Home
Class 12
MATHS
The solution for x of the equation int(s...

The solution for x of the equation `int_(sqrt(2))^x(dt)/(tsqrt(t^2-1))=pi/2` is: (A) 2 (B) `pi` (C) `(sqrt3)/2` (D) `2sqrt(2)`

Promotional Banner

Topper's Solved these Questions

  • HYPERBOLA

    JEE MAINS PREVIOUS YEAR|Exercise All Questions|4 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    JEE MAINS PREVIOUS YEAR|Exercise All Questions|3 Videos

Similar Questions

Explore conceptually related problems

The solution for x of the equation int_(sqrt(2))^(x)(1)/(tsqrt(t^(2)-1))dt=(pi)/(2) , is

The solution for x of the equation int _(sqrt2) ^(x) (dt)/( tsqrt(t ^(2) -1))= (pi)/(12) is

The solution for x of the equation int_(sqrt(2))^(x)(dt)/(sqrt(t^(2)-1))=(pi)/(2) is pi(b)(sqrt(3))/(2) (c) 2sqrt(2) (d) none of these

The sum of solutions of the equation 2 sin^(-1) sqrt(x^(2)+x+1)+cos^(-1) sqrt(x^(2)+x)=(3pi)/(2) is :

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

The number of solutions of the equation sin((pi x)/(2sqrt(3)))=x^(2)-2sqrt(3)x+4

Knowledge Check

  • The solution for x of the equation int_(sqrt(2))^(x)(1)/(tsqrt(t^(2)-1))dt=(pi)/(2) , is

    A
    `(sqrt(3))/(2)`
    B
    `2sqrt(2)`
    C
    `2`
    D
    `-sqrt(2)`

  • The solution for x of the equation int _(sqrt2) ^(x) (dt)/( tsqrt(t ^(2) -1))= (pi)/(12) is

    A
    2
    B
    `pi`
    C
    `sqrt3//2`
    D
    `2sqrt2`

  • The solution of the equation int_(sqrt2)^(4) (dx)/(xsqrt((x^2 - 1))) = pi/12 is

    A
    `2`
    B
    `sqrt(2)`
    C
    `2sqrt(3)`
    D
    `1`
    • JEE MAINS PREVIOUS YEAR-INTEGRALS-All Questions
    1. The solution for x of the equation int(sqrt(2))^x(dt)/(tsqrt(t^2-1))=p...

      Text Solution

      |

    2. Let F(x)""=""f(x)""+""f(1/x),"w h e r e"f(x)=intt^x(logt)/(1+t)dtdot ...

      Text Solution

      |

    3. int(dx)/(cosx+sqrt(3)sinx) equals: (1) 1/2logtan(x/2+pi/(12))+c (...

      Text Solution

      |

    4. The value of sqrt(2)int(sin"x"dx)/(sin(x-pi/4)) is: (1) x+log|cos(x-pi...

      Text Solution

      |

    5. Let I=int0^1(sin)/(sqrt(x))dx"and"J=int0^1(cosx)/(sqrt(x))dx Then w...

      Text Solution

      |

    6. Let p(x) be a function defined on R such that p '(x)""=""p '(1-x) , fo...

      Text Solution

      |

    7. The value of int0^1(8log(1+x))/(1+x^2)dx is: (1) pilog2 (2) pi/8lo...

      Text Solution

      |

    8. If g(x)""=int0xcos4t"dt" , then g(x""+pi) equals: (1) (g(x)/(g(pi) (2...

      Text Solution

      |

    9. If the integral int(5tanx)/(tanx-2)dx=x+a"ln"|sinx-2cosx|+k then a i...

      Text Solution

      |

    10. If intf(x)dx=psi(x) , then intx^5f(x^3")"dx is equal to

      Text Solution

      |

    11. The integral int(1+x-1/x)e^(x+1/x)dx is equal to (1) (x-1)e^(x+1/x)+C...

      Text Solution

      |

    12. The integral int0^pisqrt(1+4sin^2(x/2)-4sin(x/2)dx) equal (1) pi-4 ...

      Text Solution

      |

    13. The integral int2^4(logx^2)/(logx^2+log(36-12 x+x^2)dx is equal to:...

      Text Solution

      |

    14. The integral int(dx)/(x^4 - 1)^(1/4) equal:

      Text Solution

      |

    15. The integral int(2x^(12)+5x^9)/((x^5+x^3+1)^3)dx is equal to: (1) (-x^...

      Text Solution

      |

    16. Let In=inttan^n xdx ,(n >1) If I4+I6=atan^5x+b x^5+C , Where ...

      Text Solution

      |

    17. The Integral int(pi/4)^((3pi)/4)(dx)/(1+cosx) is equal to:

      Text Solution

      |