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Set Up Integral for Volume; Revolve Bounded Region

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1. Draw a representative strip and set up an integral for the volume of the solid formed by revolving the given region:
a) about the x-axis
b) about the y-axis
*Set up the integral only; DO NOT EVALUATE
I. The region bounded by the curves {see attachment for curves and diagram}

2. Find the volume by:
a) disk/washer method
b) shell method
I. Revolve the region bounded by y = x[squared] and y = x [cubed] about the y-axis
II. Revolve the region bounded by y = x, y = x2, and y = 1 about the y-axis

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Solution Summary

The revolve bounded regions for an integral is found. The volumes are given.