Home
Class 12
MATHS
The value of the integral int (dx)/(x (1...

The value of the integral `int (dx)/(x (1 + log x)^(2))` is equal to

A

`(-1)/(1 + x)`

B

`(-1)/(1 + log x)`

C

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

D

`(1)/(1 + x^(2))`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MODEL TEST PAPER - 8

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|60 Videos

  • MODEL TEST PAPER 10

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|60 Videos

Similar Questions

Explore conceptually related problems

The value of the integral I = int_0^1 x (1 - x)^(n) dx is :

int log x dx is equal to :

The value of the integral int_0^1 sqrt((1 - x)/(1 + x))dx is :

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

int dx /(x(log x)^(3)) =

int (1)/(x(log x)^m) dx

The value of the integral int_0^(oo) log(x+1/x) (dx)/(x^2 +1) is

The value of integral int_0^(oo) (x log x)/((1 + x^2)^2) dx is :

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

KCET PREVIOUS YEAR PAPERS-MODEL TEST PAPER 02-MATHEMATICS
  1. The standard equation of the hyperbola having the distance between foc...

    Text Solution

    |

  2. Find the eccentricity of the elipse ( x^(2))/( 16)+ ( y^(2) )/( 9) =1

    Text Solution

    |

  3. If the angle between the lines whose direction ratios are 2 , -1 , 2 a...

    Text Solution

    |

  4. The point of intersection of the lines (x + 1)/(3) = (y + 3)/(5) = (z...

    Text Solution

    |

  5. The point of intersection of the line joining the points (-3 , 4 , -8)...

    Text Solution

    |

  6. If a real valued function of a real variable is defined as f (x) = cos...

    Text Solution

    |

  7. If X = { 1 , 2 , 3} and Y = {0 , 1} and f : X to Y defined by f = { (1...

    Text Solution

    |

  8. lim(x to oo) ((x + 6)/(x + 1))^(x + 4) , is equal to

    Text Solution

    |

  9. If the function . f(x) = 4 xx 5^(x) for x lt 0 = 8a + x for x ge 0...

    Text Solution

    |

  10. If f(a) = 2 , f ' (a) = 1 , g (a) = -1 , g'(a) = 2 , then lim(x to a) ...

    Text Solution

    |

  11. The derivative of tan^(-1) [(sqrt(1 + x^(2)) - 1)/(x)] with respect to...

    Text Solution

    |

  12. The value of dy/dx , when cos x = (1)/( sqrt(1 + t^(2))) and sin y = (...

    Text Solution

    |

  13. If y = a cos 2 x + b sin 2 x , then

    Text Solution

    |

  14. If l(1) = (d)/(dx) (e^(sin x)) , l(2) = lim(h to 0) (e^(sin ( x+ h)) ...

    Text Solution

    |

  15. The value of the integral int e^(tan^(-1) x) * ((1 + x + x^(2)))/((1 +...

    Text Solution

    |

  16. The value of the integral int (dx)/(x (1 + log x)^(2)) is equal to

    Text Solution

    |

  17. If the binary operation ** is defined on a set of ordered pairs of rea...

    Text Solution

    |

  18. The set of matrices S = {[{:( x , -x) , (-x , x):}]0 ne x in R} forms...

    Text Solution

    |

  19. Let p and q denote the following propositions : p : To become an army ...

    Text Solution

    |

  20. Indicate which of the following is a tautology .

    Text Solution

    |