Area and Volume Calculus

Find the integral that would find the area of the region enclosed by the curves.

Select the integral that would find the volume of the region revolving around the given axis.

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Select the integral that would find the volume of the region revolving around the given axis.

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Find the volume of the solid formed when cross sections perpendicular to the x axis are squares

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The region bounded by the line y = x and y = f(x) is rotated about the line y = k. Choose the correct representations of R and r

• R = k + f(x)

• R = k − f(x)

• r = k + x

• r = k − x

Select the formula for finding area under a curve bounded by the x axis.

Find the integral for the area under the curve.

Select the formula(s) to find the volume of a solid of revolution using the washer method.

If the region from (-1,0) is rotated about the x axis, would one use a washer or disk?

• washer

• disk

If the region enclosed by these functions are revolved around the y axis, would one use a washer or disk?

• washer

• disk