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

\(\mathbf{F}(x, y)=\left\langle x^{2}, x yightangle\), part of circle \(x^{2}+y^{2}=9\) with \(x \leq 0, y \geq 0\), oriented clockwise