# Divergence ( Calc III )

1. Dec 11, 2011

### craig16

1. The problem statement, all variables and given/known data

Use the Divergence Theorem to evaluate ∫∫S (8x + 10y + z2)dS where S is the sphere x2 + y2 + z2 = 1.

2. Relevant equations

∫∫S F dS = ∫∫∫B Div(F) dV

3. The attempt at a solution

I dunno, this isn't a vector field so I don't know how to take the divergence of it so I can integrate..

2. Dec 11, 2011

### LCKurtz

Use the X2 button above the advanced editing box for superscripts. Are you certain you have transcribed the problem correctly?

3. Dec 12, 2011

### craig16

Yeah, I'm sure.
have you ever seen something like this?

4. Dec 12, 2011

### LCKurtz

As it is written it is just a scalar surface integral which makes sense and can be evaluated. The reason I asked is your relevant equation: ∫∫S F dS = ∫∫∫B Div(F) dV isn't written correctly; it should be $\iint_S \vec F \cdot d\vec S$ on the left. I just wondered if your original problem was mistranscribed. But, no, your original problem wouldn't have anything to do with the divergence theorem as it is written.

Last edited: Dec 12, 2011
5. Dec 12, 2011

### craig16

Which is why it makes me curious that they asked me to use the divergence theorem.
lol.. I dunno

6. Dec 12, 2011

### LCKurtz

I'm curious too. Why don't you ask your teacher and tell us what you find out?

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