(See Solution) Let F(x, y)= . Compute ∫_C F • d \vecs, where C is the circle of radius 1 centered at the origin
Question: Let \(\vec{F}(x, y)=\left\langle\frac{-y}{x^{2}+y^{2}}, \frac{x}{x^{2}+y^{2}}\right\rangle .\) Compute \(\int_{C} \vec{F} \cdot d \vec{s}\), where \(C\) is the circle of radius 1 centered at the origin orientated counterclockwise.
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