integrable Antonyms

No Synonyms and anytonyms found

Meaning of integrable

Webster

integrable (a.)

Capable of being integrated.

integrable Sentence Examples

1. The function is integrable on the given interval, ensuring its definite integral exists.
2. The integral of an integrable function over a closed interval is finite and well-defined.
3. If a function is continuous on an interval, then it is automatically integrable on that interval.
4. The Riemann integral provides a method to calculate the integral of a non-integrable function.
5. The concept of integrability plays a crucial role in the theory of calculus and analysis.
6. The Fundamental Theorem of Calculus states that if a function is continuous on an interval, then its indefinite integral is also integrable.
7. The integrability of a function is often determined using calculus techniques.
8. Some functions, such as those with infinite discontinuities, are not integrable over certain intervals.
9. The integrability of a function allows for the evaluation of its area under a curve.
10. Integrable functions form the basis for many mathematical applications, including probability, physics, and engineering.

FAQs About the word integrable

What is the meaning of the word integrable

Capable of being integrated.

What are the synonyms of the word integrable

No synonyms found.

What are the antonyms of the word integrable

No antonyms found.

What is the usage of word integrable

The function is integrable on the given interval, ensuring its definite integral exists.

The integral of an integrable function over a closed interval is finite and well-defined.

How to use the word integrable in a sentence?

If a function is continuous on an interval, then it is automatically integrable on that interval.

The Riemann integral provides a method to calculate the integral of a non-integrable function.