3.18.8 \(\int \frac {-478590418467834594293840-47676770628055685775360 x+69931982822434036162560 x^2-42944775086917313740800 x^3+5269564078649052917760 x^4+5370248695124695449600 x^5-2540552850628977623040 x^6+581300746103480647680 x^7+35766029437092495360 x^8-60238123722237542400 x^9+18071437116671262720 x^{10}-3285715839394775040 x^{11}+273809653282897920 x^{12}+(-95718083693566918858768-21454546782625058598912 x+48952387975703825313792 x^2-40797536332571448053760 x^3+6323476894378863501312 x^4+7786860607930808401920 x^5-4318939846069261959168 x^6+1133536454901787262976 x^7+78685264761603489792 x^8-147583403119481978880 x^9+48792880215012409344 x^{10}-9692861726214586368 x^{11}+876190890505273344 x^{12}) \log (x)+(-2383838531402784288768 x+11363947208645530876416 x^2-14493861591834593387520 x^3+3029999345223205427712 x^4+4698967608234108518400 x^5-3143934152653359808512 x^6+966412490397036576768 x^7+76896963289748865024 x^8-162642934050041364480 x^9+59861635448973557760 x^{10}-13101791909586665472 x^{11}+1293750611761692672 x^{12}) \log ^2(x)+(874149785280425452032 x^2-2281441176492482292480 x^3+724565060814244776192 x^4+1510382445503820595200 x^5-1270276425314488811520 x^6+470490291377504649216 x^7+43813386060438306816 x^8-106169693060443668480 x^9+44049127971886202880 x^{10}-10729915788023562240 x^{11}+1167113647118352384 x^{12}) \log ^3(x)+(-134202422146616605440 x^3+86453785665336024432 x^4+272707941549300940800 x^5-307645071755852759040 x^6+143054480486403440640 x^7+16038828825696165888 x^8-45460958996626145280 x^9+21601014678521118720 x^{10}-5929690303907758080 x^{11}+717680770909470720 x^{12}) \log ^4(x)+(4116846936444572592 x^4+26221917456663552000 x^5-44658155577462497280 x^6+27816148983467335680 x^7+3911909469681991680 x^8-13341803183792455680 x^9+7412112879884697600 x^{10}-2329521190820904960 x^{11}+317661980566487040 x^{12}) \log ^5(x)+(1048876698266542080 x^5-3597462532628923392 x^6+3377675233706747904 x^7+635685288823323648 x^8-2717774722624389120 x^9+1815967655571750912 x^{10}-667090159189622784 x^{11}+104122538074570752 x^{12}) \log ^6(x)+(-124050432159618048 x^6+234166560320005632 x^7+66362749932105216 x^8-379429587898859520 x^9+317661980566487040 x^{10}-140300708083531776 x^{11}+25589437323411456 x^{12}) \log ^7(x)+(7095956373333504 x^7+4038522610999824 x^8-34744279124459520 x^9+38880502829752320 x^{10}-21508363267522560 x^{11}+4715295024033792 x^{12}) \log ^8(x)+(109149259756752 x^8-1884279687966720 x^9+3171104840724480 x^{10}-2343860099665920 x^{11}+643412576378880 x^{12}) \log ^9(x)+(-45958041169920 x^9+155108388948480 x^{10}-172342654387200 x^{11}+63192306608640 x^{12}) \log ^{10}(x)+(3446853087744 x^{10}-7677081877248 x^{11}+4230228789504 x^{12}) \log ^{11}(x)+(-156675140352 x^{11}+172995467472 x^{12}) \log ^{12}(x)+3264065424 x^{12} \log ^{13}(x)}{-1391569403904+23656679866368 x-189253438930944 x^2+946267194654720 x^3-3311935181291520 x^4+8611031471357952 x^5-17222062942715904 x^6+27063241767124992 x^7-33829052208906240 x^8+33829052208906240 x^9-27063241767124992 x^{10}+17222062942715904 x^{11}-8611031471357952 x^{12}+3311935181291520 x^{13}-946267194654720 x^{14}+189253438930944 x^{15}-23656679866368 x^{16}+1391569403904 x^{17}+(5914169966592 x-94626719465472 x^2+709700395991040 x^3-3311935181291520 x^4+10763789339197440 x^5-25833094414073856 x^6+47360673092468736 x^7-67658104417812480 x^8+76115367470039040 x^9-67658104417812480 x^{10}+47360673092468736 x^{11}-25833094414073856 x^{12}+10763789339197440 x^{13}-3311935181291520 x^{14}+709700395991040 x^{15}-94626719465472 x^{16}+5914169966592 x^{17}) \log (x)+(-11828339933184 x^2+177425098997760 x^3-1241975692984320 x^4+5381894669598720 x^5-16145684008796160 x^6+35520504819351552 x^7-59200841365585920 x^8+76115367470039040 x^9-76115367470039040 x^{10}+59200841365585920 x^{11}-35520504819351552 x^{12}+16145684008796160 x^{13}-5381894669598720 x^{14}+1241975692984320 x^{15}-177425098997760 x^{16}+11828339933184 x^{17}) \log ^2(x)+(14785424916480 x^3-206995948830720 x^4+1345473667399680 x^5-5381894669598720 x^6+14800210341396480 x^7-29600420682792960 x^8+44400631024189440 x^9-50743578313359360 x^{10}+44400631024189440 x^{11}-29600420682792960 x^{12}+14800210341396480 x^{13}-5381894669598720 x^{14}+1345473667399680 x^{15}-206995948830720 x^{16}+14785424916480 x^{17}) \log ^3(x)+(-12937246801920 x^4+168184208424960 x^5-1009105250549760 x^6+3700052585349120 x^7-9250131463372800 x^8+16650236634071040 x^9-22200315512094720 x^{10}+22200315512094720 x^{11}-16650236634071040 x^{12}+9250131463372800 x^{13}-3700052585349120 x^{14}+1009105250549760 x^{15}-168184208424960 x^{16}+12937246801920 x^{17}) \log ^4(x)+(8409210421248 x^5-100910525054976 x^6+555007887802368 x^7-1850026292674560 x^8+4162559158517760 x^9-6660094653628416 x^{10}+7770110429233152 x^{11}-6660094653628416 x^{12}+4162559158517760 x^{13}-1850026292674560 x^{14}+555007887802368 x^{15}-100910525054976 x^{16}+8409210421248 x^{17}) \log ^5(x)+(-4204605210624 x^6+46250657316864 x^7-231253286584320 x^8+693759859752960 x^9-1387519719505920 x^{10}+1942527607308288 x^{11}-1942527607308288 x^{12}+1387519719505920 x^{13}-693759859752960 x^{14}+231253286584320 x^{15}-46250657316864 x^{16}+4204605210624 x^{17}) \log ^6(x)+(1651809189888 x^7-16518091898880 x^8+74331413544960 x^9-198217102786560 x^{10}+346879929876480 x^{11}-416255915851776 x^{12}+346879929876480 x^{13}-198217102786560 x^{14}+74331413544960 x^{15}-16518091898880 x^{16}+1651809189888 x^{17}) \log ^7(x)+(-516190371840 x^8+4645713346560 x^9-18582853386240 x^{10}+43359991234560 x^{11}-65039986851840 x^{12}+65039986851840 x^{13}-43359991234560 x^{14}+18582853386240 x^{15}-4645713346560 x^{16}+516190371840 x^{17}) \log ^8(x)+(129047592960 x^9-1032380743680 x^{10}+3613332602880 x^{11}-7226665205760 x^{12}+9033331507200 x^{13}-7226665205760 x^{14}+3613332602880 x^{15}-1032380743680 x^{16}+129047592960 x^{17}) \log ^9(x)+(-25809518592 x^{10}+180666630144 x^{11}-541999890432 x^{12}+903333150720 x^{13}-903333150720 x^{14}+541999890432 x^{15}-180666630144 x^{16}+25809518592 x^{17}) \log ^{10}(x)+(4106059776 x^{11}-24636358656 x^{12}+61590896640 x^{13}-82121195520 x^{14}+61590896640 x^{15}-24636358656 x^{16}+4106059776 x^{17}) \log ^{11}(x)+(-513257472 x^{12}+2566287360 x^{13}-5132574720 x^{14}+5132574720 x^{15}-2566287360 x^{16}+513257472 x^{17}) \log ^{12}(x)+(49351680 x^{13}-197406720 x^{14}+296110080 x^{15}-197406720 x^{16}+49351680 x^{17}) \log ^{13}(x)+(-3525120 x^{14}+10575360 x^{15}-10575360 x^{16}+3525120 x^{17}) \log ^{14}(x)+(176256 x^{15}-352512 x^{16}+176256 x^{17}) \log ^{15}(x)+(-5508 x^{16}+5508 x^{17}) \log ^{16}(x)+81 x^{17} \log ^{17}(x)} \, dx\)
Optimal. Leaf size=20 \[ \frac {1}{81} \left (-9+\frac {279841}{(-4+x (4+\log (x)))^4}\right )^4 \]
________________________________________________________________________________________
Rubi [F] time = 180.00, antiderivative size = 0, normalized size of antiderivative = 0.00,
number of steps used = 0, number of rules used = 0, integrand size = 0, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.000, Rules used =
{} \begin {gather*} \text {\$Aborted} \end {gather*}
Verification is not applicable to the result.
