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    Fourier Cosine Transforms

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    In the two problems below find the Fourier Cosine Transform of the given f(x) and write f(x) as a Fourier integral.

    -1, -Pi <x<0
    f(x) = 1, 0<x<Pi
    0, |x| > Pi

    2x+2a -a<x<0
    f(x) = -2x+2a 0<x<a
    0 |x|>a

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    Solution Summary

    Fourier cosine transforms are investigated. The functions are solved.