NCERT Solutions for Class 12 Maths Chapter 7 Integrals

Created with Sketch.

NCERT Solutions for Class 12 Maths Chapter 7 Integrals

The topics and sub-topics included in the Integrals chapter are the following:

Section NameTopic Name
7Integrals
7.1Introduction
7.2Integration as an Inverse Process of Differentiation
7.3Methods of Integration
7.4Integrals of some Particular Functions
7.5Integration by Partial Fractions
7.6Integration by Parts
7.7Definite Integral
7.8Fundamental Theorem of Calculus
7.9Evaluation of Definite Integrals by Substitution
7.10Some Properties of Definite Integrals

NCERT Solutions for Class 12 Maths Chapter 7  Integrals: Engineering aspirants and students appearing for CBSE Class 12 board exams must take the NCERT Mathematics textbooks seriously and finish them from top to bottom. They must also go through the NCERT solutions for Class 12 Maths and Class 11 Maths to have a better understanding of the various concepts. In this article, we will provide you with NCERT Solutions for Class 12 Maths Chapter 7 – Integrals which have been designed by the best teachers in India.

Class 12 Maths Chapter 7 NCERT Solutions Integrals

NCERT Solutions for Class 12 Maths Chapter 7 – Integrals contains step-by-step and detailed solutions for every question.

  1. Introduction
  2. Integration as an Inverse Process of Differentiation
  3. Geometrical interpretation of indefinite integral
  4. Some properties of indefinite integral
  5. Comparison between differentiation and integration
  6. Methods of Integration
  7. Integration by substitution
  8. Integration using trigonometric identities
  9. Integrals of Some Particular Functions
  10. Integration by Partial Fractions
  11. Integration by Parts
  12. Integral of the type
  13. Integrals of some more types
  14. Definite Integral
  15. Definite integral as the limit of a sum
  16. Fundamental Theorem of Calculus
  17. Area function
  18. First fundamental theorem of integral calculus
  19. Second fundamental theorem of integral calculus
  20. Evaluation of Definite Integrals by Substitution
  21. Some Properties of Definite Integrals

Question 1.
sin 2x
Solution:
Class 12 Integrals NCERT Solutions Ex 7.1 Q 1

Question 6.
\int { \left( { 4e }^{ 3x }+1 \right) dx }

Choose the correct answer in Exercises 21 and 22.
Question 21.
The antiderivative \left( \sqrt { x } +\frac { 1 }{ \sqrt { x } } \right)

Leave a Reply

Your email address will not be published. Required fields are marked *

This is a free online math calculator together with a variety of other free math calculatorsMaths calculators
+