improper integral
Americannoun
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Also called infinite integral. a definite integral in which one or both of the limits of integration is infinite.
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a definite integral in which the integrand becomes infinite at a point or points in the interval of integration.
noun
Etymology
Origin of improper integral
First recorded in 1940–45
Example Sentences
Examples are provided to illustrate real-world usage of words in context. Any opinions expressed do not reflect the views of Dictionary.com.
The convergence or divergence of an improper integral may be determined by comparing it with the value of an improper integral for which the convergence or divergence is known.
From Textbooks ● Mar. 30, 2016
Since the improper integral diverges to +∞, the area of the region is infinite.
From Textbooks ● Mar. 30, 2016
State whether the improper integral converges or diverges.
From Textbooks ● Mar. 30, 2016
Use Fubini’s theorem to evaluate the improper integral.
From Textbooks ● Mar. 30, 2016
We have seen that the integral test allows us to determine the convergence or divergence of a series by comparing it to a related improper integral.
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.
