Find the exact volume of the solid between the paraboloids [itex]z=2x ^{2}+y ^{2}[/itex] and [itex]z=8-x ^{2}-2y ^{2}[/itex] and inside the cylinder [itex]x ^{2}+y ^{2}=1[/itex].(adsbygoogle = window.adsbygoogle || []).push({});

I really don't know how to set this up. Would it be something like ∫∫(2x^2+y^2)-(8-x^2-2y^2)dA + ∫∫(x^2+y^2-1)dA ?

If so, how would I find the bounds of integration?

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# Volume (Double Integral)

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