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Meaning of "definite integral" in the English dictionary

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DICTIONARY
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PRONUNCIATION OF DEFINITE INTEGRAL

definite integral play
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GRAMMATICAL CATEGORY OF DEFINITE INTEGRAL

noun
adjective
verb
adverb
pronoun
preposition
conjunction
determiner
exclamation
Definite integral is a noun.
A noun is a type of word the meaning of which determines reality. Nouns provide the names for all things: people, objects, sensations, feelings, etc.

WHAT DOES DEFINITE INTEGRAL MEAN IN ENGLISH?

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 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 related 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: However, 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.

Definition of definite integral in the English dictionary

The definition of definite integral in the dictionary is the evaluation of the indefinite integral between two limits, representing the area between the given function and the x-axis between these two values of x. Other definition of definite integral is the expression for that function, ʃbaf dx, where f is the given function and x = a and x = b are the limits of integration. Where F = ʃ f dx, the indefinite integral, ʃba f dx = F –F.

WORDS THAT BEGIN LIKE DEFINITE INTEGRAL

defined-benefit
definement
definer
definienda
definiendum
definiens
definientia
definite
definite article
definite description
definitely
definiteness
definition
definitional
definitise
definitive
definitively
definitiveness
definitize
definitude

WORDS THAT END LIKE DEFINITE INTEGRAL

agricultural
central
coral
cultural
federal
floral
funeral
general
improper integral
in general
indefinite integral
integral
mineral
moral
natural
nonintegral
oral
podagral
rural
several

Synonyms and antonyms of definite integral in the English dictionary of synonyms

SYNONYMS

Translation of «definite integral» into 25 languages

TRANSLATOR
online translator

TRANSLATION OF DEFINITE INTEGRAL

Find out the translation of definite integral to 25 languages with our English multilingual translator.
The translations of definite integral from English to other languages presented in this section have been obtained through automatic statistical translation; where the essential translation unit is the word «definite integral» in English.

Translator English - Chinese

定积分
1,325 millions of speakers

Translator English - Spanish

integral definida
570 millions of speakers

English

definite integral
510 millions of speakers

Translator English - Hindi

अभिन्न निश्चित
380 millions of speakers
ar

Translator English - Arabic

التكامل المحدود
280 millions of speakers

Translator English - Russian

определенный интеграл
278 millions of speakers

Translator English - Portuguese

integral definida
270 millions of speakers

Translator English - Bengali

নিশ্চিত অবিচ্ছিন্ন
260 millions of speakers

Translator English - French

intégrale définie
220 millions of speakers

Translator English - Malay

Integral pasti
190 millions of speakers

Translator English - German

bestimmte Integral
180 millions of speakers

Translator English - Japanese

定積分
130 millions of speakers

Translator English - Korean

통합 확정
85 millions of speakers

Translator English - Javanese

Integral tinentu
85 millions of speakers
vi

Translator English - Vietnamese

xác định không thể tách rời
80 millions of speakers

Translator English - Tamil

திட்டவட்டமான ஒருங்கிணைப்பு
75 millions of speakers

Translator English - Marathi

निश्चित अभिन्न
75 millions of speakers

Translator English - Turkish

kesin integral
70 millions of speakers

Translator English - Italian

integrale definito
65 millions of speakers

Translator English - Polish

całka
50 millions of speakers

Translator English - Ukrainian

визначений інтеграл
40 millions of speakers

Translator English - Romanian

definit integral
30 millions of speakers
el

Translator English - Greek

ορισμένο ολοκλήρωμα
15 millions of speakers
af

Translator English - Afrikaans

bepaalde integraal
14 millions of speakers
sv

Translator English - Swedish

bestämda integralen
10 millions of speakers
no

Translator English - Norwegian

bestemt integral
5 millions of speakers

Trends of use of definite integral

TRENDS

TENDENCIES OF USE OF THE TERM «DEFINITE INTEGRAL»

The term «definite integral» is regularly used and occupies the 86.521 position in our list of most widely used terms in the English dictionary.
0
100%
FREQUENCY
Regularly used
60
/100
The map shown above gives the frequency of use of the term «definite integral» in the different countries.
Principal search tendencies and common uses of definite integral
List of principal searches undertaken by users to access our English online dictionary and most widely used expressions with the word «definite integral».

FREQUENCY OF USE OF THE TERM «DEFINITE INTEGRAL» OVER TIME

The graph expresses the annual evolution of the frequency of use of the word «definite integral» during the past 500 years. Its implementation is based on analysing how often the term «definite integral» appears in digitalised printed sources in English between the year 1500 and the present day.

