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December 5th, 2014, 09:21 PM   #1
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Divergence Theorem help

Use the Divergence Theorem to evaluate the flux:

F = <x^3, 0, y^3>, S is the octant of the sphere x^2+y^2+z^2 = 4, in the first octant (x,y,z) >= 0

I said this would be:

Trip Integral(3p^4(cos(x))^2(sin(y))^3+ 3p^4(cos(x))^2(sin(y)))dpdydx

from 0<=x<=pi/2, 0<=y<=pi/2, 0<=p<=2

can someone tell me what they get when they compute the problem?
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