?Let\(\mathbf{F}(x, y)=\frac{\left(2 x^3+2 x y^2-2 y\right) \mathbf{i}+\left(2 y^3+2 x^2

Chapter 16, Problem 38

(choose chapter or problem)

Let

\(\mathbf{F}(x, y)=\frac{\left(2 x^3+2 x y^2-2 y\right) \mathbf{i}+\left(2 y^3+2 x^2 y+2 x\right) \mathbf{j}}{x^2+y^2}\)

Evaluate \(\oint_C \mathbf{F} \cdot d \mathbf{r}\), where C is shown in the figure.

                                   

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