integrable

American  

[in-ti-gruh-buhl] / ˈɪn tɪ grə bəl /

adjective

Mathematics.

1. capable of being integrated, as a mathematical function or differential equation.

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Other Word Forms

• integrability noun
• nonintegrable adjective
• unintegrable adjective

Etymology

Origin of integrable

First recorded in 1720–30; integr(ate) + -able

Example Sentences

Not only does it establish a relationship between integration and differentiation, but also it guarantees that any integrable function has an antiderivative.

From Textbooks • Mar. 30, 2016

Functions that are not continuous may still be integrable, depending on the nature of the discontinuities.

From Textbooks • Mar. 30, 2016

Continuous functions on a closed interval are integrable.

From Textbooks • Mar. 30, 2016

These limitations on the nature of the function are known as Dirichlet’s conditions; it follows from them that the function is integrable throughout the interval.

From Encyclopaedia Britannica, 11th Edition, Volume 10, Slice 6 "Foraminifera" to "Fox, Edward" by Various

Similarly, if any one of the four derivates of a function is integrable in an interval, all are integrable, and the integral of either differs from the original function by a constant only.

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