## EXERCISE 1.1

#### Page No 299:

#### Question 1:

sin 2*x*

#### Answer:

The anti derivative of sin 2*x* is a function of *x* whose derivative is sin 2*x*.

It is known that,

Therefore, the anti derivative of

#### Question 2:

Cos 3*x*

#### Answer:

The anti derivative of cos 3*x* is a function of *x* whose derivative is cos 3*x*.

It is known that,

Therefore, the anti derivative of .

#### Question 3:

*e*^{2}^{x}

#### Answer:

The anti derivative of *e*^{2}^{x }is the function of* x* whose derivative is *e*^{2}^{x}.

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 .

It is known that,

Therefore, the anti derivative of 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

**(A) ****(B) **

**(C) (D) **

#### Answer:

Hence, the correct answer is C.

#### Question 22:

If such that* f*(2) = 0, then *f*(*x*) is

**(A) ** **(B) **

**(C) **** (D) **

#### Answer:

It is given that,

∴Anti derivative of

∴

Also,

Hence, the correct answer is A.