06-29-2014, 11:36 AM
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
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