antiderivative

A function whose derivative is the given function — differentiation run in reverse.

An antiderivative of $f$ is any function $F$ with $F'(x)=f(x)$ . If $F$ is one antiderivative, every other one has the form $F(x)+C$ for some constant $C$ , since two functions with the same derivative differ only by a constant.

Examples

$F(x)=x^3$ is an antiderivative of $f(x)=3x^2$ , and so is $x^3+7$ .