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Class 12 · Mathematics
New Edition Old Edition

Chapter 7: Integrals - Solutions

NCERT Archive

Chapter solutions are on NCERT Archive

Step-by-step solutions for this chapter now live on NCERT Archive, along with the chapter itself. Use the buttons below to open them.

About Chapter 7 (Integrals)

Chapter 7 (Integrals) is chapter 7 of 13 in the new edition of NCERT Class 12 Mathematics, a textbook for Class 12 students at the Senior Secondary stage. This is the new edition, the textbook brought out under the NEP 2020 / NCF-SE 2023 syllabus rollout.

In the book it comes after Chapter 6 (Application of Derivatives) and before Chapter 8 (Application of Integrals), so it helps to be comfortable with the earlier chapters before starting it.

What the solutions on NCERT Archive include

NCERT Archive is our dedicated site for NCERT textbooks and solutions, Class 1 to 12. The solutions page for Chapter 7 (Integrals) there gives chapter-wise answers to the questions of NCERT Class 12 Mathematics, written to follow the order of the textbook, and links back to the chapter itself. Use the buttons above to go to it.

How to study Integrals

  • Read the worked examples before the exercises and copy out each step in your own hand.
  • Attempt every exercise question yourself first; open the solution only to check your method or when you are stuck.
  • Keep a short list of formulas and definitions from the chapter and revise it before tests.
  • Redo the questions you got wrong after a day or two, without looking at the solution.

Frequently Asked Questions

Which book is Chapter 7 (Integrals) of Class 12 Mathematics from?

It is from the new edition of NCERT Class 12 Mathematics. The book has 13 chapters, and this is chapter 7.

Where can I find the solutions for Chapter 7 (Integrals) of Class 12 Mathematics?

On NCERT Archive. Press the "Open Chapter Solutions" button on this page and you will land on the solutions page for this chapter there.

Is this the new edition or the old edition?

This page is for the new edition. If your school still uses the earlier textbook, use the Old Edition switch at the top of the page.

Is it free to use?

Yes. Scholar Donkey and NCERT Archive are free to use and need no login.