Help with integration!!!!

E.R.S

Hey, can someone please help me with this integration??? I have no idea how to do it, it could be integration by substitution but i don't know how to go about attempting it.

Basically:

e^x .dx
-----------
2 + e^x

How do you go about integrating this??

Thank you

Reply 1

just george

integrates to ln(2+e^x) + c i think

basically you need to spot that the numerator is the differential of the denominator, and the integral of f'(x) / f(x) = ln f(x) + c

Reply 2

raheem94

13

Original post by E.R.S

Hey, can someone please help me with this integration??? I have no idea how to do it, it could be integration by substitution but i don't know how to go about attempting it.

Basically:

e^x .dx
-----------
2 + e^x

How do you go about integrating this??

Thank you

consider y=ln|2+e^x|

Reply 3

boromir9111

17

It's of the form, f'(x)/f(x).......simplify this shizzle.