Use Stokes' Theorem to evaluate $\int_C \vec{F} \cdot d\vec{r}$ where $\vec{F}(x, y, z) = \langle 4, x^2, x + y + z \rangle$ and $C$ is the triangle with vertices $(1, 0, 0)$, $(0, 4, 0)$, and $(0, 0, 1)$ oriented counter-clockwise when viewed from above.
$\int_C \vec{F} \cdot d\vec{r} = $
(Give an exact answer.)