Find half-range Fourier cosine series for the function f(x)= (x-1)2 , in 0<x<1

Find half-range Fourier cosine series for the function f(x)= (x-1)2 , in 0<x<1, and hence show that \frac{\Pi^2}{8}=\frac{1}{1^2}+\frac{1}{3^2}+\frac{1}{5^2}+….

Answer:-

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