NCERT Solutions for Class 12 Maths Chapter 7 – Integrals Ex 7.1
Page No 299:
Question 1:
sin 2x
Answer:
The anti derivative of sin 2x is a function of x whose derivative is sin 2x.
It is known that,
Therefore, the anti derivative of
Question 2:
Cos 3x
Answer:
The anti derivative of cos 3x is a function of x whose derivative is cos 3x.
It is known that,
Therefore, the anti derivative of 
.
.Question 3:
e2x
Answer:
The anti derivative of e2x is the function of x whose derivative is e2x.
It is known that,
Therefore, the anti derivative of 
.
.Question 4:
Answer:
The anti derivative of
is the function of x whose derivative is .
It is known that,
Therefore, the anti derivative of 
.
.Question 5:
Answer:
The anti derivative of 
is the function of x whose derivative is .
is the function of x whose derivative is .
It is known that,
Therefore, the anti derivative of is 
.
is .Question 6:
Answer:
Question 7:
Answer:
Question 8:
Answer:
Question 9:
Answer:
Question 10:
Answer:
Question 11:
Answer:
Question 12:
Answer:
Question 13:
Answer:
On dividing, we obtain
Question 14:
Answer:
Question 15:
Answer:
Question 16:
Answer:
Question 17:
Answer:
Question 18:
Answer:
Question 19:
Answer:
Question 20:
Answer:
Question 21:
The anti derivative of 
equals
equals
(A) 
(B) 
(B)
(C) 
(D) 
(D) 
Answer:
Hence, the correct answer is C.
Question 22:
If 
such that f(2) = 0, then f(x) is
such that f(2) = 0, then f(x) is
(A) 
(B) 
(B)
(C) 
(D) 
(D) Answer:
It is given that,
∴Anti derivative of 
∴
Also,
Hence, the correct answer is A.
