evaluate the triple integral. t 4x2 dv, where t is the solid tetrahedron with verticies (0, 0, 0), (1, 0, 0), (0, 1, 0), and (0, 0, 1)

The region T corresponds to the area under the plane x + y + z = 1 in the first quadrant. So we have, for instance,

which depends on the order of integration we choose; in this case, I use dz dy dx.

Then the integral is

step-by-step explanation:

1. the cylinder is a. 54

2.   a.108 /