(1)

using stokes theorem and cutting the surface into 2 parts how can we prove that

$\displaystyle \int $ curl A.n dS = 0

assume the surface "S" to be smooth and closed, and "n" is the unit outward normal as usual.

(2)

How can you prove

$\displaystyle \int $ curl A.n dS = 0

using the divergence theorem?