Posted by sol on Thursday, April 5, 2012 at 10:07am.
this is pretty straightforward. Nice rectangular base.
v = ∫∫R f(x,y) dA
= ∫[0,1]∫[0,2] 4-2x-y dy dx
= ∫[0,1] (4y - 2xy - 1/2 y^2)[0,2] dx
= ∫[0,1] (6-4x) dx
= (6x - 2x^2)[0,1]
= 4
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