definite integral

definite integral

n.

1. An integral that is calculated between two specified limits, usually expressed in the form ^b/_a (x)dx. The result of performing the integral is a number that represents the area under the curve of (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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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, <$>^b_af(x)dx, where f(x) is the given function and x = a and x = b are the limits of integration. Where F(x) = <$>f(x)dx, the indefinite integral, <$>^b_af(x)dx = F(b)-F(a)

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definite integral  (df-nt)

1. The difference between the values of an indefinite integral evaluated at each of two limit points, usually expressed in the form ^b/_a (x)dx. The result of performing the integral is a number that represents the area bounded by the curve of (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.

Thesaurus

Noun

1.

definite 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)