Properties of Definite Integration || Part 3 || JEE Main 2026 Math || LIVE || @InfinityLearn-JEE

Welcome to Part 3 of our comprehensive series on Definite Integration! In this video, we will explore the properties of definite integrals - a fundamental concept in Calculus that is essential for JEE Main 2026 preparation. Understanding these properties will not only strengthen your problem-solving skills but also help you tackle complex integration questions with ease.

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A definite integral is a function that calculates the area between two points on a graph. The integral assigns a value to the area, which can be positive or negative, depending on the shape of the graph. The definite integral also has certain properties that make it unique.

First, the definite integral is additive. This means that the integral of a function over a certain interval is the same as the sum of the integrals of the individual functions over each sub-interval. Second, the definite integral is continuous. This means that the value of the integral at any point within the interval is the same as the value of the integral at any other point within the interval. Finally, the definite integral is differentiable. This means that the derivative of the integral is the same as the derivative of the original function.

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