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Jun 9, 2016 at 21:59 comment added J. M.'s missing motivation Yes, since your goal is to maximize the function, the symbolic form isn't very helpful, since you'll end up with a nonlinear transcendental equation to solve anyway.
Jun 9, 2016 at 21:49 comment added larry @J.M., thanks, I didn't know that... Anyway, seems the symbolic form is way too complex, so I'll refer to the numerical method offered by MarcoB. Thanks to you all!
Jun 9, 2016 at 18:27 vote accept larry
Jun 9, 2016 at 10:38 history edited J. M.'s missing motivation
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Jun 9, 2016 at 0:47 history edited m_goldberg CC BY-SA 3.0
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Jun 8, 2016 at 23:15 comment added J. M.'s missing motivation "It's really out of my expectation" - any integral involving the square root of a quartic polynomial is considered an elliptic integral, so that's why you get the functions you saw.
Jun 8, 2016 at 20:43 answer added MarcoB timeline score: 2
Jun 8, 2016 at 20:28 history edited MarcoB CC BY-SA 3.0
Formatted code
Jun 8, 2016 at 19:54 history asked larry CC BY-SA 3.0