1. The problem statement, all variables and given/known data Let C. denote the circle |z-z.|= R, taken counter clockwise. use the parametric representation z= z. + Re^(io) (-pi </= o </= pi) for C. to derive the following integration formulas: integral C. (dz/(z-z.)) = 2ipi 2. Relevant equations note: z. and C. represent z knot and c knot , and </= represents less than or equal to and o represents theta 3. The attempt at a solution i was able to do some work to it, but i eventually came out with (integral of) (R i e^io)/R which goes to integral of (i e ^(io))from -pi to pi, which comes out to e^(ipi) - e^(-ipi), which my teacher showed me comes out to zero. (i didnt quite understand his method, but i do know 0=/=2ipi T_T thanks!