Created
June 5, 2011 05:29
-
-
Save asmeurer/1008684 to your computer and use it in GitHub Desktop.
64-bit Python risch_integrate(logarithms)
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
In [1]: for i in range(100): | |
...: print risch_integrate(Add(*(log(x**j) for j in range(i))), x) | |
...: | |
0 | |
0 | |
-x + x*log(x) | |
-3*x + 3*x*log(x**2)/2 | |
-6*x + 3*x*log(x**2) | |
-10*x + 5*x*log(x**4)/2 | |
-15*x + 15*x*log(x**4)/4 | |
-21*x + 21*x*log(x**4)/4 | |
-28*x + 7*x*log(x**4) | |
-36*x + 9*x*log(x**4) | |
-45*x + 45*x*log(x**4)/4 | |
-55*x + 55*x*log(x**4)/4 | |
-66*x + 33*x*log(x**4)/2 | |
-78*x + 39*x*log(x**4)/2 | |
-91*x + 91*x*log(x**4)/4 | |
-105*x + 105*x*log(x**4)/4 | |
-120*x + 30*x*log(x**4) | |
-136*x + 34*x*log(x**4) | |
-153*x + 153*x*log(x**4)/4 | |
-171*x + 171*x*log(x**4)/4 | |
-190*x + 95*x*log(x**4)/2 | |
-210*x + 105*x*log(x**4)/2 | |
-231*x + 231*x*log(x**4)/4 | |
-253*x + 253*x*log(x**13)/13 | |
-276*x + 276*x*log(x**13)/13 | |
-300*x + 300*x*log(x**13)/13 | |
-325*x + 25*x*log(x**13) | |
-351*x + 27*x*log(x**13) | |
-378*x + 378*x*log(x**13)/13 | |
-406*x + 406*x*log(x**13)/13 | |
-435*x + 435*x*log(x**13)/13 | |
-465*x + 465*x*log(x**13)/13 | |
-496*x + 496*x*log(x**13)/13 | |
-528*x + 528*x*log(x**13)/13 | |
-561*x + 561*x*log(x**13)/13 | |
-595*x + 595*x*log(x**13)/13 | |
-630*x + 630*x*log(x**13)/13 | |
-666*x + 37*x*log(x**36)/2 | |
-703*x + 703*x*log(x**36)/36 | |
-741*x + 247*x*log(x**36)/12 | |
-780*x + 65*x*log(x**36)/3 | |
-820*x + 205*x*log(x**36)/9 | |
-861*x + 287*x*log(x**36)/12 | |
-903*x + 301*x*log(x**36)/12 | |
-946*x + 86*x*log(x**11) | |
-990*x + 90*x*log(x**11) | |
-1035*x + 1035*x*log(x**11)/11 | |
-1081*x + 1081*x*log(x**11)/11 | |
-1128*x + 1128*x*log(x**11)/11 | |
-1176*x + 1176*x*log(x**11)/11 | |
-1225*x + 1225*x*log(x**11)/11 | |
-1275*x + 1275*x*log(x**11)/11 | |
-1326*x + 1326*x*log(x**11)/11 | |
-1378*x + 1378*x*log(x**11)/11 | |
-1431*x + 1431*x*log(x**11)/11 | |
-1485*x + 135*x*log(x**11) | |
-1540*x + 140*x*log(x**11) | |
-1596*x + 1596*x*log(x**11)/11 | |
-1653*x + 1653*x*log(x**11)/11 | |
-1711*x + 1711*x*log(x**11)/11 | |
-1770*x + 1770*x*log(x**11)/11 | |
-1830*x + 1830*x*log(x**11)/11 | |
-1891*x + 1891*x*log(x**11)/11 | |
-1953*x + 1953*x*log(x**11)/11 | |
-2016*x + 672*x*log(x**51)/17 | |
-2080*x + 2080*x*log(x**51)/51 | |
-2145*x + 715*x*log(x**51)/17 | |
-2211*x + 737*x*log(x**51)/17 | |
-2278*x + 134*x*log(x**51)/3 | |
-2346*x + 46*x*log(x**51) | |
-2415*x + 805*x*log(x**51)/17 | |
-2485*x + 2485*x*log(x**51)/51 | |
-2556*x + 852*x*log(x**51)/17 | |
-2628*x + 876*x*log(x**51)/17 | |
-2701*x + 2701*x*log(x**51)/51 | |
-2775*x + 925*x*log(x**51)/17 | |
-2850*x + 950*x*log(x**51)/17 | |
-2926*x + 2926*x*log(x**51)/51 | |
-3003*x + 39*x*log(x**77) | |
-3081*x + 3081*x*log(x**77)/77 | |
-3160*x + 3160*x*log(x**77)/77 | |
-3240*x + 3240*x*log(x**77)/77 | |
-3321*x + 3321*x*log(x**77)/77 | |
-3403*x + 3403*x*log(x**77)/77 | |
-3486*x + 498*x*log(x**77)/11 | |
-3570*x + 510*x*log(x**77)/11 | |
-3655*x + 3655*x*log(x**77)/77 | |
-3741*x + 3741*x*log(x**11)/11 | |
-3828*x + 348*x*log(x**11) | |
-3916*x + 356*x*log(x**11) | |
-4005*x + 4005*x*log(x**11)/11 | |
-4095*x + 4095*x*log(x**11)/11 | |
-4186*x + 4186*x*log(x**11)/11 | |
-4278*x + 4278*x*log(x**11)/11 | |
-4371*x + 4371*x*log(x**11)/11 | |
-4465*x + 4465*x*log(x**11)/11 | |
-4560*x + 4560*x*log(x**11)/11 | |
-4656*x + 4656*x*log(x**11)/11 | |
-4753*x + 4753*x*log(x**11)/11 | |
-4851*x + 441*x*log(x**11) |
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment