What does integral mean?

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

Here are all the 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 for integral »

  1. altering

  2. alerting

  3. triangle, Triangle

  4. relating

  5. Triangle

How to pronounce integral?

  1. Alex
    Alex
    US English
    Daniel
    Daniel
    British
    Karen
    Karen
    Australian
    Veena
    Veena
    Indian

How to say integral in sign language?

  1. integral

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. Wayne Smith:

    It's a very real, integral part of my life.

  2. Adil Mehboob-Khan:

    M&A will continue to be an integral part of the growth model going forward.

  3. Englishman Faldo:

    I think walking is an integral part of being a pro golfer, i'll leave it at that.

  4. Sandeep Khandelwal:

    The jharokha windows are an integral part of Indian architecture, you can't omit them.

  5. Khoo Teng Chye:

    Planning for clean air, clean water and green cover was integral to Singapore's city planning.

Images & Illustrations of integral

  1. integralintegralintegralintegralintegral

Popularity rank by frequency of use

integral#1#6779#10000

Translations for integral

From our Multilingual Translation Dictionary

Get even more translations for integral »

Translation

Find a translation for the integral definition in other languages:

Select another language:

  • - Select -
  • Chinese - Simplified 简体中文 (Chinese - Simplified)
  • Chinese - Traditional 繁體中文 (Chinese - Traditional)
  • Spanish Español (Spanish)
  • Japanese 日本語 (Japanese)
  • Portuguese Português (Portuguese)
  • German Deutsch (German)
  • Arabic العربية (Arabic)
  • French Français (French)
  • Russian Русский (Russian)
  • Kannada ಕನ್ನಡ (Kannada)
  • Korean 한국어 (Korean)
  • Hebrew עברית (Hebrew)
  • Ukrainian Український (Ukrainian)
  • Urdu اردو (Urdu)
  • Hungarian Magyar (Hungarian)
  • Hindi मानक हिन्दी (Hindi)
  • Indonesian Indonesia (Indonesian)
  • Italian Italiano (Italian)
  • Tamil தமிழ் (Tamil)
  • Turkish Türkçe (Turkish)
  • Telugu తెలుగు (Telugu)
  • Thai ภาษาไทย (Thai)
  • Vietnamese Tiếng Việt (Vietnamese)
  • Czech Čeština (Czech)
  • Polish Polski (Polish)
  • Indonesian Bahasa Indonesia (Indonesian)
  • Romanian Românește (Romanian)
  • Dutch Nederlands (Dutch)
  • Greek Ελληνικά (Greek)
  • Latin Latinum (Latin)
  • Swedish Svenska (Swedish)
  • Danish Dansk (Danish)
  • Finnish Suomi (Finnish)
  • Persian فارسی (Persian)
  • Yiddish ייִדיש (Yiddish)
  • Armenian հայերեն (Armenian)
  • Norwegian Norsk (Norwegian)
  • English English (English)

Discuss these integral definitions with the community:

Word of the Day

Would you like us to send you a FREE new word definition delivered to your inbox daily?

Please enter your email address:


Citation

Use the citation below to add this definition to your bibliography:

Style:MLAChicagoAPA

"integral." Definitions.net. STANDS4 LLC, 2019. Web. 25 Jun 2019. <https://www.definitions.net/definition/integral>.

Are we missing a good definition for integral? Don't keep it to yourself...

Free, no signup required:

Add to Chrome

Get instant definitions for any word that hits you anywhere on the web!

Free, no signup required:

Add to Firefox

Get instant definitions for any word that hits you anywhere on the web!

Nearby & related entries:

Alternative searches for integral:

Thanks for your vote! We truly appreciate your support.