integrable

Example Sentences

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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

Continuous functions on a closed interval are integrable.

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

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

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