NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.3 (Integrals)
NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.3 contains all the questions with detailed solutions. Students are advised to solve these questions for better understanding of the concepts in exercise 7.3.
Krati Saraswat6 Feb, 2024
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NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.3 (Integrals)
NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.3 Integrals is prepared by academic team of Physics Wallah. We have prepared NCERT Solutions for all exercise of Chapter 7. Given below is the step by step solutions of all questions given in the NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.3.NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.3 (Integrals) Overview
NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.3 addresses these significant subjects. In order to fully comprehend the concepts presented in the chapter and make effective use of the provided solutions, it is recommended that students go over each topic in great detail. The intention is for students to effortlessly achieve excellent exam scores after reviewing and practicing these responses.NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.3
Solve The Following Questions of NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.3: Find the integrals of the following functions in Exercises 1 to 9. Question 1. sin 2 (2x + 5) Solution : Question 2. sin 3x cos4x
Solution :
Question 3. cos 2
x
cos 4
x
cos 6
x
Solution :
Question 4.
sin
3
(2
x
+ 1)
Solution :
Question 5.
sin
3
x
cos
3
x
Solution :
Question 6. sin
x
sin 2
x
sin 3
x
Solution :
Question 7.
sin 4
x
sin 8
x
Solution :
It is known that,
sin A . sin B = 12cosA-B-cosA+B
∴∫sin4x sin8x dx=∫12cos4x-8x-cos4x+8xdx
=12∫cos-4x-cos12xdx
=12∫cos4x-cos12xdx
=12sin4x4-sin12x12+C
Question 8.
Solution :
Question 9.
Solution :
Find the integrals of the following functions in Exercises 10 to 18.
Question 10. sin
4
x
Solution :
Question 11. cos
4
2
x
Solution :
Question 12.
Solution :
Question 13.
Solution :
Question 14.
Solution :
Question 15. tan
3
2x sec2x
Solution :
Question 16. tan
4
x
Solution :
Question 17.
Solution :
Question 18.
Solution :
Integrate the following functions in Exercises 19 to 22.
Question 19.
Solution :
Question 20.
Solution :
Question 21. sin
−1
(cos
x
)
Solution :
Question 22.
Solution :
Choose the correct answer in Exercise 23 and 24.
Question 23.is equal to:
A. tan x + cot x + C
B. tan x + cosec x + C
C. − tan x + cot x + C
D. tan x + sec x + C
Solution :
Therefore, option (A) is correct.
Question 24. is equal to:
A. − cot ( e x x ) + C
B. tan ( xe x ) + C
C. tan ( e x ) + C
D. cot ( e x ) + C
Solution : Let I =
Let
e
x
x
=
t
Therefore, option (B) is correct.
NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.3 FAQs
What is the meaning of integrals in NCERT Solutions for Class 12 Maths Chapter 7?
The area under a curve is often referred to as integral in Calculus. It can be represented on a graph as a mathematical function.
Is Chapter 7 of NCERT Solutions for Class 12 Maths difficult to understand?
No, Chapter 7 of NCERT Solutions for Class 12 Maths is not difficult to understand. In fact, it's considered one of the more engaging topics in Class 12, with concepts that extend into higher levels of education. A solid grasp of integral formulas greatly simplifies solving basic integration problems. Understanding derivatives is essential for comprehending integral calculus concepts seamlessly, without encountering any major difficulties.
Where can I download the NCERT Solutions for Class 12 Maths Chapter 7 PDF online?
You can find the NCERT Solutions for Class 12 Maths Chapter 7 on Physics Wallah. The solutions are prepared by highly experienced faculty having vast conceptual knowledge. These are considered to be one of the best solutions available online. All the problems from the NCERT textbook are solved step-wise, based on the latest syllabus for the academic year 2023-24 and the exam pattern designed by the CBSE board.
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