Home
Class 12
MATHS
int(2)^(e) ((1)/(ln x) - (1)/((ln x)^(2)...

`int_(2)^(e) ((1)/(ln x) - (1)/((ln x)^(2)))dx=`

A

0

B

e

C

`e-2log_(2)e`

D

`2 log_(2)e`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRALS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|151 Videos

  • DEFINITE INTEGRALS

    AAKASH SERIES|Exercise Examples|8 Videos

  • DEFINITE INTEGRALS

    AAKASH SERIES|Exercise EXERCISE - I|67 Videos

  • COMPLEX NUMBERS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|93 Videos

  • DEMOIVRE'S THEOREM

    AAKASH SERIES|Exercise PRACTICE EXERCISE|64 Videos

Similar Questions

Explore conceptually related problems

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

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

int_(1)^(e)(ln x)/(x^(2))dx=

int_(1)^(e) ((ln x )^(3))/(x) dx=

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

Evaluate int_(0)^(oo) log ( x + 1/x) . (1)/(1+x^(2))dx

int_(1)^(4) ln [x] dx=

AAKASH SERIES-DEFINITE INTEGRALS-EXERCISE - II
  1. int(0)^(1)(xSin^(-1)x)/(sqrt(1-x^(2)))dx=

    Text Solution

    |

  2. int(0)^(pi//2) e^(x)((1+sin x)/(1+cos x))dx=

    Text Solution

    |

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

    Text Solution

    |

  4. If A = int(0)^(1) (e^(t))/(1+ t)dt then int(0)^(1) e^(t) ln (1 + t) dt...

    Text Solution

    |

  5. int(0)^(1) ((1-x^(2))dx)/(x^(4)+x^(2)+1)=

    Text Solution

    |

  6. If k int(0)^(1) x f (3 x) dx = int(0)^(3) t f(t) dt then k=

    Text Solution

    |

  7. If (d)/(dx) f(x) = g(x) then int(a)^(b) f(x) g(x) dx=

    Text Solution

    |

  8. Let (d)/(dx) f(x) = (e^(sin x))/(x) , x gt 0. If int(1)^(4) 3/x e^(s...

    Text Solution

    |

  9. Let f(x) be a function satisfying f'(x)=f(x) with f(0)=1andg(x) be a f...

    Text Solution

    |

  10. Let F(x)= f(x) + f(1/x), where f(x)= int(1)^(x) (ln t)/(1+t)dt, then F...

    Text Solution

    |

  11. If f(x)=(1+ tan x) [1+ tan(pi/4 - x)] and g(x) is a function with doma...

    Text Solution

    |

  12. y= int(x)^(x^(2)) sqrt(5-t^(2))dt then the value of (dy)/(dx) at x= sq...

    Text Solution

    |

  13. If int(e)^(x) t f(t)dt= sin x - x cos x - (x^(2))/(2) for all x in R -...

    Text Solution

    |

  14. If int(0)^(b-c) f(x+c) dx = k int(b)^(c) f (x) dx then k=

    Text Solution

    |

  15. If f is every where continuous function then 1/c int(ac)^(bc) f(x/c) d...

    Text Solution

    |

  16. If int(0)^(pi) f(tan x) dx= lambda then int(0)^(2pi) f(tan x) dx=

    Text Solution

    |

  17. int(0)^(2) (2x-2)/(2x-x^(2))dx=

    Text Solution

    |

  18. Evaluate (i) int(0)^(pi/2) (sin^(2)x)/(sin x + cos x ) dx

    Text Solution

    |

  19. int(0)^(1) Tan^(-1) ((2x-1)/(1+x-x^(2)))dx=

    Text Solution

    |

  20. int(0)^(oo) (ln x)/(x^(2)+a^(2))dx=

    Text Solution

    |