Question

Let Q be the tetrahedron with vertices (0,0,0), (1,1,0), (0,1,0), and (0,1,1) and consider the triple integral { \int \int Q \int F(x,y,z) dV }
Rewrite the integral as an iterated integral in the indicated order. (*do not integrate*)
1. The order dz dx dy
2. The order dy dx dz
(Note: first come up with the equations for each of the planes that bound the tetrahedron. The bottom and side planes should be simple; the top plane is obtained by finding the equation of a plane given three points on the plane. Ensure the equation for the top plane is satisfied by the three points you know are in the plane before continuing.)
3. Suppose F(x,y,z)=1. Evaluate integral in #2.