GATE EE 2014 Set 3 — Question 36
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Engineering Mathematics → Complex Variables → Cauchy's Integral Theorem
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Question
Integration of the complex function , in the counterclockwise direction, around , is
Correct answer
(C) π i
Solution
The function is .
The singularities (poles) are at and .
The contour is a circle , which is centered at with radius .
The singularities (poles) are at and .
The contour is a circle , which is centered at with radius .
- The pole lies inside the contour .
- The pole lies outside the contour .
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