adj · name · noun · 15 senses · updated from the 2026-07-25 local source snapshot
Definitions and examples are grouped by meaning. Pronunciation, history, word forms, translations, descendants, synonyms, antonyms, derived terms, and related words appear whenever the source provides them.
Sound
Pronunciation
Each Play button uses your device's default local English voice, or a natural local fallback. The selected voice name appears after playback. This is synthesized speech, not a source recording.
UK:/ˈɪntɪɡr(ə)l/
UK:/ɪnˈtɛɡr(ə)l/
US:ʹĭn-tə-grəl
US:ĭn-tĕgʹrəl
US:/ˈɪntəɡɹəl/
US:/ɪnˈtɛɡɹəl/
UK:Recorded audio is listed in the source snapshot.
UK:ĭnʹtĭ-grəl
UK:/ˈɪntɪɡɹ(ə)l/
US:ĭnʹtə-grəl
UK:Recorded audio is listed in the source snapshot.
CMU ARPABET:IH1 N T AH0 G R AH0 L
Digits mark lexical stress: 1 primary, 2 secondary, 0 unstressed.
CMU ARPABET 2:IH1 N AH0 G R AH0 L
Digits mark lexical stress: 1 primary, 2 secondary, 0 unstressed.
1
adj
Meaning 1
Constituting a whole together with other parts or factors; not omittable or removable.
Definition source: English Wiktionary via Wiktextract
No example sentence was provided for this meaning.
Definition source: English Wiktionary via Wiktextract
Topics: mathematics, sciences
No example sentence was provided for this meaning.
Meaning relationships
Synonyms: none provided
Antonyms: none provided
3
adj
Meaning 3
Relating to integration (“the process of finding the integral [noun] of a function”).
Definition source: English Wiktionary via Wiktextract
Topics: mathematics, sciences
No example sentence was provided for this meaning.
Meaning relationships
Synonyms: none provided
Antonyms: none provided
4
adj
Meaning 4
Being the root of some monic polynomial in A.
Definition source: English Wiktionary via Wiktextract
Qualifier: commutative algebra
Topics: algebra, mathematics, sciences
No example sentence was provided for this meaning.
Meaning relationships
Synonyms: none provided
Antonyms: none provided
5
adj
Meaning 5
Whole; undamaged.
Definition source: English Wiktionary via Wiktextract
Usage: obsolete
No example sentence was provided for this meaning.
Meaning relationships
Synonyms: none provided
Antonyms: none provided
6
name
Meaning 6
Abbreviation of International Gamma-Ray Astrophysics Laboratory (a satellite of the European Space Agency).
Definition source: English Wiktionary via Wiktextract
Usage: abbreviation, alt-of
Topics: ESA, aerospace, business, engineering, natural-sciences, physical-sciences, space-science
No example sentence was provided for this meaning.
Meaning relationships
Synonyms: none provided
Antonyms: none provided
7
noun
Meaning 7
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.
Definition source: English Wiktionary via Wiktextract
Topics: mathematics, sciences
Examples
The integral of a univariate real-valued function is the area under its curve; but be warned! Not all functions are integrable!
Meaning relationships
Synonyms: none provided
Antonyms: none provided
8
noun
Meaning 8
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.
Any of several analytic formalizations of this operation: the Riemann integral, the Lebesgue integral, etc.
Definition source: English Wiktionary via Wiktextract
Usage: specifically
Topics: mathematics, sciences
No example sentence was provided for this meaning.
Meaning relationships
Synonyms: none provided
Antonyms: none provided
9
noun
Meaning 9
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 interval, with its endpoints as sub- and super-scripts, and the function being integrated forming part of the integrand (or, generally, differential form) appearing in front of the integral sign.
Definition source: English Wiktionary via Wiktextract
Topics: mathematics, sciences
Examples
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;#123;x#125;dx#61;#92;ln(2), but #92;int#95;01#92;frac#123;1#125;#123;x#125;dx#61;#92;infty.
Stokes' theorem relates the integral over a surface of the curl of a vector field to a line integral around the boundary of that surface: #92;int#95;S#92;nabla#92;times#92;mathbf#123;F#125;#92;cdotd#92;mathbf#123;S#125;#61;#92;int#95;#123;#92;partialS#125;#92;mathbf#123;F#125;#92;cdotd#92;mathbf#123;r#125;,.
Meaning relationships
Synonyms: none provided
Antonyms: none provided
10
noun
Meaning 10
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;
Definition source: English Wiktionary via Wiktextract
Topics: mathematics, sciences
Examples
The integral of x2 is #92;frac#123;x3#125;#123;3#125; plus a constant.
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 fluent of a given fluxion in Newtonian calculus.
Definition source: English Wiktionary via Wiktextract
Usage: historical, obsolete
Topics: mathematics, sciences
No example sentence was provided for this meaning.
