Brain Teaser  Area enclosed by a parabola and a line

09152015, 04:18 PM
(This post was last modified: 09152015 04:27 PM by Gerson W. Barbosa.)
Post: #18




RE: Brain Teaser  Area enclosed by a parabola and a line
(09152015 02:59 PM)fhub Wrote: Well, I get a different result: I think I can blame it on my Simpson 3/8 integrator in Pascal (too many iterations required!). Your result is indeed a minimum, as checked in WA: solve 0.608258988304(1.24590156402x) = x^4 to 12 digits integrate 0.608258988304(1.24590156402x)  x^4, x=1.09201722595,0.74350488189 to 12 digits solve 0.608234446071(1.24595886588x) = x^4 to 12 digits integrate 0.608234446071(1.24595886588x)  x^4, x=1.09201232966,0.74351488189 to 12 digits solve 0.608209905131(1.24601617162x) = x^4 to 12 digits integrate 0.608209905131(1.24601617162x)  x^4, x=1.09200743451,0.74352488189 to 12 digits u = 0.743504881896 Area = 1.22954355433 u = 0.743514881896 Area = 1.22954355289 u = 0.743524881896 Area = 1.22954355432 Gerson. 

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