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Math Help - Please help me with this elliptic integral

  1. #1
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    Please help me with this elliptic integral

    I am trying to integrate the function
    1/SQRT[u(au-b)(au-b)-4u]
    between 0 and 1 with no success even though I have tried several transformations.

    I would appreciate if anybody has an opinion.

    Regards
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  2. #2
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    Quote Originally Posted by oguzkan View Post
    I am trying to integrate the function
    1/SQRT[u(au-b)(au-b)-4u]
    between 0 and 1 with no success even though I have tried several transformations.

    I would appreciate if anybody has an opinion.

    Regards
    Just for clarification, is it

    \int_0^1 \frac{du}{\sqrt{u(au-b)^2-4u}}

    and are a and b arbitrary constants?
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  3. #3
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    Hi Danny,

    Yes. That is the form and yes a and b can be treated as arbitrary constants independent of u.

    Thank you for the quick reply.

    Regards
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