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Meaning of "indefinite integral" in the English dictionary

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DICTIONARY
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PRONUNCIATION OF INDEFINITE INTEGRAL

indefinite integral play
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GRAMMATICAL CATEGORY OF INDEFINITE INTEGRAL

noun
adjective
verb
adverb
pronoun
preposition
conjunction
determiner
exclamation
Indefinite 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 INDEFINITE INTEGRAL MEAN IN ENGLISH?

Antiderivative

In calculus, an antiderivative, primitive integral or indefinite integral of a function f is a differentiable function F whose derivative is equal to f, i.e., F ′ = f. The process of solving for antiderivatives is called antidifferentiation and its opposite operation is called differentiation, which is the process of finding a derivative. Antiderivatives are related to definite integrals through the fundamental theorem of calculus: the definite integral of a function over an interval is equal to the difference between the values of an antiderivative evaluated at the endpoints of the interval. The discrete equivalent of the notion of antiderivative is antidifference.

Definition of indefinite integral in the English dictionary

The first definition of indefinite integral in the dictionary is any function whose derivative is the given function, as x², x² + 3, x²–5, etc of 2x. Other definition of indefinite integral is the schema representing all such functions, here x² + k. Indefinite integral is also the symbolic representation of this as a function of the given function, written ʃf dx where f is the given function.

WORDS THAT BEGIN LIKE INDEFINITE INTEGRAL

indefeasibility
indefeasible
indefeasibleness
indefeasibly
indefectibility
indefectible
indefectibly
indefensibility
indefensible
indefensibleness
indefensibly
indefinability
indefinable
indefinableness
indefinably
indefinite
indefinite article
indefinite pronoun
indefinitely
indefiniteness

WORDS THAT END LIKE INDEFINITE INTEGRAL

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

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

SYNONYMS

Translation of «indefinite integral» into 25 languages

TRANSLATOR
online translator

TRANSLATION OF INDEFINITE INTEGRAL

Find out the translation of indefinite integral to 25 languages with our English multilingual translator.
The translations of indefinite 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 «indefinite integral» in English.

Translator English - Chinese

不定积分
1,325 millions of speakers

Translator English - Spanish

integral indefinida
570 millions of speakers

English

indefinite integral
510 millions of speakers

Translator English - Hindi

अभिन्न अनिश्चितकालीन
380 millions of speakers
ar

Translator English - Arabic

التكامل غير المحدد
280 millions of speakers

Translator English - Russian

неопределенный интеграл
278 millions of speakers

Translator English - Portuguese

integral indefinida
270 millions of speakers

Translator English - Bengali

অনির্দিষ্ট অবিচ্ছেদ্য
260 millions of speakers

Translator English - French

intégrale indéfinie
220 millions of speakers

Translator English - Malay

Integral tidak terbatas
190 millions of speakers

Translator English - German

unbestimmte Integral
180 millions of speakers

Translator English - Japanese

不定積分
130 millions of speakers

Translator English - Korean

통합 무기한
85 millions of speakers

Translator English - Javanese

Integral ora tentu
85 millions of speakers
vi

Translator English - Vietnamese

không xác định không thể tách rời
80 millions of speakers

Translator English - Tamil

காலவரையற்ற ஒருங்கிணைப்பு
75 millions of speakers

Translator English - Marathi

अनिश्चित अभिन्न
75 millions of speakers

Translator English - Turkish

Belirsiz integral
70 millions of speakers

Translator English - Italian

integrale indefinito
65 millions of speakers

Translator English - Polish

całka nieoznaczona
50 millions of speakers

Translator English - Ukrainian

невизначений інтеграл
40 millions of speakers

Translator English - Romanian

nedeterminată integral
30 millions of speakers
el

Translator English - Greek

αόριστο ολοκλήρωμα
15 millions of speakers
af

Translator English - Afrikaans

onbepaalde integrale
14 millions of speakers
sv

Translator English - Swedish

obestämd gral
10 millions of speakers
no

Translator English - Norwegian

ubestemt integral
5 millions of speakers

Trends of use of indefinite integral

TRENDS

TENDENCIES OF USE OF THE TERM «INDEFINITE INTEGRAL»

The term «indefinite integral» is regularly used and occupies the 88.701 position in our list of most widely used terms in the English dictionary.
0
100%
FREQUENCY
Regularly used
59
/100
The map shown above gives the frequency of use of the term «indefinite integral» in the different countries.
Principal search tendencies and common uses of indefinite integral
List of principal searches undertaken by users to access our English online dictionary and most widely used expressions with the word «indefinite integral».

