Home
Class 12
MATHS
The value of int((1+x))/(x(1+x e^(x))^(2...

The value of `int((1+x))/(x(1+x e^(x))^(2))dx`, is equal to

A

`log|(x)/(1+x e^(x))|+(1)/((1+x e^(x)))+C`

B

`log|(x e^(x))/(1+x e^(x))|+(1)/(1+x e^(x))+C`

C

`log |(x e^(x))/(1+e^(x))|+(1)/(1+x e^(x))+C`

D

None of the above

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise For Session 1|15 Videos
  • INDEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise For Session 2|15 Videos
  • HYPERBOLA

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|17 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|8 Videos

Similar Questions

Explore conceptually related problems

int(1)/((e^(x)+e^(-x))^(2))dx is equal to

If int_(0)^(1)e^(x^(2))(x-a)dx=0 , then the value of int_(0)^(1)e^(X^(2))dx is euqal to

int(x e^(x))/((1+x)^(2)) dx is equal to

int _(-1)^(1) x^(3) e^(x^(4)) dx is equal to

int(e^(x))/((1+e^(x))(2+e^(x)))dx

int_(0)^(1) (dx)/(e^(x) +e^(-x)) dx is equal to

The value of int_(0) ^(1) (dx )/( e ^(x) + e) is equal to

The value of int(dx)/((e^(x)+1)(2e^(x)+3)) is equal to

int(x+1)^(2)e^(x)dx is equal to