Set up integrals for both orders of integration. Use the more convenient order to evaluate the integral over the plane region R. sin x sin y dA R: rectangle with vertices (- π, 0), (π, 0 ) , ( π, π/ 4) , (- π, π/4 ) Step 1 Note that the given region R is bounded by the lines x = - ,X = ,y = 0, and y = 4 Thus, the graph of the region is given by the following. -y 3 A 3 7 KIN

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