Integrable: meaning, definitions and examples

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integrable

 

[ ˈɪn.tɪ.ɡrə.bəl ]

Adjective
Context #1 | Adjective

mathematics

Capable of being integrated; able to be expressed as a definite integral.

Synonyms

integratable, integratable.

Which Synonym Should You Choose?

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Word Description / Examples
integrable

This word is used in mathematical contexts to describe a function that can be integrated. It implies that the function meets certain conditions that allow for the calculation of its integral.

  • The function f(x) is integrable over the interval [a, b].
  • To solve this problem, we first need to confirm that the function is integrable.
integratable

This word is used to describe something that can be integrated, particularly in technical or practical scenarios, such as in technology or business. It typically implies future potential or compatibility for integration.

  • The platform is designed to be integratable with various third-party applications.
  • Ensure that the components are integratable to avoid compatibility issues in the future.

Examples of usage

  • The function f(x) is integrable on the interval [a, b].
  • The area under the curve is integrable with respect to x.
Context #2 | Adjective

general

Capable of being combined or unified into a coherent whole.

Synonyms

combinable, unifiable.

Which Synonym Should You Choose?

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Word Description / Examples
integrable

Use this term primarily in mathematical or computational contexts to describe a function or system that can be integrated.

  • The integrable function allowed the mathematician to solve the equation easily.
  • This system is integrable and can be computed using basic calculus.
combinable

Suitable when describing objects, elements, or ingredients that can be combined or mixed together to form a whole.

  • These two chemicals are combinable and result in a powerful reaction.
  • The ingredients are combinable to create a delicious dish.
unifiable

Used to describe things that can be united or brought together into a single entity, often in social, organizational, or theoretical contexts.

  • The different factions were unifiable under a common goal.
  • These theories are unifiable into a single coherent framework.

Examples of usage

  • The different perspectives on the issue are integrable into a comprehensive report.
  • The various elements of the design are integrable into a harmonious composition.

Translations

Translations of the word "integrable" in other languages:

🇵🇹 integrável

🇮🇳 अंतर्गणनीय

🇩🇪 integrierbar

🇮🇩 terintegrasi

🇺🇦 інтегровний

🇵🇱 całkowalny

🇯🇵 積分可能 (sekibunkano)

🇫🇷 intégrable

🇪🇸 integrable

🇹🇷 integrallenebilir

🇰🇷 적분 가능한 (jeokbun ganeunghan)

🇸🇦 قابل للتكامل

🇨🇿 integrovatelný

🇸🇰 integrovateľný

🇨🇳 可积 (kě jī)

🇸🇮 integrabilen

🇮🇸 heildanlegur

🇰🇿 интегралданатын

🇬🇪 ინტეგრირებადი

🇦🇿 inteqrasiya oluna bilən

🇲🇽 integrable

Etymology

The term 'integrable' originated from the Latin word 'integrabilis', which means 'that can be made whole'. In mathematics, the concept of integrability has been explored extensively, particularly in the field of calculus. The idea of integrable functions and integrals has played a crucial role in the development of mathematical analysis and its applications in various scientific disciplines.