The question is
Let r=r(x,y,z) where it is the distance from a point O. Evaluate
\oint\nabla(1/r)*ndS
(where * is the dot product)
over the ellipsoid
x^2/4 +y^2/9+z^2/25=1
I thought the answer was 0 since the ellipsoid is a simply connected region in R^3 and the...