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integral (adj.)

late 15c., "of or pertaining to a whole; intrinsic, belonging as a part to a whole," from Old French intégral (14c.), from Medieval Latin integralis "forming a whole," from Latin integer "whole" (see integer). Related: Integrally. As a noun, 1610s, from the adjective.

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Definitions of integral from WordNet
1
integral (adj.)
existing as an essential constituent or characteristic;
Synonyms: built-in / constitutional / inbuilt / inherent
integral (adj.)
constituting the undiminished entirety; lacking nothing essential especially not damaged; "a local motion keepeth bodies integral"- Bacon;
Synonyms: entire / intact
integral (adj.)
of or denoted by an integer;
2
integral (n.)
the result of a mathematical integration; F(x) is the integral of f(x) if dF/dx = f(x);
From wordnet.princeton.edu