[User]
Find the area of the region bounded by the curves f(x) = 2(3(-2|(-1e^(2((1(-2|x - 3| - 3) + 2)/(1(-2|x - 3| - 3)))) - 1) + 2| + 1) + 5) + 1, g(x) = 3((3((3(-4(-3cos(1πx - 2) - 1) - 5) - 1)/(3(-4(-3cos(1πx - 2) - 1) - 5) + 1)) + 1)/(-2((3(-4(-3cos(1πx - 2) - 1) - 5) - 1)/(3(-4(-3cos(1πx - 2) - 1) - 5) + 1)) + 3)) + 2, x = -4.9, 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) = 2sin(1π(4(1(-2|(-2(-3|x - 1| + 2)^2 + 4(-3|x - 1| + 2)) + 3| - 3) + 5)^2 + 5) - 1) + 3, g(x) = -2|((3(-4(-2sin(3π((3x + 3)/(1x + 1)) + 3))^2 - 2(-2sin(3π((3x + 3)/(1x + 1)) + 3)) + 2) + 3)/(2(-4(-2sin(3π((3x + 3)/(1x + 1)) + 3))^2 - 2(-2sin(3π((3x + 3)/(1x + 1)) + 3)) + 2) + 3)) - 2| + 3, x = 2.1, and x = 2.2. Round your answer to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = -3|(1(2e^(-1(5(5(-4x - 1)^2 + 1(-4x - 1))^2 - 5(5(-4x - 1)^2 + 1(-4x - 1)) + 5)) + 1)^2 - 5(2e^(-1(5(5(-4x - 1)^2 + 1(-4x - 1))^2 - 5(5(-4x - 1)^2 + 1(-4x - 1)) + 5)) + 1) - 4) - 1| - 2, g(x) = -3|(-5(-2((-3(3x^2 + 4x + 3) + 2)/(2(3x^2 + 4x + 3) + 3))^2 + 2((-3(3x^2 + 4x + 3) + 2)/(2(3x^2 + 4x + 3) + 3)) + 3) - 4) + 3| - 1, x = -2.2, and x = 0.8. Round your answer to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = (-1(-3|(5((3(2|(5x^2 - 3x) + 2| - 3) + 2)/(-3(2|(5x^2 - 3x) + 2| - 3) + 1))^2 - 4) + 3| + 1) - 1)/(2(-3|(5((3(2|(5x^2 - 3x) + 2| - 3) + 2)/(-3(2|(5x^2 - 3x) + 2| - 3) + 1))^2 - 4) + 3| + 1) + 2) and g(x) = (1(-5(-2cos(3π(-1|(-1|x + 1| - 3) - 3|) + 3) - 3)^2 - 5(-2cos(3π(-1|(-1|x + 1| - 3) - 3|) + 3) - 3) + 3) + 1)/(2(-5(-2cos(3π(-1|(-1|x + 1| - 3) - 3|) + 3) - 3)^2 - 5(-2cos(3π(-1|(-1|x + 1| - 3) - 3|) + 3) - 3) + 3) + 1) from x = 1.7 to x = 2.2. Round to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = -1(3|((3(-3(-1(3cos(2πx + 2) - 3)^2 - 1(3cos(2πx + 2) - 3) + 1)^2 - 1(-1(3cos(2πx + 2) - 3)^2 - 1(3cos(2πx + 2) - 3) + 1) - 5) + 3)/(-1(-3(-1(3cos(2πx + 2) - 3)^2 - 1(3cos(2πx + 2) - 3) + 1)^2 - 1(-1(3cos(2πx + 2) - 3)^2 - 1(3cos(2πx + 2) - 3) + 1) - 5) + 2)) - 3| + 2) - 4, g(x) = (3(-5(-2|((-3(-1x^2 - 4x + 2) - 3)/(-3(-1x^2 - 4x + 2) - 2))| + 1) - 1))/(-1(-5(-2|((-3(-1x^2 - 4x + 2) - 3)/(-3(-1x^2 - 4x + 2) - 2))| + 1) - 1) + 3), x = 0.6, 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) = (2((1(5(-2|(-1|(1|x - 2| - 1)| - 3) + 2| - 2)) - 3)/(2(5(-2|(-1|(1|x - 2| - 1)| - 3) + 2| - 2)) + 1)))/(-2((1(5(-2|(-1|(1|x - 2| - 1)| - 3) + 2| - 2)) - 3)/(2(5(-2|(-1|(1|x - 2| - 1)| - 3) + 2| - 2)) + 1)) - 1) and g(x) = -2sin(1π(5(2|((2(1x^2 - 3x))/(1(1x^2 - 3x) - 3)) + 1| - 2)^2 + 4(2|((2(1x^2 - 3x))/(1(1x^2 - 3x) - 3)) + 1| - 2) + 5) - 1) + 1 between the vertical lines x = -2.5 and x = -2.4. Round to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = (3(5((-1(-4(-2|(-1|x - 3| + 2)| + 2) - 3) - 3)/(-1(-4(-2|(-1|x - 3| + 2)| + 2) - 3) - 2)) + 5) + 2)/(-2(5((-1(-4(-2|(-1|x - 3| + 2)| + 2) - 3) - 3)/(-1(-4(-2|(-1|x - 3| + 2)| + 2) - 3) - 2)) + 5) + 1) and g(x) = -5(-2sin(3π((1(-4(-4x - 3)^2 + 5(-4x - 3) + 5) - 2)/(3(-4(-4x - 3)^2 + 5(-4x - 3) + 5) + 3))) - 2) - 5 from x = 2.1 to x = 3.9. 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(-4(-1(1(-1sin(2πx + 2)) + 5) + 5) - 5) + 4) + 1| - 1 and g(x) = 1|(-2(-4(1|(2sin(1πx - 2)) - 1| - 1) - 2)^2 - 5(-4(1|(2sin(1πx - 2)) - 1| - 1) - 2) + 4) - 3| - 1 from x = 2.6 to x = 3.3. Round to 1 decimal place.

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


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

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


[User]
Find the area of the region bounded by the curves f(x) = 2|(-5((2(3|(5(2cos(3πx - 2)) - 2)| + 1) + 2)/(-3(3|(5(2cos(3πx - 2)) - 2)| + 1) + 2))^2 + 3((2(3|(5(2cos(3πx - 2)) - 2)| + 1) + 2)/(-3(3|(5(2cos(3πx - 2)) - 2)| + 1) + 2)) + 4)| - 2, g(x) = (-1(2|(-3|(-1sin(1π((2x - 1)/(2x + 3)) - 2) - 1) - 1| + 2)| - 3) - 1)/(-1(2|(-3|(-1sin(1π((2x - 1)/(2x + 3)) - 2) - 1) - 1| + 2)| - 3) + 3), x = -4.6, and x = -4.3. Round your answer to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = -2(3(-2(4(2sin(2π(2x - 3) + 2) - 1) + 1) - 4)^2 + 3(-2(4(2sin(2π(2x - 3) + 2) - 1) + 1) - 4)) - 1 and g(x) = (-3(-2sin(1π(3|(3(-4x)) + 2|) - 2) - 3))/(2(-2sin(1π(3|(3(-4x)) + 2|) - 2) - 3) + 3) between the vertical lines x = 3.1 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) = -2|(-3(2|(-4(-2|(-5x^2 - 1) + 3| + 2)^2 - 4(-2|(-5x^2 - 1) + 3| + 2) + 3) - 3| + 1) + 2)| - 2 and g(x) = -2|(2|(3((2(-1x + 4) + 2)/(-1(-1x + 4) - 3))^2 - 4((2(-1x + 4) + 2)/(-1(-1x + 4) - 3)) + 3) - 3| - 2) - 2| - 1 between the vertical lines x = 0.7 and x = 0.9. Round to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = -1|(-2cos(1π(-2(2|(-3|(-1|x| + 2) + 2| - 2) - 2| - 3) - 2)) + 1) + 3| + 1 and g(x) = -3|((-2(2|((-1(1|x - 3| - 1) - 1)/(-3(1|x - 3| - 1))) - 1| - 2) + 3)/(3(2|((-1(1|x - 3| - 1) - 1)/(-3(1|x - 3| - 1))) - 1| - 2) + 3)) + 3| + 2 between the vertical lines x = 4.8 and x = 4.9. Round to 1 decimal place.

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


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

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


[User]
Calculate the area enclosed between the functions f(x) = (-3((-2(-4((1(2sin(3π(-2x^2 + 4x + 4) - 2) + 2) - 1)/(3(2sin(3π(-2x^2 + 4x + 4) - 2) + 2) + 1)) - 1))/(-2(-4((1(2sin(3π(-2x^2 + 4x + 4) - 2) + 2) - 1)/(3(2sin(3π(-2x^2 + 4x + 4) - 2) + 2) + 1)) - 1) - 1)) - 2)/(-2((-2(-4((1(2sin(3π(-2x^2 + 4x + 4) - 2) + 2) - 1)/(3(2sin(3π(-2x^2 + 4x + 4) - 2) + 2) + 1)) - 1))/(-2(-4((1(2sin(3π(-2x^2 + 4x + 4) - 2) + 2) - 1)/(3(2sin(3π(-2x^2 + 4x + 4) - 2) + 2) + 1)) - 1) - 1)) - 3) and g(x) = 1((2(1|(1|(-5x - 4) - 3| + 3) + 1| - 2) - 2)/(-3(1|(1|(-5x - 4) - 3| + 3) + 1| - 2) - 3)) + 3 from x = 2.5 to 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((-1(4(3x^2 - 2x - 3)^2 + 5(3x^2 - 2x - 3) + 4) + 2)/(1(4(3x^2 - 2x - 3)^2 + 5(3x^2 - 2x - 3) + 4))) - 1)/(-2((-1(4(3x^2 - 2x - 3)^2 + 5(3x^2 - 2x - 3) + 4) + 2)/(1(4(3x^2 - 2x - 3)^2 + 5(3x^2 - 2x - 3) + 4))))) + 3)/(-1((3((-1(4(3x^2 - 2x - 3)^2 + 5(3x^2 - 2x - 3) + 4) + 2)/(1(4(3x^2 - 2x - 3)^2 + 5(3x^2 - 2x - 3) + 4))) - 1)/(-2((-1(4(3x^2 - 2x - 3)^2 + 5(3x^2 - 2x - 3) + 4) + 2)/(1(4(3x^2 - 2x - 3)^2 + 5(3x^2 - 2x - 3) + 4))))) - 3)) + 1| + 1, g(x) = -1((2((1((-3(2|x - 2| - 1))/(-2(2|x - 2| - 1) + 1)) + 3)/(-2((-3(2|x - 2| - 1))/(-2(2|x - 2| - 1) + 1)) + 1)) - 3)/(-3((1((-3(2|x - 2| - 1))/(-2(2|x - 2| - 1) + 1)) + 3)/(-2((-3(2|x - 2| - 1))/(-2(2|x - 2| - 1) + 1)) + 1)) + 2)), x = 1.1, and x = 2.9. Round your answer to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = -2(-1((-1(1(2sin(2π(-2|x + 3| - 3) + 3) + 3)^2 - 2(2sin(2π(-2|x + 3| - 3) + 3) + 3) + 5) - 3)/(-3(1(2sin(2π(-2|x + 3| - 3) + 3) + 3)^2 - 2(2sin(2π(-2|x + 3| - 3) + 3) + 3) + 5) + 2))^2 + 5((-1(1(2sin(2π(-2|x + 3| - 3) + 3) + 3)^2 - 2(2sin(2π(-2|x + 3| - 3) + 3) + 3) + 5) - 3)/(-3(1(2sin(2π(-2|x + 3| - 3) + 3) + 3)^2 - 2(2sin(2π(-2|x + 3| - 3) + 3) + 3) + 5) + 2)) - 2)^2 + 4 and g(x) = -2((-1(4(-1sin(2π(2x^2 + 5x + 5) + 2))^2 - 1(-1sin(2π(2x^2 + 5x + 5) + 2)) - 4))/(2(4(-1sin(2π(2x^2 + 5x + 5) + 2))^2 - 1(-1sin(2π(2x^2 + 5x + 5) + 2)) - 4)))^2 + 4 between the vertical lines x = -2.5 and x = -2.2. Round to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = 2cos(3π(-4(5(-2|((-1((1x - 1)/(-2x + 3)) + 3)/(1((1x - 1)/(-2x + 3)) + 3)) + 1| - 1) + 2) + 1) - 3) + 3 and g(x) = -2|((-2(-4(-4(-5x^2 + 1x + 5)^2 - 5(-5x^2 + 1x + 5) + 5)^2 - 2(-4(-5x^2 + 1x + 5)^2 - 5(-5x^2 + 1x + 5) + 5) + 5) - 2)/(-3(-4(-4(-5x^2 + 1x + 5)^2 - 5(-5x^2 + 1x + 5) + 5)^2 - 2(-4(-5x^2 + 1x + 5)^2 - 5(-5x^2 + 1x + 5) + 5) + 5) - 2)) + 3| - 2 from x = -3 to x = 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(-2|(1(-4((3(1|x - 2|) - 1)/(3(1|x - 2|) + 2))^2 - 5((3(1|x - 2|) - 1)/(3(1|x - 2|) + 2))) + 1) + 2|)^2 - 1(-2|(1(-4((3(1|x - 2|) - 1)/(3(1|x - 2|) + 2))^2 - 5((3(1|x - 2|) - 1)/(3(1|x - 2|) + 2))) + 1) + 2|) + 1 and g(x) = -4((-2((2(-2(1sin(3πx) - 1)))/(2(-2(1sin(3πx) - 1)) - 1)) - 2)/(-2((2(-2(1sin(3πx) - 1)))/(2(-2(1sin(3πx) - 1)) - 1)) + 3)) - 4 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]
Find the area of the region bounded by the curves f(x) = -1|(4(5(2cos(3π((1((-1x)/(1x + 1)) + 3)/(-1((-1x)/(1x + 1)) - 1)) - 3) + 1)^2 - 4) + 4) - 2| - 2, g(x) = -3|((-2(-2|((-2(3x^2 - 3x - 2) - 3)/(-1(3x^2 - 3x - 2) + 2)) + 2| - 2) + 2)/(1(-2|((-2(3x^2 - 3x - 2) - 3)/(-1(3x^2 - 3x - 2) + 2)) + 2| - 2) + 1)) + 1|, x = 4.2, and x = 4.4. Round your answer to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = -1((1((-1(1|(1(-2x^2 + 3x + 1) + 3) + 3| - 1) + 2)/(-2(1|(1(-2x^2 + 3x + 1) + 3) + 3| - 1) + 3)) + 3)/(-2((-1(1|(1(-2x^2 + 3x + 1) + 3) + 3| - 1) + 2)/(-2(1|(1(-2x^2 + 3x + 1) + 3) + 3| - 1) + 3)) + 3))^2 - 4((1((-1(1|(1(-2x^2 + 3x + 1) + 3) + 3| - 1) + 2)/(-2(1|(1(-2x^2 + 3x + 1) + 3) + 3| - 1) + 3)) + 3)/(-2((-1(1|(1(-2x^2 + 3x + 1) + 3) + 3| - 1) + 2)/(-2(1|(1(-2x^2 + 3x + 1) + 3) + 3| - 1) + 3)) + 3)) - 2 and g(x) = (1(-1(-3cos(3π(-5(2|x + 1| + 3) + 3) + 2) - 1)^2 - 1(-3cos(3π(-5(2|x + 1| + 3) + 3) + 2) - 1) + 3) - 3)/(3(-1(-3cos(3π(-5(2|x + 1| + 3) + 3) + 2) - 1)^2 - 1(-3cos(3π(-5(2|x + 1| + 3) + 3) + 2) - 1) + 3) - 2) between the vertical lines x = -4.4 and x = -4.300000000000001. Round to 1 decimal place.

