# NCERT solution class 12 chapter 1 Integrals exercise 1.1 mathematics part 2

## EXERCISE 1.1

#### 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)