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    Int from 0 to 1 xK^2(x)dx/square root(1-x^2) Let me post a specific picture
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    Let me see who can post a unbelievable result. I was astonished by this question.
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    (Original post by ElliotWalton)
    Let me see who can post a unbelievable result. I was astonished by this question.
    What is your question? If you want the integral evaluated, you'd better tell people what K(x) is! Do you mean the generalized hyperfactorial function?
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    Hope you're not over-exaggerating the amazing-ness of the result like in the last thread tho
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    Wolfram gives numeric answer 8.47396694469461436, the inverse symbolic calculator suggests

    5/4*Pi+7/3*ln(2)+8/3*ln(3)

    1/2*ln(3)^(2/5)*exp(8/9*Pi)

    but I confess neither seems terribly likely to me.

    Much as I hate to say it, this is the kind of question you'd be better posting on https://math.stackexchange.com
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    (Original post by RDKGames)
    Hope you're not over-exaggerating the amazing-ness of the result like in the last thread tho
    I personally think that The amazing-ness in this question is exactly the result of calculation.
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    (Original post by Gregorius)
    What is your question? If you want the integral evaluated, you'd better tell people what K(x) is! Do you mean the generalized hyperfactorial function?
    FWIW, I was assuming K = complete elliptic integral of first kind (seemed to tally with the \sqrt{1-x^2} term as well).
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    (Original post by DFranklin)
    FWIW, I was assuming K = complete elliptic integral of first kind (seemed to tally with the \sqrt{1-x^2} term as well).
    Yeah K(x) is exactly the complete elliptic integral of first kind.
 
 
 
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