Let z be a complex variable.If $f(z) = \frac{sin(πz)}{z^2 (z-2)}$ and C is the circle in the complex plane with |z| = 3 then ∫∫Cf(z) dz is

The value of the contour integral, ∮C(z+2/z2+2z+2)dz, where the contour C is {z: |z + 1 - 3/2 j| = 1}, taken in the counter clockwise direction, is

A simple closed path C in the complex plane is shown in the figure. If∮C (2z)/(z2 − 1) dz = −iπA,where i = √−1, then the value of A is ______ (rounded off to tw...