# Representing a function as a power series

grothem

## Homework Statement

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?

## The Attempt at a Solution

ok. So arctan(x) = $$\int\frac{1}{1+x^2}$$
= $$\int\sum (x^(2*n))$$
= $$\sum\frac{x^(2(n+1)}{2(n+1)}$$