Triple Integral: g(x, y, z) = x y^2 z^2

[Daniel_Feldman]

I need to set up the integral for the region E of g(x,y,z)dV. E is the region bounded in the first octant below z=x(6-x)+y(8-y).

g(x, y, z) = x (y^2) z^2

I need to set up the triple integral using three different orders of integration. I'm not quite sure how to approach this one.

 

[Daniel_Feldman]

I think that this integral might need to be broken down...but I am not sure how.