ok i that with the limits
-2<Z<2
0<\theta<\pi
0<r<4
now do i need to change 4(x^2)y to 4(r^2)(cos^2\theta)sin\theta? when i integrate that get 0? I am not sure if that's correct.
[b]1.The problem asks " use the divergence theorem to evaluate the surface integral \int\int F.ds
for F(x,y,z) = <x3y,x2y2,−x2yz>
where S is the solid bounded by the hyperboloid x^2 + y^2 - z^2 =1 and the planes z = -2 and z=2.
i know that the
\int\int F.ds = \int\int\int divFdv...