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

\(\mathbf{F}(x, y, z)=\left\langle z^{3}, y z, xightangle\), quarter of the circle of radius 2 in the \(y z\)-plane with center at the origin where \(y \geq 0\) and \(z \geq 0\), oriented clockwise when viewed from the positive \(x\)-axis