Fourier Series and Fourier Sine and Cosine Series
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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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,
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(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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