Our ncert solutions for Solutions 7. Integrals - Exercise 7.2 | Class 12 Mathematics-II - Toppers Study is the best material for English Medium students cbse board and other state boards students.
Solutions 7. Integrals - Exercise 7.2 | Class 12 Mathematics-II - Toppers Study
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Solutions 7. Integrals - Exercise 7.2 | Class 12 Mathematics-II - Toppers Study
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Chapter 7 Mathematics-II class 12
Exercise 7.2 class 12 Mathematics-II Chapter 7. Integrals
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- Solutions 7. Integrals - Exercise 7.2 | Class 12 Mathematics-II - Toppers Study
- Class 12 Ncert Solutions
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- Chapter 7. Integrals Exercise 7.2 Class 12
7. Integrals
| Exercise 7.2 |
Solutions 7. Integrals - Exercise 7.2 | Class 12 Mathematics-II - Toppers Study
Exercise 7.2
Integrate the functions in Exercise 1 to 37
Ques.1. 
Ans. Putting 
= 
= 
= 
Ques.2. 
Ans. Putting 
= 
= 
= 
Ques.3. 
Ans. Putting 
= 
=
= 
Ques.4. 
Ans. Putting 
= 
= 
= 
= 
= 
Ques.5. 
Ans. 
= 
= 
= 
= 
= 
Ques.6. 
Ans. 
= 
= 
= 
= 
Ques.7. 
Ans. 
= 
= 
= 
= 
= 
= 
= 
Ques.8. 
Ans. Let I = 
= 
……….(i)
Putting 
From eq. (i),
I = 
= 
= 
= 
= 
Ques9. 
Ans. Let I = 
= 
= 
…..(i)
Putting 
From eq. (i), I = 
= 
= 
= 
= 
Ques.10. 
Ans. Let I = 
……….(i)
Putting 
From eq. (i),
I = 
= 
= 
= 
= 
Ques.11. 
Ans. 
= 
= 
= 
= 
= 
= 
= 
= 
= 
Ques.12. 
Ans. Let I = 
= 
= 
……….(i)
Putting 
From eq. (i), I = 
= 
= 
= 
= 
= 
= 
Ques.13. 
Ans. Let I = 
= 
……….(i)
Putting 
From eq. (i), I = 
= 
= 
= 
Ques.14. 
Ans. Let I = 
= 
……….(i)
Putting
From eq. (i), I = 
= 
= 
= 
Ques.15. 
Ans. Let I = 
= 
……….(i)
Putting 
From eq. (i), I = 
= 
= 
= 
Ques.16. 
Ans. 
= 
= 
Ques.17. 
Ans. Let I = 
= 
……….(i
Putting 
From eq. (i), I = 
= 
= 
= 
= 
Ques.18. 
Ans. Let I = 
……….(i)
Putting 
From eq. (i), I = 
= 
= 
Ques.19. 
Ans. Let I = 
= 
[Multiplying each term by 
]
Putting 
From eq. (i), I = 
= 
= 
= 
= 
Ques.20. 
Ans. Let I = 
= 
……….(i)
Putting 
From eq. (i), I = 
= 
= 
= 
Ques.21. 
Ans. 
= 
= 
= 
= 
Ques.22. 
Ans. 
= 
= 
Ques.23. 
Ans. Let I = 
……….(i)
Putting 
From eq. (i), I = 
= 
= 
Ques.24. 
Ans. Let I = 
= 
= 
……….(i)
Putting 
From eq. (i), I = =
= 
Ques.25. 
Ans. Let I = 
= 
= 
……….(i)
Putting 
From eq. (i), I = 
= 
= 
= 
= 
Ques.26. 
Ans. Let I = 
……….(i)
Putting
From eq. (i), I = 
= 
= 
=
Ques.27. 
Ans. Let I = 
= 
……….(i)
Putting 
From eq. (i), I = 
= 
= 
= 
= 
Ques.28. 
Ans. Let I = 
……….(i)
Putting 
From eq. (i), I = 
= 
= 
= 
= 
= 
Ques.29. 
Ans. Let I = 
……….(i)
Putting 
From eq. (i), I =
=
Ques.30. 
= 
Ans. Let I = 
= 
……….(i)
Putting 
From eq. (i), I = 
= 
= 
Ques.31. 
Ans. Let I = 
= 
……….(i)
Putting
From eq. (i), I = 
=
=
=
= 
Ques.32. 
Ans. Let I = 
= 
= 
= 
= 
= 
Adding and subtracting 
in the numerator,
= 
= 
= 
= 
= 
= 
where 
……….(i)
Putting 
I1 = = 
= 
Putting this value in eq. (i)
= 
Ques.33. 
Ans. Let I = 
= 
= 
= 
= 
= 
Adding and subtracting 
in the numerator,
= 
= 
= 
= 
= 
= 
Ques34. 
Ans. Let I = 
= 
= 
= 
…..(i)
Putting 
From eq. (i), I = 
=
= 
=
= 
Ques.35. 
Ans. Let I = 
……….(i)
Putting
From eq. (i), I =
= 
= 
Ques.36. 
Ans. Let I = 
……….(i)
Putting 
From eq. (i), I =
=
= 
Ques.37. 
Ans. Let I = 
= 
……….(i)
Putting 
From eq. (i), I = 
= 
= 
Choose the correct answer in Exercise 38 and 39.
Ques38. 
equals
(A) 
(B) 
(C) 
(D) 
Ans. Let I = 
……….(i)
Putting 
From eq. (i), I =
=
= 
hance, option (D) is correct.
Ques.39. 
equals
(A) 
(B) 
(C) 
(D) 
Ans. 
= 
= 
= 
= 
= 
= 
hance, option (B) is correct.
Other Pages of this Chapter: 7. Integrals
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