![]() We also discussed several applications, such as finding the volume bounded above by a function over a rectangular region, finding area by integration, and calculating the average value of a function of two variables. We learned techniques and properties to integrate functions of two variables over rectangular regions. In Double Integrals over Rectangular Regions, we studied the concept of double integrals and examined the tools needed to compute them. 5.2.5 Solve problems involving double improper integrals.5.2.4 Use double integrals to calculate the volume of a region between two surfaces or the area of a plane region.5.2.3 Simplify the calculation of an iterated integral by changing the order of integration. ![]() 5.2.2 Evaluate a double integral by computing an iterated integral over a region bounded by two vertical lines and two functions of x, x, or two horizontal lines and two functions of y. ![]() ![]()
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