# Power Series

1. Nov 29, 2007

1. The problem statement, all variables and given/known data

The function $$f(x)=5xarctan(3x)$$ is represented as a power series. Find the first few coefficients in the power series.

2. Relevant equations

The power series is represented in the form $$sum(Cn*x^n)$$

3. The attempt at a solution

I've attempted to write the function as an integral, and split the 5x with the trignonometric component. After doing this (and writing a power series), I'm not getting the right answer. Is something wrong with my approach?

Take f(x)=tan$^{-1}$x and find the taylor series of it at $\alpha=0$ and the replace x by 3x and multiply by 5x after