solved Evaluate the line integral of 1/z

Question : Evaluate the line integral of 1/z along unit circle in counter clockwise direction starting from z = 1 Solution: Since a complex line integral is evaluated as \[\int_{C}{f(z)}dz=\int_{t=a}^{b}f\left(z\left(t\right)\right)\frac{dz(t)}{dt}dt\] Given function \[f\left(z\right)=\frac{1}{z}\] and the parametrization of unit circle C…

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