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Q#1
Complex Functions
GATE EC 2023
MCQ
+1 mark
-0.33 marks
The value of the contour integral,
, where the contour 
is
, taken in the counter clockwise direction, is
Explanation:
Let the contour integral,
The given denominator equation can be written as
Poles are given 
Only one poll is inside other is outside.
where 
lies outside '
'
by Cauchy's residue theorem,
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