WEBVTT
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in order to evaluate the integral of first thing we
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can do is we can draw this. Okay,
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Now we know our volume is gonna be pi times
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the integral from zero to cause those of the bounds
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. They've specified that in the problem. Then the
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top three square demise. The bottom one squared.
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Do you? Why now? We're not done with
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the integral we have toe. Add the 2nd 1
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pi times from 2 to 4. Again bounds.
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They've given us top three squared minus or I mighta
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swarm. That's an expression squared. And then do
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you? Why this simplifies to pulling pie out?
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Because it's a constant as we've established. Okay,
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now we're at the point. We can take the
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derivative. We know the driven out of this in
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this context. We're taking that into role of us
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because this is the derivative of the integral. Essentially
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are the original function. So we have ate pie
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. Why? From 0 to 2. And the
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reason why is because we're we're adding on the variable
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onto a pie because we know eight pies, the
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driven it pie wise, We just had the very
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bomb. Which is gonna be Why do the same
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thing at the vory blam used the power rule and
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Christy exploded by one divide by the new exponents.
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Plug in and consult it like terms to get your
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final answer.