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# Multivariable Calculus : Double Integral - The Polar Coordinates

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Solve by double integration in polar coordinates: Find the volume bounded by the paraboloids z = x^2 + y^2 and z = 4 - 3x^2 - 3y^2

##### Solution Summary

A double integral is calculated.

##### Solution Preview

We define
x=rcos(theta)
y=rsin(theta)
z=r
then the jacobian would be r. We must find

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