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

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Last updated date: 25th Apr 2024
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An Overview of Chapter-8 Application of Integrals of Class 12 Mathematics

Free NCERT Books download for Class 12 Mathematics Chapter 8 - (Application of Integrals) on Vedantu.com. Students can also download the NCERT Textbooks Solutions in PDF for Class 6 to 12 all subjects. Register for Mathematics tuition to clear your doubts and score more in your exams.

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How to Download Class 12 Mathematics Chapter 8 NCERT Book for CBSE?

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. 

  1. (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. 

  1. 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. 

  1. 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.

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

1. Are Vedantu's Solutions for NCERT Books for Class 12 Mathematics Chapter-8 useful?

Top Mathematics experts working at Vedantu have designed these NCERT Solutions for Class 12 Mathematics for students to get a complete understanding of Chapter 8 (Application of Integrals). In this study material, every minuscule component is described and explained thoroughly. This will help students score well in the Class 12 annual exam as well as any small test. Students can even get NCERT books for Class 12 all Chapters from Vedantu's website or Vedantu mobile app.


2. Are Vedantu's Solutions for NCERT Books for Class 12 Mathematics Chapter-8 expensive?

No, the NCERT Solutions for Class 12 Mathematics Chapter-8 (Application of Integrals) are not expensive. In fact, students can get them completely free of cost by clicking the link on the same web page or downloading the Vedantu app for mobiles and tablets. Vedantu hires experts on every subject to create these study materials for Class 12 students for free. These NCERT Solutions are designed to help students have a deeper understanding of the subject. 

3. How to score well in Class 12 Mathematics annual exams?

For a Class 12 student appearing for the annual exams, Mathematics is one of the most scoring subjects. A good understanding of this subject can result in a tremendous increase in the average result of Class 12 annual examination. That is why mastering this subject is more than necessary to score good marks in the Class 12 examination. A student can score well in the examination by reading and understanding all the Chapters in the NCERT Class 12 Mathematics textbook and then solving Vedantu's NCERT Solutions for Class 12 Mathematics.

4. Are Vedantu's NCERT Solutions for Class 12 Mathematics Chapter-8 better than others?

We at Vedantu aim to provide the best possible study aids to our students. Our main purpose is to serve the students of India. That's why we hire experts to design our study materials to help students score well in the annual examination. The same goes with Vedantu's NCERT Solutions for Class 12 Mathematics Chapter-8 (Application of Integrals). These are created with the goal of providing the best quality step by step solutions for the students. We believe in providing the best possible and easily accessible material for the students.

5. Do I need to practise all the questions provided in NCERT Books for Class 12 Mathematics Chapter-8?

The short answer is yes. A student should practise as many questions given in the NCERT Book for Class 12 Mathematics Chapter-8 (Application of Integrals) as possible. The optimum strategy would be solving all of the questions given in the study material. Doing this on a consistent basis will help students of Class 12 score better marks in the annual examination. That's because Chapter 8 (Application of Integrals) is considered as one of the important Chapters from the examination point of view.