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nautolian
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Homework Statement
∫∫∫V 9z2 dxdydz, where V is the solid defined by:
-1≤x+y+3z≤1, 1≤2y-z≤7, -1≤x+y≤1
Homework Equations
The Attempt at a Solution
I did this using the bounds, 1/3(-x-y-1)<=z<=(1/3)(-x-y+1), -x-1<=y<=1-x, -3/2<=x<=1/2 but I think the answer is wrong is there a better way to do this with change of variables? Thanks, any help would be greatly appreciated.