[User]
Find the area of the region bounded by the curves f(x) = -3(1(1|(-1cos(1π(-2|(1x + 2) - 1| - 2) + 3)) - 2| - 2))^2 + 3(1(1|(-1cos(1π(-2|(1x + 2) - 1| - 2) + 3)) - 2| - 2)) + 4, g(x) = -4((3(-5((2(2|x + 3|) - 2)/(-2(2|x + 3|)))^2 + 1((2(2|x + 3|) - 2)/(-2(2|x + 3|))) + 5))/(1(-5((2(2|x + 3|) - 2)/(-2(2|x + 3|)))^2 + 1((2(2|x + 3|) - 2)/(-2(2|x + 3|))) + 5) + 3)) - 5, x = -3.2, and x = -2.8. 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) = -3cos(1π(3(-1(1|((3(-2x - 5) + 1)/(2(-2x - 5) - 1)) + 2| + 2) + 4)^2 - 3(-1(1|((3(-2x - 5) + 1)/(2(-2x - 5) - 1)) + 2| + 2) + 4) + 3) - 2) + 1, g(x) = 3cos(2π((3(1|((1(-2|x - 3| - 2) - 1)/(2(-2|x - 3| - 2) - 3)) + 1|) - 3)/(2(1|((1(-2|x - 3| - 2) - 1)/(2(-2|x - 3| - 2) - 3)) + 1|) - 3)) + 1) + 2, x = -2.8, and x = -2.6999999999999997. Round your answer to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = (1(-2((-3(3(1e^(-1((-3x + 2)/(-2x - 3))) + 1)^2 + 5(1e^(-1((-3x + 2)/(-2x - 3))) + 1) + 5) - 3)/(3(3(1e^(-1((-3x + 2)/(-2x - 3))) + 1)^2 + 5(1e^(-1((-3x + 2)/(-2x - 3))) + 1) + 5) + 2))) - 3)/(-2(-2((-3(3(1e^(-1((-3x + 2)/(-2x - 3))) + 1)^2 + 5(1e^(-1((-3x + 2)/(-2x - 3))) + 1) + 5) - 3)/(3(3(1e^(-1((-3x + 2)/(-2x - 3))) + 1)^2 + 5(1e^(-1((-3x + 2)/(-2x - 3))) + 1) + 5) + 2))) - 2), g(x) = (1(2|(1cos(1π(-5(-2x - 2)^2 - 4(-2x - 2) + 5) + 1)) - 2| - 2) - 3)/(-2(2|(1cos(1π(-5(-2x - 2)^2 - 4(-2x - 2) + 5) + 1)) - 2| - 2) - 3), x = -3, and x = 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) = 3|(2|(-2sin(2π(5(-1|(2|x + 3| + 1) + 3| + 2)^2 + 4(-1|(2|x + 3| + 1) + 3| + 2) + 5) + 3) - 1) + 1| + 1) - 3| + 1, g(x) = 4((-3(1|(1|(3|x + 3|) - 1| - 1)| + 2) + 2)/(2(1|(1|(3|x + 3|) - 1| - 1)| + 2) + 1))^2 - 2((-3(1|(1|(3|x + 3|) - 1| - 1)| + 2) + 2)/(2(1|(1|(3|x + 3|) - 1| - 1)| + 2) + 1)) - 4, x = 4.1, and x = 4.199999999999999. Round your answer to 1 decimal place.

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


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

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


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

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


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

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


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

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


[User]
Calculate the area enclosed between the functions f(x) = -1((3((-3(1cos(3π(2(5x - 2) - 5) + 2) + 3) - 1)/(3(1cos(3π(2(5x - 2) - 5) + 2) + 3) + 2)) - 3)/(-1((-3(1cos(3π(2(5x - 2) - 5) + 2) + 3) - 1)/(3(1cos(3π(2(5x - 2) - 5) + 2) + 3) + 2)) + 3))^2 + 1((3((-3(1cos(3π(2(5x - 2) - 5) + 2) + 3) - 1)/(3(1cos(3π(2(5x - 2) - 5) + 2) + 3) + 2)) - 3)/(-1((-3(1cos(3π(2(5x - 2) - 5) + 2) + 3) - 1)/(3(1cos(3π(2(5x - 2) - 5) + 2) + 3) + 2)) + 3)) + 5 and g(x) = -4((-1(1(-5(5x^2 - 1x - 3)^2 - 2(5x^2 - 1x - 3) + 1)^2 + 2(-5(5x^2 - 1x - 3)^2 - 2(5x^2 - 1x - 3) + 1) - 4) + 1)/(-2(1(-5(5x^2 - 1x - 3)^2 - 2(5x^2 - 1x - 3) + 1)^2 + 2(-5(5x^2 - 1x - 3)^2 - 2(5x^2 - 1x - 3) + 1) - 4) - 3)) + 1 from x = 0.7 to x = 1.0. Round to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = (-1(-2|(1(-1(-4(2x^2 - 2x + 3)^2 + 5(2x^2 - 2x + 3) - 2) - 4)^2 - 1(-1(-4(2x^2 - 2x + 3)^2 + 5(2x^2 - 2x + 3) - 2) - 4) - 3)| + 3) + 2)/(-2(-2|(1(-1(-4(2x^2 - 2x + 3)^2 + 5(2x^2 - 2x + 3) - 2) - 4)^2 - 1(-1(-4(2x^2 - 2x + 3)^2 + 5(2x^2 - 2x + 3) - 2) - 4) - 3)| + 3) + 1) and g(x) = 1|(-3|(3(3e^(2((1x - 2)/(1x + 2)))) - 2)| - 1) + 2| between the vertical lines x = 0.2 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) = 3(-1(-1|((-3(3|(-1|x|) - 3|))/(2(3|(-1|x|) - 3|) - 1)) - 3| + 1)^2 + 4(-1|((-3(3|(-1|x|) - 3|))/(2(3|(-1|x|) - 3|) - 1)) - 3| + 1) - 2) + 5 and g(x) = (-1((-1(4(3|(-3|x - 1| + 1)| + 2)^2 - 4(3|(-3|x - 1| + 1)| + 2) + 2) - 2)/(-3(4(3|(-3|x - 1| + 1)| + 2)^2 - 4(3|(-3|x - 1| + 1)| + 2) + 2))) - 2)/(3((-1(4(3|(-3|x - 1| + 1)| + 2)^2 - 4(3|(-3|x - 1| + 1)| + 2) + 2) - 2)/(-3(4(3|(-3|x - 1| + 1)| + 2)^2 - 4(3|(-3|x - 1| + 1)| + 2) + 2))) - 1) between the vertical lines x = 1.0 and x = 1.1. Round to 1 decimal place.

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


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

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = -1(5(4(-5((-1((1x - 1)/(-2x - 3)) + 1)/(-3((1x - 1)/(-2x - 3)) + 1))^2 + 4((-1((1x - 1)/(-2x - 3)) + 1)/(-3((1x - 1)/(-2x - 3)) + 1))) - 1) - 1) - 1 and g(x) = (-2(-3(-4((3(3cos(1πx + 1)) - 3)/(3(3cos(1πx + 1)))) + 3)^2 - 2(-4((3(3cos(1πx + 1)) - 3)/(3(3cos(1πx + 1)))) + 3) - 4) + 2)/(-3(-3(-4((3(3cos(1πx + 1)) - 3)/(3(3cos(1πx + 1)))) + 3)^2 - 2(-4((3(3cos(1πx + 1)) - 3)/(3(3cos(1πx + 1)))) + 3) - 4) - 3) between the vertical lines x = -0.7 and x = 2.8. Round to 1 decimal place.

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


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

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


[User]
Find the area of the region bounded by the curves f(x) = -3(-1((-3(1|(-1sin(1π(3x^2 + 5x + 1) - 3) + 2) - 1| - 1) - 1)/(-2(1|(-1sin(1π(3x^2 + 5x + 1) - 3) + 2) - 1| - 1) - 1))), g(x) = (1((3(-3|(-2(3x^2 - 5x + 4)^2 + 2(3x^2 - 5x + 4)) + 1| - 3) - 3)/(-1(-3|(-2(3x^2 - 5x + 4)^2 + 2(3x^2 - 5x + 4)) + 1| - 3) + 2)) + 2)/(2((3(-3|(-2(3x^2 - 5x + 4)^2 + 2(3x^2 - 5x + 4)) + 1| - 3) - 3)/(-1(-3|(-2(3x^2 - 5x + 4)^2 + 2(3x^2 - 5x + 4)) + 1| - 3) + 2)) + 2), x = 4.1, and x = 4.199999999999999. Round your answer to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = -1((-1(-3cos(3π((3(-2|(5x - 3)|) + 1)/(2(-2|(5x - 3)|) + 2)) + 3) + 1) + 3)/(1(-3cos(3π((3(-2|(5x - 3)|) + 1)/(2(-2|(5x - 3)|) + 2)) + 3) + 1) - 3))^2 + 3((-1(-3cos(3π((3(-2|(5x - 3)|) + 1)/(2(-2|(5x - 3)|) + 2)) + 3) + 1) + 3)/(1(-3cos(3π((3(-2|(5x - 3)|) + 1)/(2(-2|(5x - 3)|) + 2)) + 3) + 1) - 3)) - 3, g(x) = -1|(2(3|(-2(5x + 4)^2 - 1(5x + 4) + 3) - 1| - 2)^2 - 4(3|(-2(5x + 4)^2 - 1(5x + 4) + 3) - 1| - 2) + 3)| + 2, x = -1.0, 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) = -1|(-5(-4(5(-4((-1x + 2)/(-1x - 3)) - 3)^2 - 4(-4((-1x + 2)/(-1x - 3)) - 3) + 1)^2 - 5(5(-4((-1x + 2)/(-1x - 3)) - 3)^2 - 4(-4((-1x + 2)/(-1x - 3)) - 3) + 1) + 1)^2 + 5(-4(5(-4((-1x + 2)/(-1x - 3)) - 3)^2 - 4(-4((-1x + 2)/(-1x - 3)) - 3) + 1)^2 - 5(5(-4((-1x + 2)/(-1x - 3)) - 3)^2 - 4(-4((-1x + 2)/(-1x - 3)) - 3) + 1) + 1) + 1) + 1| + 1, g(x) = (-2(-5((-3(-4(-3x - 3) + 3) - 2)/(-1(-4(-3x - 3) + 3) - 3))^2 + 4) + 1)/(1(-5((-3(-4(-3x - 3) + 3) - 2)/(-1(-4(-3x - 3) + 3) - 3))^2 + 4) - 3), x = -0.3, and x = -0.19999999999999998. Round your answer to 1 decimal place.

