Question

Integral SOS

Answer 1

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

Answer 2

HI!!

Answer 3

i am going to guess this is
\[\int \frac{e^x}{1+e^{2x}}dx\]

Answer 4

Hi! Can I ask for your help?

Answer 5

looks like it might be an arctangent

Answer 6

should I write e^x as t?

Answer 7

it is! how did you know that?!

Answer 8

lol

Answer 9

the answer is arctan e^x

Answer 10

because if you visualize it as \(\frac{1}{1+x^2}\) you see arctan right away

Answer 11

yeah put \(u=e^x\) you get it in one step

Answer 12

you got that right?

Answer 13

yeah, idk how did I miss that lol

Answer 14

thanks a lot!

Answer 15

\[\color\magenta\heartsuit\]

Answer 16

<3

Answer 17

@misty1212 can I please ask you for helping me out with another integral?