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


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

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


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

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


[User]
Find the area of the region bounded by the curves f(x) = 3|(4(-2(2(1cos(1π(-1x^2 + 5) + 1) + 1)^2 + 3(1cos(1π(-1x^2 + 5) + 1) + 1) - 4) - 2) - 4)| - 2, g(x) = (-1(2(-4(2sin(2π(1|x + 2| + 2) - 1) - 1)^2 - 2(2sin(2π(1|x + 2| + 2) - 1) - 1) + 3) - 5) - 1)/(-1(2(-4(2sin(2π(1|x + 2| + 2) - 1) - 1)^2 - 2(2sin(2π(1|x + 2| + 2) - 1) - 1) + 3) - 5) + 3), x = -2.2, and x = -2.0. Round your answer to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = (-2((-1((2(-1((-3(2|x + 1| - 3) - 2)/(3(2|x + 1| - 3)))^2 + 3((-3(2|x + 1| - 3) - 2)/(3(2|x + 1| - 3))) + 4) + 1)/(3(-1((-3(2|x + 1| - 3) - 2)/(3(2|x + 1| - 3)))^2 + 3((-3(2|x + 1| - 3) - 2)/(3(2|x + 1| - 3))) + 4) - 2)))/(-1((2(-1((-3(2|x + 1| - 3) - 2)/(3(2|x + 1| - 3)))^2 + 3((-3(2|x + 1| - 3) - 2)/(3(2|x + 1| - 3))) + 4) + 1)/(3(-1((-3(2|x + 1| - 3) - 2)/(3(2|x + 1| - 3)))^2 + 3((-3(2|x + 1| - 3) - 2)/(3(2|x + 1| - 3))) + 4) - 2)) - 1)) - 3)/(-1((-1((2(-1((-3(2|x + 1| - 3) - 2)/(3(2|x + 1| - 3)))^2 + 3((-3(2|x + 1| - 3) - 2)/(3(2|x + 1| - 3))) + 4) + 1)/(3(-1((-3(2|x + 1| - 3) - 2)/(3(2|x + 1| - 3)))^2 + 3((-3(2|x + 1| - 3) - 2)/(3(2|x + 1| - 3))) + 4) - 2)))/(-1((2(-1((-3(2|x + 1| - 3) - 2)/(3(2|x + 1| - 3)))^2 + 3((-3(2|x + 1| - 3) - 2)/(3(2|x + 1| - 3))) + 4) + 1)/(3(-1((-3(2|x + 1| - 3) - 2)/(3(2|x + 1| - 3)))^2 + 3((-3(2|x + 1| - 3) - 2)/(3(2|x + 1| - 3))) + 4) - 2)) - 1)) + 2) and g(x) = -5(-1sin(3π(-1((-3((3x)/(1x)) - 1)/(-3((3x)/(1x)) + 4))^2 + 4) - 3)) - 2 from x = -2.0 to x = -0.0. Round to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = -4(2((-1(3|(-1e^(-2(-5x^2 + 4x + 2)) + 3) - 1| + 1) + 3)/(1(3|(-1e^(-2(-5x^2 + 4x + 2)) + 3) - 1| + 1) + 2))^2 + 2) + 4, g(x) = -1|(-1|((3(2(-1|x - 2| - 1)^2 + 3(-1|x - 2| - 1) + 1) + 2)/(-3(2(-1|x - 2| - 1)^2 + 3(-1|x - 2| - 1) + 1))) - 3| + 1) + 3| + 2, x = 2.0, and x = 2.1. 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) = -4(-2|(-2|(2e^(1(-5(1|x| - 2) + 1))) - 1| + 1)| + 3)^2 + 4(-2|(-2|(2e^(1(-5(1|x| - 2) + 1))) - 1| + 1)| + 3) + 5, g(x) = (2((3(-3(3(4x^2 + 1x - 2)^2 + 5(4x^2 + 1x - 2) - 5)^2 + 1(3(4x^2 + 1x - 2)^2 + 5(4x^2 + 1x - 2) - 5) - 1) + 1)/(3(-3(3(4x^2 + 1x - 2)^2 + 5(4x^2 + 1x - 2) - 5)^2 + 1(3(4x^2 + 1x - 2)^2 + 5(4x^2 + 1x - 2) - 5) - 1) + 2)) - 2)/(3((3(-3(3(4x^2 + 1x - 2)^2 + 5(4x^2 + 1x - 2) - 5)^2 + 1(3(4x^2 + 1x - 2)^2 + 5(4x^2 + 1x - 2) - 5) - 1) + 1)/(3(-3(3(4x^2 + 1x - 2)^2 + 5(4x^2 + 1x - 2) - 5)^2 + 1(3(4x^2 + 1x - 2)^2 + 5(4x^2 + 1x - 2) - 5) - 1) + 2)) + 3), x = 2.4, and x = 2.7. 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) = -1cos(1π(5(1|(4(3|((2x - 1)/(2x - 1)) - 1| + 1)^2 + 2(3|((2x - 1)/(2x - 1)) - 1| + 1) - 2) + 3|) - 5) + 1) - 3 and g(x) = -2cos(1π(-5(-2((-2(2x + 2) - 2)/(2(2x + 2) + 3))^2 - 5((-2(2x + 2) - 2)/(2(2x + 2) + 3)) + 4)) + 3) - 3 between the vertical lines x = -1.9 and x = -1.7999999999999998. Round to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = 3(2|(2(1|(1(5x + 5) + 5) - 2| + 3))| - 3) + 1, g(x) = 4(2|(3(-2(1x^2 + 4x + 2)^2 + 1(1x^2 + 4x + 2))^2 + 2(-2(1x^2 + 4x + 2)^2 + 1(1x^2 + 4x + 2)) + 5) - 1| - 1)^2 - 3(2|(3(-2(1x^2 + 4x + 2)^2 + 1(1x^2 + 4x + 2))^2 + 2(-2(1x^2 + 4x + 2)^2 + 1(1x^2 + 4x + 2)) + 5) - 1| - 1) + 5, x = -3.7, and x = -3.6. 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(-5(-1sin(2π(5((-3((3x + 1)/(-2x - 2)) - 3)/(-1((3x + 1)/(-2x - 2)) + 2)) + 1) - 2)) - 4) - 2)/(-1(-5(-1sin(2π(5((-3((3x + 1)/(-2x - 2)) - 3)/(-1((3x + 1)/(-2x - 2)) + 2)) + 1) - 2)) - 4) + 2) and g(x) = (-3(5(3(-2((-2x + 1)/(3x + 2)) - 1)^2 + 2(-2((-2x + 1)/(3x + 2)) - 1) + 2)^2 + 5(3(-2((-2x + 1)/(3x + 2)) - 1)^2 + 2(-2((-2x + 1)/(3x + 2)) - 1) + 2) + 1) - 3)/(-2(5(3(-2((-2x + 1)/(3x + 2)) - 1)^2 + 2(-2((-2x + 1)/(3x + 2)) - 1) + 2)^2 + 5(3(-2((-2x + 1)/(3x + 2)) - 1)^2 + 2(-2((-2x + 1)/(3x + 2)) - 1) + 2) + 1) - 3) between the vertical lines x = -2.4 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) = -2(-1|((1(2|(4(-4x^2 - 3x - 1) + 3) - 3|) - 3)/(-1(2|(4(-4x^2 - 3x - 1) + 3) - 3|) - 1)) + 3| + 2)^2 - 4(-1|((1(2|(4(-4x^2 - 3x - 1) + 3) - 3|) - 3)/(-1(2|(4(-4x^2 - 3x - 1) + 3) - 3|) - 1)) + 3| + 2) + 4, g(x) = (-2((1(3(2sin(1π(3|x - 1| + 3) - 2) + 3) - 3))/(2(3(2sin(1π(3|x - 1| + 3) - 2) + 3) - 3) + 2)) - 2)/(3((1(3(2sin(1π(3|x - 1| + 3) - 2) + 3) - 3))/(2(3(2sin(1π(3|x - 1| + 3) - 2) + 3) - 3) + 2)) - 2), x = 0.8, and x = 1.2. Round your answer to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = 3((1((-3(-2(1|(-1x^2 - 3x + 4) - 1| + 1) + 4) + 1)/(1(-2(1|(-1x^2 - 3x + 4) - 1| + 1) + 4) + 1)) - 3)/(-1((-3(-2(1|(-1x^2 - 3x + 4) - 1| + 1) + 4) + 1)/(1(-2(1|(-1x^2 - 3x + 4) - 1| + 1) + 4) + 1)) + 2)) - 1 and g(x) = -5(2(-2(3(3e^(-1x) - 3)^2 + 3(3e^(-1x) - 3) - 5)^2 - 1(3(3e^(-1x) - 3)^2 + 3(3e^(-1x) - 3) - 5) + 1) - 5) + 1 from x = 0.5 to 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(1|(3((-3(-2e^(1((-3x + 3)/(2x))) + 3) + 2)/(-1(-2e^(1((-3x + 3)/(2x))) + 3) - 3))^2 - 5) + 2| - 2) - 4 and g(x) = -3(-4(4(1|(-1x^2 + 1x - 1) - 1| - 1) - 5)^2 + 2(4(1|(-1x^2 + 1x - 1) - 1| - 1) - 5)) - 1 between the vertical lines x = 0.0 and x = 0.4. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = -2(3|((2(-3sin(2π(-1|(1|x - 2| - 2)| + 1) - 3) - 2) - 3)/(-3(-3sin(2π(-1|(1|x - 2| - 2)| + 1) - 3) - 2) + 4)) - 2| - 1)^2 - 2(3|((2(-3sin(2π(-1|(1|x - 2| - 2)| + 1) - 3) - 2) - 3)/(-3(-3sin(2π(-1|(1|x - 2| - 2)| + 1) - 3) - 2) + 4)) - 2| - 1) + 3 and g(x) = 5(-3|((3(4(4x - 3)^2 - 4(4x - 3) - 3) - 2)/(1(4(4x - 3)^2 - 4(4x - 3) - 3) + 2)) - 2| - 3) + 3 from x = 0.8 to x = 1.0. Round to 1 decimal place.

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

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[User]
Calculate the area enclosed between the functions f(x) = 3sin(1π(2|(4(4((1(-1x + 4) - 3)/(3(-1x + 4) - 2)) - 3)^2 - 2(4((1(-1x + 4) - 3)/(3(-1x + 4) - 2)) - 3) + 1) - 1| - 1) - 1) - 1 and g(x) = (-2(1(-2|(4(2|x + 1| - 2)^2 + 5(2|x + 1| - 2) + 2)| - 2) + 3) - 2)/(3(1(-2|(4(2|x + 1| - 2)^2 + 5(2|x + 1| - 2) + 2)| - 2) + 3) - 2) from x = 2.0 to 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) = -2|(1|((-2(-2((3(2sin(3πx + 3) + 3) - 2)/(1(2sin(3πx + 3) + 3) - 3)) + 4) - 3)/(-3(-2((3(2sin(3πx + 3) + 3) - 2)/(1(2sin(3πx + 3) + 3) - 3)) + 4) + 4)) + 2| - 3) - 3|, g(x) = -3|(4(-4(2((1x + 3)/(-2x - 1))^2 - 4((1x + 3)/(-2x - 1)) + 2)) + 5) - 2| + 1, x = -1.6, 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) = -4(1(3(4((1(-1x + 3))/(3(-1x + 3) - 2)) + 4) + 2) + 3)^2 + 4(1(3(4((1(-1x + 3))/(3(-1x + 3) - 2)) + 4) + 2) + 3) - 3, g(x) = -2|(-3|((1(1|((-2x + 1)/(1x)) - 2| - 2) + 3)/(-2(1|((-2x + 1)/(1x)) - 2| - 2) - 1)) - 3| + 1) + 2|, 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) = 1|(1|((1((-2(5(2x + 1)^2 + 1(2x + 1) - 4) - 1)/(2(5(2x + 1)^2 + 1(2x + 1) - 4) + 2)) - 1)/(3((-2(5(2x + 1)^2 + 1(2x + 1) - 4) - 1)/(2(5(2x + 1)^2 + 1(2x + 1) - 4) + 2)) + 2))|) - 3| and g(x) = (-1(-1cos(3π(2|(4((2x + 2)/(-1x)) - 1) - 1| - 2) - 1) + 3))/(-1(-1cos(3π(2|(4((2x + 2)/(-1x)) - 1) - 1| - 2) - 1) + 3) - 1) from x = 0.2 to x = 0.30000000000000004. Round to 1 decimal place.

