Question: Let (f(theta)) be the (2 pi)-periodic function determined by the formula [f(theta)=theta^{2}, quad text { for }-pi leq theta leq pi] Find the Fourier series

Let \(f(\theta)\) be the \(2 \pi\)-periodic function determined by the formula

\[f(\theta)=\theta^{2}, \quad \text { for }-\pi \leq \theta \leq \pi\]

Find the Fourier series for \(f(\theta)\).

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