Answer to Question #231337 in Chemical Engineering for pavani

Question

11)Evaluate∫C Im(Z)dz, where C is z = {(t-2i, 1≤t≤2. ; 2-i(4-t), 2<t≤3'

Answer 1

$∮c z²-2z/(z+1)^2 (z²+4)dz$

$=∮𝐵(𝑖/2)1𝑧2+1𝑑𝑧=∮$

$=∮_{B2}{i/2} (1/2i)/(z+1)^2 dz-\oint_{B2}$

$=\frac{1}{2i}-\frac{1}{2i}$

$=0$