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(See Solution) A lamina has the shape of a closed region bounded by the graphs of x^2+y^2=4 and x+y=2, and has density \rho (x,y)=xy. Write the iterated

Question: A lamina has the shape of a closed region bounded by the graphs of \[{{x}^{2}}+{{y}^{2}}=4\] and \[x+y=2\] , and has density \[\rho (x,y)=xy\] . Write the iterated integral for the moment of inertia about the \[y\] -axis. Then evaluate the integral.

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