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Tricky Integral from Griffiths QM
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[QUOTE="Nathanael, post: 4997965, member: 509990"] There's something called a "reduction formula" for integrals of powers of sine and cosine. You can derive it yourself quite simply from integration by parts, or you can just look it up. This formula is perfect to find elementary indefinite integrals of odd powers of sine (or cosine). Generalizing it to 2l+1 takes a bit more effort, but it's greatly simplified if you only care about the definite integral from 0 to pi. Edit: I just used it to find an answer in terms of l, and it works for all cases I've checked (l=1,2,3,4,5, and just to put the cherry on top, l=21) [/QUOTE]
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Tricky Integral from Griffiths QM
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