Brain Teaser  Area enclosed by a parabola and a line

09212015, 05:53 PM
(This post was last modified: 09212015 09:00 PM by fhub.)
Post: #30




RE: Brain Teaser  Area enclosed by a parabola and a line
(09182015 05:51 PM)Gerson W. Barbosa Wrote: y=x^4Hi Gerson, since your Area result for x^8 looked rather illogical for me (IMO the area should continuously decrease for higher exponents n), I've written a small program (in TurboPascal) for this problem. The left intersection point is of course calculated numerically (no exact value possible for n>4), but the integral is calculated exactly (i.e. no numerical method), and the results really confirm my assumption of continuously decreasing areas: in fact for n>inf the results are: u>1 and A>0 Here's the list for n=2..20: Code:
Code:
Franz 

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