Indefinite integration, also known as anti-differentiation, is the process of finding a function F(x) whose derivative is a given function f(x). It results in a family of functions plus a constant of integration, represented as F(x) + C.

The constant C represents the family of all possible antiderivatives. Since differentiating a constant results in zero, different constants added to the antiderivative still produce the same derivative.

To perform indefinite integration, you use known integration rules and formulas, such as the power rule, sum rule, and substitution method, to find the antiderivative of the given function.

An antiderivative of a function f(x) is a function F(x) such that F'(x) = f(x). Indefinite integration aims to find this antiderivative.