use the Divergence Theorem to calculate F Nd omega, where S is the boundary of the cylinder x^2+y^2<orequal to, 0<orequaltoZ<orequal to 3, with outward orientation and F(x,y,z)=<xy^2,yz^2,zx^2>.
use the Divergence Theorem to calculate F Nd omega, where S is the boundary of the cylinder x^2+y^2<orequal to, 0<orequaltoZ<orequal to 3, with outward orientation and F(x,y,z)=<xy^2,yz^2,zx^2>.
The divergence theorem states that
Now if we change to cylindrical coordinates we get
Since you didn't give the raduis of the cylindar I assumed it was 1.