Primitive of Power of Tangent of a x by Square of Secant of a x

Theorem

 * $\displaystyle \int \tan^n a x \sec^2 a x \ \mathrm d x = \frac {\tan^{n + 1} a x} {\left({n + 1}\right) a} + C$

Also see

 * Primitive of $\cot^n a x \csc^2 a x$