$\frac{\sinh x\left(2 y^2+2 \cosh x+1\right)}{4 y\left(y^2+\cosh x\right)}$

$\frac{\sinh x\left(2 y^2-2 \cosh x-1\right)}{4 y\left(y^2-\cosh x\right)}$

$\frac{\sinh x(1-2 \sqrt{\cosh x})}{4 y \sqrt{\cosh x}}$

$\frac{\sinh x(1+2 \sqrt{\cosh x})}{4 y \sqrt{\cosh x})}$

$\frac{1}{x \sqrt{x^2-1}}$

$\frac{x+1}{x \sqrt{x^2-1}}$

$\frac{x+1}{x^2 \sqrt{x^2-1}}$

$\frac{x}{\sqrt{x^2-1}}$

$2+\frac{1}{e}$

$e^2+\frac{1}{2}$

$\frac{1}{e^2}+2$

$e+\frac{1}{e}$

$-e^{\frac{-\pi}{4}}$

$\sqrt{2} e^{\frac{\pi}{4}}$

$\sqrt{2} e^{\frac{-\pi}{4}}$

$e^{\frac{-\pi}{4}}$