Let $\vec F(x,y) = (-y, x+y)$. Recall $\Phi = \int_C Mdy-Ndx$.
- Find the flux of $\vec F$ across the straight line from $(2,0)$ to $(0,2)$.
- Find the flux of $\vec F$ across the straight line from $(0,2)$ to $(0,0)$.
- Find the flux of $\vec F$ across the straight line from $(0,0)$ to $(2,0)$.
- For $f=x^2+y^2$ and $C$ a counterclockwise circle of radius 3 centered at the origin, compute $\int_C fds$.
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