Find the flux of F across 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?