Here is the problem i am working on...
evaluate the triple integral ∫∫∫ xy dV where E is the solid tetrahedron with vertices (0,0,0), (6,0,0), (0,1,0) and (0,0,7).
I sketched the region and got the following limits..
for x--- x=0 to x=6(1-y)
for y- - - y=0 to y=1
for z----z= 0 to z= 7(1-x/6-y)
i evaluated the integral with the order of integration dzdxdy and i got 15 but it's wrong.
can someone explain me if my bouds or order of integtation are wrong,