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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 of definite integral
1875-80 Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2015.
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British Dictionary definitions for definite-integral

definite integral

  1. the evaluation of the indefinite integral between two limits, representing the area between the given function and the x-axis between these two values of x
  2. the expression for that function, ʃbaf(x)dx, where f(x) is the given function and x = a and x = b are the limits of integration. Where F(x) = ʃf(x)dx, the indefinite integral, ʃbaf(x)dx = F(b)–F(a)
Collins English Dictionary - Complete & Unabridged 2012 Digital Edition
© William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
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definite-integral in Science
definite integral
  1. The difference between the values of an indefinite integral evaluated at each of two limit points, usually expressed in the form b/a ƒ(x)dx. The result of performing the integral is a number that represents the area bounded by 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® Science Dictionary
Copyright © 2002. Published by Houghton Mifflin. All rights reserved.
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