Find the flux ofFacross the surface sigma by expressing sigma parametrically.

F(x,y,z)=xi+yj+zk; sigma is the portion of the cylinder x^2+z^2=1 between the planes y=1 and y=-2, oriented by outward unit normals.

Parametrize the given surface as and . So we have the limits as and .

The surface is now .

To calculate the normal to the surface, we have, .

.

The flux is now calculated as

Could you substitute and complete this?