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

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[User]
Determine the area of the region enclosed by the graphs of f(x) = -2(-1|(2cos(2π(-1(4((2x)/(-3x)) - 5) + 1) - 3) - 3) + 1| + 1)^2 - 4(-1|(2cos(2π(-1(4((2x)/(-3x)) - 5) + 1) - 3) - 3) + 1| + 1) + 4 and g(x) = 3|(4(1(-3|(1|x - 2| + 1) - 2| + 2)^2 - 4(-3|(1|x - 2| + 1) - 2| + 2))^2 - 5(1(-3|(1|x - 2| + 1) - 2| + 2)^2 - 4(-3|(1|x - 2| + 1) - 2| + 2)) - 3) - 1| between the vertical lines x = 2.2 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|(-1|(-1|(1(-2e^(-1(-4x^2 + 1x)) - 1)^2 + 1(-2e^(-1(-4x^2 + 1x)) - 1) - 3)| + 1) + 3| - 2) + 1| - 3, g(x) = 1(2((3(-1(-3|x - 3| + 3)^2 - 3(-3|x - 3| + 3) - 3) + 1)/(2(-1(-3|x - 3| + 3)^2 - 3(-3|x - 3| + 3) - 3) - 1)) - 1)^2 + 4(2((3(-1(-3|x - 3| + 3)^2 - 3(-3|x - 3| + 3) - 3) + 1)/(2(-1(-3|x - 3| + 3)^2 - 3(-3|x - 3| + 3) - 3) - 1)) - 1) + 2, x = -0.2, and x = 0.4. 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) = -2|((1((-3(1|(2e^(2(2x^2 + 3x - 4)) - 2) + 1| - 2) + 1)/(2(1|(2e^(2(2x^2 + 3x - 4)) - 2) + 1| - 2) - 1)) - 1)/(-2((-3(1|(2e^(2(2x^2 + 3x - 4)) - 2) + 1| - 2) + 1)/(2(1|(2e^(2(2x^2 + 3x - 4)) - 2) + 1| - 2) - 1)) - 2)) - 1| - 2 and g(x) = -1|(5(3sin(3π(3|(-4x) + 1|) + 2)) - 5) - 3| + 1 between the vertical lines x = 3.9 and x = 4.0. Round to 1 decimal place.

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

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[User]
Calculate the area enclosed between the functions f(x) = 1|(4(4(-4(1sin(3π(3|x - 3| + 3)))^2 + 4(1sin(3π(3|x - 3| + 3))) + 2) + 1) + 2) + 3| and g(x) = -3(-5(1cos(3π(3(-4x + 1) - 3)) - 3)^2 + 2(1cos(3π(3(-4x + 1) - 3)) - 3) - 2) - 4 from x = -3.0 to x = -2.8. Round to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = (-3(3sin(3π(1|(-4(-2|(1|x - 3|)| - 3)^2 - 1(-2|(1|x - 3|)| - 3) - 1) - 2| + 3))) + 2)/(2(3sin(3π(1|(-4(-2|(1|x - 3|)| - 3)^2 - 1(-2|(1|x - 3|)| - 3) - 1) - 2| + 3))) - 1) and g(x) = 5(-3cos(3π(4(-2((2x - 1)/(1x + 1)) - 2)^2 + 5(-2((2x - 1)/(1x + 1)) - 2) + 4)) + 2)^2 + 4(-3cos(3π(4(-2((2x - 1)/(1x + 1)) - 2)^2 + 5(-2((2x - 1)/(1x + 1)) - 2) + 4)) + 2) - 2 between the vertical lines x = 2.2 and x = 2.3000000000000003. Round to 1 decimal place.

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

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

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[User]
Determine the area of the region enclosed by the graphs of f(x) = 1((-3(-2|(-2|(-3|(2sin(1πx - 3) - 2) + 1| + 3) + 3| + 1) + 2| - 2) + 3)/(-2(-2|(-2|(-3|(2sin(1πx - 3) - 2) + 1| + 3) + 3| + 1) + 2| - 2) - 1))^2 + 2((-3(-2|(-2|(-3|(2sin(1πx - 3) - 2) + 1| + 3) + 3| + 1) + 2| - 2) + 3)/(-2(-2|(-2|(-3|(2sin(1πx - 3) - 2) + 1| + 3) + 3| + 1) + 2| - 2) - 1)) + 2 and g(x) = 2|(-5((-3((-1(-5x + 1) - 3)/(-3(-5x + 1) + 1)) + 1)/(2((-1(-5x + 1) - 3)/(-3(-5x + 1) + 1)) - 3)) + 2) + 2| + 1 between the vertical lines x = 4.1 and x = 4.2. Round to 1 decimal place.

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

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[User]
Calculate the area enclosed between the functions f(x) = -2|((-3(-2|(5(2cos(1π(3x + 1)) + 1) + 5) + 1| + 2) - 3)/(3(-2|(5(2cos(1π(3x + 1)) + 1) + 5) + 1| + 2) - 1)) + 1| and g(x) = (1(1((-1((2(1x^2 - 1x - 2) - 2)/(3(1x^2 - 1x - 2) - 2)) - 1)/(-3((2(1x^2 - 1x - 2) - 2)/(3(1x^2 - 1x - 2) - 2)) + 4)) + 4) - 3)/(-1(1((-1((2(1x^2 - 1x - 2) - 2)/(3(1x^2 - 1x - 2) - 2)) - 1)/(-3((2(1x^2 - 1x - 2) - 2)/(3(1x^2 - 1x - 2) - 2)) + 4)) + 4) + 2) from x = -3.5 to x = -3.2. Round to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = -2(-1(-4(-3|(-4(-5x - 2) - 3) - 3| + 1) - 1) - 3) + 3, g(x) = 4(-3(-1cos(2π((2(-3x + 2) - 1)/(-3(-3x + 2) - 1)) - 1) - 2)^2)^2 - 3(-3(-1cos(2π((2(-3x + 2) - 1)/(-3(-3x + 2) - 1)) - 1) - 2)^2) - 3, x = 0.8, 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) = -1e^(-1((-1(3|(-3(2|(2|x + 3| - 1) - 1|) + 4) - 2| + 2) - 2)/(2(3|(-3(2|(2|x + 3| - 1) - 1|) + 4) - 2| + 2) + 1))) + 1 and g(x) = 2(-2sin(3π(3(-5((-2x + 3)/(-1x + 2))^2 - 5((-2x + 3)/(-1x + 2)) + 4) + 4)) + 1) - 5 from x = -1.2 to x = -1.0999999999999999. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = 3(1|(-1(-3sin(1π(-2|((-2x)/(-1x + 3)) - 2| + 1) - 3))^2 + 4(-3sin(1π(-2|((-2x)/(-1x + 3)) - 2| + 1) - 3)) + 3) - 2| + 2)^2 + 2(1|(-1(-3sin(1π(-2|((-2x)/(-1x + 3)) - 2| + 1) - 3))^2 + 4(-3sin(1π(-2|((-2x)/(-1x + 3)) - 2| + 1) - 3)) + 3) - 2| + 2) - 4 and g(x) = 3|(2|(2cos(2π((1((3x - 2)/(3x + 3)) - 3)/(-3((3x - 2)/(3x + 3)) + 1)) - 1) + 1) + 3| - 1) + 2| + 1 from x = 2.6 to 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(-3|(-1((-1((-2(-1x^2 - 5x + 1))/(-2(-1x^2 - 5x + 1) + 1)) + 2)/(-2((-2(-1x^2 - 5x + 1))/(-2(-1x^2 - 5x + 1) + 1)))) - 1) + 1| + 1))/(3(-3|(-1((-1((-2(-1x^2 - 5x + 1))/(-2(-1x^2 - 5x + 1) + 1)) + 2)/(-2((-2(-1x^2 - 5x + 1))/(-2(-1x^2 - 5x + 1) + 1)))) - 1) + 1| + 1)), g(x) = 4(2|(3|(-2|((-3x + 1)/(1x - 2)) - 1| + 1) - 1| + 1) - 2| - 3) - 2, x = 0.6, 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(-3e^(-2((-3(-5(-1((-3x + 2)/(-2x - 3))^2 - 3((-3x + 2)/(-2x - 3)) - 4)^2 + 1(-1((-3x + 2)/(-2x - 3))^2 - 3((-3x + 2)/(-2x - 3)) - 4) + 5) - 3)/(3(-5(-1((-3x + 2)/(-2x - 3))^2 - 3((-3x + 2)/(-2x - 3)) - 4)^2 + 1(-1((-3x + 2)/(-2x - 3))^2 - 3((-3x + 2)/(-2x - 3)) - 4) + 5) - 1))) + 2) - 1 and g(x) = 4(-3|(-1(-4((2x + 1)/(-1x + 3)) - 3)^2 - 1(-4((2x + 1)/(-1x + 3)) - 3))| - 3) - 1 from x = -3.2 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) = (2(-3(-1(-3|(1|(-1cos(3πx + 1) + 3)| - 3) + 1| + 2)^2 - 3(-3|(1|(-1cos(3πx + 1) + 3)| - 3) + 1| + 2) + 5) + 5))/(-3(-3(-1(-3|(1|(-1cos(3πx + 1) + 3)| - 3) + 1| + 2)^2 - 3(-3|(1|(-1cos(3πx + 1) + 3)| - 3) + 1| + 2) + 5) + 5) + 1), g(x) = 1|(4((3(-1((-3x + 3)/(-3x + 2)) + 1) + 1)/(3(-1((-3x + 3)/(-3x + 2)) + 1) + 1)) - 5) - 1|, x = 0.3, 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^(2(2|(5((3((2((1x - 2)/(1x + 2)) + 3)/(2((1x - 2)/(1x + 2)) - 1)) - 1)/(-2((2((1x - 2)/(1x + 2)) + 3)/(2((1x - 2)/(1x + 2)) - 1)) - 1))^2 + 2) - 2| - 3)) - 1, g(x) = -4(4(3sin(3π(-5(1|x - 1|) - 1) + 2) - 3) - 2)^2 + 3(4(3sin(3π(-5(1|x - 1|) - 1) + 2) - 3) - 2) + 5, x = -2.2, and x = -2.1. 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) = 3(-2(-2|(-1((-1(-1x^2 - 1x - 5) - 2)/(-1(-1x^2 - 1x - 5))) + 4) - 3| + 2)^2 - 5(-2|(-1((-1(-1x^2 - 1x - 5) - 2)/(-1(-1x^2 - 1x - 5))) + 4) - 3| + 2) + 5) - 4 and g(x) = (3(2|((3(4(1cos(1πx + 3) - 2)^2 + 5(1cos(1πx + 3) - 2) - 5))/(2(4(1cos(1πx + 3) - 2)^2 + 5(1cos(1πx + 3) - 2) - 5) - 1)) - 3| - 1) + 2)/(3(2|((3(4(1cos(1πx + 3) - 2)^2 + 5(1cos(1πx + 3) - 2) - 5))/(2(4(1cos(1πx + 3) - 2)^2 + 5(1cos(1πx + 3) - 2) - 5) - 1)) - 3| - 1) - 1) between the vertical lines x = -4.4 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) = 3|(2((-1(-3(3e^(-2(2x + 3)) + 2)^2 + 2(3e^(-2(2x + 3)) + 2) - 4) - 2)/(3(-3(3e^(-2(2x + 3)) + 2)^2 + 2(3e^(-2(2x + 3)) + 2) - 4) - 2))^2 - 2((-1(-3(3e^(-2(2x + 3)) + 2)^2 + 2(3e^(-2(2x + 3)) + 2) - 4) - 2)/(3(-3(3e^(-2(2x + 3)) + 2)^2 + 2(3e^(-2(2x + 3)) + 2) - 4) - 2)) + 2) - 3| + 2 and g(x) = 3(3(-3e^(-1(-4(-4x + 2)^2 + 1(-4x + 2) + 3)) + 3)^2 - 2(-3e^(-1(-4(-4x + 2)^2 + 1(-4x + 2) + 3)) + 3)) - 4 between the vertical lines x = 0.3 and 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) = (1(5(-4((-1(5(-3sin(1πx - 1))^2 + 3(-3sin(1πx - 1)) - 2) - 1)/(-2(5(-3sin(1πx - 1))^2 + 3(-3sin(1πx - 1)) - 2) - 3))^2 - 2((-1(5(-3sin(1πx - 1))^2 + 3(-3sin(1πx - 1)) - 2) - 1)/(-2(5(-3sin(1πx - 1))^2 + 3(-3sin(1πx - 1)) - 2) - 3)) + 5)^2 + 2) + 3)/(-2(5(-4((-1(5(-3sin(1πx - 1))^2 + 3(-3sin(1πx - 1)) - 2) - 1)/(-2(5(-3sin(1πx - 1))^2 + 3(-3sin(1πx - 1)) - 2) - 3))^2 - 2((-1(5(-3sin(1πx - 1))^2 + 3(-3sin(1πx - 1)) - 2) - 1)/(-2(5(-3sin(1πx - 1))^2 + 3(-3sin(1πx - 1)) - 2) - 3)) + 5)^2 + 2) - 1), g(x) = 1|(-5((-2(-2|((2x + 1)/(1x)) + 3| - 1) - 2)/(-2(-2|((2x + 1)/(1x)) + 3| - 1) - 3)) + 5)| - 1, x = -0.1, and x = 0.3. Round your answer to 1 decimal place.

