For the given Function below, F(x) = { 0 -2 < x < -1 x^2 -1 < x

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For the given Function below, F(x) = { 0 -2 < x < -1 x^2 -1 < x < 1 k 1 < x < 2 Write a code to calculate the Fourier series transform and use the Mid-point method to calculate the integral.

$For the given Function below, F(x) = { 0 -2 < x < -1 x^2 -1 < x < 1 k 1 < x < 2 Write a code to calculate the Fourier series transform and use the Mid-point method to calculate the integral.$

I WANT THE HAND CALCULATIONS AND THE CODE WITH ANY PROGRAMING LANGUAGE THAT ASWER THE QUESTION WITH THE SAME RESULTS OF HAND CALCULATION QUICKLY PLEASE

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For the given Function below, F(x) = { 0 -2 < x < -1 x^2 -1 < x < 1 k 1 < x < 2 Write a code to calculate the Fourier series transform and use the Mid-point method to calculate the integral.