Exercise 7.2 Part-2
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NCERT Solutions class 12 Maths Integrals
Integrate the functions in Exercise 18 to 26.
18. 
Ans. Let I = 
……….(i)
Putting 
From eq. (i), I = 
= 
= 
19. 
Ans. Let I = 
= 
[Multiplying each term by 
]
Putting 
From eq. (i), I = 
= 
= 
= 
= 
20. 
Ans. Let I = 
= 
……….(i)
Putting 
From eq. (i), I = 
= 
= 
= 
21. 
Ans. 
= 
= 
= 
= 
22. 
Ans. 
= 
= 
23. 
Ans. Let I = 
……….(i)
Putting 
From eq. (i), I = 
= 
= 
24. 
Ans. Let I = 
= 
= 
……….(i)
Putting 
From eq. (i), I = =
= 
25. 
Ans. Let I = 
= 
= 
……….(i)
Putting 
From eq. (i), I = 
= 
= 
= 
= 
26. 
Ans. Let I = 
……….(i)
Putting 
From eq. (i), I = 
= 
= 
=
NCERT Solutions class 12 Maths Exercise 7.2 Part 2
Integrate the functions in Exercise 27 to 37.
27. 
Ans. Let I = 
= 
……….(i)
Putting 
From eq. (i), I = 
= 
= 
= 
= 
28. 
Ans. Let I = 
……….(i)
Putting 
From eq. (i), I = 
= 
= 
= 
= 
= 
29. 
Ans. Let I = 
……….(i)
Putting 
From eq. (i), I =
=
= 
30. 
Ans. Let I = 
= 
……….(i)
Putting 
From eq. (i), I = 
= 
= 
31. 
Ans. Let I = 
= 
……….(i)
Putting
From eq. (i), I = 
=
=
=
= 
32. 
Ans. Let I = 
= 
= 
= 
= 
= 
Adding and subtracting 
in the numerator,
= 
= 
= 
= 
= 
= 
where 
……….(i)
Putting 
I1 = = 
= 
Putting this value in eq. (i), we get required integral,
= 
33. 
Ans. Let I = 
= 
= 
= 
= 
= 
Adding and subtracting 
in the numerator,
= 
= 
= 
= 
= 
= 
34. 
Ans. Let I = 
= 
= 
= 
…..(i)
Putting 
From eq. (i), I = 
=
= 
=
= 
35. 
Ans. Let I = 
……….(i)
Putting 
From eq. (i), I = 
= 
= 
36. 
Ans. Let I = 
……….(i)
Putting 
From eq. (i), I =
= 
= 
37. 
Ans. Let I = 
= 
……….(i)
Putting 
From eq. (i), I = 
= 
= 
NCERT Solutions class 12 Maths Exercise 7.2 Part 2
Choose the correct answer in Exercise 38 and 39.
38. 
equals
(A) 
(B) 
(C) 
(D) 
Ans. Let I = 
……….(i)
Putting 
From eq. (i), I =
=
= 
Therefore, option (D) is correct.
39. 
equals
(A) 
(B) 
(C) 
(D) 
Ans. 
= 
= 
= 
= 
= 
= 
Therefore, option (B) is correct.