Home
Class 12
MATHS
((lim)(xvecoo)int0x(tan^(-1)t)^2dt)/(sqr...

`((lim)_(xvecoo)int0x(tan^(-1)t)^2dt)/(sqrt(x^2+1))h a st h ev a l u e` zero (b) `pi/4` (c) 1 (d) `(pi^2)/4`

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

lim_(x to 0)(int_(0)^(x^(2))(tan^(-1)t)dt)/(int_(0)^(x^(2))sin sqrt(t)dt) is equal to :

("lim")_(xvecoo)"{"x+5")"tan^(-1)(x+5)-(x+1)tan^(-1)(x+1)} is equal to pi (b) 2pi (c) pi/2 (d) none of these

int_0^1 (tan^-1x)/xdx-1/2int_0^(pi/2) t/sint dt has the value (A) -1 (B) 1 (C) 2 (D) 0

The value of (lim)_(nvecoo)(tan^(-1)x))) is equal to -1 (b) pi/2 (c) -1/(sqrt(2)) (d) 1/(sqrt(2))

int_0^1d/(dx){sin^(-1)((2x)/(1+x^2))}dx is equal to 0 (b) pi (c) pi//2 (d) pi//4

lim_(x rarr oo)int_(0)^(x){(1)/(sqrt(1+t^(2)))-(1)/(1+t)}dt=

lim_(x rarr oo)int_(0)^(x){(1)/(sqrt(1+t^(2)))-(1)/(1+t)}dt=

If int_(ln2)^(x)(dt)/(sqrt(e^(t)-1))=(pi)/(6), then x=

int_(0)^((pi)/(3))(tan x)/(sqrt(2k sec x))dx=1-(1)/(sqrt(2)), then value of k is (a) 2 (b) 1 (b) 1 (d) (1)/(4)

f(x)=int_(0)^( pi)f(t)dt=x+int_(x)^(1)tf(t)dt, then the value of f(1) is (1)/(2)

RESONANCE DPP-JEE MAINS-All Questions
  1. n^(t h) terms of the series 1+4/5+7/(5^2)+(10)/(5^3)+ ......... will b...

    Text Solution

    |

  2. A five digits number of the form xyzyx is choosen, probability that xl...

    Text Solution

    |

  3. ((lim)(xvecoo)int0x(tan^(-1)t)^2dt)/(sqrt(x^2+1))h a st h ev a l u e ...

    Text Solution

    |

  4. The number of zeros at the end of 70!, is

    Text Solution

    |

  5. If all the letters of the word IIT-JEE are written at random in a row,...

    Text Solution

    |

  6. The mean deviation about median of variates 13, 14, 15,...., 99, 100 i...

    Text Solution

    |

  7. If a+b+c=0 and omega,omega^2 are imaginary cube roots of unity, then (...

    Text Solution

    |

  8. If the point Q is choosen such that PA, PQ and PB are in G.P, then ...

    Text Solution

    |

  9. If [.] is the greatest integer function and f(x)=[tan^2x], then (a) ("...

    Text Solution

    |

  10. sqrt(-1-sqrt(-1-sqrt(-1oo))) is equal to (where omega is the imaginary...

    Text Solution

    |

  11. lim(x->0)8/(x^8)(1-cos(x^2)/2-cos(x^2)/4+cos(x^2)/2cos(x^2)/4)

    Text Solution

    |

  12. If (1+x)^(15)=C0+C1x+C2x^2++C(15)x^(15), then find the value of C2+2C...

    Text Solution

    |

  13. If int0^ (pi/2) (dx)/(1+sinx+cosx)=In 2, then the value of int0^(pi/2...

    Text Solution

    |

  14. If y=y(x) and (2+sinx)/(y+1)((dy)/(dx))=-cosx ,y(0)=1, then y(pi/2) eq...

    Text Solution

    |

  15. There are six periods in each working day of a school. Find the number...

    Text Solution

    |

  16. The value of int0^oox^(2n+1)dote^(-x^2)dx is (n in W)

    Text Solution

    |

  17. The number of all possible selections of one or more questions from 10...

    Text Solution

    |

  18. overset(pi)underset(-ip)int [cos px-sin qx]^(2) dx where p,q are integ...

    Text Solution

    |

  19. A forecast forr Indian team is to be made of the results of five crick...

    Text Solution

    |

  20. Prove that sum(r=0)^n(-1)^r^n Cr[1/(2^r)+3/(2^(2r))+7/(2^(3r))+(15)/(...

    Text Solution

    |