Use Green's Theorem to evaluate the line integral. Orient the curve counterclockwise unless otherwse indicated. (oint_{C} mathbf{F}
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Use Green's Theorem to evaluate the line integral. Orient the curve counterclockwise unless otherwse indicated.
\(\oint_{C} \mathbf{F} \cdot d \mathbf{r}\), where \(\mathbf{F}(x, y)=\left\langle x+y, x^{2}-yightangle\) and \(C\) is the boundary of the region enclosed by \(y=x^{2}\) and \(y=\sqrt{x}\) for \(0 \leq x \leq 1\)
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