It should be no surprise then that there would be a name for the function f(x), or family of functions, that can generate f′(x) when differentiated: f(x) and f′(x) are a pair of inverse functions, and...It should be no surprise then that there would be a name for the function f(x), or family of functions, that can generate f′(x) when differentiated: f(x) and f′(x) are a pair of inverse functions, and f(x) is called an antiderivative of f′(x). We refer to ∫f(x)dx as “the indefinite integral of f(x) with respect to x”. The function f(x) is called the integrand and the constant C is called the constant of integration.
