Integral: meaning, definitions and examples
๐
integral
[ หษชn.tษช.ษกrษl ]
mathematics
Necessary to make a whole complete; essential or fundamental.
Synonyms
essential, fundamental, vital.
Which Synonym Should You Choose?
Word | Description / Examples |
---|---|
integral |
Use 'integral' when talking about something that is necessary and cannot be separated from the whole.
|
essential |
Use 'essential' when referring to something absolutely necessary or extremely important.
|
fundamental |
Use 'fundamental' to describe something forming the base, from which everything else develops.
|
vital |
Use 'vital' when indicating something that is crucial or necessary for the survival or success of something.
|
Examples of usage
- The integral parts of the system.
- Patience is integral to success in this field.
mathematics
A mathematical object that can be interpreted as an area or a generalization of area.
Synonyms
Which Synonym Should You Choose?
Word | Description / Examples |
---|---|
integral |
Used often in mathematical or technical contexts to describe something that is necessary and important as part of a whole.
|
summation |
Typically used in mathematical or formal contexts where the process of adding things up needs to be emphasized.
|
total |
Commonly used in everyday language to describe the final amount after everything has been added together.
|
aggregate |
Best for contexts involving accumulation or collection of individual parts into a whole, often used in statistical or economic discussions.
|
Examples of usage
- The definite integral of a function.
- She studied the concept of integrals in calculus.
biology
A whole organism in its natural habitat.
Synonyms
Which Synonym Should You Choose?
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.
|
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.
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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.
|
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.
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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:
๐ต๐น integral
๐ฎ๐ณ เคธเคฎเคพเคเคฒเคจ
๐ฉ๐ช Integral
๐ฎ๐ฉ integral
๐บ๐ฆ ัะฝัะตะณัะฐะป
๐ต๐ฑ caลka
๐ฏ๐ต ็ฉๅ
๐ซ๐ท intรฉgrale
๐ช๐ธ integral
๐น๐ท integral
๐ฐ๐ท ์ ๋ถ
๐ธ๐ฆ ุชูุงู ู
๐จ๐ฟ integrรกl
๐ธ๐ฐ integrรกl
๐จ๐ณ ็งฏๅ
๐ธ๐ฎ integral
๐ฎ๐ธ heildun
๐ฐ๐ฟ ะธะฝัะตะณัะฐะป
๐ฌ๐ช แแแขแแแ แแแ
๐ฆ๐ฟ inteqral
๐ฒ๐ฝ 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.