Set up the integral in terms of h(x) that evaluates the shaded area under the curve and evaluate that integral geometrically. 10 9 8

Q: Given the function f(x)=x-7, find the net signed area between f(x) and the x-axis over the interval…

A: Given that the function y=x-7 we have to find the area of the region [-1,9]

Q: Compute the area between the two functions, where f(x) is the “lower” function.

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Q: .Find the area under the graph of y = g(x) from -3 to 6, where x², g(x) = 18 – x, x > 2

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Q: Let R be in the region in the first quadrantenclosed be the graph f(x)=sqrt cos(x), the graph…

A: The double integral over the region R bounded by the curve y=g(x) and y=f(x)  in the interval [a, b]…

Q: Calculator OK. Consider the function f(x)=x' +4x+2 on the interval [0, 3). a. Find the AVERAGE VALUE…

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Q: X +5 ×ラン2x?+x メP

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Q: J(7x?-6x) dx- 2. 7/x² dx t6ľ x dx 8. 7/x2dx -6f xdx

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Q: Find and evaluate exactly an integral expression that represents the area between y = f(x) and the…

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Q: Find the area between two curves f(x) = x² + 3x and g(x) = 6x.

A: The region bounded between the curves fx=x2+3x and gx=6x

Q: Use the rectangular approximation with 4 rectangles, using the right endpoint for the height, to…

A: The right Riemann sum∫abf(x)dx≈Δx(f(x1)+f(x2)+f(x3)+⋯+f(xn−1)+f(xn))Δx=b−an

Q: Write an integral that represents the area of the shaded region shown below. Use the function names…

A: The area bounded by the curves y= f(x)  and y= g(x), is given by

Q: (1) Find the area enclosed by the two functions f(x)=x² – 1, and g(x) = -x4 + 1. %3D %3D

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Q: Integrate the area between the curves f (x) = x and g(x) = x² from x = 0 to x = 7. Sketch the area.

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Q: The graph of f is shown. Evaluate each integral by interpreting it in terms of areas. y y = f\x) 14…

A: area of triangle=12×base×heightarea of rectangle = length × width

Q: Estimate the area under the graph of f(x) over x + 4 the interval [1, 3] using ten approximating…

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