(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Prove that ∫u∇vdl= - ∫v∇udl

Both integrals are over closed surfaces.

2. Relevant equations

The question is being asked in a chapter over Stoke's Theorem. However, I'm confused because I think found the solution without invoking the theorem... Which leads to...

3. The attempt at a solution

I used integration by parts to derive

∫u∇vdl= uv - ∫v∇udl

However since it's over a closed surface, I believe (uv) goes to zero. Is this the correct proof? Thanks.

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# Homework Help: Probably simple proof (Stoke's Theorem)

Can you offer guidance or do you also need help?

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