Definite vs Indefinite Integrals

In Integral Calculus, there are two kinds of integrals: definite integrals and indefinite integrals. Below are how you would recognize definite integrals and indefinite integrals. You can integrate a function indefinitely or within limits. When you do not have limits, you are finding indefinite integrals. When there is a limit a and b, you will not have a constant of integration, donated by C. In the functions shown below, F'(x) = f(x).

Indefinite Integrals

∫f(x) dx is the indefinite integral of f of x dx. The process of finding indefinite integrals is called indefinite integration.

Definite Integrals

This is the definite integral of a continuous function f(x) from x=a to x=b. Whereas in the case of indefinite integration, a constant C is included, in definite integration, there is no constant because you can find exact the answer to each problem.