NCERT Solutions for Class 12 Maths Chapter 7

Get 100 percent accurate CBSE NCERT Solutions for Class 12 Maths Chapter 7 (Integrals) solved by expert Maths teachers. We provide step by step solutions for questions given in Class 12 maths text-book as per CBSE Board guidelines from the latest NCERT book for Class 12 maths. The topics and sub-topics in Chapter 7 Integrals 

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

7.6.1 Integral of the type

7.6.2 Integrals of some more types

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. 

We cover all exercises in the chapter given below:- 

EXERCISE 7.1 - 22 Questions with Solutions

EXERCISE 7.2 - 39 Questions with Solutions

EXERCISE 7.3 - 24 Questions with Solutions

EXERCISE 7.4 - 25 Questions with Solutions

EXERCISE 7.5 - 23 Questions with Solutions

EXERCISE 7.6 - 24 Questions with Solutions

EXERCISE 7.7 - 11 Questions with solutions

EXERCISE 7.8 - 6 Questions with Solutions

EXERCISE 7.9 - 22 Questions with Solutions

EXERCISE 7.10 - 10 Questions with Solutions

EXERCISE 7.11 - 21 Questions with Solutions. 

Other than given exercises, you should also practice all the solved examples given in the book to clear your concepts on Integrals. You can also download the free PDF of Chapter 7 Integrals or save the solution images and take the print out to keep it handy for your exam preparation.