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


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

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


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

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


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

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


[User]
Find the area of the region bounded by the curves f(x) = (-1(-3(-3sin(2π(5(1|(-3|x + 1| + 1) - 2| - 1)^2 + 1(1|(-3|x + 1| + 1) - 2| - 1) + 1) - 3) + 3)^2 - 1(-3sin(2π(5(1|(-3|x + 1| + 1) - 2| - 1)^2 + 1(1|(-3|x + 1| + 1) - 2| - 1) + 1) - 3) + 3) - 5))/(1(-3(-3sin(2π(5(1|(-3|x + 1| + 1) - 2| - 1)^2 + 1(1|(-3|x + 1| + 1) - 2| - 1) + 1) - 3) + 3)^2 - 1(-3sin(2π(5(1|(-3|x + 1| + 1) - 2| - 1)^2 + 1(1|(-3|x + 1| + 1) - 2| - 1) + 1) - 3) + 3) - 5)), g(x) = -2(5(-1|(2|(-3x - 2) + 3|) + 1| + 3)^2 + 5(-1|(2|(-3x - 2) + 3|) + 1| + 3) + 1) + 4, x = 0.0, and x = 0.6. Round your answer to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = -2((-2(2sin(2π(-3|(1((2x)/(-3x + 1))^2 + 3((2x)/(-3x + 1)) + 1)|) - 3) - 1) + 1)/(2(2sin(2π(-3|(1((2x)/(-3x + 1))^2 + 3((2x)/(-3x + 1)) + 1)|) - 3) - 1) - 3))^2 - 3((-2(2sin(2π(-3|(1((2x)/(-3x + 1))^2 + 3((2x)/(-3x + 1)) + 1)|) - 3) - 1) + 1)/(2(2sin(2π(-3|(1((2x)/(-3x + 1))^2 + 3((2x)/(-3x + 1)) + 1)|) - 3) - 1) - 3)) - 1, g(x) = (1(-1|((1(-1(2x^2 + 4x + 4) + 3) + 1)/(-1(-1(2x^2 + 4x + 4) + 3) - 1)) - 2| - 1) + 3)/(-1(-1|((1(-1(2x^2 + 4x + 4) + 3) + 1)/(-1(-1(2x^2 + 4x + 4) + 3) - 1)) - 2| - 1) + 2), x = 0.2, and x = 0.30000000000000004. 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(2(1(1(2x - 5)^2 - 3(2x - 5) - 3)^2 + 2(1(2x - 5)^2 - 3(2x - 5) - 3) - 5)^2 + 5(1(1(2x - 5)^2 - 3(2x - 5) - 3)^2 + 2(1(2x - 5)^2 - 3(2x - 5) - 3) - 5)) + 2)/(3(2(1(1(2x - 5)^2 - 3(2x - 5) - 3)^2 + 2(1(2x - 5)^2 - 3(2x - 5) - 3) - 5)^2 + 5(1(1(2x - 5)^2 - 3(2x - 5) - 3)^2 + 2(1(2x - 5)^2 - 3(2x - 5) - 3) - 5)) + 2))^2 - 2((1(2(1(1(2x - 5)^2 - 3(2x - 5) - 3)^2 + 2(1(2x - 5)^2 - 3(2x - 5) - 3) - 5)^2 + 5(1(1(2x - 5)^2 - 3(2x - 5) - 3)^2 + 2(1(2x - 5)^2 - 3(2x - 5) - 3) - 5)) + 2)/(3(2(1(1(2x - 5)^2 - 3(2x - 5) - 3)^2 + 2(1(2x - 5)^2 - 3(2x - 5) - 3) - 5)^2 + 5(1(1(2x - 5)^2 - 3(2x - 5) - 3)^2 + 2(1(2x - 5)^2 - 3(2x - 5) - 3) - 5)) + 2)) and g(x) = 3|(3cos(3π(3(4(5x^2 - 3x)^2 + 5(5x^2 - 3x)) - 3) - 3) + 3) + 1| - 2 between the vertical lines x = 2.0 and x = 2.1. Round to 1 decimal place.

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


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

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = 1|((-3((1((2(3(-2|x| - 1) - 1))/(-3(3(-2|x| - 1) - 1) - 3)) + 3)/(-2((2(3(-2|x| - 1) - 1))/(-3(3(-2|x| - 1) - 1) - 3)) - 3)) + 1)/(-3((1((2(3(-2|x| - 1) - 1))/(-3(3(-2|x| - 1) - 1) - 3)) + 3)/(-2((2(3(-2|x| - 1) - 1))/(-3(3(-2|x| - 1) - 1) - 3)) - 3)) + 2)) + 3| + 3 and g(x) = (2(3(3(4(1x - 4) + 2)^2 + 2(4(1x - 4) + 2) - 3) - 3) - 3)/(1(3(3(4(1x - 4) + 2)^2 + 2(4(1x - 4) + 2) - 3) - 3)) between the vertical lines x = 3.1 and x = 3.7. Round to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = (-2(-2(-3|(3|(1(2|x + 3| - 2)^2 - 4(2|x + 3| - 2) - 2)|) + 3| + 3)) - 2)/(2(-2(-3|(3|(1(2|x + 3| - 2)^2 - 4(2|x + 3| - 2) - 2)|) + 3| + 3)) - 1), g(x) = 1e^(-1(-2(-2(-4(4x^2 + 2x - 5) - 5) + 5) + 3)) - 2, x = -1.2, and x = 0.7. Round your answer to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = -1|(4(-4(-5(-2|((-3x + 1)/(2x)) + 2|)^2 + 5(-2|((-3x + 1)/(2x)) + 2|) + 3)^2 + 4(-5(-2|((-3x + 1)/(2x)) + 2|)^2 + 5(-2|((-3x + 1)/(2x)) + 2|) + 3)) + 3) + 3| + 1 and g(x) = (3((-1(4((-1(-1x^2 + 4x + 5) - 3)/(-2(-1x^2 + 4x + 5) - 1)) + 3) + 3)/(1(4((-1(-1x^2 + 4x + 5) - 3)/(-2(-1x^2 + 4x + 5) - 1)) + 3) + 1)) - 2)/(-1((-1(4((-1(-1x^2 + 4x + 5) - 3)/(-2(-1x^2 + 4x + 5) - 1)) + 3) + 3)/(1(4((-1(-1x^2 + 4x + 5) - 3)/(-2(-1x^2 + 4x + 5) - 1)) + 3) + 1)) - 2) from x = -1.4 to x = -1.2999999999999998. 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(3(-2|((-1x)/(-3x + 1)) - 3| + 1) + 4) - 5)) + 5, g(x) = -3sin(2π(-5(1(-3((3x + 2)/(1x + 1))^2 - 5((3x + 2)/(1x + 1)) - 3) - 3)^2 - 5(1(-3((3x + 2)/(1x + 1))^2 - 5((3x + 2)/(1x + 1)) - 3) - 3) - 2) - 3), x = 0.4, and x = 0.5. Round your answer to 1 decimal place.

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

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

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

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[User]
Calculate the area enclosed between the functions f(x) = (1(-4(2|(-2sin(1π((-1(2x) - 3)/(-1(2x) - 3)) - 1) - 1) + 1| + 3) - 4))/(-2(-4(2|(-2sin(1π((-1(2x) - 3)/(-1(2x) - 3)) - 1) - 1) + 1| + 3) - 4)) and g(x) = 3(2((3(1(-2sin(1πx) + 3)^2 - 4(-2sin(1πx) + 3) + 4) - 1)/(1(1(-2sin(1πx) + 3)^2 - 4(-2sin(1πx) + 3) + 4) + 3)) - 2) + 1 from x = -2.0 to x = -1.0. Round to 1 decimal place.