[In]
Int[(-478590418467834594293840 - 47676770628055685775360*x + 69931982822434036162560*x^2 - 4294477508691731374
0800*x^3 + 5269564078649052917760*x^4 + 5370248695124695449600*x^5 - 2540552850628977623040*x^6 + 581300746103
480647680*x^7 + 35766029437092495360*x^8 - 60238123722237542400*x^9 + 18071437116671262720*x^10 - 328571583939
4775040*x^11 + 273809653282897920*x^12 + (-95718083693566918858768 - 21454546782625058598912*x + 4895238797570
3825313792*x^2 - 40797536332571448053760*x^3 + 6323476894378863501312*x^4 + 7786860607930808401920*x^5 - 43189
39846069261959168*x^6 + 1133536454901787262976*x^7 + 78685264761603489792*x^8 - 147583403119481978880*x^9 + 48
792880215012409344*x^10 - 9692861726214586368*x^11 + 876190890505273344*x^12)*Log[x] + (-238383853140278428876
8*x + 11363947208645530876416*x^2 - 14493861591834593387520*x^3 + 3029999345223205427712*x^4 + 469896760823410
8518400*x^5 - 3143934152653359808512*x^6 + 966412490397036576768*x^7 + 76896963289748865024*x^8 - 162642934050
041364480*x^9 + 59861635448973557760*x^10 - 13101791909586665472*x^11 + 1293750611761692672*x^12)*Log[x]^2 + (
874149785280425452032*x^2 - 2281441176492482292480*x^3 + 724565060814244776192*x^4 + 1510382445503820595200*x^
5 - 1270276425314488811520*x^6 + 470490291377504649216*x^7 + 43813386060438306816*x^8 - 106169693060443668480*
x^9 + 44049127971886202880*x^10 - 10729915788023562240*x^11 + 1167113647118352384*x^12)*Log[x]^3 + (-134202422
146616605440*x^3 + 86453785665336024432*x^4 + 272707941549300940800*x^5 - 307645071755852759040*x^6 + 14305448
0486403440640*x^7 + 16038828825696165888*x^8 - 45460958996626145280*x^9 + 21601014678521118720*x^10 - 59296903
03907758080*x^11 + 717680770909470720*x^12)*Log[x]^4 + (4116846936444572592*x^4 + 26221917456663552000*x^5 - 4
4658155577462497280*x^6 + 27816148983467335680*x^7 + 3911909469681991680*x^8 - 13341803183792455680*x^9 + 7412
112879884697600*x^10 - 2329521190820904960*x^11 + 317661980566487040*x^12)*Log[x]^5 + (1048876698266542080*x^5
- 3597462532628923392*x^6 + 3377675233706747904*x^7 + 635685288823323648*x^8 - 2717774722624389120*x^9 + 1815
967655571750912*x^10 - 667090159189622784*x^11 + 104122538074570752*x^12)*Log[x]^6 + (-124050432159618048*x^6
+ 234166560320005632*x^7 + 66362749932105216*x^8 - 379429587898859520*x^9 + 317661980566487040*x^10 - 14030070
8083531776*x^11 + 25589437323411456*x^12)*Log[x]^7 + (7095956373333504*x^7 + 4038522610999824*x^8 - 3474427912
4459520*x^9 + 38880502829752320*x^10 - 21508363267522560*x^11 + 4715295024033792*x^12)*Log[x]^8 + (10914925975
6752*x^8 - 1884279687966720*x^9 + 3171104840724480*x^10 - 2343860099665920*x^11 + 643412576378880*x^12)*Log[x]
^9 + (-45958041169920*x^9 + 155108388948480*x^10 - 172342654387200*x^11 + 63192306608640*x^12)*Log[x]^10 + (34
46853087744*x^10 - 7677081877248*x^11 + 4230228789504*x^12)*Log[x]^11 + (-156675140352*x^11 + 172995467472*x^1
2)*Log[x]^12 + 3264065424*x^12*Log[x]^13)/(-1391569403904 + 23656679866368*x - 189253438930944*x^2 + 946267194
654720*x^3 - 3311935181291520*x^4 + 8611031471357952*x^5 - 17222062942715904*x^6 + 27063241767124992*x^7 - 338
29052208906240*x^8 + 33829052208906240*x^9 - 27063241767124992*x^10 + 17222062942715904*x^11 - 861103147135795
2*x^12 + 3311935181291520*x^13 - 946267194654720*x^14 + 189253438930944*x^15 - 23656679866368*x^16 + 139156940
3904*x^17 + (5914169966592*x - 94626719465472*x^2 + 709700395991040*x^3 - 3311935181291520*x^4 + 1076378933919
7440*x^5 - 25833094414073856*x^6 + 47360673092468736*x^7 - 67658104417812480*x^8 + 76115367470039040*x^9 - 676
58104417812480*x^10 + 47360673092468736*x^11 - 25833094414073856*x^12 + 10763789339197440*x^13 - 3311935181291
520*x^14 + 709700395991040*x^15 - 94626719465472*x^16 + 5914169966592*x^17)*Log[x] + (-11828339933184*x^2 + 17
7425098997760*x^3 - 1241975692984320*x^4 + 5381894669598720*x^5 - 16145684008796160*x^6 + 35520504819351552*x^
7 - 59200841365585920*x^8 + 76115367470039040*x^9 - 76115367470039040*x^10 + 59200841365585920*x^11 - 35520504
819351552*x^12 + 16145684008796160*x^13 - 5381894669598720*x^14 + 1241975692984320*x^15 - 177425098997760*x^16
+ 11828339933184*x^17)*Log[x]^2 + (14785424916480*x^3 - 206995948830720*x^4 + 1345473667399680*x^5 - 53818946
69598720*x^6 + 14800210341396480*x^7 - 29600420682792960*x^8 + 44400631024189440*x^9 - 50743578313359360*x^10
+ 44400631024189440*x^11 - 29600420682792960*x^12 + 14800210341396480*x^13 - 5381894669598720*x^14 + 134547366
7399680*x^15 - 206995948830720*x^16 + 14785424916480*x^17)*Log[x]^3 + (-12937246801920*x^4 + 168184208424960*x
^5 - 1009105250549760*x^6 + 3700052585349120*x^7 - 9250131463372800*x^8 + 16650236634071040*x^9 - 222003155120
94720*x^10 + 22200315512094720*x^11 - 16650236634071040*x^12 + 9250131463372800*x^13 - 3700052585349120*x^14 +
1009105250549760*x^15 - 168184208424960*x^16 + 12937246801920*x^17)*Log[x]^4 + (8409210421248*x^5 - 100910525
054976*x^6 + 555007887802368*x^7 - 1850026292674560*x^8 + 4162559158517760*x^9 - 6660094653628416*x^10 + 77701
10429233152*x^11 - 6660094653628416*x^12 + 4162559158517760*x^13 - 1850026292674560*x^14 + 555007887802368*x^1
5 - 100910525054976*x^16 + 8409210421248*x^17)*Log[x]^5 + (-4204605210624*x^6 + 46250657316864*x^7 - 231253286
584320*x^8 + 693759859752960*x^9 - 1387519719505920*x^10 + 1942527607308288*x^11 - 1942527607308288*x^12 + 138
7519719505920*x^13 - 693759859752960*x^14 + 231253286584320*x^15 - 46250657316864*x^16 + 4204605210624*x^17)*L
og[x]^6 + (1651809189888*x^7 - 16518091898880*x^8 + 74331413544960*x^9 - 198217102786560*x^10 + 34687992987648
0*x^11 - 416255915851776*x^12 + 346879929876480*x^13 - 198217102786560*x^14 + 74331413544960*x^15 - 1651809189
8880*x^16 + 1651809189888*x^17)*Log[x]^7 + (-516190371840*x^8 + 4645713346560*x^9 - 18582853386240*x^10 + 4335
9991234560*x^11 - 65039986851840*x^12 + 65039986851840*x^13 - 43359991234560*x^14 + 18582853386240*x^15 - 4645
713346560*x^16 + 516190371840*x^17)*Log[x]^8 + (129047592960*x^9 - 1032380743680*x^10 + 3613332602880*x^11 - 7
226665205760*x^12 + 9033331507200*x^13 - 7226665205760*x^14 + 3613332602880*x^15 - 1032380743680*x^16 + 129047
592960*x^17)*Log[x]^9 + (-25809518592*x^10 + 180666630144*x^11 - 541999890432*x^12 + 903333150720*x^13 - 90333
3150720*x^14 + 541999890432*x^15 - 180666630144*x^16 + 25809518592*x^17)*Log[x]^10 + (4106059776*x^11 - 246363
58656*x^12 + 61590896640*x^13 - 82121195520*x^14 + 61590896640*x^15 - 24636358656*x^16 + 4106059776*x^17)*Log[
x]^11 + (-513257472*x^12 + 2566287360*x^13 - 5132574720*x^14 + 5132574720*x^15 - 2566287360*x^16 + 513257472*x
^17)*Log[x]^12 + (49351680*x^13 - 197406720*x^14 + 296110080*x^15 - 197406720*x^16 + 49351680*x^17)*Log[x]^13
+ (-3525120*x^14 + 10575360*x^15 - 10575360*x^16 + 3525120*x^17)*Log[x]^14 + (176256*x^15 - 352512*x^16 + 1762
56*x^17)*Log[x]^15 + (-5508*x^16 + 5508*x^17)*Log[x]^16 + 81*x^17*Log[x]^17),x]
[Out]
$Aborted
Rubi steps
Aborted
________________________________________________________________________________________
Mathematica [B] time = 0.17, size = 56, normalized size = 2.80 \begin {gather*} \frac {279841 \left (21914624432020321-2819195470116 (-4+4 x+x \log (x))^4+136002726 (-4+4 x+x \log (x))^8-2916 (-4+4 x+x \log (x))^{12}\right )}{81 (-4+4 x+x \log (x))^{16}} \end {gather*}
Antiderivative was successfully verified.
[In]
Integrate[(-478590418467834594293840 - 47676770628055685775360*x + 69931982822434036162560*x^2 - 4294477508691
7313740800*x^3 + 5269564078649052917760*x^4 + 5370248695124695449600*x^5 - 2540552850628977623040*x^6 + 581300
746103480647680*x^7 + 35766029437092495360*x^8 - 60238123722237542400*x^9 + 18071437116671262720*x^10 - 328571
5839394775040*x^11 + 273809653282897920*x^12 + (-95718083693566918858768 - 21454546782625058598912*x + 4895238
7975703825313792*x^2 - 40797536332571448053760*x^3 + 6323476894378863501312*x^4 + 7786860607930808401920*x^5 -
4318939846069261959168*x^6 + 1133536454901787262976*x^7 + 78685264761603489792*x^8 - 147583403119481978880*x^
9 + 48792880215012409344*x^10 - 9692861726214586368*x^11 + 876190890505273344*x^12)*Log[x] + (-238383853140278
4288768*x + 11363947208645530876416*x^2 - 14493861591834593387520*x^3 + 3029999345223205427712*x^4 + 469896760
8234108518400*x^5 - 3143934152653359808512*x^6 + 966412490397036576768*x^7 + 76896963289748865024*x^8 - 162642
934050041364480*x^9 + 59861635448973557760*x^10 - 13101791909586665472*x^11 + 1293750611761692672*x^12)*Log[x]
^2 + (874149785280425452032*x^2 - 2281441176492482292480*x^3 + 724565060814244776192*x^4 + 1510382445503820595
200*x^5 - 1270276425314488811520*x^6 + 470490291377504649216*x^7 + 43813386060438306816*x^8 - 1061696930604436
68480*x^9 + 44049127971886202880*x^10 - 10729915788023562240*x^11 + 1167113647118352384*x^12)*Log[x]^3 + (-134
202422146616605440*x^3 + 86453785665336024432*x^4 + 272707941549300940800*x^5 - 307645071755852759040*x^6 + 14
3054480486403440640*x^7 + 16038828825696165888*x^8 - 45460958996626145280*x^9 + 21601014678521118720*x^10 - 59
29690303907758080*x^11 + 717680770909470720*x^12)*Log[x]^4 + (4116846936444572592*x^4 + 26221917456663552000*x
^5 - 44658155577462497280*x^6 + 27816148983467335680*x^7 + 3911909469681991680*x^8 - 13341803183792455680*x^9
