Home
Class 12
MATHS
The value of (int0^n[x]dx)/(int0^n{x}dx ...

The value of `(int_0^n[x]dx)/(int_0^n{x}dx` is (where [x] and {x} denotes the integral part and fractional part functions of x and `x in N`)

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

Let I_1=int_0^n[x]dx" and I_2=int_0^n{x}dx , where [x] and {x} are integral and fractional parts of x and nne N-{1} . Then (I_1)/(I_2) is equal to

Find the value of int_(-1)^(1)[x^(2)+{x}]dx , where [.] and {.} denote the greatest function and fractional parts of x , respectiely.

The value of x satisfying int_0^(2[x+14]){x/2}dx=int_0^({x})[x+14]dx is equal to (where[.] and{.} denotes the greatest integer and fractional part of x

The value of int_0^1.5 [x^2] dx is : where [x] denotes greatest integer function.

Find the value of int_0^1x(1-x)dx

Solve 2[x]=x+{x},where [.] and {} denote the greatest integer function and the fractional part function, respectively.

If int_(0)^(x) [x] dx = int_(0)^([x]) xdx, x notin integer (where, [.] and {.} denotes the greatest integer and fractional parts respectively, then the value of 4{x} is equal to …

The value of int_(-1)^2abs([x]-{x})dx where [x] is the greatest integer less then or equal to x and {x} is the fractional part of x is

The value of the integral int_0^1e^(x^2)dx

Solve : 4{x}= x+ [x] (where [*] denotes the greatest integer function and {*} denotes the fractional part function.

CENGAGE PUBLICATION-INTEGRALS-All Questions
  1. If Sn=[1/(1+sqrt(n))+1/(2+sqrt(2n))+....+1/(n+sqrt(n^2))] then (lim)(n...

    Text Solution

    |

  2. The value of ("lim")(nvecoo)sum(r=1)^(4n)(sqrt(n))/(sqrt(r)(3sqrt(r)+s...

    Text Solution

    |

  3. The value of (int0^n[x]dx)/(int0^n{x}dx is (where [x] and {x} denotes ...

    Text Solution

    |

  4. Evaluate: int(-pi/4)^(npi-pi/4)|sinx+cosx|dx

    Text Solution

    |

  5. The value of int0^(pi/2)dx/(1+tan^3x) is

    Text Solution

    |

  6. Evaluate: int(-pi)^pi(1-x^2)sinxcos^2xdx

    Text Solution

    |

  7. Let f be a contiuous function on [a,b]. If F(x)=(int(a)^(x)f(t)dt-int(...

    Text Solution

    |

  8. Evaluate the following: int(-1)^(1)(sin x-x^(2))/(3-|x|)dx

    Text Solution

    |

  9. If int(a)^(b)|sinx|dx=8 and int(0)^(a+b)|cosx|dx=9, then find the valu...

    Text Solution

    |

  10. Evaluate: int(-pi/2)^(pi/2)sqrt(cos^(2n-1)x-cos^(2n+1)x)dx ,w h e r en...

    Text Solution

    |

  11. f(x) is a continuous and bijective function on Rdot If AAt in R , the...

    Text Solution

    |

  12. Evaluate: int(-1/2)^(1/2)cosxlog((1-x)/(1+x))dx

    Text Solution

    |

  13. If int0^xf(t) dt=x+intx^1 tf(t)dt, then the value of f(1)

    Text Solution

    |

  14. Evaluate: int0^x[cost]dt where x in (2npi,(4n+1pi/2),n in N ,a n d[do...

    Text Solution

    |

  15. Suppose f is a real-valued differentiable function defined on [1,oo] ...

    Text Solution

    |

  16. Let f be a real valued function satisfying f(x)+f(x+4)=f(x+2)+f(x+6) ...

    Text Solution

    |

  17. If x int(0)^(x)sin(f(t))dx=(x+2)int(0)^(1)tsin(f(t))dt, where xgt0, th...

    Text Solution

    |

  18. Evaluate: int0^2(dx)/((17+8x-4x^2)[e^(6(1-x))+1]

    Text Solution

    |

  19. I f f(x)=int((pi^2)/(16))^(x^2)(sinxsinsqrt(theta))/(1+cos^2sqrt(theta...

    Text Solution

    |

  20. Find the equation of tangent to the y = F(x) at x = 1, where F(x) = u...

    Text Solution

    |