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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

    and

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

    and

    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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    https://brainmass.com/math/fourier-analysis/fourier-series-fourier-sine-cosine-series-60184

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    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

    (11)

    (12)
    Solving for gives , and plugging this in gives

    (13)
    Therefore,

    (14)

    (15)

    (16)

    1. , ...

    Solution Summary

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

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