
Calculate the area enclosed between the functions f(x) = 3|(1e^(-1((3(3x^2 + 4x - 4) + 2)/(2(3x^2 + 4x - 4) - 3)))) - 3| + 1 and g(x) = 3|(3|(2sin(1πx + 2)) - 1| - 3) + 1| - 1 from x = -3.5 to x = -2.8. Round to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = 2(-3|(4(2|x - 2| - 2)^2 - 1(2|x - 2| - 2) - 3)| + 3) - 5 and g(x) = 4(-5(1cos(1πx - 1) + 2) - 1) + 5 from x = 1.6 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|(2(2((1x + 3)/(2x - 1))^2 - 4((1x + 3)/(2x - 1)) - 2)^2 + 4(2((1x + 3)/(2x - 1))^2 - 4((1x + 3)/(2x - 1)) - 2) + 4)| - 3 and g(x) = (-2(1e^(-2((1x - 2)/(1x + 1))) + 3) + 2)/(-2(1e^(-2((1x - 2)/(1x + 1))) + 3) + 3) between the vertical lines x = -3.2 and x = -1.4. Round to 1 decimal place.

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


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

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


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

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


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

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


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

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = 1|(-3|((-2(1x^2 - 1x + 5) - 3)/(-3(1x^2 - 1x + 5) + 1)) - 3| + 2) + 3| - 2 and g(x) = 1sin(3π(-4(1x)^2 + 4(1x) + 3) - 3) between the vertical lines x = -4.8 and x = -4.7. 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|(-2((3(-5x - 1) + 1)/(-2(-5x - 1) - 3)) + 1) - 2| - 1, g(x) = 2|(-1(3cos(2πx - 3) - 1) - 3) - 2| + 3, x = 3.1, and x = 3.9. Round your answer to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = -1(-1|(-3(1x - 5) - 3) + 2| - 1)^2 + 5(-1|(-3(1x - 5) - 3) + 2| - 1) + 5 and g(x) = -3|(-3sin(3π((2x - 2)/(-2x + 1)) - 1) - 1)| - 1 between the vertical lines x = 4.6 and x = 4.8. Round to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = -3|(2cos(2π(-3((1x)/(-3x - 3))^2 + 3((1x)/(-3x - 3))) + 3) + 3) + 1| - 2, g(x) = -1(5(-2cos(1πx - 2) - 2)^2 + 3(-2cos(1πx - 2) - 2) + 1)^2 + 3(5(-2cos(1πx - 2) - 2)^2 + 3(-2cos(1πx - 2) - 2) + 1) - 4, x = 3.3, and x = 4.0. Round your answer to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = -1e^(1(2(2(-1|x + 3| + 3)^2 - 4(-1|x + 3| + 3) + 4)^2 - 5(2(-1|x + 3| + 3)^2 - 4(-1|x + 3| + 3) + 4) + 4)) - 1 and g(x) = -2(1|(-5x + 1) + 3| - 1)^2 + 3(1|(-5x + 1) + 3| - 1) + 2 from x = -1.6 to x = -0.5. Round to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = -3|(1(-1((-2x - 3)/(-3x + 2)) + 2) - 3)| - 2 and g(x) = -1|((2(3|x - 3| - 2) - 1)/(-1(3|x - 3| - 2) - 3)) - 3| - 1 from x = -2.4 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) = (-2((1(-3|(2|x - 3| - 1) - 1| + 2) - 3)/(3(-3|(2|x - 3| - 1) - 1| + 2) + 2)) - 1)/(-1((1(-3|(2|x - 3| - 1) - 1| + 2) - 3)/(3(-3|(2|x - 3| - 1) - 1| + 2) + 2))), g(x) = (3(-2e^(1(1x^2 - 4x + 2)) - 3) + 1)/(-1(-2e^(1(1x^2 - 4x + 2)) - 3) + 3), x = 2.1, 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) = -2(-2|(-2cos(2π(3x - 4) - 2) + 3) - 1| + 2)^2 + 3(-2|(-2cos(2π(3x - 4) - 2) + 3) - 1| + 2) - 5, g(x) = -1|(5(2|x + 2| - 3)^2 + 3(2|x + 2| - 3) - 2) - 1| - 3, x = 0.2, 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(3(2|(-1x^2 + 4x - 3)| - 2) + 1)^2 - 4(3(2|(-1x^2 + 4x - 3)| - 2) + 1) - 2, g(x) = (-1(-2e^(2(-3x + 5)) - 3) - 1)/(-2(-2e^(2(-3x + 5)) - 3) + 3), x = 3.3, and x = 3.5. Round your answer to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = -2|(1|(-5(-5x) - 2) + 3|) + 2| + 1, g(x) = -2|(1cos(2π(4x + 5) + 2) + 1) - 3| - 3, x = -0.1, 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) = -3sin(1π(-3|((1(-2|x + 3| + 2) - 1)/(2(-2|x + 3| + 2) - 3)) + 1| + 2) + 1) - 3 and g(x) = -2|((1((-3x + 3)/(-2x - 3)) - 2)/(3((-3x + 3)/(-2x - 3)))) + 1| + 1 from x = -2.8 to x = -2.6999999999999997. Round to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = (-1(-3|((3(-3x) + 3)/(2(-3x) + 2)) + 2| - 3) + 1)/(-1(-3|((3(-3x) + 3)/(2(-3x) + 2)) + 2| - 3) + 3), g(x) = 3cos(1π(1(-2|x| + 2) - 2) + 1) - 1, x = -4.3, and x = -4.0. 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) = 5(-2|(-3sin(2π(3|x + 1|) - 1)) - 1| + 2) - 1, g(x) = 3|((-2(-3sin(1πx + 2)))/(3(-3sin(1πx + 2)) + 2)) + 3| + 2, x = 1.7, and x = 1.9. Round your answer to 1 decimal place.

