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Fourier Transform And Fourier Series Plot In Any Oop Language

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Hi, I need to program Fourier Transform and Fourier Series in any OOP language. I'll be using C++ since I have worked on it for quite some time now and am really comfortable with it . :). I am not supposed to use previously built libraries. Kindly help me with how I can perform the intergration and differentiations in C++ and How am I suppose to plot it ?