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# NCERT Solutions class 12 Maths Exercise 7.1

Table of Contents

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NCERT Solutions class 12 Maths Exercise 7.1 Class 12 Maths book solutions are available in PDF format for free download. These ncert book chapter wise questions and answers are very helpful for CBSE board exam. CBSE recommends NCERT books and most of the questions in CBSE exam are asked from NCERT text books. Class 12 Maths chapter wise NCERT solution for Maths part 1 and Maths part 2 for all the chapters can be downloaded from our website and myCBSEguide mobile app for free.

Download NCERT solutions for Integrals as PDF

## NCERT Solutions class 12 Maths Integrals

Find an antiderivative (or integral) of the following functions by the method of inspection in Exercises 1 to 5.

1.

Ans.

An anti-derivative of  is

2.

Ans.

An anti-derivative of  is

3.

Ans.

An anti-derivative of  is

4.

Ans.

An anti-derivative of  is

5.

Ans.

…..(i)

Again

[Multiplying both sides by ] ……….(ii)

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

An anti-derivative of  is

Evaluate the following integrals in Exercises 6 to 11.

6.

Ans.

=

=

=

7.

Ans.  =  =  =

8.

Ans.

=

=

=  where  is the constant of integration.

9.

Ans.

=

=

=

10.

Ans.

=

=

=

=

11.

Ans.

=

=

=

=

=

Evaluate the following integrals in Exercises 12 to 16.

12.

Ans.

=

=

=

=

=

=

=

13.

Ans.

=

=

=

=

=

14.

Ans.

=

=

=

=

=  =

15.

Ans.

=

=

=

=

=

=

16.

Ans.

=

=

=

=

17.

Ans.

=

=

=

=

18.

Ans.

=

=

=

19.

Ans.

=

=

=

=

=

=

20.

Ans.

=

=

=

=

### 21. Choose the correct answer:

The anti derivative of  equals.

(A)

(B)

(C)

(D)

Ans.

=

=

=

=

=

Therefore, option (C) is correct.

### 22. Choose the correct answer:

If  such that  Then  is:

(A)

(B)

(C)

(D)

Ans.

=

=

=

……….(i)

Putting  in eq. (i),

Therefore, option (A) is correct.

## NCERT Solutions class 12 Maths Exercise 7.1

NCERT Solutions Class 12 Maths PDF (Download) Free from myCBSEguide app and myCBSEguide website. Ncert solution class 12 Maths includes text book solutions from both part 1 and part 2. NCERT Solutions for CBSE Class 12 Maths have total 13 chapters. 12 Maths NCERT Solutions in PDF for free Download on our website. Ncert Maths class 12 solutions PDF and Maths ncert class 12 PDF solutions with latest modifications and as per the latest CBSE syllabus are only available in myCBSEguide

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