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GATE EE 2025 Set 1 — Question 55

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NAT+2 / -0EasyCauchy's Integral TheoremComplex VariablesEngineering MathematicsContour Integration

Engineering Mathematics → Complex Variables → Cauchy's Integral Theorem

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Question

Let CC be a clockwise oriented closed curve in the complex plane defined by ∣z∣=1|z| = 1. Further, let f(z)=jzf(z) = jz be a complex function, where j=−1j = \sqrt{-1}. Then, ∮Cf(z)dz=_______\oint_C f(z) dz = \_\_\_\_\_\_\_ (round off to the nearest integer).
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