Brain Teaser  Area enclosed by a parabola and a line

09212015, 06:40 PM
(This post was last modified: 09212015 06:53 PM by Gerson W. Barbosa.)
Post: #31




RE: Brain Teaser  Area enclosed by a parabola and a line
(09212015 05:53 PM)fhub Wrote: 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. Hello Franz, Thanks again for pointing out yet another wrong result of mine. Thanks also for providing solutions to this plentiful of cases. Since my results for y=x^6 are correct within the accuracy I stated, I surely have made a mistake in the function submitted to the numerical integration and solver for case y=x^8 (I have yet to find it out). Yes, there's no need to use a numerical integrator as the functions are quite easy to integrate [ integral (x^n)dx = x^(n+1)/(n+1) + k, n ≠ 1 ], only the left integration limits being the complicated parts. I've found that Derive 4.11 is installed in my HP200LX and tried some numerical integrations (very slow on the 200LX, BTW). But I haven't explored it much as it is not so intuitive and didn't find a manual. Best regards, Gerson. 

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