NCERT Books for Class 12 Mathematics Chapter-8 Application of Integrals Free PDF Download

Students can download the Class 12 Mathematics Chapter 8 NCERT Textbook from its official website. On this page, Students can download Chapter-8 PDF Solutions of the book.

Before appearing for the Class 12 Mathematics annual exam, a student should be thoroughly prepared for every important topic that is going to come up in the examination. And to help CBSE Class 12 students score well in the annual examination, Vedantu has come up with a series of study materials including these NCERT Solutions for Class 12 Mathematics Chapter-8 Application of Integrals. 

These study materials are going to be extremely helpful to the CBSE Class 12 students as well as the students who are studying for competitive exams where the Class 12 Mathematics is applied. 

Following are the Fundamental Topics covered in NCERT Books for Class 12 Mathematics Chapter-8 Application of Integrals: 

1. (8.1) Introduction 

This section includes a basic introduction to the definite integrals and revolves around finding areas spanned by the curves, parabolas, ellipses and much more. Integration can be used to calculate the mean (average) value of a function. 

2. (8.2) Area under Simple Curves 

To learn how to define the area bounded by the curve y= f(x) with the help of the formula, a student must learn this section. 

This section also includes a sub-section: 8.2.1 The area of the region bounded by the curve and a line. 

Calculating the Area of the Space By 

1. A line and a circle 

2. A line and a parabola 

3. A line and an ellipse 

…can be possible with this section. 

3. Area Between Two Curves 

A student should learn this section thoroughly. That's because this section is based on illustrating the procedure of calculating the area between two curves. It also includes solved problems a student can easily refer to. As per this section, a student can find the area by splitting up (dividing) the region into a myriad of chunks consisting of small areas. Then, summing up the total area of those small chunks. 

4. Miscellaneous Questions and Answers

This section contains all the miscellaneous problems and solutions a student might need to refer to while studying. The goal of NCERT behind making this section is to make it easy for the students to learn the essence of this Chapter quickly and with ease. This section will give the students added practice and will require them to think a little bit outside the box.

Why Should a Student Use the NCERT Books Class 12 Mathematics Chapter-8 Application of Integrals?

1. These NCERT books are a better way to aid students to understand the basics of the application of integrals.

2. These NCERT books are created by experts and are very effective for students preparing for competitive exams as well.

3. The points discussed in these NCERT books are structured in a systematic way. 

4. Diagrams are used to explain all of the problems given.

5. These NCERT books can help students in their CBSE Class 12 annual examination as well as other competitive exams.