Fourier cosine series

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I have been given this to solved:

$$f(x) = \begin{cases}x & \text{if }0<x<\pi/2, \\ \pi-x & \text{if }\pi/2<x<\pi. \end{cases}$$

My attempt:

2l=$\pi$ so l=$\pi$/2

$$a_n=\frac{4}{\pi}\int_0^{\pi}f(x)\cos(2 n x)dx=\frac{4}{\pi}\int_0^{\pi/2}x\cos(2 n x)dx$$

The first integral gives me: $$\frac{-1}{n^2 \pi}{((-1)^n-1)}.$$

Also I get $a_0$ = ${\pi^2}/8$.Are these correct

Also the function is discontinious and I know only to solve for continious function..Pls help