Antiderivative vs. Integral

Antiderivativenoun

(calculus) A function whose derivative is a given function; an indefinite integral

Antiderivative

In calculus, an antiderivative, inverse derivative, primitive function, primitive integral or indefinite integral of a function f is a differentiable function F whose derivative is equal to the original function f. This can be stated symbolically as F' = f.

Integraladjective

Constituting a whole together with other parts or factors; not omittable or removable

Integraladjective

(mathematics) Of, pertaining to, or being an integer.

Integraladjective

(mathematics) Relating to integration.

Integraladjective

(obsolete) Whole; undamaged.

Integralnoun

(mathematics) A number, the limit of the sums computed in a process in which the domain of a function is divided into small subsets and a possibly nominal value of the function on each subset is multiplied by the measure of that subset, all these products then being summed.

Integralnoun

(mathematics) Antiderivative

Integraladjective

Lacking nothing of completeness; complete; perfect; uninjured; whole; entire.

Integraladjective

Essential to completeness; constituent, as a part; pertaining to, or serving to form, an integer; integrant.

Integraladjective

Of, pertaining to, or being, a whole number or undivided quantity; not fractional.

Integralnoun

A whole; an entire thing; a whole number; an individual.

Integralnoun

An expression which, being differentiated, will produce a given differential. See differential Differential, and Integration. Cf. Fluent.

Integralnoun

the result of a mathematical integration; F(x) is the integral of f(x) if dF/dx = f(x)

Integraladjective

existing as an essential constituent or characteristic;

Integraladjective

constituting the undiminished entirety; lacking nothing essential especially not damaged;

Integraladjective

necessary to make a whole complete; essential or fundamental

Integraladjective

included as part of a whole rather than supplied separately

Integraladjective

having all the parts that are necessary to be complete

Integraladjective

of or denoted by an integer.

Integraladjective

involving only integers, especially as coefficients of a function.

Integralnoun

a function of which a given function is the derivative, i.e. which yields that function when differentiated, and which may express the area under the curve of a graph of the function.

Integralnoun

a function satisfying a given differential equation.

Integral

In mathematics, an integral assigns numbers to functions in a way that describes displacement, area, volume, and other concepts that arise by combining infinitesimal data. The process of finding integrals is called integration.