Home
Class 12
MATHS
(i) int(e^(x))/(1+e^(x))dx" "(ii) ...

`(i) int(e^(x))/(1+e^(x))dx" "(ii) int (e^(x)) /((1+e^(x))^(4))dx`

Text Solution

Verified by Experts

The correct Answer is:
`(i) log |1+e^(x)|+c (ii) -(1)/(3(1+e^(x))^(3))+c`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • INTEGRATION

    NAGEEN PRAKASHAN|Exercise Exercise 7f|24 Videos
  • INTEGRATION

    NAGEEN PRAKASHAN|Exercise Exercise 7g|31 Videos
  • INTEGRATION

    NAGEEN PRAKASHAN|Exercise Exercise 7d|38 Videos
  • DIFFERENTIAL EQUATIONS

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|18 Videos
  • INVERES TRIGONOMETRIC FUNCTIONS

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise (prove That )|9 Videos

Similar Questions

Explore conceptually related problems

int(e^(4x)-1)/(e^(2x))dx

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

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

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

int(e^(x)dx)/(e^(x)-1)

I=int(e^x)/(e^(x)-1)dx

int(e^x dx)/(1-e^(x))

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

I=int(e^(2x)-1)/(e^(2x))dx

int(3e^(x)-4)/(e^(x)+1)dx=