Home
Class 12
MATHS
Evaluate the following integrals: int(x^...

Evaluate the following integrals: `int(x^(3)+x+1)/(x^(2)-1)dx`

Text Solution

Verified by Experts

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

Topper's Solved these Questions

  • INTEGRALS

    BETTER CHOICE PUBLICATION|Exercise ASSIGNMENT (SECTION IX MOST IMPORTANT QUESTIONS FOR PRACTICE)|14 Videos

  • INTEGRALS

    BETTER CHOICE PUBLICATION|Exercise ASSIGNMENT (SECTION X MOST IMPORTANT QUESTIONS FOR PRACTICE)|12 Videos

  • INTEGRALS

    BETTER CHOICE PUBLICATION|Exercise ASSIGNMENT (SECTION VII MOST IMPORTANT QUESTIONS FOR PRACTICE)|16 Videos

  • DIFFERENTIAL EQUATIONS

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARD.S QUESTIONS FOR PRACTICE|50 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARD.S QUESTIONS FOR PRACTICE (MCQ)|48 Videos

Similar Questions

Explore conceptually related problems

Evaluate the following integrals: int(x^3-1)/(x^2) dx

Evaluate the following integrals: int 1/(x-x^3)dx

Find the following integrals: int (x^(3) -1)/x^(2) dx

Evaluate the following integrals: int(x^2)/(x^2-1)dx

Evaluate the following integrals : int(1)/(x)dx

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

BETTER CHOICE PUBLICATION-INTEGRALS-ASSIGNMENT (SECTION VIII MOST IMPORTANT QUESTIONS FOR PRACTICE)
  1. Evaluate the following integrals: int (12x^(2)-2x-9)/((4x^(2)-1)(x+3))...

    Text Solution

    |

  2. Evaluate the following integrals: int (x^(2)+1)/(x^(2)-5x+6)dx

    Text Solution

    |

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

    Text Solution

    |

  4. Evaluate the following integrals: int (2x)/((x^(2)+1)(x^(2))dx

    Text Solution

    |

  5. Evaluate the following integrals: int (sinx)/((1-cosx)(2-cosx))dx

    Text Solution

    |

  6. Evaluate the following integrals: int (sin2x)/((1+sinx)(2-sinx))dx

    Text Solution

    |

  7. Evaluate the following integrals: int 1/(sinx-sin2x)dx

    Text Solution

    |

  8. Evaluate the following integrals: int (x^(2))/((x^(2)+1)(x^(2)+4))dx

    Text Solution

    |

  9. Evaluate the following integrals: int (x^(2)+1)/((x^(2)+4)(x^(2)+25))d...

    Text Solution

    |

  10. Evaluate the following integrals: int 1/(x(x^(4)+1))dx

    Text Solution

    |

  11. Evaluate the following integrals: int 1/(x(x^(3)+8))dx

    Text Solution

    |

  12. Evaluate the following integrals: int 1/(x(x^(7)-1))dx

    Text Solution

    |

  13. Evaluate the following integrals: int 1/(e^(x)-1)dx

    Text Solution

    |

  14. Evaluate the following integrals: int (3x-2)/((x+1)(x+3))dx

    Text Solution

    |

  15. Evaluate the following integrals: int (3x+1)/((x+1)^(2)(x+3))dx

    Text Solution

    |

  16. Evaluate the following integrals: int (3x-2)/((x+2)^(2))dx

    Text Solution

    |

  17. Evaluate the following integrals: int (3x+5)/(x^(3)-x^(2)-x+1)dx

    Text Solution

    |

  18. Evaluate the following integrals: int (5x)/((x+1)(x^(2)+9))dx

    Text Solution

    |

  19. Evaluate the following integrals: int 5/((x+2)(x^(2)+1))dx

    Text Solution

    |

  20. Evaluate the following integrals: int 2/((1-x)(1+x^(2)))dx

    Text Solution

    |