NCERT Solutions for Class 12 Maths Exercise 7.1 hapter 7 Integrals – FREE PDF Download
NCERT Solutions for integrals Class 12 exercises 7.1 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 7.1) Exercise 7.1
Find an antiderivative (or integral) of the following functions by the method of inspection in Exercises 1 to 5.
1. 
An anti-derivative of is 
2. 
An anti-derivative of 
is 
3.
An anti-derivative of 
is 
4. (ax+b)2(ax+b)2
An anti-derivative of 
is 
5.
…..(i)
Again 
[Multiplying both sides by 
] ……….(ii)
Adding eq. (i) and (ii), we get
An anti-derivative of 
is 
Evaluate the following integrals in Exercises 6 to 11.
6. 
= 
= 
= 
7.
= 
= 
= 
8.
= 
= 
= 
where 
is the constant of integration.
9.
= 
= 
= 
10.
= ∫{(x−−√)2+(1x√)2−2x−−√1x√}dx∫{(x)2+(1x)2−2x1x}dx
= 
= 
= 
11.
= 
= 
= 
= 
= 
Evaluate the following integrals in Exercises 12 to 16.
12. 
= 
= 
= 
= 
= 
= 
= 
13.
= 
= 
= 
= 
= 
14.
= 
= 
= 
= 
= 
= 
15.
= 
= 
= 
= 
= 
= 
16.
= 
= 
= 
= 
Evaluate the following integrals in Exercises 17 to 20.
17. 
= 
= 
= 
= 
18.
= 
= 
= 
19.
= 
= 
= 
= 
= 
= 
20.
= 
= 
= 
= 
21. Choose the correct answer:
The anti derivative of 
equals.
(A) 
(B) 
(C) 
(D) 
= 
= 
= 
= 
= 
Therefore, option (C) is correct.
22. Choose the correct answer:
If 
such that 
Then 
is:
(A) 
(B) 
(C) 
(D) 
= 
= 
= 
……….(i)
Putting in eq. (i),
Therefore, option (A) is correct.