# Kronecker formula for integration

** Please see the attached file for a Word formatted copy of the problem **

Consider the function f(x) = cos x , 0 < x < π, as a periodic function of period π.

Plot the function on -2π < x< 2π, and find its Fourier series.

Now consider the odd periodic extension of f(x). Plot f(x) on -2π < x< 2π and find its Fourier sine series.

Finally consider the even periodic extension of f(x). Plot f(x) on -2π < x< 2π and find its Fourier cosine series

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#### Solution Summary

This solution shows how to use Kronecker formula for the given question regarding integration by parts.

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