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## Homework Statement

##\displaystyle \int_0^1 \frac{\arctan x}{x}dx##

## Homework Equations

## The Attempt at a Solution

I converted the integral to the following; ##\displaystyle \int_0^1 \sum_{n=0}^{\infty}(-1)^n\frac{x^{2n}}{2n+1}dx##. In this case am I allowed to swap the summation and integral signs?