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


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

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


[User]
Find the area of the region bounded by the curves f(x) = (-3(4((-3(-5((-1(3x - 2) + 2)/(3(3x - 2))) + 3) - 1)/(3(-5((-1(3x - 2) + 2)/(3(3x - 2))) + 3) - 2))^2 + 3((-3(-5((-1(3x - 2) + 2)/(3(3x - 2))) + 3) - 1)/(3(-5((-1(3x - 2) + 2)/(3(3x - 2))) + 3) - 2)) + 1) - 2)/(-3(4((-3(-5((-1(3x - 2) + 2)/(3(3x - 2))) + 3) - 1)/(3(-5((-1(3x - 2) + 2)/(3(3x - 2))) + 3) - 2))^2 + 3((-3(-5((-1(3x - 2) + 2)/(3(3x - 2))) + 3) - 1)/(3(-5((-1(3x - 2) + 2)/(3(3x - 2))) + 3) - 2)) + 1) + 4), g(x) = -3|(-3|(1|(-3cos(2π((-2x + 2)/(2x - 1)) + 2)) - 2| - 2) - 2| + 2) + 3| + 3, x = -0.4, 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) = 2(4((-2(-1|((-2((-2x - 3)/(2x + 1)) + 2)/(2((-2x - 3)/(2x + 1)) - 1)) + 1| + 2) + 2)/(-3(-1|((-2((-2x - 3)/(2x + 1)) + 2)/(2((-2x - 3)/(2x + 1)) - 1)) + 1| + 2) + 1)) + 5)^2 - 3(4((-2(-1|((-2((-2x - 3)/(2x + 1)) + 2)/(2((-2x - 3)/(2x + 1)) - 1)) + 1| + 2) + 2)/(-3(-1|((-2((-2x - 3)/(2x + 1)) + 2)/(2((-2x - 3)/(2x + 1)) - 1)) + 1| + 2) + 1)) + 5) - 2, g(x) = 4(-4((3((-1((2x + 1)/(-2x - 2)) - 3)/(1((2x + 1)/(-2x - 2)) + 2)) - 2)/(-2((-1((2x + 1)/(-2x - 2)) - 3)/(1((2x + 1)/(-2x - 2)) + 2)) - 1)) - 5)^2 - 5(-4((3((-1((2x + 1)/(-2x - 2)) - 3)/(1((2x + 1)/(-2x - 2)) + 2)) - 2)/(-2((-1((2x + 1)/(-2x - 2)) - 3)/(1((2x + 1)/(-2x - 2)) + 2)) - 1)) - 5) - 3, x = -2.5, 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((1(1(2(-1(-2x^2 + 2x + 4) - 4) - 1) - 2) - 2)/(2(1(2(-1(-2x^2 + 2x + 4) - 4) - 1) - 2) - 1)) - 1, g(x) = 2(-1(-1sin(2π((-3((2x)/(-2x + 1)) - 2)/(-2((2x)/(-2x + 1)))) + 1)) + 3) + 1, x = -1.8, and x = 2.8. Round your answer to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = -5(2|(2sin(1π(1|(3(1x - 4) + 5) - 1| - 2) - 3)) + 1| - 3)^2 + 5(2|(2sin(1π(1|(3(1x - 4) + 5) - 1| - 2) - 3)) + 1| - 3) + 5, g(x) = 2((2(-3(1(1x^2 - 5x + 3) - 3) + 1))/(1(-3(1(1x^2 - 5x + 3) - 3) + 1) + 1))^2 - 5((2(-3(1(1x^2 - 5x + 3) - 3) + 1))/(1(-3(1(1x^2 - 5x + 3) - 3) + 1) + 1)) + 4, x = -4.6, and x = -4.4. Round your answer to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = (-3(-5(-5(-3|((-2(5x^2 + 3x - 3) - 2)/(-2(5x^2 + 3x - 3))) + 2| + 1)^2 + 4(-3|((-2(5x^2 + 3x - 3) - 2)/(-2(5x^2 + 3x - 3))) + 2| + 1)) + 3) + 3)/(2(-5(-5(-3|((-2(5x^2 + 3x - 3) - 2)/(-2(5x^2 + 3x - 3))) + 2| + 1)^2 + 4(-3|((-2(5x^2 + 3x - 3) - 2)/(-2(5x^2 + 3x - 3))) + 2| + 1)) + 3)) and g(x) = 2e^(-1((-2(-2|((1(-1x + 4) + 3)/(-1(-1x + 4) + 2)) - 2| + 3))/(-2(-2|((1(-1x + 4) + 3)/(-1(-1x + 4) + 2)) - 2| + 3) - 3))) + 1 between the vertical lines x = -1.1 and x = 0.5. Round to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = 3|(5((2(2(2|(-2x^2 + 5x) + 3|) + 3))/(-1(2(2|(-2x^2 + 5x) + 3|) + 3) + 2))^2 - 3((2(2(2|(-2x^2 + 5x) + 3|) + 3))/(-1(2(2|(-2x^2 + 5x) + 3|) + 3) + 2)) - 2) - 3| - 1 and g(x) = (-1(2(-2(4(-2sin(2πx - 2)) + 2) - 5) - 4))/(-1(2(-2(4(-2sin(2πx - 2)) + 2) - 5) - 4) - 2) between the vertical lines x = -0.3 and 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|(-3((2(2x^2 - 1x - 4) - 1)/(-3(2x^2 - 1x - 4)))^2 - 2((2(2x^2 - 1x - 4) - 1)/(-3(2x^2 - 1x - 4))) + 3) - 2| + 1) - 3))/(-1(1(2|(-3((2(2x^2 - 1x - 4) - 1)/(-3(2x^2 - 1x - 4)))^2 - 2((2(2x^2 - 1x - 4) - 1)/(-3(2x^2 - 1x - 4))) + 3) - 2| + 1) - 3) + 2), g(x) = -1(-3e^(-1(2(5(2|x + 2| + 3) - 5) - 4)) - 3) - 3, x = -1.3, and x = -1.2. 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(-4((1(-3|(-5(1x + 1) - 4) - 2| - 3) - 1)/(-2(-3|(-5(1x + 1) - 4) - 2| - 3) + 1)) + 4)^2 + 1(-4((1(-3|(-5(1x + 1) - 4) - 2| - 3) - 1)/(-2(-3|(-5(1x + 1) - 4) - 2| - 3) + 1)) + 4) + 5 and g(x) = -3((3(5(-4(-4x + 1) - 1)^2 - 2(-4(-4x + 1) - 1) + 2) - 3)/(1(5(-4(-4x + 1) - 1)^2 - 2(-4(-4x + 1) - 1) + 2) - 3)) between the vertical lines x = 0.3 and x = 0.4. Round to 1 decimal place.

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

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[User]
Find the area of the region bounded by the curves f(x) = 3(1|(2(2|(3sin(2π(-3x + 1) + 1) - 3) - 2| - 3)^2 - 1(2|(3sin(2π(-3x + 1) + 1) - 3) - 2| - 3) + 5)| - 2) + 2, g(x) = 4(3(1|(-1((3x + 1)/(-2x + 3))^2 + 3((3x + 1)/(-2x + 3)) - 4)|)^2 - 1(1|(-1((3x + 1)/(-2x + 3))^2 + 3((3x + 1)/(-2x + 3)) - 4)|) - 3)^2 - 3(3(1|(-1((3x + 1)/(-2x + 3))^2 + 3((3x + 1)/(-2x + 3)) - 4)|)^2 - 1(1|(-1((3x + 1)/(-2x + 3))^2 + 3((3x + 1)/(-2x + 3)) - 4)|) - 3) - 2, x = 0.7, 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(2(1|(-5(-2e^(1(-3x - 5)))^2 - 2(-2e^(1(-3x - 5))) - 3) + 1| - 3) - 5) + 5, g(x) = -1|((-1(-4(2|((2x - 3)/(-1x + 2)) + 2| - 2)^2 + 5) - 2)/(2(-4(2|((2x - 3)/(-1x + 2)) + 2| - 2)^2 + 5) - 1)) - 2| + 1, x = -0.2, 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) = -1(5(3(5(-4((-1x)/(3x - 2)) - 5) + 1) - 4)^2 - 1) + 5, g(x) = (1(-1|(5(5((2x - 2)/(2x + 2))^2 - 2((2x - 2)/(2x + 2)) + 2)^2 + 1(5((2x - 2)/(2x + 2))^2 - 2((2x - 2)/(2x + 2)) + 2) - 1) + 3| + 1))/(-3(-1|(5(5((2x - 2)/(2x + 2))^2 - 2((2x - 2)/(2x + 2)) + 2)^2 + 1(5((2x - 2)/(2x + 2))^2 - 2((2x - 2)/(2x + 2)) + 2) - 1) + 3| + 1) - 2), x = 0.9, 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(-2|(-5(3|(-4((1x + 3)/(1x + 3)) - 2) + 3| - 3)^2 - 5(3|(-4((1x + 3)/(1x + 3)) - 2) + 3| - 3) + 3) + 3| + 1) - 2)/(-1(-2|(-5(3|(-4((1x + 3)/(1x + 3)) - 2) + 3| - 3)^2 - 5(3|(-4((1x + 3)/(1x + 3)) - 2) + 3| - 3) + 3) + 3| + 1) + 2) and g(x) = 5(-2|(2|((-2((3x - 3)/(-1x - 2)) - 1)/(1((3x - 3)/(-1x - 2)) - 2)) + 2| + 1) - 1| + 1) + 5 from x = -3.2 to x = -1.5. Round to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = (1(-3|(2((2(-4(2cos(3πx + 2)) - 4) - 3)/(-1(-4(2cos(3πx + 2)) - 4))) - 2) - 2| + 3) + 2)/(-1(-3|(2((2(-4(2cos(3πx + 2)) - 4) - 3)/(-1(-4(2cos(3πx + 2)) - 4))) - 2) - 2| + 3) + 2), g(x) = 4(-2cos(2π(-2|((1((2x + 3)/(1x - 3)))/(-2((2x + 3)/(1x - 3)) + 1)) + 1| - 1) + 3) - 1)^2 + 2(-2cos(2π(-2|((1((2x + 3)/(1x - 3)))/(-2((2x + 3)/(1x - 3)) + 1)) + 1| - 1) + 3) - 1), x = -3.1, and x = 0.7. 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(3|(1(-2|(-1|x| + 1) - 1| + 2) + 3)|) - 1)/(-3(3|(1(-2|(-1|x| + 1) - 1| + 2) + 3)|))) - 3) + 2, g(x) = 2|(1((-1(-2sin(1π(1|x + 1| + 3) - 2) - 1) + 1)/(-1(-2sin(1π(1|x + 1| + 3) - 2) - 1)))) - 3| + 2, x = 2.6, and x = 2.7. Round your answer to 1 decimal place.

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

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

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[User]
Find the area of the region bounded by the curves f(x) = (-2(-1|((-2((3((1(-2|x - 1| + 2) - 1)/(2(-2|x - 1| + 2) + 1)))/(-3((1(-2|x - 1| + 2) - 1)/(2(-2|x - 1| + 2) + 1)) - 1)) + 2)/(-2((3((1(-2|x - 1| + 2) - 1)/(2(-2|x - 1| + 2) + 1)))/(-3((1(-2|x - 1| + 2) - 1)/(2(-2|x - 1| + 2) + 1)) - 1)) + 3)) + 3| - 1) + 2)/(1(-1|((-2((3((1(-2|x - 1| + 2) - 1)/(2(-2|x - 1| + 2) + 1)))/(-3((1(-2|x - 1| + 2) - 1)/(2(-2|x - 1| + 2) + 1)) - 1)) + 2)/(-2((3((1(-2|x - 1| + 2) - 1)/(2(-2|x - 1| + 2) + 1)))/(-3((1(-2|x - 1| + 2) - 1)/(2(-2|x - 1| + 2) + 1)) - 1)) + 3)) + 3| - 1) + 3), g(x) = -2|((2((1((-2(1|x - 3| + 1) + 1)/(-2(1|x - 3| + 1) + 3)) + 3)/(3((-2(1|x - 3| + 1) + 1)/(-2(1|x - 3| + 1) + 3)) - 2)) + 2)/(-3((1((-2(1|x - 3| + 1) + 1)/(-2(1|x - 3| + 1) + 3)) + 3)/(3((-2(1|x - 3| + 1) + 1)/(-2(1|x - 3| + 1) + 3)) - 2)) + 4)) - 1| + 3, x = 1.7, and x = 1.8. Round your answer to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = -2|((1(3((2(2(-1x + 3)^2 + 3(-1x + 3) - 3) - 2)/(-1(2(-1x + 3)^2 + 3(-1x + 3) - 3) + 3)) + 5) + 2)/(1(3((2(2(-1x + 3)^2 + 3(-1x + 3) - 3) - 2)/(-1(2(-1x + 3)^2 + 3(-1x + 3) - 3) + 3)) + 5) - 2)) - 2| and g(x) = -2(-1|(1|(1|(-1sin(3πx - 2) + 1) + 3| - 2) - 1| + 3)| - 2)^2 - 4(-1|(1|(1|(-1sin(3πx - 2) + 1) + 3| - 2) - 1| + 3)| - 2) - 4 from x = 2.6 to x = 4.9. Round to 1 decimal place.

