2. Let I be the contour given by the square with vertices 2+ 2i, -2+2i, -2...

Transcribed Image Text:

2. Let I be the contour given by the square with vertices 2+ 2i, -2+2i, -2 - 2i and 2- 2i, oriented positively and traversed once. Evaluate the following integrals: cOS z dz z(z2+8) (a) (3 points) r e dz (z-iT/2)" (b) (4 points) r where n is a positive integer P(z) dz z2-1 (c) (4 points) r where P is a polynomial function 2. Let I be the contour given by the square with vertices 2+ 2i, -2+2i, -2 - 2i and 2- 2i, oriented positively and traversed once. Evaluate the following integrals: cOS z dz z(z2+8) (a) (3 points) r e dz (z-iT/2)" (b) (4 points) r where n is a positive integer P(z) dz z2-1 (c) (4 points) r where P is a polynomial function