+ 7412112879884697600*x^10 - 2329521190820904960*x^11 + 317661980566487040*x^12)*Log[x]^5 + (10488766982665420
80*x^5 - 3597462532628923392*x^6 + 3377675233706747904*x^7 + 635685288823323648*x^8 - 2717774722624389120*x^9
+ 1815967655571750912*x^10 - 667090159189622784*x^11 + 104122538074570752*x^12)*Log[x]^6 + (-12405043215961804
8*x^6 + 234166560320005632*x^7 + 66362749932105216*x^8 - 379429587898859520*x^9 + 317661980566487040*x^10 - 14
0300708083531776*x^11 + 25589437323411456*x^12)*Log[x]^7 + (7095956373333504*x^7 + 4038522610999824*x^8 - 3474
4279124459520*x^9 + 38880502829752320*x^10 - 21508363267522560*x^11 + 4715295024033792*x^12)*Log[x]^8 + (10914
9259756752*x^8 - 1884279687966720*x^9 + 3171104840724480*x^10 - 2343860099665920*x^11 + 643412576378880*x^12)*
Log[x]^9 + (-45958041169920*x^9 + 155108388948480*x^10 - 172342654387200*x^11 + 63192306608640*x^12)*Log[x]^10
+ (3446853087744*x^10 - 7677081877248*x^11 + 4230228789504*x^12)*Log[x]^11 + (-156675140352*x^11 + 1729954674
72*x^12)*Log[x]^12 + 3264065424*x^12*Log[x]^13)/(-1391569403904 + 23656679866368*x - 189253438930944*x^2 + 946
267194654720*x^3 - 3311935181291520*x^4 + 8611031471357952*x^5 - 17222062942715904*x^6 + 27063241767124992*x^7
- 33829052208906240*x^8 + 33829052208906240*x^9 - 27063241767124992*x^10 + 17222062942715904*x^11 - 861103147
1357952*x^12 + 3311935181291520*x^13 - 946267194654720*x^14 + 189253438930944*x^15 - 23656679866368*x^16 + 139
1569403904*x^17 + (5914169966592*x - 94626719465472*x^2 + 709700395991040*x^3 - 3311935181291520*x^4 + 1076378
9339197440*x^5 - 25833094414073856*x^6 + 47360673092468736*x^7 - 67658104417812480*x^8 + 76115367470039040*x^9
- 67658104417812480*x^10 + 47360673092468736*x^11 - 25833094414073856*x^12 + 10763789339197440*x^13 - 3311935
181291520*x^14 + 709700395991040*x^15 - 94626719465472*x^16 + 5914169966592*x^17)*Log[x] + (-11828339933184*x^
2 + 177425098997760*x^3 - 1241975692984320*x^4 + 5381894669598720*x^5 - 16145684008796160*x^6 + 35520504819351
552*x^7 - 59200841365585920*x^8 + 76115367470039040*x^9 - 76115367470039040*x^10 + 59200841365585920*x^11 - 35
520504819351552*x^12 + 16145684008796160*x^13 - 5381894669598720*x^14 + 1241975692984320*x^15 - 17742509899776
0*x^16 + 11828339933184*x^17)*Log[x]^2 + (14785424916480*x^3 - 206995948830720*x^4 + 1345473667399680*x^5 - 53
81894669598720*x^6 + 14800210341396480*x^7 - 29600420682792960*x^8 + 44400631024189440*x^9 - 50743578313359360
*x^10 + 44400631024189440*x^11 - 29600420682792960*x^12 + 14800210341396480*x^13 - 5381894669598720*x^14 + 134
5473667399680*x^15 - 206995948830720*x^16 + 14785424916480*x^17)*Log[x]^3 + (-12937246801920*x^4 + 16818420842
4960*x^5 - 1009105250549760*x^6 + 3700052585349120*x^7 - 9250131463372800*x^8 + 16650236634071040*x^9 - 222003
15512094720*x^10 + 22200315512094720*x^11 - 16650236634071040*x^12 + 9250131463372800*x^13 - 3700052585349120*
x^14 + 1009105250549760*x^15 - 168184208424960*x^16 + 12937246801920*x^17)*Log[x]^4 + (8409210421248*x^5 - 100
910525054976*x^6 + 555007887802368*x^7 - 1850026292674560*x^8 + 4162559158517760*x^9 - 6660094653628416*x^10 +
7770110429233152*x^11 - 6660094653628416*x^12 + 4162559158517760*x^13 - 1850026292674560*x^14 + 5550078878023
68*x^15 - 100910525054976*x^16 + 8409210421248*x^17)*Log[x]^5 + (-4204605210624*x^6 + 46250657316864*x^7 - 231
253286584320*x^8 + 693759859752960*x^9 - 1387519719505920*x^10 + 1942527607308288*x^11 - 1942527607308288*x^12
+ 1387519719505920*x^13 - 693759859752960*x^14 + 231253286584320*x^15 - 46250657316864*x^16 + 4204605210624*x
^17)*Log[x]^6 + (1651809189888*x^7 - 16518091898880*x^8 + 74331413544960*x^9 - 198217102786560*x^10 + 34687992
9876480*x^11 - 416255915851776*x^12 + 346879929876480*x^13 - 198217102786560*x^14 + 74331413544960*x^15 - 1651
8091898880*x^16 + 1651809189888*x^17)*Log[x]^7 + (-516190371840*x^8 + 4645713346560*x^9 - 18582853386240*x^10
+ 43359991234560*x^11 - 65039986851840*x^12 + 65039986851840*x^13 - 43359991234560*x^14 + 18582853386240*x^15
- 4645713346560*x^16 + 516190371840*x^17)*Log[x]^8 + (129047592960*x^9 - 1032380743680*x^10 + 3613332602880*x^
11 - 7226665205760*x^12 + 9033331507200*x^13 - 7226665205760*x^14 + 3613332602880*x^15 - 1032380743680*x^16 +
129047592960*x^17)*Log[x]^9 + (-25809518592*x^10 + 180666630144*x^11 - 541999890432*x^12 + 903333150720*x^13 -
903333150720*x^14 + 541999890432*x^15 - 180666630144*x^16 + 25809518592*x^17)*Log[x]^10 + (4106059776*x^11 -
24636358656*x^12 + 61590896640*x^13 - 82121195520*x^14 + 61590896640*x^15 - 24636358656*x^16 + 4106059776*x^17
)*Log[x]^11 + (-513257472*x^12 + 2566287360*x^13 - 5132574720*x^14 + 5132574720*x^15 - 2566287360*x^16 + 51325
7472*x^17)*Log[x]^12 + (49351680*x^13 - 197406720*x^14 + 296110080*x^15 - 197406720*x^16 + 49351680*x^17)*Log[
x]^13 + (-3525120*x^14 + 10575360*x^15 - 10575360*x^16 + 3525120*x^17)*Log[x]^14 + (176256*x^15 - 352512*x^16
+ 176256*x^17)*Log[x]^15 + (-5508*x^16 + 5508*x^17)*Log[x]^16 + 81*x^17*Log[x]^17),x]
[Out]
(279841*(21914624432020321 - 2819195470116*(-4 + 4*x + x*Log[x])^4 + 136002726*(-4 + 4*x + x*Log[x])^8 - 2916*
(-4 + 4*x + x*Log[x])^12))/(81*(-4 + 4*x + x*Log[x])^16)
________________________________________________________________________________________
fricas [B] time = 0.85, size = 1343, normalized size = 67.15 result too large to
display
Verification of antiderivative is not currently implemented for this CAS.
[In]
integrate((-47676770628055685775360*x+5269564078649052917760*x^4-42944775086917313740800*x^3+69931982822434036
162560*x^2-2540552850628977623040*x^6+5370248695124695449600*x^5+581300746103480647680*x^7+3576602943709249536
0*x^8+18071437116671262720*x^10-60238123722237542400*x^9-3285715839394775040*x^11+273809653282897920*x^12-4785
90418467834594293840+3264065424*x^12*log(x)^13+(717680770909470720*x^12-5929690303907758080*x^11+2160101467852
1118720*x^10-45460958996626145280*x^9+16038828825696165888*x^8+143054480486403440640*x^7-307645071755852759040
*x^6+272707941549300940800*x^5+86453785665336024432*x^4-134202422146616605440*x^3)*log(x)^4+(11671136471183523
84*x^12-10729915788023562240*x^11+44049127971886202880*x^10-106169693060443668480*x^9+43813386060438306816*x^8
+470490291377504649216*x^7-1270276425314488811520*x^6+1510382445503820595200*x^5+724565060814244776192*x^4-228
1441176492482292480*x^3+874149785280425452032*x^2)*log(x)^3+(1293750611761692672*x^12-13101791909586665472*x^1
1+59861635448973557760*x^10-162642934050041364480*x^9+76896963289748865024*x^8+966412490397036576768*x^7-31439
34152653359808512*x^6+4698967608234108518400*x^5+3029999345223205427712*x^4-14493861591834593387520*x^3+113639
47208645530876416*x^2-2383838531402784288768*x)*log(x)^2+(172995467472*x^12-156675140352*x^11)*log(x)^12+(4230
228789504*x^12-7677081877248*x^11+3446853087744*x^10)*log(x)^11+(63192306608640*x^12-172342654387200*x^11+1551
08388948480*x^10-45958041169920*x^9)*log(x)^10+(643412576378880*x^12-2343860099665920*x^11+3171104840724480*x^
10-1884279687966720*x^9+109149259756752*x^8)*log(x)^9+(876190890505273344*x^12-9692861726214586368*x^11+487928
80215012409344*x^10-147583403119481978880*x^9+78685264761603489792*x^8+1133536454901787262976*x^7-431893984606
9261959168*x^6+7786860607930808401920*x^5+6323476894378863501312*x^4-40797536332571448053760*x^3+4895238797570
3825313792*x^2-21454546782625058598912*x-95718083693566918858768)*log(x)+(4715295024033792*x^12-21508363267522
560*x^11+38880502829752320*x^10-34744279124459520*x^9+4038522610999824*x^8+7095956373333504*x^7)*log(x)^8+(255
89437323411456*x^12-140300708083531776*x^11+317661980566487040*x^10-379429587898859520*x^9+66362749932105216*x
^8+234166560320005632*x^7-124050432159618048*x^6)*log(x)^7+(104122538074570752*x^12-667090159189622784*x^11+18
15967655571750912*x^10-2717774722624389120*x^9+635685288823323648*x^8+3377675233706747904*x^7-3597462532628923
392*x^6+1048876698266542080*x^5)*log(x)^6+(317661980566487040*x^12-2329521190820904960*x^11+741211287988469760
0*x^10-13341803183792455680*x^9+3911909469681991680*x^8+27816148983467335680*x^7-44658155577462497280*x^6+2622
1917456663552000*x^5+4116846936444572592*x^4)*log(x)^5)/(-1391569403904+23656679866368*x-3311935181291520*x^4+
946267194654720*x^3-189253438930944*x^2-17222062942715904*x^6+8611031471357952*x^5+27063241767124992*x^7-33829
052208906240*x^8-27063241767124992*x^10+33829052208906240*x^9+189253438930944*x^15-23656679866368*x^16+1722206
2942715904*x^11-8611031471357952*x^12+3311935181291520*x^13-946267194654720*x^14+1391569403904*x^17+81*x^17*lo
g(x)^17+(5508*x^17-5508*x^16)*log(x)^16+(176256*x^17-352512*x^16+176256*x^15)*log(x)^15+(3525120*x^17-10575360
*x^16+10575360*x^15-3525120*x^14)*log(x)^14+(49351680*x^17-197406720*x^16+296110080*x^15-197406720*x^14+493516
80*x^13)*log(x)^13+(513257472*x^17-2566287360*x^16+5132574720*x^15-5132574720*x^14+2566287360*x^13-513257472*x
^12)*log(x)^12+(4106059776*x^17-24636358656*x^16+61590896640*x^15-82121195520*x^14+61590896640*x^13-2463635865
6*x^12+4106059776*x^11)*log(x)^11+(25809518592*x^17-180666630144*x^16+541999890432*x^15-903333150720*x^14+9033
33150720*x^13-541999890432*x^12+180666630144*x^11-25809518592*x^10)*log(x)^10+(129047592960*x^17-1032380743680
*x^16+3613332602880*x^15-7226665205760*x^14+9033331507200*x^13-7226665205760*x^12+3613332602880*x^11-103238074
