The Fourier series of a function $f(x)$ is given by:
$$f(x) = a_0 + \sum_{n=1}^{\infty} [a_n \cos(nx) + b_n \sin(nx)]$$
where
$$a_0 = \frac{1}{\pi} \int_{-\pi}^{\pi} f(x) \, dx$$
$$a_n = \frac{1}{\pi} \int_{-\pi}^{\pi} f(x) \cos(nx) \, dx$$
$$b_n = \frac{1}{\pi}
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