Divergence Theorem: Find Outward Flux of F (x3,x2y,xy)

[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.

 

[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?

 

[squenshl]

I got it. SWEET.