Primitive of Hyperbolic Sine of a x by Hyperbolic Sine of p x

Theorem

 * $\displaystyle \int \sinh a x \sinh p x \ \mathrm d x = \frac {\sinh \left({a + p}\right) x} {2 \left({a + p}\right)} - \frac {\sinh \left({a - p}\right) x} {2 \left({a - p}\right)} + C$

Also see

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