WEBVTT
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We know that if X is to y squared than
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what we have is why is one again reuse the
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method of cylindrical shells, which means our our is
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to minus y and r h is gonna be to
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minus two. Why square, in other words,
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to minus explore using why cats do wise the two
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minus two. Why square? Which means plugging in
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what we know we have to pie times two minus
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y times two times one minus y squared. Now
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we need to look at this in terms of the
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integral from 0 to 1 to minus y times one
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minus y squared, Do you? Why, I
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would recommend using the power rule me integrate It makes
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a lot easier because now what we're doing is we're
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increasing the exponents by one. And then we are
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dividing by the new exponents just like us. Which
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means plugging in. We have four pi times one
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to the fourth, which is just one minus two
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times one cubed, which is just again one times
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two on the top. One squared over two plus
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two times one, which gives us four pi times
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what's on the inside. So we end up with
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13 pie over three