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integral

/ˈɪntəɡɹəl/adjective, noun

integral is spelled I-N-T-E-G-R-A-L: 8 letters and 3 syllables. It appears 9.1 times per million words in written English, the 7,553rd most frequent word form (wordfreq, 2021 data). As an adjective, integral means “Constituting a whole together with other parts or factors; not omittable or removable” (English Wiktionary, September 2026).

How many letters and syllables are in integral?

Letters8: I-N-T-E-G-R-A-L
Syllables3 (from its American pronunciation)
In writing9.1 times per million words; the 7,553rd most frequent word form
Wrong spellings searchednone measured in search
Same letters

Sources: letters and syllables from the English Wiktionary's hyphenation or pronunciation and the CMU Pronouncing Dictionary; written frequency: wordfreq 3.1 (a 2021 snapshot of Wikipedia, subtitles, news, books, web text and social media); rhymes and same-letter words are computed by PlainSpell from its own word list.

How common is integral?

Integral appears 9.1 times per million words in written English, the 7,553rd most frequent word form in the list.

Source: written frequency: wordfreq 3.1 (a 2021 snapshot of Wikipedia, subtitles, news, books, web text and social media).

How do you pronounce integral?

  • UK /ˈɪntɪɡr(ə)l/
  • UK /ɪnˈtɛɡr(ə)l/
  • US /ˈɪntəɡɹəl/

Integral has 3 syllables (counted from its American pronunciation in the CMU Pronouncing Dictionary).

Source: English Wiktionary, dump of September 2, 2026 (CC BY-SA 4.0), through kaikki.org (Wiktextract). Recordings: En-uk-integral-adjective.ogg, LL-Q1860_(eng)-StalJosA-Integral.wav, En-uk-integral-noun.ogg, Wikimedia Commons (author and licence on each file's page).

What rhymes with integral?

No other word on PlainSpell ends in the same sounds as integral (/ɪntəɡɹəl/).

Spelled with the same letters in another order: relating, triangle, altering.

Computed by PlainSpell from the pronunciations in the English Wiktionary (dump of September 2, 2026): a rhyme shares every sound from the last stressed vowel to the end; ordered by written frequency (wordfreq 3.1).

Forms of integral

  • more integral comparative
  • most integral superlative
  • integrals plural

Source: English Wiktionary, dump of September 2, 2026 (CC BY-SA 4.0), through kaikki.org (Wiktextract).

What does integral mean?

The meanings the English Wiktionary records, quoted as written there (source below).

adjective

  1. 1

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

  2. 2

    Of, pertaining to, or being an integer.

  3. 3

    Relating to integration (“the process of finding the integral [noun] of a function”).

  4. 4

    Being the root of some monic polynomial in A.

  5. 5

    obsoleteWhole; undamaged.

noun

  1. 1

    One of the two fundamental operations of calculus (the other being differentiation), whereby a function's displacement, area, volume, or other qualities arising from the study of infinitesimal change are quantified, usually defined as a limiting process on a sequence of partial sums. Denoted using a long s: ∫, or a variant thereof.

    The integral of a univariate real-valued function is the area under its curve; but be warned! Not all functions are integrable!

  2. 2

    Any of several analytic formalizations of this operation: the Riemann integral, the Lebesgue integral, etc.

  3. 3

    A definite integral: the result of the application of such an operation onto a function and a suitable subset of the function's domain: either a number or positive or negative infinity. In the former case, the integral is said to be finite or to converge; in the latter, the integral is said to diverge. In notation, the domain of integration is indicated either below the sign, or, if it is an inter

    The integral of #92;frac#123;1#125;#123;x#125; on #91;#92;frac#123;1#125;#123;2#125;,1#93; is #92;ln(2), but the integral of the same function on (0,1#93; diverges. In notation, #92;int#95;#92;frac#123;1#125;#123;2#125;¹#92;frac#123;1#125;#

  4. 4

    An indefinite integral: the result of the application of such an operation onto a function together with an indefinite domain, yielding a function; a function's antiderivative;

    The integral of x² is #92;frac#123;x³#125;#123;3#125; plus a constant.

  5. 5

    obsoleteThe fluent of a given fluxion in Newtonian calculus.

Source: English Wiktionary, dump of September 2, 2026 (CC BY-SA 4.0), through kaikki.org (Wiktextract).

Integral in Spanish, French, German and Portuguese

LanguageWords
Germanintegral, ein Ganzes ausmachend, zur Erhaltung des Ganzen unentbehrlich (constituting a whole together with other parts…), ganzzahlig (math: of, pertaining to, or being an integer), Integral (limit of sums)
Portugueseintegral (constituting a whole together with other parts…), inteiro (math: of, pertaining to, or being an integer)
Spanishintegral (constituting a whole together with other parts…), entero (math: of, pertaining to, or being an integer)
Frenchentier (math: of, pertaining to, or being an integer), intégrale (limit of sums), intégral (math: relating to integration)

Source: English Wiktionary, dump of September 2, 2026 (CC BY-SA 4.0), through kaikki.org (Wiktextract). Translations are Wiktionary's, by sense; a linked word has its own PlainSpell page.

Where does integral come from?

Borrowed from Middle French integral, from Medieval Latin integrālis, from Latin integer (“entire”); see integer.

Source: English Wiktionary, dump of September 2, 2026 (CC BY-SA 4.0), through kaikki.org (Wiktextract).

What to look up after integral