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NCERT Solutions class 12 Maths Exercise 7.6

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NCERT Solutions class 12 Maths Exercise 7.6 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 Exercise 7.6

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

=


NCERT Solutions class 12 Maths Exercise 7.6

19.  

Ans. Let I =

It is in the form of  since here  and

 I =

=


NCERT Solutions class 12 Maths Exercise 7.6

20.  

Ans. Let I =

=

=

 I =

It is in the form of  since here  and

=

= .

 I =


NCERT Solutions class 12 Maths Exercise 7.6

21.  

Ans. Let I =

=

[Applying product rule]

  I =

  I =

[Again applying product rule]

  I =

=

  5I =

  I =


NCERT Solutions class 12 Maths Exercise 7.6

22.  

Ans. Putting

 

 

=

=

=  =

=

[Applying product rule]

=

=

=

=

=


NCERT Solutions class 12 Maths Exercise 7.6

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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