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Solutions ⇒ Class 12th ⇒ Mathematics-II ⇒ 7. Integrals

Solutions 7. Integrals - Exercise 7.1 | Class 12 Mathematics-II - Toppers Study

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7. Integrals

| Exercise 7.1 |

Solutions 7. Integrals - Exercise 7.1 | Class 12 Mathematics-II - Toppers Study


Exersise 7.1

Find an antiderivative (or integral) of the following functions by the method of inspection 

Ques.1.  

Ans. 

 

  An anti-derivative of  is 

Ques.2. 

Ans. 

 

  An anti-derivative of  is 

Ques.3.  

Ans.  

 

 

 An anti-derivative of  is 

Ques4.  

Ans.  

 

 

 An anti-derivative of  is 

Ques.5.  

Ans. 

  …..(i)

Again 

 

  [Multiplying both sides by ] ……….(ii)

Adding eq. (i) and (ii), we get

 

 

 An anti-derivative of  is 

Ques.6.   

Ans. 

 

Ques.7. 

Ans.  =  =  = 

 

Ques.8.  

Ans. 

 where  is the constant of integration.

Ques.9.  

Ans. 

Ques.10. 

Ans. 

 

Ques11.  

Ans. 

Ques.12. 

Ans. 

Ques.13. 

Ans. 

Ques14.  

Ans. 

 = 

Ques.15.  

Ans. 

Ques16.  

Ans. 

Ques.17.  

Ans. 

Ques.18.  

Ans. 

Ques.19.  

Ans. 

Ques.20.   

Ans. 

Ques.21. Choose the correct answer:

The anti derivative of  equals.

(A)  

(B) 

(C) 

(D) 

Ans. 

hance, option (C) is correct.

Ques.22. Choose the correct answer:

If  such that  Then  is:

(A)  

(B) 

(C) 

(D) 

Ans. 

   ……….(i)

 

 

 

 

Putting  in eq. (i),

hance, option (A) is correct.

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