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CBSE And NCERT Solutions:

# NCERT Solutions for Class 12 Mathematics-II english Medium 7. Integrals

Page 2 of 12

## 7. Integrals

Ques.1.

Ans. Putting

Ans. Putting

Ans. Putting

Ans. Putting

Ans.

Ans.

Ans.

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 =

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 =  =

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.

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## Topic Lists:

##### NCERT Solutions⇒Class 12th ⇒ Mathematics-II ⇒ Chapter 7. Integrals:

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