Evaluate : int((x-4)e^(x))/(x-2)^(3)dx....

Evaluate : `int((x-4)e^(x))/(x-2)^(3)dx`.

Text Solution

Verified by Experts

The correct Answer is:

`1/(x-2)^(2)e^(x)+c`

Promotional Banner

Promotional Banner

Topper's Solved these Questions

INDEFINITE INTEGRALS
ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 4 MARKS|15 Videos
INDEFINITE INTEGRALS
ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 1 MARK - TYPE-III|22 Videos
DIFFERENTIABILITY
ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 4 MARKS|50 Videos
INVERSE TRIGONOMETRIC FUNCTIONS
ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 4 MARKS|27 Videos

ACCURATE PUBLICATION-INDEFINITE INTEGRALS -QUESTIONS CARRYING 2 MARKS

Integrate the following functions : int (sin(x-alpha))/(sin(x+alpha))d...
Text Solution
|
Evaluate : int(sinx-cosx)/sqrt(sin2x)dx.
Text Solution
|
Evaluate int (dx)/(sqrt(5-4x-2x^(2)))
Text Solution
|
Evaluae int(e^(x))/(sqrt(5-4e^(x)-e^(2x)))dx
Text Solution
|
Evaluate the following integrals: int (2x+5)/(sqrt(7-6x-x^(2)))dx
Text Solution
|
Evalualte : int (sqrt(tanx)+sqrt(cotx))dx.
Text Solution
|
Evaluate: int(logx)/((x+1)^2)dx
Text Solution
|
Find int(x^(2)-3x+1)/sqrt(1-x^(2))dx.
Text Solution
|
Evaluate intxsin^(1)x dx.
Text Solution
|
Find: int (xsin^(-1)x)/sqrt(1-x^2) dx
Text Solution
|
Evaluate int (x^(2)dx)/((x sin x + cos x)^(2)).
Text Solution
|
Integrate the function: (sqrt(x^2+1)[log(x^2+1) - 2logx])/x^4
Text Solution
|
Evaluate int ((sin^(-1) sqrt(x)-cos^(-1)sqrt(x))/(sin^(-1)sqrt(x)+cos^...
Text Solution
|
Find : inte^(2x)sin(3x+1)dx.
Text Solution
|
Evaluate : int((x-4)e^(x))/(x-2)^(3)dx.
Text Solution
|
Evaluate : inte^(2x)((1-sin2x)/(1-cos2x))dx.
Text Solution
|
Evaluate : int e^x((sin4x-4)/(1-cos4x))dx.
Text Solution
|
Evaluate : int [log(logx)+1/((logx)^2)]dx.
Text Solution
|
Evaluate int(1-x^(2))/(x(1-2x))dx
Text Solution
|
Evaluate the following integrals: int 1/(x(x^(3)+8))dx
Text Solution
|