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Multivariable CalculusMediumDouble Integrals

Double Integrals · Medium problem

A uniform disk-shaped flywheel of radius 22 meters has density 33 kg per square meter. Find its moment of inertia about the axis through its center perpendicular to the disk, I=∬D(x2+y2) ρ dAI=\displaystyle\iint_D (x^2+y^2)\,\rho\,dA.