What is "antiderivative"

n. (context calculus English) A function whose derivative is a given function; an indefinite integral

In calculus, an antiderivative, primitive function, primitive integral or indefinite integral of a function is a differentiable function whose derivative is equal to the original function . This can be stated symbolically as ′ . 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.

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.

The discrete equivalent of the notion of antiderivative is antidifference.

In complex analysis, a branch of mathematics, the antiderivative, or primitive, of a complex-valued function g is a function whose complex derivative is g. More precisely, given an open set U in the complex plane and a function $g:U\to \mathbb C,$ the antiderivative of g is a function $f:U\to \mathbb C$ that satisfies $\frac{df}{dz}=g$.

As such, this concept is the complex-variable version of the antiderivative of a real-valued function.