# 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 6:   #### Question 7:   #### Question 8:   #### Question 9:   #### Question 10:   #### Question 11:   #### Question 12:   #### Question 13:  On dividing, we obtain #### Question 14:   #### Question 15:   #### Question 16:   #### Question 17:   #### Question 18:   #### Question 19:   #### Question 20:   #### 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.

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