Mathematics Part-II

Book: Mathematics Part-II

Chapter: 7. Integrals

Subject: Maths - Class 12th

Q. No. 23 of Exercise 7.5

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23

Integrate the rational functions.

Let

1 = A(X2 + 1) + (Bx + C)


Equating the coefficients of x2, x and constant term, we get,


A + B = 0


C = 0


A = 1


On solving these equations, we get,


A = 1, B = -1 and C = 0




24

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

Integrate the rational functions.
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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9

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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

Integrate the rational functions.

[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

Integrate the rational functions.

[Hint: Put ex = t]
22

23

Integrate the rational functions.