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    Fourier Series and Fourier Sine and Cosine Series

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    1.) Find fourier series of f(x)=4, x greater than -3 and less than 3


    2.) Find fourier series of f(x) = x^2-x+3, x greater than -2 and less than 2


    3.) Write the cosine and sine fourier series f(x)=x^2 for x greater than 0 and less than 2

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    Solution Preview

    For a function periodic on an interval instead of , a simple change of variables can be used to transform the interval of integration from to . Let


    Solving for gives , and plugging this in gives





    1. , ...

    Solution Summary

    Fourier Series and Cosine and Sine Fourier Series are found. The solution is detailed and well presented.