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**TheRekz** A vector field $\displaystyle \vec{G} $ in 3-space is defined outside the cylinder $\displaystyle x^2 + y^2 = 4 $

$\displaystyle \vec{G} = \frac{6y\vec{i}-6x\vec{j}}{x^2+y^2} $

Find $\displaystyle \int\limits_C \vec{G} \cdot · d\vec{r} $ where C is the circle $\displaystyle x^2 + y^2 = 16$ in the xy-plane and oriented counterclockwise when viewed from above.

I am planning to use green's theorem to solve this problem and have found the curl to be:

\frac{12x^2}{x^2+y^2) is this true?? Then I need to parametrize the circle.. and integrate it..