Definitions for integral
ˈɪn tɪ grəl, ɪnˈtɛg rəlin·te·gral

Princeton's WordNetRate this definition:4.0 / 2 votes

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

WiktionaryRate this definition:3.5 / 4 votes

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.

Samuel Johnson's DictionaryRate this definition:0.0 / 0 votes

1. Integraladjective

   Etymology: integral, French; integer, Latin.

   1. Whole: applied to a thing considered as comprising all its constituent parts.

   A local motion keepeth bodies integral, and their parts together. Francis Bacon, Natural History.

   2. Uninjured; complete; not defective.

   No wonder if one remain speechless, though of integral principles, who, from an infant, should be bred up amongst mutes, and have no teaching. William Holder.

   3. Not fractional; not broken into fractions.

2. Integralnoun

   The whole made up of parts.

   Physicians, by the help of anatomical dissections, have searched into those various meanders of the veins, arteries, nerves, and integrals of the human body. Matthew Hale.

   Consider, the infinite complications and combinations of several concurrences to the constitution and operation of almost every integral in nature. Matthew Hale.

   A mathematical whole is better called integral, when the several parts, which make up the whole, are distinct, and each may subsist apart. Isaac Watts.

WikipediaRate this definition:0.0 / 0 votes

1. INTEGRAL

   The INTErnational Gamma-Ray Astrophysics Laboratory (INTEGRAL) is a space telescope for observing gamma rays of energies up to 8 MeV. It was launched by the European Space Agency (ESA) into Earth orbit in 2002, and is designed to provide imaging and spectroscopy of cosmic sources. In the MeV energy range, it is the most sensitive gamma ray observatory in space. It is sensitive to higher energy photons than X-ray instruments such as NuSTAR, the Neil Gehrels SWIFT Observatory, XMM-Newton, and lower than other gamma-ray instruments such Fermi and HESS. Photons in INTEGRAL's energy range are emitted by relativistic and supra-thermal particles in violent sources, radioactivity from unstable isotopes produced during nucleosynthesis, X-ray binaries, and astronomical transients of all types, including gamma-ray bursts. The spacecraft's instruments have very wide fields of view, which is particularly useful for detecting gamma-ray emission from transient sources as they can continuously monitor large parts of the sky. INTEGRAL is an ESA mission with additional contributions from European member states including Italy, France, Germany, and Spain. Cooperation partners are the Russian Space Agency with IKI (military CP Comand Punkt KW) and NASA. As of October 2022, INTEGRAL continues to operate despite the loss of its thrusters through the use of its reaction wheels and solar radiation pressure.

ChatGPTRate this definition:0.0 / 0 votes

1. integral

   In calculus, an integral refers to a mathematical concept that can be used to calculate areas, volumes, central points, and many other concepts. It is one of the two distinct branches of calculus and the reverse process of differentiation. Integrals can be definite or indefinite and can be used to describe displacement, area, volume, among other things. Technically, the integral of a function f over the interval [a, b] is defined as the limit of a sum of products as the number of products approaches infinity and their width approaches zero, provided this limit exists.

Webster DictionaryRate this definition:5.0 / 1 vote

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.]

WikidataRate this definition:0.0 / 0 votes

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. relating

2. triangle

3. Triangle

4. alerting

5. altering

6. teraglin

How to pronounce integral?

1. Alex

   US English

   David

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   Mark

   US English

   Daniel

   British

   Libby

   British

   Mia

   British

   Karen

   Australian

   Hayley

   Australian

   Natasha

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   Indian

   Priya

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   Neerja

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   Zira

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   Oliver

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   Wendy

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   Fred

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   Tessa

   South African

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. Charlie Stillitano:

   What would Manchester United argue ? Did we create soccer or did Leicester ? , let's call it the money pot created by soccer and the fandom around the world. Who has had more of an integral role, Manchester United or Leicester ? ( Leicester is) a wonderful, wonderful story but you could see it from Manchester United's point of view too.

2. Jeff Navin:

   Some of the biggest national security questions facing the country run through Piketon and Kemmerer, a Post-Soviet dealAmerican reliance on foreign enriched uranium echoes its competitive disadvantages on microchips and the critical minerals used to make electric batteries — two essential components of the global energy transition.But in the case of uranium enrichment, United States once had an advantage and chose to give it up.In the 1950s, as the nuclear era began in earnest, Piketon became the site of one of two enormous enrichment facilities in the Ohio River Valley region, where a process called gaseous diffusion was used.Meanwhile, the Soviet Union developed centrifuges in a secret program, relying on a team of German physicists and engineers captured toward the end of World War II. Its centrifuges proved to be 20 times as energy efficient as gaseous diffusion. By the end of the Cold War, United States and Russia had roughly equal enrichment capacities, but huge differences in the cost of production.In 1993, Washington and Moscow signed an agreement, dubbed Megatons to Megawatts, in which United States purchased and imported much of Russia’s enormous glut of weapons-grade uranium, which United States then downgraded to use in power plants. This provided the U.S. with cheap fuel and Moscow with cash, and was seen as a de-escalatory gesture.But it also destroyed the profitability of America’s inefficient enrichment facilities, which were eventually shuttered. Then, instead of investing in upgraded centrifuges in United States, successive administrations kept buying from Russia.ImageA mural celebrates Piketon’s gaseous diffusion plant, long ago shuttered, and United States role in the local economy.Credit... Brian Kaiser for The New York TimesImageIn the lobby at Piketon plant, a miniature display of new centrifuges.Credit... Brian Kaiser for The New York TimesThe centrifuge plant in Piketon, operated by Centrus Energy, occupies a corner of the site of the old gaseous diffusion facility. Building United States to United States full potential would create thousands of jobs, according to Centrus Energy. And it could produce the kinds of enriched uranium needed in both current and new-age nuclear plants.Lacking Piketon’s output, plants like TerraPower’s would have to look to foreign producers, like France, that might be a more politically acceptable and reliable supplier than Russia, but would also be more expensive.TerraPower sees itself as integral to phasing out climate-warming fossil fuels in electricity. Its reactor would include a sodium-based battery that would allow the plant to ramp up electricity production on demand, offsetting fluctuations in wind or solar production elsewhere.It is part of the energy transition that coal-country senators like Mr. Manchin and John Barrasso, a Wyoming Republican, are keen to fix as they eye nuclear replacements for lost coal jobs and revenue. While Mr. Manchin in particular has complicated the Biden administration’s efforts to quicken the transition away from fossil fuels, he also pushed back against colleagues, mostly Democrats, who are skeptical of nuclear power’s role in that transition, partly because of the radioactive waste it creates.

3. Oscar Auliq-Ice:

   Women play an integral role in human society, and their contributions are essential to the development and growth of societies worldwide.

4. Adam Friedman:

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

5. The NABJ:

   Diversity, Inclusion and Equity are top priorities at ESPN. We recognize more work needs to be done, and we will continue our commitment to creating a culture that reflects our values. Our partnership with NABJ is an integral part of that commitment.

Popularity rank by frequency of use

References

1. ^ Princeton's WordNet
   http://wordnetweb.princeton.edu/perl/webwn?s=integral
2. ^ Wiktionary
   https://en.wiktionary.org/wiki/Integral
3. ^ Samuel Johnson's Dictionary
   https://johnsonsdictionaryonline.com/views/search.php?term=integral
4. ^ Wikipedia
   https://en.wikipedia.org/wiki/Integral
5. ^ ChatGPT
   https://chat.openai.com
6. ^ Webster Dictionary
   https://www.merriam-webster.com/dictionary/integral
7. ^ Wikidata
   https://www.wikidata.org/w/index.php?search=integral