Let f(x) = x 2 , for x [ , ]. (i) Find the coefficients of the Fourier series of f(x). (ii) use

Let f(x) = x² , for x ∈ [ − π, π]. 

(i) Find the coefficients of the Fourier series of f(x). 

(ii) use your results above to find the Fourier series representation of f(x).