Given complex numbers $z_1$ and $z_2$, let $[z_1, z_2]$ denote the straight line segment path from $z_1$ to $z_2$. Recall that we can parametrize this by $x(t) = z_1 + t(z_2 - z_1)$ for $t \in [0,1]$. In the case $C=[1-i,1+i]$, sketch $C$ and evaluate the integral of the complex conjugate squared.
So I have an exam tomorrow and this topic is on it, and I have been trying so hard to figure out how to do it, but I cannot figure it out. So do I take the integral of $x(t)x'(t)$ or what. Can someone please explain to me how I do contour integration and how I would go about doing this problem. This is a big part of my exam and I really need to learn it.
Thanks so much.