definite-integral

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

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World English Dictionary
definite integral
 
n
maths
 a.  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
 b.  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)

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American Heritage
Science Dictionary
definite integral   (děf'ə-nĭt)  Pronunciation Key 
  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.


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