3680*x^10+129047592960*x^9)*log(x)^9+(5914169966592*x^17-94626719465472*x^16+709700395991040*x^15-331193518129
1520*x^14+10763789339197440*x^13-25833094414073856*x^12+47360673092468736*x^11-67658104417812480*x^10+76115367
470039040*x^9-67658104417812480*x^8+47360673092468736*x^7-25833094414073856*x^6+10763789339197440*x^5-33119351
81291520*x^4+709700395991040*x^3-94626719465472*x^2+5914169966592*x)*log(x)+(516190371840*x^17-4645713346560*x
^16+18582853386240*x^15-43359991234560*x^14+65039986851840*x^13-65039986851840*x^12+43359991234560*x^11-185828
53386240*x^10+4645713346560*x^9-516190371840*x^8)*log(x)^8+(1651809189888*x^17-16518091898880*x^16+74331413544
960*x^15-198217102786560*x^14+346879929876480*x^13-416255915851776*x^12+346879929876480*x^11-198217102786560*x
^10+74331413544960*x^9-16518091898880*x^8+1651809189888*x^7)*log(x)^7+(4204605210624*x^17-46250657316864*x^16+
231253286584320*x^15-693759859752960*x^14+1387519719505920*x^13-1942527607308288*x^12+1942527607308288*x^11-13
87519719505920*x^10+693759859752960*x^9-231253286584320*x^8+46250657316864*x^7-4204605210624*x^6)*log(x)^6+(84
09210421248*x^17-100910525054976*x^16+555007887802368*x^15-1850026292674560*x^14+4162559158517760*x^13-6660094
653628416*x^12+7770110429233152*x^11-6660094653628416*x^10+4162559158517760*x^9-1850026292674560*x^8+555007887
802368*x^7-100910525054976*x^6+8409210421248*x^5)*log(x)^5+(12937246801920*x^17-168184208424960*x^16+100910525
0549760*x^15-3700052585349120*x^14+9250131463372800*x^13-16650236634071040*x^12+22200315512094720*x^11-2220031
5512094720*x^10+16650236634071040*x^9-9250131463372800*x^8+3700052585349120*x^7-1009105250549760*x^6+168184208
424960*x^5-12937246801920*x^4)*log(x)^4+(14785424916480*x^17-206995948830720*x^16+1345473667399680*x^15-538189
4669598720*x^14+14800210341396480*x^13-29600420682792960*x^12+44400631024189440*x^11-50743578313359360*x^10+44
400631024189440*x^9-29600420682792960*x^8+14800210341396480*x^7-5381894669598720*x^6+1345473667399680*x^5-2069
95948830720*x^4+14785424916480*x^3)*log(x)^3+(11828339933184*x^17-177425098997760*x^16+1241975692984320*x^15-5
381894669598720*x^14+16145684008796160*x^13-35520504819351552*x^12+59200841365585920*x^11-76115367470039040*x^
10+76115367470039040*x^9-59200841365585920*x^8+35520504819351552*x^7-16145684008796160*x^6+5381894669598720*x^
5-1241975692984320*x^4+177425098997760*x^3-11828339933184*x^2)*log(x)^2),x, algorithm="fricas")
[Out]
-279841/81*(2916*x^12*log(x)^12 + 48922361856*x^12 + 139968*(x^12 - x^11)*log(x)^11 - 587068342272*x^11 + 3079
296*(x^12 - 2*x^11 + x^10)*log(x)^10 + 3228875882496*x^10 + 41057280*(x^12 - 3*x^11 + 3*x^10 - x^9)*log(x)^9 -
10762919608320*x^9 + 486*(760320*x^12 - 3041280*x^11 + 4561920*x^10 - 3041280*x^9 + 480479*x^8)*log(x)^8 + 15
303494467584*x^8 + 15552*(152064*x^12 - 760320*x^11 + 1520640*x^10 - 1520640*x^9 + 480479*x^8 + 127777*x^7)*lo
g(x)^7 + 32558086619136*x^7 + 217728*(50688*x^12 - 304128*x^11 + 760320*x^10 - 1013760*x^9 + 480479*x^8 + 2555
54*x^7 - 229153*x^6)*log(x)^6 - 204361827876864*x^6 + 248832*(152064*x^12 - 1064448*x^11 + 3193344*x^10 - 5322
240*x^9 + 3363353*x^8 + 2683317*x^7 - 4812213*x^6 + 1806823*x^5)*log(x)^5 + 460385669873664*x^5 + 36*(26276659
20*x^12 - 21021327360*x^11 + 73574645760*x^10 - 147149291520*x^9 + 116237479680*x^8 + 123647247360*x^7 - 33262
0162560*x^6 + 249775211520*x^5 + 13239516481*x^4)*log(x)^4 + 122015383888896*x^4 + 576*(291962880*x^12 - 26276
65920*x^11 + 10510663680*x^10 - 24524881920*x^9 + 23247495936*x^8 + 30911811840*x^7 - 110873387520*x^6 + 12488
7605760*x^5 + 13239516481*x^4 - 65063121217*x^3)*log(x)^3 - 2398486900543488*x^3 + 3456*(58392576*x^12 - 58392
5760*x^11 + 2627665920*x^10 - 7007109120*x^9 + 7749165312*x^8 + 12364724736*x^7 - 55436693760*x^6 + 8325840384
0*x^5 + 13239516481*x^4 - 130126242434*x^3 + 73856102209*x^2)*log(x)^2 + 4083947027748864*x^2 + 9216*(15925248
*x^12 - 175177728*x^11 + 875888640*x^10 - 2627665920*x^9 + 3321070848*x^8 + 6182362368*x^7 - 33262016256*x^6 +
62443802880*x^5 + 13239516481*x^4 - 195189363651*x^3 + 221568306627*x^2 - 76392649537*x)*log(x) - 28161386325
31968*x - 21201774543959905)/(x^16*log(x)^16 + 4294967296*x^16 + 64*(x^16 - x^15)*log(x)^15 - 68719476736*x^15
+ 1920*(x^16 - 2*x^15 + x^14)*log(x)^14 + 515396075520*x^14 + 35840*(x^16 - 3*x^15 + 3*x^14 - x^13)*log(x)^13
- 2405181685760*x^13 + 465920*(x^16 - 4*x^15 + 6*x^14 - 4*x^13 + x^12)*log(x)^12 + 7816840478720*x^12 + 44728
32*(x^16 - 5*x^15 + 10*x^14 - 10*x^13 + 5*x^12 - x^11)*log(x)^11 - 18760417148928*x^11 + 32800768*(x^16 - 6*x^
15 + 15*x^14 - 20*x^13 + 15*x^12 - 6*x^11 + x^10)*log(x)^10 + 34394098106368*x^10 + 187432960*(x^16 - 7*x^15 +
21*x^14 - 35*x^13 + 35*x^12 - 21*x^11 + 7*x^10 - x^9)*log(x)^9 - 49134425866240*x^9 + 843448320*(x^16 - 8*x^1
5 + 28*x^14 - 56*x^13 + 70*x^12 - 56*x^11 + 28*x^10 - 8*x^9 + x^8)*log(x)^8 + 55276229099520*x^8 + 2998927360*
(x^16 - 9*x^15 + 36*x^14 - 84*x^13 + 126*x^12 - 126*x^11 + 84*x^10 - 36*x^9 + 9*x^8 - x^7)*log(x)^7 - 49134425
866240*x^7 + 8396996608*(x^16 - 10*x^15 + 45*x^14 - 120*x^13 + 210*x^12 - 252*x^11 + 210*x^10 - 120*x^9 + 45*x
^8 - 10*x^7 + x^6)*log(x)^6 + 34394098106368*x^6 + 18320719872*(x^16 - 11*x^15 + 55*x^14 - 165*x^13 + 330*x^12
- 462*x^11 + 462*x^10 - 330*x^9 + 165*x^8 - 55*x^7 + 11*x^6 - x^5)*log(x)^5 - 18760417148928*x^5 + 3053453312
0*(x^16 - 12*x^15 + 66*x^14 - 220*x^13 + 495*x^12 - 792*x^11 + 924*x^10 - 792*x^9 + 495*x^8 - 220*x^7 + 66*x^6
- 12*x^5 + x^4)*log(x)^4 + 7816840478720*x^4 + 37580963840*(x^16 - 13*x^15 + 78*x^14 - 286*x^13 + 715*x^12 -
1287*x^11 + 1716*x^10 - 1716*x^9 + 1287*x^8 - 715*x^7 + 286*x^6 - 78*x^5 + 13*x^4 - x^3)*log(x)^3 - 2405181685
760*x^3 + 32212254720*(x^16 - 14*x^15 + 91*x^14 - 364*x^13 + 1001*x^12 - 2002*x^11 + 3003*x^10 - 3432*x^9 + 30
03*x^8 - 2002*x^7 + 1001*x^6 - 364*x^5 + 91*x^4 - 14*x^3 + x^2)*log(x)^2 + 515396075520*x^2 + 17179869184*(x^1
6 - 15*x^15 + 105*x^14 - 455*x^13 + 1365*x^12 - 3003*x^11 + 5005*x^10 - 6435*x^9 + 6435*x^8 - 5005*x^7 + 3003*
x^6 - 1365*x^5 + 455*x^4 - 105*x^3 + 15*x^2 - x)*log(x) - 68719476736*x + 4294967296)
________________________________________________________________________________________
giac [B] time = 2.20, size = 2234, normalized size = 111.70 result too large to
display
Verification of antiderivative is not currently implemented for this CAS.
[In]
integrate((-47676770628055685775360*x+5269564078649052917760*x^4-42944775086917313740800*x^3+69931982822434036
162560*x^2-2540552850628977623040*x^6+5370248695124695449600*x^5+581300746103480647680*x^7+3576602943709249536
0*x^8+18071437116671262720*x^10-60238123722237542400*x^9-3285715839394775040*x^11+273809653282897920*x^12-4785
90418467834594293840+3264065424*x^12*log(x)^13+(717680770909470720*x^12-5929690303907758080*x^11+2160101467852
1118720*x^10-45460958996626145280*x^9+16038828825696165888*x^8+143054480486403440640*x^7-307645071755852759040
*x^6+272707941549300940800*x^5+86453785665336024432*x^4-134202422146616605440*x^3)*log(x)^4+(11671136471183523
84*x^12-10729915788023562240*x^11+44049127971886202880*x^10-106169693060443668480*x^9+43813386060438306816*x^8
+470490291377504649216*x^7-1270276425314488811520*x^6+1510382445503820595200*x^5+724565060814244776192*x^4-228
1441176492482292480*x^3+874149785280425452032*x^2)*log(x)^3+(1293750611761692672*x^12-13101791909586665472*x^1
1+59861635448973557760*x^10-162642934050041364480*x^9+76896963289748865024*x^8+966412490397036576768*x^7-31439
34152653359808512*x^6+4698967608234108518400*x^5+3029999345223205427712*x^4-14493861591834593387520*x^3+113639
47208645530876416*x^2-2383838531402784288768*x)*log(x)^2+(172995467472*x^12-156675140352*x^11)*log(x)^12+(4230
228789504*x^12-7677081877248*x^11+3446853087744*x^10)*log(x)^11+(63192306608640*x^12-172342654387200*x^11+1551
08388948480*x^10-45958041169920*x^9)*log(x)^10+(643412576378880*x^12-2343860099665920*x^11+3171104840724480*x^
10-1884279687966720*x^9+109149259756752*x^8)*log(x)^9+(876190890505273344*x^12-9692861726214586368*x^11+487928
80215012409344*x^10-147583403119481978880*x^9+78685264761603489792*x^8+1133536454901787262976*x^7-431893984606
9261959168*x^6+7786860607930808401920*x^5+6323476894378863501312*x^4-40797536332571448053760*x^3+4895238797570
3825313792*x^2-21454546782625058598912*x-95718083693566918858768)*log(x)+(4715295024033792*x^12-21508363267522
560*x^11+38880502829752320*x^10-34744279124459520*x^9+4038522610999824*x^8+7095956373333504*x^7)*log(x)^8+(255
89437323411456*x^12-140300708083531776*x^11+317661980566487040*x^10-379429587898859520*x^9+66362749932105216*x
^8+234166560320005632*x^7-124050432159618048*x^6)*log(x)^7+(104122538074570752*x^12-667090159189622784*x^11+18
15967655571750912*x^10-2717774722624389120*x^9+635685288823323648*x^8+3377675233706747904*x^7-3597462532628923
392*x^6+1048876698266542080*x^5)*log(x)^6+(317661980566487040*x^12-2329521190820904960*x^11+741211287988469760
0*x^10-13341803183792455680*x^9+3911909469681991680*x^8+27816148983467335680*x^7-44658155577462497280*x^6+2622
1917456663552000*x^5+4116846936444572592*x^4)*log(x)^5)/(-1391569403904+23656679866368*x-3311935181291520*x^4+
946267194654720*x^3-189253438930944*x^2-17222062942715904*x^6+8611031471357952*x^5+27063241767124992*x^7-33829
