integrable

American  

[in-ti-gruh-buhl] / ˈɪn tɪ grə bəl /

adjective

Mathematics.

1. capable of being integrated, 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

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

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

It would be interesting to verify in examples that this is the case in at least the majority of the differential equations which are known to be integrable in finite terms.

From Encyclopaedia Britannica, 11th Edition, Volume 8, Slice 4 "Diameter" to "Dinarchus" by Various

If G is an integrable group of order r, the infinitesimal operations X1, X2, ...,

From Encyclopaedia Britannica, 11th Edition, Volume 12, Slice 6 "Groups, Theory of" to "Gwyniad" by Various