calculate-dz-z-with-z-C-z-1-

Question Number 37307 by math khazana by abdo last updated on 11/Jun/18

c a l c u l a t e \int_{γ} \frac{d z}{z} w i t h γ = {z \in C / ∣ z ∣= 1} .

Commented by prof Abdo imad last updated on 15/Jun/18

o i s p o l e o f f (z) = \frac{1}{z} \Rightarrow

\int_{γ} f (z) d z = 2 i π R e (f, 0) = 2 i π .