- #1
Alem2000
- 117
- 0
the question is "evaluate [tex] \iiint z \,dv[/tex], of a solid tetrahedron bounded by the four planes x=0,y=0,z=0, and x+y+z=1"
I can set up the problem correctly but i can't seem to integrate it right
[tex]\int_{0}^1 \int_{0}^{1-x} \int_{0}^{1-x-y} z dzdydx[/tex]
[tex](1/2) \int_{0}^1 \int_{0}^{1-x} (1-x-y)^2dydx[/tex]
can somone please show me the last few steps of this problem?
I can set up the problem correctly but i can't seem to integrate it right
[tex]\int_{0}^1 \int_{0}^{1-x} \int_{0}^{1-x-y} z dzdydx[/tex]
[tex](1/2) \int_{0}^1 \int_{0}^{1-x} (1-x-y)^2dydx[/tex]
can somone please show me the last few steps of this problem?