iterated integral
Americannoun
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a double integral that is evaluated by first integrating the integrand with respect to one variable with the second variable being held constant and then integrating the resulting function with respect to the second variable.
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a multiple integral of three or more variables that is evaluated by an extension of the above method.
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
Evaluate the iterated integral by integrating first with respect to y and then integrating first with resect to x.
From Textbooks • Mar. 30, 2016
The integral in each of these expressions is an iterated integral, similar to those we have seen before.
From Textbooks • Mar. 30, 2016
Again, just as in Double Integrals over Rectangular Regions, the double integral over a polar rectangular region can be expressed as an iterated integral in polar coordinates.
From Textbooks • Mar. 30, 2016
We can apply these double integrals over a polar rectangular region or a general polar region, using an iterated integral similar to those used with rectangular double integrals.
From Textbooks • Mar. 30, 2016
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Idioms from The American Heritage® Idioms Dictionary copyright © 2002, 2001, 1995 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company.
