Hey all,

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:

and

I decided, because the function is piecewise continuous, to complete the following integrals

and

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.