1. The problem statement, all variables and given/known data Allow D to be the circle lz+1l=1, counterclockwise. For all positive n, compute the contour integral. 2. Relevant equations int (z-1/z+1)^n dz 3. The attempt at a solution I know to use the extension of the CIF. Where int f(z)/(z-zo)^n+1 dz = 2(pi)i* (f^(n)(zo)/n!) .... However, I'm unsure how to execute the integral for my answer to depend on n. I made f(z)=(z-1)^n Then, Int ( f(z)/(z+1)^n) = 2(pi)i*(f^n(zo)/n!) Evaluating f(zo) at zo=-1 = (-2)^n So.. 2(pi)i*((-2)^n/n!) I know I'm missing components of the derivative operator... but I'm not sure how to go about completing this. I appreciate any help.