Home
Class 12
MATHS
The value of 15 int0^sqrt3 (xdx)/(sqrt(1...

The value of `15 int_0^sqrt3 (xdx)/(sqrt(1+x^2+sqrt((1+x^2)^3)))` is equal to

A

`30sqrt3`

B

`20sqrt3`

C

`10sqrt3`

D

`30(sqrt3-sqrt2)`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • JEE MAIN 2021

    JEE MAINS PREVIOUS YEAR|Exercise Mathematic section B|10 Videos

  • JEE MAIN 2023

    JEE MAINS PREVIOUS YEAR|Exercise Question|435 Videos

Similar Questions

Explore conceptually related problems

int(x)/(sqrt(1+x^(2)+sqrt((1+x^(2))^(3))))dx is equal to

int(x)/(sqrt(1+x^(2)+sqrt(1+x^(2))^(3)))dx is equal to

int _(0)^(1) (xdx)/([x + sqrt(1-x^(2))]sqrt(1-x^(2))) is equal to

int(x^(2)dx)/(sqrt(1+x^(3)+sqrt((1+x^(3))^(3)))) is equal to

int(dx)/((1+sqrt(x))*sqrt(x-x^(2))) is equal to

int(sqrt(x))/(1+4sqrt(x^(3)))dx is equal to

JEE MAINS PREVIOUS YEAR-JEE MAIN 2022-Question
  1. Let x^2+y^2-x+2y=11/4 is a circle with RQ and centre C. If P is any po...

    Text Solution

    |

  2. Let A relation R on number defined by xRy hArr 3x+alpha y is multiple ...

    Text Solution

    |

  3. The value of 15 int0^sqrt3 (xdx)/(sqrt(1+x^2+sqrt((1+x^2)^3))) is equa...

    Text Solution

    |

  4. If P(B//A)=5/7 , P(A//B)=7/9 and P(AnnB)=1/9 given S1 equiv P(A' uu B)...

    Text Solution

    |

  5. Absolute maximum value of f(x)=tan^(-1)(sinx-cosx) is

    Text Solution

    |

  6. A class have B boys and G girls , 3 boys and 2 girls selected at rando...

    Text Solution

    |

  7. The number of distinct real values of lamda for which (x-1)/1=(y-2)/2=...

    Text Solution

    |

  8. If tangent drawn from (2,0) to the parabola x=-2y^2 are also tangents ...

    Text Solution

    |

  9. Let f(x)=lim(x to oo)(cos 2pi x -x^(2n) sin (x-1))/(1+x^(2n+1)-x^(2n))...

    Text Solution

    |

  10. Let f(x)=ax^2+bx+c and f(1)=3 , f(-2)=lamda , f(3)=4 then value of lam...

    Text Solution

    |

  11. The value of 60 int0^(pi/2) (sin 6x)/(sinx) dx is

    Text Solution

    |

  12. If 1+(2+^49C1+^49C2+. . .+^49C49)("^50C2+^50C4+^50C6+. . .+^50C50)=m.2...

    Text Solution

    |

  13. The differential equation of all the circles passing through the point...

    Text Solution

    |

  14. If tangent drawn from (2,0) to the parabola x=-2y^2 are also tangents ...

    Text Solution

    |

  15. If alpha & beta are the roots of equation x^2-sqrt3 x+sqrt6=0 and 1+1/...

    Text Solution

    |

  16. If 6/(3^12)+10/(3^11)+20/3^10+40/3^9+. . .+10240/3^1=2^m.n then the va...

    Text Solution

    |

  17. If OAB is a triangle park and OP is a vertical tower such that AB=16, ...

    Text Solution

    |

  18. If curve y=f(x) satisfying differential equation dy/dx+(1/(x^2-1))y=((...

    Text Solution

    |

  19. If A and B are two 3xx3 order matrices such that A is symmetric and B ...

    Text Solution

    |

  20. If OA and OB are tangents to circle (x-2)^2+y^2=1 from origin (O) then...

    Text Solution

    |