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## Homework Statement

The following vector field is given: F = < x + y^3, y, z - y^3 >

Let T be the solid given in cylinder coordinates by: r [0,1], tetha [0, pi], z [0, 2]

Find the flux out of the curved part of the surface of T.

**2. The attempt at a solution**

The normal vector n is < x, y, 0 >

F*n is therefore 1 + xy^3

Then I need dS = sqrt(1 + z

_{x}

^{2}+ z

_{y}

^{2}) dx dy. Is this simply 1 dx dy?