Let F = y^2 ~i + x ~j + z ~k.
Let S be the curved surface of the cylinder x^2 + y^2 = 1 for 0 <= z <= 3.
Calculate the outwards flux of F through S.
I used the divergence theorem to get my solution, by finding divF = 1.
I thought that would mean that the flux would be the volume of the cylinder, but the answer is actually 0. Could someone please explain the proper process?
Oh, and is there a way to use latex when asking questions?

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Yeah, like this for example and the code:
$$\nabla \cdot F = 0 $$
```
$$\nabla \cdot F = 0 $$
```

Ok cheers haha

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