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Math Help - integral problem

  1. #1
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    integral problem

    Thanks!
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  2. #2
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by gralla55 View Post
    Thanks!
    Well, for the first one...
    \frac{x^2 + 1}{x^2 - 1} = 1 + \frac{2}{x^2 - 1}

    Does that give you any ideas?

    -Dan
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    I allready solved that one, but I've got no idea on the 2nd.
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    Forum Admin topsquark's Avatar
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    Quote Originally Posted by gralla55 View Post
    I allready solved that one, but I've got no idea on the 2nd.
    Well, the form of the integrand just screams "trig substitution" :
    tan( \theta ) = \frac{x^2 + 1}{x^2 - 1}

    The problem is that this attack is very messy. So messy that I decided to consult the "oracle" over on Mathematica's online integrator, which gave me a really messy answer. So messy that I am wondering if there isn't some typo in the problem?

    -Dan
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  5. #5
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    Actually, you're right. The fraction is supposed to be 2x/x^2-1 not x^2+1/x^2-1!
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