052208906240*x^8-27063241767124992*x^10+33829052208906240*x^9+189253438930944*x^15-23656679866368*x^16+1722206
2942715904*x^11-8611031471357952*x^12+3311935181291520*x^13-946267194654720*x^14+1391569403904*x^17+81*x^17*lo
g(x)^17+(5508*x^17-5508*x^16)*log(x)^16+(176256*x^17-352512*x^16+176256*x^15)*log(x)^15+(3525120*x^17-10575360
*x^16+10575360*x^15-3525120*x^14)*log(x)^14+(49351680*x^17-197406720*x^16+296110080*x^15-197406720*x^14+493516
80*x^13)*log(x)^13+(513257472*x^17-2566287360*x^16+5132574720*x^15-5132574720*x^14+2566287360*x^13-513257472*x
^12)*log(x)^12+(4106059776*x^17-24636358656*x^16+61590896640*x^15-82121195520*x^14+61590896640*x^13-2463635865
6*x^12+4106059776*x^11)*log(x)^11+(25809518592*x^17-180666630144*x^16+541999890432*x^15-903333150720*x^14+9033
33150720*x^13-541999890432*x^12+180666630144*x^11-25809518592*x^10)*log(x)^10+(129047592960*x^17-1032380743680
*x^16+3613332602880*x^15-7226665205760*x^14+9033331507200*x^13-7226665205760*x^12+3613332602880*x^11-103238074
3680*x^10+129047592960*x^9)*log(x)^9+(5914169966592*x^17-94626719465472*x^16+709700395991040*x^15-331193518129
1520*x^14+10763789339197440*x^13-25833094414073856*x^12+47360673092468736*x^11-67658104417812480*x^10+76115367
470039040*x^9-67658104417812480*x^8+47360673092468736*x^7-25833094414073856*x^6+10763789339197440*x^5-33119351
81291520*x^4+709700395991040*x^3-94626719465472*x^2+5914169966592*x)*log(x)+(516190371840*x^17-4645713346560*x
^16+18582853386240*x^15-43359991234560*x^14+65039986851840*x^13-65039986851840*x^12+43359991234560*x^11-185828
53386240*x^10+4645713346560*x^9-516190371840*x^8)*log(x)^8+(1651809189888*x^17-16518091898880*x^16+74331413544
960*x^15-198217102786560*x^14+346879929876480*x^13-416255915851776*x^12+346879929876480*x^11-198217102786560*x
^10+74331413544960*x^9-16518091898880*x^8+1651809189888*x^7)*log(x)^7+(4204605210624*x^17-46250657316864*x^16+
231253286584320*x^15-693759859752960*x^14+1387519719505920*x^13-1942527607308288*x^12+1942527607308288*x^11-13
87519719505920*x^10+693759859752960*x^9-231253286584320*x^8+46250657316864*x^7-4204605210624*x^6)*log(x)^6+(84
09210421248*x^17-100910525054976*x^16+555007887802368*x^15-1850026292674560*x^14+4162559158517760*x^13-6660094
653628416*x^12+7770110429233152*x^11-6660094653628416*x^10+4162559158517760*x^9-1850026292674560*x^8+555007887
802368*x^7-100910525054976*x^6+8409210421248*x^5)*log(x)^5+(12937246801920*x^17-168184208424960*x^16+100910525
0549760*x^15-3700052585349120*x^14+9250131463372800*x^13-16650236634071040*x^12+22200315512094720*x^11-2220031
5512094720*x^10+16650236634071040*x^9-9250131463372800*x^8+3700052585349120*x^7-1009105250549760*x^6+168184208
424960*x^5-12937246801920*x^4)*log(x)^4+(14785424916480*x^17-206995948830720*x^16+1345473667399680*x^15-538189
4669598720*x^14+14800210341396480*x^13-29600420682792960*x^12+44400631024189440*x^11-50743578313359360*x^10+44
400631024189440*x^9-29600420682792960*x^8+14800210341396480*x^7-5381894669598720*x^6+1345473667399680*x^5-2069
95948830720*x^4+14785424916480*x^3)*log(x)^3+(11828339933184*x^17-177425098997760*x^16+1241975692984320*x^15-5
381894669598720*x^14+16145684008796160*x^13-35520504819351552*x^12+59200841365585920*x^11-76115367470039040*x^
10+76115367470039040*x^9-59200841365585920*x^8+35520504819351552*x^7-16145684008796160*x^6+5381894669598720*x^
5-1241975692984320*x^4+177425098997760*x^3-11828339933184*x^2)*log(x)^2),x, algorithm="giac")
[Out]
-279841/81*(2916*x^14*log(x)^12 + 139968*x^14*log(x)^11 + 11664*x^13*log(x)^12 + 3079296*x^14*log(x)^10 + 4199
04*x^13*log(x)^11 + 41057280*x^14*log(x)^9 + 6158592*x^13*log(x)^10 - 559872*x^12*log(x)^11 + 369515520*x^14*l
og(x)^8 + 41057280*x^13*log(x)^9 - 21555072*x^12*log(x)^10 + 2364899328*x^14*log(x)^7 - 369515520*x^12*log(x)^
9 + 12317184*x^11*log(x)^10 + 11036196864*x^14*log(x)^6 - 2364899328*x^13*log(x)^7 - 3695155200*x^12*log(x)^8
+ 451630080*x^11*log(x)^9 + 37838389248*x^14*log(x)^5 - 22072393728*x^13*log(x)^6 - 23648993280*x^12*log(x)^7
+ 7390310400*x^11*log(x)^8 - 164229120*x^10*log(x)^9 + 94595973120*x^14*log(x)^4 - 113515167744*x^13*log(x)^5
- 99325771776*x^12*log(x)^6 + 70946979840*x^11*log(x)^7 - 5678735526*x^10*log(x)^8 + 168170618880*x^14*log(x)^
3 - 378383892480*x^13*log(x)^4 - 264868724736*x^12*log(x)^5 + 441447874560*x^11*log(x)^6 - 87123563712*x^10*lo
g(x)^7 + 934051176*x^9*log(x)^8 + 201804742656*x^14*log(x)^2 - 840853094400*x^13*log(x)^3 - 378383892480*x^12*
log(x)^4 + 1854081073152*x^11*log(x)^5 - 778282017408*x^10*log(x)^6 + 31876825536*x^9*log(x)^7 + 146767085568*
x^14*log(x) - 1210828455936*x^13*log(x)^2 + 5297374494720*x^11*log(x)^4 - 4460464641024*x^10*log(x)^5 + 474096
188160*x^9*log(x)^6 + 7948751616*x^8*log(x)^7 + 48922361856*x^14 - 1027369598976*x^13*log(x) + 1009023713280*x
^12*log(x)^2 + 10090237132800*x^11*log(x)^3 - 17004948710400*x^10*log(x)^4 + 4015334550528*x^9*log(x)^5 + 1726
72020864*x^8*log(x)^6 - 391378894848*x^13 + 1614437941248*x^12*log(x) + 12108284559360*x^11*log(x)^2 - 4311477
0284544*x^10*log(x)^3 + 21189497978880*x^9*log(x)^4 + 1473347957760*x^8*log(x)^5 - 199572097536*x^7*log(x)^6 +
880602513408*x^12 + 8072189706240*x^11*log(x) - 70085161156608*x^10*log(x)^2 + 71367434256384*x^9*log(x)^3 +
5830877767680*x^8*log(x)^4 - 4340134960128*x^7*log(x)^5 + 2152583921664*x^11 - 66259287539712*x^10*log(x) + 14
9856949960704*x^9*log(x)^2 + 7357743267840*x^8*log(x)^3 - 38905395793920*x^7*log(x)^4 + 1798381522944*x^6*log(
x)^5 - 27748183965696*x^10 + 179404607324160*x^9*log(x) - 20659258884096*x^8*log(x)^2 - 183517023928320*x^7*lo
g(x)^3 + 36444253052196*x^6*log(x)^4 + 93772064489472*x^9 - 78636135481344*x^8*log(x) - 478615810867200*x^7*lo
g(x)^2 + 295367005164096*x^6*log(x)^3 + 1906490373264*x^5*log(x)^4 - 74129481400320*x^8 - 650688879919104*x^7*
log(x) + 1196719943642496*x^6*log(x)^2 - 6972511848768*x^5*log(x)^3 - 357061641633792*x^7 + 2423943733257216*x
^6*log(x) - 266693218018560*x^5*log(x)^2 - 149905431283968*x^4*log(x)^3 + 1963558063383552*x^6 - 1310803639852
032*x^5*log(x) - 1543618486173312*x^4*log(x)^2 - 1910425364987904*x^5 - 5153487187756032*x^4*log(x) + 10209867
56937216*x^3*log(x)^2 - 5510000574425088*x^4 + 7463859397364736*x^3*log(x) + 13519649478463488*x^3 - 281613863
2531968*x^2*log(x) - 32466329074087777*x^2 - 84807098175839620*x)/(x^18*log(x)^16 + 64*x^18*log(x)^15 + 4*x^17
*log(x)^16 + 1920*x^18*log(x)^14 + 192*x^17*log(x)^15 + 35840*x^18*log(x)^13 + 3840*x^17*log(x)^14 - 256*x^16*
log(x)^15 + 465920*x^18*log(x)^12 + 35840*x^17*log(x)^13 - 13440*x^16*log(x)^14 + 4472832*x^18*log(x)^11 - 322
560*x^16*log(x)^13 + 7680*x^15*log(x)^14 + 32800768*x^18*log(x)^10 - 4472832*x^17*log(x)^11 - 4659200*x^16*log
(x)^12 + 394240*x^15*log(x)^13 + 187432960*x^18*log(x)^9 - 65601536*x^17*log(x)^10 - 44728320*x^16*log(x)^11 +
9318400*x^15*log(x)^12 - 143360*x^14*log(x)^13 + 843448320*x^18*log(x)^8 - 562298880*x^17*log(x)^9 - 29520691
2*x^16*log(x)^10 + 134184960*x^15*log(x)^11 - 6988800*x^14*log(x)^12 + 2998927360*x^18*log(x)^7 - 3373793280*x
^17*log(x)^8 - 1312030720*x^16*log(x)^9 + 1312030720*x^15*log(x)^10 - 156549120*x^14*log(x)^11 + 1863680*x^13*
log(x)^12 + 8396996608*x^18*log(x)^6 - 14994636800*x^17*log(x)^7 - 3373793280*x^16*log(x)^8 + 9184215040*x^15*
log(x)^9 - 2132049920*x^14*log(x)^10 + 84983808*x^13*log(x)^11 + 18320719872*x^18*log(x)^5 - 50381979648*x^17*
log(x)^6 + 47233105920*x^15*log(x)^8 - 19680460800*x^14*log(x)^9 + 1771241472*x^13*log(x)^10 - 17891328*x^12*l
og(x)^11 + 30534533120*x^18*log(x)^4 - 128245039104*x^17*log(x)^5 + 41984983040*x^16*log(x)^6 + 179935641600*x
^15*log(x)^7 - 129891041280*x^14*log(x)^8 + 22304522240*x^13*log(x)^9 - 754417664*x^12*log(x)^10 + 37580963840
*x^18*log(x)^3 - 244276264960*x^17*log(x)^4 + 201527918592*x^16*log(x)^5 + 503819796480*x^15*log(x)^6 - 629774
745600*x^14*log(x)^7 + 188932423680*x^13*log(x)^8 - 14432337920*x^12*log(x)^9 + 131203072*x^11*log(x)^10 + 322
12254720*x^18*log(x)^2 - 338228674560*x^17*log(x)^3 + 549621596160*x^16*log(x)^4 + 1007639592960*x^15*log(x)^5
- 2267189084160*x^14*log(x)^6 + 1133594542080*x^13*log(x)^7 - 165315870720*x^12*log(x)^8 + 5060689920*x^11*lo
g(x)^9 + 17179869184*x^18*log(x) - 322122547200*x^17*log(x)^2 + 977105059840*x^16*log(x)^3 + 1343519457280*x^1
5*log(x)^4 - 6045837557760*x^14*log(x)^5 + 4937434005504*x^13*log(x)^6 - 1259549491200*x^12*log(x)^7 + 8771862
5280*x^11*log(x)^8 - 749731840*x^10*log(x)^9 + 4294967296*x^18 - 188978561024*x^17*log(x) + 1127428915200*x^16
*log(x)^2 + 977105059840*x^15*log(x)^3 - 11755795251200*x^14*log(x)^4 + 15719177650176*x^13*log(x)^5 - 6700803
293184*x^12*log(x)^6 + 899678208000*x^11*log(x)^7 - 26146897920*x^10*log(x)^8 - 51539607552*x^17 + 77309411328
0*x^16*log(x) - 16122233487360*x^14*log(x)^3 + 36275025346560*x^13*log(x)^4 - 25392517742592*x^12*log(x)^5 + 6
045837557760*x^11*log(x)^6 - 404855193600*x^10*log(x)^7 + 3373793280*x^9*log(x)^8 + 240518168576*x^16 - 601295
421440*x^15*log(x) - 14656575897600*x^14*log(x)^2 + 59114856120320*x^13*log(x)^3 - 68519492321280*x^12*log(x)^
4 + 27810852765696*x^11*log(x)^5 - 3652693524480*x^10*log(x)^6 + 104962457600*x^9*log(x)^7 - 343597383680*x^15
- 7816840478720*x^14*log(x) + 64488933949440*x^13*log(x)^2 - 128977867898880*x^12*log(x)^3 + 88672284180480*x
