Difference between revisions of "Constant of integration"
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| − | In [[calculus]], the indefinite integral of a given function (i.e., the set of all antiderivatives of the function) is only defined up to an additive constant, the constant of integration. | + | In [[calculus]], the [[indefinite integral]] of a given [[Function (mathemtics)|function]] (i.e., the set of all [[Antiderivative|antiderivatives]] of the function) is only defined [[up to]] an additive constant, the '''constant of integration'''. |
This constant expresses an ambiguity inherent in the construction of antiderivatives. | This constant expresses an ambiguity inherent in the construction of antiderivatives. | ||
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== See also == | == See also == | ||
| + | * [[Antiderivative]] | ||
* [[Calculus]] | * [[Calculus]] | ||
| + | * [[Function (mathematics)]] | ||
* [[Mathematics]] | * [[Mathematics]] | ||
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* [https://en.wikipedia.org/wiki/Constant_of_integration Constant of integration] @ Wikipedia | * [https://en.wikipedia.org/wiki/Constant_of_integration Constant of integration] @ Wikipedia | ||
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| + | [[Category:Mathematics]] | ||
Latest revision as of 09:15, 21 April 2016
In calculus, the indefinite integral of a given function (i.e., the set of all antiderivatives of the function) is only defined up to an additive constant, the constant of integration.
This constant expresses an ambiguity inherent in the construction of antiderivatives.
See also
External links
- Constant of integration @ Wikipedia
