Mathematics Part-II

Book: Mathematics Part-II

Chapter: 7. Integrals

Subject: Maths - Class 12th

Q. No. 21 of Exercise 7.5

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21

Integrate the rational functions.

[Hint: Put ex = t]

Now,

Let ex = t


ex dx = dt



Let


1 = A(t – 1) + Bt …(1)


Substituting t =1 and t = 0 in equation (1), we get,


A = -1 and B = 1





21

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

Integrate the rational functions.
3

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4

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5

Integrate the rational functions.
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

Integrate the rational functions.
13

Integrate the rational functions.
14

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15

Integrate the rational functions.
16

Integrate the rational functions.

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

Integrate the rational functions.
18

Integrate the rational functions.
19

Integrate the rational functions.
20

Integrate the rational functions.
21

Integrate the rational functions.

[Hint: Put ex = t]
22

23

Integrate the rational functions.