Exercise 7.3

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NCERT Solutions class 12 Maths Integrals

 Find the integrals of the following functions in Exercises 1 to 9.

1.

Ans.

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2.

Ans.   =

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3.  

Ans.

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4.

Ans.

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5.

Ans.

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6.  

Ans.

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7.

Ans.

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8.

Ans.

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9.  

Ans.

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Find the integrals of the following functions in Exercises 10 to 18.

10.  

Ans.

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11.

Ans.

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12.  

Ans.

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13.  

Ans.

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14.

Ans. Let I =

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=  …..(i)

Putting

 From eq. (i), I =

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15.  

Ans. Let I =

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Putting

 From eq. (i),

I =

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16.  

Ans.

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= ……….(i)

Putting

 From eq. (i),

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17.  

Ans.

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18.  

Ans.

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Integrate the following functions in Exercises 19 to 22.

19.

Ans. Let I =  ……….(i)

Here  is a negative even integer.

Therefore, multiplying both numerator and denominator by

I =

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=  ……….(ii)

Putting

 From eq. (ii),

I =

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20.  

Ans. Let I =

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=  ……….(i)

Putting

 From eq. (i),

I =

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21.  

Ans.

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22.  

Ans. Let I =  ……….(i)

Multiplying and dividing by  as ,

I =

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NCERT Solutions class 12 Maths Exercise 7.3

Choose the correct answer in Exercise 23 and 24.

23.  is equal to:

(A)  

(B)  

(C)  

(D)

Ans.

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Therefore, option (A) is correct.

24.  is equal to:

(A)  

(B)

(C)  

(D)

Ans. Let I =  ……….(i)

Putting

 From eq. (i),

I =

=

=

=

Therefore, option (B) is correct.