NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.4
NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.4 contains all the questions with detailed solutions. Students are advised to solve these questions for better understanding of the concepts in exercise 7.4.
Krati Saraswat6 Feb, 2024
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NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.4
NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.4 Integrals is prepared by the academic team of Physics Wallah. We have prepared NCERT Solutions for all exercise of chapter-7. Given below is step by step solutions of all questions given in the NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.4.NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.4 Overview
NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.4 covers these important topics. Students are encouraged to review each topic thoroughly in order to fully understand the concepts taught in the chapter and make optimal use of the provided solutions. These solutions are the outcome of the dedicated effort that the Physics Wallah teachers have been doing to aid students in understanding the ideas covered in this chapter. After going over and rehearsing these responses, the goal is for students to easily score outstanding exam results.NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.4
Solve The Following Questions of NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.4 Integrate the following functions in Exercises 1 to 9. Question 1.
Solution :
Let
x
3
=
t
∴ 3
x
2
dx
=
dt
Question 2.
Solution :
Let 2
x
=
t
∴ 2
dx
=
dt
Question 3.
Solution :
Let 2 −
x
=
t
⇒ −
dx
=
dt
Question 4.
Solution :
Let 5
x
=
t
∴ 5
dx
=
dt
Question 5.
Solution :
Question 6.
Solution :
Let
x
3
=
t
∴ 3
x
2
dx
=
dt
Question 7.
Solution :
Question 8.
Solution :
Let
x
3
=
t
∴ 3
x
2
dx
=
dt
Question 9.
Solution :
Let tan
x
=
t
∴ sec
2
x
dx
=
dt
Integrate the following functions in Exercises 10 to 18.
Question 10.
Solution :
Question 11.
Solution :
Question 12 .
Solution :
Question 13.
Solution :
Question 14.
Solution :
Question 15.
Solution :
Question 16.
Solution :
Question 17.
Solution :
Question 18.
Solution :
Integrate the following functions in Exercises 19 to 23.
Question 19.
Solution :
Question 20.
Solution :
Question 21.
Solution :
Using equations (2) and (3) in (1), we obtain
Question 22.
Solution :
Question 23.
Solution :
Choose the correct answer in Exercise 24 and 25.
Question 24. equals
A. x tan −1 ( x + 1) + C
B. tan − 1 ( x + 1) + C
C. ( x + 1) tan −1 x + C
D. tan −1 x + C
Solution : Therefore, option (B) is correct.
Question 25. equals
Solution :
Therefore, option (B) is correct.
NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.4 FAQs
What does Exercise 7.4 cover in NCERT Solutions for Class 12 Maths Chapter 7?
Exercise 7.4 in Chapter 7 of NCERT Solutions for Class 12 Maths focuses on solving integrals using the method of substitution.
How can Exercise 7.4 help students preparing for Class 12 Maths exams?
Exercise 7.4 provides practice problems that help the concept of integration by substitution, a fundamental technique in calculus. Solving these problems enhances students' understanding and proficiency in integration.
Are the problems in Exercise 7.4 of NCERT Solutions for Class 12 Maths challenging?
The difficulty level of Exercise 7.4 problems varies, but they are designed to gradually increase in complexity.
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