# Divergence theorem

1. Apr 20, 2010

### squenshl

Another question of a practice test.
How do I use the Divergence theorem to find the outward flux of the field F = (x3,x2y,xy) out through the surface of the solid U = (x,y,z): 0 < y < 5-z, 0 < z < 4-x2. The answer is 4608/35.

2. Apr 21, 2010

### LCKurtz

What are you stuck on? You can calculate $\nabla \cdot F$, right?

Have you sketched the volume? Do you see why the triple integral is easiest to set up if you don't integrate in the z direction first?

3. Apr 21, 2010

### squenshl

I got it. SWEET.