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

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

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[User]
Find the area of the region bounded by the curves f(x) = (-3((-2(-1(-3(-2sin(3π(1|x - 2| - 1) + 2) - 2) + 2) + 5) + 1)/(3(-1(-3(-2sin(3π(1|x - 2| - 1) + 2) - 2) + 2) + 5))) - 1)/(-1((-2(-1(-3(-2sin(3π(1|x - 2| - 1) + 2) - 2) + 2) + 5) + 1)/(3(-1(-3(-2sin(3π(1|x - 2| - 1) + 2) - 2) + 2) + 5))) - 2), g(x) = 1(-1|(3|(2|(1x - 4) + 3|) + 2| + 1) - 2| + 2) + 5, x = 0.8, and x = 1.3. 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) = -5(-3(3|(3cos(2π(-4((-3x + 3)/(1x)) - 5) + 2) + 2)|) + 3) + 4 and g(x) = (-1(1(-3(-4(2x - 4) + 5)^2 + 4(-4(2x - 4) + 5) - 5)^2 - 2(-3(-4(2x - 4) + 5)^2 + 4(-4(2x - 4) + 5) - 5) - 4) + 2)/(-2(1(-3(-4(2x - 4) + 5)^2 + 4(-4(2x - 4) + 5) - 5)^2 - 2(-3(-4(2x - 4) + 5)^2 + 4(-4(2x - 4) + 5) - 5) - 4) - 1) 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) = -4(-2((-3((-2(-2|((-2x - 2)/(2x - 3)) - 1| - 1) + 2)/(-1(-2|((-2x - 2)/(2x - 3)) - 1| - 1) - 1)) + 1)/(1((-2(-2|((-2x - 2)/(2x - 3)) - 1| - 1) + 2)/(-1(-2|((-2x - 2)/(2x - 3)) - 1| - 1) - 1)) + 3))^2 - 1((-3((-2(-2|((-2x - 2)/(2x - 3)) - 1| - 1) + 2)/(-1(-2|((-2x - 2)/(2x - 3)) - 1| - 1) - 1)) + 1)/(1((-2(-2|((-2x - 2)/(2x - 3)) - 1| - 1) + 2)/(-1(-2|((-2x - 2)/(2x - 3)) - 1| - 1) - 1)) + 3)) - 1)^2 + 2(-2((-3((-2(-2|((-2x - 2)/(2x - 3)) - 1| - 1) + 2)/(-1(-2|((-2x - 2)/(2x - 3)) - 1| - 1) - 1)) + 1)/(1((-2(-2|((-2x - 2)/(2x - 3)) - 1| - 1) + 2)/(-1(-2|((-2x - 2)/(2x - 3)) - 1| - 1) - 1)) + 3))^2 - 1((-3((-2(-2|((-2x - 2)/(2x - 3)) - 1| - 1) + 2)/(-1(-2|((-2x - 2)/(2x - 3)) - 1| - 1) - 1)) + 1)/(1((-2(-2|((-2x - 2)/(2x - 3)) - 1| - 1) + 2)/(-1(-2|((-2x - 2)/(2x - 3)) - 1| - 1) - 1)) + 3)) - 1) + 3 and g(x) = -2(3sin(3π((-1(2(-4x - 5) - 4) + 3)/(1(2(-4x - 5) - 4) - 3)) + 1) - 2)^2 + 3(3sin(3π((-1(2(-4x - 5) - 4) + 3)/(1(2(-4x - 5) - 4) - 3)) + 1) - 2) + 1 between the vertical lines x = -4.8 and x = 0.8. Round to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = -2sin(2π(1(2(-4(4((-2x)/(-1x - 3)) - 1) + 4)^2 - 1(-4(4((-2x)/(-1x - 3)) - 1) + 4) - 2) + 5) + 3) - 3, g(x) = -3|(-1|(-2sin(2π(4((-1x + 1)/(2x - 3))^2 - 2((-1x + 1)/(2x - 3)) - 3) + 1) + 1) - 1| - 1)|, x = 2.8, and x = 3.3. Round your answer to 1 decimal place.

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

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

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

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[User]
Find the area of the region bounded by the curves f(x) = (-1(1(-3sin(1π((-1(-1|(-4x - 4) + 2| + 1) + 3)/(-2(-1|(-4x - 4) + 2| + 1))) + 1) - 1) + 2) + 2)/(3(1(-3sin(1π((-1(-1|(-4x - 4) + 2| + 1) + 3)/(-2(-1|(-4x - 4) + 2| + 1))) + 1) - 1) + 2)), g(x) = 1|(-3((-2((-3(1x^2 - 4x) + 1)/(-3(1x^2 - 4x) - 2)) + 2)/(2((-3(1x^2 - 4x) + 1)/(-3(1x^2 - 4x) - 2)) - 1))^2 + 4((-2((-3(1x^2 - 4x) + 1)/(-3(1x^2 - 4x) - 2)) + 2)/(2((-3(1x^2 - 4x) + 1)/(-3(1x^2 - 4x) - 2)) - 1)) - 5) + 1|, x = -0.8, and x = -0.7000000000000001. 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|(-1|(5(-2((-2(-3|x - 3| + 2) + 2)/(-1(-3|x - 3| + 2) - 1)) + 3) + 2)| - 3) + 1| + 1, g(x) = -2|(-1cos(1π(3|(2(-1x - 3)^2 + 5(-1x - 3) - 4) - 1|) - 1) - 1) - 3|, x = -0.3, and x = -0.19999999999999998. Round your answer to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = -1((-1(-2(-2((3(3x + 5) - 2)/(-1(3x + 5) - 3))^2 + 3((3(3x + 5) - 2)/(-1(3x + 5) - 3)) - 4)^2 + 4(-2((3(3x + 5) - 2)/(-1(3x + 5) - 3))^2 + 3((3(3x + 5) - 2)/(-1(3x + 5) - 3)) - 4) - 4) - 3)/(-1(-2(-2((3(3x + 5) - 2)/(-1(3x + 5) - 3))^2 + 3((3(3x + 5) - 2)/(-1(3x + 5) - 3)) - 4)^2 + 4(-2((3(3x + 5) - 2)/(-1(3x + 5) - 3))^2 + 3((3(3x + 5) - 2)/(-1(3x + 5) - 3)) - 4) - 4) + 3))^2 + 1 and g(x) = 3(3(1sin(1π(2|(3x^2 + 4x + 5) - 2| + 3) - 1) - 2) + 5) - 3 from x = 4.9 to x = 5.0. Round to 1 decimal place.

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

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[User]
Calculate the area enclosed between the functions f(x) = -4(-2|(3|((-2(3((1x + 1)/(3x))^2 - 2) + 1)/(-1(3((1x + 1)/(3x))^2 - 2))) - 1| - 2)| - 3)^2 + 5(-2|(3|((-2(3((1x + 1)/(3x))^2 - 2) + 1)/(-1(3((1x + 1)/(3x))^2 - 2))) - 1| - 2)| - 3) + 2 and g(x) = -1(-3(-1(2|(-2|x - 2| - 2) + 3| - 3)^2 - 2(2|(-2|x - 2| - 2) + 3| - 3) - 5) + 2) + 1 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) = 1|(-3cos(2π((-3(-1(-1|(3x) + 1| - 3) + 3) + 1)/(3(-1(-1|(3x) + 1| - 3) + 3) + 3))) + 2) + 2| + 2 and g(x) = (-3(-3sin(3π(2|(-5(4x^2 - 5x - 5) - 2) + 2| + 2)) - 3) - 1)/(-3(-3sin(3π(2|(-5(4x^2 - 5x - 5) - 2) + 2| + 2)) - 3) - 2) between the vertical lines x = 1.8 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) = (-2((-3(-1(-2(1|(2e^(2x) - 1)| - 2)^2 + 2(1|(2e^(2x) - 1)| - 2)) - 3) - 1)/(-2(-1(-2(1|(2e^(2x) - 1)| - 2)^2 + 2(1|(2e^(2x) - 1)| - 2)) - 3) - 1)))/(-1((-3(-1(-2(1|(2e^(2x) - 1)| - 2)^2 + 2(1|(2e^(2x) - 1)| - 2)) - 3) - 1)/(-2(-1(-2(1|(2e^(2x) - 1)| - 2)^2 + 2(1|(2e^(2x) - 1)| - 2)) - 3) - 1)) + 2), g(x) = (-2(2(2sin(1π((-2(4x + 5) - 3)/(-1(4x + 5) + 3)) + 3) + 2)^2 - 2(2sin(1π((-2(4x + 5) - 3)/(-1(4x + 5) + 3)) + 3) + 2) - 1) + 1)/(1(2(2sin(1π((-2(4x + 5) - 3)/(-1(4x + 5) + 3)) + 3) + 2)^2 - 2(2sin(1π((-2(4x + 5) - 3)/(-1(4x + 5) + 3)) + 3) + 2) - 1) - 3), x = -0.9, and x = -0.8. Round your answer to 1 decimal place.

