Indefinite Integral


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indefinite integral

[in′def·ə·nət ′int·ə·grəl]
(mathematics)
An indefinite integral of a function ƒ(x) is a function F (x) whose derivative equals ƒ(x). Also known as antiderivative; integral.

Indefinite Integral

 

a general expression, denoted by Í f(x) = dx, for the antiderivative of an integrand f (x). For example:

(See)

References in periodicals archive ?
In this case, a constant C is included; however, in the following cases it will be omitted, on the assumption that readers are aware that indefinite integrals should always include a constant.
Similarly to the case of square roots, a number of methods for evaluating indefinite integrals have been developed for more difficult situations.
Two examples have been used in this paper, contrasting the acceptance of one example (finding a square root on a calculator) with our reservations about the other (evaluating indefinite integrals on a CAS calculator).
Tables of Some Indefinite Integrals of Bessel Functions, 2003, http://www.
rq] to be the indefinite integral of the functions [g.
By using the effective air gap function of the eccentric SPSM and determining its indefinite integral, precise analytical equations for inductances have been obtained.
r] (R, C) must have the indefinite integral in the same space.
Using an integral representation formula and an indefinite integral of the Bessel function, we determined the structure of single and multiple electromagnetic imaging functions.
7] Salahuddin, Hypergeometric Form of Certain Indefinite Integrals, Global Journal of Science Frontier Research(F), 6(2012), No.
The algorithms in Mathematica cover all of the indefinite integrals in standard reference books such as [6].
and we truncate the infinite summations at j = [+ or -]N in such a way that N and the mesh size h satisfies h = 1/N log(2[pi]dN/[alpha])or 1/N log([pi]dN/[alpha]), for definite or indefinite integrals, respectively.

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