## representing a function as a power series

1. The problem statement, all variables and given/known data
Evaluate the indefinite integral as a power series and find the radius of convergence

$$\int\frac{x-arctan(x)}{x^3}$$

I have no idea where to start here. Should I just integrate it first?
1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution
 PhysOrg.com science news on PhysOrg.com >> Galaxies fed by funnels of fuel>> The better to see you with: Scientists build record-setting metamaterial flat lens>> Google eyes emerging markets networks
 Recognitions: Homework Help Science Advisor Sure, you could do that. But, I think what they want to do is expand arctan(x) as a power series around 0 and then integrate.
 ok. So arctan(x) = $$\int\frac{1}{1+x^2}$$ = $$\int\sum (x^(2*n))$$ = $$\sum\frac{x^(2(n+1)}{2(n+1)}$$ is this what you mean?

Recognitions:
Homework Help