Primitive of Reciprocal of Hyperbolic Tangent of a x

Theorem

 * $\displaystyle \int \frac {\mathrm d x} {\tanh a x} = \frac {\ln \left\vert {\sinh a x} \right\vert} a + C$

Also see

 * Primitive of $\dfrac 1 {\sinh a x}$


 * Primitive of $\dfrac 1 {\cosh a x}$


 * Primitive of $\dfrac 1 {\coth a x}$


 * Primitive of $\dfrac 1 {\operatorname{sech} a x}$


 * Primitive of $\dfrac 1 {\operatorname{csch} a x}$