JamesGregory
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Homework Statement
Prove the following trigonometric reduction using integration by parts:
<br /> <br /> \int \sin^n x dx = - \frac{\ \sin^{n-1} x \cos x}{n} + \frac{\ n-1}{n} \int \sin^{n-2} x dx<br />
2. The attempt at a solution
I tried using integration by parts by breaking up sin^n x into sin^(n-2) x sin^2 x and sin^(n-1) x sin x but couldn't seem to get either to work. If someone could just provide a useful link as opposed to typing the whole proof, that would be appreciated.
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