^11*log(x)^4 - 21160431452160*x^10*log(x)^5 + 1427489423360*x^9*log(x)^6 - 11995709440*x^8*log(x)^7 - 18038862
64320*x^14 + 42210938585088*x^13*log(x) - 161222334873600*x^12*log(x)^2 + 193466801848320*x^11*log(x)^3 - 8161
8807029760*x^10*log(x)^4 + 11084035522560*x^9*log(x)^5 - 327482867712*x^8*log(x)^6 + 12506944765952*x^13 - 120
379343372288*x^12*log(x) + 276381145497600*x^11*log(x)^2 - 209589035335680*x^10*log(x)^3 + 53740778291200*x^9*
log(x)^4 - 3829030453248*x^8*log(x)^5 + 33587986432*x^7*log(x)^6 - 40647570489344*x^12 + 233388522864640*x^11*
log(x) - 345476431872000*x^10*log(x)^2 + 166596412702720*x^9*log(x)^3 - 24855109959680*x^8*log(x)^4 + 78779095
4496*x^7*log(x)^5 + 88441966559232*x^11 - 331657374597120*x^10*log(x) + 322444669747200*x^9*log(x)^2 - 9673340
0924160*x^8*log(x)^3 + 7694702346240*x^7*log(x)^4 - 73282879488*x^6*log(x)^5 - 141261474365440*x^10 + 35622458
7530240*x^9*log(x) - 225711268823040*x^8*log(x)^2 + 40061307453440*x^7*log(x)^3 - 1435123056640*x^6*log(x)^4 +
171970490531840*x^9 - 292349833904128*x^8*log(x) + 117252607180800*x^7*log(x)^2 - 11236708188160*x^6*log(x)^3
+ 122138132480*x^5*log(x)^4 - 162143605358592*x^8 + 182914067202048*x^7*log(x) - 43969727692800*x^6*log(x)^2
+ 1916629155840*x^5*log(x)^3 + 118815975276544*x^7 - 85985245265920*x^6*log(x) + 11274289152000*x^5*log(x)^2 -
150323855360*x^4*log(x)^3 - 67224828116992*x^6 + 29463475650560*x^5*log(x) - 1771674009600*x^4*log(x)^2 + 288
62180229120*x^5 - 6957847019520*x^4*log(x) + 128849018880*x^3*log(x)^2 - 9105330667520*x^4 + 1013612281856*x^3
*log(x) + 1992864825344*x^3 - 68719476736*x^2*log(x) - 270582939648*x^2 + 17179869184*x)
________________________________________________________________________________________
maple [B] time = 0.18, size = 750, normalized size = 37.50
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result |
size |
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| risch |
\(-\frac {279841 \left (-21201774543959905-2816138632531968 x +3079296 x^{12} \ln \relax (x )^{10}+449595380736 x^{5} \ln \relax (x )^{5}-1197432585216 x^{6} \ln \relax (x )^{5}-49893024384 x^{6} \ln \relax (x )^{6}+667695135744 x^{7} \ln \relax (x )^{5}+13390557659136 x^{8} \ln \relax (x )^{3}+55641261312 x^{7} \ln \relax (x )^{6}-24216569118720 x^{9} \ln \relax (x )^{2}+1987187904 x^{7} \ln \relax (x )^{7}+836909853696 x^{8} \ln \relax (x )^{5}+8072189706240 x^{10} \ln \relax (x )+104613731712 x^{8} \ln \relax (x )^{6}-5297374494720 x^{9} \ln \relax (x )^{4}+7472409408 x^{8} \ln \relax (x )^{7}-1324343623680 x^{9} \ln \relax (x )^{5}+6054142279680 x^{10} \ln \relax (x )^{3}+233512794 x^{8} \ln \relax (x )^{8}-220723937280 x^{9} \ln \relax (x )^{6}+2648687247360 x^{10} \ln \relax (x )^{4}-2018047426560 x^{11} \ln \relax (x )^{2}-23648993280 x^{9} \ln \relax (x )^{7}+794606174208 x^{10} \ln \relax (x )^{5}-1513535569920 x^{11} \ln \relax (x )^{3}-1478062080 x^{9} \ln \relax (x )^{8}+165542952960 x^{10} \ln \relax (x )^{6}+201804742656 x^{12} \ln \relax (x )^{2}-41057280 x^{9} \ln \relax (x )^{9}+23648993280 x^{10} \ln \relax (x )^{7}-264868724736 x^{11} \ln \relax (x )^{5}+168170618880 x^{12} \ln \relax (x )^{3}+2217093120 x^{10} \ln \relax (x )^{8}-66217181184 x^{11} \ln \relax (x )^{6}+94595973120 x^{12} \ln \relax (x )^{4}+123171840 x^{10} \ln \relax (x )^{9}-11824496640 x^{11} \ln \relax (x )^{7}+37838389248 x^{12} \ln \relax (x )^{5}+3079296 x^{10} \ln \relax (x )^{10}-1478062080 x^{11} \ln \relax (x )^{8}+11036196864 x^{12} \ln \relax (x )^{6}-123171840 x^{11} \ln \relax (x )^{9}+2364899328 x^{12} \ln \relax (x )^{7}-6158592 x^{11} \ln \relax (x )^{10}+369515520 x^{12} \ln \relax (x )^{8}-139968 x^{11} \ln \relax (x )^{11}+41057280 x^{12} \ln \relax (x )^{9}+2041973513874432 x^{2} \ln \relax (x )+42732488687616 x^{7} \ln \relax (x )^{2}+17805203619840 x^{7} \ln \relax (x )^{3}-24216569118720 x^{9} \ln \relax (x )-14126331985920 x^{9} \ln \relax (x )^{3}+9081213419520 x^{10} \ln \relax (x )^{2}-1614437941248 x^{11} \ln \relax (x )-11974325852160 x^{6} \ln \relax (x )^{4}+4451300904960 x^{7} \ln \relax (x )^{4}+48922361856 x^{12}-587068342272 x^{11}+255246689234304 x^{2} \ln \relax (x )^{2}+3228875882496 x^{10}-10762919608320 x^{9}+32558086619136 x^{7}+15303494467584 x^{8}+122015383888896 x^{4}-2398486900543488 x^{3}+4083947027748864 x^{2}-204361827876864 x^{6}+460385669873664 x^{5}-1798865175407616 x^{3} \ln \relax (x )+26781115318272 x^{8} \ln \relax (x )^{2}-191589213634560 x^{6} \ln \relax (x )^{2}-306542741815296 x^{6} \ln \relax (x )+56976651583488 x^{7} \ln \relax (x )+7625961493056 x^{4} \ln \relax (x )^{3}-63863071211520 x^{6} \ln \relax (x )^{3}+71935260917760 x^{5} \ln \relax (x )^{3}-37476357820992 x^{3} \ln \relax (x )^{3}+146767085568 x^{12} \ln \relax (x )+575482087342080 x^{5} \ln \relax (x )+45755768958336 x^{4} \ln \relax (x )^{2}+30606988935168 x^{8} \ln \relax (x )+122015383888896 x^{4} \ln \relax (x )-704034658132992 x \ln \relax (x )+8991907614720 x^{5} \ln \relax (x )^{4}-756767784960 x^{11} \ln \relax (x )^{4}+4184549268480 x^{8} \ln \relax (x )^{4}+476622593316 x^{4} \ln \relax (x )^{4}+287741043671040 x^{5} \ln \relax (x )^{2}-449716293851904 x^{3} \ln \relax (x )^{2}+2916 x^{12} \ln \relax (x )^{12}+139968 x^{12} \ln \relax (x )^{11}\right )}{81 \left (x \ln \relax (x )+4 x -4\right )^{16}}\) |
\(750\) |
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Verification of antiderivative is not currently implemented for this CAS.
[In]
int((-47676770628055685775360*x+273809653282897920*x^12-3285715839394775040*x^11+18071437116671262720*x^10-602
38123722237542400*x^9+581300746103480647680*x^7+35766029437092495360*x^8+5269564078649052917760*x^4-4294477508
6917313740800*x^3+69931982822434036162560*x^2-2540552850628977623040*x^6+5370248695124695449600*x^5+3264065424
*x^12*ln(x)^13-478590418467834594293840+(63192306608640*x^12-172342654387200*x^11+155108388948480*x^10-4595804
1169920*x^9)*ln(x)^10+(643412576378880*x^12-2343860099665920*x^11+3171104840724480*x^10-1884279687966720*x^9+1
09149259756752*x^8)*ln(x)^9+(4715295024033792*x^12-21508363267522560*x^11+38880502829752320*x^10-3474427912445
9520*x^9+4038522610999824*x^8+7095956373333504*x^7)*ln(x)^8+(25589437323411456*x^12-140300708083531776*x^11+31
7661980566487040*x^10-379429587898859520*x^9+66362749932105216*x^8+234166560320005632*x^7-124050432159618048*x
^6)*ln(x)^7+(104122538074570752*x^12-667090159189622784*x^11+1815967655571750912*x^10-2717774722624389120*x^9+
635685288823323648*x^8+3377675233706747904*x^7-3597462532628923392*x^6+1048876698266542080*x^5)*ln(x)^6+(31766
1980566487040*x^12-2329521190820904960*x^11+7412112879884697600*x^10-13341803183792455680*x^9+3911909469681991
680*x^8+27816148983467335680*x^7-44658155577462497280*x^6+26221917456663552000*x^5+4116846936444572592*x^4)*ln
(x)^5+(717680770909470720*x^12-5929690303907758080*x^11+21601014678521118720*x^10-45460958996626145280*x^9+160
38828825696165888*x^8+143054480486403440640*x^7-307645071755852759040*x^6+272707941549300940800*x^5+8645378566
5336024432*x^4-134202422146616605440*x^3)*ln(x)^4+(1167113647118352384*x^12-10729915788023562240*x^11+44049127
971886202880*x^10-106169693060443668480*x^9+43813386060438306816*x^8+470490291377504649216*x^7-127027642531448
8811520*x^6+1510382445503820595200*x^5+724565060814244776192*x^4-2281441176492482292480*x^3+874149785280425452
032*x^2)*ln(x)^3+(1293750611761692672*x^12-13101791909586665472*x^11+59861635448973557760*x^10-162642934050041
364480*x^9+76896963289748865024*x^8+966412490397036576768*x^7-3143934152653359808512*x^6+469896760823410851840
0*x^5+3029999345223205427712*x^4-14493861591834593387520*x^3+11363947208645530876416*x^2-238383853140278428876
8*x)*ln(x)^2+(172995467472*x^12-156675140352*x^11)*ln(x)^12+(4230228789504*x^12-7677081877248*x^11+34468530877
44*x^10)*ln(x)^11+(876190890505273344*x^12-9692861726214586368*x^11+48792880215012409344*x^10-1475834031194819
78880*x^9+78685264761603489792*x^8+1133536454901787262976*x^7-4318939846069261959168*x^6+778686060793080840192
0*x^5+6323476894378863501312*x^4-40797536332571448053760*x^3+48952387975703825313792*x^2-214545467826250585989
12*x-95718083693566918858768)*ln(x))/(-1391569403904+23656679866368*x+1391569403904*x^17-8611031471357952*x^12
+3311935181291520*x^13-946267194654720*x^14+17222062942715904*x^11-23656679866368*x^16+189253438930944*x^15-27
063241767124992*x^10+33829052208906240*x^9+27063241767124992*x^7-33829052208906240*x^8-3311935181291520*x^4+94
6267194654720*x^3-189253438930944*x^2-17222062942715904*x^6+8611031471357952*x^5+81*x^17*ln(x)^17+(12937246801
920*x^17-168184208424960*x^16+1009105250549760*x^15-3700052585349120*x^14+9250131463372800*x^13-16650236634071
040*x^12+22200315512094720*x^11-22200315512094720*x^10+16650236634071040*x^9-9250131463372800*x^8+370005258534
9120*x^7-1009105250549760*x^6+168184208424960*x^5-12937246801920*x^4)*ln(x)^4+(14785424916480*x^17-20699594883
0720*x^16+1345473667399680*x^15-5381894669598720*x^14+14800210341396480*x^13-29600420682792960*x^12+4440063102
4189440*x^11-50743578313359360*x^10+44400631024189440*x^9-29600420682792960*x^8+14800210341396480*x^7-53818946
69598720*x^6+1345473667399680*x^5-206995948830720*x^4+14785424916480*x^3)*ln(x)^3+(11828339933184*x^17-1774250
