Home
Class 12
MATHS
int dx/sqrt(x+xsqrtx) equals...

`int dx/sqrt(x+xsqrtx)` equals

A

`logsqrt(x+sqrtxsqrtx)+c`

B

`sqrt(1+sqrtx)+c`

C

`4sqrt(1+sqrtx)+c`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TIPS

    FIITJEE|Exercise ASSERTION REASONING|8 Videos

  • TIPS

    FIITJEE|Exercise MCQ (MULTIPLE CORRECT)|37 Videos

  • TIPS

    FIITJEE|Exercise ASSIGNMENT (SECTION (I): MCQ (SINGLE CORRECT)|125 Videos

  • TEST PAPERS

    FIITJEE|Exercise MATHEMATICS|328 Videos

  • TRIGNOMETRIC RATIOS AND IDENTITIES

    FIITJEE|Exercise All Questions|1 Videos

Similar Questions

Explore conceptually related problems

int(dx)/(sqrt(x+x sqrt(x))) equals

int(dx)/(sqrt(x-x^(2))) equal is :

int x sqrt(x+2)dx is equal to

int sqrt(sec x-1)dx equal to

int(a^(sqrt(x)))/(sqrt(x))dx equals

int(sqrt(x)dx)/(1+x) equals

int (dx) / (sin x-cos x + sqrt (2)) equals

int(1)/(sin x cos x +sqrt(2))dx equals

The integral int sqrt(cot x)e^(sqrt(sin x))sqrt(cos x)dx equals

FIITJEE-TIPS-OBJECTIVE
  1. Let f be a positive function. Let I1=int(1-k)^k xf([x(1-x)]dx , I2=i...

    Text Solution

    |

  2. The vaue of int(0)^(1)xlogx dx must be

    Text Solution

    |

  3. int dx/sqrt(x+xsqrtx) equals

    Text Solution

    |

  4. If g be a differentiable function stisfying intg(x)dx=g(x)+c, then lim...

    Text Solution

    |

  5. Let f:R->R be a function such that f((x+y)/3)=(f(x)+f(y))/3 ,f(0) = ...

    Text Solution

    |

  6. Let f(x) = [ n + p sin x], x in (0,pi), n in Z, p a prime number and [...

    Text Solution

    |

  7. The minimum value of (a^(2))/(cos^(2)x)+(b^(2))/(sin^(2)x)

    Text Solution

    |

  8. The maximum value of (logx)/xd is

    Text Solution

    |

  9. The area bounded by the tangents to the curve |y|=|e^(x)| at the point...

    Text Solution

    |

  10. The orthogonal trajectories of the circle x^(2)+y^(2)-ay=0, (where a i...

    Text Solution

    |

  11. The value of int(0)^(pi//2)(tanx log(tanx))/(sec^(2)x)dx is

    Text Solution

    |

  12. lim(xrarrpi//2)(cos((pi)/(2)sin^(2)x))/(cot((pi)/(2)sin^(2)x)) equals

    Text Solution

    |

  13. The domain of the function sqrt(cos (tan^(-1).(1)/((1-|1-|x||))) is

    Text Solution

    |

  14. If area bounded by y=logx, y = x and x^(2)+y^(2)+2xy-k^(2)=0 is sq. un...

    Text Solution

    |

  15. The value of the parameter a(a>=1) for which the area of the figure bo...

    Text Solution

    |

  16. Solution of equation ylog((e )/(x))(dx)/(dy)+xlogx=x^(2) is

    Text Solution

    |

  17. solution of the differential equation (x^2sin^3 y-y^2 cos x) dx + (x^3...

    Text Solution

    |

  18. Let P(x) be a polynomial of degree n with real coefficients and is non...

    Text Solution

    |

  19. The inequality int(0)^(1)(dx)/(1+x^(n))gt1-(1)/(n)(n in N) is true for

    Text Solution

    |

  20. Solution of the differential equation {1/x-(y^2)/((x-y)^2)}dx+{(x^2)/(...

    Text Solution

    |