0
13kviews
$\oint \frac{e^{2z}}{(Z+1)^4}dz$ where c is the circle |z-1|=3.
3 Answers
1
4.3kviews

The path of integration is the circle with centre (1, 0) & radius =3

The points at which the function is not analytic are z= -1 which lies inside C .

By Cauchy’s Integral formula, value of the integral is given by

$∮ \frac{e^{2z}}{(z+1)^4} \ dz$

= $ \frac{2πi}{3!} [\frac{d^3}{dz^3} …

Create a free account to keep reading this post.

and 4 others joined a min ago.

Please log in to add an answer.