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


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

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


[User]
Find the area of the region bounded by the curves f(x) = 2(-1|(-1|(-3|x| - 2) + 1| - 1) - 2| - 2) + 3, g(x) = -2|(2(4x^2 - 1) + 5) - 1|, x = -0.8, 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) = -3(-2(5(-2|x - 1| + 2) + 4)^2 + 4(5(-2|x - 1| + 2) + 4) + 5), g(x) = -2(5(2|x - 3| - 1) + 1)^2 - 4(5(2|x - 3| - 1) + 1) + 2, x = 2.4, 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) = (-1(-2|((-2(2x + 3))/(-2(2x + 3) + 3)) - 3| + 1) + 3)/(1(-2|((-2(2x + 3))/(-2(2x + 3) + 3)) - 3| + 1) - 3) and g(x) = 1sin(3π((-2(2|x - 3|) - 1)/(2(2|x - 3|) + 3))) - 1 between the vertical lines x = 2.2 and x = 3.8. Round to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = (-3((3(1|(-3x^2 - 5x - 4) + 1| - 1) - 1)/(2(1|(-3x^2 - 5x - 4) + 1| - 1))))/(3((3(1|(-3x^2 - 5x - 4) + 1| - 1) - 1)/(2(1|(-3x^2 - 5x - 4) + 1| - 1))) + 3) and g(x) = 3((-3(-3e^(1x) - 1) - 3)/(-2(-3e^(1x) - 1) - 3)) - 1 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(2|x| - 1) - 2)/(-2(2|x| - 1) - 1)) + 1) + 2)/(-1(5((3(2|x| - 1) - 2)/(-2(2|x| - 1) - 1)) + 1) - 1) and g(x) = 3((3(-3x + 5) - 3)/(-2(-3x + 5) + 3)) - 1 from x = 1.0 to x = 1.2. Round to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = (-1(3(3cos(3π(-4x + 4) + 1) - 2)^2 + 4(3cos(3π(-4x + 4) + 1) - 2) - 4) + 2)/(-2(3(3cos(3π(-4x + 4) + 1) - 2)^2 + 4(3cos(3π(-4x + 4) + 1) - 2) - 4) + 3) and g(x) = 1((3(3|x - 2| - 1) - 2)/(-1(3|x - 2| - 1) + 2))^2 - 3((3(3|x - 2| - 1) - 2)/(-1(3|x - 2| - 1) + 2)) + 3 from x = 2.7 to x = 2.8000000000000003. Round to 1 decimal place.

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


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

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = -3e^(1(-2|((-2(-1x^2 + 5x + 5) - 2)/(2(-1x^2 + 5x + 5) + 1))| - 2)) + 3 and g(x) = 3|((-1(1x^2 - 3x + 3) + 1)/(1(1x^2 - 3x + 3))) + 1| + 2 between the vertical lines x = -0.0 and x = 3.0. Round to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = -2sin(3π((-3((-2(-2x^2 + 1x + 2) + 1)/(2(-2x^2 + 1x + 2) + 2)) + 2)/(1((-2(-2x^2 + 1x + 2) + 1)/(2(-2x^2 + 1x + 2) + 2)) - 2)) + 3), g(x) = 4(-4(-1x + 2)^2 - 5(-1x + 2) + 2) - 2, x = 1.7, and x = 3.5. Round your answer to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = -1((-3(2sin(3π(1x + 1) - 1) - 2) + 1)/(-2(2sin(3π(1x + 1) - 1) - 2) + 3))^2 - 3((-3(2sin(3π(1x + 1) - 1) - 2) + 1)/(-2(2sin(3π(1x + 1) - 1) - 2) + 3)) + 3, g(x) = (-1(-1(-2sin(1πx - 2) + 3)^2 + 1(-2sin(1πx - 2) + 3) - 1))/(-3(-1(-2sin(1πx - 2) + 3)^2 + 1(-2sin(1πx - 2) + 3) - 1) - 3), 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) = -1|((-3(-2|(1e^(1x) - 1) + 2| + 3) + 1)/(-3(-2|(1e^(1x) - 1) + 2| + 3) - 1)) - 3| - 2, g(x) = 3cos(2π(3(-1|x - 1| + 3)^2 - 3(-1|x - 1| + 3) - 5) + 3) - 3, x = -5.0, and x = -4.9. Round your answer to 1 decimal place.

