Question

integration for :
1/(1+e^x)

Answer 1

Hint:
\[\frac{1}{1+e^x}=\frac{1+e^x-e^x}{1+e^x}=1-\frac{e^x}{1+e^x}.\]

Answer 2

ok then what will i have to do after that ??

Answer 3

I'm sure you know how to integrate 1. For the term \(\frac{e^x}{1+e^x}\), use a substitution \(u=1+e^x\). It's an easy one.

Answer 4

sorry mr.math tell me slowly the steps to final
im studying from 19 hrs
i think my brain stopped

Answer 5

aha
i integrated it

Answer 6

Alright! So we have so far:
\[\int \frac{1}{1+e^x}dx=\int (1-\frac{e^x}{1+e^x})dx=\int dx-\int \frac{e^x}{1+e^x}dx.\]

Answer 7

thank you very much
it will be ( x - in ( 1+e^x ) + c right ?

Answer 8

Exactly! :)

Answer 9

thank you for caring

Answer 10

You're welcome.