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double integral

American  

noun

Mathematics.
  1. an integral in which the integrand involves a function of two variables and that requires two applications of the integration process to evaluate.


Example Sentences

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The double integration in this example is simple enough to use Fubini’s theorem directly, allowing us to convert a double integral into an iterated integral.

From Textbooks Mar. 30, 2016

Set up a double integral for finding the value of the signed volume of the solid S that lies above R and “under” the graph of f .

From Textbooks Mar. 30, 2016

As with rectangular coordinates, we can also use polar coordinates to find areas of certain regions using a double integral.

From Textbooks Mar. 30, 2016

The basic idea is that the evaluation becomes easier if we can break a double integral into single integrals by integrating first with respect to one variable and then with respect to the other.

From Textbooks Mar. 30, 2016

Now that we have sketched a polar rectangular region, let us demonstrate how to evaluate a double integral over this region by using polar coordinates.

From Textbooks Mar. 30, 2016

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