Home
Class 12
MATHS
If underset(1)overset(x)int(dt)/(|t|sqrt...

If `underset(1)overset(x)int(dt)/(|t|sqrt(t^(2)-t)) = (pi)/(6)`, then x can be equal to :

A

`2//sqrt(3)`

B

`sqrt(3)`

C

2

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • INTEGRAL CALCULUS - 2

    VMC MODULES ENGLISH|Exercise JEE Main (Archive)|64 Videos
  • INTEGRAL CALCULUS - 2

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|103 Videos
  • INTEGRAL CALCULUS - 2

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|103 Videos
  • FUNCTIONS

    VMC MODULES ENGLISH|Exercise JEE Main & Advanced|8 Videos
  • INTEGRAL CALCULUS-1

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE)|25 Videos

Similar Questions

Explore conceptually related problems

If int_(1)^(x) (dt)/(|t|sqrt(t^(2)-t)) = (pi)/(6) , then x can be equal to :

int(dt)/(sqrt(3t-2t^2))

int(dt)/( sqrt(t-1))

int(dt)/( sqrt(1-t)-t)

int(1)/(sqrt(t))dt

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

int(1)/(sqrt(t)+1)dt

(1)/(3)int(t*dt)/(sqrt(1+t))

(-1)/(2)int(dt)/(sqrt(1-t)sqrt(t))

int sqrt(t)dt

VMC MODULES ENGLISH-INTEGRAL CALCULUS - 2 -Level - 1
  1. lim(n to oo)(1)/(n)[tan.(pi)/(4n)+tan.(2pi)/(4n)+…..+tan.(n pi)/(4n)]

    Text Solution

    |

  2. If (d)/(dx)f(x)=g(x) for a le x le b then, overset(b)underset(a)int f...

    Text Solution

    |

  3. If underset(1)overset(x)int(dt)/(|t|sqrt(t^(2)-t)) = (pi)/(6), then x ...

    Text Solution

    |

  4. Iff(x)=e^(g(x))a n dg(x)=int2^x(tdt)/(1+t^4), then find the value of ...

    Text Solution

    |

  5. If x=int(0)^(y)(dt)/(sqrt(1+9t^(2)))and (d^(2)y)/(dx^(2))=a^(2)y then ...

    Text Solution

    |

  6. f(x)=int0^x f(t) dt=x+intx^1 tf(t)dt, then the value of f(1) is

    Text Solution

    |

  7. If f(x)=cosx-int0^x(x-t)f(t)dt ,t h e nf^(prime)(x)+f(x) is equal to -...

    Text Solution

    |

  8. If f(-x)+f(x)=0 then inta^x f(t) dt is

    Text Solution

    |

  9. If int0^af(2a-x)dx=m and int0^af(x)dx=n, then int0^(2a) f(x) dx is equ...

    Text Solution

    |

  10. If f(y)=e^(y),g(y)=y,ygt0 and F(t)=int(0)^(1)f(t-y)g(y)dt then

    Text Solution

    |

  11. lim(x to 0)(int(0)^(x^(2))(tan^(-1)t)dt)/(int(0)^(x^(2))sin sqrt(t)dt)...

    Text Solution

    |

  12. Find the points of maxima /minima of int(0)^(x^(2))(t^(2)-5t+4)/(2+e^(...

    Text Solution

    |

  13. Let f(x)=underset(0)overset(x)int |xx-2|dx, ge 0. Then, f'(x) is

    Text Solution

    |

  14. If x=int(c^(2))^(tan t)tan^(-1)z dz, y= int(n)^(sqrt(t))(cos(z^(2)))/(...

    Text Solution

    |

  15. Area of the ellipse x^2/a^2+y^2/b^2=1is piab

    Text Solution

    |

  16. Prove that the area in the first quadrant enclosed by the axis, the ...

    Text Solution

    |

  17. Find the area bounded by the curve x^2=4y and the straight line x=4y-2...

    Text Solution

    |

  18. Find the area of the figure bounded by the parabolas x=-2y^2, x=1-3y^2...

    Text Solution

    |

  19. Find the area bounded by the parabola y=2-x^2 and the straight line y+...

    Text Solution

    |

  20. Calculate the area enclosed by the parabola y^(2)=x+3y and the Y-axis...

    Text Solution

    |