Consider the solid obtained by rotating the region bounded by the given curves about the line x = 1.

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Consider the solid obtained by rotating the region bounded by the given curves about the line x = 1.

$x=y^2,x=1$ Find the volume V of this solid.

Sketch the region, the solid, and a typical disk or washer.

I have been following this example as a guide; however, I keep on getting the wrong answer.

$\pi\int\limits_{-1}^{1}{(1-y^2)^2dy}={16\over15}$

Any suggestions?

$\endgroup$ 4 Reset to default

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