indefinite integral

n. Mathematics

A function whose derivative is a given function. Also called antiderivative.

American Heritage® Dictionary of the English Language, Fifth Edition. Copyright © 2016 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

indefinite integral

(Mathematics) maths

a. any function whose derivative is the given function, as x², x² + 3, x²–5, etc of 2x

b. the schema representing all such functions, here x² + k

c. the symbolic representation of this as a function of the given function, written ∫f(x)dx where f(x) is the given function

d. the symbol ∫

Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014

indef′inite in′tegral

a representation of any function whose derivative is a given function.

[1875–80]

ThesaurusAntonymsRelated WordsSynonymsLegend:

Noun

indefinite integral - the set of functions F(x) + C, where C is any real number, such that F(x) is the integral of f(x)

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

Translations

neodređeni integral

不定積分

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References in periodicals archive

obtained necessary optimality conditions for variational problems with a Lagrangian depending on a Caputo fractional derivative and indefinite integral. There has been a significant development in ordinary and partial fractional differential equations in recent years [6-9].

Variational Problems with Partial Fractional Derivative: Optimal Conditions and Noether's Theorem

As the screen suggests, this particular device represents an indefinite integral by leaving blanks where the limits of a definite integral might appear.

Integrating technologies into mathematics: comparing the cases of square roots and integrals

For example int(S x) is the indefinite integral of S with respect to 'x'.

The Impact of Technology in Mathematics Education: A Case Study of Pakistan

Then applying an indefinite integral of the Bessel function (see [30, Page 35])

Structural behavior of the music-type algorithm for imaging perfectly conducting cracks

To develop analytical expressions for inductances, the effective inverse air gap function of the eccentric SPSM has been defined, and its indefinite integral has then been determined.

An improved analytical model for salient pole synchronous machines under general eccentricity fault

the indefinite integral in the right hand side of (2.7) involving the arbitrary constant [c.sub.0] [member of] C.

A neutral-convolution type functional equation

(1) In what conditions the curvilinear indefinite integral (primitive) of a closed Lagrangian 1-form is also a Lagrangian?

Null Lagrangian forms and Euler-Lagrange PDEs

Baturo); (33) Exploring Students' Mathematics-Related Self Image as Learners (Silvana Martins Melo and Marcia Maria Fusaro Pinto); (34) Difficulties on Understanding the Indefinite Integral (N.

Proceedings of the Conference of the International Group for the Psychology of Mathematics Education (31st, Seoul, Korea, July 8-13, 2007). Volume 3

Both simple examples (such as creating a function which is the sum of two functions given as parameters, or creating the composition of two functions) and more complex examples such as generating a function representing the a finite number of terms of a Fourier series given the coefficients, and generating a function which is an approximation to an indefinite integral of a given function are shown.

Computer Science. (Senior Division 2002)

The first approach is to find an inclusion of the integrand, then integrate this inclusion to obtain an inclusion of the indefinite integral. Inclusions for the integrand may be obtained from Taylor polynomials, Tschebyscheff polynomials, or other approximating forms which have a known error term.

Abstracts from other ACM publications