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

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

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[User]
Calculate the area enclosed between the functions f(x) = (-1(-1(3cos(3π(3|(2((3x - 1)/(-1x + 2)) + 2)|) + 2) + 3) - 5) + 1)/(-1(-1(3cos(3π(3|(2((3x - 1)/(-1x + 2)) + 2)|) + 2) + 3) - 5) + 3) and g(x) = (-2(1|(1(-3cos(1π(4x + 5) - 1) + 2)^2 - 3) - 3| - 2) + 2)/(-2(1|(1(-3cos(1π(4x + 5) - 1) + 2)^2 - 3) - 3| - 2)) from x = -3.0 to x = -2.8. Round to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = -1e^(1(-4(-1((-2(-1|(1x + 3) + 2| + 2))/(3(-1|(1x + 3) + 2| + 2) + 2))^2 + 2((-2(-1|(1x + 3) + 2| + 2))/(3(-1|(1x + 3) + 2| + 2) + 2)) + 1) - 4)) + 1 and g(x) = 1(-3|((-2((3(3x^2 - 4x - 4) - 3)/(-1(3x^2 - 4x - 4) + 3)) - 3)/(-2((3(3x^2 - 4x - 4) - 3)/(-1(3x^2 - 4x - 4) + 3)) - 1)) - 2|) + 1 between the vertical lines x = 0.2 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(3|(-3sin(3π(-1|x + 3| - 2) + 1)) + 1| - 1)^2 + 1(3|(-3sin(3π(-1|x + 3| - 2) + 1)) + 1| - 1) + 2) + 2)/(-3(-1(3|(-3sin(3π(-1|x + 3| - 2) + 1)) + 1| - 1)^2 + 1(3|(-3sin(3π(-1|x + 3| - 2) + 1)) + 1| - 1) + 2) - 3)) + 2, g(x) = -2|(-4((-3(-5(-3x + 3)^2 + 3(-3x + 3) + 2) - 2)/(-1(-5(-3x + 3)^2 + 3(-3x + 3) + 2) - 3)) + 1) - 1|, x = -3.5, and x = 3.7. Round your answer to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = (1(-1(1((1(-2(2e^(2x) - 1) + 3) - 2)/(-2(-2(2e^(2x) - 1) + 3) - 1)) - 3) - 4) - 1)/(-3(-1(1((1(-2(2e^(2x) - 1) + 3) - 2)/(-2(-2(2e^(2x) - 1) + 3) - 1)) - 3) - 4)) and g(x) = 1((2(5(1(2x + 3)^2 + 4(2x + 3) + 3)) + 2)/(3(5(1(2x + 3)^2 + 4(2x + 3) + 3)) + 1)) + 2 from x = -3.0 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) = (2((2(3|(-2|(1(4x^2 + 5x + 1)) + 3|) + 2| + 2) + 2)/(-1(3|(-2|(1(4x^2 + 5x + 1)) + 3|) + 2| + 2) + 2)) + 2)/(-1((2(3|(-2|(1(4x^2 + 5x + 1)) + 3|) + 2| + 2) + 2)/(-1(3|(-2|(1(4x^2 + 5x + 1)) + 3|) + 2| + 2) + 2)) + 3) and g(x) = -1sin(3π((-2((1((-2(1|x + 1| + 3) + 2)/(2(1|x + 1| + 3) + 3)) - 3)/(2((-2(1|x + 1| + 3) + 2)/(2(1|x + 1| + 3) + 3)) - 3)) - 2)/(3((1((-2(1|x + 1| + 3) + 2)/(2(1|x + 1| + 3) + 3)) - 3)/(2((-2(1|x + 1| + 3) + 2)/(2(1|x + 1| + 3) + 3)) - 3)) - 2)) - 2) - 1 between the vertical lines x = -0.3 and x = 0.8. Round to 1 decimal place.

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

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[User]
Determine the area of the region enclosed by the graphs of f(x) = 5(2sin(2π(4(2|(3|(1|x - 1| - 2) - 3| - 2)| + 1)^2 - 2) - 2) + 2) - 5 and g(x) = (1(1(2(3|(-1|x + 1| + 3) + 2|))^2 - 3) + 3)/(3(1(2(3|(-1|x + 1| + 3) + 2|))^2 - 3) + 2) between the vertical lines x = 3.0 and 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) = -1(5(4((2(-1|(3x - 3) + 2| - 1) + 2)/(-3(-1|(3x - 3) + 2| - 1) + 1)) + 2) + 3) + 1 and g(x) = 2cos(1π(5(2|(3(-4x^2 + 2x + 3)^2 + 5(-4x^2 + 2x + 3) + 3) - 1| + 2)^2 - 4(2|(3(-4x^2 + 2x + 3)^2 + 5(-4x^2 + 2x + 3) + 3) - 1| + 2) + 1)) between the vertical lines x = -1.0 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(-1|(2|(2((-1(1|x - 3| - 1) - 1)/(-2(1|x - 3| - 1) - 3)) + 4) - 3| - 1) - 1| + 2)^2 - 4(-1|(2|(2((-1(1|x - 3| - 1) - 1)/(-2(1|x - 3| - 1) - 3)) + 4) - 3| - 1) - 1| + 2) + 5, g(x) = 2cos(3π(-1|((-1(5(2|x - 2| - 1)^2 + 5(2|x - 2| - 1) - 4) - 2)/(-2(5(2|x - 2| - 1)^2 + 5(2|x - 2| - 1) - 4) - 1)) - 3| - 3) + 2) + 3, x = 2.7, and x = 2.8000000000000003. Round your answer to 1 decimal place.

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

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[User]
Calculate the area enclosed between the functions f(x) = -1e^(-1((1(5(5(3|(-4x + 2)| - 1) - 3) + 2) + 1)/(2(5(5(3|(-4x + 2)| - 1) - 3) + 2) + 3))) and g(x) = (1(-3|(-1(-5(-1x - 1) + 1)^2 + 3) - 3| + 2) + 2)/(-1(-3|(-1(-5(-1x - 1) + 1)^2 + 3) - 3| + 2) - 2) from x = 0.4 to x = 0.6. Round to 1 decimal place.

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

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[User]
Find the area of the region bounded by the curves f(x) = 2((2(1(1(5(-1|x - 2| - 1)^2 + 3(-1|x - 2| - 1) - 3)^2 - 5(5(-1|x - 2| - 1)^2 + 3(-1|x - 2| - 1) - 3) + 4)^2 - 5(1(5(-1|x - 2| - 1)^2 + 3(-1|x - 2| - 1) - 3)^2 - 5(5(-1|x - 2| - 1)^2 + 3(-1|x - 2| - 1) - 3) + 4) - 5))/(-1(1(1(5(-1|x - 2| - 1)^2 + 3(-1|x - 2| - 1) - 3)^2 - 5(5(-1|x - 2| - 1)^2 + 3(-1|x - 2| - 1) - 3) + 4)^2 - 5(1(5(-1|x - 2| - 1)^2 + 3(-1|x - 2| - 1) - 3)^2 - 5(5(-1|x - 2| - 1)^2 + 3(-1|x - 2| - 1) - 3) + 4) - 5) - 3))^2 + 4((2(1(1(5(-1|x - 2| - 1)^2 + 3(-1|x - 2| - 1) - 3)^2 - 5(5(-1|x - 2| - 1)^2 + 3(-1|x - 2| - 1) - 3) + 4)^2 - 5(1(5(-1|x - 2| - 1)^2 + 3(-1|x - 2| - 1) - 3)^2 - 5(5(-1|x - 2| - 1)^2 + 3(-1|x - 2| - 1) - 3) + 4) - 5))/(-1(1(1(5(-1|x - 2| - 1)^2 + 3(-1|x - 2| - 1) - 3)^2 - 5(5(-1|x - 2| - 1)^2 + 3(-1|x - 2| - 1) - 3) + 4)^2 - 5(1(5(-1|x - 2| - 1)^2 + 3(-1|x - 2| - 1) - 3)^2 - 5(5(-1|x - 2| - 1)^2 + 3(-1|x - 2| - 1) - 3) + 4) - 5) - 3)) + 2, g(x) = (-3(1|(3((2(1|x + 3|))/(3(1|x + 3|) - 1)) - 4) - 1| - 2) + 2)/(2(1|(3((2(1|x + 3|))/(3(1|x + 3|) - 1)) - 4) - 1| - 2) - 3), x = 2.3, 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) = 2sin(2π(2|(5(-2|(1|(1x^2 + 1x + 2) + 1| - 1) + 2| - 1)^2 + 5(-2|(1|(1x^2 + 1x + 2) + 1| - 1) + 2| - 1) - 2) + 2| - 1) + 1) - 1 and g(x) = 2cos(2π((-2(1(-2((1x + 3)/(2x - 3)) - 2) - 4))/(-2(1(-2((1x + 3)/(2x - 3)) - 2) - 4))) - 3) from x = -4.7 to 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|(-5((-1(4(-1(-3x + 4)^2 - 5(-3x + 4) - 5) + 2) - 3)/(3(4(-1(-3x + 4)^2 - 5(-3x + 4) - 5) + 2) - 2)) - 3) + 2| + 1, g(x) = -4((-3(5(-1(1|x - 2|)^2 + 4)^2 + 3(-1(1|x - 2|)^2 + 4) + 5) + 3)/(3(5(-1(1|x - 2|)^2 + 4)^2 + 3(-1(1|x - 2|)^2 + 4) + 5))) - 2, x = -0.3, and x = 0.2. Round your answer to 1 decimal place.

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

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

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

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

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


[User]
Find the area of the region bounded by the curves f(x) = (-2((3((-3(-3sin(2π(-1(-2|x - 2| + 1) - 2) - 2) - 3) + 3)/(3(-3sin(2π(-1(-2|x - 2| + 1) - 2) - 2) - 3) + 1)) + 3)/(1((-3(-3sin(2π(-1(-2|x - 2| + 1) - 2) - 2) - 3) + 3)/(3(-3sin(2π(-1(-2|x - 2| + 1) - 2) - 2) - 3) + 1)) + 3)))/(1((3((-3(-3sin(2π(-1(-2|x - 2| + 1) - 2) - 2) - 3) + 3)/(3(-3sin(2π(-1(-2|x - 2| + 1) - 2) - 2) - 3) + 1)) + 3)/(1((-3(-3sin(2π(-1(-2|x - 2| + 1) - 2) - 2) - 3) + 3)/(3(-3sin(2π(-1(-2|x - 2| + 1) - 2) - 2) - 3) + 1)) + 3)) + 3), g(x) = 1(-3|((1((-2(-4x^2 + 1))/(1(-4x^2 + 1) + 1)) + 2)/(1((-2(-4x^2 + 1))/(1(-4x^2 + 1) + 1)) + 2)) + 1| + 3) + 4, x = 1.1, and x = 1.3. Round your answer to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = (-3(-4((3(1cos(1π((2(1x - 4) + 1)/(1(1x - 4) + 1)) - 1) + 3) - 2)/(1(1cos(1π((2(1x - 4) + 1)/(1(1x - 4) + 1)) - 1) + 3) + 2)) - 5))/(-2(-4((3(1cos(1π((2(1x - 4) + 1)/(1(1x - 4) + 1)) - 1) + 3) - 2)/(1(1cos(1π((2(1x - 4) + 1)/(1(1x - 4) + 1)) - 1) + 3) + 2)) - 5) - 3) and g(x) = 1(-2|(-1cos(3π(-1(3|x| - 3)^2 - 5(3|x| - 3) + 5)) + 1) - 3| + 2) + 4 from x = -4.4 to x = -4.300000000000001. Round to 1 decimal place.

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

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[User]
Find the area of the region bounded by the curves f(x) = (1(4(1(-2|(1(-2e^(-2x) - 3) + 1) + 2| + 1) + 3) + 3))/(-1(4(1(-2|(1(-2e^(-2x) - 3) + 1) + 2| + 1) + 3) + 3) + 2), g(x) = -1(1cos(1π(-5(2((1x + 2)/(3x + 2)))^2 - 5(2((1x + 2)/(3x + 2))) - 2) + 3) + 2)^2 + 5(1cos(1π(-5(2((1x + 2)/(3x + 2)))^2 - 5(2((1x + 2)/(3x + 2))) - 2) + 3) + 2) - 5, x = -0.8, and x = -0.7000000000000001. 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|(1sin(2π((2(3(-5x)^2 - 2(-5x)) - 2)/(-1(3(-5x)^2 - 2(-5x)) + 2)) + 2) + 1) - 3| - 2) + 1 and g(x) = 2cos(3π((-2(3(-2|((-2x + 3)/(3x)) + 3| + 3) - 2) + 3)/(-1(3(-2|((-2x + 3)/(3x)) + 3| + 3) - 2))) + 1) - 3 between the vertical lines x = 0.2 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(1(1|((-2(-2((1x - 2)/(-2x - 1)) - 5) - 1)/(1(-2((1x - 2)/(-2x - 1)) - 5))) - 1| + 1) + 2) + 4 and g(x) = -2|(5(-1e^(-1(-1(-5x^2 + 3x)^2 - 3(-5x^2 + 3x) + 5)) - 1)^2 - 2(-1e^(-1(-1(-5x^2 + 3x)^2 - 3(-5x^2 + 3x) + 5)) - 1)) - 3| + 1 between the vertical lines x = 0.2 and x = 0.4. Round to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = -2(2((-1(-2|(-3|(-1|x + 3| + 1) + 3| + 3) + 1| + 3) + 1)/(-1(-2|(-3|(-1|x + 3| + 1) + 3| + 3) + 1| + 3) - 1))^2 - 2((-1(-2|(-3|(-1|x + 3| + 1) + 3| + 3) + 1| + 3) + 1)/(-1(-2|(-3|(-1|x + 3| + 1) + 3| + 3) + 1| + 3) - 1)) - 4)^2 - 5(2((-1(-2|(-3|(-1|x + 3| + 1) + 3| + 3) + 1| + 3) + 1)/(-1(-2|(-3|(-1|x + 3| + 1) + 3| + 3) + 1| + 3) - 1))^2 - 2((-1(-2|(-3|(-1|x + 3| + 1) + 3| + 3) + 1| + 3) + 1)/(-1(-2|(-3|(-1|x + 3| + 1) + 3| + 3) + 1| + 3) - 1)) - 4) - 3 and g(x) = -1(-5(-2sin(3π((3(-1|x + 3| + 3) - 1)/(2(-1|x + 3| + 3) - 1)) + 2) - 1)^2 - 4(-2sin(3π((3(-1|x + 3| + 3) - 1)/(2(-1|x + 3| + 3) - 1)) + 2) - 1) + 1)^2 + 5(-5(-2sin(3π((3(-1|x + 3| + 3) - 1)/(2(-1|x + 3| + 3) - 1)) + 2) - 1)^2 - 4(-2sin(3π((3(-1|x + 3| + 3) - 1)/(2(-1|x + 3| + 3) - 1)) + 2) - 1) + 1) + 2 between the vertical lines x = -0.4 and x = -0.30000000000000004. Round to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = 1(-4(-3|((1(4(-2|x| - 3) + 3) + 1)/(-1(4(-2|x| - 3) + 3) - 3)) + 2| + 2)^2 - 1(-3|((1(4(-2|x| - 3) + 3) + 1)/(-1(4(-2|x| - 3) + 3) - 3)) + 2| + 2) + 1) + 3 and g(x) = 2(4(3e^(-2(-3(1x^2 - 4x)^2 + 5(1x^2 - 4x))) - 3) - 4) + 2 between the vertical lines x = 4.0 and x = 4.4. Round to 1 decimal place.

