# Thread: Simple integration question help

1. ## Simple integration question help

hey guys Im a bit rusty with integrating exponentials
since the derivative of $e^{x}+e^{-x}$ is $e^{x}-e^{-x}$ how do I integrate this?

$\displaystyle\int\dfrac{e^{x}-e^{-x}}{e^{x}+e^{-x}}\,dx$

Thanks

2. substitution rule:
let $u = e^x+e^{-x} \implies du = e^x-e^{-x}\;dx$

3. $\displaystyle \int \frac{f'(x)}{f(x)} \, dx = \ln|f(x)| + C$