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

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

The CBSE prescribes NCERT textbooks. We have compiled the NCERT solutions for class 12 maths chapter 8. These NCERT solutions are prepared exercise-wise to help you prepare in the best possible manner for your exams.

In NCERT solutions for class 12 maths chapter 8, all the questions provided with appropriate solutions will come in handy to understand the concept.  All the important topics are covered in the exercises and each answer comes with a detailed explanation to help students understand concepts better.

NCERT solutions for class 12 maths chapter 8 are prepared by our expert faculties to help you to prepare for your exams in a better way and enhance your score. We provide step by step solutions for the questions given in class 12 maths NCERT textbook as per CBSE Board guidelines

These solutions are prepared according to the exam pattern and with Toppr app, you can download NCERT solutions for class 12 maths chapter 8 for free. In case you have a doubt while you are studying we have a team of teachers who prove live doubt solving session only for you.

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

In NCERT solutions for class 12 maths chapter 8, you will deal with various integrals applications, properties of definite integrals, limits of integration, application of indefinite integrals, area of the region bounded by the curve, area of the region enclosed between two curves, Leibnitz Rule, properties of definite integral, properties of the integral function, gamma function, properties of the gamma function, Walli’s formula, integration by the first principle. ### Sub-topics covered under NCERT Solutions for Class 12 Maths Chapter 8

• 8.1 – Introduction
• 8.2 – Area under Simple Curves
• 8.2.1 – Area of the region bounded by a curve and a line
• 8.3 – Area between Two Curves

### NCERT Solutions for Class 12 Maths Chapter 8

In NCERT solutions for class 12 maths chapter 8, you will study area under curve, area bounded by the curve and horizontal or vertical line, the area between curve and line, the area between curve and curve.

Let us now discuss the subtopics include in NCERT solutions for class 12 maths chapter 8.

8.1 – Introduction

This section tells you about the study-specific application of integrals i.e. finding the area under simple curves, the area between lines and arcs of circles, parabolas, and ellipses.

8.2 – Area under Simple Curve

In this section, you will learn to find the area enclosed by the curve by Leibnitz Rule, evaluation of definite integrals by substitution, properties of definite integral, properties of the integral function, gamma function, properties of the gamma function, Walli’s formula.

8.2.1 – The area of the region bounded by a curve and a line

In this, you find the area of the region bounded by a line and a circle, a line and a parabola, a line and an ellipse,

8.3 – Area between Two Curves

In this, you will find the area enclosed by two curves, area of curves given by polar equations, area of parametric curves.

You can download NCERT Solutions for Class 12 Maths Chapter 8 PDF by clicking on the button below ### Download Toppr – Best Learning App for Class 5 to 12

We provide comprehensive NCERT Solutions for class 12 to all questions given in the exercises at the chapter end. And we also provide free pdf for the NCERT solutions for class 12. By Toppr app, you can get a free session of doubt solving of NCERT solutions for class 12 maths chapter 8 by our experts which explain each and every concept in detail. We also offer a free online test with the help which you can perform extremely well in your exam. So, download Toppr app for Android and iOS or Signup for free.

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