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jasenka [17]
3 years ago
7

Set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the region bounded by the given curves

about the specified axis.
y = sqrt(x), y = x^2; about y = 2
or y = \sqrt{x}, y = x^2; about y = 2

Mathematics
1 answer:
Radda [10]3 years ago
4 0
A washer has outer radius 2-x^2 and inner radius 2 - \sqrt{x}

\displaystyle V = \int_0^1 \pi\Big[ \left( 2 - x^2 \right)^2 - \left( 2 - \sqrt{x}\right)^2\Big] dx

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