Home
Class 12
MATHS
int ((x+1)dx)/(x(1+xe^(x)))=...

`int ((x+1)dx)/(x(1+xe^(x)))=`

A

`log ((1+xe^(x))/(xe^(x)))+c`

B

`log ((xe^(x))/(1+xe^(x)))+c`

C

`log xe^(2)(1+xe^(x))=c`

D

`log(1+xe^(x))+c`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SET-1)|4 Videos

  • INDEFINITE INTEGRATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SET-2)|4 Videos

  • INDEFINITE INTEGRATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1B|132 Videos

  • HYPERBOLIC FUNCTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 {SPECIAL TYPE QUESTIONS} SET - 4|3 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) (SET - 4)|5 Videos

Similar Questions

Explore conceptually related problems

int (x + 1)/(x (1 + xe^(x))) dx =

int (1)/(x(1 + x^(10))) dx =

int (dx)/(x(x^4+1))=

int_(0)^(1)(dx)/(x+sqrt(x))=

Evalute the following integrals int (xe^(x))/((1 + x)^(2)) dx

Show that (a) int_(e)^(e^(2))(1)/(log x)dx = int_(1)^(2)(e^(x))/(x)dx (b) int_(t)^(1)(dx)/(1+x^(2)) = int_(1)^(1//t)(dx)/(1+x^(2))