Home
Class 12
MATHS
The value of int0^1 dx/(7^[[1/x]]) is ( ...

The value of `int_0^1 dx/(7^[[1/x]])` is ( where [.] denotes the greatest integer function)

A

`1-6ln(6/7)`

B

`1+6ln(6/7)`

C

`1-7ln(6/7)`

D

`1+7ln(6/7)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAIN 2021

    JEE MAINS PREVIOUS YEAR|Exercise Mathematic section B|10 Videos

  • JEE MAIN 2023

    JEE MAINS PREVIOUS YEAR|Exercise Question|435 Videos

Similar Questions

Explore conceptually related problems

The value of int_(0)^(2)[x+[x+[x]]] dx (where, [.] denotes the greatest integer function )is equal to

int_(0)^(5)e^([x])dx is (where [.] denotes the greatest integer function)

The value of int_(0)^(2)[x^(2)-x+1] dx (where , [.] denotes the greatest integer function ) is equal to

The value of int_(0)^(2017)sin(x-[x])dx : (where [ . ] denotes the greatest integer function) is equal to

The value of int_(0)^(15)[x]^(3)dx equals, where [. ] denote the greatest integer function

the value of int_(0)^([x]) dx (where , [.] denotes the greatest integer function)

The value of int_(1)^(10pi)([sec^(-1)x]) dx (where ,[.] denotes the greatest integer function ) is equal to

The value of int_(0)^(infty)[2e^(-x)] dx (where ,[.] denotes the greatest integer function of x) is equal to S

The value of int_(0)^(10pi)[tan^(-1)x]dx (where, [.] denotes the greatest integer functionof x) is equal to

The value of int_(e)[log_(pi)x]dx is (where [.] denotes the greatest integer function)

JEE MAINS PREVIOUS YEAR-JEE MAIN 2022-Question
  1. If y(x)=(x^x)^(x) , x gt 0 (d^2y)/(dx^2)+20 at x=1

    Text Solution

    |

  2. Let vec a and vec b be two vectors along diagonals of parallelogram ha...

    Text Solution

    |

  3. The value of int0^1 dx/(7^[[1/x]]) is ( where [.] denotes the greatest...

    Text Solution

    |

  4. A matrix 'A' of order 3xx3 and abs(A)=2 , then abs((detA)(adj(adjA))^3...

    Text Solution

    |

  5. Number of real solution of equation 4x^7+3x^3+5x+1=0 are

    Text Solution

    |

  6. Area of region S:y^2 le 8x , y ge sqrt2 , x le 1

    Text Solution

    |

  7. What is the probability of seclecting three digit number with at least...

    Text Solution

    |

  8. Consider 15 observation and their mean was 8 and standard deviation wa...

    Text Solution

    |

  9. How many 5 digit multiples of 6 can be formed using digit {1,2,3,5,6,7...

    Text Solution

    |

  10. Two poles AB , PQ are 160m apart and C is the mid-point of BQ on the g...

    Text Solution

    |

  11. Eccentricity of hyperbola x^2/a^2-y^2/b^2=1 is sqrt5/2 & length of lat...

    Text Solution

    |

  12. sum(k=1)^31 .^31Ck.^31C(k-1) - sum(k=1) ^30 .^30Ck.^30C(k-1) is equal ...

    Text Solution

    |

  13. Consider the circle x^2+y^2-2x-4y=0. If O represents origin , point P ...

    Text Solution

    |

  14. Find acute angle between two planes P1 and P2 passing through the inte...

    Text Solution

    |

  15. veca=2hati+hatj+3hatk , vecb=3hati+3hatj+hatk & vecc=c1hati+c2hatk+c3h...

    Text Solution

    |

  16. x((x)/(sqrt(x^2-y^2))+e^(y/x))dy/dx=y(x/(sqrt(x^2-y^2))+e^(y/x))+x Let...

    Text Solution

    |

  17. If in a given GP series a1 xx a3 xx a5 xx a7 = 1/1296 ,and a2+a4=7/36 ...

    Text Solution

    |

  18. If int0^1 [-8x^2+6x+1]dx=t where [.] denotes G.I.F then t equals to

    Text Solution

    |

  19. Let f:NN to NN be defined as f(x)={(2n,if n=2,4,6 . . .),(n-1,if n=3,...

    Text Solution

    |

  20. S1 : p to (e vv q) S2 : (~p vv q) vv (~p vv e) Which of the followi...

    Text Solution

    |