Primitive of Inverse Hyperbolic Cosine of x over a over x

Theorem
where $\arcosh$ denotes the real area hyperbolic cosine.

Proof
For $\arcosh \dfrac x a > 0$:

Also see

 * Primitive of $\dfrac 1 x \arsinh \dfrac x a$


 * Primitive of $\dfrac 1 x \artanh \dfrac x a$


 * Primitive of $\dfrac 1 x \arcoth \dfrac x a$


 * Primitive of $\dfrac 1 x \arsech \dfrac x a$


 * Primitive of $\dfrac 1 x \arcsch \dfrac x a$