Question

-(a) State Cauchy's integral theorem for contour integration. Apply Cauchy's integral theorem to evaluate the integral: Ic 2 + 4 where C is a circle z = 1.5 taken anticlockwise. (Marks 6)

can you please give ?% right and detailed answer or pass to someone else... Please don't do it if you are not sure...Thank in advance.

Answer 1

1 -dz, where where C is the circle z= 1.5 C ( (0,0) and radius 1.5. Given C z1.5, which is a circle with center at 1 Let f(z) (z+4) f (z) isnot analytic at the points z, where z = ±2i which lies outsi de C f(z)is analytic wihin and on a given simple closedcontour C - and hence by Cauchy's theorem 1 dz 0 (2+4) C Cauchy's Integral theorem is not applicable