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

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[User]
Find the area of the region bounded by the curves f(x) = (2((-3(-5(-1(3cos(1π((-1x - 2)/(3x + 3)) + 2)) - 1) + 5) + 3)/(2(-5(-1(3cos(1π((-1x - 2)/(3x + 3)) + 2)) - 1) + 5) + 3)) - 2)/(1((-3(-5(-1(3cos(1π((-1x - 2)/(3x + 3)) + 2)) - 1) + 5) + 3)/(2(-5(-1(3cos(1π((-1x - 2)/(3x + 3)) + 2)) - 1) + 5) + 3)) - 3), g(x) = (-2(-3(2(-3|(-3x^2 - 5x) - 2|)^2 + 3(-3|(-3x^2 - 5x) - 2|)) + 1))/(-2(-3(2(-3|(-3x^2 - 5x) - 2|)^2 + 3(-3|(-3x^2 - 5x) - 2|)) + 1) - 3), x = -1.1, and x = -1.0. Round your answer to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = 4(-1(-1sin(3π(4(-4((3x + 3)/(3x + 1)) - 3) + 3) - 1) - 1) - 1)^2 - 2(-1(-1sin(3π(4(-4((3x + 3)/(3x + 1)) - 3) + 3) - 1) - 1) - 1) - 4 and g(x) = -1|(1|(-2((-2(-4x^2 + 5x + 5) - 1)/(-1(-4x^2 + 5x + 5) - 1)) - 2) + 2| + 1) + 1| - 1 between the vertical lines x = -0.7 and x = -0.6. Round to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = 1(-1(1(5(1(4x + 4) + 1) - 1) + 5) - 2)^2 + 5(-1(1(5(1(4x + 4) + 1) - 1) + 5) - 2) + 2, g(x) = -1|(2|(-2sin(2π((1(2|x + 3| - 3) - 3)/(2(2|x + 3| - 3) - 1)) + 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(1(2e^(1(2(4(1x^2 + 2x - 1) - 4) - 1)) - 1)^2 + 3(2e^(1(2(4(1x^2 + 2x - 1) - 4) - 1)) - 1) - 4)^2 + 2(1(2e^(1(2(4(1x^2 + 2x - 1) - 4) - 1)) - 1)^2 + 3(2e^(1(2(4(1x^2 + 2x - 1) - 4) - 1)) - 1) - 4) + 1, g(x) = (1(5(4(-2(1x^2 + 5x + 1)^2 - 5(1x^2 + 5x + 1) - 1) + 1)^2 + 1(4(-2(1x^2 + 5x + 1)^2 - 5(1x^2 + 5x + 1) - 1) + 1) - 4) + 2)/(3(5(4(-2(1x^2 + 5x + 1)^2 - 5(1x^2 + 5x + 1) - 1) + 1)^2 + 1(4(-2(1x^2 + 5x + 1)^2 - 5(1x^2 + 5x + 1) - 1) + 1) - 4) - 2), x = -2.8, and x = -2.6999999999999997. 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|(-2sin(3π((1(-4(3|((1x + 3)/(1x - 3)) + 2| + 3) + 3) + 3)/(-2(-4(3|((1x + 3)/(1x - 3)) + 2| + 3) + 3) - 1)) + 1) - 3) + 2| + 1, g(x) = 5((-3(1cos(1π((-3(-4x^2 + 4x - 4))/(3(-4x^2 + 4x - 4))) - 3) + 3) - 3)/(-2(1cos(1π((-3(-4x^2 + 4x - 4))/(3(-4x^2 + 4x - 4))) - 3) + 3) - 3)) - 5, x = 0.8, 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) = (-1(3|(-1(2(2(1cos(2πx - 2))^2 - 3(1cos(2πx - 2)) - 3) - 1) + 5)|) - 3)/(-1(3|(-1(2(2(1cos(2πx - 2))^2 - 3(1cos(2πx - 2)) - 3) - 1) + 5)|) + 2), g(x) = 1(3(-3sin(2π(2|(-1x^2 - 4x - 3) + 2| - 2) + 2) - 2)^2 + 5(-3sin(2π(2|(-1x^2 - 4x - 3) + 2| - 2) + 2) - 2) - 2) + 5, x = 2.4, and x = 2.5. Round your answer to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = 2(1(-2|(-1(2(-5x - 1)^2 - 3(-5x - 1) + 5)) + 2| + 2) + 2) - 3 and g(x) = -1(3cos(3π(3(-1(-4x)^2 + 1(-4x) + 1)^2 - 5(-1(-4x)^2 + 1(-4x) + 1) + 2)) + 1) - 3 from x = -0.4 to 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) = -5((1((3((2(-3|(3e^(-1x) - 1) - 1| + 3) - 2)/(1(-3|(3e^(-1x) - 1) - 1| + 3))) + 3)/(2((2(-3|(3e^(-1x) - 1) - 1| + 3) - 2)/(1(-3|(3e^(-1x) - 1) - 1| + 3))) - 3)) + 2)/(3((3((2(-3|(3e^(-1x) - 1) - 1| + 3) - 2)/(1(-3|(3e^(-1x) - 1) - 1| + 3))) + 3)/(2((2(-3|(3e^(-1x) - 1) - 1| + 3) - 2)/(1(-3|(3e^(-1x) - 1) - 1| + 3))) - 3)) - 2)) - 2 and g(x) = (1(-1(-2|(-3e^(-2((1x - 3)/(1x))) + 2) - 3| + 2)^2 - 4) + 1)/(-3(-1(-2|(-3e^(-2((1x - 3)/(1x))) + 2) - 3| + 2)^2 - 4)) between the vertical lines x = 0.1 and x = 0.8. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = 2|(-3|((-2(3(-3(2sin(2πx + 3) + 2)^2 + 2(2sin(2πx + 3) + 2) + 4)^2 + 3(-3(2sin(2πx + 3) + 2)^2 + 2(2sin(2πx + 3) + 2) + 4) + 2) + 3)/(1(3(-3(2sin(2πx + 3) + 2)^2 + 2(2sin(2πx + 3) + 2) + 4)^2 + 3(-3(2sin(2πx + 3) + 2)^2 + 2(2sin(2πx + 3) + 2) + 4) + 2) + 3)) - 2| + 1) + 2| + 3 and g(x) = 1|(1|((-2((-2(1x^2 - 2) + 3)/(-1(1x^2 - 2) + 2)) + 3)/(-3((-2(1x^2 - 2) + 3)/(-1(1x^2 - 2) + 2)) - 3)) - 2| + 1)| - 2 from x = -1.9 to x = 1.9. 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|(2(-5x^2 - 5x + 4)^2 - 2(-5x^2 - 5x + 4)) + 3| - 3)| - 2) - 2)/(1(-3|(-2|(2(-5x^2 - 5x + 4)^2 - 2(-5x^2 - 5x + 4)) + 3| - 3)| - 2) + 2))^2 + 2((-2(-3|(-2|(2(-5x^2 - 5x + 4)^2 - 2(-5x^2 - 5x + 4)) + 3| - 3)| - 2) - 2)/(1(-3|(-2|(2(-5x^2 - 5x + 4)^2 - 2(-5x^2 - 5x + 4)) + 3| - 3)| - 2) + 2)) - 5 and g(x) = (2(3sin(1π((-3(-1|(-4x^2 + 4x + 3) - 3| + 3) - 1)/(-1(-1|(-4x^2 + 4x + 3) - 3| + 3) - 2)) + 3) - 1) + 2)/(-2(3sin(1π((-3(-1|(-4x^2 + 4x + 3) - 3| + 3) - 1)/(-1(-1|(-4x^2 + 4x + 3) - 3| + 3) - 2)) + 3) - 1) + 1) between the vertical lines x = 0.1 and x = 0.9. 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|(-5((3(1sin(2πx - 2) - 2) - 1)/(2(1sin(2πx - 2) - 2)))^2 - 4((3(1sin(2πx - 2) - 2) - 1)/(2(1sin(2πx - 2) - 2))) + 5) + 2| + 3) - 1| - 1) + 5, g(x) = 2|(2|(3|(-1(3|x + 2| + 3) + 1) + 3| + 2) - 2| - 1) - 3| + 1, x = -4.0, and x = -0.0. Round your answer to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = (1(-1sin(3π((-1(5(4((-1x)/(-1x)) - 4)^2 - 4(4((-1x)/(-1x)) - 4) + 5) + 3)/(3(5(4((-1x)/(-1x)) - 4)^2 - 4(4((-1x)/(-1x)) - 4) + 5) - 2))) - 1) - 3)/(-3(-1sin(3π((-1(5(4((-1x)/(-1x)) - 4)^2 - 4(4((-1x)/(-1x)) - 4) + 5) + 3)/(3(5(4((-1x)/(-1x)) - 4)^2 - 4(4((-1x)/(-1x)) - 4) + 5) - 2))) - 1) + 2) and g(x) = -5(3cos(3π(3(1(3x - 1) - 1)^2 + 2(1(3x - 1) - 1) - 5)) + 2) + 2 between the vertical lines x = 1.4 and x = 1.5. Round to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = 1(2|((1(4(-3(3|x + 1| - 2)^2 - 1(3|x + 1| - 2) - 1)^2 + 4(-3(3|x + 1| - 2)^2 - 1(3|x + 1| - 2) - 1)))/(3(4(-3(3|x + 1| - 2)^2 - 1(3|x + 1| - 2) - 1)^2 + 4(-3(3|x + 1| - 2)^2 - 1(3|x + 1| - 2) - 1)) + 3)) - 2| + 2) - 4 and g(x) = 3|(-3((-3((-1(-4x + 5) + 2)/(-2(-4x + 5) + 3)) + 3)/(1((-1(-4x + 5) + 2)/(-2(-4x + 5) + 3)))) - 1) + 1| between the vertical lines x = 1.0 and 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) = -5(-1((3(-2|(2(2x - 4)^2 + 1(2x - 4) + 4) + 2| - 2) + 3)/(1(-2|(2(2x - 4)^2 + 1(2x - 4) + 4) + 2| - 2)))^2 - 1) - 3 and g(x) = 1|(-1(-3|(-3|(-2cos(3πx + 1) - 2) - 2| + 1) + 3| + 1)^2 - 3(-3|(-3|(-2cos(3πx + 1) - 2) - 2| + 1) + 3| + 1) + 3) - 3| between the vertical lines x = 4.2 and x = 4.3. Round to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = -3((1(-1|((-2(-4(3|x - 1| - 2)^2 + 3(3|x - 1| - 2) - 4) - 3)/(-1(-4(3|x - 1| - 2)^2 + 3(3|x - 1| - 2) - 4) - 3)) + 3| + 3) - 1)/(1(-1|((-2(-4(3|x - 1| - 2)^2 + 3(3|x - 1| - 2) - 4) - 3)/(-1(-4(3|x - 1| - 2)^2 + 3(3|x - 1| - 2) - 4) - 3)) + 3| + 3) + 2)) + 3, g(x) = 3sin(1π(2(5((-2((1x + 2)/(1x + 3)) - 3)/(-3((1x + 2)/(1x + 3)) - 2)) + 2) + 1) - 2) - 2, x = 0.1, 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) = 2sin(3π(2|(2(-2(-5((-2x - 3)/(3x - 2)) + 2) - 3)^2 - 3(-2(-5((-2x - 3)/(3x - 2)) + 2) - 3) - 2) + 1| - 2) - 3) - 2 and g(x) = 1(-1e^(-1(-1((2(2x^2 - 1x - 4) - 2)/(1(2x^2 - 1x - 4) + 2))^2 - 2((2(2x^2 - 1x - 4) - 2)/(1(2x^2 - 1x - 4) + 2)) + 1)) + 3) + 4 between the vertical lines x = 2.3 and 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) = -5(-1(-1(-3|((2(5x + 5))/(1(5x + 5))) - 1| - 2) + 2)^2 - 5(-1(-3|((2(5x + 5))/(1(5x + 5))) - 1| - 2) + 2) - 4) - 5 and g(x) = -1(-1((3(-2((-3x - 1)/(1x))^2 + 1((-3x - 1)/(1x))) - 1)/(-1(-2((-3x - 1)/(1x))^2 + 1((-3x - 1)/(1x))) - 2))^2 + 4((3(-2((-3x - 1)/(1x))^2 + 1((-3x - 1)/(1x))) - 1)/(-1(-2((-3x - 1)/(1x))^2 + 1((-3x - 1)/(1x))) - 2)) + 1) + 4 between the vertical lines x = -0.4 and x = -0.2. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = -2((-1(-1|((-2(-3(2|x + 1| - 1)^2 - 3(2|x + 1| - 1) + 5) - 2)/(1(-3(2|x + 1| - 1)^2 - 3(2|x + 1| - 1) + 5) - 2)) + 2| - 2) - 2)/(2(-1|((-2(-3(2|x + 1| - 1)^2 - 3(2|x + 1| - 1) + 5) - 2)/(1(-3(2|x + 1| - 1)^2 - 3(2|x + 1| - 1) + 5) - 2)) + 2| - 2) - 1)) - 3 and g(x) = (2(-3cos(3π(-2(-1((3x - 3)/(-3x + 1))^2 + 4((3x - 3)/(-3x + 1)) - 5)^2 + 5(-1((3x - 3)/(-3x + 1))^2 + 4((3x - 3)/(-3x + 1)) - 5) - 5) + 3)) - 2)/(-3(-3cos(3π(-2(-1((3x - 3)/(-3x + 1))^2 + 4((3x - 3)/(-3x + 1)) - 5)^2 + 5(-1((3x - 3)/(-3x + 1))^2 + 4((3x - 3)/(-3x + 1)) - 5) - 5) + 3)) - 2) from x = 3.2 to x = 3.3. Round to 1 decimal place.

