Show, using Stokes' Theorm, that
Firstly Stokes gives us:
The second part of this is zero for any vector, so this leaves the integral as:
Anyone any ideas?
Cheers in advance!
Expand out what is inside the parenthesis and you will get zero (As long as is twice continuously differentiable)
Remember 2nd continuous partial derivatives commute Clairaut's theorem
Symmetry of second derivatives - Wikipedia, the free encyclopedia