Page 1 of 1

Contour integral

Posted: Tue Jul 12, 2016 4:29 am
by Tolaso J Kos
Let \(f(z)=\dfrac{1}{z} \) which is analytic on \( \mathbb{C}-\left \{ 0 \right \} \). Evaluate the integral \( \displaystyle \oint_\gamma f(z)\,dz \) whereas \(\gamma \) is a contour which runs from \( -1 \) to \( i \) and is contained in quadrants \(1 \) to \(4 \).