Find a power series representation for the following function:

$\displaystyle f(x) = ln (1+x)$

Here is how I started this:

$\displaystyle f'(x) = \frac{1}{1+x}$

$\displaystyle \sum^{\infty}_{n=0} (-x)^n$

Then I started to integrate, but I didn't know if I should do a definite or indefinite integral. If definite, what limits? Or, is this just not a good way to approach this problem? lol

CAn someone get me straight here?

Thanks!!