π + e

Discussion in 'Physics & Math' started by camilus, Sep 27, 2007.

  1. camilus

    camilus the villain with x-ray glasses Registered Senior Member

    Messages:
    895
    \(\int^{6}_{0} \sqrt{1-n^2x^2}dx=\pi+e\)

    can anyone solve this for n??
     
    camilus, Sep 27, 2007
    #1

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  3. D H

    D H Some other guy Valued Senior Member

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    No problem.

    \(3\sqrt{1-36n^2}+\frac{\sin^{-1}(6n)}{2n}=\pi+e\)

    There ya go.
     
    D H, Sep 27, 2007
    #2

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  5. camilus

    camilus the villain with x-ray glasses Registered Senior Member

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    Thats the easy part D, try solving for the exact value of n. I obtained

    \(n \approx {10000000 \over 162011025}\)
     
    camilus, Sep 27, 2007
    #3

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  7. camilus

    camilus the villain with x-ray glasses Registered Senior Member

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    Actually, I'm starting to believe n may be transcedental. I dont know how but maybe that could imply e+pi is transcedental?
     
    camilus, Sep 27, 2007
    #4

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