Fractional Part - A Difficult Integral
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06-29-2014, 11:36 AM
Post: #1
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Fractional Part - A Difficult Integral
Here some results for integrating FP from zero to 5.8:
Maple V Release 3.0 evalf(int(frac(x), x=0..5.8)) 2.820001887 Maxima 5.23.2 quad_qags(x-floor(x), x, 0, 5.8) [2.720000001263673,1.5265947617137954*10^- 8,3171,0] PARI 2.4.2 intnum(x=0,5.8,frac(x)) 2.770657207613055496607250297 WolframAlpha 2011-5-28 integrate(frac(x),x,0,5.8) 2.82 CASIO fx-9860GII (& fx-5800P) ∫_0^5.8▒〖Frac X〗 dx 2.72 HP 42S Gauss-Lagrange 16 point: Divisions: 1 2.32 2 2.71441362769 3 2.95110930932 4 2.84122268726 5 2.72066778956 6 2.8405122545 HP 50G Inbuilt integration programme: ∫_0^5.8▒〖FP(X)〗 dX FIX 6 2.820116 in 1,232.15 seconds Gauss-Lobatto 4 point formula with 7 and 13 point Kronrod extensions: FIX 2 2.80 3 2.819 4 2.8199 5 2.82000 6 2.820000 in 12.34 seconds SHARP EL-9650 ∫_0^5.8▒〖fpart X〗 dxX 2.419454779 TI-84 Plus 2.53MP fnInt(fPart(X),X,0,5.8) 2.720014333 TI-86 (tol = 1E-5) fnInt(fPart x,x,0,5.8) 2.71992436738 TI-89 (& voyage 200 & 92(plus)) ∫_0^5.8▒〖fPart (x)〗 dx 2.72000000036 |
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Messages In This Thread |
Fractional Part - A Difficult Integral - Gerald H - 06-29-2014 11:36 AM
RE: Fractional Part - A Difficult Integral - Massimo Gnerucci - 06-29-2014, 11:55 AM
RE: Fractional Part - A Difficult Integral - pito - 06-29-2014, 05:18 PM
RE: Fractional Part - A Difficult Integral - kakima - 06-29-2014, 06:17 PM
RE: Fractional Part - A Difficult Integral - Gerald H - 06-29-2014, 07:57 PM
RE: Fractional Part - A Difficult Integral - Thomas Klemm - 06-29-2014, 06:47 PM
RE: Fractional Part - A Difficult Integral - pito - 06-29-2014, 09:40 PM
RE: Fractional Part - A Difficult Integral - ttw - 06-30-2014, 01:17 PM
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