Primitive of Power of Sine of a x by Cosine of a x

Theorem

 * $\displaystyle \int \sin^n a x \cos a x \ \mathrm d x = \frac {\sin^{n + 1} a x} {\left({n + 1}\right) a} + C$

Also see

 * Primitive of $\cos^n a x \sin a x$