What does integral mean?

Definitions for integral
ˈɪn tɪ grəl, ɪnˈtɛg rəlin·te·gral

This dictionary definitions page includes all the possible meanings, example usage and translations of the word integral.

Princeton's WordNet

  1. integraladjective

    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, integraladjective

    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, intactadjective

    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. integraladjective

    of or denoted by an integer

Wiktionary

  1. integralnoun

    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. integralnoun

    Antiderivative

    The integral of uE000120333uE001 is uE000120334uE001.

  3. integraladjective

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

  4. integraladjective

    Of, pertaining to, or being an integer.

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

Samuel Johnson's Dictionary

  1. Integraladjective

    Etymology: integral, French; integer, Latin.

    A local motion keepeth bodies integral, and their parts together. Francis Bacon, Natural History.

    No wonder if one remain speechless, though of integral principles, who, from an infant, should be bred up amongst mutes, and have no teaching. William Holder.

  2. Integralnoun

    The whole made up of parts.

    Physicians, by the help of anatomical dissections, have searched into those various meanders of the veins, arteries, nerves, and integrals of the human body. Matthew Hale.

    Consider, the infinite complications and combinations of several concurrences to the constitution and operation of almost every integral in nature. Matthew Hale.

    A mathematical whole is better called integral, when the several parts, which make up the whole, are distinct, and each may subsist apart. Isaac Watts.

Wikipedia

  1. INTEGRAL

    The INTErnational Gamma-Ray Astrophysics Laboratory (INTEGRAL) is a space telescope for observing gamma rays of energies up to 8 MeV. It was launched by the European Space Agency (ESA) into Earth orbit in 2002, and is designed to provide imaging and spectroscopy of cosmic sources. In the MeV energy range, it is the most sensitive gamma ray observatory in space. It is sensitive to higher energy photons than X-ray instruments such as NuSTAR, the Neil Gehrels SWIFT Observatory, XMM-Newton, and lower than other gamma-ray instruments such Fermi and HESS. Photons in INTEGRAL's energy range are emitted by relativistic and supra-thermal particles in violent sources, radioactivity from unstable isotopes produced during nucleosynthesis, X-ray binaries, and astronomical transients of all types, including gamma-ray bursts. The spacecraft's instruments have very wide fields of view, which is particularly useful for detecting gamma-ray emission from transient sources as they can continuously monitor large parts of the sky. INTEGRAL is an ESA mission with additional contributions from European member states including Italy, France, Germany, and Spain. Cooperation partners are the Russian Space Agency with IKI (military CP Comand Punkt KW) and NASA. As of October 2022, INTEGRAL continues to operate despite the loss of its thrusters through the use of its reaction wheels and solar radiation pressure.

ChatGPT

  1. integral

    In calculus, an integral refers to a mathematical concept that can be used to calculate areas, volumes, central points, and many other concepts. It is one of the two distinct branches of calculus and the reverse process of differentiation. Integrals can be definite or indefinite and can be used to describe displacement, area, volume, among other things. Technically, the integral of a function f over the interval [a, b] is defined as the limit of a sum of products as the number of products approaches infinity and their width approaches zero, provided this limit exists.

Webster Dictionary

  1. Integraladjective

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

  2. Integraladjective

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

  3. Integraladjective

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

  4. Integraladjective

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

  5. Integralnoun

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

  6. Integralnoun

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

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

Wikidata

  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 for integral »

  1. relating

  2. triangle

  3. Triangle

  4. alerting

  5. altering

  6. teraglin

How to pronounce integral?

How to say integral in sign language?

Numerology

  1. Chaldean Numerology

    The numerical value of integral in Chaldean Numerology is: 6

  2. Pythagorean Numerology

    The numerical value of integral in Pythagorean Numerology is: 5

Examples of integral in a Sentence

  1. Bob Blackman:

    Jammu and Kashmir is an integral part of India, and the illegal occupation by Pakistan on parts of sovereign India should end.

  2. Jack Ma:

    Women have always played an integral role in Alibaba since its establishment two decades ago.

  3. President Gwynne Shotwell:

    It's not like adding a component to your stereo system, that engine is integral to overall design and architecture of your rocket.

  4. Lisa Lambert:

    We're not doing this purely because they represent diverse teams, they're integral to Intel's core investments.

  5. Verizon Media:

    We do not comment on rumors and speculation, yahoo Finance is integral to Verizon Media's growth strategy. We continue to invest in the expansion of live programming, audio programming and the recently launched Yahoo Finance Premium product.

Popularity rank by frequency of use

integral#1#6779#10000

Translations for integral

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"integral." Definitions.net. STANDS4 LLC, 2024. Web. 24 Apr. 2024. <https://www.definitions.net/definition/integral>.

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