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


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

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


[User]
Calculate the area enclosed between the functions f(x) = -2|(-1|(-5(2|x + 1| - 2)^2 + 4(2|x + 1| - 2) + 1)| - 1) - 1| + 2 and g(x) = (-2(-3sin(3π((2x - 1)/(1x)) + 2) + 2) + 1)/(3(-3sin(3π((2x - 1)/(1x)) + 2) + 2) - 1) from x = -1.9 to x = 0.4. Round to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = 2cos(3π(-3(1(-1x^2 - 1x + 2))^2 - 3(1(-1x^2 - 1x + 2)) - 1) + 3) - 1 and g(x) = 5(-2cos(1π((-3x)/(-1x - 3)) - 1) + 2) - 3 between the vertical lines x = 0.6 and x = 0.7. Round to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = -3(-2cos(3π((-1(3x^2 - 2x - 2) + 1)/(-1(3x^2 - 2x - 2) + 2)) + 3) + 3) - 1 and g(x) = (2((-3(3x + 3))/(3(3x + 3) - 2)) - 2)/(-1((-3(3x + 3))/(3(3x + 3) - 2)) + 3) from x = -0.8 to x = -0.7000000000000001. Round to 1 decimal place.

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


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

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


[User]
Find the area of the region bounded by the curves f(x) = -5(-1sin(3π(4(1x^2 - 1x - 4)^2 + 4(1x^2 - 1x - 4) + 1) + 2) - 1)^2 - 3(-1sin(3π(4(1x^2 - 1x - 4)^2 + 4(1x^2 - 1x - 4) + 1) + 2) - 1) + 4, g(x) = (1(5(-1cos(1πx + 3))))/(-2(5(-1cos(1πx + 3))) + 1), x = -4.8, and x = -4.7. 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((-3(-3|(5x^2 + 5x - 3) - 3| - 2))/(-3(-3|(5x^2 + 5x - 3) - 3| - 2) - 3)) + 1)/(-3((-3(-3|(5x^2 + 5x - 3) - 3| - 2))/(-3(-3|(5x^2 + 5x - 3) - 3| - 2) - 3)) + 4) and g(x) = 2|(4(-3x - 2)^2 + 2(-3x - 2) + 1)| - 2 from x = -1.8 to x = -1.6. Round to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = (-1(2|(-5(-1|x + 3| + 1) + 1)| - 2) + 2)/(-1(2|(-5(-1|x + 3| + 1) + 1)| - 2) + 3) and g(x) = (3(2(3|x| + 2) - 3) - 1)/(1(2(3|x| + 2) - 3)) from x = -3.2 to x = -2.8. Round to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = (-3((-2(-2(5x + 3)^2 + 2) + 2)/(1(-2(5x + 3)^2 + 2) + 1)) + 1)/(-3((-2(-2(5x + 3)^2 + 2) + 2)/(1(-2(5x + 3)^2 + 2) + 1)) + 4), g(x) = (2(-1|(-2sin(2πx + 2)) - 2| + 3) - 3)/(1(-1|(-2sin(2πx + 2)) - 2| + 3) - 3), x = -0.9, 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) = 3|(2((2(-2cos(3πx - 1) + 2) + 1)/(-1(-2cos(3πx - 1) + 2) - 1))^2 - 5((2(-2cos(3πx - 1) + 2) + 1)/(-1(-2cos(3πx - 1) + 2) - 1)) - 1) + 3| + 2, g(x) = 1|(2(1x^2 - 2x - 2)^2 - 5(1x^2 - 2x - 2) + 1) + 1| + 2, x = -1.9, 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(3((2((2x + 1)/(-2x)) + 2)/(-3((2x + 1)/(-2x)) + 2))^2 + 5((2((2x + 1)/(-2x)) + 2)/(-3((2x + 1)/(-2x)) + 2)) + 2)^2 + 1(3((2((2x + 1)/(-2x)) + 2)/(-3((2x + 1)/(-2x)) + 2))^2 + 5((2((2x + 1)/(-2x)) + 2)/(-3((2x + 1)/(-2x)) + 2)) + 2) - 1, g(x) = 2|(4((1x - 1)/(-2x - 3)) + 1) + 1| - 2, 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) = (2((-2(-1e^(1(-2x - 5)) + 3) - 3)/(3(-1e^(1(-2x - 5)) + 3) + 1)) + 2)/(-2((-2(-1e^(1(-2x - 5)) + 3) - 3)/(3(-1e^(1(-2x - 5)) + 3) + 1)) - 1) and g(x) = (-2((-1((2x - 2)/(3x + 2)) - 1)/(1((2x - 2)/(3x + 2)) + 2)) - 2)/(-2((-1((2x - 2)/(3x + 2)) - 1)/(1((2x - 2)/(3x + 2)) + 2)) + 3) between the vertical lines x = -2.7 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) = -2sin(1π(-2(2((-3x + 3)/(2x + 3)) + 1)^2 - 1(2((-3x + 3)/(2x + 3)) + 1) - 1) - 1) + 2 and g(x) = 2|(1((2x + 2)/(-1x - 2))^2 - 1((2x + 2)/(-1x - 2)) - 4)| + 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]
Calculate the area enclosed between the functions f(x) = (2(-5(4(-1x^2 + 3x + 1) + 3)^2 - 5(4(-1x^2 + 3x + 1) + 3)) - 1)/(-1(-5(4(-1x^2 + 3x + 1) + 3)^2 - 5(4(-1x^2 + 3x + 1) + 3)) + 3) and g(x) = 2e^(-1(2|(1|x - 2| - 2) + 3| + 1)) - 1 from x = -0.5 to x = 3.5. Round to 1 decimal place.

