Evaluate the following integrals: int(d...

Evaluate the following integrals:
`int(dx)/(x^(2)+6x+11)`

Text Solution

Verified by Experts

The correct Answer is:

`1/(sqrt(2))tan^(-1)((x+3)/(sqrt(3)))|C`

Doubtnut Promotions Banner Desktop Dark

Doubtnut Promotions Banner Mobile Dark

|

Topper's Solved these Questions

INTEGRALS
BETTER CHOICE PUBLICATION|Exercise ASSIGNMENT (SECTION VI MOST IMPORTANT QUESTIONS FOR PRACTICE)|17 Videos
INTEGRALS
BETTER CHOICE PUBLICATION|Exercise ASSIGNMENT (SECTION VII MOST IMPORTANT QUESTIONS FOR PRACTICE)|16 Videos
INTEGRALS
BETTER CHOICE PUBLICATION|Exercise ASSIGNMENT (SECTION IV MOST IMPORTANT QUESTIONS FOR PRACTICE)|23 Videos
DIFFERENTIAL EQUATIONS
BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARD.S QUESTIONS FOR PRACTICE|50 Videos
INVERSE TRIGONOMETRIC FUNCTIONS
BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARD.S QUESTIONS FOR PRACTICE (MCQ)|48 Videos

Similar Questions

Explore conceptually related problems

Evaluate the following integrals : int(dx)/(x^3)

Evaluate the following integrals: int (dx)/(x^(2)-6x+13)

Evaluate the following integrals: int(x^3-1)/(x^2) dx

Evaluate the following integrals: int(x^2)/(x^2-1)dx

Evaluate the following integrals: int(x^2)/(x^2-4)dx

Evaluate the following integrals: int(dx)/(x^2+4x+8)

Evaluate the following integrals : int(dx)/(x^2+4x+4)

Evaluate the following integrals: int(x+2/x)dx

Evaluate the following integrals: int (x+2)/(2x^(2)+6x+5)dx

Evaluate the following integrals: int (dx)/(x^(2)-5x+6)dx

BETTER CHOICE PUBLICATION-INTEGRALS-ASSIGNMENT (SECTION V MOST IMPORTANT QUESTIONS FOR PRACTICE)

Evaluate the following integrals: int(dx)/(x^(2)+6x+11)
01:17
|
Evaluate the following integrals: int secx(secx+tanx)dx
01:54
|
Evaluate the following integrals: int ((sec^2x)dx)/(cosec^2x)
03:03
|
Evaluate the following integrals: int sqrt(1+x^2/4)dx
02:36
|
Evaluate the following integrals: int (xlog2x)dx
03:48
|
Evaluate the following integrals: int (x^(2))/(x^(2)+3x+3)dx
05:42
|
Evaluate the following integrals: int (dx)/(sqrt((x-1)(x-2)))
02:50
|
Evaluate the following integrals: int (dx)/(sqrt(x^(2)-3x+2))
02:34
|
Evaluate the following integrals: int (3x^2dx)/(x^6+1)
02:15
|
Evaluate the following integrals: int (dx)/(sqrt(4+2x-x^(2)))
01:54
|
Evaluate the following integrals: int (dx)/(sqrt(2+7x-3x^(2)))
03:27
|
Evaluate the following integrals: int (dx)/(sqrt(10-8x-2x^(2)))
03:16
|
Evaluate the following integrals: int (dx)/(sqrt(x)sqrt(5-x))
02:24
|
Evaluate the following integrals: int 1/(sqrt(2x-x^(2)))dx
01:58
|
Evaluate the following integrals: int (dx)/(1-x^(2)-x^(4))dx
03:18
|
Evaluate the following integrals: int (cosx)/(sqrt(sin^(2)x-2sinx-3))...
03:11
|
Evaluate the following integrals: int (x+2)/(sqrt((x-2)(x-3)))dx
05:31
|
Evaluate the following integrals: int (5x+3)/(sqrt(x^(2)+4x+10))dx
05:49
|
Evaluate the following integrals: int (3x+5)/(sqrt(x^(2)-8x+7))
05:18
|
Evaluate the following integrals: int (2x+1)/(sqrt(x^(2)+4x+3))dx
04:01
|