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

## NCERT Solutions For Class 12 Maths Chapter 8 PDF Free Download

NCERT solutions for class 12 Maths Chapter 8-Application of Integrals, provides solutions for all the questions enlisted under the chapter. This chapter will help the students to strengthen their foundation on application of Integrals. Students can easily download and practice all the exercise-wise NCERT problems with solutions to score good marks in the final exams and get ready for any competitive exams. Download these NCERT Solutions of Class 12 maths and start practice offline.

## Access Answers of Maths NCERT Chapter 8 Application of Integrals                                                             Also Access NCERT Exemplar for Class 12 Maths Chapter 8 CBSE Notes for Class 12 Maths Chapter 8

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

In this chapter students will deal with various Integrals applications. Some of the important concepts are listed below:

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 $\int_{a}^{b}$ y dx = $\int_{a}^{b}$f(x) dx

2. 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 = $\int_{a}^{b}$ ; where f(x) ≥ g(x) in [a, b]

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

Area = $\int_{a}^{c}$ + $\int_{c}^{b}$

NCERT Solutions For Class 12 Maths Chapter 8 Exercises:

Get detailed solution for all the questions listed under below exercises:

Exercise 8.1 Solutions : 13 Questions (8 Long, 3 Short, 2 MCQ)

Exercise 8.2 Solutions : 7 Questions(5 Long, 2 MCQ)

Miscellaneous Exercise Solutions: 19 Questions (8 Long, 7 Short, 4 MCQ)

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

The main topics covered NCERT Solutions for Class 12, Chapter 8-Application of Integrals are:

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

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

1. These NCERT Solutions are prepared with the help of subject experts.
2. Help students to strengthen their basics on applications of Integrals.
3. Well-structured content.
4. All questions are solved with the help of diagrams.
5. Help students in their assignments and competitive exams.