This is probably going to be one of those questions where I can't believe I was so dumb but...What I'm trying to do is calculate the fourier series of some function. This is okay, but I'm having a problem with my integral.
In the fourier series Ao is given by
The fourier series I'm attempting to calculate is for
Let us note that this function is even
So Ao should simplify to
We then plug in the values and obtain
evaluated from 0-->2
This of course yields
Now, I was fiddling with this. And had I not changed my integral I get a different answer.
evaluted from -2-->2
I'm sure that I have violated some law in the second evaluation, i don't remember what is is though. Is this because the equation isn't valid on the left side of the XY domain and that the derivative at 0 doesn't exist? I think I vaguely remember something about this from first year.