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definite integral

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definite integral

–noun Mathematics.
the representation, usually in symbolic form, of the difference in values of a primitive of a given function evaluated at two designated points.


Origin:
1875–80
Dictionary.com Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2009.
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definite integral  
n.  
  1. An integral that is calculated between two specified limits, usually expressed in the form b/a ƒ(x)dx. The result of performing the integral is a number that represents the area under the curve of ƒ(x) between the limits and the x-axis if f(x) is greater than or equal to zero between the limits.

  2. The result of an integration performed on a fixed interval.

The American Heritage® Dictionary of the English Language, Fourth Edition
Copyright © 2009 by Houghton Mifflin Company.
Published by Houghton Mifflin Company. All rights reserved.
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