Primitive of Reciprocal of Hyperbolic Sine of a x

Theorem

 * $\displaystyle \int \frac {\mathrm d x} {\sinh a x} = \frac 1 a \ln \left\vert {\tanh \frac {a x} 2} \right\vert + C$

Also see

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


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


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


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


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