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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How does indefinite-integral compare to similar and commonly confused words? Explore the most common comparisons:

• definite integral vs. indefinite integral

Example Sentences

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

From Project Gutenberg

While an integrator determines the value of a definite integral, hence a Integraphs. mere constant, an integraph gives the value of an indefinite integral, which is a function of x.

From Project Gutenberg

It will therefore allow of registering a set of values of ∫ax ydx for any values of x, and thus of tabulating the values of any indefinite integral.

From Project Gutenberg