Definite vs. Indefinite Integrals

Definition

A definite integral represents the accumulation of a quantity over a specific interval, and it gives a numerical value. An indefinite integral represents the antiderivative of a function, and it gives a family of functions.

Related terms

Integral Rules:

These are formulas or techniques used to evaluate integrals more easily by applying specific rules such as linearity, power rule, or substitution.

U-Substitution:

It is a method used to simplify integrals by substituting part of the integrand with another variable to make integration easier.

Antiderivative:

It refers to finding the original function whose derivative matches a given function by adding an arbitrary constant (C) at the end.