NCERT Solutions class 12 Maths Exercise 7.7 (Ex 7.7) Chapter 7 Integrals


NCERT Solutions for Class 12 Maths Exercise 7.7 hapter 7 Integrals – FREE PDF Download

NCERT Solutions for integrals Class 12 exercises 7.7 are accessible in PDF format which is available at CoolGyan’s online learning portal. The solutions to this particular exercise from chapter 7 Integrals have been prepared by our experts who have years of experience in this field. Students can find, well-explained solutions to maths problems at CoolGyan’s online learning portal. All the solutions are provided in a way that will help you in understanding the concept effectively. You can download them in PDF format for free.

NCERT Solutions for Class 12 Maths Chapter 7 Integrals (Ex 7.7) Exercise 7.7



Integrate the functions in Exercises 1 to 9.

1.     

Ans. 


2.    

Ans. 

=14sin12x+x214x2−−−−−−√+c=14sin−12x+x21−4×2+c


3.  

Ans. 


4.    

Ans. 

=(x+2)2(3–√)2−−−−−−−−−−−−−√dx=∫(x+2)2−(3)2dx

=(x+22)(x+2)2(3–√)2−−−−−−−−−−−−−√(3)22log|x+2+(x+2)2(3–√)2−−−−−−−−−−−−−√|+c=(x+22)(x+2)2−(3)2−(3)22log|x+2+(x+2)2−(3)2|+c


5.    

Ans. 


6.  

Ans. 

=(x+2)2(3)2−−−−−−−−−−−−√dx=∫(x+2)2−(3)2dx

=(x+22)(x+2)2(3)2−−−−−−−−−−−−√(3)22log|x+2+(x+2)2(3)2−−−−−−−−−−−−√|+c=(x+22)(x+2)2−(3)2−(3)22log|x+2+(x+2)2−(3)2|+c


7.    

Ans. 


8.    

Ans. 


9.  

Ans. 

=


Choose the correct answer in Exercise 10 to 11.

10.  is equal to:

(A)  

(B) 

(C) 

(D) 

Ans. 

Therefore, option (A) is correct.


11.

Ans. 

Therefore, option (D) is correct.