Use Green's Theorem to evaluate $\int_C \mathbf{F} \cdot d\mathbf{r}$. (Check the orientation of the curve before applying the theorem.)
$\mathbf{F}(x, y) = (y - \cos(y), x \sin(y))$, $C$ is the circle $(x - 5)^2 + (y + 9)^2 = 25$ oriented clockwise
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[-/1 Points] DETAILS SCALCET9M 16.4.032.
Calculate $\int_C \mathbf{F} \cdot d\mathbf{r}$, where $\mathbf{F}(x, y) = (x^2 + y, 4x - y^2)$ and $C$ is the positively oriented boundary curve of a region $D$ that has area 7.
