Question

integrate e^x/sqrt(1-e^(2x))

Answer 1

I thought it was using trig sub

Answer 2

You could use trig sub, that's actually more easier

Answer 3

Have you tried doing it?

Answer 4

could u explain how to do it with trib sub

Answer 5

it would tanx

Answer 6

oh i get it

Answer 7

thanks

Answer 8

Yes, tangent

Answer 9

sqrt(sec ^2 -1)

Answer 10

U sub first
u=e^x
du=e^xdx
\[\int\limits_{}^{}\frac{e^x}{1+e^{2x}}dx\]
\[\int\limits_{}^{}\frac{du}{\sqrt{1+u^2}}\]
Then Trig sub
\(1+u^2=1+tan^2\theta=sec^2\theta\)
\(tan\theta=u\)
\(du=sec^2\theta ~d\theta\)

Answer 11

thankk