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"(adsbygoogle = window.adsbygoogle || []).push({});

I can set up the problem correctly but i cant 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?

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# Homework Help: Help integrating

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