WEBVTT
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So we do this line to grow here we have
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the Y and as usual, the first step is
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to Parametric is, uh, the ark. So
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X equals T y whose T square and as we
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can see from here, he clears clearly goes from
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zero to pi So the integral will be zero to
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pi X square Y should be teaching the four plus
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sign Why is these others X s t so X
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square was cheating the fourth and access key and the
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wife is to t d g duty to the fifth
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plus two t 70 d p Mhm. Okay,
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so let's try to, um, try to compute
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the integral this one separately or if you remember,
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the format is always good. It will have to
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I'll use integration by part. We said this to
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be you and is to be t. V.
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And this just gives you you times feet which should
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be negative t co society, uh, minus fee
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which is co sign t the U D t minus
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and VVS negative cosign t So we should have plus
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here. So this one we integrate with our scientists
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. We are scientific minus t coz I T plus
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C and I hope this is correct. Let's check
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it quickly. By taking the derivative we got a
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call sign T here. We got a by product
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rule coz I shit minus t times negative scientists plus
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t sign here. That's right. Uh huh.
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We do have this anti derivative formula is open another
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page who want zero to pi to t fifth plus
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two t 70 d p and we write out the
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anti derivative. So it's teachers by power roll This
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should be t to the six over six times too
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. So over three plus two times formula we find
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also to side T minus two ti ko 70 We're
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probably in pie. We got pie to the 6/3
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plus cyp I zero and the cold sign pie is
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negative one. So here we got zero and the
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minus two pi times that he wants a plus two
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pipes and the miners. If we probably zero first
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term is zero second terms. Every term is zero
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. Actually, you know, this is 0700 and
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we have a zero here, so So we don't
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really be this term. And then this is the
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final answer