Contour integral

Complex Analysis
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Tolaso J Kos
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Contour integral

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Post by Tolaso J Kos »

Let $f(z)=\dfrac{1}{z}$ which is analytic on $\mathbb{C} \setminus \left \{ 0 \right \} $. Evaluate the integral $\displaystyle \oint \limits_\gamma f(z)\,{\rm d}z $ where $\gamma $ is a contour which runs from $-1$ to $ i$ and is contained in quadrants $1$ to $4 $.
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