$(1$ point$)$ Use the Divergence Theorem to calculate the surface integral $\_($S$)($:$6$xye$^(2$z$),2$xy$^(2)$z$^(3),-3$ye$^(2$z$)$:$)*$dS

where S is the surface of the box bounded by the coordinate planes and the planes x$=1,$y$=7$ and z$=5.$

$\_($S$)($:$6$xye$^(2$z$),2$xy$^(2)$z$^(3),-3$ye$^(2$z$)$:$)*$dS$=\backslash$int$\_($x$\_(1))^($x$\_(2))\backslash$int$\_($y$\_(1))^($y$\_(2))\backslash$int$\_($z$\_(1))^($z$\_(2))$

dzdydx

where

x$\_(1)=$

x$\_(2)=$

$\_($S$)($:$6$xye$^(2$z$),2$xy$^(2)$z$^(3),-3$ye$^(2$z$)$:$)*$dS$=$

y$\_(1)=$

y$\_(2)=$

z$\_(1)=$

z$\_(2)=$