Home
Class 12
MATHS
int(dx)/(x+sqrt(x-1))=...

`int(dx)/(x+sqrt(x-1))`=

A

`log_e|x+sqrt(x-1)|-1/sqrt3 tan^-1((2sqrt(x-1)+1)/sqrt3)+c`

B

`1/sqrt3log_e|x+sqrt(x-1)|- tan^-1((2sqrt(x-1)+1)/sqrt3)+c`

C

`2/sqrt3log_e|x+sqrt(x-1)|- tan^-1((2sqrt(x-1)+1)/sqrt3)+c`

D

`log_e|x+sqrt(x-1)|-2/sqrt3 tan^-1((2sqrt(x-1)+1)/sqrt3)+c`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • AP EAMCET ENGINEERING ENTRANCE EXAM ONLINE QUESTION PAPER 2019 (SOLVED)

    TS EAMCET PREVIOUS YEAR PAPERS|Exercise Mathematics|80 Videos

  • AP EAMCET ENGINEERING ENTRANCE EXAM QUESTION PAPER 2017 (SOLVED)

    TS EAMCET PREVIOUS YEAR PAPERS|Exercise Mathematics|80 Videos

Similar Questions

Explore conceptually related problems

Evaluate the following integrals int(dx)/((x+2)sqrt(x+1))

Evaluate the integerals. int (dx)/((x+2) sqrt(x+1))on (-1, oo).

Evalute the following integrals int (1)/(x sqrt(x)) dx

int_(0)^(1)(dx)/(x+sqrt(x))=

int (x)/(sqrt(x^(2)+1))dx=

int (x+1)/(sqrt(2x+1))dx=

TS EAMCET PREVIOUS YEAR PAPERS-AP EAMCET ENGINEERING ENTRANCE EXAM ONLINE QUESTION PAPER 2019 (SOLVED)-MATHEMATICS
  1. The plane 3x+4y+6z+7=0 is rotated about the line r=(hati+2hatj-3hatk)+...

    Text Solution

    |

  2. IF lim(x toinfty){(x^3+1)/(x^2+1)-(alphax+beta)} exist and equal to 2,...

    Text Solution

    |

  3. For k gt0,sum(x=0)^inftyk^x/(x!)lim(n toinfty)(n!)/((n-x)!)(1-k/n)^(n-...

    Text Solution

    |

  4. Let f:R to R be the function defined by f(x)={{:(5,if,xlt1),(a+bx,if...

    Text Solution

    |

  5. Let [x] denote the greatest integer less than or equal to x, Then the ...

    Text Solution

    |

  6. If sqrt(1-x^6)+sqrt(1-y^6)=a(x^3-y^3), then y^2(dy)/(dx)=

    Text Solution

    |

  7. If y=f(x) is twice differentiable function such that at a point P,(dy)...

    Text Solution

    |

  8. The time T of oscillation of a simple pendulum of length L is governed...

    Text Solution

    |

  9. Let A,G,H and S respectively denote the arithmetic mean, geometric mea...

    Text Solution

    |

  10. For m gt1, n gt 1 the value of c for which the Rolle's theorem is appl...

    Text Solution

    |

  11. If the function f:[-1,1]to R defined by

    Text Solution

    |

  12. int ((x-1)dx)/((x+1)sqrt(x^(3)+x^(2)+x))=

    Text Solution

    |

  13. If I(x)=intx^2(logx)^2dx and I(I)=0 then I(x)

    Text Solution

    |

  14. int(x^5dx)/((x^2+x+1)(x^6+1)(x^4-x^3+x-1))=

    Text Solution

    |

  15. int(dx)/(x+sqrt(x-1))=

    Text Solution

    |

  16. int(log2)^(t)(dx)/(sqrt(e^(x)-1))=(pi)/(6), then t=

    Text Solution

    |

  17. int0^1(loge(1+x))/(1+x^2)dx=

    Text Solution

    |

  18. IF the area of the circle x^2+y^2=2 is divided into two parts by the p...

    Text Solution

    |

  19. If c is a parameter, then the differential equation of the family of c...

    Text Solution

    |

  20. IF f(x), f'(x) f''(x) are positive functions and f(0)=1, f')0)=2 then ...

    Text Solution

    |