Complex Analysis: Theory and Applications · Problem 6.3.6

Complex Integration — Howell & Matthews

Mathematics — Complex Analysis · cauchy-goursat-theorem

Problem

Let

C

be the triangle with vertices

0

1

, and

i

and having positive orientation. Parametrize

C

and show that (a)

\displaystyle\int_C 1\,dz = 0

. (b)

\displaystyle\int_C z\,dz = 0