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


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

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


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

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


[User]
Find the area of the region bounded by the curves f(x) = -1(4(-1((2x + 3)/(1x - 3)) - 5) + 5)^2 + 3, g(x) = (-2((-1(-5x^2 + 3x - 3) + 3)/(-1(-5x^2 + 3x - 3) - 2)) + 2)/(2((-1(-5x^2 + 3x - 3) + 3)/(-1(-5x^2 + 3x - 3) - 2)) + 2), x = 1.3, and x = 1.6. 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) = -2e^(-2(-1(2|(-2x - 4) - 3| + 3) + 4)) - 1 and g(x) = -3|(-3(-1sin(1πx - 1) - 3) - 4)| - 3 between the vertical lines x = -4.0 and x = -2.9. Round to 1 decimal place.

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


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

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


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

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


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

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


[User]
Calculate the area enclosed between the functions f(x) = 1|((2(2e^(1(2|x + 2|)) - 3) + 1)/(3(2e^(1(2|x + 2|)) - 3)))| + 3 and g(x) = -2sin(3π(4(-3|x - 2| - 2)^2 - 5(-3|x - 2| - 2) + 4) + 2) + 2 from x = 1.8 to x = 1.9000000000000001. Round to 1 decimal place.

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


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

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


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

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = 5(3|(-1(-1x^2 + 4x - 5) - 2) - 1| - 1) + 1 and g(x) = -4(2cos(2π(-3x^2 - 3x + 2) - 2))^2 - 5(2cos(2π(-3x^2 - 3x + 2) - 2)) between the vertical lines x = 3.3 and x = 3.4. Round to 1 decimal place.

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


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

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


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

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


[User]
Find the area of the region bounded by the curves f(x) = -2((3((3(-2cos(2πx - 3)) - 1)/(-2(-2cos(2πx - 3)) + 1)) - 2)/(-3((3(-2cos(2πx - 3)) - 1)/(-2(-2cos(2πx - 3)) + 1)) + 4)) + 4, g(x) = 2|(2(5x - 5)^2 + 3(5x - 5) + 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]
Determine the area of the region enclosed by the graphs of f(x) = -2(3|(-2(2cos(3πx - 3) + 2) + 1)| - 2) + 1 and g(x) = -3cos(2π((-3(2x - 1) - 1)/(3(2x - 1) + 3)) + 2) - 2 between the vertical lines x = -1.9 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) = -3(3(3e^(-1(2x^2 - 5x - 1)) + 1))^2 + 3(3(3e^(-1(2x^2 - 5x - 1)) + 1)) + 2 and g(x) = -3(2cos(2π(-1x + 5) - 2) - 3)^2 + 4(2cos(2π(-1x + 5) - 2) - 3) + 4 between the vertical lines x = 3.8 and x = 4.5. Round to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = (-1(2sin(2π(-2(2x - 4) + 3) - 2) - 3) - 3)/(2(2sin(2π(-2(2x - 4) + 3) - 2) - 3) + 2) and g(x) = -3(3sin(3π(1x^2 + 1x + 1) - 3)) - 1 between the vertical lines x = 2.5 and x = 2.6. Round to 1 decimal place.