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

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[User]
Calculate the area enclosed between the functions f(x) = (2(-3cos(3π(-2|(-2|(4(1|x + 2| + 2)) - 1| - 1) + 3|) + 1) - 1) - 3)/(1(-3cos(3π(-2|(-2|(4(1|x + 2| + 2)) - 1| - 1) + 3|) + 1) - 1) - 3) and g(x) = -5(1e^(-1(-4(-2(4x^2 - 5x + 5)^2 - 2(4x^2 - 5x + 5) - 2) - 2))) from x = 4.0 to x = 4.1. Round to 1 decimal place.

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

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

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

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[User]
Determine the area of the region enclosed by the graphs of f(x) = -3|(4((-3(3sin(1π(-3(1|x + 3| + 1)^2 - 2(1|x + 3| + 1) - 2))))/(-2(3sin(1π(-3(1|x + 3| + 1)^2 - 2(1|x + 3| + 1) - 2))) + 1))^2 + 1((-3(3sin(1π(-3(1|x + 3| + 1)^2 - 2(1|x + 3| + 1) - 2))))/(-2(3sin(1π(-3(1|x + 3| + 1)^2 - 2(1|x + 3| + 1) - 2))) + 1)) + 3) - 2| and g(x) = -5((2(-1|(-2((3x - 2)/(2x + 2)) - 2) - 3| - 2) - 3)/(-1(-1|(-2((3x - 2)/(2x + 2)) - 2) - 3| - 2)))^2 - 3((2(-1|(-2((3x - 2)/(2x + 2)) - 2) - 3| - 2) - 3)/(-1(-1|(-2((3x - 2)/(2x + 2)) - 2) - 3| - 2))) - 2 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) = 1((-1((1(2|((1((1x)/(3x + 2)) + 1)/(3((1x)/(3x + 2)) - 2)) - 1|))/(1(2|((1((1x)/(3x + 2)) + 1)/(3((1x)/(3x + 2)) - 2)) - 1|) + 3)) + 3)/(-1((1(2|((1((1x)/(3x + 2)) + 1)/(3((1x)/(3x + 2)) - 2)) - 1|))/(1(2|((1((1x)/(3x + 2)) + 1)/(3((1x)/(3x + 2)) - 2)) - 1|) + 3)) + 2))^2 - 2((-1((1(2|((1((1x)/(3x + 2)) + 1)/(3((1x)/(3x + 2)) - 2)) - 1|))/(1(2|((1((1x)/(3x + 2)) + 1)/(3((1x)/(3x + 2)) - 2)) - 1|) + 3)) + 3)/(-1((1(2|((1((1x)/(3x + 2)) + 1)/(3((1x)/(3x + 2)) - 2)) - 1|))/(1(2|((1((1x)/(3x + 2)) + 1)/(3((1x)/(3x + 2)) - 2)) - 1|) + 3)) + 2)), g(x) = (-1((1(-5(3|((2x - 3)/(-1x - 2)) - 2|)^2 + 2) - 1)/(1(-5(3|((2x - 3)/(-1x - 2)) - 2|)^2 + 2) - 3)))/(-1((1(-5(3|((2x - 3)/(-1x - 2)) - 2|)^2 + 2) - 1)/(1(-5(3|((2x - 3)/(-1x - 2)) - 2|)^2 + 2) - 3)) + 2), x = -0.4, 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) = 2(-1(-2((-3(2(3x) - 2) - 2)/(2(2(3x) - 2) + 2))^2 + 5((-3(2(3x) - 2) - 2)/(2(2(3x) - 2) + 2)) + 4)^2 + 3(-2((-3(2(3x) - 2) - 2)/(2(2(3x) - 2) + 2))^2 + 5((-3(2(3x) - 2) - 2)/(2(2(3x) - 2) + 2)) + 4) - 1) + 2 and g(x) = (1(2(1cos(1π(2|(5x + 4) - 2| - 3) - 3) - 2)^2 - 5(1cos(1π(2|(5x + 4) - 2| - 3) - 3) - 2) - 4) - 2)/(3(2(1cos(1π(2|(5x + 4) - 2| - 3) - 3) - 2)^2 - 5(1cos(1π(2|(5x + 4) - 2| - 3) - 3) - 2) - 4) - 2) 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) = 3sin(2π(3|(1(3(-1(3|x + 1| - 2)^2 - 4(3|x + 1| - 2) + 3) - 4)^2 + 5(3(-1(3|x + 1| - 2)^2 - 4(3|x + 1| - 2) + 3) - 4) + 1) - 2| + 3) - 3) - 1 and g(x) = 3sin(1π(2((-1(-4(4x^2 + 3x - 3) + 4) - 3)/(-1(-4(4x^2 + 3x - 3) + 4) - 3)) + 1) + 1) 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) = 2|(2sin(2π((2(-2|(-5((2x - 2)/(2x + 3)) - 2) + 2| - 2) - 2)/(-2(-2|(-5((2x - 2)/(2x + 3)) - 2) + 2| - 2) - 1)) - 2) - 2)| + 2, g(x) = (1(3|(3|((2(-2|x - 3| - 2) + 2)/(-1(-2|x - 3| - 2) - 3)) + 2| - 3)| - 2) - 2)/(-1(3|(3|((2(-2|x - 3| - 2) + 2)/(-1(-2|x - 3| - 2) - 3)) + 2| - 3)| - 2) - 1), x = 0.1, and x = 0.8. Round your answer to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = 3cos(1π(3|(-1((-1(2(-4x - 2) + 2) + 1)/(1(2(-4x - 2) + 2) - 3)) + 2) + 3| - 1) - 3) + 2 and g(x) = 1|(3|(-2(4(-2|x + 1| + 2)^2 + 5(-2|x + 1| + 2) - 1)^2 - 5(4(-2|x + 1| + 2)^2 + 5(-2|x + 1| + 2) - 1) - 4) + 2| - 2) + 3| - 1 between the vertical lines x = -2.5 and x = -2.2. Round to 1 decimal place.

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

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[User]
Determine the area of the region enclosed by the graphs of f(x) = 1sin(2π(2|(1|((1(-2(2x - 4) + 3) - 1)/(2(-2(2x - 4) + 3) + 2)) + 1| - 1) - 2| - 3) - 2) + 1 and g(x) = -3cos(2π(3(-3(3|(1x - 1)| + 2) + 5)) + 1) between the vertical lines x = 3.7 and x = 3.8000000000000003. Round to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = 1(4((2(-2|(1|((2x + 2)/(-1x + 3))|)| - 3) - 2)/(-3(-2|(1|((2x + 2)/(-1x + 3))|)| - 3) + 2)) + 2)^2 - 4(4((2(-2|(1|((2x + 2)/(-1x + 3))|)| - 3) - 2)/(-3(-2|(1|((2x + 2)/(-1x + 3))|)| - 3) + 2)) + 2) + 2, g(x) = 1|(-1(1((-2(2|x + 3|) + 3)/(2(2|x + 3|) - 1)) - 4)) - 3| + 1, x = -3.1, and x = -2.9. Round your answer to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = -4(-2|(-2sin(2π(3(3(-4x^2 + 4x - 2)^2 + 1(-4x^2 + 4x - 2) + 5) - 3)) - 2) + 1|) - 4 and g(x) = (-3(1((1(-2|(2x^2 + 1) - 1|) + 1)/(-2(-2|(2x^2 + 1) - 1|) - 2)) - 2) + 1)/(3(1((1(-2|(2x^2 + 1) - 1|) + 1)/(-2(-2|(2x^2 + 1) - 1|) - 2)) - 2) + 2) from x = 3.5 to x = 3.6. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = -3|(5((2(-1sin(2π(2|((1x + 3)/(-2x - 1)) + 2|) + 3) - 3))/(-3(-1sin(2π(2|((1x + 3)/(-2x - 1)) + 2|) + 3) - 3) - 1)) + 5) + 3| + 1 and g(x) = -5(-4(3(-3|(-1x + 4) - 2|) + 1)^2 - 4(3(-3|(-1x + 4) - 2|) + 1) - 1)^2 + 5(-4(3(-3|(-1x + 4) - 2|) + 1)^2 - 4(3(-3|(-1x + 4) - 2|) + 1) - 1) + 2 from x = 1.9 to x = 2.1. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = -4(2(-3sin(3π(-2|(1|((-1x)/(-1x + 2))| - 2) - 2| - 1)) - 1)^2 + 1(-3sin(3π(-2|(1|((-1x)/(-1x + 2))| - 2) - 2| - 1)) - 1) - 3) + 4 and g(x) = (1(-2|(3|(-3|(1e^(-1x) - 3)| + 1) + 1| + 1)| - 3) + 1)/(-2(-2|(3|(-3|(1e^(-1x) - 3)| + 1) + 1| + 1)| - 3) - 1) from x = 2.4 to 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) = 2|(3sin(1π(-2(1(3(-2x^2 - 1x - 3) + 2) + 2)^2 - 4(1(3(-2x^2 - 1x - 3) + 2) + 2) - 4) - 3)) + 3| + 3, g(x) = (1(-2cos(3π((2((-1(1x^2 - 4x) - 3)/(1(1x^2 - 4x) + 1)) - 1)/(-2((-1(1x^2 - 4x) - 3)/(1(1x^2 - 4x) + 1)) - 3)) - 2) - 1) - 3)/(-3(-2cos(3π((2((-1(1x^2 - 4x) - 3)/(1(1x^2 - 4x) + 1)) - 1)/(-2((-1(1x^2 - 4x) - 3)/(1(1x^2 - 4x) + 1)) - 3)) - 2) - 1) - 3), x = 0.1, and x = 0.2. Round your answer to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = 4((2(-4(1|(-3((-3x + 2)/(1x + 2))^2 - 3((-3x + 2)/(1x + 2)) - 4) - 1| + 1)^2 - 4(1|(-3((-3x + 2)/(1x + 2))^2 - 3((-3x + 2)/(1x + 2)) - 4) - 1| + 1)) + 2)/(3(-4(1|(-3((-3x + 2)/(1x + 2))^2 - 3((-3x + 2)/(1x + 2)) - 4) - 1| + 1)^2 - 4(1|(-3((-3x + 2)/(1x + 2))^2 - 3((-3x + 2)/(1x + 2)) - 4) - 1| + 1))))^2 - 4((2(-4(1|(-3((-3x + 2)/(1x + 2))^2 - 3((-3x + 2)/(1x + 2)) - 4) - 1| + 1)^2 - 4(1|(-3((-3x + 2)/(1x + 2))^2 - 3((-3x + 2)/(1x + 2)) - 4) - 1| + 1)) + 2)/(3(-4(1|(-3((-3x + 2)/(1x + 2))^2 - 3((-3x + 2)/(1x + 2)) - 4) - 1| + 1)^2 - 4(1|(-3((-3x + 2)/(1x + 2))^2 - 3((-3x + 2)/(1x + 2)) - 4) - 1| + 1)))) - 2, g(x) = 5(-4(-1|((1(4x - 3) - 3)/(-1(4x - 3) + 2)) + 1| + 1) + 2) - 3, x = 0.8, and x = 1.7. Round your answer to 1 decimal place.

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


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

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


[User]
Find the area of the region bounded by the curves f(x) = -1(3((3(-5(-4(-3x^2 - 4x) - 4)^2 + 3(-4(-3x^2 - 4x) - 4) + 3) - 3)/(2(-5(-4(-3x^2 - 4x) - 4)^2 + 3(-4(-3x^2 - 4x) - 4) + 3) + 1)) + 4) + 1, g(x) = -2|(2|((-1(-5(-4x^2 - 1x - 5)^2 + 3(-4x^2 - 1x - 5) - 4) + 2)/(-1(-5(-4x^2 - 1x - 5)^2 + 3(-4x^2 - 1x - 5) - 4) - 2)) - 3| + 1)| + 1, x = 0.2, and x = 0.3. Round your answer to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = 1(-1|(-1((2(1((1x + 2)/(2x - 3))^2 - 3((1x + 2)/(2x - 3)) + 1) + 3)/(1(1((1x + 2)/(2x - 3))^2 - 3((1x + 2)/(2x - 3)) + 1) + 1)) - 5)| + 2)^2 - 5(-1|(-1((2(1((1x + 2)/(2x - 3))^2 - 3((1x + 2)/(2x - 3)) + 1) + 3)/(1(1((1x + 2)/(2x - 3))^2 - 3((1x + 2)/(2x - 3)) + 1) + 1)) - 5)| + 2) and g(x) = 2sin(1π(-3(1((2(-1|x| - 2) + 1)/(-2(-1|x| - 2) - 1))^2 + 4((2(-1|x| - 2) + 1)/(-2(-1|x| - 2) - 1)) - 5) + 3) + 3) + 2 from x = 3.7 to x = 4.3. Round to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = (2((3(1|((1(-5(-3|x + 2| + 2) + 3) - 3)/(-2(-5(-3|x + 2| + 2) + 3) + 1)) - 1| - 2))/(-1(1|((1(-5(-3|x + 2| + 2) + 3) - 3)/(-2(-5(-3|x + 2| + 2) + 3) + 1)) - 1| - 2) + 2)) - 3)/(-3((3(1|((1(-5(-3|x + 2| + 2) + 3) - 3)/(-2(-5(-3|x + 2| + 2) + 3) + 1)) - 1| - 2))/(-1(1|((1(-5(-3|x + 2| + 2) + 3) - 3)/(-2(-5(-3|x + 2| + 2) + 3) + 1)) - 1| - 2) + 2)) + 2), g(x) = -1(3sin(1π((1((3((-1x - 1)/(1x)) - 2)/(-2((-1x - 1)/(1x)) - 3)) + 2)/(1((3((-1x - 1)/(1x)) - 2)/(-2((-1x - 1)/(1x)) - 3)) - 2)))) + 3, x = -2.4, and x = -1.6. Round your answer to 1 decimal place.

