# 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