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## Homework Statement

Find the value of the surface integrals by using the divergence theorem

[tex]\vec{F} = (y^2z)\vec{i} + (y^3z)\vec{j} + (y^2z^2)\vec{z}[/tex]

S: [tex] x^2 + y^2 + z^2 [/tex]

Use spherical coordinates.

## Homework Equations

## The Attempt at a Solution

I've gotten the integral I think. I want to make sure before I go along with evaluating it.

[tex]\int _0^{2\pi} \int _0^{\pi} \int _0^2 { (7\rho^3 \sin^2{\phi} \sin^2{\theta} \cos{\phi} } \rho^2 d \rho d \phi d \theta[/tex]

My latex is all messed up... maybe a mod can fix it for me?

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