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


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

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


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

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


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

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


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

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = -4(3(2sin(2π(-5x^2 + 5) + 3)) - 5)^2 - 2(3(2sin(2π(-5x^2 + 5) + 3)) - 5) - 4 and g(x) = -3|(-2|((-2x - 1)/(1x - 2)) + 3| + 2) + 3| - 1 between the vertical lines x = 2.1 and x = 2.2. Round to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = (2(-4(1cos(3π(5x^2 - 5x - 2) + 3) + 1)^2 + 1(1cos(3π(5x^2 - 5x - 2) + 3) + 1) + 1) + 2)/(-3(-4(1cos(3π(5x^2 - 5x - 2) + 3) + 1)^2 + 1(1cos(3π(5x^2 - 5x - 2) + 3) + 1) + 1) + 1) and g(x) = 3(1|((1x + 3)/(-1x + 2)) - 3|)^2 - 5(1|((1x + 3)/(-1x + 2)) - 3|) - 1 between the vertical lines x = -2.0 and x = -1.9. Round to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = 2|(3sin(2π(-3|(-5x - 5) + 1| + 1) - 1) + 2) + 3| + 2, g(x) = 2e^(-1((3(3x^2 - 4x - 5) + 2)/(1(3x^2 - 4x - 5)))) - 1, x = -0.7, and x = 2.1. Round your answer to 1 decimal place.

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


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

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = 3sin(1π((-2(-1(1x - 3) - 5) - 3)/(-2(-1(1x - 3) - 5) - 1)) - 2) - 3 and g(x) = -2sin(1π(-1(-3|x + 1|) - 1) - 1) - 2 between the vertical lines x = -1.5 and x = -1.4. Round to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = (-1(2|(-5(-2x) + 2)| + 3) + 1)/(1(2|(-5(-2x) + 2)| + 3)), g(x) = (1(-2(1x - 2)^2 + 4(1x - 2) + 1) - 3)/(-3(-2(1x - 2)^2 + 4(1x - 2) + 1)), x = 1.5, and x = 4.5. Round your answer to 1 decimal place.

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


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

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = (2(-1|(-2cos(3π(-4x + 5) + 2) + 1)|) - 2)/(-1(-1|(-2cos(3π(-4x + 5) + 2) + 1)|) - 3) and g(x) = -4(-1|(5x^2 + 5x - 3) - 3| + 3)^2 + 2(-1|(5x^2 + 5x - 3) - 3| + 3) + 2 between the vertical lines x = -1.4 and x = -1.2999999999999998. Round to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = (1(2((3((2x)/(-1x - 2)) + 2)/(-1((2x)/(-1x - 2)) - 2))^2 - 1((3((2x)/(-1x - 2)) + 2)/(-1((2x)/(-1x - 2)) - 2)) - 3) + 2)/(-2(2((3((2x)/(-1x - 2)) + 2)/(-1((2x)/(-1x - 2)) - 2))^2 - 1((3((2x)/(-1x - 2)) + 2)/(-1((2x)/(-1x - 2)) - 2)) - 3) + 3), g(x) = -1sin(3π(-3|(-5x - 1) + 3|)) - 3, x = 2.9, and x = 3.0. Round your answer to 1 decimal place.

