# Math Help - Surface Integral

1. ## Surface Integral

I thought about doing the divergence theorem, but then quickly noticed nothign differentiated

$\iint_s F.n d\sigma F = zi + j -xyk$and S is the surface cut from the cylinder ${y}^{2 } + {z}^{ 2} =1, z \geqslant 0$. by the planes $x =0, x=2$

2. F is solenoidal and applying the divergence theorem to that surface isn't a problem, so the outward flux is zero.

3. Originally Posted by Mondreus
F is solenoidal and applying the divergence theorem to that surface isn't a problem, so the outward flux is zero.
So then the answer will be 0, because your integral will now be multiplied by 0?