I’ll spare the specifics for brevity’s sake, but in essence the problem I’m posed is finding $ $ \int_C \frac{(z-1)^3 \cdot e^z \cdot cos(z)}{z}dz$ $ along two different closed loops $ C$ . Each is a rectangle, oriented clockwise. One of them encloses the discontinuity of this function (i.e. $ z=0$ ) and another doesn’t.Read more