You are Here: Home >< Maths

# Help with integration!!!! Watch

1. 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
2. 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
3. (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|
4. It's of the form, f'(x)/f(x).......simplify this shizzle.
5. Omg thanks for the help wow i feel so stupid now for not seeing that straight away :L i've literally been stuck on this question for a good 30 minutes well at least I won't get it wrong again in the future

Thank you!!!!

Updated: February 29, 2012
TSR Support Team

We have a brilliant team of more than 60 Support Team members looking after discussions on The Student Room, helping to make it a fun, safe and useful place to hang out.

This forum is supported by:
Today on TSR

### Stuck for things to do this summer?

Come and get some inspiration.

Poll
Useful resources

### Maths Forum posting guidelines

Not sure where to post? Read the updated guidelines here

### How to use LaTex

Writing equations the easy way

### Study habits of A* students

Top tips from students who have already aced their exams