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

The graph expresses the annual evolution of the frequency of use of the word «indefinite integral» during the past 500 years. Its implementation is based on analysing how often the term «indefinite 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 indefinite integral

EXAMPLES

10 ENGLISH BOOKS RELATING TO «INDEFINITE INTEGRAL»

Discover the use of indefinite integral in the following bibliographical selection. Books relating to indefinite integral and brief extracts from same to provide context of its use in English literature.
1
TI-Nspire For Dummies
Leave these fields blank if you want to evaluate an indefinite integral. Type the expression to be integrated in the field contained in the parentheses. The rightmost field is where you type the variable to integrate with respect to. Figure 8 -9 ...
Steve Ouellette, 2009
2
Numerical Mathematics and Computing
It is customary to distinguish two types of integrals: the definite and the indefinite integral. The indefinite integral of a function is another function or a class of functions, whereas the definite integral of a function over a fixed interval is a number.
E. Cheney, David Kincaid, 2007
3
Mathematical Applications for the Management, Life, and ...
The Indefinite Integral 12.1 OBJECTIVE ○ To find certain indefinite integrals ] Application Preview In our study of the theory of the firm, we have worked with total cost, total revenue, and profit functions and have found their marginal functions.
Ronald Harshbarger, James J. Reynolds, 2008
4
Mathematics for Physical Chemistry
We discuss the role of the antiderivative as an indefinite integral and the use of tables of indefinite and definite integrals. We discuss several methods of working out integrals without the use of a table. Finally, we discuss the use of integration ...
Robert G. Mortimer, 1999
5
Real Analysis: Theory of Measure and Integration
Conversely if 1°, 2°, and 3° hold, then / is an indefinite integral of a /xL-integrable extended real-valued 9JlL -measurable function on [a, b], namely /', and is thus absolutely continuous on [a, b] by Theorem 13.15. □ The following theorem is ...
J. Yeh, 2006
6
Differential and Integral Calculus
In other words, we shall no longer make any distinction between the primitive function and the indefinite integral. Nevertheless, if the reader is to have a proper understanding of the interrelations of these concepts it is absolutely necessary that ...
Richard Courant, 2011
7
Measure and Integral: An Introduction to Real Analysis
A variety of topics is considered, but for the most part, the results are related to the analogue for Lebesgue integrals of the fundamental theorem of calculus. 1. The Indefinite Integral If /is a Riemann integrable function on an interval [a,b] in R1, ...
Richard Wheeden, Richard L. Wheeden, Antoni Zygmund, 1977
8
A First Course in Numerical Analysis
We shall not explicitly consider the problem of evaluating the indefinite integral *0 -/'/((]* (4.3-6l in this chapter. This problem is equivalent to solving the differential equation dy " v '-- s 0 (4.3-7l and as such can be solved by the techniques of ...
Anthony Ralston, Philip Rabinowitz, 2001
9
Integration Theory
We then obtain the beautiful result that the absolutely continuous functions are precisely those functions which admit a representation as an indefinite integral. This can be seen as a generalization of the well-known fact that every continuously ...
Wolfgang Filter, K. Weber, 1997
10
A Modern Theory of Random Variation: With Applications in ...
Letting h(x, I) represent, in turn, Riemann, Stieltjes, and Burkill integrands, an indefinite integral of h(x, l) is an additive interval function H(J) whose value on every interval J equals the integral of h(x, l) on J. The indefinite integral H(l) is thus a ...
Patrick Muldowney, 2013

3 NEWS ITEMS WHICH INCLUDE THE TERM «INDEFINITE INTEGRAL»

Find out what the national and international press are talking about and how the term indefinite integral is used in the context of the following news items.
1
A Plea for Conceptual Hygiene in Neuroscience
Do you want to know the indefinite integral of (sinx cosx tanx cscx) dx? My answer: the square root of purple. If knowledge includes false belief, ... «Discovery Institute, Jan 15»
2
Wolfram Alpha and the £30 iPhone app
What, I wonder, is the indefinite integral of x squared plus x? On the website, I have to remember my Mathematica notation but the expanded ... «Telegraph.co.uk, Oct 09»
3
Manga Guide to Statistics
He was especially impressed, as a young boy, to see an indefinite integral among the 1+1=2's on the board in Huey, Dewey, and Louie's ... «Scientific Computing, May 09»

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