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


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

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


[User]
Find the area of the region bounded by the curves f(x) = 3(-1|(2((3x)/(2x + 2))^2 + 5((3x)/(2x + 2)) + 3) - 1| + 3)^2 - 5(-1|(2((3x)/(2x + 2))^2 + 5((3x)/(2x + 2)) + 3) - 1| + 3) - 4, g(x) = -2sin(1π(-3(5x)^2 + 5(5x) + 4) + 1) - 2, x = -0.4, and x = -0.30000000000000004. Round your answer to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = 2|(1(3(-3sin(2πx - 1) + 3) - 5)^2 + 5(3(-3sin(2πx - 1) + 3) - 5) - 2) + 2| - 1, g(x) = (3(-5(1|x + 1|) - 1) - 3)/(2(-5(1|x + 1|) - 1) - 1), x = -0.6, and x = -0.5. Round your answer to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = -3(4(-2((-2x)/(1x - 2))^2 + 5((-2x)/(1x - 2)) + 4)^2 + 2(-2((-2x)/(1x - 2))^2 + 5((-2x)/(1x - 2)) + 4) - 5) - 4 and g(x) = (2(4(-3|x - 2|)^2 - 5(-3|x - 2|) - 1) - 3)/(-3(4(-3|x - 2|)^2 - 5(-3|x - 2|) - 1) - 2) 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) = -1|((1(-1(-3|x + 1| + 1) - 4) + 1)/(-3(-1(-3|x + 1| + 1) - 4))) - 3|, g(x) = 3sin(2π((-3(2x + 4) + 3)/(-3(2x + 4) - 3)) + 1) - 1, x = -2.6, 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) = -3(-1|(1((-2x + 3)/(1x - 3)) + 4) + 2| + 3) - 3 and g(x) = 2cos(1π(1|(-4x + 3) - 3| + 3)) between the vertical lines x = -3.7 and x = -3.3. Round to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = -5(-2|((1(3|x + 1| + 3) + 3)/(1(3|x + 1| + 3) + 3))|) + 2 and g(x) = 3((3(-3sin(3πx - 2) + 2) + 3)/(-2(-3sin(3πx - 2) + 2)))^2 - 2((3(-3sin(3πx - 2) + 2) + 3)/(-2(-3sin(3πx - 2) + 2))) + 1 between the vertical lines x = 4.3 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) = -1((1(3(1cos(2πx) + 2) - 5) - 3)/(1(3(1cos(2πx) + 2) - 5)))^2 - 5((1(3(1cos(2πx) + 2) - 5) - 3)/(1(3(1cos(2πx) + 2) - 5))) - 5 and g(x) = 2sin(1π(-2|(-1|x + 3| + 1) - 2|) - 1) between the vertical lines x = -4.8 and x = -4.7. Round to 1 decimal place.

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


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

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = 3|(-1(1|(1x - 5)| - 2) + 4) + 1| - 3 and g(x) = 5(1|(-2sin(3πx - 1) + 3) - 3| - 2)^2 + 4(1|(-2sin(3πx - 1) + 3) - 3| - 2) + 1 between the vertical lines x = 0.8 and x = 1.1. Round to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = 3(-1e^(-1(2|(1|x + 2| + 1) - 1| + 2)) - 2)^2 - 1(-1e^(-1(2|(1|x + 2| + 1) - 1| + 2)) - 2) and g(x) = (1((3(4x^2 + 5x - 4) + 1)/(2(4x^2 + 5x - 4) + 2)) - 3)/(-1((3(4x^2 + 5x - 4) + 1)/(2(4x^2 + 5x - 4) + 2)) - 1) between the vertical lines x = -1.7 and x = 0.5. Round to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = (1((-2(-3sin(1π(2|x| - 1) - 2) + 1) + 3)/(-2(-3sin(1π(2|x| - 1) - 2) + 1))) + 3)/(-2((-2(-3sin(1π(2|x| - 1) - 2) + 1) + 3)/(-2(-3sin(1π(2|x| - 1) - 2) + 1)))) and g(x) = -2cos(1π((2((-1x - 2)/(-2x)) - 3)/(-1((-1x - 2)/(-2x))))) + 2 from x = -2.3 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) = -5(3cos(3π(2(-3x - 4) + 3) - 1) + 3)^2 + 5(3cos(3π(2(-3x - 4) + 3) - 1) + 3) + 5 and g(x) = -5(2|(-3x + 4) + 2| + 3)^2 - 1(2|(-3x + 4) + 2| + 3) - 4 from x = 2.1 to x = 2.2. Round to 1 decimal place.

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


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

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[User]
Find the area of the region bounded by the curves f(x) = (-2(2(-1(-3x^2 + 5) - 2) + 1))/(-1(2(-1(-3x^2 + 5) - 2) + 1) + 2), g(x) = (-1(-1(2x^2 - 4x + 1) + 5) + 1)/(3(-1(2x^2 - 4x + 1) + 5) - 1), x = -0.7, 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) = 3cos(3π(-1(-5(4x - 5)^2 - 3(4x - 5) + 4) - 4) - 3) - 1, g(x) = (-1(-5(-3x^2 + 4x + 4)^2) - 2)/(-2(-5(-3x^2 + 4x + 4)^2)), x = 0.9, 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) = 3cos(3π((3(-5(-4x + 1)^2 + 1(-4x + 1) + 5) + 3)/(-1(-5(-4x + 1)^2 + 1(-4x + 1) + 5) + 2)) - 1) + 3, g(x) = -2(2sin(3π(-1x - 4) + 2) - 2)^2 - 1(2sin(3π(-1x - 4) + 2) - 2) + 5, 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) = 5((-2(1cos(3π(1|x| - 2) + 2)) - 1)/(3(1cos(3π(1|x| - 2) + 2)) - 2))^2 - 3((-2(1cos(3π(1|x| - 2) + 2)) - 1)/(3(1cos(3π(1|x| - 2) + 2)) - 2)) - 2 and g(x) = -1(2(-3|x + 2| - 3) + 5)^2 - 1(2(-3|x + 2| - 3) + 5) between the vertical lines x = -2.1 and x = -1.9. Round to 1 decimal place.

