Complex integration question?

Question

Hi all, really confused with complex integration, any help would be much appreciated..

Problem: Find integral{ z^3 / (2z-1)^3 dz} over C, where C is positively oriented circle, |z|<2.

Should I be using parametrization for gamma(t) = 2e^it, or residue theorem or some other stuff?

Answer 1

id say use the residue theorem. z=1/2 is a residue. (I dont remember exactly but pole of order 3? )