integral
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.
Mathematics.
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
1Other words for integral
Other words from integral
- in·te·gral·i·ty, noun
- in·te·gral·ly, adverb
- un·in·te·gral, adjective
- un·in·te·gral·ly, adverb
Dictionary.com Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2024
How to use integral in a sentence
We should even be puzzled to say which among all our integrals should retain the name of energy.
The difference of the two integrals will therefore be very small, and the probability will be very nearly 1/2.
It was natural to inquire whether a similar theorem holds for integrals ∫R(s, z)dz wherein s is a cubic polynomial in z.
It is needful therefore to know the essentials of ordination, from the integrals and accidentals.
A Christian Directory | Baxter RichardTo collect certain of the most needful integrals, which teachers shall not preach against.
A Christian Directory | Baxter Richard
British Dictionary definitions for integral
(often foll by to) being an essential part (of); intrinsic (to)
intact; entire
formed of constituent parts; united
maths
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
Derived forms of integral
- integrality (ˌɪntɪˈɡrælɪtɪ), noun
- integrally, adverb
Collins English Dictionary - Complete & Unabridged 2012 Digital Edition © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012
Scientific definitions for integral
[ ĭn′tĭ-grəl ]
Involving or expressed as an integer or integers.
The American Heritage® Science Dictionary Copyright © 2011. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.
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