Evaluate the surface integral.

${}_{S}F*dS$ for the given vector field $F$ and the oriented surface $S.$

$F(x,y,z)=(z^{2}x+tan{z}^3)i+(\frac{4}{3}{y}^3+4z^2)j+(x^{2}z+y^3)k$

$S$ is the part of the ellipsoid $x^2+4y^2+z^2=4,y0,$ orientation in the direction of the positive $y-$axis. use div and minus S$2!!!$