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

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[User]
Calculate the area enclosed between the functions f(x) = -1|(-2(-3sin(3π(1((-3(-1x^2 - 2) + 1)/(1(-1x^2 - 2))) - 2)) - 1) - 5) - 2| and g(x) = -2((3((-3((-1(-5x^2 + 2x - 2) + 2)/(3(-5x^2 + 2x - 2) + 1)) - 3)/(1((-1(-5x^2 + 2x - 2) + 2)/(3(-5x^2 + 2x - 2) + 1)) - 3)) - 3)/(2((-3((-1(-5x^2 + 2x - 2) + 2)/(3(-5x^2 + 2x - 2) + 1)) - 3)/(1((-1(-5x^2 + 2x - 2) + 2)/(3(-5x^2 + 2x - 2) + 1)) - 3)) - 1)) + 1 from x = -0.3 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(-1|(2cos(2π(2(2|(-1x^2 + 5x - 1) + 1| - 2)^2 + 1(2|(-1x^2 + 5x - 1) + 1| - 2) - 5) - 1) + 3) + 2| + 3) - 2)/(-2(-1|(2cos(2π(2(2|(-1x^2 + 5x - 1) + 1| - 2)^2 + 1(2|(-1x^2 + 5x - 1) + 1| - 2) - 5) - 1) + 3) + 2| + 3)) and g(x) = 5(-3((-3((1(1x - 5) + 3)/(-1(1x - 5) + 2)) + 2)/(2((1(1x - 5) + 3)/(-1(1x - 5) + 2)) - 1)) - 5)^2 - 3(-3((-3((1(1x - 5) + 3)/(-1(1x - 5) + 2)) + 2)/(2((1(1x - 5) + 3)/(-1(1x - 5) + 2)) - 1)) - 5) - 2 between the vertical lines x = -1.2 and x = -1.0999999999999999. Round to 1 decimal place.

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

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[User]
Find the area of the region bounded by the curves f(x) = 2((1(2((-2((-3(5x^2 + 2x - 1) - 3)/(1(5x^2 + 2x - 1))) + 2)/(1((-3(5x^2 + 2x - 1) - 3)/(1(5x^2 + 2x - 1))) + 3))^2 + 2((-2((-3(5x^2 + 2x - 1) - 3)/(1(5x^2 + 2x - 1))) + 2)/(1((-3(5x^2 + 2x - 1) - 3)/(1(5x^2 + 2x - 1))) + 3)) - 2) - 2)/(-1(2((-2((-3(5x^2 + 2x - 1) - 3)/(1(5x^2 + 2x - 1))) + 2)/(1((-3(5x^2 + 2x - 1) - 3)/(1(5x^2 + 2x - 1))) + 3))^2 + 2((-2((-3(5x^2 + 2x - 1) - 3)/(1(5x^2 + 2x - 1))) + 2)/(1((-3(5x^2 + 2x - 1) - 3)/(1(5x^2 + 2x - 1))) + 3)) - 2) + 2))^2 + 2((1(2((-2((-3(5x^2 + 2x - 1) - 3)/(1(5x^2 + 2x - 1))) + 2)/(1((-3(5x^2 + 2x - 1) - 3)/(1(5x^2 + 2x - 1))) + 3))^2 + 2((-2((-3(5x^2 + 2x - 1) - 3)/(1(5x^2 + 2x - 1))) + 2)/(1((-3(5x^2 + 2x - 1) - 3)/(1(5x^2 + 2x - 1))) + 3)) - 2) - 2)/(-1(2((-2((-3(5x^2 + 2x - 1) - 3)/(1(5x^2 + 2x - 1))) + 2)/(1((-3(5x^2 + 2x - 1) - 3)/(1(5x^2 + 2x - 1))) + 3))^2 + 2((-2((-3(5x^2 + 2x - 1) - 3)/(1(5x^2 + 2x - 1))) + 2)/(1((-3(5x^2 + 2x - 1) - 3)/(1(5x^2 + 2x - 1))) + 3)) - 2) + 2)), g(x) = 3sin(2π(2|(-1|(3(-3|x - 1|)^2 - 4(-3|x - 1|) + 5)| - 3) - 1| + 2) - 3), x = -0.0, 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) = -3(1(3(-1sin(2π(-1(1|x + 3| - 2) + 5) + 2) + 2) - 3)^2 + 5(3(-1sin(2π(-1(1|x + 3| - 2) + 5) + 2) + 2) - 3) - 2) + 3 and g(x) = 4(3sin(3π(-2|((-3((-2x - 3)/(2x - 3)))/(1((-2x - 3)/(2x - 3)) - 3)) + 3| + 2) - 3) + 2)^2 + 5(3sin(3π(-2|((-3((-2x - 3)/(2x - 3)))/(1((-2x - 3)/(2x - 3)) - 3)) + 3| + 2) - 3) + 2) - 1 from x = 1.0 to x = 1.1. Round to 1 decimal place.

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

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[User]
Find the area of the region bounded by the curves f(x) = (2(5((2(-4(-1|((-1x - 2)/(-1x - 2)) - 3|)^2 - 2(-1|((-1x - 2)/(-1x - 2)) - 3|) + 2) + 3)/(1(-4(-1|((-1x - 2)/(-1x - 2)) - 3|)^2 - 2(-1|((-1x - 2)/(-1x - 2)) - 3|) + 2) - 3))^2 - 4) - 3)/(-2(5((2(-4(-1|((-1x - 2)/(-1x - 2)) - 3|)^2 - 2(-1|((-1x - 2)/(-1x - 2)) - 3|) + 2) + 3)/(1(-4(-1|((-1x - 2)/(-1x - 2)) - 3|)^2 - 2(-1|((-1x - 2)/(-1x - 2)) - 3|) + 2) - 3))^2 - 4) - 1), g(x) = 3(-2((2((-2((-3x - 1)/(2x + 2)) + 2)/(-1((-3x - 1)/(2x + 2)) - 2)) - 1)/(1((-2((-3x - 1)/(2x + 2)) + 2)/(-1((-3x - 1)/(2x + 2)) - 2)) + 1))^2 - 4((2((-2((-3x - 1)/(2x + 2)) + 2)/(-1((-3x - 1)/(2x + 2)) - 2)) - 1)/(1((-2((-3x - 1)/(2x + 2)) + 2)/(-1((-3x - 1)/(2x + 2)) - 2)) + 1)) + 2)^2 - 5(-2((2((-2((-3x - 1)/(2x + 2)) + 2)/(-1((-3x - 1)/(2x + 2)) - 2)) - 1)/(1((-2((-3x - 1)/(2x + 2)) + 2)/(-1((-3x - 1)/(2x + 2)) - 2)) + 1))^2 - 4((2((-2((-3x - 1)/(2x + 2)) + 2)/(-1((-3x - 1)/(2x + 2)) - 2)) - 1)/(1((-2((-3x - 1)/(2x + 2)) + 2)/(-1((-3x - 1)/(2x + 2)) - 2)) + 1)) + 2) - 5, x = -0.8, and x = -0.7. Round your answer to 1 decimal place.

