Home
Class 12
MATHS
If int(dx)/(1+e^(x))=x+f(x)+C , then f(x...

If `int(dx)/(1+e^(x))=x+f(x)+C` , then f(x) is equal to

A

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

B

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

C

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

D

`(x+e^(x))/(1+e^(x))`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRATION

    MCGROW HILL PUBLICATION|Exercise EXERCISE (LEVEL 1 (SINGLE CORRECT ANSWER TYPE QUESTION ))|35 Videos
  • INDEFINITE INTEGRATION

    MCGROW HILL PUBLICATION|Exercise EXERCISE (LEVEL 2 (SINGLE CORRECT ANSWER TYPE QUESTION ))|30 Videos
  • INDEFINITE INTEGRATION

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLE ( NUMERICAL ANSWER TYPE QUESTION )|16 Videos
  • HYPERBOLA

    MCGROW HILL PUBLICATION|Exercise QUESTION FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|8 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS |3 Videos

Similar Questions

Explore conceptually related problems

If int(e^(x)-1)/(e^(x)+1)dx=f(x)+C, then f(x) is equal to

If int(dx)/(xf(x))=f(f(x))+c, then f(x) is equal to

inte^(x)(1+x)sec^(2)(xe^(x))dx=f (x)+ Constant , then f (x) is equal to

If int (e ^(x) (1+ sin x )dx)/( 1+ cos x ) = e ^(x) f (x) + C, then f (x) is equal to