Chapter 14.3, Problem 11P

Evaluate ${\displaystyle {\oint }_C(\bar{z}-3)}dz$ where $C$ is the indicated closed curve along the first quadrant part of the circle $\left|z\right|=2,$ and the indicated parts of the $x$ and $y$ axes. Hint: Don’t try to use Cauchy’s theorem! (Why not? Further hint: See Problem 2.3.)