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indefinite integral
noun
a representation, usually in symbolic form, of any function whose derivative is a given function.
indefinite integral
noun
maths
any function whose derivative is the given function, as x ², x ² + 3, x ²–5, etc of 2x
the schema representing all such functions, here x ² + k
the symbolic representation of this as a function of the given function, written ʃ f ( x ) dx where f ( x ) is the given function
the symbol ʃ
indefinite integral
A function whose derivative is a given function.
51Թ History and Origins
Origin of indefinite integral1
Example Sentences
The first inquiry leads directly to the indefinite integral, the second directly to the definite integral.
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.
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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