Question

Please help me evaluate the following integral (click to see) with an appropriate substitution.

Answer 1

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

Answer 2

Ok, so look first for a u substitution, do you see anywhere you can make a u sub?

Answer 3

I think i solved it, its a strange substitution tho....

Answer 4

u=e^x

Answer 5

but u is squared making it equal to e^(2x)

Answer 6

You're close, but that's not quite the right u sub.

Answer 7

i think it is, h/o about to solve it...

Answer 8

All right, you try to solve it and let me know what u get.

Answer 9

And if u don't quite get it right, I'll help u.

Answer 10

ok i was wrong, what is the right substitution

Answer 11

Ok, so look at the denominator.

Answer 12

ok

Answer 13

See if you can see an obvious u sub there.

Answer 14

2x

Answer 15

actually wait, the way i solved it was right....

Answer 16

arctan(e^x)+c

Answer 17

Yea, actually ur right, I even check to make sure, I did it myself and that's it.

Answer 18

k thanks

Answer 19

No prob