Complex Analysis: Theory and Applications · Problem 14

Complex Integration — Howell & Matthews

Mathematics — Complex Analysis · complex-definite-integrals

Problem

Find the value of

\int_C \frac{z-2}{z^2-z}\,dz

, where

C

is the line segment from

2

2+i

, using Theorem 6.9 and explain why you are justified in using it.