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Multivariable CalculusMediumDouble Integrals

Double Integrals · Medium problem

A thin plate occupies the region between y=x2y=\dfrac{x}{2} and y=xy=\sqrt{x} for 0≤x≤40\le x\le4 (in metres), and its density is ρ(x,y)=x+y\rho(x,y)=x+y kilograms per square metre. Find the mass of the plate in kilograms.