Contour Integral of |z| = 2 using Cauchy's Formula

[muzak]

Homework Statement

|z| = 2, \oint\frac{1}{z^3}

Homework Equations

Cauchy's Integral Formula
http://en.wikipedia.org/wiki/Cauchy's_integral_formula

The Attempt at a Solution

Seems like a simple application of the general formula on the wiki page with n = 2, a = 0, and f(z) = 1. The higher order derivatives just yield zero, making the integral zero. Just asking for verification for a friend.

 

[STEMucator]

You're using a circle of radius 2 as a contour. You could parametrize it with some $z(t)$, and then evaluate it. Think about $e$, and see what you get.