Prove that where . The definition of should be . Start with where we have used Problem 3-32 to interchange the order of the limit and the integral. On the other hand, we have by Stokes' Theorem that Comparing the two expressions, we see that two of the terms in the first expression match up with corresponding terms in the second expression. It remains to check that the remaining terms are equal.
Similar results hold for and .
So, these are also the values of .