$2\pi\:\int_0^{ln\left(2\right)}cosh\left(x\right)\cdot\:\sqrt{1+sinh^2\left(x\right)}\:dx$

$\pi \mathrm{sinh}\left(0.6931472\right)\cdot \left(1+\mathrm{sinh}\left(0.6931472\right)^2\right)^{0.5}+\pi \ln\left(\left(1+\mathrm{sinh}\left(0.6931472\right)^2\right)^{0.5}+\mathrm{sinh}\left(0.6931472\right)\right)-\pi \mathrm{sinh}\left(0\right)\cdot \left(1+\mathrm{sinh}\left(0\right)^2\right)^{0.5}-\pi \ln\left(\left(1+\mathrm{sinh}\left(0\right)^2\right)^{0.5}+\mathrm{sinh}\left(0\right)\right)$