INDEFINITE INTEGRAL Definition & Meaning

indefinite integral

noun

Mathematics.

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

indefinite integral

noun

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

indefinite integral

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A function whose derivative is a given function.

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�y��vlog History and Origins

Origin of indefinite integral¹

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:

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Example Sentences

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

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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.

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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.

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