Evaluate :int(dx)/(x(x+2))...

Evaluate :`int(dx)/(x(x+2))`

Text Solution

Verified by Experts

The correct Answer is:

`(1)/(2) log |(x)/(x+2)|+C`

Doubtnut Promotions Banner Desktop Dark

Doubtnut Promotions Banner Mobile Dark

|

Topper's Solved these Questions

INTEGRATION USING PARTIAL FRACTIONS
RS AGGARWAL|Exercise Exercise 15B|40 Videos
INTEGRATION USING PARTIAL FRACTIONS
RS AGGARWAL|Exercise Objective Questions I|32 Videos
INTEGRATION USING PARTIAL FRACTIONS
RS AGGARWAL|Exercise Objective Questions Ii|37 Videos
INDEFINITE INTEGRAL
RS AGGARWAL|Exercise Objective Questions|41 Videos
INVERSE TRIGNOMETRIC FUNCTIONS
RS AGGARWAL|Exercise Objective Questons|57 Videos

Similar Questions

Explore conceptually related problems

Evaluate int(x)/(x+2)dx

Evaluate int(dx)/(1-x-x^(2))

Evaluate int(dx)/((1+x-x^(2))) .

"Evaluate ": int(dx)/(x^(2)(x^(3)+1)^(2/3))

Evaluate : int(dx)/(x^(2)(x^(3)+1)^(2/3))

11.Evaluate: int(dx)/((x-1)(x-2)(x-3))

Evaluate int(dx)/((x-1)(x-2)(x-3))

Evaluate :int(dx)/(x^(3)+x^(2)+x+1)

Evaluate: int(dx)/(x(x^(3/2)+1))

Evaluate: int(dx)/(x^((2)/(3))(1+x^((2)/(3))))

RS AGGARWAL-INTEGRATION USING PARTIAL FRACTIONS-Exercise 15A

Evaluate :int(dx)/(x(x+2))
03:44
|
Evaluate: int(2x+1)/((x-2)(x-3))\ dx
04:08
|
int(x)/((x+2)(3-2x))dx
03:53
|
int(dx)/(x(x-2)(x-4))
08:14
|
Evaluate: int(2x-1)/((x-1)(x+2)(x-3))dx
01:51
|
int((x-1))/((x-1)^(2)(2x+3))dx
01:39
|
Evaluate: int(2x+5)/(x^2-x-2)\ dx
05:05
|
Evaluate: int(x^2+5x+3)/(x^2+3x+2)\ dx
07:28
|
Evaluate: int(x^2+1)/(x^2-1)\ dx
03:14
|
int(x^(3))/((x^(2)-4))dx
02:56
|
Evaluate: int(3(4x)-x^2)/((x+2)(x-1))dx
10:52
|
Evaluate: int(x^3)/((x-1)(x-2))\ dx
05:06
|
int((x^(3)-x-2))/((1-x^(2)))dx
05:50
|
Evaluate int((2x+1))/((4-3x-x^(2)))dx.
08:21
|
Evaluate : int(2x)/((x^2+1)\ (x^2+3))\ dx
03:57
|
int(cosx)/((1+sinx)(2+sin x))dx
02:43
|
int(sec^(2)x)/((2+tan x)(3+tan x))dx
03:44
|
int ( sin x cos x)/((cos^(2)x-cos x-2))dx
03:51
|
Evaluate: int(e^x)/(e^(2x)+5e^x+6)dx
03:49
|
int(e^(x))/((e^(3x)-3e^(2x)-e^(x)+3))dx
02:45
|