Definitions for Integral
ˈɪn tɪ grəl, ɪnˈtɛg rəlInte·gral

Princeton's WordNet(4.00 / 2 votes)Rate this definition:

1. integraladjective

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

2. built-in, constitutional, inbuilt, inherent, integraladjective

   existing as an essential constituent or characteristic

   "the Ptolemaic system with its built-in concept of periodicity"; "a constitutional inability to tell the truth"

3. integral, entire, intactadjective

   constituting the undiminished entirety; lacking nothing essential especially not damaged

   "a local motion keepeth bodies integral"- Bacon; "was able to keep the collection entire during his lifetime"; "fought to keep the union intact"

4. integraladjective

   of or denoted by an integer

Wiktionary(3.50 / 4 votes)Rate this definition:

1. integralnoun

   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.

   The integral of uE000120330uE001 on uE000120331uE001 is uE000120332uE001.

2. integralnoun

   Antiderivative

   The integral of uE000120333uE001 is uE000120334uE001.

3. integraladjective

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

4. integraladjective

   Of, pertaining to, or being an integer.

5. Etymology: From integralis, from integer; see integer.

Webster Dictionary(5.00 / 1 vote)Rate this definition:

1. Integraladjective

   lacking nothing of completeness; complete; perfect; uninjured; whole; entire

2. Integraladjective

   essential to completeness; constituent, as a part; pertaining to, or serving to form, an integer; integrant

3. Integraladjective

   of, pertaining to, or being, a whole number or undivided quantity; not fractional

4. Integraladjective

   pertaining to, or proceeding by, integration; as, the integral calculus

5. Integralnoun

   a whole; an entire thing; a whole number; an individual

6. Integralnoun

   an expression which, being differentiated, will produce a given differential. See differential Differential, and Integration. Cf. Fluent

7. Etymology: [Cf. F. intgral. See Integer.]

Freebase(0.00 / 0 votes)Rate this definition:

1. Integral

   Integration is an important concept in mathematics and, together with its inverse, differentiation, is one of the two main operations in calculus. Given a function f of a real variable x and an interval [a, b] of the real line, the definite integral is defined informally to be the signed area of the region in the xy-plane bounded by the graph of f, the x-axis, and the vertical lines x = a and x = b, such that area above the x-axis adds to the total, and that below the x-axis subtracts from the total. The term integral may also refer to the notion of the antiderivative, a function F whose derivative is the given function f. In this case, it is called an indefinite integral and is written: The integrals discussed in this article are termed definite integrals. The principles of integration were formulated independently by Isaac Newton and Gottfried Leibniz in the late 17th century. Through the fundamental theorem of calculus, which they independently developed, integration is connected with differentiation: if f is a continuous real-valued function defined on a closed interval [a, b], then, once an antiderivative F of f is known, the definite integral of f over that interval is given by

British National Corpus

1. Adjectives Frequency

   Rank popularity for the word 'Integral' in Adjectives Frequency: #905

Anagrams for Integral »

1. altering

2. alerting

3. triangle, Triangle

4. relating

5. Triangle

How to pronounce Integral?

1. Alex

   US English

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   Mark

   US English

   Daniel

   British

   Libby

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   Mia

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   Karen

   Australian

   Hayley

   Australian

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   Priya

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   Neerja

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How to say Integral in sign language?

Numerology

1. Chaldean Numerology

   The numerical value of Integral in Chaldean Numerology is: 6

2. Pythagorean Numerology

   The numerical value of Integral in Pythagorean Numerology is: 5

Examples of Integral in a Sentence

1. Larry Diamond:

   The reality is that if Iraq implodes, she'll probably go nowhere, because she will have been associated in an integral way with one of the biggest failures in the history of American foreign policy.

2. RAMANA PEMMARAJU:

   Our obsession for success, recognition and supremacy in all circumstances without ever aware of the gravity of the situation and the subtle intricacies that impact the fabric of the society as a whole has made us more inhuman than humanly possible, as a result we have become more artificial, with not even an iota of LIFE throbbing within Us. Humanity as a whole has come to this juncture, wherein if we don't dare to accept and act on our vulnerabilities, our shortcomings in totality and to embrace failures in same breath as success as an integral part of life, then I fear we are creating a world of zombies!

3. Chance The Rapper:

   I’m extremely excited to be continuing the work of the Chicagoist, an integral local platform for Chicago news, events and entertainment, wNYC’s commitment to finding homes for the -ist brands, including Chicagoist, was an essential part of continuing the legacy and integrity of the site. I look forward to re-launching it and bringing the people of Chicago an independent media outlet focused on amplifying diverse voices and content.

4. Adam Friedman:

   This is not analogous to saying that this integral part of cancer surveillance is ineffective or harmful.

5. Lisa Lambert:

   We're not doing this purely because they represent diverse teams, they're integral to Intel's core investments.

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