NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.6 (Integrals)
NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.6: Academic team of PW uploaded errorless NCERT Solutions for Class 12 Maths Chapter-7-Integrals Exercise 7.6 prepared based on recommendations of CBSE
Krati Saraswat7 Feb, 2024
Share
NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.6 (Integrals)
NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.6 Integrals is prepared by the academic team of Physics Wallah. We have prepared NCERT Solutions for all exercise of Chapter 7. Given below is a step by step solutions to all questions given in the k for NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.6 .NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.6 Overview
NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.6 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 7.6
Solve The Following Questions of NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.6 Integrate the functions in Exercises 1 to 8. Question 1. x sin x Solution : Let I = ∫ x sin x dx Taking x as first function and sin x as second function and integrating by parts, we obtain
Question 2.
x
sin 3
x
Solution :
Let I = ∫
x
sin
3x dx
Taking
x
as first function and sin 3
x
as second function and integrating by parts, we obtain
Question 3.
x
2
e
x
Solution :
Let I = ∫
x
2
e
x
dx
Taking
x
2
as first function and
e
x
as second function and integrating by parts, we obtain
Again integrating by parts, we obtain
Question 4.
x
log
x
Solution :
Let I = ∫
x
log
x dx
Taking log
x
as first function and
x
as second function and integrating by parts, we obtain
Question 5.
x
log 2
x
Question 6.
x
2
log
x
Solution :
Let I = ∫ x
2
log x dx
Taking log x as first function and x
2
as second function and integrating by parts, we obtain
Question 7.
x sin
-1
x
Solution :
Let I = ∫ x sin
-1
x
Taking
sin
-1
x
as first function and
x
as second function and integrating by parts, we obtain
Question 8.
x tan
-1
x
Solution :
Let I = ∫ x tan
-1
x
Taking tan
-1
x as first function and
x
as second function and integrating by parts, we obtain
Integrate the functions in Exercises 9 to 15. Question 9. x cos -1 x Solution : Let I = ∫ x cos -1 x
Taking cos −1 x as first function and x as second function and integrating by parts, we obtain
Question 10.
Solution :
Let I =
∫
.
1 dx
Taking
as first function and 1 as second function and integrating by parts, we obtain
Question 11.
Solution :
Let
Taking cos
−1
x
as first function and
as second function and integrating by parts, we obtain
Question 12.
x sec
2
x
Solution :
Let I = ∫ x sec
2
x dx
Taking
x
as first function and sec
2
x
as second function and integrating by parts, we obtain
Question 13.
tan
-1
x
Solution :
Let I = ∫
tan
-1
x dx
Taking tan
-1
x as first function and 1 as second function and integrating by parts, we obtain
Question 14.
x (log x)
2
Solution :
Let I = ∫ x (log x)
2
dx
Taking (log x)
2
as first function and
x
as second function and integrating by parts, we obtain
Question 15. (x
2
+ 1) log x
Solution :
Integrate the functions in Exercises 16 to 22.
Question 16.
Solution :
Question 17.
Solution :
Question 18.
Solution :
Question 19.
Solution :
Question 20.
Solution :
Question 21. e
2x
sin x
Solution :
Let I = ∫ e
2x
sin x
Integrating by parts, we obtain
Question 22.
Solution :
Choose the correct answer in Exercise 23 and 24.
Question 23.
equals to
Solution :
Let I =
Therefore, option (A) is correct.
Question 24.
∫
equals:
(A) e
x
cos x + C
(B) e
x
sec x + C
(C) e
x
sin x + C
(D) e
x
tan x + C
Solution :
Therefore, option (B) is correct.
NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.6 FAQs
How many exercises are there in Chapter 7 Class 12?
NCERT Solutions for class 12 Maths Chapter 7 Integrals in Hindi and English Medium updated for CBSE session 2023-24. As per the rationalised syllabus and latest NCERT book for CBSE 2023-24, there are only 11 exercises (including miscellaneous) in chapter 7.
What is integral class 12?
Integration is the inverse process of differentiation. Instead of differentiating a function, we are given the derivative of a function and asked to find its primitive, i.e., the original. function. Such a process is called integration or anti differentiation.
Why is integration used?
Integration is basically used to find the areas of the two-dimensional region and computing volumes of three-dimensional objects.
Why is it called integral math?
An integral is a mathematical instance of integration in this sense. The usual meaning of integral in non-mathematical contexts is that an integral is a whole.
Who invented integration?
Greek mathematics, the principles of integration were formulated independently by Isaac Newton and Gottfried Wilhelm Leibniz
🔥 Trending Blogs
Talk to a counsellorHave doubts? Our support team will be happy to assist you!
Join 15 Million students on the app today!
Live & recorded classes available at easeDashboard for progress trackingMillions of practice questions at your fingertips
Free Learning Resources
PW Books
Notes (Class 10-12)
PW Study Materials
Notes (Class 6-9)
Ncert Solutions
Govt Exams
Class 6th to 12th Online Courses
Govt Job Exams Courses
UPSC Coaching
Defence Exam Coaching
Gate Exam Coaching
Other Exams
Know about Physics Wallah
Physics Wallah is an Indian edtech platform that provides accessible & comprehensive learning experiences to students from Class 6th to postgraduate level. We also provide extensive NCERT solutions, sample paper, NEET, JEE Mains, BITSAT previous year papers & more such resources to students. Physics Wallah also caters to over 3.5 million registered students and over 78 lakh+ Youtube subscribers with 4.8 rating on its app.
We Stand Out because
We provide students with intensive courses with India’s qualified & experienced faculties & mentors. PW strives to make the learning experience comprehensive and accessible for students of all sections of society. We believe in empowering every single student who couldn't dream of a good career in engineering and medical field earlier.
Our Key Focus Areas
Physics Wallah's main focus is to make the learning experience as economical as possible for all students. With our affordable courses like Lakshya, Udaan and Arjuna and many others, we have been able to provide a platform for lakhs of aspirants. From providing Chemistry, Maths, Physics formula to giving e-books of eminent authors like RD Sharma, RS Aggarwal and Lakhmir Singh, PW focuses on every single student's need for preparation.
What Makes Us Different
Physics Wallah strives to develop a comprehensive pedagogical structure for students, where they get a state-of-the-art learning experience with study material and resources. Apart from catering students preparing for JEE Mains and NEET, PW also provides study material for each state board like Uttar Pradesh, Bihar, and others
Copyright © 2025 Physicswallah Limited All rights reserved.
