Home
Class 12
MATHS
Evaluate int (1)/((x^(2) - 4)sqrt(x + 1...

Evaluate `int (1)/((x^(2) - 4)sqrt(x + 1))dx`

Text Solution

Verified by Experts

The correct Answer is:
`(1)/(4sqrt(3)) log abs((sqrt(x + 1) - sqrt(3))/(sqrt(x + 1) + sqrt(3)))- (1)/(2)tan^(-1)((sqrt(x + 1))/(1)) + C`
Promotional Banner

Topper's Solved these Questions

  • VERY SIMILAR TEST 8

    ARIHANT PRAKASHAN|Exercise Section B|45 Videos

  • VERY SIMILAR TEST 7

    ARIHANT PRAKASHAN|Exercise Section C (30 MARKS)|32 Videos

  • VERY SIMILAR TEST 9

    ARIHANT PRAKASHAN|Exercise Section C|24 Videos

Similar Questions

Explore conceptually related problems

Evaluate int (dx)/(x^4-1)

Evaluate : int dx/(x(x^4+1))

Evaluate int((1+x)^(2))/(sqrt(x))dx .

Evaluate int (dx)/((x+1)sqrt(1-x^2))

Evaluate int(1)/(sqrt(8+3x-x^(2)))dx .

ARIHANT PRAKASHAN-VERY SIMILAR TEST 8-Section C
  1. Find the area bounded by the curve y = sin x between x = 0 and x=2pi.

    Text Solution

    |

  2. Find the particular solution of the differential equation (1 - y^(...

    Text Solution

    |

  3. Evaluate int (1)/((x^(2) - 4)sqrt(x + 1))dx

    Text Solution

    |

  4. Answer any three questions Find the coordinates of the point, where ...

    Text Solution

    |

  5. Find the equation of the two lines through the origin which intersect ...

    Text Solution

    |

  6. If a, b, c gt 0 such that a + b + c = abc find the value of tan^(-1)a ...

    Text Solution

    |

  7. Solve the following LPP graphically. Maximize Z = 10x + 6y Sub...

    Text Solution

    |

  8. Show the f:R-{-1)rightarrowR-{1} given by f(x)=frac[x][x-1] is inverti...

    Text Solution

    |

  9. Show the following system of equations is consistent 2x - y + 3z = 5, ...

    Text Solution

    |

  10. If A and B are two independent events such that P(barAcapB)=2/15 and P...

    Text Solution

    |

  11. Find the inverse of the matrix A = |(1, 2, -2),(-1, 3, 0),(0, -2, 1)| ...

    Text Solution

    |

  12. If y=[x+sqrt(x^(2)+a^(2))]^(n), then prove that (dy)/(dx)=(ny)/(sqrt(x...

    Text Solution

    |

  13. Find the area bounded by the curve y = sin x between x = 0 and x=2pi.

    Text Solution

    |

  14. Find the particular solution of the differential equation (1 - y^(...

    Text Solution

    |

  15. Evaluate int (1)/((x^(2) - 4)sqrt(x + 1))dx

    Text Solution

    |

  16. Answer any three questions Find the coordinates of the point, where ...

    Text Solution

    |

  17. Find the equation of the two lines through the origin which intersect ...

    Text Solution

    |

  18. If a, b, c gt 0 such that a + b + c = abc find the value of tan^(-1)a ...

    Text Solution

    |

  19. Solve the following LPP graphically. Maximize Z = 10x + 6y Sub...

    Text Solution

    |

  20. Show the f:R-{-1)rightarrowR-{1} given by f(x)=frac[x][x-1] is inverti...

    Text Solution

    |