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In [[calculus]], an '''antiderivative''' (or primitive function, primitive integral, indefinite integral, etc.) of a [[Function (mathematics)|mathematical function]] <code>f</code> is a differentiable function <code>F</code? whose derivative is equal to the original function <code>f</code>.

This can be stated symbolically as <code>F′ = f</code>.

== Description ==

The process of solving for antiderivatives is called antidifferentiation (or indefinite integration) and its opposite operation is called differentiation, which is the process of finding a derivative.

== Relationship to definite integrals ==

Antiderivatives are related to definite integrals through the fundamental theorem of calculus: the definite integral of a function over an interval is equal to the difference between the values of an antiderivative evaluated at the endpoints of the interval.

== Antidifference ==

The discrete equivalent of the notion of antiderivative is antidifference.

== See also ==

* [[Calculus]]
* [[Constant of integration]]
* [[Function (mathematics)]]
* [[Mathematics]]

== External links ==

* [https://en.wikipedia.org/wiki/Antiderivative Antiderivative] @ Wikipedia