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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.

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