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GATE EE 2021 Set 1 — Question 38

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MCQ+2 / -0.67MediumResidue TheoremComplex VariablesEngineering MathematicsContour Integration

Engineering Mathematics → Complex Variables → Contour Integration

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Question

Let (−1−j)(-1-j), (3−j)(3-j), (3+j)(3+j) and (−1+j)(-1+j) be the vertices of a rectangle CC in the complex plane. Assuming that CC is traversed in counter-clockwise direction, the value of the contour integral ∮Cdzz2(z−4)\oint_C \frac{dz}{z^2(z-4)} is
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