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

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

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

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[User]
Calculate the area enclosed between the functions f(x) = -5(3sin(2π((-2(2|(-2|(1|x - 2| - 3) + 1| - 1) - 1| + 3) + 2)/(-2(2|(-2|(1|x - 2| - 3) + 1| - 1) - 1| + 3) + 3)) + 2) - 2)^2 + 5(3sin(2π((-2(2|(-2|(1|x - 2| - 3) + 1| - 1) - 1| + 3) + 2)/(-2(2|(-2|(1|x - 2| - 3) + 1| - 1) - 1| + 3) + 3)) + 2) - 2) - 4 and g(x) = 1(-1|(1(-2|(4x - 1)|)^2 - 2(-2|(4x - 1)|) + 2) + 1| - 3) + 3 from x = 0.1 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((-3(5(-5(2|(-4x) + 3| + 2)^2 + 4(2|(-4x) + 3| + 2) - 3)^2 - 4(-5(2|(-4x) + 3| + 2)^2 + 4(2|(-4x) + 3| + 2) - 3) - 4) - 3)/(1(5(-5(2|(-4x) + 3| + 2)^2 + 4(2|(-4x) + 3| + 2) - 3)^2 - 4(-5(2|(-4x) + 3| + 2)^2 + 4(2|(-4x) + 3| + 2) - 3) - 4) - 2)) + 1)/(-2((-3(5(-5(2|(-4x) + 3| + 2)^2 + 4(2|(-4x) + 3| + 2) - 3)^2 - 4(-5(2|(-4x) + 3| + 2)^2 + 4(2|(-4x) + 3| + 2) - 3) - 4) - 3)/(1(5(-5(2|(-4x) + 3| + 2)^2 + 4(2|(-4x) + 3| + 2) - 3)^2 - 4(-5(2|(-4x) + 3| + 2)^2 + 4(2|(-4x) + 3| + 2) - 3) - 4) - 2)) + 1) and g(x) = -5(2((-2((-2(2x^2 - 4x - 1) + 3)/(-1(2x^2 - 4x - 1) - 1)) + 2)/(1((-2(2x^2 - 4x - 1) + 3)/(-1(2x^2 - 4x - 1) - 1)))) + 1) + 3 between the vertical lines x = -0.9 and x = 2.9. Round to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = 4(1sin(2π((-2(4(4(2x + 4)^2 + 1(2x + 4) - 1) - 4) - 1)/(-1(4(4(2x + 4)^2 + 1(2x + 4) - 1) - 4) + 2)) + 2) + 1)^2 + 3(1sin(2π((-2(4(4(2x + 4)^2 + 1(2x + 4) - 1) - 4) - 1)/(-1(4(4(2x + 4)^2 + 1(2x + 4) - 1) - 4) + 2)) + 2) + 1) - 3 and g(x) = (3(-5(4(-3(1x - 2)^2 + 4(1x - 2) - 2) + 4)^2 + 4) + 1)/(-3(-5(4(-3(1x - 2)^2 + 4(1x - 2) - 2) + 4)^2 + 4) - 2) between the vertical lines x = -2.5 and x = -2.4. Round to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = (-3(3(-1(-1(-2cos(2π((2x + 3)/(1x - 2)) - 2) - 2)^2 - 3(-2cos(2π((2x + 3)/(1x - 2)) - 2) - 2) - 5)^2 - 4(-1(-2cos(2π((2x + 3)/(1x - 2)) - 2) - 2)^2 - 3(-2cos(2π((2x + 3)/(1x - 2)) - 2) - 2) - 5) + 2)^2 + 3(-1(-1(-2cos(2π((2x + 3)/(1x - 2)) - 2) - 2)^2 - 3(-2cos(2π((2x + 3)/(1x - 2)) - 2) - 2) - 5)^2 - 4(-1(-2cos(2π((2x + 3)/(1x - 2)) - 2) - 2)^2 - 3(-2cos(2π((2x + 3)/(1x - 2)) - 2) - 2) - 5) + 2) - 4) - 1)/(2(3(-1(-1(-2cos(2π((2x + 3)/(1x - 2)) - 2) - 2)^2 - 3(-2cos(2π((2x + 3)/(1x - 2)) - 2) - 2) - 5)^2 - 4(-1(-2cos(2π((2x + 3)/(1x - 2)) - 2) - 2)^2 - 3(-2cos(2π((2x + 3)/(1x - 2)) - 2) - 2) - 5) + 2)^2 + 3(-1(-1(-2cos(2π((2x + 3)/(1x - 2)) - 2) - 2)^2 - 3(-2cos(2π((2x + 3)/(1x - 2)) - 2) - 2) - 5)^2 - 4(-1(-2cos(2π((2x + 3)/(1x - 2)) - 2) - 2)^2 - 3(-2cos(2π((2x + 3)/(1x - 2)) - 2) - 2) - 5) + 2) - 4) - 1), g(x) = 2(-1(1|((-1(5x^2 + 4x - 1) + 1)/(1(5x^2 + 4x - 1))) - 2| + 3))^2 + 3(-1(1|((-1(5x^2 + 4x - 1) + 1)/(1(5x^2 + 4x - 1))) - 2| + 3)) + 2, x = -3.5, and x = -1.1. Round your answer to 1 decimal place.

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

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[User]
Find the area of the region bounded by the curves f(x) = 1(-3(4((2(-1((2x - 2)/(-1x + 2))^2 + 5((2x - 2)/(-1x + 2)) - 4) + 2)/(-1(-1((2x - 2)/(-1x + 2))^2 + 5((2x - 2)/(-1x + 2)) - 4) - 2))^2 + 4((2(-1((2x - 2)/(-1x + 2))^2 + 5((2x - 2)/(-1x + 2)) - 4) + 2)/(-1(-1((2x - 2)/(-1x + 2))^2 + 5((2x - 2)/(-1x + 2)) - 4) - 2)) + 2)^2 + 4(4((2(-1((2x - 2)/(-1x + 2))^2 + 5((2x - 2)/(-1x + 2)) - 4) + 2)/(-1(-1((2x - 2)/(-1x + 2))^2 + 5((2x - 2)/(-1x + 2)) - 4) - 2))^2 + 4((2(-1((2x - 2)/(-1x + 2))^2 + 5((2x - 2)/(-1x + 2)) - 4) + 2)/(-1(-1((2x - 2)/(-1x + 2))^2 + 5((2x - 2)/(-1x + 2)) - 4) - 2)) + 2) - 2) + 2, g(x) = -1|((2(5((-1(5x^2 + 2x - 4) - 3)/(2(5x^2 + 2x - 4) + 2))^2 + 2((-1(5x^2 + 2x - 4) - 3)/(2(5x^2 + 2x - 4) + 2)) + 4) - 3)/(-1(5((-1(5x^2 + 2x - 4) - 3)/(2(5x^2 + 2x - 4) + 2))^2 + 2((-1(5x^2 + 2x - 4) - 3)/(2(5x^2 + 2x - 4) + 2)) + 4) + 3)) - 1|, x = 1.3, and x = 1.4000000000000001. Round your answer to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = (1(3|((3(2e^(2(-3((-3x)/(-3x - 3)) + 4)) - 2) - 3)/(2(2e^(2(-3((-3x)/(-3x - 3)) + 4)) - 2))) - 2|) - 1)/(1(3|((3(2e^(2(-3((-3x)/(-3x - 3)) + 4)) - 2) - 3)/(2(2e^(2(-3((-3x)/(-3x - 3)) + 4)) - 2))) - 2|) + 2) and g(x) = (3(-1((2(-2(-3|x - 3|)) - 3)/(1(-2(-3|x - 3|)) - 3)) - 4) - 1)/(-2(-1((2(-2(-3|x - 3|)) - 3)/(1(-2(-3|x - 3|)) - 3)) - 4)) between the vertical lines x = 2.6 and 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) = -2sin(1π(1(-2|(1(-2|(2x + 4) + 1|)^2 - 1(-2|(2x + 4) + 1|) - 4) + 2| - 3))) - 2, g(x) = -2|(-1((-3(3(-1e^(-2x) - 2)^2 + 3(-1e^(-2x) - 2) + 2) - 2)/(-3(3(-1e^(-2x) - 2)^2 + 3(-1e^(-2x) - 2) + 2) + 4))^2 + 5((-3(3(-1e^(-2x) - 2)^2 + 3(-1e^(-2x) - 2) + 2) - 2)/(-3(3(-1e^(-2x) - 2)^2 + 3(-1e^(-2x) - 2) + 2) + 4)) - 2) - 1| + 2, x = 4.5, and x = 4.6. Round your answer to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = -2|(1sin(3π(4(-1|(2|((-1x + 3)/(1x + 2)) - 1| - 1) + 3|) + 2) - 2) - 2) + 3| + 3, g(x) = -2(-3(-1((2((1x - 2)/(2x - 1)) + 1)/(-3((1x - 2)/(2x - 1)))) + 5)^2 - 5(-1((2((1x - 2)/(2x - 1)) + 1)/(-3((1x - 2)/(2x - 1)))) + 5) - 1) - 2, x = 1.8, and x = 1.9. 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) = -2(-3|(-1cos(2π((2(2|(1|x| - 2) + 1| - 1) + 2)/(-1(2|(1|x| - 2) + 1| - 1) - 2)) + 1) + 1) + 1| - 1) - 5 and g(x) = (1(1|(-1|(3cos(2π(3|x - 3|))) + 2| + 3) + 3| - 1) + 2)/(2(1|(-1|(3cos(2π(3|x - 3|))) + 2| + 3) + 3| - 1) - 1) between the vertical lines x = -1.3 and x = -1.0. Round to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = -1|(-1cos(3π((-2(-5(-5(-2|x + 2| - 1)^2 + 1(-2|x + 2| - 1) + 1) + 2) + 1)/(3(-5(-5(-2|x + 2| - 1)^2 + 1(-2|x + 2| - 1) + 1) + 2))) + 3)) + 1| + 2 and g(x) = -1e^(-2((-1(-3|(-4(1|x| - 1)^2 + 5(1|x| - 1)) - 2| + 2) - 2)/(-1(-3|(-4(1|x| - 1)^2 + 5(1|x| - 1)) - 2| + 2) + 3))) + 1 between the vertical lines x = -2.1 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((-2(-2(3(-1|(2|x + 3| + 3) - 1| - 1) - 3)^2 + 3(3(-1|(2|x + 3| + 3) - 1| - 1) - 3) + 5) - 1)/(3(-2(3(-1|(2|x + 3| + 3) - 1| - 1) - 3)^2 + 3(3(-1|(2|x + 3| + 3) - 1| - 1) - 3) + 5) - 2))^2 + 3((-2(-2(3(-1|(2|x + 3| + 3) - 1| - 1) - 3)^2 + 3(3(-1|(2|x + 3| + 3) - 1| - 1) - 3) + 5) - 1)/(3(-2(3(-1|(2|x + 3| + 3) - 1| - 1) - 3)^2 + 3(3(-1|(2|x + 3| + 3) - 1| - 1) - 3) + 5) - 2)) - 2 and g(x) = 3((3(-2|(-2((3x - 1)/(1x - 2))^2 + 4((3x - 1)/(1x - 2)) + 4) + 1| + 1) - 2)/(3(-2|(-2((3x - 1)/(1x - 2))^2 + 4((3x - 1)/(1x - 2)) + 4) + 1| + 1) - 1)) + 3 between the vertical lines x = 0.7 and x = 0.7999999999999999. Round to 1 decimal place.

