If f & F are function of x such that F'(x) = f(x) then the function F is called a Primitive or Antiderivative or Integral of f(x) w.r.t. x and is written symbolically as
where C is called the constant of integration.
Indefinite Integration, also known as anti-differentiation, is a fundamental concept in calculus. It involves finding a function whose derivative is a given function. If we have a function f(x), indefinite integration aims to determine another function F(x) such that when we differentiate F(x), we get f(x).
In simpler terms, indefinite integration is the reverse process of differentiation. When you differentiate a function, you find its rate of change. Conversely, when you integrate, you are looking for the original function that led to that rate of change.