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x = 3 + (y-2)**2, x = 4

Use the method of cylindrical shells to find the volume V of the solid obtained by rotating the region bounded by the given curves about the x-axis.

V = ??

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I set up the problem like this...

V = integral from 0 to 3((4-(y^2-4y+7))(y + 1) dy)

(height) (radius) ...of "shell"

Did I set this up right? Hopefully this is clear enough, if you can't understand I can clarify. Thanks for the help in advance!