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 ?
1] [integral] 2[degrees] dp = p [mathematical expression not reproducible] 2t sin 30[degrees] = t or 1t sin 90[degrees] = t d2sin45[degrees] cos 45[degrees] = d [square root of -1 = i Topic Determinant Derivatives Derivatives High Order Derivatives Derivatives Indefinite Integrals Indefinite Integrals Indefinite Integrals Definite Integrals Trigonometry Trigonometry Complex Numbers Table 1 Various Mathlets and Their Possible Usage # Mathlet Example 1 [square root of [DELTA[].
A second section covers applicable real and and complex functions, with such topics as algebra of complex numbers, computation of definite integrals, and rudiments of the Fourier transform.
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.
0], [tau]] differentiation range is defined, identical with that which appears in classical definite integrals.