Home
Class 12
MATHS
The value of 9int(0)^(9)[sqrt((10x)/(x+1...

The value of `9int_(0)^(9)[sqrt((10x)/(x+1))]dx` ,where "[t]" denotes the greatest integer less than or equal to "t" ,is "

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAIN 2024

    JEE MAINS PREVIOUS YEAR|Exercise Questions|18 Videos
  • JEE MAINS

    JEE MAINS PREVIOUS YEAR|Exercise Physics|30 Videos

Similar Questions

Explore conceptually related problems

int_(0)^(15/2)[x-1]dx= where [x] denotes the greatest integer less than or equal to x

The value of int_(-1)^(1)x^(2)e^([x^(3)])dx , where [t] denotes the greatest integer le t , is :

The value of int_(-pi//2)^(pi//2)(dx)/([x] + [ sin x] +4) , where [t] denotes the greatest integer than or equal to t , is

lim_(xrarr oo) (log[x])/(x) , where [x] denotes the greatest integer less than or equal to x, is

Consider the integral I=int_(0)^(10)([x]e^([x]))/(e^(x-1))dx , where [x] denotes the greatest integer less than or equal to x. Then the value of I is equal to :

Let [x] denote the greatest integer less than or equal to x . Then, int_(1)^(-1)[x]dx=?

The value of int_(0)^(2) x^([x^(2) +1]) dx , where [x] is the greatest integer less than or equal to x is

The value of int_(0)^(2pi)[sin 2x(1+cos 3x)]dx , where [t] denotes the greatest integer function, is:

The value of int_(0)^((pi)/(3))[sqrt(3)tan x]dx( where [.] denotes the greatest integer function.) is:

The value of int_(0)^(100)[tan^(-1)x]dx is,(where [^(*)] denotes greatest integer function)

JEE MAINS PREVIOUS YEAR-JEE MAIN 2024 ACTUAL PAPER-Question
  1. Let (alpha, beta, gamma) be the foot of perpendicular from the point (...

    Text Solution

    |

  2. If d(1) is the shortest distance between the lines x+1=2y=-12z,x=y+2=6...

    Text Solution

    |

  3. The value of 9int(0)^(9)[sqrt((10x)/(x+1))]dx ,where "[t]" denotes the...

    Text Solution

    |

  4. Let y=y(x) be the solution of the differential equation (1-x^(2))dy=[x...

    Text Solution

    |

  5. Let A={1,2,3,...,7} and let "P(A)" denote the power set of "A" .If the...

    Text Solution

    |

  6. If alpha = 1^2 + 4^2 + 8^2 + 13^2 +........ upto 10 terms and beta = s...

    Text Solution

    |

  7. Number of integral term in the expansion of (7^(1/2)+11^(1/6))^(824)

    Text Solution

    |

  8. If the function f(x)={[(1)/(|x|),,|x|ge2],[ax^(2)+2b,,|x|<2]]is differ...

    Text Solution

    |

  9. Let alpha,beta in N be roots of the equation x^(2)-70x+lambda=0 ,where...

    Text Solution

    |

  10. A group of "40" students appeared in an examination of "3" subjects - ...

    Text Solution

    |

  11. Let the latus ractum of the hyperbola (x^(2))/(9)-(y^(2))/(b^(2))=1 su...

    Text Solution

    |

  12. LetA=[[2, 1, 2], [6, 2, 11], [3, 3, 2]] and P=[[1, 2, 0], [5, 0, 2], [...

    Text Solution

    |

  13. Number of ways of arranging 8 identical books into 4 identical shelves...

    Text Solution

    |

  14. If p (3, 2, 3), Q (4, 6, 2), R (7, 3, 2) are the vertices of DeltaPQR,...

    Text Solution

    |

  15. If the mean and variance of five observations are (24)/5 and (194)/(25...

    Text Solution

    |

  16. The function f(x) = 2x + 3^(2/3), x in, has

    Text Solution

    |

  17. Let r and respectively be the modulus and amplitude of the complex num...

    Text Solution

    |

  18. The sum of the solutions x in of the equation frac{3 cos 2x + cos^3 2...

    Text Solution

    |

  19. Let vec (OA)= vec a, vec (OB) = 12 vec a + 4 vec b and vec (OC) = vec ...

    Text Solution

    |

  20. If log a, log b, and log c are in A.P. and also log a - log 2b, log 2b...

    Text Solution

    |