# Class 12 Maths Chapter 5 Application of Definite Integration

Maharashtra State Board, Class 12 Mathematics & Statistics-2 (Arts & Science) Chapter 5 Application of Definite Integration is an important chapter. In this chapter, there are two exercises that are exercise 5.1 Application of Definite Integration, Exercise 5 Application of Definite Integration Miscellaneous Exercise 5. The students who are studying in class 12 of Maharashtra state Board and want to score more marks in the final examination, need to go through our Pdf solutions once.

Below, we provide free Pdf solutions for this chapter 5 Application of Definite Integration.

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## Maharashtra Board Class 12 Maths Chapter 5 Application of Definite Integration answers in Pdf

As we discussed above that, we are providing you with free Pdf solutions for the exercise 7.1 and exercise 7.2 and Exercise 7 of the Chapter 7 Probability Distributions in Pdf. If you want to score good marks in the final examinations, you need to download our Pdf solutions. Our Pdf solutions are prepared by the expert teachers who have more to twenty years of teaching experience.

## Understanding the Concept of Chapter 5 Application of Definite Integration :

The concept of definite integration is used to find the area between a curve and the x-axis. This area is represented by a definite integral, which is the definite integral of a function, f(x), from a to b, represented by the symbol ∫baf(x)dx.

In order to find the definite integral of a function, we must first find the antiderivative of the function, also known as the indefinite integral. The antiderivative is the inverse operation of differentiation and it gives us the general solution of a function.

Once we have the antiderivative, we can then use the definite integral to find the area between a curve and the x-axis by plugging in the limits of integration, a and b. This area is also known as the definite integral of the function.

The concept of definite integration is used in various fields such as physics, engineering, and economics. In physics, definite integration is used to find the displacement of a particle moving along a curve. In engineering, definite integration is used to find the volume of a solid of revolution. In economics, definite integration is used to find the total cost or revenue of a particular product.

Overall, the concept of definite integration is a powerful tool that allows us to find the area between a curve and the x-axis, and it has various applications in different fields.

## Importance of Chapter 5 Application of Definite Integration of Class 12 Mathematics & Statistics-2 (Arts & Science)

Definite integration is an important concept in calculus that is used to calculate the area under a curve and the total change in a quantity over a given interval. The concept of definite integration is used in many areas of mathematics and science, including physics, engineering, and economics. In class 12, the chapter on the application of definite integration is important because it provides students with a deeper understanding of the concept and its applications, which will be useful in future studies and careers. Additionally, it can be used to solve real-world problems such as finding the displacement, velocity and acceleration of a moving object. The chapter is also important as it gives students a deeper understanding of the fundamental theorem of calculus, which connects the concepts of differentiation and integration.