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.

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.]

FreebaseRate 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

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   Mark

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   Daniel

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   Mia

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   Australian

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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. Joe Biden:

   The strategic ties between our militaries are integral in maintaining stability and facing shared threats in the Middle East, and we are striving to expand our cooperation and to create a variety of new opportunities in the air, at sea and on land, our relationship with the United States is a significant component in preserving regional stability in the face of the ongoing strategic race with the Iranian regime, which not only endangers the State of Israel, but is a regional and global threat which countries in the region must act against together.

2. Mitch McConnell:

   As the days turn to weeks, I know we're all eager to come together and collaborate on ways we can continue to honor John McCain memory, generation after generation of Americans will hear about the cocky pilot who barely scraped through Annapolis, but then defended our nation in the skies. Witnessed to our highest values even through terrible torture. Captured the country's imagination through national campaigns that spotlighted many of our highest values and became so integral to the United States Russell Senate, where our nation airs and advances its great debates.

3. Stephan Harbarth:

   Anyone who lives in Germany needs to understand that anti-Semitism has no place in our society, and Israel’s right to exist is an integral part of our country’s doctrine.

4. Tomiko Brown-Nagin:

   She has vast and relevant legal experience, including in the criminal legal system. If she's confirmed to the court, there will be for the first time since Thurgood Marshall a justice with significant experience representing criminal defendants, ultimately, public defenders, which is the role that Patrick Jackson played for a couple of years, are an integral part of our legal system, ensuring due process and right to counsel for defendants protected by the Bill of Rights to the Constitution.

5. Shawn Robbins:

   Audiences are diverse and complex, and so too is the box office when it's firing on all cylinders, comic book films attract most of the attention, and they certainly are near the center of the industry's financial gravity, but a variety of content aimed at all demographics has always been and will always remain integral to the sustained success of the theatrical experience.

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