Word info

antiderivative

Noun

Meaning

antiderivative (plural antiderivatives)

(calculus) A function whose derivative is a given function; an indefinite integral
Synonyms: primitive, integral

Source: en.wiktionary.org

Examples

Because it is usually easier to compute an antiderivative than to apply the definition of a definite integral, the fundamental theorem of calculus provides a practical way of computing definite integrals. Source: Internet

Derivative and antiderivative The graph of the natural logarithm (green) and its tangent at (black) Analytic properties of functions pass to their inverses. Source: Internet

If g is the antiderivative of f : : then the Laplace–Stieltjes transform of g and the Laplace transform of f coincide. Source: Internet

Consequently, computerized algebra systems have no hope of being able to find an antiderivative for a randomly constructed elementary function. Source: Internet

For some elementary functions, it is impossible to find an antiderivative in terms of other elementary functions. Source: Internet

It is rarely possible to glance at a function and write down its antiderivative. Source: Internet

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