Home
Class 12
MATHS
Evaluate: int1^(e^6)[(logx)/3]dx ,w h e ...

Evaluate: `int_1^(e^6)[(logx)/3]dx ,w h e r e[dot]` denotes the greatest integer function.

Promotional Banner

Topper's Solved these Questions

  • INEQUALITIES INVOLVING MEANS

    CENGAGE PUBLICATION|Exercise Jee Advanced (Single|1 Videos

  • INTRODUCTION TO VECTORS

    CENGAGE PUBLICATION|Exercise TRUE OR FALSE|1 Videos

Similar Questions

Explore conceptually related problems

Evaluate: int_(-5)^5x^2[x+1/2]dx(w h e r e[dot] denotes the greatest integer function).

Evaluate: int_0^((5pi)/(12))[tanx]dx , where [dot] denotes the greatest integer function.

Evaluate: int_0^2[x^2-x+1]dx ,w h e r e[dot] denotos the greatest integer function.

Evaluate: int_(-pi/2)^(2pi)[cot^(-1)x]dx , where [dot] denotes the greatest integer function

Evaluate: int_(-pi/2)^(2pi)[cot^(-1)x]dx , where [dot] denotes the greatest integer function

Evaluate: int_0^(2pi)[sinx]dx ,where [dot] denotes the greatest integer function.

Find the value of : int_0^(10)e^(2x-[2x])d(x-[x])w h e r e[dot] denotes the greatest integer function).

The integral int_0^(1. 5)[x^2]dx ,w h e r e[dot] denotoes the greatest integer function, equals ...........

int_(1)^(e)(logx)^(2)dx

The value of int_0^(2pi)[2sinx]dx ,w h e r e[dot] represents the greatest integral function, is (a) (-5pi)/3 (b) -pi (c) (5pi)/3 (d) -2pi

CENGAGE PUBLICATION-INTEGRALS-All Questions
  1. Evaluate: int1^a xdota^(-[(log)a x])dx ,(a >1)dot

    Text Solution

    |

  2. int0^oo(sin^2x)/(x^2)dx must be same as:

    Text Solution

    |

  3. Evaluate: int1^(e^6)[(logx)/3]dx ,w h e r e[dot] denotes the greatest...

    Text Solution

    |

  4. If int(0)^(oo) (sinx)/x dx=(pi)/2, then int(0)^(oo) (sin^(3)x)/x dx i...

    Text Solution

    |

  5. Find the value of int(-1)^(1)[x^(2)+{x}]dx, where [.] and {.} denote t...

    Text Solution

    |

  6. int0^x[cost]dt ,w h e r ex in (2npi,2npi+pi/2),n in N ,and [dot] den...

    Text Solution

    |

  7. Prove that int0^x[cot^(-1)x]dx ,w h e r e[dot] denotes the greatest in...

    Text Solution

    |

  8. Evaluate: int(-pi/2)^(2pi)[cot^(-1)x]dx , where [dot] denotes the grea...

    Text Solution

    |

  9. f(x) is continuous function for all real values of x and satisfies int...

    Text Solution

    |

  10. Prove that int0^1xe^xdx=1

    Text Solution

    |

  11. I1=int0^(pi/2)ln(sinx)dx ,I2=int(-pi/4)^(pi/4)ln(sinx+cosx)dxdot Then ...

    Text Solution

    |

  12. Prove that int0^oo[n e^(-x)]dx=ln((n^n)/(n !)),w h e r en is a na...

    Text Solution

    |

  13. For x in R and a continuous function f, let I1=int(sin^2t)^(1+cos^2t)...

    Text Solution

    |

  14. Evaluate of each of the following integrals int(pi//6)^(pi//3)(sqrt...

    Text Solution

    |

  15. Given a function f:[0,4]toR is differentiable ,then prove that for som...

    Text Solution

    |

  16. Evaluate: int0^(pi/2)log((4+3sinx)/(4+3cosx))dx

    Text Solution

    |

  17. The value of int0^1 4x^3 {d^2/(dx^2) (1 - x^2)^5 } dx is

    Text Solution

    |

  18. Evaluate: int(-pi)^(3pi)log(s e c theta-t a ntheta)d theta

    Text Solution

    |

  19. The value of the integral overset(1)underset(0)int e^(x^(2))dx lies in...

    Text Solution

    |

  20. Let P(x) be a polynomial of least degree whose graph has three points ...

    Text Solution

    |