Question: Compute (int_{C} mathbf{F} cdot d mathbf{r}) for the oriented curve specified. (mathbf{F}(x, y, z)=leftlangle z^{3}, y z, xightangle), quarter of the circle of radius 2

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

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