The Concept

Let Φ(x) be a function and f (x) be the derivative of f i.e., , we say that Φ(x) is antiderivative or primitive of f(x). We also know that . So, Φ(x) + c for all values of C, also premitives of f (x). The collection of all its primitives is called the indefinite integral of f(x) and is denoted by .

Q(x) is primitive of f(x) and C is an arbitrary constant known as the constant of Integration.