(See) Use Green’s Theorem to evaluate F(x,y)=(arctan y,-(xy^2)/(1+y^2)) around the curve
Question: Use Green’s Theorem to evaluate
\[\vec{F}\left( x,y \right)=\left( \arctan y,-\frac{x{{y}^{2}}}{1+{{y}^{2}}} \right)\]around the curve \(4{{x}^{2}}+9{{y}^{2}}=36\).
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