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Solutions 7. Integrals - Exercise 7.3 | Class 12 Mathematics-II - Toppers Study
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Solutions 7. Integrals - Exercise 7.3 | Class 12 Mathematics-II - Toppers Study
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Chapter 7 Mathematics-II class 12
Exercise 7.3 class 12 Mathematics-II Chapter 7. Integrals
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- Solutions 7. Integrals - Exercise 7.3 | Class 12 Mathematics-II - Toppers Study
- Class 12 Ncert Solutions
- Solution Chapter 7. Integrals Class 12
- Solutions Class 12
- Chapter 7. Integrals Exercise 7.3 Class 12
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7. Integrals
| Exercise 7.3 |
Solutions 7. Integrals - Exercise 7.3 | Class 12 Mathematics-II - Toppers Study
Exersice 7.3
Find the integrals of the following functions in Exercises 1 to 9.
Ques.1. 
Ans. 
= 
= 
= 
= 
= 
Ques.2. 
Ans. 
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Ques.3. 
Ans. 
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Ques.4. 
Ans. 
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Ques.5. 
Ans. 
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Ques.6. 
Ans. 
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Ques.7. 
Ans. 
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Ques.8. 
Ans. 
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Ques.9. 
Ans. 
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Find the integrals of the following functions in Exercises 10 to 18.
Ques.10. 
Ans. 
= 
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Ques.11. 
Ans. 
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Ques12. 
Ans. 
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Ques.13. 
Ans. 
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Ques.14. 
Ans. Let I = 
= 
= 
…..(i)
Putting 
From eq. (i), I = 
= 
= 
= 
= 
Ques.15. 
Ans. Let I = 
= 
= 
= 
Putting 
From eq. (i),
I = 
= 
= 
= 
= 
Ques.16. 
Ans. 
= 
= 
= 
= 
……….(i)
Putting 
From eq. (i),
= 
= 
= 
Ques.17. 
Ans. 
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= 
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= 
Ques.18. 
Ans. 
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Integrate the following functions in Exercises 19 to 22.
Ques.19. 
Ans. Let I = 
……….(i)
Here 
is a negative even integer.
Therefore, multiplying both numerator and denominator by 
I = 
= 
= 
= 
= 
= 
……….(ii)
Putting 
From eq. (ii),
I = 
= 
= 
= 
= 
= 
Ques.20. 
Ans. Let I = 
= 
= 
= 
……….(i)
Putting
From eq. (i),
I = 
= 
= 
Ques.21. 
Ans. 
= 
= 
= 
= 
= 
Ques.22. 
Ans. Let I = 
……….(i)
Multiplying and dividing by 
as 
,
I = 
= 
= 
= 
= 
= 
= 
Choose the correct answer in Exercise 23 and 24.
Ques.23. 
is equal to:
(A) 
(B) 
(C) 
(D) 
Ans.
= 
= 
= 
= 
= 
=
hance, option (A) is correct.
Ques.24. 
is equal to:
(A) 
(B) 
(C) 
(D) 
Ans. Let I = 
……….(i)
Putting 
From eq. (i),
I = 
= 
= 
= 
hance, option (B) is correct.
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