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**Homework Statement**

Find the Fourier cosine series representation of

g([itex]\chi[/itex]) = [itex]\chi[/itex] ([itex]\pi[/itex] + [itex]\chi[/itex])

on the interval (0,[itex]\pi[/itex])

**The attempt at a solution**

Okay so I've got

a

_{0}=[itex]\frac{1}{\pi}[/itex][itex]\int\chi(\pi+\chi)d\chi[/itex]

=[itex]\frac{5\pi^{3}}{6}[/itex]

a

_{n}=[itex]\frac{1}{\pi}[/itex][itex]\int\chi(\pi+\chi)cos(n\chi)d\chi[/itex] for n[itex]\geq1[/itex]

But I'm not quite sure where to go from there