Right isn't so much a question as an 'am i doing this right'.
Evaluate where is the circle with centre 0 and radius 2, traversed in the usual anti-clockwise sense.
And my answer...
The function is holomorphic on the complex plane except at z=1.
So, using Cauchys integral formula we get with .
If so, how come the answer doesnt depend on ? Does it not matter what the radius of the circle is?