Mathematics Part-II

Book: Mathematics Part-II

Chapter: 7. Integrals

Subject: Maths - Class 12th

Q. No. 3 of Exercise 7.5

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3

Integrate the rational functions.

Let

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


Substituting x = 1, 2 and 3 respectively in equation (1), we get,


A = 1, B = -5 and C = 4


Thus,




= log|x -1| -5log|x-2| + 4log|x-3| + C


3

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

Integrate the rational functions.
4

Integrate the rational functions.
5

Integrate the rational functions.
6

Integrate the rational functions.
7

Integrate the rational functions.
8

Integrate the rational functions.
9

Integrate the rational functions.
10

Integrate the rational functions.
11

Integrate the rational functions.
12

Integrate the rational functions.
13

Integrate the rational functions.
14

Integrate the rational functions.
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.