$\displaystyle \int \frac{e^x}{1+e^{2x}}$

Could someone explain how to solve this?

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- Jan 22nd 2009, 10:30 AMHarisIntegration
$\displaystyle \int \frac{e^x}{1+e^{2x}}$

Could someone explain how to solve this? - Jan 22nd 2009, 10:33 AMgalactus
Make the sub $\displaystyle u=e^{x}, \;\ du=e^{x}dx$

After making the subs, the resulting integral should look familiar and a cakewalk from there on out. - Jan 22nd 2009, 10:34 AMJester
- Jan 22nd 2009, 10:46 AMHaris
$\displaystyle I=tan^{-1}(e^x)$

Is that correct? - Jan 22nd 2009, 10:57 AMJester