- of, relating to, or belonging as a part of the whole; constituent or component: integral parts.
- necessary to the completeness of the whole: This point is integral to his plan.
- consisting or composed of parts that together constitute a whole.
- entire; complete; whole: the integral works of a writer.
- Arithmetic. pertaining to or being an integer; not fractional.
- Mathematics. pertaining to or involving integrals.
- an integral whole.
- Also called Riemann integral.the numerical measure of the area bounded above by the graph of a given function, below by the x-axis, and on the sides by ordinates drawn at the endpoints of a specified interval; the limit, as the norm of partitions of the given interval approaches zero, of the sum of the products of the function evaluated at a point in each subinterval times the length of the subinterval.
- a primitive.
- any of several analogous quantities.Compare improper integral, line integral, multiple integral, surface integral.
Origin of integral
SynonymsSee more synonyms for on Thesaurus.com
Related Wordsindispensable, intrinsic, essential, elemental, indivisible, constituent, requisite, component, fundamental, perfect, aggregate, full, whole, entire, intact, unbroken, undivided, choate
Examples from the Web for integral
Sex and drugs and rock ‘n’ roll have always been an integral part of her story.Sex, Drugs, and Kate Moss: Secrets of a Wild Supermodel
October 9, 2014
Throwing up is an integral part of the ceremony, and shamans encourage it.Spirit Tripping With Colombian Shamans
August 24, 2014
This is because espionage has become an integral part of American statecraft.The CIA in Germany: A Secret History
July 10, 2014
At first this is integral to the fantasy; it's visually stimulating.Threesomes are Actually a Terrible Idea
June 21, 2014
Not so this time, as Fury had an integral reason for being there, and added muscle, brains and plenty of sharp lines.How ‘Marvel’s Agents of S.H.I.E.L.D.’ Finally Found Its Way
May 14, 2014
The State exists only as an integral portion of the United States.'Tis Sixty Years Since
Charles Francis Adams
The 'prison scenes' are an integral part in Boswell's psychology.James Boswell
William Keith Leask
There, if always with his ship (but that was an integral part of him) he could always be as solitary as he chose.Chance
Each Kedy element was the sole personnel of, and was integral with, his vessel.Masters of Space
Edward Elmer Smith
It is integral with the rest; its troubles are Basin troubles.The Nation's River
United States Department of the Interior
- (often foll by to) being an essential part (of); intrinsic (to)
- intact; entire
- formed of constituent parts; united
- of or involving an integral
- involving or being an integer
- maths the limit of an increasingly large number of increasingly smaller quantities, related to the function that is being integrated (the integrand). The independent variables may be confined within certain limits (definite integral) or in the absence of limits (indefinite integral)Symbol: ʃ
- a complete thing; whole
Word Origin and History for integral
late 15c., "of or pertaining to a whole," from Middle 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.
- Involving or expressed as an integer or integers.
- See definite integral indefinite integral.