Primitive of Power of Hyperbolic Tangent of a x

Theorem

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

Also see

 * Primitive of $\sinh^n a x$
 * Primitive of $\cosh^n a x$
 * Primitive of $\coth^n a x$
 * Primitive of $\operatorname{sech}^n a x$
 * Primitive of $\operatorname{csch}^n a x$