How would I go about solving the line integral of ((e^z)+z)/(z-2))dz along the unit circle and along a circle of radius 3 centered at 0? I know how to parametrize the curves, so that's not a problem. I tried using the standard method for complex line integrals, but it got really messy, so I assume there is an easier way. I suspect I'm supposed to use Cauchy's formula, but I haven't had much practice with it and I'm not sure how to apply it here.