Use Stoke's Theorem to evaluate ${\displaystyle \underset{}{\overset{\phantom{}}{}}}F*dr$ where $F=($:$8x+7y,7y+2z,2z+6x$:$)$ and $$ is the triangle with vertices $(4,0,0),(0,1,0)$ and $(0,0,4)$ orientated so that the vertices are traversed in the specified order.

The line integral equals