Examples of use in the English literature, quotes and news about definite integral

EXAMPLES

10 ENGLISH BOOKS RELATING TO «DEFINITE INTEGRAL»

Discover the use of definite integral in the following bibliographical selection. Books relating to definite integral and brief extracts from same to provide context of its use in English literature.
1
The Absolute Minimum of a Definite Integral in a Special ...
This is a reproduction of a book published before 1923.
Egbert J Miles, 2012
2
Calculus: An Intuitive and Physical Approach (Second Edition)
Application-oriented introduction relates the subject as closely as possible to science.
Morris Kline, 2013
3
Calculus Quick Review Notes: Applications of Definite ...
APPLICATIONS. OF. THE. DEFINITE. INTEGRAL. The definite integral of a function are used in many applications. Those discussed here are Areas bounded by curves, Volumes Lengths of arcs of curves. AREAS The area of a region bounded ...
E Staff
4
Integral Quadratic Forms and Lattices: Proceedings of the ...
Volume 249, 1999 2-universal positive definite integral quinary quadratic forms Byeong Moon Kim1, Myung-Hwan Kim2 and Byeong-Kweon Oh3 ABSTRACT. As a generalization of the famous four square theorem of La- grange, Ramanujan  ...
Myung-Hwan Kim, 1999
5
A Treatise on Infinitesimal Calculus: Integral calculus, ...
A general definite integral expressed in its complete form . . 91 84. The effect of a reversal of the limits 92 85. The value of a definite integral is unaltered, if the extreme limits are the same and the intermediate limits are continuously additive 93 ...
Bartholomew Price, 1865
6
Introduction to Integral Calculus: Systematic Studies with ...
For the function f(x)=2x, over the interval [0, 1], we define the common limit of to be the definite integral off(x) = 2x, from x = 0 to x = 1. Symbolically we write this as (4) The numbers 0 and 1 appearing with the integral sign in equation (4) are ...
Ulrich L. Rohde, G. C. Jain, Ajay K. Poddar, 2012
7
Calculus: Problems and Solutions
This text helps students improve their understanding and problem-solving skills in analysis, analytic geometry, and higher algebra.
Abraham Ginzburg, 2003
8
A treatise on infinitesimal calculus, containing ...
A general definite integral expressed in its complete form . . 91 84. The effect of a reversal of the limits 92 85. The value of a definite integral is unaltered, if the extreme limits are the same and the intermediate limits are continuously additive 93 ...
Bartholomew Price, 1865
9
The Princeton Companion to Mathematics
However, there are in fact three concepts of integration that appear in the subject: the indefinite integral ∫ f (also known as the antiderivative), the unsigned definite integral ∫ [a,b]f(x)dx (which one would use to find the area under a curve, ...
Timothy Gowers, June Barrow-Green, Imre Leader, 2010
10
The Differential and Integral Calculus: Containing ...
And we here sec more, namely, that all the rest of the series, from and after any term, can be represented by a definite integral ; and from that definite integral, that the error made by stopping at the term which contains Sj, (inclusive) is not, ...
Augustus De Morgan, 1842

9 NEWS ITEMS WHICH INCLUDE THE TERM «DEFINITE INTEGRAL»

Find out what the national and international press are talking about and how the term definite integral is used in the context of the following news items.
1
Rand Paul gets schooled: Libertarian fantasies don't help kids learn …
Yes I want my students to know the basic theorems of calculus and to be able to compute a definite integral. But more important, I know that if ... «Salon, Aug 14»
2
Advancing on JEE
Hence mastering complex numbers, vectors, 3-D geometry and definite integral must be top on priority. 2. Algebra can be made easier if you ... «The Hindu, May 13»
3
Course 18 senior Justin Brereton is Grand Integrator again
The last problem was a peculiar definite integral involving a base-2 logarithm. Lian wasn't making much progress, but 28 seconds in, Brereton ... «The MIT Tech, Jan 13»
4
JEE: Prepare, plan and act
... hyperbola in coordinate geometry; functions, limits, continuity and differentiability, application of derivatives, definite integral in calculus. «Hindustan Times, Oct 12»
5
Wolfram Alpha Pro runs rings around today's search engines
However, Wolfram Alpha identified it as a definite integral (which defines the area under a curve on a graph), produced the properly written ... «GCN.com, Mar 12»
6
In-Depth: Spherical Harmonic Lighting
When number of samples,N, is large enough, by the law of large numbers, the estimator F will converge to the definite integral. Therefore, we ... «Gamasutra, Dec 11»
7
Maths Paper 2 deemed to be "grand" after Paper 1 shocker
The syllabus specifically states that definite integral proofs are ”restricted to spheres and cones” and are about a revolution of an axis. Sorry ... «thejournal.ie, Jun 11»
8
A landmark proof
Calculating the value of that phase required evaluation of a formidable-looking definite integral. Fortunately, that integral could be reduced, ... «Physics, Feb 11»
9
Hands on: Wolfram Alpha review
Or check out the result for 'h1n1', which brings up a beautiful 3D contour plot of the definite integral over a disc of radius R, namely ... «TechRadar UK, May 09»

REFERENCE
« EDUCALINGO. Definite integral [online]. Available <https://educalingo.com/en/dic-en/definite-integral>. Apr 2024 ».
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