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# NCERT Solutions class 12 Maths Exercise 7.9

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## NCERT Solutions class 12 Maths Integrals

Evaluate the definite integrals in Exercises 1 to 11.

1.

Ans.

=

=

=

=

=  =2

2.

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=

=

=

=

=

3.

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=

=

=

=

=

=

=

=  =

4.

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=

=

=

=  =

5.

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=

=

=  = 0

6.

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=

=

7.

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=

=

=

=

=

=

8.

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=

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9.

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=  =

10.

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=  =

11.

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=

Evaluate the definite integrals in Exercises 12 to 20.

12.

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=

=

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=

=

13.

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14.

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15.

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First we evaluate  =      ……….(i)

Putting

From eq. (i),  =

=

=

=

16.

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=

=  (On dividing)

=

=    where I =

=           ……….(i)

Now, I =        ……….(ii)

Let          ……….(iii)

Comparing coefficients of      A + B = –20    ……….(iv)

Comparing constants     3A + B = –15   ……….(v)

On solving eq. (iv) and (v), we get   A =  B =

Putting these values in eq. (iii),

I =

=

=

=

=

=

Putting this value of I in eq. (i),

=

=

17.

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18.

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19.

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20.

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[Applying Product Rule on first definite integral]

=

=

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=

=

Choose the correct answer in Exercises 21 and 22.

21.  equals:

(A)

(B)

(C)

(D)

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=

=

=  =

Therefore, option (D) is correct.

NCERT Solutions class 12 Maths Exercise 7.9

22.  equals:

(A)

(B)

(C)

(D)

Ans.

=

=

=

=

=

=

Therefore, option (C) is correct.

## NCERT Solutions class 12 Maths Exercise 7.9

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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