# Stoke's and Gauss's Theorum in proving div(curlA)=0

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1. Sep 15, 2015

### SquidgyGuff

1. The problem statement, all variables and given/known data
The problem puts forth and identity for me to prove: or . It says that I can use "straight-forward" calculation to solve this using the definition of nabla or I can use Gauss's and Stoke's Theorum on an example in which I have a solid 3D shape nearly cut in two by a curve C.

2. Relevant equations
Divergence Theorum
Stoke's Theorum

3. The attempt at a solution
I just can't seem to figure out how to start this. The two equations above are clearly suited to proving this identity, but I just can't see how.

2. Sep 16, 2015

### ehild

I think it is easier to use the definition of Nabla, and the definitions of cross product and dot product.

3. Sep 16, 2015

### SquidgyGuff

Oh and I misstated the equality above, it specifies that the div(curlA)=0 then it has continous second-order derivatives.