Definitions for Integralˈɪn tɪ grəl, ɪnˈtɛg rəl

This page provides all possible meanings and translations of the word Integral

Princeton's WordNet

  1. integral(adj)

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

  2. built-in, constitutional, inbuilt, inherent, integral(adj)

    existing as an essential constituent or characteristic

    "the Ptolemaic system with its built-in concept of periodicity"; "a constitutional inability to tell the truth"

  3. integral, entire, intact(adj)

    constituting the undiminished entirety; lacking nothing essential especially not damaged

    "a local motion keepeth bodies integral"- Bacon; "was able to keep the collection entire during his lifetime"; "fought to keep the union intact"

  4. integral(adj)

    of or denoted by an integer

Wiktionary

  1. integral(Noun)

    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.

    The integral of uE000120330uE001 on uE000120331uE001 is uE000120332uE001.

  2. integral(Noun)

    Antiderivative

    The integral of uE000120333uE001 is uE000120334uE001.

  3. integral(Adjective)

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

  4. integral(Adjective)

    Of, pertaining to, or being an integer.

  5. Origin: From integralis, from integer; see integer.

Webster Dictionary

  1. Integral(adj)

    lacking nothing of completeness; complete; perfect; uninjured; whole; entire

  2. Integral(adj)

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

  3. Integral(adj)

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

  4. Integral(adj)

    pertaining to, or proceeding by, integration; as, the integral calculus

  5. Integral(noun)

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

  6. Integral(noun)

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

  7. Origin: [Cf. F. intgral. See Integer.]

Freebase

  1. Integral

    Integration is an important concept in mathematics and, together with its inverse, differentiation, is one of the two main operations in calculus. Given a function f of a real variable x and an interval [a, b] of the real line, the definite integral is defined informally to be the signed area of the region in the xy-plane bounded by the graph of f, the x-axis, and the vertical lines x = a and x = b, such that area above the x-axis adds to the total, and that below the x-axis subtracts from the total. The term integral may also refer to the notion of the antiderivative, a function F whose derivative is the given function f. In this case, it is called an indefinite integral and is written: The integrals discussed in this article are termed definite integrals. The principles of integration were formulated independently by Isaac Newton and Gottfried Leibniz in the late 17th century. Through the fundamental theorem of calculus, which they independently developed, integration is connected with differentiation: if f is a continuous real-valued function defined on a closed interval [a, b], then, once an antiderivative F of f is known, the definite integral of f over that interval is given by

British National Corpus

  1. Adjectives Frequency

    Rank popularity for the word 'Integral' in Adjectives Frequency: #905

Anagrams of Integral »

  1. altering

  2. alerting

  3. triangle, Triangle

  4. relating

  5. Triangle


Translations for Integral

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