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NCERT Solutions class 12 Maths 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 =

=

=

=

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 =

=

=

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.

NCERT Solutions class 12 Maths Exercise 7.2 Part 2

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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2 thoughts on “NCERT Solutions class 12 Maths Exercise 7.2 Part 2”

1. Guys plz do not copy que no 21 the solu also contains -x

2. 21 Answer is wrong -x is missing after integeration