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Solutions 7. Integrals - Exercise 7.9 | Class 12 Mathematics-II - Toppers Study
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Solutions 7. Integrals - Exercise 7.9 | Class 12 Mathematics-II - Toppers Study
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Chapter 7 Mathematics-II class 12
Exercise 7.9 class 12 Mathematics-II Chapter 7. Integrals
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7. Integrals
| Exercise 7.9 |
Solutions 7. Integrals - Exercise 7.9 | Class 12 Mathematics-II - Toppers Study
Exercise - 7.9
Evaluate the definite integrals in Exercises 1 to 20
Ques.1.
Ans.
=
=
=
=
=
= 2
Ques.2.
Ans.
=
=
=
=
=
Ques.3.
Ans.
=
=
=
=
=
=
=
= =
Ques.4.
Ans.
=
=
=
= =
Ques.5.
Ans.
=
=
= = 0
Ques.6.
Ans.
=
=
=
Ques.7.
Ans.
=
=
=
=
=
=
Ques.8.
Ans.
=
=
=
=
=
Ques.9.
Ans.
=
=
= =
Ques.10.
Ans.
=
=
= =
Ques.11.
Ans. =
=
=
=
=
=
=
Ques.12.
Ans.
=
=
=
=
=
=
Ques.13.
Ans. =
=
=
=
=
=
Ques.14.
Ans.
=
=
=
=
=
=
Ques.15.
Ans.
First we evaluate = ……….(i)
Putting
From eq. (i), =
=
=
=
Ques.16.
Ans.
=
= (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),
=
=
Ques.17.
Ans.
=
=
=
=
=
Ques.18.
Ans.
=
=
=
=
=
=
Ques.19.
Ans.
=
=
=
=
=
=
=
Ques.20.
Ans.
=
=
[Applying Product Rule on first definite integral]
=
=
=
=
=
Choose the correct answer in Exercises 21 and 22.
Ques.21. equals:
(A)
(B)
(C)
(D)
Ans.
=
=
= =
hance, option (D) is correct.
Ques.22. equals:
(A)
(B)
(C)
(D)
Ans.
=
=
=
=
=
=
hance, option (C) is correct.
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