Primitive of Square of Cosine of a x over Sine of a x

Theorem

 * $\ds \int \frac {\cos^2 a x \rd x} {\sin a x} = \frac {\cos a x} a + \frac 1 a \ln \size {\tan \frac {a x} 2} + C$

Also see

 * Primitive of $\dfrac {\sin^2 a x} {\cos a x}$