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indefinite integral
(redirected from Indefinite integrals)

   Also found in: Encyclopedia, Wikipedia 0.01 sec.
indefinite integral
n.
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 <$>f(x)dx where f(x) is the given function
d.  the symbol <$>

indefinite integral  (n-df-nt)
A function whose derivative is a given function.
ThesaurusLegend:  Synonyms Related Words Antonyms
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)


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Integral calculus: Integration as the inverse process of differentiation, indefinite integrals of standard functions, definite integrals and their properties, Fundamental Theorem of Integral Calculus.
Using the fact that arctan(0) = 0, arctan(([infinity]) = [pi]/2, ln(1) = 0, ln([infinity]) = [infinity] these indefinite integrals can be evaluated as equal to: [pi]/4 for n = 2, 0 for n = 3, [pi]/4 for n = 4, divergent for n = 5.
The nine chapters also develop techniques for using basic integration formula to obtain indefinite integrals of complicated functions, and applies definite integrals to compute areas between curves, volumes of solids, lengths of curves, and work done by a varying force.
 
 
 
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