Suppose $\vec{F}(x,y) = xy\vec{i} + (x-y)\vec{j}$ and $C$ is the triangle from $(4,0)$ to $(-4,0)$ to $(0,4)$ to $(4,0)$.

(a) Find the line integral of $\vec{F}$ along each segment of the triangle.

Along $C_1$, the line segment from $(4,0)$ to $(-4,0)$, the line integral is
Along $C_2$, the line segment from $(-4,0)$ to $(0,4)$, the line integral is
Along $C_3$, the line segment from $(0,4)$ to $(4,0)$, the line integral is

(b) Find the circulation of $\vec{F}$ around $C$.
Circulation =

(c) Find the circulation of $\vec{F}$ around $-C$.
Circulation =