[[Integration|Integrals]] of [[Hyperbolic Functions]] $\huge \begin{align} \int \cosh(x)\d x &= \sinh (x)+C\\ \int \sinh(x)\d x &= \cosh (x)+C\\ \int \tanh(x)\d x &= \ln\pa{\cosh(x)} + C\\ \\ \int \frac{1}{\sqrt{1+x^2}}\d x &= \sinh^{-1}(x)+C \\ \int \frac{1}{\sqrt{1-x^2}}\d x &= \cosh^{-1}(x)+C \\ \end{align} $