# Complex Fourier Series

## Homework Statement

Find the complex fourier series of the periodic function

f(t)=2sin(πt) 0 < t < 1 and f(t+1) = f(t) for all t. (π is pi)

## The Attempt at a Solution

ive tried many times using the forumla's and trying to rearrange to get exponentials but i always end up with something that looks really wrong, can someone point out any simplifications that can be made and do i need to integrate by parts (even though i cant see how that can be done). Any help will be greatly appriciated. Thanks