Home
Class 12
MATHS
int1/(1+e^(x))dx is equal to...

`int1/(1+e^(x))dx` is equal to

A

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

B

`log_(e)((e^(x)-1)/e^(x))+c`

C

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

D

`log_(e)(e^(x)/(e^(x)-1))+c`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • K-CET-MATHEMATICS - 2014

    SUNSTAR PUBLICATION|Exercise MCQs|59 Videos

  • K-CET-MATHEMATICS -2019

    SUNSTAR PUBLICATION|Exercise MCQs|58 Videos

Similar Questions

Explore conceptually related problems

int (x-1)e^(-x) dx is equal to :

int" e"^(sinx).((sinx+1)/(secx))dx is equal to

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

int sqrt(1+x^(2))dx is equal to

int x^(3) e^(x^(2))dx is equal to :

The value of the integral int e^(tan^(-1) x) * ((1 + x + x^(2)))/((1 + x^(2))) dx is equal to

int x^(3)/(x+1) dx is equal to

int e^(x)(1+sin x)/(1+cos x) dx is equal to

int e^(e^(e^(x)))e^(e^(x))dx is equal to :

int (x+sinx)/(1+cosx)dx is equal to

SUNSTAR PUBLICATION-K-CET-MATHEMATICS -2018-MULTIPLE CHOICE QUESTIONS
  1. if f(x)={((log(e)x)/(x-1),,,x!=1),(k,,, x=1):} is continuous at x=1, t...

    Text Solution

    |

  2. Approximate change in the volume V of a cube of side x metres caused b...

    Text Solution

    |

  3. The maximum value of (1/x)^(x) is

    Text Solution

    |

  4. f(x)=x^(x) has a stationary point at :

    Text Solution

    |

  5. The maximum area of a rectangle inscribed in the circle (x+1)^(2)+(y-3...

    Text Solution

    |

  6. int1/(1+e^(x))dx is equal to

    Text Solution

    |

  7. int1/(sqrt(3-6x-9x^(2)))dx is equal to

    Text Solution

    |

  8. int" e"^(sinx).((sinx+1)/(secx))dx is equal to

    Text Solution

    |

  9. int(-2)^2 |x cos pi x|dx is equal to :

    Text Solution

    |

  10. int(0)^(1)(dx)/(e^(x)+e^(-x)) is equal to

    Text Solution

    |

  11. int(0)^(1//2)(dx)/((1+x^(2))sqrt(1-x^(2))) is equal to

    Text Solution

    |

  12. Area of the region bounded by the curve y = cos x, x = 0 and x = pi is

    Text Solution

    |

  13. The area bounded by the line y=x,x-axis and ordinates x=-1 and x=2 is

    Text Solution

    |

  14. The degree and the order of the differential equation (d^(2)y)/(dx^(2)...

    Text Solution

    |

  15. The solution of the differential equation x(dy)/(dx)-y=3 represents a ...

    Text Solution

    |

  16. The integrating factor of (dy)/(dx)+y =(1"+ y ")/x is

    Text Solution

    |

  17. If |vecaxxvecb|^2+|veca.vecb|^2=144and |veca|=4, then the value of |ve...

    Text Solution

    |

  18. If veca and vecb are mutually perpendicular unit vectors , then (3veca...

    Text Solution

    |

  19. If the vectors p hati + hatj+ hatk, hati i+ q hatj + hatk and hati + h...

    Text Solution

    |

  20. If veca=hati+lamdahatj+2hatk,vecb=muhati+hatj-hatk are orthogonal and ...

    Text Solution

    |