Indefinite Integral - Antiderivative - Primitive

a function ф(x) is called a primitive or an antiderivative of a function f(x) if ф'(x) = f(x).

For a function f(x), the collection of all its primitives is called the indefinite integral of f(x0 and is denoted by ∫f(x)dx.


∫f(x)dx = ф(x)+C (where C is a constant)

Here ∫ is the integral sign, f(x) is th integrand, x is the variable of integration and dx is the element of integration or differential of x.

The process of finding an indefinite integral of a given function is called integration of the function.