INTEGRATE: e^x/(1+e^2x)

Question

anonymous · Answer

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

anonymous · Answer

dude...that is a hard one:)

loser66 · Answer

I don't have time, just give you the guidance
let u =e^x                 dv = (1/(1+e^(2x)dx
du = e^xdx                v = 2 ln(1+e^(2x)
after replacing to solve it by part, you will get a term back to original one.
Don't worry, just put everything on and move the like terms to one side, the other side is the answer. Have to go. I am sorry for not being fully helped

anonymous · Answer

ahhhh!  integration by parts...how quickly I forget...

anonymous · Answer

I would have never got v

anonymous · Answer

$$\int\limits \frac{ e^x }{ 1+u^2 } \frac{ du }{ e^x }$$
leaves you with
$$\int\limits \frac{ 1 }{ 1+u^2 }du$$

anonymous · Answer

and at that point in my calculus studies we were allowed to use a table...

anonymous · Answer

https://answers.yahoo.com/question/index?qid=20100215082614AAtaYBw