$(Sections16\mathrm{.}4,19\mathrm{.}2)$

Use Stokes's theorem $to$ evaluate $o{\displaystyle \underset{C}{\overset{\phantom{}}{}}}{F}_{*}d{r}_{?}$ where

$F_{x,y,z}=(2y(x-z),x^2+z^2,y^3)$

and $Cis$ the positively oriented boundary $of$ the part $of$ the plane $2x+3y+4z=12x0,y0$ and $z0C$ and the surface $Sof$ which $itis$ a boundary$-$ then apply Stokes and evaluate

the surface integral