Home
Class 12
MATHS
If I=int(3)^(4) (1)/(3sqrt(logx))dxthen...

If `I=int_(3)^(4) (1)/(3sqrt(logx))dx`then

A

`0.92 lt I lt 1`

B

`I gt 1`

C

`I lt 0.92`

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

I=int_(1)^(4)((1)/(x)+sqrt(x))dx

int_(0)^(7)(1)/(sqrt(4+3x))dx=

int_(0)^(1)(dx)/(3sqrt(x))

int_(4)^(9)(dx)/(sqrt(x^(3)))

int_(4)^(9)(dx)/(sqrt(x^(3)))

If I=int_(3)^(4)(1)/((log x)^((1)/(3)))dx, then

int(1)/(sqrt(3-4x))dx

int(1)/(sqrt(4x+3))dx

int_(3)^(4)sqrt((x-3)/(4-x))dx=

Let I=int_(0)^(1)(sin)/(sqrt(x))dx and J=int_(0)^(1)(cos x)/(sqrt(x))dx Then which one of the following is true? (1) I>(2)/(3) and j>2(2)I 2(4)I>(2)/(3) and j<2

OBJECTIVE RD SHARMA-DEFINITE INTEGRALS-Exercise
  1. The value of the integral int(0)^(pi//2)(f(x))/(f(x)+f(pi/(2)-x))dx is

    Text Solution

    |

  2. The value of int(pi//2)^0 (1)/(9 cosx+12 sinx)dx is

    Text Solution

    |

  3. If I=int(3)^(4) (1)/(3sqrt(logx))dxthen

    Text Solution

    |

  4. If I=int(0)^(1//2) (1)/(sqrt(1-x^(2n)))dxthen which one of the follow...

    Text Solution

    |

  5. If I=int(0)^(1//2) (sin^(2)n x)/(sin^(2)x)dxthen which one of the foll...

    Text Solution

    |

  6. For any integer n, the integral int0^pie^(cosx)cos^3(2n+1)xdx has the ...

    Text Solution

    |

  7. The value of the integral int(0)^(2a) (f(x))/(f(x)+f(2a-x))dx is equal...

    Text Solution

    |

  8. If int(0)^(oo) (log(1+x^(2)))/(1+x^(2))dx=kint(0)^(oo) (log(1+x))/(1+x...

    Text Solution

    |

  9. If int(log2)^(x) (1)/(sqrt(e^(x)-1))dx=(pi)/(6)then x is equal to

    Text Solution

    |

  10. The value of the integral overset(pi)underset(0)int log(1+cos x)dx is

    Text Solution

    |

  11. The integral int(0)^(pi) (1)/(a^(2)-2 a cos x+1)dx (a lt 1) is

    Text Solution

    |

  12. The integral int(0)^(pi//2) f(sin 2 x)sin x dx is equal to

    Text Solution

    |

  13. int(0)^(pi) k(pix-x^(2))^(100)sin2x" dx" is equal to

    Text Solution

    |

  14. The value of the integral int(2)^(4) (sqrt(x^(2)-4))/(x^(4))dx is

    Text Solution

    |

  15. The value of the integral int(0)^(pi)(1)/(a^(2)-2a cos x+1)dx (a gt1),...

    Text Solution

    |

  16. If f(x) and g(x) are continuous functions satisfying (x)=f(a-x) and g(...

    Text Solution

    |

  17. int0^(pi//2) x(sqrt(tan x)+sqrt(cot x))dx equals

    Text Solution

    |

  18. The value of the integral int(1//3)^(1)((x-x^(3))^(1//3))/(x^(4))dx ...

    Text Solution

    |

  19. The value of the integral int(0)^(100pi) sqrt(1-cos2x)" d"xis

    Text Solution

    |

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

    Text Solution

    |