Study Materials: ncert solutions

Our ncert solutions for Solutions 7. Integrals - Exercise 7.9 | Class 12 Mathematics-II - Toppers Study is the best material for English Medium students cbse board and other state boards students.

 

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

Solutions 7. Integrals - Exercise 7.9 | Class 12 Mathematics-II - Toppers Study

Topper Study classes prepares ncert solutions on practical base problems and comes out with the best result that helps the students and teachers as well as tutors and so many ecademic coaching classes that they need in practical life. Our ncert solutions for Solutions 7. Integrals - Exercise 7.9 | Class 12 Mathematics-II - Toppers Study is the best material for English Medium students cbse board and other state boards students.

7. Integrals

| Exercise 7.9 |

Solutions 7. Integrals - Exercise 7.9 | Class 12 Mathematics-II - Toppers Study


Exercise - 7.9

Evaluate the definite integrals in Exercises 1 to 20

Ques.1.  

Ans. 

 

= 2

 

Ques.2. 

Ans. 

 

Ques.3.  

Ans. 

 = 

 

Ques.4. 

Ans. 

 = 

 

Ques.5. 

Ans. 

 = 0

 

Ques.6.   

Ans. 

 = 

 

Ques.7. 

Ans. 

 

Ques.8. 

Ans. 

 

Ques.9. 

Ans. 

 = 

 

Ques.10. 

Ans. 

 = 

 

Ques.11.  

Ans.  = 

 

Ques.12. 

Ans. 

 

Ques.13. 

Ans.  = 

 

Ques.14. 

Ans. 

 

Ques.15. 

Ans. 

First we evaluate  =      ……….(i)

Putting 

 

 

  From eq. (i),  = 

  = 

 

Ques.16. 

Ans. 

 (On dividing)

   where I = 

          ……….(i)

Now, I =        ……….(ii)

Let          ……….(iii)

  

  

Comparing coefficients of      A + B = –20    ……….(iv)

Comparing constants     3A + B = –15   ……….(v)

On solving eq. (iv) and (v), we get   A =  B = 

Putting these values in eq. (iii),

 I = 

Putting this value of I in eq. (i),

 

Ques.17. 

Ans. 

 

Ques.18  

Ans. 

 

 

Ques.19.  

Ans. 

 

Ques.20. 

Ans. 

[Applying Product Rule on first definite integral]

 

Choose the correct answer in Exercises 21 and 22.

Ques.21.  equals:

(A) 

(B) 

(C) 

(D)  

Ans. 

 = 

hance, option (D) is correct.

 

Ques.22.  equals:

(A) 

(B) 

(C) 

(D)  

Ans. 

hance, option (C) is correct.

Select Your CBSE Classes

Important Study materials for classes 06, 07, 08,09,10, 11 and 12. Like CBSE Notes, Notes for Science, Notes for maths, Notes for Social Science, Notes for Accountancy, Notes for Economics, Notes for political Science, Noes for History, Notes For Bussiness Study, Physical Educations, Sample Papers, Test Papers, Mock Test Papers, Support Materials and Books.