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Use a Computer Algebra System to Find the Moment of Inertia

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Use a computer algebra system to find the moment of inertia I0I _ { 0 } of the lamina that occupies the region DD and has the density function ρ(x,y)=3xy\rho ( x , y ) = 3 x y , if D={(x,y)0xπ,0ysin(x)}D = \{ ( x , y ) \mid 0 \leq x \leq \pi , 0 \leq y \leq \sin ( x ) \} .


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