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xey3 dydx, sketch the domain of integration. Then change the order of integration and compute. Explain the simpli cation achieved by changing the order. Solution. The domain of integration is 0 x 1 and x y 1. x= 0 x= 1 y= x y= 1 Changing the order, so the domain of integration is equivalently given by 0 y 1 and 0 x y, Z x=1 x=0 Z y=1 y=x xey3 ... ................
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