Lexic.us

Definition of Integral

1. Noun. The result of a mathematical integration; F(x) is the integral of f(x) if dF/dx = f(x).

2. Adjective. Existing as an essential constituent or characteristic. "A constitutional inability to tell the truth"

3. Adjective. Constituting the undiminished entirety; lacking nothing essential especially not damaged. "Fought to keep the union intact"

4. Adjective. Of or denoted by an integer.

Definition of Integral

1. a. Lacking nothing of completeness; complete; perfect; uninjured; whole; entire.

2. n. A whole; an entire thing; a whole number; an individual.

Definition of Integral

1. Adjective. Constituting a whole together with other parts or factors; not omittable or removable ¹

2. Adjective. (mathematics) Of, pertaining to, or being an integer. ¹

3. Noun. (mathematics) A number, the limit of the sums computed in a process in which the domain of a function is divided into small subsets and a possibly nominal value of the function on each subset is multiplied by the measure of that subset, all these products then being summed. ¹

4. Noun. (mathematics) Antiderivative ¹

¹ Source: wiktionary.com

Definition of Integral

1. a total unit [n -S]

Medical Definition of Integral

1. 1. Lacking nothing of completeness; complete; perfect; uninjured; whole; entire. "A local motion keepeth bodies integral." (Bacon) 2. Essential to completeness; constituent, as a part; pertaining to, or serving to form, an integer; integrant. "Ceasing to do evil, and doing good, are the two great integral parts that complete this duty." (South) 3. Of, pertaining to, or being, a whole number or undivided quantity; not fractional. Pertaining to, or proceeding by, integration; as, the integral calculus. Integral calculus. See Calculus. Origin: Cf. F. Integral. See Integer. 1. A whole; an entire thing; a whole number; an individual. 2. An expression which, being differentiated, will produce a given differential. See differential Differential, and Integration. Cf. Fluent. Elliptic integral, one of an important class of integrals, occurring in the higher mathematics; so called because one of the integrals expresses the length of an arc of an ellipse. Source: Websters Dictionary (01 Mar 1998)

Lexicographical Neighbors of Integral

intarsia intarsias intarweb intastable intefadah intefadahs integer integer factorization integerness integers

integrabilities integrability integrable integrable function integrable functions integral (current term) integral calculus integral domain integral dose integral equation

integral equations integral function integral functions integral membrane protein integral membrane proteins integral proteins integralities integrality integrally integralness

Literary usage of Integral

Below you will find example usage of this term as found in modern and/or classical literature:

1. The Encyclopedia Americana: A Library of Universal Knowledge (1918)
"The integral (1) =r f<x, y, y^dx. where y'=dy/dx, can be evaluated whenever y is known as a function of x. For if y= f(x) be the known value of y in terms ..."

2. Proceedings of the Royal Society of London by Royal Society (Great Britain) (1902)
"A Memoir OH integral Functions." By EW I$AI:XES, MA, Fellow of Trinity College, Cambridge. Communicated by Professor A. 11. ..."

3. A Treatise on Electricity and Magnetism by James Clerk Maxwell (1904)
"We now proceed to prove a theorem which is useful as establishing a connection between the surface-integral taken over a finite surface and a line-integral ..."

4. Theory of Differential Equations by Andrew Russell Forsyth (1906)
"VARIOUS integralS determines not a single curve alone but a number of curve* on the singular integral : in that case, each of the curves is common to the ..."

5. Algebra: An Elementary Text-book, for the Higher Classes of Secondary by George Chrystal (1904)
"Hence R/P must be fractional, for, if it were integral, Q + R/P would be integral, that is, A/P would be integral, which is contrary to hypothesis. ..."

6. A Course in Mathematical Analysis by Édouard Goursat, Earle Raymond Hedrick (1917)
"The characteristic curves derived from a complete integral. ... We have seen, in fact, that if V = 0 is a complete integral of a given equation of the first ..."

7. The Encyclopaedia Britannica: A Dictionary of Arts, Sciences, and General by Thomas Spencer Baynes (1888)
"For, if we suppose n — 2r + l, the integral transforms into 119. Functions of this latter class are, however, usually more readily integrated by other ..."

8. An Introduction to the Theory of Infinite Series by Thomas John I'Anson Bromwich (1908)
"Jo Thus Borel's integral for the series is oo From Art. 177, it follows that the order of integration can be inverted in this integral, provided that the ..."

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