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3.4.2. The geometric meaning of the double integral

Lecture



Let an integrable function f ( x, y ) take in the domain D only positive values. Then the double integral   3.4.2.  The geometric meaning of the double integral numerically equal to the volume of a vertical cylindrical body constructed on the basis of D and bounded above by a corresponding piece of the surface z = f ( x, y ).


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Mathematical analysis. Integral calculus

Terms: Mathematical analysis. Integral calculus