Exercise 7.1 Class 12th Ncert Solutions
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Download NCERT solutions for Integrals as PDF
NCERT Solutions class 12 Maths Integrals
Find an antiderivative (or integral) of the following functions by the method of inspection in Exercises 1 to 5.
1.
Ans. 
An anti-derivative of is 
2. 
Ans. 
An anti-derivative of is 
3. 
Ans. 
An anti-derivative of is 
4. 
Ans. 
An anti-derivative of 
is 
5. 
Ans.
…..(i)
Again 
[Multiplying both sides by 
] ……….(ii)
Adding eq. (i) and (ii), we get
An anti-derivative of is 
Evaluate the following integrals in Exercises 6 to 11.
6.
Ans.
= 
= 
= 
7. 
Ans. = 
= 
= 
8. 
Ans.
= 
= 
= 
where 
is the constant of integration.
9. 
Ans.
= 
= 
= 
10. 
Ans.
= 
= 
= 
= 
11. 
Ans.
= 
= 
= 
= 
= 
Evaluate the following integrals in Exercises 12 to 16.
12. 
Ans.
= 
= 
= 
= 
= 
= 
= 
13. 
Ans. 
= 
= 
= 
= 
= 
14. 
Ans.
= 
= 
= 
= 
= 
= 
15. 
Ans.
= 
= 
= 
= 
= 
= 
16. 
Ans.
= 
= 
= 
= 
NCERT Solutions class 12 Maths Exercise 7.1
Evaluate the following integrals in Exercises 17 to 20.
17. 
Ans.
= 
= 
= 
= 
18. 
Ans.
= 
= 
= 
19. 
Ans.
= 
= 
= 
= 
= 
= 
20. 
Ans.
= 
= 
= 
= 
NCERT Solutions class 12 Maths Exercise 7.1
21. Choose the correct answer:
The anti derivative of 
equals.
(A) 
(B) 
(C) 
(D) 
Ans. 
= 
= 
= 
= 
= 
Therefore, option (C) is correct.
NCERT Solutions class 12 Maths Exercise 7.1
22. Choose the correct answer:
If 
such that 
Then 
is:
(A) 
(B) 
(C) 
(D) 
Ans. 
= 
= 
= 
……….(i)
Putting in eq. (i),
Therefore, option (A) is correct.
NCERT Solutions class 12 Maths Exercise 7.1
NCERT Solutions Class 12 Maths PDF (Download) Free from myCBSEguide app and myCBSEguide website. Ncert solution class 12 Maths includes text book solutions from both part 1 and part 2. NCERT Solutions for CBSE Class 12 Maths have total 13 chapters. 12 Maths NCERT Solutions in PDF for free Download on our website. Ncert Maths class 12 solutions PDF and Maths ncert class 12 PDF solutions with latest modifications and as per the latest CBSE syllabus are only available in myCBSEguide
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Exercise 7.1 Class 12th Ncert Solutions
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