Question

All the answers should be written in a standard form.

Compute the following complex integral

$\int _{C}e^{z}cosh(e^{z})dz$

where the contour of integration is given by the following parametric curve

$C :={ln(2+t) + i\frac{\pi }{3-t}:t \in [0,1]}$

Answer 1

UNIVEUNG EUNDE UN MIEHEN Given ez ceph (ez dz Je tothereth to tatt titt [0,1] (3-1 ) but off and pretty are are analyfic - function on t. 3 with the che in analyftu forschen Ч СОНОГ so By Cauchy's theorem, we get edz so 2 ਰੇਦ ਭ