definite integral(redirected from Definite Integrals)
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Related to Definite Integrals: Indefinite integrals
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.
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)
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.