Find the Fourier series of the following: a. (f(x)=x, x in[0,2 pi]). b. (f(x)=frac{x^{2}}{4},|x|

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Find the Fourier series of the following:

a. \(f(x)=x, x \in[0,2 \pi]\).

b. \(f(x)=\frac{x^{2}}{4},|x|<\pi\).

c. \(f(x)=\left\{\begin{array}{rr}\frac{\pi}{2}, & 0

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