# Calculating the Integral of a non conservative vector field

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?

• Can you give the title of the textbook ? – Tony Piccolo Oct 23 '14 at 19:16
• It a HW assignment, we have no textbook – Nick B Oct 23 '14 at 20:51
• See HW problem 5. – Tony Piccolo Oct 23 '14 at 22:14
• What about my thinking, am I correct? The problem you sent me uses some notations that I don't understand, i'm not too sure about it. – Nick B Oct 24 '14 at 14:47
• The point is I don't know what they gave you as a definition of $$\int_C\, \underline F \cdot d\underline r$$ – Tony Piccolo Oct 24 '14 at 22:00