Word
integral
Phoneticsin·te·gral, stress on the first syllable
/ˈɪnəɡɹəɫ/
Definitions
01essential
B2 · Upper Intermediate Academic
adj. necessary and important as a part of a whole system or object.
adj. essential to completeness; constituent or forming a necessary part of a whole.
“Regular exercise is an integral part of a healthy lifestyle.”
“The research team argued that community engagement was integral to the project's long-term success rather than a secondary consideration.”
Usage
Often followed by the preposition 'to'.
Synonyms
Antonyms
02calculus operation
C1 · Advanced Countable noun Mathematics Technical · Academic
n. a mathematical calculation used to find things like the area under a curved line.
n. the result of a mathematical integration; a function representing the area under the graph of another function.
“The students had to calculate the definite integral for their homework.”
“The physicist used a double integral to determine the total mass of the object based on its varying density.”
Usage
Commonly distinguished as 'definite' or 'indefinite' integrals.
Synonyms
Antonyms
Collocations
Common phrases and expressions where native English speakers use the word “integral” in context.
Adjective
01. robust integral
“The researcher applied a robust integral to ensure the mathematical model remained stable despite the noisy data.”
adj + noun
Real-World Examples
“Happily, Hughes is expected back by early autumn at the latest and appears integral to the team’s survival hopes.” “Programs were heavily weighted toward the teaching and learning domain, neglecting integral aspects of student life, business and operations, workplace culture and policies, and equity in research.” Etymology
Borrowed from Middle French integral, from Medieval Latin integrālis, from Latin integer (“entire”); see integer.
Etymology adapted from Wiktionary, available under CC BY-SA 4.0.
Word family
NOUN
ADJECTIVE
Domain
- Exam level
- CambridgeCambridgeCambridge English QualificationsThe exam suite from Cambridge University Press & Assessment, from A1 Movers up to C2 Proficiency. The benchmark names double as CEFR labels.C1 AdvancedIELTSIELTSInternational English Language Testing SystemThe 0–9 band test co-owned by the British Council, IDP, and Cambridge. Used for university entry, work, and migration.7.0–8.0TOEFL iBTTOEFL iBTTest of English as a Foreign Language, Internet-Based TestETS's academic English test, the standard route for US university admissions. Scored 0–120, with a 1–6 scale since 2026.1–6 scale: 5.0–5.595–113TOEICTOEICTest of English for International CommunicationETS's workplace English test, big in Japan and Korea. Listening & Reading scores 10–990 and tops out at C1.945–990
- Frequency
- Frequent
- Level
- C1 · AdvancedOxford
- Updated
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englishreference.com/q/integral