GATE EE 2026 Set 1 — Question 62
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Engineering Mathematics → Complex Variables → Contour Integration
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Question
The magnitude of the contour integralover the contour is ______(Round off to two decimal places)Note: is a complex variable and
Correct answer
25 to 25.6
Solution
The integrand has poles at and . The contour is a circle . The distance from the center to is (outside). The distance to is (inside). By Cauchy's Residue Theorem, the integral is . . The integral is . The magnitude is .
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