NCERT Solutions for Class 12 Maths Chapter 7- Integrals

NCERT Solutions for Class 12 Maths Chapter 7- Integrals

The NCERT Solutions for Class 12 maths chapter 7 - Integrals, is available here. The NCERT maths book of class 12 includes the concept of integrals in chapter 7. In this chapter, students learn about integral calculus (definite and indefinite), their properties and much more. This topic is extremely important for both CBSE board exam and for competitive exams.
The concepts of integrals are given in this chapter in a detailed and easy to understand manner. These class 12 NCERT solutions for integrals are very simple and can help the students in understanding the problem-solving method very easily. Students can reach for these NCERT solutions and download it for free to practice them offline as well. These solved questions make the students understand the method of applying the concepts of Integrals in each problem.


The major concepts of Maths covered in Chapter 7- Integrals of NCERT Solutions for Class 12 include:
  • 7.1 Introduction
  • 7.2 Integration as an Inverse Process of Differentiation
  • 7.2.1 Geometrical interpretation of indefinite integral
  • 7.2.2 Some properties of indefinite integral
  • 7.2.3 Comparison between differentiation and integration
  • 7.3 Methods of Integration
  • 7.3.1 Integration by substitution
  • 7.3.2 Integration using trigonometric identities
  • 7.4 Integrals of Some Particular Functions
  • 7.5 Integration by Partial Fractions
  • 7.6 Integration by Parts
  • 7.7 Definite Integral
  • 7.7.1 Definite integral as the limit of a sum
  • 7.8 Fundamental Theorem of Calculus
  • 7.8.1 Area function
  • 7.8.2 First fundamental theorem of integral calculus
  • 7.8.3 Second fundamental theorem of integral calculus
  • 7.9 Evaluation of Definite Integrals by Substitution
  • 7.10 Some Properties of Definite Integrals
  1. Exercise 7.1 Solutions 22 Questions
  2. Exercise 7.2 Solutions 39 Questions
  3. Exercise 7.3 Solutions 24 Questions
  4. Exercise 7.4 Solutions 25 Questions
  5. Exercise 7.5 Solutions 23 Questions
  6. Exercise 7.6 Solutions 24 Questions
  7. Exercise 7.7 Solutions 11 Questions
  8. Exercise 7.8 Solutions 6 Questions
  9. Exercise 7.9 Solutions 22 Questions
  10. Exercise 7.10 Solutions 10 Questions
  11. Exercise 7.11 Solutions 21 Questions
  12. Miscellaneous Exercise On Chapter 7 Solutions 44 Questions

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