Primitive of Hyperbolic Sine of a x by Hyperbolic Cosine of a x

Theorem

 * $\displaystyle \int \sinh a x \cosh a x \ \mathrm d x = \frac {\sinh^2 a x} {2 a} + C$

Also see

 * Primitive of $\sinh a x \sinh p x$
 * Primitive of $\cosh a x \cosh p x$
 * Primitive of $\sinh p x \cosh q x$