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let SN(x) = a0 + sum from 1 to N of (an cosnx + bn sin...

let SN(x) = a0 + sum from 1 to N of (an cosnx + bn sin nx) be the Nth partial sum of a Fourier series where a0, an and bn are constants and N is a positive integer

Show that 1/pi [ integral from -pi to pi of |(SN (x)|^2 dx ] = 2a0^2 + sum from 1 to N of (an2 + bn2 )

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