# Integration using a specific method

## Homework Statement

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

## Homework Equations

My integral is ∫(e^x+1)/(e^x+e^-x+2).

## The Attempt at a Solution

Any help?

DryRun
Gold Member
To simplify the integral, let ##y=e^x## and break it into partial fractions.

Last edited:
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)?

this is an easy way to do it

should get you started at least

pranav got there before me... lol