Calculus 3 Quiz
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VECTOR FIELDS & LINE/SURFACE INTEGRALS
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A vector field F(x,y)=(P(x,y),Q(x,y))\mathbf{F}(x,y) = (P(x,y), Q(x,y)) satisfies ∂P∂y=∂Q∂x\frac{\partial P}{\partial y} = \frac{\partial Q}{\partial x} in a simply connected domain DD. For any closed curve CC lying entirely within DD, what can be concluded about ∮CF⋅dr\oint_C \mathbf{F} \cdot d\mathbf{r}?
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