English Reference
adjective · noun

integral

adj. · n.
US /ˈɪnəɡɹəɫ/ in·te·gral UK spelling integral's, integral's

  1. 01 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.

    Simple

    Regular exercise is an integral part of a healthy lifestyle.

    In context

    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'.

  2. 02 C1 Advanced TechnicalAcademic Math

    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.

    Simple

    The students had to calculate the definite integral for their homework.

    In context

    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.

    antiderivative

Usage integral part · robust integral

Happily, Hughes is expected back by early autumn at the latest and appears integral to the team’s survival hopes.

The Guardian· 16 Aug 2026

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.

Phys.org· 15 Aug 2026

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.

This entry
Origin Latin integer
Level C1 · Advanced
Frequency Frequent
Updated