98997760*x^16+1241975692984320*x^15-5381894669598720*x^14+16145684008796160*x^13-35520504819351552*x^12+592008
41365585920*x^11-76115367470039040*x^10+76115367470039040*x^9-59200841365585920*x^8+35520504819351552*x^7-1614
5684008796160*x^6+5381894669598720*x^5-1241975692984320*x^4+177425098997760*x^3-11828339933184*x^2)*ln(x)^2+(5
508*x^17-5508*x^16)*ln(x)^16+(176256*x^17-352512*x^16+176256*x^15)*ln(x)^15+(3525120*x^17-10575360*x^16+105753
60*x^15-3525120*x^14)*ln(x)^14+(49351680*x^17-197406720*x^16+296110080*x^15-197406720*x^14+49351680*x^13)*ln(x
)^13+(513257472*x^17-2566287360*x^16+5132574720*x^15-5132574720*x^14+2566287360*x^13-513257472*x^12)*ln(x)^12+
(4106059776*x^17-24636358656*x^16+61590896640*x^15-82121195520*x^14+61590896640*x^13-24636358656*x^12+41060597
76*x^11)*ln(x)^11+(25809518592*x^17-180666630144*x^16+541999890432*x^15-903333150720*x^14+903333150720*x^13-54
1999890432*x^12+180666630144*x^11-25809518592*x^10)*ln(x)^10+(129047592960*x^17-1032380743680*x^16+36133326028
80*x^15-7226665205760*x^14+9033331507200*x^13-7226665205760*x^12+3613332602880*x^11-1032380743680*x^10+1290475
92960*x^9)*ln(x)^9+(5914169966592*x^17-94626719465472*x^16+709700395991040*x^15-3311935181291520*x^14+10763789
339197440*x^13-25833094414073856*x^12+47360673092468736*x^11-67658104417812480*x^10+76115367470039040*x^9-6765
8104417812480*x^8+47360673092468736*x^7-25833094414073856*x^6+10763789339197440*x^5-3311935181291520*x^4+70970
0395991040*x^3-94626719465472*x^2+5914169966592*x)*ln(x)+(516190371840*x^17-4645713346560*x^16+18582853386240*
x^15-43359991234560*x^14+65039986851840*x^13-65039986851840*x^12+43359991234560*x^11-18582853386240*x^10+46457
13346560*x^9-516190371840*x^8)*ln(x)^8+(1651809189888*x^17-16518091898880*x^16+74331413544960*x^15-19821710278
6560*x^14+346879929876480*x^13-416255915851776*x^12+346879929876480*x^11-198217102786560*x^10+74331413544960*x
^9-16518091898880*x^8+1651809189888*x^7)*ln(x)^7+(4204605210624*x^17-46250657316864*x^16+231253286584320*x^15-
693759859752960*x^14+1387519719505920*x^13-1942527607308288*x^12+1942527607308288*x^11-1387519719505920*x^10+6
93759859752960*x^9-231253286584320*x^8+46250657316864*x^7-4204605210624*x^6)*ln(x)^6+(8409210421248*x^17-10091
0525054976*x^16+555007887802368*x^15-1850026292674560*x^14+4162559158517760*x^13-6660094653628416*x^12+7770110
429233152*x^11-6660094653628416*x^10+4162559158517760*x^9-1850026292674560*x^8+555007887802368*x^7-10091052505
4976*x^6+8409210421248*x^5)*ln(x)^5),x,method=_RETURNVERBOSE)
[Out]
-279841/81*(-21201774543959905-2816138632531968*x+3079296*x^12*ln(x)^10+449595380736*x^5*ln(x)^5-1197432585216
*x^6*ln(x)^5-49893024384*x^6*ln(x)^6+667695135744*x^7*ln(x)^5+13390557659136*x^8*ln(x)^3+55641261312*x^7*ln(x)
^6-24216569118720*x^9*ln(x)^2+1987187904*x^7*ln(x)^7+836909853696*x^8*ln(x)^5+8072189706240*x^10*ln(x)+1046137
31712*x^8*ln(x)^6-5297374494720*x^9*ln(x)^4+7472409408*x^8*ln(x)^7-1324343623680*x^9*ln(x)^5+6054142279680*x^1
0*ln(x)^3+233512794*x^8*ln(x)^8-220723937280*x^9*ln(x)^6+2648687247360*x^10*ln(x)^4-2018047426560*x^11*ln(x)^2
-23648993280*x^9*ln(x)^7+794606174208*x^10*ln(x)^5-1513535569920*x^11*ln(x)^3-1478062080*x^9*ln(x)^8+165542952
960*x^10*ln(x)^6+201804742656*x^12*ln(x)^2-41057280*x^9*ln(x)^9+23648993280*x^10*ln(x)^7-264868724736*x^11*ln(
x)^5+168170618880*x^12*ln(x)^3+2217093120*x^10*ln(x)^8-66217181184*x^11*ln(x)^6+94595973120*x^12*ln(x)^4+12317
1840*x^10*ln(x)^9-11824496640*x^11*ln(x)^7+37838389248*x^12*ln(x)^5+3079296*x^10*ln(x)^10-1478062080*x^11*ln(x
)^8+11036196864*x^12*ln(x)^6-123171840*x^11*ln(x)^9+2364899328*x^12*ln(x)^7-6158592*x^11*ln(x)^10+369515520*x^
12*ln(x)^8-139968*x^11*ln(x)^11+41057280*x^12*ln(x)^9+2041973513874432*x^2*ln(x)+42732488687616*x^7*ln(x)^2+17
805203619840*x^7*ln(x)^3-24216569118720*x^9*ln(x)-14126331985920*x^9*ln(x)^3+9081213419520*x^10*ln(x)^2-161443
7941248*x^11*ln(x)-11974325852160*x^6*ln(x)^4+4451300904960*x^7*ln(x)^4+48922361856*x^12-587068342272*x^11+255
246689234304*x^2*ln(x)^2+3228875882496*x^10-10762919608320*x^9+32558086619136*x^7+15303494467584*x^8+122015383
888896*x^4-2398486900543488*x^3+4083947027748864*x^2-204361827876864*x^6+460385669873664*x^5-1798865175407616*
x^3*ln(x)+26781115318272*x^8*ln(x)^2-191589213634560*x^6*ln(x)^2-306542741815296*x^6*ln(x)+56976651583488*x^7*
ln(x)+7625961493056*x^4*ln(x)^3-63863071211520*x^6*ln(x)^3+71935260917760*x^5*ln(x)^3-37476357820992*x^3*ln(x)
^3+146767085568*x^12*ln(x)+575482087342080*x^5*ln(x)+45755768958336*x^4*ln(x)^2+30606988935168*x^8*ln(x)+12201
5383888896*x^4*ln(x)-704034658132992*x*ln(x)+8991907614720*x^5*ln(x)^4-756767784960*x^11*ln(x)^4+4184549268480
*x^8*ln(x)^4+476622593316*x^4*ln(x)^4+287741043671040*x^5*ln(x)^2-449716293851904*x^3*ln(x)^2+2916*x^12*ln(x)^
12+139968*x^12*ln(x)^11)/(x*ln(x)+4*x-4)^16
________________________________________________________________________________________
maxima [B] time = 2.51, size = 1343, normalized size = 67.15 result too large to
display
Verification of antiderivative is not currently implemented for this CAS.
[In]
integrate((-47676770628055685775360*x+5269564078649052917760*x^4-42944775086917313740800*x^3+69931982822434036
162560*x^2-2540552850628977623040*x^6+5370248695124695449600*x^5+581300746103480647680*x^7+3576602943709249536
0*x^8+18071437116671262720*x^10-60238123722237542400*x^9-3285715839394775040*x^11+273809653282897920*x^12-4785
90418467834594293840+3264065424*x^12*log(x)^13+(717680770909470720*x^12-5929690303907758080*x^11+2160101467852
1118720*x^10-45460958996626145280*x^9+16038828825696165888*x^8+143054480486403440640*x^7-307645071755852759040
*x^6+272707941549300940800*x^5+86453785665336024432*x^4-134202422146616605440*x^3)*log(x)^4+(11671136471183523
84*x^12-10729915788023562240*x^11+44049127971886202880*x^10-106169693060443668480*x^9+43813386060438306816*x^8
+470490291377504649216*x^7-1270276425314488811520*x^6+1510382445503820595200*x^5+724565060814244776192*x^4-228
1441176492482292480*x^3+874149785280425452032*x^2)*log(x)^3+(1293750611761692672*x^12-13101791909586665472*x^1
1+59861635448973557760*x^10-162642934050041364480*x^9+76896963289748865024*x^8+966412490397036576768*x^7-31439
34152653359808512*x^6+4698967608234108518400*x^5+3029999345223205427712*x^4-14493861591834593387520*x^3+113639
47208645530876416*x^2-2383838531402784288768*x)*log(x)^2+(172995467472*x^12-156675140352*x^11)*log(x)^12+(4230
228789504*x^12-7677081877248*x^11+3446853087744*x^10)*log(x)^11+(63192306608640*x^12-172342654387200*x^11+1551
08388948480*x^10-45958041169920*x^9)*log(x)^10+(643412576378880*x^12-2343860099665920*x^11+3171104840724480*x^
10-1884279687966720*x^9+109149259756752*x^8)*log(x)^9+(876190890505273344*x^12-9692861726214586368*x^11+487928
80215012409344*x^10-147583403119481978880*x^9+78685264761603489792*x^8+1133536454901787262976*x^7-431893984606
9261959168*x^6+7786860607930808401920*x^5+6323476894378863501312*x^4-40797536332571448053760*x^3+4895238797570
3825313792*x^2-21454546782625058598912*x-95718083693566918858768)*log(x)+(4715295024033792*x^12-21508363267522
560*x^11+38880502829752320*x^10-34744279124459520*x^9+4038522610999824*x^8+7095956373333504*x^7)*log(x)^8+(255
89437323411456*x^12-140300708083531776*x^11+317661980566487040*x^10-379429587898859520*x^9+66362749932105216*x
^8+234166560320005632*x^7-124050432159618048*x^6)*log(x)^7+(104122538074570752*x^12-667090159189622784*x^11+18
15967655571750912*x^10-2717774722624389120*x^9+635685288823323648*x^8+3377675233706747904*x^7-3597462532628923
392*x^6+1048876698266542080*x^5)*log(x)^6+(317661980566487040*x^12-2329521190820904960*x^11+741211287988469760
0*x^10-13341803183792455680*x^9+3911909469681991680*x^8+27816148983467335680*x^7-44658155577462497280*x^6+2622
1917456663552000*x^5+4116846936444572592*x^4)*log(x)^5)/(-1391569403904+23656679866368*x-3311935181291520*x^4+
946267194654720*x^3-189253438930944*x^2-17222062942715904*x^6+8611031471357952*x^5+27063241767124992*x^7-33829
052208906240*x^8-27063241767124992*x^10+33829052208906240*x^9+189253438930944*x^15-23656679866368*x^16+1722206
2942715904*x^11-8611031471357952*x^12+3311935181291520*x^13-946267194654720*x^14+1391569403904*x^17+81*x^17*lo
g(x)^17+(5508*x^17-5508*x^16)*log(x)^16+(176256*x^17-352512*x^16+176256*x^15)*log(x)^15+(3525120*x^17-10575360
*x^16+10575360*x^15-3525120*x^14)*log(x)^14+(49351680*x^17-197406720*x^16+296110080*x^15-197406720*x^14+493516
80*x^13)*log(x)^13+(513257472*x^17-2566287360*x^16+5132574720*x^15-5132574720*x^14+2566287360*x^13-513257472*x
^12)*log(x)^12+(4106059776*x^17-24636358656*x^16+61590896640*x^15-82121195520*x^14+61590896640*x^13-2463635865
6*x^12+4106059776*x^11)*log(x)^11+(25809518592*x^17-180666630144*x^16+541999890432*x^15-903333150720*x^14+9033
33150720*x^13-541999890432*x^12+180666630144*x^11-25809518592*x^10)*log(x)^10+(129047592960*x^17-1032380743680
*x^16+3613332602880*x^15-7226665205760*x^14+9033331507200*x^13-7226665205760*x^12+3613332602880*x^11-103238074
3680*x^10+129047592960*x^9)*log(x)^9+(5914169966592*x^17-94626719465472*x^16+709700395991040*x^15-331193518129
1520*x^14+10763789339197440*x^13-25833094414073856*x^12+47360673092468736*x^11-67658104417812480*x^10+76115367
