I've been working on a question, and I was whether someone could go through my work and see where I went wrong.
The problem is:
Find the fourier series of the box function on the domain :
I need to find the coefficients & for the fourier series on the domain .
I can find the coefficients by using the following equations:
I decided, because the function is piecewise continuous, to complete the following integrals
Not from to and not from to as in these domains.
I find that , and . I can find .
Thus, my fourier series is the following:
The answer supplied is the following series.
I feel my solution can not be transformed into that solution. Is there something wrong with my working?
Thanks for your time.