Home
Class 12
MATHS
int(-1)^(2)[([x])/(1+x^(2))]dx, where [....

`int_(-1)^(2)[([x])/(1+x^(2))]dx`, where [.] denotes the greatest integer function, is equal to

Text Solution

Verified by Experts

The correct Answer is:
A, B, D
Promotional Banner

Topper's Solved these Questions

  • LIMITS

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|15 Videos

  • LIMITS

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|10 Videos

  • LIMITS

    ARIHANT MATHS|Exercise SOLVED EXAMPLES|1 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|8 Videos

  • LOGARITHM AND THEIR PROPERTIES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|4 Videos

Similar Questions

Explore conceptually related problems

The value of int_(-1)^(3){|x-2|+[x]} dx , where [.] denotes the greatest integer function, is equal to

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

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

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

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

int_(0)^(pi)[cos x] dx, [ ] denotes the greatest integer function , is equal to

Complete solution set of (cot^(-1)x)+2(tan^(-1)x)=0, where [] denotes the greatest integer function, is equal to

lim_(xto0)[(-2x)/(tanx)] , where [.] denotes greatest integer function is

ARIHANT MATHS-LIMITS-Exercise (Single Option Correct Type Questions)
  1. lim(nto oo)sum(r=1)^(n)r/(n^(2)+n+4) equals a. 0 b. 1/3 c. 1/2 d.1

    Text Solution

    |

  2. Let U = {x : x ∈ N, x ≤ 9}; A = {x : x is an even number, 0 < x < 10};...

    Text Solution

    |

  3. int(-1)^(2)[([x])/(1+x^(2))]dx, where [.] denotes the greatest integer...

    Text Solution

    |

  4. If alpha and beta are roots of x^(2)-(sqrt(1-cos 2 theta))x+theta=0, w...

    Text Solution

    |

  5. If f(x)=1/3(f(x+1)+5/(f(x+2))) and f(x)gt0,AA x epsilonR, then lim(xto...

    Text Solution

    |

  6. Let f:(1,2)vecR satisfies the inequality (cos(2x-4)-33)/2ltf(x)lt(x^2|...

    Text Solution

    |

  7. Let f(x) be polynomial of degree 4 with roots 1,2,3,4 and leading coef...

    Text Solution

    |

  8. lim x→π/4 (4sqrt(2)-(cosx+sinx)^5)/(1−sin2x) is equal to

    Text Solution

    |

  9. If lim(xto oo)(n.3^(n))/(n.(x-1)^(n)+n.3^(n+1)-3^(n))=1/3, the number ...

    Text Solution

    |

  10. Let f(x)=underset(ntooo)lim(1)/(((3)/(pi)tan^(-1)2x)^(2n)+5). Then the...

    Text Solution

    |

  11. Find the integral value of n for which ("lim")(xvec0)(cos^2x-cosx-e^x...

    Text Solution

    |

  12. Find dy/dx if x^7-e^x=siny

    Text Solution

    |

  13. underset(xto(pi)/(2))(lim)([(x)/(2)])/(log(e)(sinx))([.] denotes great...

    Text Solution

    |

  14. If tn=1/4(n+2)(n+3) for n=1,2,3, , then 1/(t1)+1/(t2)+1/(t3)++1/(t(20...

    Text Solution

    |

  15. If f(x+ y) = f(x) + f(y) for x, y in R and f(1) = 1, then find the val...

    Text Solution

    |

  16. Evaluate underset(ntooo)limn^(-n^(2))[(n+2^(0))(n+2^(-1))(n+2^(-2))......

    Text Solution

    |

  17. If f(x)={("sin"[x])/([x]),for[x]!=0, 0,for[x]=0,where [x] denotes the...

    Text Solution

    |

  18. Evaluate: lim(xto2)(x^3-6x^2+11 x-6)/(x^2-6x+8)

    Text Solution

    |

  19. Let r^(th) term t (r) of a series if given by t (c ) = (r )/(1+r^(2) +...

    Text Solution

    |

  20. The value of lim(ntooo)sum(r=1)^(n)cot^(-1)((r^(3)-r+1/r)/2) is

    Text Solution

    |