Primitive of Square of Hyperbolic Sine of a x

Theorem

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

Also see

 * Primitive of $\cosh^2 a x$
 * Primitive of $\tanh^2 a x$
 * Primitive of $\coth^2 a x$
 * Primitive of $\operatorname{sech}^2 a x$
 * Primitive of $\operatorname{csch}^2 a x$