Question: Compute (int_{C} mathbf{F} cdot d mathbf{r}) for the oriented curve specified. (mathbf{F}(x, y)=leftlanglefrac{-y}{left(x^{2}+y^{2}ight)^{2}}, frac{x}{left(x^{2}+y^{2}ight)^{2}}ightangle), circle of radius (R) with center at the origin oriented counterclockwise

Compute \(\int_{C} \mathbf{F} \cdot d \mathbf{r}\) for the oriented curve specified.

\(\mathbf{F}(x, y)=\left\langle\frac{-y}{\left(x^{2}+y^{2}ight)^{2}}, \frac{x}{\left(x^{2}+y^{2}ight)^{2}}ightangle\), circle of radius \(R\) with center at the origin oriented counterclockwise


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