Real Area Hyperbolic Sine of x over a in Logarithm Form

Theorem

 * $\sinh^{-1} \dfrac x a = \ln \left({x + \sqrt {x^2 + a^2} }\right) - \ln a$

Also see

 * $\cosh^{-1} \dfrac x a$ in Logarithm Form


 * $\tanh^{-1} \dfrac x a$ in Logarithm Form


 * $\coth^{-1} \dfrac x a$ in Logarithm Form


 * $\operatorname{sech}^{-1} \dfrac x a$ in Logarithm Form


 * $\operatorname{csch}^{-1} \dfrac x a$ in Logarithm Form