1) How do you integrate 1/ [z^2] over the unit circle? After you integrate, do you put it in polar form or do you replace z with x + iy then solve it? I keep getting zero. It should exist since z=o is undefined, right? 2) How do you integrate x dz over gamma, when gamma is the straight line path from 0 to 1+i? I have looked at some examples that put the line in y=mx +b form, then integrate it w/ respect to y, but my professor gave us this equation: gamma(t)= (1-t)P + tQ. I don't know where it comes from, so that's confusing me. The fact that it's the integral of x dz confuses me, too. Thanks.