Question

Integration Help...

Answer 1

Okay...

Answer 2

\[\int\limits_{0}^{\pi/4} \frac{ e^{tanx} }{ \cos^2x } dx\]

Answer 3

This can be approached with substitution. Notice that
\[\frac{1}{\cos^2(x)}=sec^2(x)=\frac{d}{dx}\tan(x).\]
I hope that helps.

Answer 4

So it looks like
\[\int\limits_{0}^{\pi/4} \sec^2x e ^{tanx} dx\]
?

Answer 5

Yep.

Answer 6

do i have to use u substitution?

Answer 7

Yep.

Answer 8

u=tanx?

Answer 9

Yeah, that'll do it.

Answer 10

thanks i got e-1.

Answer 11

No problem!