indefinite integral

American  

noun

Mathematics.

1. a representation, usually in symbolic form, of any function whose derivative is a given function.

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indefinite integral British  

noun

1. maths

   1. any function whose derivative is the given function, as x ², x ² + 3, x ²–5, etc of 2x

   2. the schema representing all such functions, here x ² + k

   3. the symbolic representation of this as a function of the given function, written ʃ f ( x ) dx where f ( x ) is the given function

   4. the symbol ʃ

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indefinite integral Scientific  

/ ĭn-dĕf′ə-nĭt /

1. A function whose derivative is a given function.

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Etymology

Origin of indefinite integral

First recorded in 1875–80

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• definite integral vs. indefinite integral

Example Sentences

See Examples For:

indefinite integral

Since the indefinite integral of a vector-valued function involves indefinite integrals of the component functions, each of these component integrals contains an integration constant.

From Textbooks ● Mar. 30, 2016

In the following exercises, use a suitable change of variables to determine the indefinite integral.

From Textbooks ● Mar. 30, 2016

Note that we are verifying an indefinite integral for a sum.

From Textbooks ● Mar. 30, 2016

Evaluating the derivative and indefinite integral in this way is called term-by-term differentiation of a power series and term-by-term integration of a power series, respectively.

From Textbooks ● Mar. 30, 2016

The first inquiry leads directly to the indefinite integral, the second directly to the definite integral.

From Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 3 "Frost" to "Fyzabad" by Various