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Q#1
Complex Functions
GATE EE 2025
NAT
+2 marks
-0 marks
Let 
be a clockwise oriented closed curve in the complex plane defined by 
. Further, let 
be a complex function, where 
. Then,
__________ (round off to the nearest integer).
Explanation:
Method-1
Given: 
(-ve sign as contour is in clockwise direction, which is negative direction of angle)
Method-2
No poles of 
exist inside the contour 
is an analytic function inside the contour .
By Cauchy Integral Theorem
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