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

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[User]
Determine the area of the region enclosed by the graphs of f(x) = 1|(1(-2(-3|(-1(1|x - 3| + 1)^2 - 1(1|x - 3| + 1) + 4) - 1| + 2) + 5)^2 - 3(-2(-3|(-1(1|x - 3| + 1)^2 - 1(1|x - 3| + 1) + 4) - 1| + 2) + 5) - 3) + 1| - 1 and g(x) = (-1((-2((-1(2cos(2π(2x - 2) + 3) - 2) + 2)/(-1(2cos(2π(2x - 2) + 3) - 2) - 2)) - 1)/(-1((-1(2cos(2π(2x - 2) + 3) - 2) + 2)/(-1(2cos(2π(2x - 2) + 3) - 2) - 2)) - 1)))/(3((-2((-1(2cos(2π(2x - 2) + 3) - 2) + 2)/(-1(2cos(2π(2x - 2) + 3) - 2) - 2)) - 1)/(-1((-1(2cos(2π(2x - 2) + 3) - 2) + 2)/(-1(2cos(2π(2x - 2) + 3) - 2) - 2)) - 1)) + 2) between the vertical lines x = 2.6 and x = 2.7. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = -4(-1sin(2π(-2|(-1(-3(3x - 5) + 3) - 1)| - 1) - 1) + 1) - 3 and g(x) = 3(2(-1(3(-4x + 3) - 5)^2 + 2(3(-4x + 3) - 5) - 4) + 5) + 1 from x = 0.2 to 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) = -1(3|((-1(-4(1|(5x^2 - 3)| - 1)^2 + 3) + 3)/(-3(-4(1|(5x^2 - 3)| - 1)^2 + 3) + 2)) - 1| - 1)^2 + 5(3|((-1(-4(1|(5x^2 - 3)| - 1)^2 + 3) + 3)/(-3(-4(1|(5x^2 - 3)| - 1)^2 + 3) + 2)) - 1| - 1) and g(x) = (1(-3cos(1π(2(1|(-1|x + 2| - 3) + 3| + 2)^2 - 4(1|(-1|x + 2| - 3) + 3| + 2) - 2) - 3) + 3) - 1)/(-1(-3cos(1π(2(1|(-1|x + 2| - 3) + 3| + 2)^2 - 4(1|(-1|x + 2| - 3) + 3| + 2) - 2) - 3) + 3)) between the vertical lines x = 4.2 and x = 4.3. Round to 1 decimal place.

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


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

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[User]
Calculate the area enclosed between the functions f(x) = 2(-1(5(4((3(-2x^2 + 4x - 1) + 2)/(1(-2x^2 + 4x - 1) + 2))^2 + 1((3(-2x^2 + 4x - 1) + 2)/(1(-2x^2 + 4x - 1) + 2)) - 5)^2 + 3(4((3(-2x^2 + 4x - 1) + 2)/(1(-2x^2 + 4x - 1) + 2))^2 + 1((3(-2x^2 + 4x - 1) + 2)/(1(-2x^2 + 4x - 1) + 2)) - 5) + 4) + 3) + 2 and g(x) = -1(2|(-1(-5(-3sin(2πx - 3) + 1)^2 - 4(-3sin(2πx - 3) + 1) + 1)^2 + 3(-5(-3sin(2πx - 3) + 1)^2 - 4(-3sin(2πx - 3) + 1) + 1) + 2)| - 3) + 2 from x = -2.8 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) = -2(-1|(3|((-3(-5(-5x + 2) - 2) - 3)/(2(-5(-5x + 2) - 2) + 3)) - 2| - 1) - 1| + 3) - 5 and g(x) = 3e^(-1((-2(-2(1(-3x^2 + 1x - 2)^2 - 1(-3x^2 + 1x - 2) - 1)^2 - 2(1(-3x^2 + 1x - 2)^2 - 1(-3x^2 + 1x - 2) - 1) + 1) - 3)/(-3(-2(1(-3x^2 + 1x - 2)^2 - 1(-3x^2 + 1x - 2) - 1)^2 - 2(1(-3x^2 + 1x - 2)^2 - 1(-3x^2 + 1x - 2) - 1) + 1) + 1))) - 1 between the vertical lines x = 0.4 and x = 0.5. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = -3(3(-1|(-1(2(-3|x + 2| + 1) - 3) + 2) + 1| + 1) + 4) - 5 and g(x) = (-1(-3|(-1|(-1|(-2x - 3) + 3|) + 2|) + 1| + 1) - 1)/(1(-3|(-1|(-1|(-2x - 3) + 3|) + 2|) + 1| + 1)) from x = -1.3 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|(2(3|((3(-2|(3e^(2x) + 1)| + 3) + 3)/(3(-2|(3e^(2x) + 1)| + 3))) + 3| + 3) - 5) - 3| + 2 and g(x) = -3|(-4(3sin(2π(1(-1x^2 + 5x + 2)^2 + 3(-1x^2 + 5x + 2)) - 1) + 3) + 5) - 3| + 2 between the vertical lines x = -4.7 and x = -4.6000000000000005. Round to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = (1(-3((-2(1|(-1sin(1π((1x - 1)/(1x + 2)) + 3) + 1) + 1| - 1) - 1)/(1(1|(-1sin(1π((1x - 1)/(1x + 2)) + 3) + 1) + 1| - 1)))^2 + 2((-2(1|(-1sin(1π((1x - 1)/(1x + 2)) + 3) + 1) + 1| - 1) - 1)/(1(1|(-1sin(1π((1x - 1)/(1x + 2)) + 3) + 1) + 1| - 1)))) - 3)/(2(-3((-2(1|(-1sin(1π((1x - 1)/(1x + 2)) + 3) + 1) + 1| - 1) - 1)/(1(1|(-1sin(1π((1x - 1)/(1x + 2)) + 3) + 1) + 1| - 1)))^2 + 2((-2(1|(-1sin(1π((1x - 1)/(1x + 2)) + 3) + 1) + 1| - 1) - 1)/(1(1|(-1sin(1π((1x - 1)/(1x + 2)) + 3) + 1) + 1| - 1)))) - 1), g(x) = 3(2sin(1π(1((1(3x + 3))/(-1(3x + 3) + 3))^2 + 1((1(3x + 3))/(-1(3x + 3) + 3)) - 2) + 3) - 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) = 2(1|(1(2|(-3|((-3x - 3)/(3x - 2)) - 1| + 2)| - 1) + 2) - 2| + 1)^2 - 1(1|(1(2|(-3|((-3x - 3)/(3x - 2)) - 1| + 2)| - 1) + 2) - 2| + 1) - 3 and g(x) = -1|((-3(1cos(3π(2|(-2x^2 - 1x + 3) - 3| + 2)) + 1) - 3)/(1(1cos(3π(2|(-2x^2 - 1x + 3) - 3| + 2)) + 1))) + 3| + 1 between the vertical lines x = -0.8 and x = -0.7. Round to 1 decimal place.

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

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

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

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[User]
Calculate the area enclosed between the functions f(x) = 3((-3(3|(-2(1((1x + 3)/(-1x))^2 - 5((1x + 3)/(-1x)) + 4)^2 + 4(1((1x + 3)/(-1x))^2 - 5((1x + 3)/(-1x)) + 4) + 3) - 3| + 3) - 2)/(-1(3|(-2(1((1x + 3)/(-1x))^2 - 5((1x + 3)/(-1x)) + 4)^2 + 4(1((1x + 3)/(-1x))^2 - 5((1x + 3)/(-1x)) + 4) + 3) - 3| + 3) + 2)) and g(x) = (-2(-3(-2sin(2π((3(-1x^2 + 2x + 2) - 3)/(-1(-1x^2 + 2x + 2) - 3)) - 2) - 2)^2 - 3(-2sin(2π((3(-1x^2 + 2x + 2) - 3)/(-1(-1x^2 + 2x + 2) - 3)) - 2) - 2) - 1) - 3)/(2(-3(-2sin(2π((3(-1x^2 + 2x + 2) - 3)/(-1(-1x^2 + 2x + 2) - 3)) - 2) - 2)^2 - 3(-2sin(2π((3(-1x^2 + 2x + 2) - 3)/(-1(-1x^2 + 2x + 2) - 3)) - 2) - 2) - 1) + 1) from x = 0.4 to x = 0.9. Round to 1 decimal place.

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

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[User]
Find the area of the region bounded by the curves f(x) = 3(1(-4(-3(-1e^(2(5x^2 - 4x + 1)) + 3) + 1) - 5)^2 + 1(-4(-3(-1e^(2(5x^2 - 4x + 1)) + 3) + 1) - 5) - 3) - 2, g(x) = 5((-1((-2(5(1cos(3πx - 1) + 2) - 5) + 3)/(1(5(1cos(3πx - 1) + 2) - 5) - 2)) - 2)/(1((-2(5(1cos(3πx - 1) + 2) - 5) + 3)/(1(5(1cos(3πx - 1) + 2) - 5) - 2)) - 2))^2 + 5((-1((-2(5(1cos(3πx - 1) + 2) - 5) + 3)/(1(5(1cos(3πx - 1) + 2) - 5) - 2)) - 2)/(1((-2(5(1cos(3πx - 1) + 2) - 5) + 3)/(1(5(1cos(3πx - 1) + 2) - 5) - 2)) - 2)) - 3, x = 0.4, and x = 0.5. Round your answer to 1 decimal place.

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

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[User]
Determine the area of the region enclosed by the graphs of f(x) = 3(1|(-3(1(-2|(-2x^2 + 2x - 2) + 3| + 3)^2 - 4(-2|(-2x^2 + 2x - 2) + 3| + 3) + 1)^2 - 4(1(-2|(-2x^2 + 2x - 2) + 3| + 3)^2 - 4(-2|(-2x^2 + 2x - 2) + 3| + 3) + 1) + 1) - 1| + 2) - 2 and g(x) = 4(-2e^(-2(2|(-5(-2x^2 - 4x + 2)^2 - 2(-2x^2 - 4x + 2) - 1) + 1| + 2)) - 2)^2 + 1(-2e^(-2(2|(-5(-2x^2 - 4x + 2)^2 - 2(-2x^2 - 4x + 2) - 1) + 1| + 2)) - 2) - 4 between the vertical lines x = 0.3 and x = 0.7. Round to 1 decimal place.

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