Evaluate intcfzdz where fz nbspnbspnbsp and c is the path

Question

1. Evaluate ∫_cf(z)dz where f(z) =    and C is the path from z= -1-I to z = 1+I along the curve y = x³.

2. Evaluate ∫_c z^mz^-n dz where m & n are integers and C is the full unit circle centered at the origin taken counterclockwise.

3. Evaluate the contour integral ∫_c f(z)dz where the function f(z) is:

a) 1/z²+4 b) 1/(z²+4)² and C is the circle |z-i| = 2.

4. Evaluate ∫_c z^mz^-n dz where m & n are integers and C is the a quardrant of the full unit circle centred at the origin taken counterclockwise and joining 1 & the complex number "i".