# NCERT Solutions for Class 12 Maths Chapter 8 – Application of Integrals

NCERT Solutions for Class 12 Maths Chapter 8 provides solutions to all of the questions of the chapter. It covers basic math to help students progress in their field of work. The concept of Application Of Integrals must be understood by a student since it is an important aspect of the question paper, and the fundamentals of this chapter can be used in higher grades.

The concept must be well understood before real-world implementations and problems can be solved. Hence, Download and go through the Chapter 8 Class 12 Maths Solutions PDF!

## Download NCERT Solutions for Class 12 Maths Chapter 8 Application of Integrals PDF

This chapter will assist you in solidifying your base in the use of integrals. You can quickly download and practice all of the NCERT exercises with solutions in order to improve the 12th board exam scores and prepare for any competitive exams.

### Access Chapter 8 Class 12 Maths Solutions PDF

Class-12-Mathematics-Solutions-Chapter-8 pdf

Start practicing offline with these NCERT Solutions for Class 12 Maths Chapter 8.

## What will you get in NCERT Solutions for Class 12 Maths Chapter 8?

The following are the main topics discussed in NCERT Solutions for Class 12 Maths Chapter 8:

#### The subtopics of the chapter are as follow-

 8.1 Introduction 8.2 Area under Simple Curves 8.3 Area between Two Curves. Others Miscellaneous Q&A

#### The exercises in Chapter 8 Class 12 Maths Solutions are as follows-

 Exercise Solutions 8.1 13 Questions (8 Long, 3 Short, 2 MCQs) Exercise Solutions8.2 7 Questions(5 Long, 2 MCQs) Exercise Solutions Miscellaneous 19 Questions (8 Long, 7 Short, 4 MCQs)

Let’s now have a look at the subtopics in brief-

### CBSE Class 12 Maths Chapter 8: Introduction

The chapter begins with a welcoming intro part stating the brief recollection of the last chapter, take for instance areas bounded by curve, definite integrals, the limit of a sum, a small introduction to the application of integrals with a simple curve, parabolas, ellipses, and more. This part also covers the average value of function evaluated through integration and more.

### CBSE Class 12 Maths- Chapter 8: Area under the simple curve

This portion of the chapter talks about the area bounded by the curve y=f(x) using this formula.  Given are few examples to get a clear picture of the same-

Imagine that you are sharing a round blanket with your sibling. If the two of you are accommodating, then the extent to which you will not be covered will depend on the size of the blanket. In mathematical terms, we define it as the area under the blanket available to the two of you.

Several illustrations presented in this section will definitely help you with understanding the chapter better and faster.

### CBSE Class 12 Maths Chapter 8- Area between two curves

Here in this portion, you will study finding out the area between two curves with solved problems. This portion teaches that the area can be found by dividing the region into numbers of pieces of the small area after that adding the area of those small pieces. Additionally, it would be great if those small pieces are in vertical shape.

## NCERT Solutions for Class 12 Maths Chapter – 8: Theorems and Formulas

Well, listing down some of the important formulas that you will study in this chapter-

1. The area of the region bounded by the curve y = f (x), x-axis and the lines x = a and x = b (b > a) is given by the formula:

Area = ∫_a^b y dx =∫_a^b f(x)dx, where b is the upper limit and a is the lower limit.

1. The area of the region enclosed between two curves y = f (x), y = g (x) and the lines x = a, x = b is given by the formula,

Area =∫_a^b ,where f(x) ≥ g(x) in [a, b]

1. If f (x) ≥ g (x) in [a, c] and f (x) ≤ g (x) in [c, b], a < c < b, then

Area =∫_​a^c +∫_c​^b

(1. Where c is the upper limit with a in the lower limit)

(2. Where b is the upper limit with c in the lower limit)

## Benefits of NCERT Solutions for Class 12 Maths Chapter- 8

We have chalked down a few of the benefits that you would enjoy with NCERT Solutions for Class 12 Maths Chapter 8. Let’s see-

1. Assist students with their homework and competitive tests.
2. Diagrams are used to answer all of the questions.
3. Content is well-structured.
4. Assist students in reinforcing their fundamental understanding of integral applications.
5. Subject expertise assisted in the preparation of these NCERT Solutions.

This is everything that you need for preparing CBSE NCERT Solutions for Class 12 Maths Chapter 8. We wish you do great in your finals. Also, if you are facing any doubts regarding the same, make sure to comment down so that our professional may reach out to you.

### How can we get a perfect score on the NCERT Solutions for Class 12 Maths Chapter 8?

KopyKitab’s experts created the NCERT Solutions for Class 12 Maths Chapter 8 after performing extensive research on each term. It will help you to score 100 in Class 12 Maths.

### Are NCERT Solutions for Class 12 Maths Chapter 8 important to study?

Yes. Chapter 8 Class 12 Maths is an important topic to study for 12th board preparation.

### How many exercises are there in Chapter 8 of the NCERT textbook for Class 12 Maths?

In total, there are 2 exercises in Chapter 8 of Class 12 Maths.

### Can I receive an overview of the Chapter 8 Class 12 Maths Solutions exercises?

Yes. Go through the above blog for an overview of the NCERT Solutions for Applications of Integrals Class 12 exercises.

### Where can I get Maths Chapter 8 Class 12 NCERT solutions?

You can download Maths Chapter 8 Class 12 NCERT solutions from the above blog.

### Are NCERT Solutions for Class 12th Maths Chapter 8 sufficient for board examinations preparation?

Yes. NCERT Solutions for Class 12th Maths Chapter 8 is sufficient for board examinations preparation.