Primitive of Inverse Hyperbolic Cosine of x over a/Corollary

Theorem

 * $\ds \int -\cosh^{-1} \frac x a \rd x = x \paren {-\cosh^{-1} \dfrac x a} + \sqrt {x^2 - a^2} + C$

where $-\cosh^{-1}$ denotes the negative branch of the real inverse hyperbolic cosine multifunction.