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

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

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • HYPERBOLIC FUNCTIONS

    SIA PUBLICATION|Exercise Problems|16 Videos
  • LIMITS AND CONTINUITY

    SIA PUBLICATION|Exercise Problems|46 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=

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

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

SIA PUBLICATION-INDEFINITE INTEGRATION -PROBLEMS
  1. If I(n)= intx^(n) e^(cx) dx for n ge 1, then c, I(n) + nI(n-1) is equa...

    Text Solution

    |

  2. If inte^(x)(1+x) sec^(2)(xe^(x))dx = f(x) + constant, then f(x) is equ...

    Text Solution

    |

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

    Text Solution

    |

  4. int tan^(-1) (sqrt((1-x)/(1+x)))dx is equal to

    Text Solution

    |

  5. int(sinx + 8 cosx)/(4 sinx + 6 cosx)dx is equal to

    Text Solution

    |

  6. Assertion (A) (x^(2)-1)/(x^(2))e^(x^(2)+1)/x dx = e^(x^(2)+1)/x + c ...

    Text Solution

    |

  7. If intsqrt(x/(a^(3)-x^(3)))dx = g(x)+c, then g(x) is equal to

    Text Solution

    |

  8. If int(dx)/(x^(2) + 2x+2) =f(x) +c, then f(x) is equal to

    Text Solution

    |

  9. If int(sinx)/(cosx(1+cosx))dx = f(x)+c, then f(x) is equal to

    Text Solution

    |

  10. If int(x^(49)tan^(-1)(x^(50))/(1+x^(100)))dx = k(tan^(-1)(x^(50))^(2)+...

    Text Solution

    |

  11. If int sin^(-1)(2x)/(1+x^(2))dx = f(x) - log(1+x^(2))+c, then f(x) is ...

    Text Solution

    |

  12. int (dx)/((x+100)sqrt(x+99))=f(x)+c rArr f(x)=

    Text Solution

    |

  13. int (3-x^(2))/(1-2x+x^(2))e^(x)dx=e^(x)f(x)+c rArr f(x)=

    Text Solution

    |

  14. int (sqrt(cotx))/(sin xcos x)dx=-f (x)+c rArr f(x)=

    Text Solution

    |

  15. int((1+x)+sqrt(x)*sqrt(1+x))/(sqrt(x)+sqrt(1+x))))dx is equal to

    Text Solution

    |

  16. The integral int (1+x-(1)/(x))e^(x+1//x) dx is equal to

    Text Solution

    |

  17. int(dx)/(1-cosx-sinx) is equal to

    Text Solution

    |

  18. int(dx)/(7+5 cosx) is equal to

    Text Solution

    |

  19. int(3^(x)dx)/sqrt(9^(x)-1) is equal to

    Text Solution

    |

  20. int (dx)/(sqrt(x) (x+9))) is equal to

    Text Solution

    |