Originally Posted by

**Hydralisk** Hi all,

I'm having difficulty manipulating a problem so it fits the equation required to use the formula.

I've been asked by using equation

$\displaystyle \int(f(x))^{n}f'(x)dx=\frac{1}{n+1}(f(x))^{n+1}+c$

show that

$\displaystyle \int\frac{e^{x}+e^{-2x}}{(2e^{x}-e^{-2x})^{\frac{3}{2}}}dx=-(2e^{x}-e^{-2x})^{-\frac{1}{2}}+c$

please don't reveal too much to me, but how can I manipulate

$\displaystyle \int\frac{e^{x}+e^{-2x}}{(2e^{x}-e^{-2x})^{\frac{3}{2}}}dx$

so it is of the form

$\displaystyle \int(f(x))^{n}f'(x)dx$

many thanks.