Real Area Hyperbolic Sine of x over a in Logarithm Form

Theorem

 * $\sinh^{-1} \dfrac x a = \map \ln {x + \sqrt {x^2 + a^2} } - \ln a$

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


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


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