Question

calculate the triple integral (xy)dV where E is the telrahedron with verticeis (0,0,0), (1/3,0,0), (0,1,0), and (0,0,1)

Answer 1

0 < y < 1
z^2 + y^2 = 1, so
\[z <\sqrt{1-y^2}\]
0 < z < sqrt(1-y^2)

Answer 2

what should i integrate x to andd from

Answer 3

0<x<1/3