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  Integration in Mathematics Integration is a fundamental concept in calculus that represents the accumulation of quantities. It is the reverse process of differentiation and is used to find areas, volumes, central points, and many other useful things. 1. Why is Integration Important? Finds Area under curves. Calculates Volume in 3D spaces. Solves Differential Equations in physics and engineering. Used in Probability & Statistics for continuous distributions. 2. Types of Integration 1️⃣ Indefinite Integral (Without Limits) Represents the antiderivative of a function. Formula: ∫ f ( x ) d x = F ( x ) + C \int f(x) dx = F(x) + C where C C is the constant of integration. Example: ∫ x 2 d x = x 3 3 + C \int x^2 dx = \frac{x^3}{3} + C 2️⃣ Definite Integral (With Limits) Computes a numerical value over an interval [ a , b ] [a, b] . Formula: ∫ a b f ( x ) d x = F ( b ) − F ( a ) \int_{a}^{b} f(x) dx = F(b) - F(a) Example: ∫ 0 3 x 2 d x = [ x 3 3 ...