# indefinite integral

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## Words related to 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)

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A function F : T [right arrow] X is called an antiderivative of f : T [right arrow] X provided
ii) Every ld-continuous function f has a [nabla] antiderivative.
So, if we want to calculate the area of f we make use of the primitive function f(or the antiderivative of f).
It is noteworthy to mention that every rd-continuous function f has an antiderivative F.
n)] (x), n [member of] Z exists for [absolute value of x] < 1 (when for n < 0 it denotes the nth antiderivative of f).
Few of us know precisely what algorithms our CAS uses in determining antiderivatives, or why the CAS may fail to provide an antiderivative on a particular example; however, good facility in hand-computation together with a CAS enables users to handle more sophisticated examples whenever they arise.
nj] (x) provide evaluation of an antiderivative of a continuous function on the interval [0,1].
A function F: T [right arrow] R is called an antiderivative of f: T [right arrow] R provided [F.
a]f(t)dt consists precisely of values of the definite integral, and that this path turns out to be an antiderivative of the original function
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