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Need help with a Fourier series question

Mathematics Asked on December 27, 2021

I don’t know if it’s been asked before (if it has please give me the link), and I don’t understand latex or anything so I’ll write it in plain words:
$$
f(x) =
begin{cases}
x & text{for } -frac{pi}{2} leq x leq frac{pi}{2} \
π-x & text{for } frac{pi}{2}< x leq frac{3π}{2}
end{cases}
$$

Find the Fourier series.
I feel like the function is odd so it should be simple but I keep messing it up.

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