Fourier transform - would appreciate if my answer can be checked

[memorex88]

Homework Statement

Question: Find the Fourier series for

f(x) = x(2π-x) 0<x<2π f(x) = f(x+2π)hope the pi is clear as π

The Attempt at a Solution

this is in the attachments

 

[vela]

The constant term should be $2\pi^2/3$, but other than that, your answer looks fine.

One easy way to check your answer is to simply plot the series using a computer.

By the way, you're finding a Fourier series, not a Fourier transform, which is a different but related concept.

 

[memorex88]

Thanks Vela for checking, oops been doing both topics lately, slip of the tongue