I have no clue how to do part C because a) is non conservative
What I got for b) $f(x,y)=\dfrac{x^3}{3}+2yx+\dfrac{y^3}{3}+K$ (I don't know the symbol for the thing so I used f(x,y) instead. How do I do part c?
So what I think I must do: Change it to polar coordinates with $d\theta$ and $dr$, multiply by the Jacobian matrix determent? I don't know anything about the limits etc. ,but I'm asuming it would be $2\pi$ to $0$. the radius can be found by completing the square and finding radius. Am I correct?