Calculate the surface integral:
∫ ∫ with s on bottom. F dot dS where F (x,y,z) = = (2x + y + z ; x + 2y + z ; x + y + 2z)
where S is the surface of the box bounded by the planes x = 0, x = 1, y = 0, y = 4, z = 0, z = 5
I used the divergence theorem and got 120.
Calculate the surface integral seen there:
Thanks for bobbym for telling me about codecogs to make the stuff look better.
You can take codecog's output and put it between the math tags to create latex here.
Your answer of 120 by the divergence theorem is what I am getting. Hopefully, the conditions of that theorem have not been violated.
In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.