Primitive of Reciprocal of Sine of a x/Logarithm of Cosecant minus Cotangent Form

Theorem

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

Also see

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