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NCERT Solutions class 12 Maths Exercise 7.6

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NCERT Solutions class 12 Maths Integrals

Integrate the functions in Exercises 1 to 8.

1.

Ans.

=

[Applying product rule]

=

=

=

=

2.

Ans.

=

[Applying product rule]

=

=

=

=

3.

Ans.

=

[Applying product rule]

=

=

=

[Again applying product rule]

=

=

=

=

=

4.

Ans.

=

=

[Applying product rule]

=

=

=

=

5.

Ans.

=

=

[Applying product rule]

=

=

=

=

6.

Ans.

=

=

[Applying product rule]

=

=

=

=

7.

Ans. Let I =

Putting

I =

=

=

=

[Integrating by parts]

=

=

=

=

=

8.

Ans. Let I =

=

=

=

=

=

=

=

Integrate the functions in Exercises 9 to 15.

9.

Ans. Let I =  ……….(i)

Putting

From eq. (i),

I =

=

=

[Applying product rule]

=

=

=

=

Putting  and

=

=

10.

Ans. Putting

=

=

[Applying product rule]

=

=

[Again applying product rule]

=

=

=

11.

Ans. Let I =  ……….(i)

Putting

From eq. (i),

I =

=

=

=

[Applying product rule]

=

=

=

=

=

12.

Ans.

=

[Applying product rule]

=

=

=

=

13.

Ans. Let I =

=

=

=

=

=

14.

Ans.

=

=

=

=

=

=

=

15.

Ans.

=

=

[Applying product rule]

=

=

=

=

Integrate the functions in Exercises 16 to 22.

16.

Ans. Let I =

It is in the form of  since here  and

I =

17.

Ans. Let I =

=

=

I =

It is in the form of  since here  and

I =

18.

Ans. Let I =

=

=

=

=

It is in the form of  since here  and

=

19.

Ans. Let I =

It is in the form of  since here  and

I =

=

20.

Ans. Let I =

=

=

I =

It is in the form of  since here  and

=

= .

I =

21.

Ans. Let I =

=

[Applying product rule]

I =

I =

[Again applying product rule]

I =

=

5I =

I =

22.

Ans. Putting

=

=

=  =

=

[Applying product rule]

=

=

=

=

=

Choose the correct answer in Exercise 23 and 24.

23.  equals to

(A)

(B)

(C)

(D)

Ans. Let I =

=    ……….(i)

Putting

From eq. (i), I =

=

=

Therefore, option (B) is correct.

24.  equals:

(A)

(B)

(C)

(D)

Ans. Let I =

=

It is in the form of  since here  and

I =

Therefore, option (B) is correct.

NCERT Solutions class 12 Maths Exercise 7.6

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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7 thoughts on “NCERT Solutions class 12 Maths Exercise 7.6”

1. Very nice solution

2. very nice tric of solution 100% dout clears thanks.