Principle objective of this article is to Define and Discuss on Integration. Here explain Integration in mathematical terms. This article explain all functions with proper examples and explanation. Indefinite integration means anti difference; that is, given the function ƒ(x), determine by far the most general function F(x) as their derivative is ƒ (x). The symbol for this operation is the crucial sign, ∫, followed from the integrand and differential, like dx, which specifies the particular variable of integration.