Complex Analysis: Theory and Applications · Problem 4

Complex Integration — Howell & Matthews

Mathematics — Complex Analysis · complex-definite-integrals

Problem

Find the value of

\int_C z\exp z\,dz

, where

C

is the line segment from

-1-i\frac{\pi}{2}

2+i\pi

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