Home
Class 12
MATHS
If int (e^(x)-1)/(e^(x)+1)dx=f(x)+c, the...

If `int (e^(x)-1)/(e^(x)+1)dx=f(x)+c`, then `f(x)=`

A

2 log `(e^(x) + 1))`

B

log `(e^(2x) - 1)`

C

2 log `(e^(x) + 1) -x `

D

`log (e^(2x) + 1)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRALS

    AAKASH SERIES|Exercise EXERCISE -II|157 Videos
  • INDEFINITE INTEGRALS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|167 Videos
  • INDEFINITE INTEGRALS

    AAKASH SERIES|Exercise ADDITIONAL EXERCISE|16 Videos
  • HYPERBOLA

    AAKASH SERIES|Exercise Exercise|6 Videos
  • LOGARITHMIC SERIES

    AAKASH SERIES|Exercise EXERCISE - III|8 Videos

Similar Questions

Explore conceptually related problems

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

If inte^(-x)tan^(-1)(e^(x))dx

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

If int e^(x)(2+sin 2x)sec^(2)xdx=f(x)+c then f(x)=

int (e^(x))/(sqrt(1+(e^(x))))dx=

int (1)/(e^(x)+2e^(-x)-3)dx=

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

If int e^(x)(1+x)*sec^(2)(x e^(x))dx=f(x)+ constant, then f(x)=

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