Primitive of Reciprocal of Sine of a x/Logarithm of Tangent Form

Theorem

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

Also see

 * Primitive of $\dfrac 1 {\cos a x}$: $\tan$ form