Primitive of Exponential of a x by Hyperbolic Sine of b x

Theorem

 * $\displaystyle \int e^{a x} \sinh b x \rd x = \frac {e^{a x} \paren {a \sinh b x - b \cosh b x} } {a^2 - b^2} + C$

Also see

 * Primitive of $e^{a x} \cosh b x$