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

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[User]
Calculate the area enclosed between the functions f(x) = 2((2(2|(1cos(2πx - 1)) - 1| - 1) - 1)/(2(2|(1cos(2πx - 1)) - 1| - 1)))^2 - 5((2(2|(1cos(2πx - 1)) - 1| - 1) - 1)/(2(2|(1cos(2πx - 1)) - 1| - 1))) and g(x) = (1(2(3e^(-2x))^2 + 4(3e^(-2x)) + 4) + 3)/(-1(2(3e^(-2x))^2 + 4(3e^(-2x)) + 4) - 3) from x = -3.6 to x = -3.1. 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(-3x + 2) - 1)/(2(-3x + 2) - 3))^2 + 3((-1(-3x + 2) - 1)/(2(-3x + 2) - 3)) + 2) + 4, g(x) = -1((2(-1x - 3) + 1)/(-1(-1x - 3) - 1)) + 3, x = -0.7, and x = 0.3. Round your answer to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = -3((2(-2cos(2π(1x^2 + 4x) + 3) + 2) + 1)/(2(-2cos(2π(1x^2 + 4x) + 3) + 2) - 1)) - 3 and g(x) = (1(4(-4x^2 - 3x - 5)^2 - 5(-4x^2 - 3x - 5) - 4) - 3)/(1(4(-4x^2 - 3x - 5)^2 - 5(-4x^2 - 3x - 5) - 4) + 3) from x = 3.4 to x = 3.5. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = 1((-2(1|((3x + 2)/(-1x + 2)) - 3| + 1) - 1)/(2(1|((3x + 2)/(-1x + 2)) - 3| + 1) - 1))^2 - 3((-2(1|((3x + 2)/(-1x + 2)) - 3| + 1) - 1)/(2(1|((3x + 2)/(-1x + 2)) - 3| + 1) - 1)) - 4 and g(x) = (-2(-1e^(-2(-5x^2 + 5x + 3)) + 1) + 1)/(2(-1e^(-2(-5x^2 + 5x + 3)) + 1)) from x = -0.4 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(-3|(4x - 1) + 2| + 3)^2 - 3(-3|(4x - 1) + 2| + 3) + 3) + 3 and g(x) = 2(-1(3cos(2πx + 1) + 3) + 2) - 5 between the vertical lines x = -0.7 and 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) = (-1(2|(1(4x - 4) - 2) + 1| + 1) - 2)/(1(2|(1(4x - 4) - 2) + 1| + 1)) and g(x) = 1|(4(2x)^2 + 3(2x) - 1) - 2| - 3 between the vertical lines x = -0.8 and x = -0.5. Round to 1 decimal place.

