Primitive of Reciprocal of Cube of Sine of a x

Theorem

 * $\displaystyle \int \frac {\mathrm d x} {\sin^3 a x} = \frac {-\cos a x} {2 a \sin^2 a x} + \frac 1 {2 a} \ln \left\vert{\tan \frac {a x} 2}\right\vert + C$

Also see

 * Primitive of $\dfrac 1 {\cos^3 a x}$