indefinite integral

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indefinite integral

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

indefinite integral

n
(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 ∫

indef′inite in′tegral


n.
a representation of any function whose derivative is a given function.
[1875–80]
ThesaurusAntonymsRelated WordsSynonymsLegend:
Noun1.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
References in periodicals archive ?
1] [integral] 2[degrees] dp = p [mathematical expression not reproducible] 2t sin 30[degrees] = t or 1t sin 90[degrees] = t d2sin45[degrees] cos 45[degrees] = d [square root of -1 = i Topic Determinant Derivatives Derivatives High Order Derivatives Derivatives Indefinite Integrals Indefinite Integrals Indefinite Integrals Definite Integrals Trigonometry Trigonometry Complex Numbers Table 1 Various Mathlets and Their Possible Usage # Mathlet Example 1 [square root of [DELTA[].
This paper suggests that a succession of technologies has been available over time for finding square roots, but there has not been a similar succession for finding indefinite integrals.
In our work we have established certain indefinite integrals involving Fibonacci polynomials, Lucas polynomials, Bernoulli polynomials and Hermite polynomials.
Tables of Some Indefinite Integrals of Bessel Functions, 2003, http://www.
In this article, we consider ten indefinite integrals and the ability of three computer algebra systems (CAS) to evaluate them in closed-form, appealing only to the class of real, elementary functions.

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