Question: Compute the line integral (int_{mathbf{c}} mathbf{F} cdot d mathbf{r}) for the given vector field and path. (mathbf{F}(x, y)=leftlangle 2 x y, x^{2}+y^{2}ightangle), the part of

Compute the line integral \(\int_{\mathbf{c}} \mathbf{F} \cdot d \mathbf{r}\) for the given vector field and path.

\(\mathbf{F}(x, y)=\left\langle 2 x y, x^{2}+y^{2}ightangle\), the part of the unit circle in the first quadrant oriented counterclockwise

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