Integration using a specific method

1. Aug 20, 2012

Charlotte87

1. The problem statement, all variables and given/known data
I am suppose to rearrange the integral in order to use this formula to solve it:
∫f'(x)/f(x)dx=ln|f(x)|+C

2. Relevant equations
My integral is ∫(e^x+1)/(e^x+e^-x+2).

3. The attempt at a solution
Any help?

2. Aug 20, 2012

sharks

To simplify the integral, let $y=e^x$ and break it into partial fractions.

Last edited: Aug 20, 2012
3. Aug 20, 2012

Saitama

Write e^(-x) as 1/(e^x). Simplify and you should get the expression:
$$\frac{e^{2x}+e^x}{e^{2x}+2e^x+1}$$
Can you now see which is f(x) and which is f'(x)?

4. Aug 20, 2012

smk037

this is an easy way to do it

should get you started at least

5. Aug 20, 2012

smk037

pranav got there before me... lol