Integral: meaning, definitions and examples

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integral

 

[ หˆษชn.tษช.ษกrษ™l ]

Adjective / Noun
Context #1 | Adjective

mathematics

Necessary to make a whole complete; essential or fundamental.

Synonyms

essential, fundamental, vital.

Which Synonym Should You Choose?

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Word Description / Examples
integral

Use 'integral' when talking about something that is necessary and cannot be separated from the whole.

  • Teamwork is an integral part of our success.
  • Innovation is integral to the company's strategy.
essential

Use 'essential' when referring to something absolutely necessary or extremely important.

  • Good nutrition is essential for a healthy life.
  • It is essential to arrive on time for the meeting.
fundamental

Use 'fundamental' to describe something forming the base, from which everything else develops.

  • Freedom of speech is a fundamental human right.
  • Understanding basic math is fundamental to studying more advanced subjects.
vital

Use 'vital' when indicating something that is crucial or necessary for the survival or success of something.

  • Drinking water is vital for staying hydrated.
  • Customer feedback is vital for improving our services.

Examples of usage

  • The integral parts of the system.
  • Patience is integral to success in this field.
Context #2 | Noun

mathematics

A mathematical object that can be interpreted as an area or a generalization of area.

Synonyms

aggregate, summation, total.

Which Synonym Should You Choose?

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Word Description / Examples
integral

Used often in mathematical or technical contexts to describe something that is necessary and important as part of a whole.

  • Integral calculus is essential for understanding the area under curves.
  • Trust is an integral part of a healthy relationship.
summation

Typically used in mathematical or formal contexts where the process of adding things up needs to be emphasized.

  • The summation of the series took hours to calculate.
  • His speech was a summation of all his ideas on the subject.
total

Commonly used in everyday language to describe the final amount after everything has been added together.

  • The total cost of the groceries came to fifty dollars.
  • In total, there are five apples.
aggregate

Best for contexts involving accumulation or collection of individual parts into a whole, often used in statistical or economic discussions.

  • The aggregate earnings of the company exceeded expectations.
  • An aggregate score is calculated by adding individual scores.

Examples of usage

  • The definite integral of a function.
  • She studied the concept of integrals in calculus.
Context #3 | Noun

biology

A whole organism in its natural habitat.

Synonyms

entity, system, whole.

Which Synonym Should You Choose?

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Word Description / Examples
integral

Use this word when talking about something that is necessary and important as a part of a whole. It often implies that without this part, the whole would be incomplete or less effective.

  • Teamwork is an integral part of the project's success.
  • Education is integral to a child's development.
whole

This word is used when referring to something that is complete and not divided or missing any parts. It emphasizes the entirety of a single unit or thing.

  • He managed to eat the whole pizza by himself.
  • Considering the situation as a whole, it was the best decision to make.
entity

This term is suitable when referring to something that exists as a single and complete unit. It can be an organization, a living being, or any distinct existence.

  • The company became an independent entity after the merger.
  • Each cell is an entity that performs specific functions.
system

Use this word when describing a set of connected things or parts that operate together as a whole. This can be applied to mechanical systems, biological systems, social systems, etc.

  • The solar system consists of the Sun and the objects that orbit it.
  • The school has an efficient system for managing student records.

Examples of usage

  • The conservation of the integrals of the ecosystem is crucial.
  • The integrals of the forest are being protected.

Translations

Translations of the word "integral" in other languages:

๐Ÿ‡ต๐Ÿ‡น integral

๐Ÿ‡ฎ๐Ÿ‡ณ เคธเคฎเคพเค•เคฒเคจ

๐Ÿ‡ฉ๐Ÿ‡ช Integral

๐Ÿ‡ฎ๐Ÿ‡ฉ integral

๐Ÿ‡บ๐Ÿ‡ฆ ั–ะฝั‚ะตะณั€ะฐะป

๐Ÿ‡ต๐Ÿ‡ฑ caล‚ka

๐Ÿ‡ฏ๐Ÿ‡ต ็ฉๅˆ†

๐Ÿ‡ซ๐Ÿ‡ท intรฉgrale

๐Ÿ‡ช๐Ÿ‡ธ integral

๐Ÿ‡น๐Ÿ‡ท integral

๐Ÿ‡ฐ๐Ÿ‡ท ์ ๋ถ„

๐Ÿ‡ธ๐Ÿ‡ฆ ุชูƒุงู…ู„

๐Ÿ‡จ๐Ÿ‡ฟ integrรกl

๐Ÿ‡ธ๐Ÿ‡ฐ integrรกl

๐Ÿ‡จ๐Ÿ‡ณ ็งฏๅˆ†

๐Ÿ‡ธ๐Ÿ‡ฎ integral

๐Ÿ‡ฎ๐Ÿ‡ธ heildun

๐Ÿ‡ฐ๐Ÿ‡ฟ ะธะฝั‚ะตะณั€ะฐะป

๐Ÿ‡ฌ๐Ÿ‡ช แƒ˜แƒœแƒขแƒ”แƒ’แƒ แƒแƒšแƒ˜

๐Ÿ‡ฆ๐Ÿ‡ฟ inteqral

๐Ÿ‡ฒ๐Ÿ‡ฝ integral

Etymology

The word 'integral' originated from late Middle English, from the Latin word 'integralis', from 'integer' meaning 'whole'. It was first used in the mathematical sense in the 1670s by Sir Isaac Newton and Gottfried Wilhelm Leibniz. Over time, the term has expanded to various fields such as mathematics, biology, and general language usage.

Word Frequency Rank

Ranking #3,666, this word is part of upper-intermediate vocabulary. While not among the most basic terms, it appears often enough to be valuable for advanced communication.