Home
Class 12
MATHS
Evalute the following integrals int (3...

Evalute the following integrals
`int (3x - 2)/((x - 1)(x +2)(x-3))`dx

Text Solution

Verified by Experts

The correct Answer is:
`- (1)/(6) log | x- 1|- (8)/(15) log |x + 2| + (7)/(10) log | x- 3| + c`
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRALS

    AAKASH SERIES|Exercise EXERCISE - 1.4 ( LONG ANSWER QUESTIONS )|36 Videos

  • INDEFINITE INTEGRALS

    AAKASH SERIES|Exercise EXERCISE - 1.5( SHORT ANSWER QUESTIONS )|2 Videos

  • INDEFINITE INTEGRALS

    AAKASH SERIES|Exercise EXERCISE - 1.2(SHORT ANSWER QUESTIONS )|29 Videos

  • HYPERBOLA

    AAKASH SERIES|Exercise Exercise|6 Videos

  • LOGARITHMIC SERIES

    AAKASH SERIES|Exercise EXERCISE - III|8 Videos

Similar Questions

Explore conceptually related problems

Evalute the following integrals int (3x - 4) (x - 2) dx

Evalute the following integrals int (x - 1)/((x - 2)(x - 3)) dx

Evalute the following integrals int (sqrt(3x -2)) dx

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

Evalute the following integrals int (3x + 1)/((x + 2)^(2)) dx

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

Evalute the following integrals int (7x -4)/((x -1)^(2)(x+2)) dx

Evalute the following integrals int (x^(5))/(x^(3) - 1) dx

Evalute the following integrals int (x)/(x^(2) + 1) dx

AAKASH SERIES-INDEFINITE INTEGRALS -EXERCISE - 1.3(SHORT ANSWER QUESTIONS )
  1. Evalute the following integrals int (dx)/(6x^(2) - 5x + 1)

    Text Solution

    |

  2. Evaluate the integerals. int (dx)/(x(x+1) (x+2))

    Text Solution

    |

  3. Evalute the following integrals int (3x - 2)/((x - 1)(x +2)(x-3))dx

    Text Solution

    |

  4. Evalute the following integrals int (1)/((x -a)(x -b)(x-c))dx

    Text Solution

    |

  5. int (1)/((x^(2)+a^(2))(x^(2)+b^(2)))dx=

    Text Solution

    |

  6. Evaluate the integerals. int (x^(2))/((x+1) (x+2)^(2))dx

    Text Solution

    |

  7. Evalute the following integrals int (7x -4)/((x -1)^(2)(x+2)) dx

    Text Solution

    |

  8. Evalute the following integrals int (2x^(2) + x + 1)/((x+3)(x-2)^(2)...

    Text Solution

    |

  9. Evalute the following integrals int (x+ 3)/((x-1)(x^(2)+1)) dx

    Text Solution

    |

  10. Evalute the following integrals int (1)/((1 -x)(x^(2)+4)) dx

    Text Solution

    |

  11. Evalute the following integrals int (2x + 3)/((x + 3)(x^(2)+ 4)) dx

    Text Solution

    |

  12. Evalute the following integrals int (1)/((x+ 1)^(2)(x^(2) + 1)) dx

    Text Solution

    |

  13. Find int (2x^(2) -5x +1)/(x^(2)(x^(2) -1))dx.

    Text Solution

    |

  14. Find int (3x-5)/(x (x^(2)+2x+4))dx.

    Text Solution

    |

  15. Evaluate the following integral int (2x + 1)/(x(x^(2) + 4)^(2)) dx

    Text Solution

    |

  16. Evaluate the integerals. int (dx )/(e ^(x) +e^(2x))

    Text Solution

    |

  17. Evalute the following integrals int (1)/(e^(x)-1)dx

    Text Solution

    |

  18. Evalute the following integrals int (e^(x))/(2e^(2x) + 3e^(x)-2) dx

    Text Solution

    |

  19. Evaluate the integerals. int (sin x cos x)/(cos ^(2)x +3 cos x+2)d...

    Text Solution

    |

  20. Evalute the following integrals int (cos x)/(sin^(2) x + 4 sin x + 5...

    Text Solution

    |