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Thread: integration

  1. November 4th 2008, 12:00 AM #1
    jvignacio
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    integration

    <br /> \int \frac {1}{x^2-1} dx<br />

    any ideas? cheers
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  2. November 4th 2008, 12:13 AM #2
    Moo
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    Quote Originally Posted by jvignacio View Post
    <br /> \int \frac {1}{x^2-1} dx<br />

    any ideas? cheers
    x^2-1=(x-1)(x+1)

    \frac{1}{x^2-1}=\frac 12 \left(\frac{1}{x-1}-\frac{1}{x+1}\right)
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  3. November 4th 2008, 12:25 AM #3
    toraj58
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    Lightbulb

    \int \frac {1}{x^2-1} dx = -\int \frac {1}{1-x^2} dx

    = - arctanh (x)

    or

    = - arccoth (x)
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