Solve the following problems and show your work:

a). Find the partial decompositions of the rational function R(z) = 3z--1 Z2 (z+1) b). Find all the values of i3 c). Evaluate the integral J z dz bar square, where I is the line segment from 1 to i. d). Evaluate the integral JJ i...i Z (z+2) (2-1) dz , where r is the circle |z| = 3 traversed once counterclockwise