Primitive of Reciprocal of Hyperbolic Cosine of a x

Theorem

 * $\displaystyle \int \frac {\mathrm d x} {\cosh a x} = \frac {2 \arctan \left({e^{a x} }\right)} a + C$

Also see

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


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


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


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


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