In calculus [Calculus], an antiderivative, inverse derivative, primitive function, primitive integral or indefinite integral[Note 1] of a function \(f\) is a differentiable [Differential calculus] function \(F\) whose derivative is equal to the original function \(f\). This can be stated symbolically as \(F’ = f\). The process of solving for antiderivatives is called antidifferentiation (or indefinite integration), and its opposite operation is called differentiation, which is the process of finding a derivative. Antiderivatives are often denoted by capital Roman letters such as F and G.
Example(s)
$$
\begin{align} f(x) &= F’(x) = x^2 \\ F(x) &= \frac{x^3}{3} + c \end{align}
$$