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Math Help - integration

  1. #1
    ayemana
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    integration

    hello..it would be of great help if someon could tel me how to integrate

    (x+1)/(x-1)

    thank u so much
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  2. #2
    MHF Contributor
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    Quote Originally Posted by ayemana View Post
    hello..it would be of great help if someon could tel me how to integrate

    (x+1)/(x-1)

    thank u so much
    In cases like that one, just divide, by long division.

    (x+1) divided by (x-1) equals 1, remainder 2.
    Or, 1 +2/(x-1)

    So,
    INT.[(x+1)/(x-1)]dx
    = INT.[1 +2/(x-1)]dx
    = x +2ln|x-1| +C
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  3. #3
    Math Engineering Student
    Krizalid's Avatar
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    Quote Originally Posted by ayemana View Post
    (x+1)/(x-1)
    \frac{x+1}{x-1}=\frac{x-1+2}{x-1}=1+\frac2{x-1}

    Integrate.
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