Home
Class 12
MATHS
The value of the integral int(1//e)^(e) ...

The value of the integral `int_(1//e)^(e) |logx|dx`, is

A

`2((e-1)/(e ))`

B

`2((1-e)/(e ))`

C

`2-(1)/(e )`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRALS

    OBJECTIVE RD SHARMA|Exercise Chapter Test 1|60 Videos

  • DEFINITE INTEGRALS

    OBJECTIVE RD SHARMA|Exercise Chapter Test 2|60 Videos

  • DEFINITE INTEGRALS

    OBJECTIVE RD SHARMA|Exercise Section II - Assertion Reason Type|12 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    OBJECTIVE RD SHARMA|Exercise Exercise|86 Videos

  • DERIVATIVE AS A RATE MEASURER

    OBJECTIVE RD SHARMA|Exercise Exercise|26 Videos

Similar Questions

Explore conceptually related problems

The value of integral int_(1)^(e) (log x)^(3)dx , is

The value of the integral int_(e^(-1))^(e^(2)) |(log_(e)x)/(x)|dx is

The value of the integral int_(0)^(1) e^(x^(2))dx lies in the integral

If the value of the integral int_(1)^(2)e^(x^(2))dx is alpha, then the value of int_(e)^(e^(4))sqrt(ln x)dx is:

The value of the integral int_(1)^(2)e^(x)(log_(e)x+(x+1)/(x))dx is

The value of the integral int_(-1)^(1)log_(e)(sqrt(1-x)+sqrt(1+x))dx is equal to :

The value of the integral int _(e ^(-1))^(e ^(2))|(ln x )/(x)|dx is:

The value of the integral int_(-2)^(2)(1+2sin x)e^(|x|)dx is equal to

OBJECTIVE RD SHARMA-DEFINITE INTEGRALS-Exercise
  1. The value of the integral int(0)^(100pi) sqrt(1-cos2x)" d"xis

    Text Solution

    |

  2. The value of the integral int(-1//2)^(1//2) {((x+1)/(x-1))^(2)+((x-...

    Text Solution

    |

  3. The value of the integral int(1//e)^(e) |logx|dx, is

    Text Solution

    |

  4. The value of int(0)^(pi//2) (sin 8x log cot x)/(cos 2x)dx, is

    Text Solution

    |

  5. The value of int(0)^(pi//2) x^(10) sin x" dx", is then the value of m...

    Text Solution

    |

  6. The value of int(0)^(pi//2) (1)/(1+tan^(3)x)dx is

    Text Solution

    |

  7. The value of int0^pi(sin(n+1/2)x)/(sin(x/2)dx is

    Text Solution

    |

  8. If (d)/(dx)f(x)=g(x) for a le x le b then, int(a)^(b) f(x) g(x) dx eq...

    Text Solution

    |

  9. For any integer n,the integral int(0)^(3) e^(sin^(2)x)cos^(3)(2n+1)x" ...

    Text Solution

    |

  10. The value of the integral int(0)^(3) sqrt(3+x^(3))dxlies in the inter...

    Text Solution

    |

  11. The value of the integral int(0)^(1) (1)/((1+x^(2))^(3//2))dx is

    Text Solution

    |

  12. If I=int(0)^(2pi) sin^(2) x" dx", then

    Text Solution

    |

  13. If int(0)^(1) f(x)=M,int(0)^(1) g(x)dx=N, then which of the following ...

    Text Solution

    |

  14. The value of int( 0)^(pi//4) (pix-4x^(2))log(1+tanx)dx is

    Text Solution

    |

  15. The value of int(-pi//2)^(pi//2) sin{log(x+sqrt(x^(2)+1)}dx is

    Text Solution

    |

  16. The value of int(0)^(2pi) cos^(99)x dx, is

    Text Solution

    |

  17. If f(a+x)=f(x), then int(0)^(na) f(x)dx is equal to (n in N)

    Text Solution

    |

  18. If f(t) is a continuous function defined on [a,b] such that f(t) is an...

    Text Solution

    |

  19. If f(x) is an integrable function over every interval on the real line...

    Text Solution

    |

  20. If I(1)=int(3pi)^(0) f(cos^(2)x)dx and I(2)=int(pi)^(0) f(cos^(2)x) th...

    Text Solution

    |