Find the fourier series of the function defined by
To find the Fourier series of the function \( f(x) \), we'll need to calculate the coefficients \( a_n \) and \( b_n \) for the Fourier series representation:
\[ f(x) = \frac{a_0}{2} + \sum_{n=1}^{\infty} \left( a_n \cos(nx) + b_n \sin(nx) \right) \]
The coefficients \( a_n \) and \( b_n \) can be calculated using the formulas:
\[ a_n = \frac{1}{\pi} \int_{-\pi}^{\pi} f(x) \cos(nx) __________ ________ ______ _____ ___.
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