## NCERT Solutions for Class 12 Maths Chapter 7 – Integrals Ex 7.1

#### Question 1:

sin 2x

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

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

The anti derivative of e2is the function of x whose derivative is e2x.
It is known that,
Therefore, the anti derivative of .

#### Question 4:

The anti derivative of
is the function of whose derivative is .
It is known that,
Therefore, the anti derivative of .

#### Question 5:

The anti derivative of  is the function of x whose derivative is .
It is known that,
Therefore, the anti derivative of  is .

#### Question 13:

On dividing, we obtain

#### Question 21:

The anti derivative of equals
(A)  (B)
(C)  (D)

Hence, the correct answer is C.

#### Question 22:

If such that f(2) = 0, then f(x) is
(A)  (B)
(C)  (D)

It is given that,
∴Anti derivative of
Also,
Hence, the correct answer is A.

Courtesy : CBSE