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1. The problem statement, all variables and given/known data

Find the volume V of the solid S bounded by the three coordinate planes, bounded above

by the plane x+ y+ z = 2, and bounded below by the plane z = x+ y.

2. Relevant equations

x + y + z = 2

z = x + y

3. The attempt at a solution

[itex]\int_{0}^{2}\int_{-x}^{2-x}\int_{x+y}^{2-y-x}dzdydx[/itex]

So I used the above triple integral and got -4(did it twice), wolfram-alpha's calculator gives me 0 and the textbook answer is 1/3

So obviously I did something wrong in the triple integral and in identifying the limits.

But I just want to know the right limits for the above question as I have problems identifying them (I drew traces(attached) on the planes but not sure if the region's right)

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# Homework Help: Triple Integral to find vol.

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