# NCERT Solutions Class 12 Mathematics Chapter 7 Integrals

## Chapter 7 Integrals Class 12 Mathematics NCERT Solutions

Class 12 Mathematics students should refer to the following NCERT questions with answers for Chapter 7 Integrals in Class 12. These NCERT Solutions with answers for Class 12 Mathematics will come in exams and help you to score good marks

### Chapter 7 Integrals NCERT Solutions Class 12 Mathematics

Exercise 7.1

1. Find an anti derivative (or integral) of the following functions by the method of inspection.
sin 2x .

The anti derivative of sin 2x is a function of x whose derivative is sin 2x.
It is known that,

Therefore, the anti derivative of sin2x is -1/2 cos 2x

2. Find an anti derivative (or integral) of the following functions by the method of inspection.
cos 3x .

The anti derivative of cos 3x is a function of x whose derivative is cos 3x.
It is known that,

3. Find an anti derivative (or integral) of the following functions by the method of inspection.
e2x.

The anti derivative of e2is the function of x whose derivative is e2x.
It is known that,

4. Find an anti derivative (or integral) of the following functions by the method of inspection.
(ax + b)2

The anti derivative of (ax + b)2 is the function of x whose derivative is (ax + b)2 .
It is known that,

5. Find an anti derivative (or integral) of the following functions by the method of inspection
sin 2x – 4 e3x

The anti derivative of (sin2x - 4e3x) is the function of x whose derivative is (sin 2x - 4e3x).
It is known that,

6. Find the following integrals ∫(4 e3x + 1) dx

7. Find the following integrals ∫[x2 (1 - 1/x2 ) dx

8. Find the following integrals ∫(ax + bx + c) dx .

9. Find the following integrals ∫(2x2 + ex ) dx .

10. Find the following integrals ∫ (√x - 1/√x)2 dx

11. Find the following integrals ∫[(x3 + 5x2 - 4)/x2 ] dx

 NCERT Solutions Class 12 Mathematics Chapter 1 Relations and Functions
 NCERT Solutions Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions
 NCERT Solutions Class 12 Mathematics Chapter 3 Matrices
 NCERT Solutions Class 12 Mathematics Chapter 4 Determinants
 NCERT Solutions Class 12 Mathematics Chapter 5 Continuity and Differentiability
 NCERT Solutions Class 12 Mathematics Chapter 6 Application of Derivatives
 NCERT Solutions Class 12 Mathematics Chapter 7 Integrals
 NCERT Solutions Class 12 Mathematics Chapter 8 Application of Integrals
 NCERT Solutions Class 12 Mathematics Chapter 9 Differential Equations
 NCERT Solutions Class 12 Mathematics Chapter 10 Vector Algebra
 NCERT Solutions Class 12 Mathematics Chapter 11 Three Dimensional Geometry
 NCERT Solutions Class 12 Mathematics Chapter 12 Linear Programming
 NCERT Solutions Class 12 Mathematics Chapter 13 Probability

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### Chapter 7 Integrals Class 12 Mathematics NCERT Solutions

The Class 12 Mathematics NCERT Solutions Chapter 7 Integrals are designed in a way that will help to improve the overall understanding of students. The answers to each question in Chapter 7 Integrals of Mathematics Class 12 has been designed based on the latest syllabus released for the current year. We have also provided detailed explanations for all difficult topics in Chapter 7 Integrals Class 12 chapter of Mathematics so that it can be easier for students to understand all answers.

#### NCERT Solutions Chapter 7 Integrals Class 12 Mathematics

Class 12 Mathematics NCERT Solutions Chapter 7 Integrals is a really good source using which the students can get more marks in exams. The same questions will be coming in your Class 12 Mathematics exam. Learn the Chapter 7 Integrals questions and answers daily to get a higher score. Chapter 7 Integrals of your Mathematics textbook has a lot of questions at the end of chapter to test the students understanding of the concepts taught in the chapter. Students have to solve the questions and refer to the step-by-step solutions provided by Mathematics teachers on studiestoday to get better problem-solving skills.

#### Chapter 7 Integrals Class 12 NCERT Solution Mathematics

These solutions of Chapter 7 Integrals NCERT Questions given in your textbook for Class 12 Mathematics have been designed to help students understand the difficult topics of Mathematics in an easy manner. These will also help to build a strong foundation in the Mathematics. There is a combination of theoretical and practical questions relating to all chapters in Mathematics to check the overall learning of the students of Class 12.

#### Class 12 NCERT Solution Mathematics Chapter 7 Integrals

NCERT Solutions Class 12 Mathematics Chapter 7 Integrals detailed answers are given with the objective of helping students compare their answers with the example. NCERT solutions for Class 12 Mathematics provide a strong foundation for every chapter. They ensure a smooth and easy knowledge of Revision notes for Class 12 Mathematics. As suggested by the HRD ministry, they will perform a major role in JEE. Students can easily download these solutions and use them to prepare for upcoming exams and also go through the Question Papers for Class 12 Mathematics to clarify all doubts

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