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

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = -3(-3|(-4(5((1(2x^2 - 5x + 2))/(-3(2x^2 - 5x + 2) - 2))^2 - 2((1(2x^2 - 5x + 2))/(-3(2x^2 - 5x + 2) - 2)) - 5) - 1) + 3| + 1) + 1 and g(x) = 1cos(1π(-2|(5((2(2|x - 2| - 3))/(-1(2|x - 2| - 3) + 3)) + 1) - 3| - 1) - 3) - 1 between the vertical lines x = 1.1 and 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) = 4(-2(2|(-3((2(-3|x + 2| + 1) + 3)/(-1(-3|x + 2| + 1) + 3)) - 5) + 1| + 2)) - 2 and g(x) = -4(2cos(2π(-1((3((2x + 3)/(-2x - 3)) - 1)/(2((2x + 3)/(-2x - 3)) - 1)) - 4)) - 2)^2 - 1(2cos(2π(-1((3((2x + 3)/(-2x - 3)) - 1)/(2((2x + 3)/(-2x - 3)) - 1)) - 4)) - 2) between the vertical lines x = -4.4 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) = 1((3(3(5(1((-2x)/(2x - 1))^2 + 3((-2x)/(2x - 1)) - 3)^2 + 5(1((-2x)/(2x - 1))^2 + 3((-2x)/(2x - 1)) - 3) + 1) - 4) - 1)/(2(3(5(1((-2x)/(2x - 1))^2 + 3((-2x)/(2x - 1)) - 3)^2 + 5(1((-2x)/(2x - 1))^2 + 3((-2x)/(2x - 1)) - 3) + 1) - 4) - 3))^2 + 5((3(3(5(1((-2x)/(2x - 1))^2 + 3((-2x)/(2x - 1)) - 3)^2 + 5(1((-2x)/(2x - 1))^2 + 3((-2x)/(2x - 1)) - 3) + 1) - 4) - 1)/(2(3(5(1((-2x)/(2x - 1))^2 + 3((-2x)/(2x - 1)) - 3)^2 + 5(1((-2x)/(2x - 1))^2 + 3((-2x)/(2x - 1)) - 3) + 1) - 4) - 3)) - 5 and g(x) = (2(-1((-2(-3e^(-2(-5x^2 - 1x + 5))) + 2)/(-2(-3e^(-2(-5x^2 - 1x + 5))))) - 4) - 2)/(1(-1((-2(-3e^(-2(-5x^2 - 1x + 5))) + 2)/(-2(-3e^(-2(-5x^2 - 1x + 5))))) - 4) + 2) between the vertical lines x = 0.2 and x = 0.7. Round to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = -2(3|(-2(1(-2|((-1x + 1)/(1x + 2))| - 1))^2 + 3(1(-2|((-1x + 1)/(1x + 2))| - 1)) + 3) + 2| - 2)^2 + 5(3|(-2(1(-2|((-1x + 1)/(1x + 2))| - 1))^2 + 3(1(-2|((-1x + 1)/(1x + 2))| - 1)) + 3) + 2| - 2) - 1 and g(x) = 1e^(2(-3((2(-2(2x - 1)^2 + 3(2x - 1) - 3) + 1)/(-2(-2(2x - 1)^2 + 3(2x - 1) - 3) + 1))^2 + 2((2(-2(2x - 1)^2 + 3(2x - 1) - 3) + 1)/(-2(-2(2x - 1)^2 + 3(2x - 1) - 3) + 1)))) between the vertical lines x = 0.8 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) = 1(5(3cos(3π(-3(-1|((-3x + 2)/(-2x - 3))| + 1) + 4) - 2) - 2) + 3)^2 + 5(5(3cos(3π(-3(-1|((-3x + 2)/(-2x - 3))| + 1) + 4) - 2) - 2) + 3) - 2, g(x) = -1(2|(-3(5(1x - 2) + 1)^2 + 3(5(1x - 2) + 1)) - 2| + 1)^2 + 5(2|(-3(5(1x - 2) + 1)^2 + 3(5(1x - 2) + 1)) - 2| + 1) + 4, x = 2.0, and x = 2.1. 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(-1sin(2π(-2|(-1|(2|(1|x - 2| - 2) - 3| + 2) + 1| - 3) - 3| + 3) - 3) + 1)^2 + 5(-1sin(2π(-2|(-1|(2|(1|x - 2| - 2) - 3| + 2) + 1| - 3) - 3| + 3) - 3) + 1) + 1, g(x) = 2(-3(1cos(3π(-1(-1|x + 3| - 1)^2 - 4(-1|x + 3| - 1) + 3) - 2) + 2)^2 + 5(1cos(3π(-1(-1|x + 3| - 1)^2 - 4(-1|x + 3| - 1) + 3) - 2) + 2) + 3)^2 - 5(-3(1cos(3π(-1(-1|x + 3| - 1)^2 - 4(-1|x + 3| - 1) + 3) - 2) + 2)^2 + 5(1cos(3π(-1(-1|x + 3| - 1)^2 - 4(-1|x + 3| - 1) + 3) - 2) + 2) + 3) - 5, x = 1.2, and x = 1.3. Round your answer to 1 decimal place.

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


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

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = -2((-1((-1(-4((2(-4x) - 2)/(2(-4x) - 3))^2 - 5((2(-4x) - 2)/(2(-4x) - 3)) + 3) + 1)/(-1(-4((2(-4x) - 2)/(2(-4x) - 3))^2 - 5((2(-4x) - 2)/(2(-4x) - 3)) + 3) - 1)) + 3)/(1((-1(-4((2(-4x) - 2)/(2(-4x) - 3))^2 - 5((2(-4x) - 2)/(2(-4x) - 3)) + 3) + 1)/(-1(-4((2(-4x) - 2)/(2(-4x) - 3))^2 - 5((2(-4x) - 2)/(2(-4x) - 3)) + 3) - 1)) + 2))^2 + 3((-1((-1(-4((2(-4x) - 2)/(2(-4x) - 3))^2 - 5((2(-4x) - 2)/(2(-4x) - 3)) + 3) + 1)/(-1(-4((2(-4x) - 2)/(2(-4x) - 3))^2 - 5((2(-4x) - 2)/(2(-4x) - 3)) + 3) - 1)) + 3)/(1((-1(-4((2(-4x) - 2)/(2(-4x) - 3))^2 - 5((2(-4x) - 2)/(2(-4x) - 3)) + 3) + 1)/(-1(-4((2(-4x) - 2)/(2(-4x) - 3))^2 - 5((2(-4x) - 2)/(2(-4x) - 3)) + 3) - 1)) + 2)) - 4 and g(x) = -3cos(1π(4(-2|(-1|(2|x - 1|) - 1| - 1) - 3| - 1) - 4) - 1) - 1 between the vertical lines x = -2.3 and x = -2.2. Round to 1 decimal place.

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

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[User]
Find the area of the region bounded by the curves f(x) = 1((-3(-1sin(2π((2(-2|(-2|x| + 1) + 3| - 3) - 2)/(-3(-2|(-2|x| + 1) + 3| - 3) + 2)) - 1) - 1) - 1)/(1(-1sin(2π((2(-2|(-2|x| + 1) + 3| - 3) - 2)/(-3(-2|(-2|x| + 1) + 3| - 3) + 2)) - 1) - 1) + 1)) + 3, g(x) = 2|(5((3(5(-1x + 5) - 2) - 3)/(1(5(-1x + 5) - 2) + 3)) - 2) - 1| - 3, x = 4.2, and x = 4.3. Round your answer to 1 decimal place.

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


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

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[User]
Find the area of the region bounded by the curves f(x) = (3(3|(2cos(1π(-4(-2|(3x - 1) - 2|) + 2) - 2)) + 1|) - 1)/(1(3|(2cos(1π(-4(-2|(3x - 1) - 2|) + 2) - 2)) + 1|)), g(x) = -5(1|(-1((-2(-1x^2 + 3x + 4) + 3)/(-2(-1x^2 + 3x + 4))) + 3) - 2|)^2 - 5(1|(-1((-2(-1x^2 + 3x + 4) + 3)/(-2(-1x^2 + 3x + 4))) + 3) - 2|) - 3, x = -2.6, 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) = 2|((-2(-3(4(-1|(1x^2 + 4x - 3) - 3| + 2) + 2)) + 1)/(1(-3(4(-1|(1x^2 + 4x - 3) - 3| + 2) + 2)) - 2))| - 1 and g(x) = (-2(1(-5((1((-3x + 2)/(-2x)) - 1)/(3((-3x + 2)/(-2x)) + 1)) + 3) - 1) - 2)/(2(1(-5((1((-3x + 2)/(-2x)) - 1)/(3((-3x + 2)/(-2x)) + 1)) + 3) - 1) - 3) from x = -4.7 to x = -0.5. Round to 1 decimal place.

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

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[User]
Calculate the area enclosed between the functions f(x) = 3cos(2π(-4(-1(2(-2(3|x + 2| - 2))^2 - 1(-2(3|x + 2| - 2)) - 4) + 3) - 2) - 2) + 2 and g(x) = 1cos(1π((2(2(-3|(1|x - 2| + 1) + 1| - 2) + 4) + 2)/(2(2(-3|(1|x - 2| + 1) + 1| - 2) + 4) + 1)) + 2) - 1 from x = 0.1 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) = -3((2((-2(-2|(3|(2e^(-2x) + 1) + 3|) - 2| + 1))/(-3(-2|(3|(2e^(-2x) + 1) + 3|) - 2| + 1) + 4)) - 2)/(3((-2(-2|(3|(2e^(-2x) + 1) + 3|) - 2| + 1))/(-3(-2|(3|(2e^(-2x) + 1) + 3|) - 2| + 1) + 4))))^2 - 1((2((-2(-2|(3|(2e^(-2x) + 1) + 3|) - 2| + 1))/(-3(-2|(3|(2e^(-2x) + 1) + 3|) - 2| + 1) + 4)) - 2)/(3((-2(-2|(3|(2e^(-2x) + 1) + 3|) - 2| + 1))/(-3(-2|(3|(2e^(-2x) + 1) + 3|) - 2| + 1) + 4)))) - 2 and g(x) = -1|((-1(1|(4((2x + 3)/(1x))^2 - 2((2x + 3)/(1x)) - 3) + 1| - 1) + 2)/(2(1|(4((2x + 3)/(1x))^2 - 2((2x + 3)/(1x)) - 3) + 1| - 1) - 3)) - 2| - 1 between the vertical lines x = -4.6 and x = -1.0. Round to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = (-3(4(-4(-1(-2|(2|x + 2| - 1) + 1| + 2) - 2)^2 - 2)^2 - 2) + 2)/(-2(4(-4(-1(-2|(2|x + 2| - 1) + 1| + 2) - 2)^2 - 2)^2 - 2) - 3), g(x) = -3(3cos(1π(-1|(-4(2|x| - 1) + 2) + 2| + 3) + 1) + 3)^2 + 5(3cos(1π(-1|(-4(2|x| - 1) + 2) + 2| + 3) + 1) + 3) + 1, x = -3.0, 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) = -3|(-3e^(-1(4(-2|((-1(1x - 3) + 1)/(-1(1x - 3) + 2)) - 1| - 2)^2 + 3(-2|((-1(1x - 3) + 1)/(-1(1x - 3) + 2)) - 1| - 2) - 4)) - 3) + 1| + 1, g(x) = -2(-1|(-5(-2(2|x + 1| - 2) + 1) - 3)|)^2 - 3(-1|(-5(-2(2|x + 1| - 2) + 1) - 3)|) - 3, x = 0.3, and x = 0.5. Round your answer to 1 decimal place.