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

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


[User]
Find the area of the region bounded by the curves f(x) = -1|(-5(-1|((-1x + 1)/(-3x - 2)) - 3| - 2)^2 - 4(-1|((-1x + 1)/(-3x - 2)) - 3| - 2) + 5) - 3| - 2, g(x) = -3|(-1(3x)^2 + 1(3x) - 3) + 3|, x = -1.1, 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) = -4((-1(2(1cos(1πx + 1) - 2) + 2) + 2)/(3(2(1cos(1πx + 1) - 2) + 2)))^2 - 1 and g(x) = 3(3sin(1π(-3x) + 2) - 2) + 5 from x = -1.5 to x = -1.1. Round to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = 2(1|(3sin(2π(-3x - 2) - 2) - 3) + 3| + 1) and g(x) = 1cos(3π(-3(1x - 2) - 2) + 1) + 2 between the vertical lines x = 2.0 and x = 2.1. Round to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = (-1(-3|((-1((3x - 3)/(-2x - 1)) - 1)/(1((3x - 3)/(-2x - 1)) + 3)) + 2|) - 2)/(-1(-3|((-1((3x - 3)/(-2x - 1)) - 1)/(1((3x - 3)/(-2x - 1)) + 3)) + 2|) + 2), g(x) = 2(-1(2x - 3)^2 + 1(2x - 3) + 1) + 1, x = 1.1, and x = 2.4. Round your answer to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = -1(-2|((3((1x + 2)/(-2x - 1)) - 1)/(3((1x + 2)/(-2x - 1)) - 1)) - 3| - 2) - 3, g(x) = 1|(4(-1cos(1πx - 1) - 1) + 2) + 3|, x = -1.7, and x = -1.0. Round your answer to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = -2((3((-2(-3|x - 2| + 2) - 1)/(3(-3|x - 2| + 2) + 3)) + 1)/(1((-2(-3|x - 2| + 2) - 1)/(3(-3|x - 2| + 2) + 3)))) - 4 and g(x) = -1cos(1π(-2(1x)^2 + 4(1x) + 4) - 3) - 3 from x = 1.3 to x = 2.7. Round to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = 1cos(2π((3(2|(-5x + 5) + 1| - 2) + 2)/(-2(2|(-5x + 5) + 1| - 2) + 3)) + 3) + 1 and g(x) = -1(-1e^(-1((-1x + 1)/(2x + 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) = -2(-2|(-3|(-1x - 3) - 1| + 2)| - 3)^2 + 5(-2|(-3|(-1x - 3) - 1| + 2)| - 3) + 5, g(x) = -2|(-3|(3sin(2πx - 1) + 3) - 1|) - 2| + 1, x = -4.7, and x = -4.6. Round your answer to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = -1(3((3(1sin(1πx) + 1) + 2)/(-2(1sin(1πx) + 1) - 2)) + 4) - 5 and g(x) = -3|(3sin(1π(3|x + 2| - 3) + 2)) - 1| between the vertical lines x = -4.1 and x = -3.8. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = 4((-1(2(3x + 2) - 2) + 2)/(-3(2(3x + 2) - 2)))^2 - 3((-1(2(3x + 2) - 2) + 2)/(-3(2(3x + 2) - 2))) + 2 and g(x) = 1(-5((1x)/(-3x - 3)) - 5)^2 + 5(-5((1x)/(-3x - 3)) - 5) + 4 from x = -0.2 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) = 3cos(1π(-3(-2|(-5x^2 - 3x - 3) - 2| - 3)^2 + 1(-2|(-5x^2 - 3x - 3) - 2| - 3) + 3) + 3) + 1, g(x) = 1cos(1π(-4(-4x^2 - 4x + 3) + 1) + 3) - 1, x = -2.6, and x = -2.5. 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) = (3(-1(-4(3|x + 3| - 3)^2 - 1(3|x + 3| - 3) + 4)^2 - 4(-4(3|x + 3| - 3)^2 - 1(3|x + 3| - 3) + 4) - 4) + 3)/(3(-1(-4(3|x + 3| - 3)^2 - 1(3|x + 3| - 3) + 4)^2 - 4(-4(3|x + 3| - 3)^2 - 1(3|x + 3| - 3) + 4) - 4)) and g(x) = -3(-3sin(3π(2|x + 2| - 1)) - 1) + 4 between the vertical lines x = -1.5 and 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|(-1(4x^2 - 5x - 5) + 4) + 3| + 2) + 1 and g(x) = (-2(-3(3|x - 3|) + 4) + 2)/(-2(-3(3|x - 3|) + 4) + 3) between the vertical lines x = 2.6 and x = 2.7. Round to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = (3(4((-2(-1|x - 3| + 2))/(-1(-1|x - 3| + 2) + 3))^2 - 1) - 1)/(2(4((-2(-1|x - 3| + 2))/(-1(-1|x - 3| + 2) + 3))^2 - 1) + 1), g(x) = 2|((2(1x) + 2)/(-3(1x) - 2)) - 3| + 2, x = 1.4, 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) = -3|(2e^(1(3(-4x) + 2)) - 1) - 1| + 3, g(x) = 3cos(3π(-3|(5x) + 1|) + 1) + 3, 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) = -3((-1(4(-3|x + 3| + 2) - 1) - 2)/(-3(4(-3|x + 3| + 2) - 1) - 3)) + 2 and g(x) = -1|(-1|(-5x^2 + 5x + 1)| + 1) + 2| between the vertical lines x = -3.7 and x = -2.3. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = -3e^(-2(-2((-2(1x - 2) + 3)/(2(1x - 2))) + 5)) - 1 and g(x) = 2(1sin(3π(1|x + 2| + 3) + 3) + 3)^2 - 4(1sin(3π(1|x + 2| + 3) + 3) + 3) - 1 from x = -3.8 to x = -3.2. Round to 1 decimal place.

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

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

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[User]
Calculate the area enclosed between the functions f(x) = 3((-3(-1cos(3π((-2x + 2)/(-3x + 4)) + 1)) + 2)/(2(-1cos(3π((-2x + 2)/(-3x + 4)) + 1)) - 1))^2 - 1((-3(-1cos(3π((-2x + 2)/(-3x + 4)) + 1)) + 2)/(2(-1cos(3π((-2x + 2)/(-3x + 4)) + 1)) - 1)) + 5 and g(x) = 3|(2((3x - 2)/(-3x - 3))^2 + 5((3x - 2)/(-3x - 3)) - 1) + 1| + 3 from x = 1.6 to x = 1.7000000000000002. Round to 1 decimal place.

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

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