Definitions for Integralˈɪn tɪ grəl, ɪnˈtɛg rəlInte·gral

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

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"

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"

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.

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

Of, pertaining to, or being an integer.

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

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

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

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

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

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

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

Anagrams for Integral »

1. altering

3. triangle, Triangle

4. relating

5. Triangle

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

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

Popularity rank by frequency of use

Integral#1#6779#10000

Translations for Integral

From our Multilingual Translation Dictionary

• متكامل
• integrál, nedílný, celočíselný
• ganzzahlig, integral
• ολόκληρος, ακέραιος, αναπόσπαστος
• integralo
• integral
• انتگرال
• kokonaisluku, olennainen, integraali
• intégrale, intégral
• co-hym
• integrál
• integral
• tegrun, heildun
• integrale
• ინტეგრალი
• ដែលទាំងស្រុង
• ಅವಿಭಾಜ್ಯ
• 완전한
• integralis
• geheel, integraal
• integral
• całka
• integral
• integrală, integral
• интеграл, неотъемлемый, неделимый, неотделимый, целочисленный
• integral
• enhetlig, hel, integral, heltal
• ஒருங்கிணைந்த
• integral
• 积分

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