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

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[User]
Determine the area of the region enclosed by the graphs of f(x) = 3(-2e^(1(-3(2(3|(-5x - 1) - 1| - 1) - 1)^2 - 4(2(3|(-5x - 1) - 1| - 1) - 1) - 1)) + 2)^2 - 3(-2e^(1(-3(2(3|(-5x - 1) - 1| - 1) - 1)^2 - 4(2(3|(-5x - 1) - 1| - 1) - 1) - 1)) + 2) + 2 and g(x) = 2(-2e^(1(4(1|(2x + 1) + 2| - 2) + 1)) + 3)^2 + 5(-2e^(1(4(1|(2x + 1) + 2| - 2) + 1)) + 3) - 5 between the vertical lines x = -2.3 and x = -0.7. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = 4(3cos(2π(-5((1(3|(1x) - 3| - 3) + 2)/(2(3|(1x) - 3| - 3) + 1)) - 1)) + 2) - 5 and g(x) = (-3(-4(4((1(2sin(3πx) - 3) + 3)/(-3(2sin(3πx) - 3) - 2))^2 - 3((1(2sin(3πx) - 3) + 3)/(-3(2sin(3πx) - 3) - 2)) - 4) + 2) + 2)/(-1(-4(4((1(2sin(3πx) - 3) + 3)/(-3(2sin(3πx) - 3) - 2))^2 - 3((1(2sin(3πx) - 3) + 3)/(-3(2sin(3πx) - 3) - 2)) - 4) + 2) + 2) from x = 3.5 to x = 3.6. 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(3(2|(1|x - 3|) - 1| - 2) + 4)^2 + 1(3(2|(1|x - 3|) - 1| - 2) + 4) + 4) + 1)/(-3(-3(3(2|(1|x - 3|) - 1| - 2) + 4)^2 + 1(3(2|(1|x - 3|) - 1| - 2) + 4) + 4) - 2)) - 2)/(2((-1(-3(3(2|(1|x - 3|) - 1| - 2) + 4)^2 + 1(3(2|(1|x - 3|) - 1| - 2) + 4) + 4) + 1)/(-3(-3(3(2|(1|x - 3|) - 1| - 2) + 4)^2 + 1(3(2|(1|x - 3|) - 1| - 2) + 4) + 4) - 2)) - 1) and g(x) = -2((-2(-5(2e^(1((2x + 2)/(-3x - 1))) - 2) - 1) - 3)/(-1(-5(2e^(1((2x + 2)/(-3x - 1))) - 2) - 1) + 2)) - 4 between the vertical lines x = 3.9 and x = 4.1. Round to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = 2|(2|(1(-1e^(-1(-1|(1x^2 - 4x - 3) + 2| - 3)) - 1) + 3) + 2| + 3) - 2| + 3, g(x) = 1|(-4(-3|(3|(1cos(3πx + 1) - 1) - 3| + 2) - 3| + 3) + 3) - 3| + 1, x = 4.1, and x = 4.4. 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(1((1x - 3)/(1x + 2))) - 3)/(3(1((1x - 3)/(1x + 2))) - 2)) + 4) - 5) - 1)/(1(1(-3((-2(1((1x - 3)/(1x + 2))) - 3)/(3(1((1x - 3)/(1x + 2))) - 2)) + 4) - 5) - 2) and g(x) = -3|(1|(3(-1|((2x - 3)/(2x))| + 2)^2 + 4(-1|((2x - 3)/(2x))| + 2) - 4) + 1| - 2) - 1| + 3 from x = 0.3 to x = 0.4. Round to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = (-2((-3(-2|(1(-3e^(-1(1|x - 2| + 1)) - 2)^2 + 4(-3e^(-1(1|x - 2| + 1)) - 2) + 4) - 1|) + 2)/(-3(-2|(1(-3e^(-1(1|x - 2| + 1)) - 2)^2 + 4(-3e^(-1(1|x - 2| + 1)) - 2) + 4) - 1|) - 3)) - 2)/(3((-3(-2|(1(-3e^(-1(1|x - 2| + 1)) - 2)^2 + 4(-3e^(-1(1|x - 2| + 1)) - 2) + 4) - 1|) + 2)/(-3(-2|(1(-3e^(-1(1|x - 2| + 1)) - 2)^2 + 4(-3e^(-1(1|x - 2| + 1)) - 2) + 4) - 1|) - 3)) + 3) and g(x) = -2(3(-2(-1((-3x - 2)/(-1x - 1)) + 1) + 3) + 3)^2 - 3(3(-2(-1((-3x - 2)/(-1x - 1)) + 1) + 3) + 3) + 3 between the vertical lines x = -0.8 and 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) = (3(1(-1sin(1π(2(4(-3x^2 + 3x - 3)^2 - 4(-3x^2 + 3x - 3) - 3)^2 - 4(4(-3x^2 + 3x - 3)^2 - 4(-3x^2 + 3x - 3) - 3) + 1) - 3) + 2)^2 + 4(-1sin(1π(2(4(-3x^2 + 3x - 3)^2 - 4(-3x^2 + 3x - 3) - 3)^2 - 4(4(-3x^2 + 3x - 3)^2 - 4(-3x^2 + 3x - 3) - 3) + 1) - 3) + 2)) + 2)/(1(1(-1sin(1π(2(4(-3x^2 + 3x - 3)^2 - 4(-3x^2 + 3x - 3) - 3)^2 - 4(4(-3x^2 + 3x - 3)^2 - 4(-3x^2 + 3x - 3) - 3) + 1) - 3) + 2)^2 + 4(-1sin(1π(2(4(-3x^2 + 3x - 3)^2 - 4(-3x^2 + 3x - 3) - 3)^2 - 4(4(-3x^2 + 3x - 3)^2 - 4(-3x^2 + 3x - 3) - 3) + 1) - 3) + 2)) - 3), g(x) = 3|((3(-2cos(1π(5(1x^2 - 5x - 3)^2 - 5(1x^2 - 5x - 3) - 4) + 3) - 3) - 2)/(-1(-2cos(1π(5(1x^2 - 5x - 3)^2 - 5(1x^2 - 5x - 3) - 4) + 3) - 3) + 2)) + 1| + 3, x = 0.9, 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) = 5(-3|(-1(-3(1e^(2(5x + 1)) - 3) - 3) + 4) + 2| - 1)^2 + 2(-3|(-1(-3(1e^(2(5x + 1)) - 3) - 3) + 4) + 2| - 1) + 5 and g(x) = (3(-4(1sin(3π(3|((-1x + 3)/(-3x - 1))| - 3) - 1) - 2) - 5) - 1)/(-2(-4(1sin(3π(3|((-1x + 3)/(-3x - 1))| - 3) - 1) - 2) - 5) - 1) between the vertical lines x = -1.2 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) = (-2((3((-1(5(-5(-1|x + 3| - 3)^2 + 3(-1|x + 3| - 3) + 2) - 4) - 1)/(-3(5(-5(-1|x + 3| - 3)^2 + 3(-1|x + 3| - 3) + 2) - 4) + 4)) + 1)/(1((-1(5(-5(-1|x + 3| - 3)^2 + 3(-1|x + 3| - 3) + 2) - 4) - 1)/(-3(5(-5(-1|x + 3| - 3)^2 + 3(-1|x + 3| - 3) + 2) - 4) + 4)) - 2)) + 1)/(2((3((-1(5(-5(-1|x + 3| - 3)^2 + 3(-1|x + 3| - 3) + 2) - 4) - 1)/(-3(5(-5(-1|x + 3| - 3)^2 + 3(-1|x + 3| - 3) + 2) - 4) + 4)) + 1)/(1((-1(5(-5(-1|x + 3| - 3)^2 + 3(-1|x + 3| - 3) + 2) - 4) - 1)/(-3(5(-5(-1|x + 3| - 3)^2 + 3(-1|x + 3| - 3) + 2) - 4) + 4)) - 2)) + 2) and g(x) = -2((1(-1cos(2π(3(-3x^2 - 1)^2 - 2(-3x^2 - 1)) + 2) + 1) - 1)/(-1(-1cos(2π(3(-3x^2 - 1)^2 - 2(-3x^2 - 1)) + 2) + 1))) - 1 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) = 2|(1|(1sin(2π(-2(1(-4x^2 - 2x - 3) - 2)^2 + 4(1(-4x^2 - 2x - 3) - 2) + 3) + 1) - 1)|)| - 2 and g(x) = (2(-5(-2|(-4(1|x - 3| + 3) - 3) + 3| + 1)^2 - 1(-2|(-4(1|x - 3| + 3) - 3) + 3| + 1) - 2) + 3)/(2(-5(-2|(-4(1|x - 3| + 3) - 3) + 3| + 1)^2 - 1(-2|(-4(1|x - 3| + 3) - 3) + 3| + 1) - 2)) from x = -4.6 to x = -4.5. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = (2(-4(-1(-3(3(-2e^(2x) + 1) + 4)^2 - 3(3(-2e^(2x) + 1) + 4) + 3) - 5)^2 - 1(-1(-3(3(-2e^(2x) + 1) + 4)^2 - 3(3(-2e^(2x) + 1) + 4) + 3) - 5) - 1) + 2)/(1(-4(-1(-3(3(-2e^(2x) + 1) + 4)^2 - 3(3(-2e^(2x) + 1) + 4) + 3) - 5)^2 - 1(-1(-3(3(-2e^(2x) + 1) + 4)^2 - 3(3(-2e^(2x) + 1) + 4) + 3) - 5) - 1) + 3) and g(x) = (1((-3((1(2|(5x + 2) + 2| - 1) - 3)/(-1(2|(5x + 2) + 2| - 1) - 1)))/(-2((1(2|(5x + 2) + 2| - 1) - 3)/(-1(2|(5x + 2) + 2| - 1) - 1)) - 3)) + 1)/(2((-3((1(2|(5x + 2) + 2| - 1) - 3)/(-1(2|(5x + 2) + 2| - 1) - 1)))/(-2((1(2|(5x + 2) + 2| - 1) - 3)/(-1(2|(5x + 2) + 2| - 1) - 1)) - 3)) - 1) from x = -0.0 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) = (3(-1(2|(-3sin(2π(-5(-2|x - 1| + 2) + 5) - 3) + 2) - 2| + 2)^2 + 3(2|(-3sin(2π(-5(-2|x - 1| + 2) + 5) - 3) + 2) - 2| + 2) + 5) - 3)/(3(-1(2|(-3sin(2π(-5(-2|x - 1| + 2) + 5) - 3) + 2) - 2| + 2)^2 + 3(2|(-3sin(2π(-5(-2|x - 1| + 2) + 5) - 3) + 2) - 2| + 2) + 5) + 3) and g(x) = 3|(3(2|((-2(-3|x + 2| + 1))/(-1(-3|x + 2| + 1) + 3)) - 2| + 3) - 4) + 2| + 2 between the vertical lines x = 1.2 and 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) = 2(1(-4((-3(-2(-3|x + 2| + 1) - 1) - 3)/(-2(-2(-3|x + 2| + 1) - 1) - 3))^2 - 4((-3(-2(-3|x + 2| + 1) - 1) - 3)/(-2(-2(-3|x + 2| + 1) - 1) - 3))) + 5) - 5, g(x) = (2(-1e^(1(1|(4(3x - 1) - 5) + 2| + 3)) - 3) + 3)/(2(-1e^(1(1|(4(3x - 1) - 5) + 2| + 3)) - 3) + 1), x = -2.3, 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) = -1sin(2π(-2((-1((-1(2|(-2|x - 1| + 3) + 2| + 2) - 1)/(-3(2|(-2|x - 1| + 3) + 2| + 2) - 2)))/(-3((-1(2|(-2|x - 1| + 3) + 2| + 2) - 1)/(-3(2|(-2|x - 1| + 3) + 2| + 2) - 2)) - 2))^2 + 3((-1((-1(2|(-2|x - 1| + 3) + 2| + 2) - 1)/(-3(2|(-2|x - 1| + 3) + 2| + 2) - 2)))/(-3((-1(2|(-2|x - 1| + 3) + 2| + 2) - 1)/(-3(2|(-2|x - 1| + 3) + 2| + 2) - 2)) - 2)) - 1) - 2) + 2 and g(x) = 1(2|(-4(1(1|x| + 2)^2 - 2(1|x| + 2))) + 1| + 1) - 5 from x = -0.4 to x = 0.4. Round to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = 1(-1|((-1(-1|(-1|(-3cos(1πx - 1) - 2) - 2| + 2) + 1| + 1) - 1)/(1(-1|(-1|(-3cos(1πx - 1) - 2) - 2| + 2) + 1| + 1))) + 3| + 2)^2 + 4(-1|((-1(-1|(-1|(-3cos(1πx - 1) - 2) - 2| + 2) + 1| + 1) - 1)/(1(-1|(-1|(-3cos(1πx - 1) - 2) - 2| + 2) + 1| + 1))) + 3| + 2) + 3 and g(x) = -1|(-5(-3sin(2π(5(5x^2 + 4x + 2)^2 - 2(5x^2 + 4x + 2) + 1) - 2) + 2) - 4) - 3| + 2 between the vertical lines x = -2.6 and x = -2.5. 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(-2|(4(-2e^(2(2|x - 2| - 2)) - 1)^2 + 1(-2e^(2(2|x - 2| - 2)) - 1) + 3) + 1| - 1)^2 - 4(-2|(4(-2e^(2(2|x - 2| - 2)) - 1)^2 + 1(-2e^(2(2|x - 2| - 2)) - 1) + 3) + 1| - 1) + 1) + 2)/(-3(-4(-2|(4(-2e^(2(2|x - 2| - 2)) - 1)^2 + 1(-2e^(2(2|x - 2| - 2)) - 1) + 3) + 1| - 1)^2 - 4(-2|(4(-2e^(2(2|x - 2| - 2)) - 1)^2 + 1(-2e^(2(2|x - 2| - 2)) - 1) + 3) + 1| - 1) + 1) + 2) and g(x) = -1(3cos(1π(1(-3((-2x + 1)/(-2x + 3)) - 3)^2 - 3(-3((-2x + 1)/(-2x + 3)) - 3) + 4)) + 3) - 1 between the vertical lines x = 3.5 and x = 3.6. Round to 1 decimal place.

