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Help me out sci, im studying for a Calc 3...
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Help me out sci, im studying for a Calc 3 test i have on friday and im having trouble with a problem from the textbook (pic related)
Find the Value of the triple integral;
$\iiint\limits_E \,xy \mathrf{d} V\$
(my latex may suck, its the triple integral of (xy)dV on the region E). Where E is the pholyedron with vertex (0,0,0) (1,0,0) (0,2,0) and (0,0,3).
The problem im having is that the solution on the textbook is (8/3e). i really dont know how you could end up with e on the result.
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>>7793227
latex didnt went so bad, just ignore the red part.
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>>7793227
oh and btw, what i did was the iterated integral where:
0<x<1
0<y<2-2x
0<z<3-(3y/2)-3x
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$\sum_{n=0}^\infty \frac 1 {n!} = e$
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I came up with your bounds independently

http://www.wolframalpha.com/input/?i=triple+integral+xy+dzdydx+from+x+%3D+0+to+1%2C+y+%3D+0+to+2%281-x%29%2C+z%3D+0+to+3-3x-3%2F2y

the omnisage says 1/10
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>>7793227
Sounds like the book is wrong
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>>7795082
And you, OP, should go to office hours and ask about the problem (especially if it was an assigned problem)