Evaluate the following integrals : int...

Evaluate the following integrals :
`int((x^(4)-x)^(1//4))/(x^(5))dx`.

Text Solution

Verified by Experts

The correct Answer is:

`t=1-(1)/(x^(3))`

Doubtnut Promotions Banner Desktop Dark

Doubtnut Promotions Banner Mobile Dark

|

Topper's Solved these Questions

INTEGRATION
ARIHANT PUBLICATION|Exercise PART II (QUESTION FOR PRACTICE) (6 MARK)|3 Videos
INTEGRATION
ARIHANT PUBLICATION|Exercise PART III (QUESTIONS FOR PRACTICE) (1 MARK)|6 Videos
INTEGRATION
ARIHANT PUBLICATION|Exercise PART II (QUESTION FOR PRACTICE) (1 MARK)|17 Videos
DIFFERENTIAL EQUATION
ARIHANT PUBLICATION|Exercise CHAPTER PRACTICE (LONG ANSWER TYPE QUESTIONS)|21 Videos
INVERSE TRIGONOMETRIC FUNCTIONS
ARIHANT PUBLICATION|Exercise CHAPTER PRACTICE |35 Videos

Similar Questions

Explore conceptually related problems

Evaluate the following integrals : int5^(x)dx

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

Evaluate the following integrals : int(x^(2))/(1-x^(4))dx .

Evaluate the following integrals : int(1)/(x^(3//4))dx

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

Evaluate the following integrals : int(dx)/(e^(4x)-5) .

Evaluate the following integrals : int((x^(3)+8)(x-1))/(x^(2)-2x+4)dx

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

Evaluate the following integrals int_0^1x^(1/3)dx

Evaluate the following integrals int_(-2)^3x^4dx

ARIHANT PUBLICATION-INTEGRATION -PART II (QUESTION FOR PRACTICE) (4 MARK)

Evaluate the following integrals : int((x^(4)-x)^(1//4))/(x^(5))dx.
04:16
|
Evaluate the following integrals : int(x^(2)-x+2)/(x^(2)+1)dx
03:36
|
Evaluate the following integrals : intsqrt((1+x)/(1-x))dx,x!=1.
05:22
|
Evaluate the following integrals : int(e^(x)-1)/(e^(x)+1)dx.
04:34
|
Evaluate the following integrals : int(dx)/(x^(1/2)+x^(1/3))
06:11
|
Evaluate the following integrals : int sin x sin 2x sin 3xdx.
05:28
|
Evaluate the following integrals : intsin^(4)x cos^(3)x dx.
02:54
|
Evaluate the following integrals : int(cosx-cos2x)/(1-cosx)dx
02:35
|
Integrate : int (sin6x + sin4x) / (cos6x + cos4x) dx.
02:35
|
Evaluate the following integrals : inttan^(-1)sqrt((1-cosx)/(1+cosx))...
01:56
|
Evaluate the following integrals : int(sin^(6)x+cos^(6)x)/(sin^(2)x*c...
04:35
|
Evaluate the following integrals : int(cos^3x)/(1+cos2x)dx.
02:00
|
Evaluate the following integrals : int(dx)/(x[(logx)^(2)+25])
03:02
|
Evaluate the following integrals : int(x+3)/(x^(2)-2x-5)dx.
07:56
|
Evaluate the following integrals : int(x)/(x^(2)+x+1)dx.
07:35
|
Evaluate the following integrals : int(6x+7)/(sqrt(3x^2+7x))dx.
02:39
|
Evaluate the following integrals : int(x+2)/(sqrt(4x-x^(2)))dx.
Text Solution
|
Evaluate the following integrals : int(sinx)/(sin3x)dx.
05:22
|
Evaluate the following integrals : int(dx)/(2sin^(2)x+5cos^(2)x)dx.
04:19
|
Evaluate the following integrals : int(1)/(1-cotx)dx.
05:05
|