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

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Calculate the area enclosed between the functions f(x) = -3(2|(-2sin(3π(-3|((-2(5x + 4) + 3)/(3(5x + 4) + 1))| - 1) - 1) + 3)| + 3) + 4 and g(x) = -4(2sin(1π(3|(-1|(-1x)| + 2)| - 2)))^2 - 5(2sin(1π(3|(-1|(-1x)| + 2)| - 2))) + 2 from x = -2.2 to 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) = 3(-4(-1(2((-2(1|x - 2| - 1))/(-3(1|x - 2| - 1) - 1)))^2 + 4(2((-2(1|x - 2| - 1))/(-3(1|x - 2| - 1) - 1))) - 1)) + 2, g(x) = 4((2((-1(-3(-3x - 3) + 4) - 3)/(2(-3(-3x - 3) + 4) + 1)) - 1)/(2((-1(-3(-3x - 3) + 4) - 3)/(2(-3(-3x - 3) + 4) + 1)) + 1))^2 + 2((2((-1(-3(-3x - 3) + 4) - 3)/(2(-3(-3x - 3) + 4) + 1)) - 1)/(2((-1(-3(-3x - 3) + 4) - 3)/(2(-3(-3x - 3) + 4) + 1)) + 1)) + 1, 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) = (-1((1(1(2|(-5(1e^(1x))^2 - 5) - 3| + 3)) + 3)/(1(1(2|(-5(1e^(1x))^2 - 5) - 3| + 3)))) + 2)/(-2((1(1(2|(-5(1e^(1x))^2 - 5) - 3| + 3)) + 3)/(1(1(2|(-5(1e^(1x))^2 - 5) - 3| + 3)))) + 3) and g(x) = 2e^(2(4(2|(3|((-3x - 1)/(-1x + 2)) + 1|) + 1| - 2) - 4)) + 1 from x = 0.2 to x = 0.3. Round to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = -1|(-4(3cos(2π((3((3(3x^2 - 3x + 5) - 3)/(-1(3x^2 - 3x + 5) - 1)) - 2)/(-2((3(3x^2 - 3x + 5) - 3)/(-1(3x^2 - 3x + 5) - 1)) - 2)) - 1) - 2) - 4) - 3| + 1, g(x) = (2(-5((1(3(-1x^2 - 2x + 1) - 1) - 1)/(-3(3(-1x^2 - 2x + 1) - 1)))^2 - 4((1(3(-1x^2 - 2x + 1) - 1) - 1)/(-3(3(-1x^2 - 2x + 1) - 1))) - 2) - 1)/(-2(-5((1(3(-1x^2 - 2x + 1) - 1) - 1)/(-3(3(-1x^2 - 2x + 1) - 1)))^2 - 4((1(3(-1x^2 - 2x + 1) - 1) - 1)/(-3(3(-1x^2 - 2x + 1) - 1))) - 2) + 3), x = -0.4, 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|(-2cos(2π(1((-2((1(2|x + 2| + 3) - 3)/(3(2|x + 2| + 3) - 2)))/(-3((1(2|x + 2| + 3) - 3)/(3(2|x + 2| + 3) - 2)) - 1))^2 - 1((-2((1(2|x + 2| + 3) - 3)/(3(2|x + 2| + 3) - 2)))/(-3((1(2|x + 2| + 3) - 3)/(3(2|x + 2| + 3) - 2)) - 1)) - 5) - 1) - 3) + 2| - 1 and g(x) = 2sin(1π(2|(-1|((1((-3x + 2)/(2x)) + 3)/(-3((-3x + 2)/(2x)) + 2)) - 2| - 2) + 3| + 2)) + 2 from x = -1.6 to x = 3.9. Round to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = -1((3((2(4(-1|((3x + 1)/(-3x - 2)) + 2| + 3)^2 - 1(-1|((3x + 1)/(-3x - 2)) + 2| + 3) - 4) + 2)/(-3(4(-1|((3x + 1)/(-3x - 2)) + 2| + 3)^2 - 1(-1|((3x + 1)/(-3x - 2)) + 2| + 3) - 4) + 1)) + 3)/(-1((2(4(-1|((3x + 1)/(-3x - 2)) + 2| + 3)^2 - 1(-1|((3x + 1)/(-3x - 2)) + 2| + 3) - 4) + 2)/(-3(4(-1|((3x + 1)/(-3x - 2)) + 2| + 3)^2 - 1(-1|((3x + 1)/(-3x - 2)) + 2| + 3) - 4) + 1)))) - 3 and g(x) = -1sin(2π((1(1((-1(3|x + 3| - 2) + 3)/(-3(3|x + 3| - 2) - 3)) + 5) + 3)/(-1(1((-1(3|x + 3| - 2) + 3)/(-3(3|x + 3| - 2) - 3)) + 5) + 2)) + 1) + 2 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(-1(-2|(-3(-1(1x - 2)^2 - 4(1x - 2) + 1)) + 3|) - 5) - 2)/(2(-1(-2|(-3(-1(1x - 2)^2 - 4(1x - 2) + 1)) + 3|) - 5) - 1) and g(x) = 1(1|(-3|(2(-1|x - 2| + 2) - 1) - 2| - 2) - 3| + 1) - 5 from x = 1.8 to x = 2.2. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = 2sin(1π(3|(-1(2(2|((3x - 1)/(-3x - 2)) + 3| - 3)^2 - 2)) - 2| - 1) + 2) - 2 and g(x) = -3(1(5(-4(1x + 4) - 3)^2 + 3(-4(1x + 4) - 3) - 3) - 1) - 1 from x = -4.9 to x = -4.4. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = -2(3(-2(1(5(3|x| - 1) + 3) + 2) + 4) + 4)^2 + 5(3(-2(1(5(3|x| - 1) + 3) + 2) + 4) + 4) - 5 and g(x) = 3cos(1π(-1|(-1(3|((-1x - 2)/(-1x + 2)) + 3| - 3)^2 + 2(3|((-1x - 2)/(-1x + 2)) + 3| - 3) - 4) + 2| - 2)) - 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) = 3sin(2π((1(-2(2(-2(1x + 2)^2 - 1(1x + 2) + 5))^2 + 5(2(-2(1x + 2)^2 - 1(1x + 2) + 5)) - 4) + 2)/(3(-2(2(-2(1x + 2)^2 - 1(1x + 2) + 5))^2 + 5(2(-2(1x + 2)^2 - 1(1x + 2) + 5)) - 4) - 2)) + 2) - 1 and g(x) = (1(-1|(2|(-1|(1x) + 3| - 1) + 3| + 2) - 3| - 2) - 2)/(-2(-1|(2|(-1|(1x) + 3| - 1) + 3| + 2) - 3| - 2) - 1) between the vertical lines x = -3.9 and x = -3.6. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = -1|(2(-3|((-1(-1(4x + 1) + 1) + 3)/(-2(-1(4x + 1) + 1) + 3)) + 1| + 3) - 3) - 1| + 1 and g(x) = (-3(5(1|(-2|(1x - 1) - 1| + 1) - 1|)^2 + 4(1|(-2|(1x - 1) - 1| + 1) - 1|) - 2) + 2)/(-2(5(1|(-2|(1x - 1) - 1| + 1) - 1|)^2 + 4(1|(-2|(1x - 1) - 1| + 1) - 1|) - 2) + 3) from x = 1.7 to x = 2.3. Round to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = 2(1(3cos(3π((-3(4((-2x + 1)/(-2x - 2))^2 + 4((-2x + 1)/(-2x - 2)) + 2) + 3)/(-1(4((-2x + 1)/(-2x - 2))^2 + 4((-2x + 1)/(-2x - 2)) + 2) + 2)) - 2) - 1)^2 - 2(3cos(3π((-3(4((-2x + 1)/(-2x - 2))^2 + 4((-2x + 1)/(-2x - 2)) + 2) + 3)/(-1(4((-2x + 1)/(-2x - 2))^2 + 4((-2x + 1)/(-2x - 2)) + 2) + 2)) - 2) - 1) - 3) + 2 and g(x) = 1|(2sin(2π(-1(5((-2x + 1)/(1x + 3)) + 2)^2 + 2) + 2) - 2) + 2| 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) = 2|(-2|(-2|((1(-4((-2x)/(-3x + 4)) + 3) - 2)/(-2(-4((-2x)/(-3x + 4)) + 3) - 3)) + 3|) + 2|) + 3| - 2 and g(x) = (-2(1e^(-1(5((1(-4x^2 + 4x) - 1)/(-3(-4x^2 + 4x) + 1))^2 + 2((1(-4x^2 + 4x) - 1)/(-3(-4x^2 + 4x) + 1)) - 1)) - 2) - 1)/(2(1e^(-1(5((1(-4x^2 + 4x) - 1)/(-3(-4x^2 + 4x) + 1))^2 + 2((1(-4x^2 + 4x) - 1)/(-3(-4x^2 + 4x) + 1)) - 1)) - 2) - 3) from x = 2.6 to x = 2.8. Round to 1 decimal place.

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

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[User]
Find the area of the region bounded by the curves f(x) = 2sin(3π(2(-3(-4(-1|(2|x - 3| + 1) + 3|)^2 + 4(-1|(2|x - 3| + 1) + 3|) - 2)^2 - 3(-4(-1|(2|x - 3| + 1) + 3|)^2 + 4(-1|(2|x - 3| + 1) + 3|) - 2)) - 4) - 3) + 1, g(x) = (1(-3|((-2(-2|((1x)/(2x)) + 2| - 3))/(-3(-2|((1x)/(2x)) + 2| - 3))) - 3| - 1) + 2)/(1(-3|((-2(-2|((1x)/(2x)) + 2| - 3))/(-3(-2|((1x)/(2x)) + 2| - 3))) - 3| - 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((2(-2(3|(2|(-4x^2 - 5x + 4) - 3| + 1) - 1|)^2 - 1(3|(2|(-4x^2 - 5x + 4) - 3| + 1) - 1|) + 3) - 2)/(1(-2(3|(2|(-4x^2 - 5x + 4) - 3| + 1) - 1|)^2 - 1(3|(2|(-4x^2 - 5x + 4) - 3| + 1) - 1|) + 3) - 3)) - 1)/(-3((2(-2(3|(2|(-4x^2 - 5x + 4) - 3| + 1) - 1|)^2 - 1(3|(2|(-4x^2 - 5x + 4) - 3| + 1) - 1|) + 3) - 2)/(1(-2(3|(2|(-4x^2 - 5x + 4) - 3| + 1) - 1|)^2 - 1(3|(2|(-4x^2 - 5x + 4) - 3| + 1) - 1|) + 3) - 3)) - 1), g(x) = -4((3(1((-3(2|x| - 2) - 1)/(-1(2|x| - 2) + 2))^2 - 3((-3(2|x| - 2) - 1)/(-1(2|x| - 2) + 2)) - 3) - 2)/(-2(1((-3(2|x| - 2) - 1)/(-1(2|x| - 2) + 2))^2 - 3((-3(2|x| - 2) - 1)/(-1(2|x| - 2) + 2)) - 3) + 1)) - 1, x = -1.1, and x = 1.1. 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) = -3((2(-2((3(4(-5x - 1)^2 + 1(-5x - 1) + 5) - 3)/(1(4(-5x - 1)^2 + 1(-5x - 1) + 5) - 3))^2 - 2((3(4(-5x - 1)^2 + 1(-5x - 1) + 5) - 3)/(1(4(-5x - 1)^2 + 1(-5x - 1) + 5) - 3)) - 5) - 2)/(-1(-2((3(4(-5x - 1)^2 + 1(-5x - 1) + 5) - 3)/(1(4(-5x - 1)^2 + 1(-5x - 1) + 5) - 3))^2 - 2((3(4(-5x - 1)^2 + 1(-5x - 1) + 5) - 3)/(1(4(-5x - 1)^2 + 1(-5x - 1) + 5) - 3)) - 5) + 2)) + 3 and g(x) = 2|(-1|(-3(-2|(-2x + 5) - 2| + 1)^2 - 1(-2|(-2x + 5) - 2| + 1) + 3) - 3| + 2) - 1| - 3 between the vertical lines x = 0.8 and x = 2.2. Round to 1 decimal place.

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

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[User]
Find the area of the region bounded by the curves f(x) = 1(1|(-3(-2cos(1π(-1(2x + 4)^2 + 4(2x + 4) - 4) - 3) - 2)) - 2|) - 2, g(x) = 2(2(2|((-2(4x + 3) + 1)/(-3(4x + 3) - 2))|) - 4) - 2, x = -1.3, 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|(-5(-2cos(1π(-3|(-3|(-3x^2 + 5x + 2) - 2| - 1) + 2| + 3)) + 1) - 4)| + 2 and g(x) = (-1((1(-5(1cos(3π(1|x + 2| - 3)) - 3)^2 - 3(1cos(3π(1|x + 2| - 3)) - 3) - 4) - 3)/(-2(-5(1cos(3π(1|x + 2| - 3)) - 3)^2 - 3(1cos(3π(1|x + 2| - 3)) - 3) - 4) + 3)) + 3)/(-3((1(-5(1cos(3π(1|x + 2| - 3)) - 3)^2 - 3(1cos(3π(1|x + 2| - 3)) - 3) - 4) - 3)/(-2(-5(1cos(3π(1|x + 2| - 3)) - 3)^2 - 3(1cos(3π(1|x + 2| - 3)) - 3) - 4) + 3))) from x = 3.2 to x = 3.3000000000000003. Round to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = -4(3((1((2(-2(-1|x - 1| + 1)^2 - 3(-1|x - 1| + 1) - 2) - 3)/(1(-2(-1|x - 1| + 1)^2 - 3(-1|x - 1| + 1) - 2) + 3)) + 2)/(-1((2(-2(-1|x - 1| + 1)^2 - 3(-1|x - 1| + 1) - 2) - 3)/(1(-2(-1|x - 1| + 1)^2 - 3(-1|x - 1| + 1) - 2) + 3)) + 2))^2 + 2((1((2(-2(-1|x - 1| + 1)^2 - 3(-1|x - 1| + 1) - 2) - 3)/(1(-2(-1|x - 1| + 1)^2 - 3(-1|x - 1| + 1) - 2) + 3)) + 2)/(-1((2(-2(-1|x - 1| + 1)^2 - 3(-1|x - 1| + 1) - 2) - 3)/(1(-2(-1|x - 1| + 1)^2 - 3(-1|x - 1| + 1) - 2) + 3)) + 2)) - 1) and g(x) = -2|(1sin(2π(3|(3((-1x - 1)/(2x + 1)) - 5)| - 3) - 2) + 1) - 2| between the vertical lines x = 0.4 and x = 1.7. 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((2(-1|((1((1x + 1)/(1x)))/(-2((1x + 1)/(1x)) - 1)) + 2| + 3))/(-1(-1|((1((1x + 1)/(1x)))/(-2((1x + 1)/(1x)) - 1)) + 2| + 3) + 2)) + 3)/(3((2(-1|((1((1x + 1)/(1x)))/(-2((1x + 1)/(1x)) - 1)) + 2| + 3))/(-1(-1|((1((1x + 1)/(1x)))/(-2((1x + 1)/(1x)) - 1)) + 2| + 3) + 2)) + 2)) + 1 and g(x) = 1|(-5(-2cos(1π((2(3x + 4) - 2)/(-1(3x + 4) - 3)) + 2) + 2) + 1) + 2| - 3 between the vertical lines x = -2.2 and x = -2.1. Round to 1 decimal place.

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

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[User]
Calculate the area enclosed between the functions f(x) = (2(-4(5(3((1(-1x + 2) + 1)/(-2(-1x + 2) + 3)) - 3) - 1) - 5) - 1)/(3(-4(5(3((1(-1x + 2) + 1)/(-2(-1x + 2) + 3)) - 3) - 1) - 5) - 2) and g(x) = (2(-3e^(1((1(1(-4x^2 + 5x)^2 - 2(-4x^2 + 5x) - 2) - 3)/(1(1(-4x^2 + 5x)^2 - 2(-4x^2 + 5x) - 2) + 2))) - 1) + 2)/(2(-3e^(1((1(1(-4x^2 + 5x)^2 - 2(-4x^2 + 5x) - 2) - 3)/(1(1(-4x^2 + 5x)^2 - 2(-4x^2 + 5x) - 2) + 2))) - 1) + 2) from x = -0.0 to x = 1.4. Round to 1 decimal place.

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