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# NCERT Solutions for Class 12 Mathematics-II english Medium 7. Integrals

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## 7. Integrals

#### Exercise 7.1

Exersise 7.1

Find an antiderivative (or integral) of the following functions by the method of inspection

Ques.1.

Ans.

An anti-derivative of  is

Ques.2.

Ans.

An anti-derivative of  is

Ques.3.

Ans.

An anti-derivative of  is

Ques4.

Ans.

An anti-derivative of  is

Ques.5.

Ans.

…..(i)

Again

[Multiplying both sides by ] ……….(ii)

Adding eq. (i) and (ii), we get

An anti-derivative of  is

Ques.6.

Ans.

Ques.7.

Ans.  =  =  =

Ques.8.

Ans.

where  is the constant of integration.

Ques.9.

Ans.

Ques.10.

Ans.

Ques11.

Ans.

Ques.12.

Ans.

Ques.13.

Ans.

Ques14.

Ans.

=

Ques.15.

Ans.

Ques16.

Ans.

Ques.17.

Ans.

Ques.18.

Ans.

Ques.19.

Ans.

Ques.20.

Ans.

Ques.21. Choose the correct answer:

The anti derivative of  equals.

(A)

(B)

(C)

(D)

Ans.

hance, option (C) is correct.

Ques.22. Choose the correct answer:

If  such that  Then  is:

(A)

(B)

(C)

(D)

Ans.

……….(i)

Putting  in eq. (i),

hance, option (A) is correct.

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## Topic Lists:

##### NCERT Solutions⇒Class 12th ⇒ Mathematics-II ⇒ Chapter 7. Integrals:

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