# Definitions for **Integral**ˈɪn tɪ grəl, ɪnˈtɛg rəl

### This page provides all possible meanings and translations of the word **Integral**

### Random House Webster's College Dictionary

in•te•gralˈɪn tɪ grəl, ɪnˈtɛg rəl(adj.)

of or belonging as an essential part of the whole; necessary to completeness; constituent: an integral part.

composed of parts that together constitute a whole.

entire; complete; whole.

pertaining to or being an integer; not fractional.

**Category:**Mathpertaining to or involving mathematical integrals.

**Category:**Math(n.)an integral whole.

Math. the numerical measure of the area bounded above by the graph of a given function, below by the x-axis, and on the sides by ordinates drawn at the endpoints of a specified interval. a primitive. any of several analogous quantities.

**Category:**Math**Ref:**Also called Riemann integral.

#### Origin of **integral**:

1545–55; < ML integrālis. See integer , -al1

in′te•gral•ly(adv.)

### Princeton's WordNet

integral(adj)

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

built-in, constitutional, inbuilt, inherent, integral(adj)

existing as an essential constituent or characteristic

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

integral, entire, intact(adj)

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"

integral(adj)

of or denoted by an integer

### Kernerman English Learner's Dictionary

integral(adjective)ˈɪn tɪ grəl, ɪnˈtɛg rəl

being an essential part of sth

Today a company's website must be an integral part of its business.; ***Good communication is integral to a successful business.

### Wiktionary

integral(Noun)

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.

integral(Noun)

Antiderivative

The integral of uE000120333uE001 is uE000120334uE001.

integral(Adjective)

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

integral(Adjective)

Of, pertaining to, or being an integer.

**Origin:** From integralis, from integer; see integer.

### Webster Dictionary

Integral(adj)

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

Integral(adj)

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

Integral(adj)

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

Integral(adj)

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

Integral(noun)

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

Integral(noun)

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

### Freebase

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

Adjectives Frequency

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

# Translations for **Integral**

### Kernerman English Multilingual Dictionary

- volkoring, volgraanAfrikaans
- طَحين أسْمَرArabic
- непресято брашноBulgarian
- integralPortuguese (BR)
- hrubý, celozrnnýCzech
- das VollkornGerman
- fuldkorns-Danish
- αλεύρι ολικής άλεσηςGreek
- integralSpanish
- täistera-Estonian
- از لحاظ غذایی کاملFarsi
- täysjyväjauhoFinnish
- completFrench
- קֶמָח מָלֵאHebrew
- पूरा भोजनHindi
- cjelovit obrokCroatian
- korpás lisztHungarian
- tepung teriguIndonesian
- heilhveitimjölIcelandic
- integraleItalian
- 全粒小麦粉Japanese
- 완전 소맥분의Korean
- rupūs miltaiLithuanian
- rupja maluma miltiLatvian
- mil penuhMalay
- volkorenDutch
- sammalt hvete; helkorn-Norwegian
- razowyPolish
- از لحاظ غذایی کاملPersian
- غذای کاملPashto
- integralPortuguese
- făină integralăRomanian
- мука из цельного зернаRussian
- celozrnnýSlovak
- nepresejana mokaSlovenian
- integralanSerbian
- fullkornSwedish
- ซึ่งไม่ได้เอารำของข้าวสาลีออกThai
- kepekli unTurkish
- 全麥麵粉Chinese (Trad.)
- непросіяне борошноUkrainian
- گیہوں سے بنا ہوا آٹاUrdu
- 全麦面粉Chinese (Simp.)

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"Integral." *Definitions.net.* STANDS4 LLC, 2014. Web. 23 Apr. 2014. <http://www.definitions.net/definition/Integral>.