Mathematics Part-II

Book: Mathematics Part-II

Chapter: 7. Integrals

Subject: Maths - Class 12th

Q. No. 10 of Exercise 7.5

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10

Integrate the rational functions.


Let


⇒2x – 3 = A(x - 1)(2x + 3) + B(x + 1)(2x + 3) + C(x+1)( x – 1)


⇒ 2x – 3 = A(2x2 + x – 3) + B(2x2 + 5x + 3) + C(x2 - 1)


⇒2x - 3 = (2A + 2B + C)x2 + (A + 5B)x + (-3A + 3B – C)


Equating the coefficients of x2 and x, we get,


B =, A = and C =


Thus,







10

Chapter Exercises

Exercise 7.2
Exercise 7.4
Exercise 7.5
Exercise 7.3
Exercise 7.1
Exercise 7.6
Exercise 7.8
Exercise 7.9
Exercise 7.10
Exercise 7.11
Exercise 7.7
Miscellaneous Exercise

More Exercise Questions

1

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2

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3

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4

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5

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6

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7

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8

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10

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11

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12

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13

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14

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15

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16

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[Hint: multiply numerator and denominator by xn-1 and put xn=t]
17

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18

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19

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20

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21

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[Hint: Put ex = t]
22

23

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