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

#### 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:

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#### Question 7:

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#### Question 8:

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#### Question 9:

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#### Question 10:

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#### Question 11:

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#### Question 12:

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#### Question 13:

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On dividing, we obtain

#### Question 14:

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#### Question 15:

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#### Question 16:

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#### Question 17:

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#### Question 18:

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#### Question 19:

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#### Question 20:

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#### 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.

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