\[-\zeta\sqrt{\zeta^{2}-\alpha^{2}}-\alpha^{2}\operatorname{arccosh}\left(-\frac%
{\zeta}{\alpha}\right)=-\frac{X}{\mu}+\frac{2\kappa}{\mu}\ln\left(\frac{2%
\kappa-X-x}{2\sqrt{\kappa^{2}-\mu^{2}}}\right)+2\ln\left(\frac{\mu X+2\mu^{2}-%
\kappa x}{x\sqrt{\kappa^{2}-\mu^{2}}}\right),\]