My Math Forum A little help with boundaries

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 January 13th, 2009, 06:17 AM #1 Newbie   Joined: Jan 2009 Posts: 2 Thanks: 0 A little help with boundaries I have a tetrahedron that is given by 2=z+x+y and the planes x=1, y=1 and z=1. And i want to find the volume of it. $\iiint\limits_E x\, dV$ These are the boundaries I've been able to find. $0 \le x \le 1$ $1 - x \le y \le 1$ $2 - x -y \le z \le 1$ The answer is supposed to be $\frac{1}{8}$ and i get $\frac{1}{12}$ and I suspect it is the boundaries fault....

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