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Solutions 7. Integrals - Exercise 7.1 | Class 12 Mathematics-II - Toppers Study
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Solutions 7. Integrals - Exercise 7.1 | Class 12 Mathematics-II - Toppers Study
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Chapter 7 Mathematics-II class 12
Exercise 7.1 class 12 Mathematics-II Chapter 7. Integrals
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- Solutions 7. Integrals - Exercise 7.1 | Class 12 Mathematics-II - Toppers Study
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7. Integrals
| Exercise 7.1 |
Solutions 7. Integrals - Exercise 7.1 | Class 12 Mathematics-II - Toppers Study
Exersise 7.1
Find an antiderivative (or integral) of the following functions by the method of inspection
Ques.1. 
Ans. 
An anti-derivative of is 
Ques.2. 
Ans. 
An anti-derivative of is 
Ques.3. 
Ans. 
An anti-derivative of is 
Ques4. 
Ans. 
An anti-derivative of 
is 
Ques.5. 
Ans.
…..(i)
Again 
[Multiplying both sides by 
] ……….(ii)
Adding eq. (i) and (ii), we get
An anti-derivative of is 
Ques.6. 
Ans.
= 
= 
= 
Ques.7. 
Ans. = 
= 
= 
Ques.8. 
Ans.
= 
= 
= 
where 
is the constant of integration.
Ques.9. 
Ans.
= 
= 
= 
Ques.10. 
Ans.
= 
= 
= 
= 
Ques11. 
Ans.
= 
= 
= 
= 
= 
Ques.12. 
Ans.
= 
= 
= 
= 
= 
= 
= 
Ques.13. 
Ans. 
= 
= 
= 
= 
= 
Ques14. 
Ans.
= 
= 
= 
= 
= 
= 
Ques.15. 
Ans.
= 
= 
= 
= 
= 
= 
Ques16. 
Ans.
= 
= 
= 
= 
Ques.17. 
Ans.
= 
= 
= 
= 
Ques.18. 
Ans.
= 
= 
= 
Ques.19. 
Ans.
= 
= 
= 
= 
= 
= 
Ques.20. 
Ans.
= 
= 
= 
= 
Ques.21. Choose the correct answer:
The anti derivative of 
equals.
(A) 
(B) 
(C) 
(D) 
Ans. 
= 
= 
= 
= 
= 
hance, option (C) is correct.
Ques.22. Choose the correct answer:
If 
such that 
Then 
is:
(A) 
(B) 
(C) 
(D) 
Ans. 
= 
= 
= 
……….(i)
Putting in eq. (i),
hance, option (A) is correct.
Other Pages of this Chapter: 7. Integrals
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