integral of (z^2/(4-z^2)) with respect to z, over |z+1|=2
Cauchy's Formula(I'm attempting to do it in the more fancy and easily readable sense, if it's not readable then go here.. http://en.wikipedia.org/wiki/Cauchy's_integral_formula )
The Attempt at a Solution
So, the first thing I did was try and get it in the form of the formula. I did a partial fraction expansion and have integral of(1/(z-2) + 1/(z+2)). You can split these apart if I recall correctly, however, once I get there I have absolutely no idea what to do. I have some examples and things that I've looked at, but I can't seem to really put it together.
I don't understand how to apply the formula is what I mean.