Please only do 8. 7. Compute fr Re zdz along the directed line segment lL llomん 8. Let C be the perimeter of the square with vertices at the points z = 0, z = 1, z = 1 + i, and z = i traversed once...
2-1/2dz if C is a polygonal line with vertices 2,1 + i,-1 i,-2 (without the segment [-2,2) and z-1/ is a principal value. Hint: consider a particular branch which is analytic on the contour uate the following integrals (all contours are positively oriented): cosh(z) 3 dz if C is a square of vertices 1 ti,-1ti C 2 sin(2) dz if C is a circle 3 2(2,2 2 3 dz if C is a rectangle with sides along the lines x-1,x--1,y...