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Let S be the region between •x=1, •x=3, •y=6−(x−2)2, and •y=x 2+1. a) Set up an...

Let S be the region between •x=1, •x=3, •y=6−(x−2)2, and •y=x 2+1.

a) Set up an integral to find the area of S. Do not evaluate.
b) Set up an integral to find the volume Vx of the solid obtained by rotating S about the x-axis. Do not evaluate.
c) Set up an integral to find the volume Vy of the solid obtained by rotating S about the y-axis. Do not evaluate.

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