definite integral

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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.

definite integral

n
(Mathematics) 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, ∫baf(x)dx, where f(x) is the given function and x = a and x = b are the limits of integration. Where F(x) = ∫f(x)dx, the indefinite integral, ∫baf(x)dx = F(b)–F(a)

def′inite in′tegral


n.
the representation, usu. in symbolic form, of the difference in values of a primitive of a given function evaluated at two designated points. Compare indefinite integral.
[1875–80]
ThesaurusAntonymsRelated WordsSynonymsLegend:
Noun1.definite integral - the integral of a function over a definite intervaldefinite integral - the integral of a function over a definite interval
integral - the result of a mathematical integration; F(x) is the integral of f(x) if dF/dx = f(x)
Translations
određeni integral
定積分
References in periodicals archive ?
Derivatives, indefinite and definite integrals, and infinite series are analyzed next.
In this paper, a novel algorithm based on Harmony search and Chaos for calculating the numerical value of definite integrals is presented.
Thus, in general, the probability 1/4[pi][OMEGA] expressed in terms of definite integrals (14)-(15), which, in turn, can be calculated by known methods.