Integration using a specific method

[Charlotte87]

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]

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

 

[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)?

 

[smk037]

this is an easy way to do it

should get you started at least

 

[smk037]

pranav got there before me... lol