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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We can use Fubini’s theorem to write and evaluate a double integral as an iterated integral.
From Textbooks • Mar. 30, 2016
The key tool we need is called an iterated integral.
From Textbooks • Mar. 30, 2016
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 iterated integral may be replaced equivalently by any one of the other five iterated integrals obtained by integrating with respect to the three variables in other orders.
From Textbooks • Mar. 30, 2016
Definitions and idiom definitions from Dictionary.com Unabridged, based on the Random House Unabridged Dictionary, © Random House, Inc. 2023
Idioms from The American Heritage® Idioms Dictionary copyright © 2002, 2001, 1995 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company.