470039040*x^9-67658104417812480*x^8+47360673092468736*x^7-25833094414073856*x^6+10763789339197440*x^5-33119351
81291520*x^4+709700395991040*x^3-94626719465472*x^2+5914169966592*x)*log(x)+(516190371840*x^17-4645713346560*x
^16+18582853386240*x^15-43359991234560*x^14+65039986851840*x^13-65039986851840*x^12+43359991234560*x^11-185828
53386240*x^10+4645713346560*x^9-516190371840*x^8)*log(x)^8+(1651809189888*x^17-16518091898880*x^16+74331413544
960*x^15-198217102786560*x^14+346879929876480*x^13-416255915851776*x^12+346879929876480*x^11-198217102786560*x
^10+74331413544960*x^9-16518091898880*x^8+1651809189888*x^7)*log(x)^7+(4204605210624*x^17-46250657316864*x^16+
231253286584320*x^15-693759859752960*x^14+1387519719505920*x^13-1942527607308288*x^12+1942527607308288*x^11-13
87519719505920*x^10+693759859752960*x^9-231253286584320*x^8+46250657316864*x^7-4204605210624*x^6)*log(x)^6+(84
09210421248*x^17-100910525054976*x^16+555007887802368*x^15-1850026292674560*x^14+4162559158517760*x^13-6660094
653628416*x^12+7770110429233152*x^11-6660094653628416*x^10+4162559158517760*x^9-1850026292674560*x^8+555007887
802368*x^7-100910525054976*x^6+8409210421248*x^5)*log(x)^5+(12937246801920*x^17-168184208424960*x^16+100910525
0549760*x^15-3700052585349120*x^14+9250131463372800*x^13-16650236634071040*x^12+22200315512094720*x^11-2220031
5512094720*x^10+16650236634071040*x^9-9250131463372800*x^8+3700052585349120*x^7-1009105250549760*x^6+168184208
424960*x^5-12937246801920*x^4)*log(x)^4+(14785424916480*x^17-206995948830720*x^16+1345473667399680*x^15-538189
4669598720*x^14+14800210341396480*x^13-29600420682792960*x^12+44400631024189440*x^11-50743578313359360*x^10+44
400631024189440*x^9-29600420682792960*x^8+14800210341396480*x^7-5381894669598720*x^6+1345473667399680*x^5-2069
95948830720*x^4+14785424916480*x^3)*log(x)^3+(11828339933184*x^17-177425098997760*x^16+1241975692984320*x^15-5
381894669598720*x^14+16145684008796160*x^13-35520504819351552*x^12+59200841365585920*x^11-76115367470039040*x^
10+76115367470039040*x^9-59200841365585920*x^8+35520504819351552*x^7-16145684008796160*x^6+5381894669598720*x^
5-1241975692984320*x^4+177425098997760*x^3-11828339933184*x^2)*log(x)^2),x, algorithm="maxima")
[Out]
-279841/81*(2916*x^12*log(x)^12 + 48922361856*x^12 + 139968*(x^12 - x^11)*log(x)^11 - 587068342272*x^11 + 3079
296*(x^12 - 2*x^11 + x^10)*log(x)^10 + 3228875882496*x^10 + 41057280*(x^12 - 3*x^11 + 3*x^10 - x^9)*log(x)^9 -
10762919608320*x^9 + 486*(760320*x^12 - 3041280*x^11 + 4561920*x^10 - 3041280*x^9 + 480479*x^8)*log(x)^8 + 15
303494467584*x^8 + 15552*(152064*x^12 - 760320*x^11 + 1520640*x^10 - 1520640*x^9 + 480479*x^8 + 127777*x^7)*lo
g(x)^7 + 32558086619136*x^7 + 217728*(50688*x^12 - 304128*x^11 + 760320*x^10 - 1013760*x^9 + 480479*x^8 + 2555
54*x^7 - 229153*x^6)*log(x)^6 - 204361827876864*x^6 + 248832*(152064*x^12 - 1064448*x^11 + 3193344*x^10 - 5322
240*x^9 + 3363353*x^8 + 2683317*x^7 - 4812213*x^6 + 1806823*x^5)*log(x)^5 + 460385669873664*x^5 + 36*(26276659
20*x^12 - 21021327360*x^11 + 73574645760*x^10 - 147149291520*x^9 + 116237479680*x^8 + 123647247360*x^7 - 33262
0162560*x^6 + 249775211520*x^5 + 13239516481*x^4)*log(x)^4 + 122015383888896*x^4 + 576*(291962880*x^12 - 26276
65920*x^11 + 10510663680*x^10 - 24524881920*x^9 + 23247495936*x^8 + 30911811840*x^7 - 110873387520*x^6 + 12488
7605760*x^5 + 13239516481*x^4 - 65063121217*x^3)*log(x)^3 - 2398486900543488*x^3 + 3456*(58392576*x^12 - 58392
5760*x^11 + 2627665920*x^10 - 7007109120*x^9 + 7749165312*x^8 + 12364724736*x^7 - 55436693760*x^6 + 8325840384
0*x^5 + 13239516481*x^4 - 130126242434*x^3 + 73856102209*x^2)*log(x)^2 + 4083947027748864*x^2 + 9216*(15925248
*x^12 - 175177728*x^11 + 875888640*x^10 - 2627665920*x^9 + 3321070848*x^8 + 6182362368*x^7 - 33262016256*x^6 +
62443802880*x^5 + 13239516481*x^4 - 195189363651*x^3 + 221568306627*x^2 - 76392649537*x)*log(x) - 28161386325
31968*x - 21201774543959905)/(x^16*log(x)^16 + 4294967296*x^16 + 64*(x^16 - x^15)*log(x)^15 - 68719476736*x^15
+ 1920*(x^16 - 2*x^15 + x^14)*log(x)^14 + 515396075520*x^14 + 35840*(x^16 - 3*x^15 + 3*x^14 - x^13)*log(x)^13
- 2405181685760*x^13 + 465920*(x^16 - 4*x^15 + 6*x^14 - 4*x^13 + x^12)*log(x)^12 + 7816840478720*x^12 + 44728
32*(x^16 - 5*x^15 + 10*x^14 - 10*x^13 + 5*x^12 - x^11)*log(x)^11 - 18760417148928*x^11 + 32800768*(x^16 - 6*x^
15 + 15*x^14 - 20*x^13 + 15*x^12 - 6*x^11 + x^10)*log(x)^10 + 34394098106368*x^10 + 187432960*(x^16 - 7*x^15 +
21*x^14 - 35*x^13 + 35*x^12 - 21*x^11 + 7*x^10 - x^9)*log(x)^9 - 49134425866240*x^9 + 843448320*(x^16 - 8*x^1
5 + 28*x^14 - 56*x^13 + 70*x^12 - 56*x^11 + 28*x^10 - 8*x^9 + x^8)*log(x)^8 + 55276229099520*x^8 + 2998927360*
(x^16 - 9*x^15 + 36*x^14 - 84*x^13 + 126*x^12 - 126*x^11 + 84*x^10 - 36*x^9 + 9*x^8 - x^7)*log(x)^7 - 49134425
866240*x^7 + 8396996608*(x^16 - 10*x^15 + 45*x^14 - 120*x^13 + 210*x^12 - 252*x^11 + 210*x^10 - 120*x^9 + 45*x
^8 - 10*x^7 + x^6)*log(x)^6 + 34394098106368*x^6 + 18320719872*(x^16 - 11*x^15 + 55*x^14 - 165*x^13 + 330*x^12
- 462*x^11 + 462*x^10 - 330*x^9 + 165*x^8 - 55*x^7 + 11*x^6 - x^5)*log(x)^5 - 18760417148928*x^5 + 3053453312
0*(x^16 - 12*x^15 + 66*x^14 - 220*x^13 + 495*x^12 - 792*x^11 + 924*x^10 - 792*x^9 + 495*x^8 - 220*x^7 + 66*x^6
- 12*x^5 + x^4)*log(x)^4 + 7816840478720*x^4 + 37580963840*(x^16 - 13*x^15 + 78*x^14 - 286*x^13 + 715*x^12 -
1287*x^11 + 1716*x^10 - 1716*x^9 + 1287*x^8 - 715*x^7 + 286*x^6 - 78*x^5 + 13*x^4 - x^3)*log(x)^3 - 2405181685
760*x^3 + 32212254720*(x^16 - 14*x^15 + 91*x^14 - 364*x^13 + 1001*x^12 - 2002*x^11 + 3003*x^10 - 3432*x^9 + 30
03*x^8 - 2002*x^7 + 1001*x^6 - 364*x^5 + 91*x^4 - 14*x^3 + x^2)*log(x)^2 + 515396075520*x^2 + 17179869184*(x^1
6 - 15*x^15 + 105*x^14 - 455*x^13 + 1365*x^12 - 3003*x^11 + 5005*x^10 - 6435*x^9 + 6435*x^8 - 5005*x^7 + 3003*
x^6 - 1365*x^5 + 455*x^4 - 105*x^3 + 15*x^2 - x)*log(x) - 68719476736*x + 4294967296)
________________________________________________________________________________________
mupad [F] time = 0.00, size = -1, normalized size = -0.05 result too large to
display
Verification of antiderivative is not currently implemented for this CAS.
[In]
int((log(x)^7*(234166560320005632*x^7 - 124050432159618048*x^6 + 66362749932105216*x^8 - 379429587898859520*x^
9 + 317661980566487040*x^10 - 140300708083531776*x^11 + 25589437323411456*x^12) - log(x)^10*(45958041169920*x^
9 - 155108388948480*x^10 + 172342654387200*x^11 - 63192306608640*x^12) - 47676770628055685775360*x + log(x)^4*
(86453785665336024432*x^4 - 134202422146616605440*x^3 + 272707941549300940800*x^5 - 307645071755852759040*x^6
+ 143054480486403440640*x^7 + 16038828825696165888*x^8 - 45460958996626145280*x^9 + 21601014678521118720*x^10
- 5929690303907758080*x^11 + 717680770909470720*x^12) + log(x)^2*(11363947208645530876416*x^2 - 23838385314027
84288768*x - 14493861591834593387520*x^3 + 3029999345223205427712*x^4 + 4698967608234108518400*x^5 - 314393415
2653359808512*x^6 + 966412490397036576768*x^7 + 76896963289748865024*x^8 - 162642934050041364480*x^9 + 5986163
5448973557760*x^10 - 13101791909586665472*x^11 + 1293750611761692672*x^12) - log(x)^12*(156675140352*x^11 - 17
2995467472*x^12) + log(x)*(48952387975703825313792*x^2 - 21454546782625058598912*x - 40797536332571448053760*x
^3 + 6323476894378863501312*x^4 + 7786860607930808401920*x^5 - 4318939846069261959168*x^6 + 113353645490178726
2976*x^7 + 78685264761603489792*x^8 - 147583403119481978880*x^9 + 48792880215012409344*x^10 - 9692861726214586
368*x^11 + 876190890505273344*x^12 - 95718083693566918858768) + log(x)^5*(4116846936444572592*x^4 + 2622191745
6663552000*x^5 - 44658155577462497280*x^6 + 27816148983467335680*x^7 + 3911909469681991680*x^8 - 1334180318379
2455680*x^9 + 7412112879884697600*x^10 - 2329521190820904960*x^11 + 317661980566487040*x^12) + log(x)^9*(10914
9259756752*x^8 - 1884279687966720*x^9 + 3171104840724480*x^10 - 2343860099665920*x^11 + 643412576378880*x^12)
+ 3264065424*x^12*log(x)^13 + log(x)^3*(874149785280425452032*x^2 - 2281441176492482292480*x^3 + 7245650608142
44776192*x^4 + 1510382445503820595200*x^5 - 1270276425314488811520*x^6 + 470490291377504649216*x^7 + 438133860
60438306816*x^8 - 106169693060443668480*x^9 + 44049127971886202880*x^10 - 10729915788023562240*x^11 + 11671136
47118352384*x^12) + log(x)^11*(3446853087744*x^10 - 7677081877248*x^11 + 4230228789504*x^12) + log(x)^8*(70959
56373333504*x^7 + 4038522610999824*x^8 - 34744279124459520*x^9 + 38880502829752320*x^10 - 21508363267522560*x^
11 + 4715295024033792*x^12) + 69931982822434036162560*x^2 - 42944775086917313740800*x^3 + 52695640786490529177
60*x^4 + 5370248695124695449600*x^5 - 2540552850628977623040*x^6 + 581300746103480647680*x^7 + 357660294370924
95360*x^8 - 60238123722237542400*x^9 + 18071437116671262720*x^10 - 3285715839394775040*x^11 + 2738096532828979
20*x^12 + log(x)^6*(1048876698266542080*x^5 - 3597462532628923392*x^6 + 3377675233706747904*x^7 + 635685288823
323648*x^8 - 2717774722624389120*x^9 + 1815967655571750912*x^10 - 667090159189622784*x^11 + 104122538074570752
*x^12) - 478590418467834594293840)/(23656679866368*x - log(x)^4*(12937246801920*x^4 - 168184208424960*x^5 + 10
09105250549760*x^6 - 3700052585349120*x^7 + 9250131463372800*x^8 - 16650236634071040*x^9 + 22200315512094720*x
^10 - 22200315512094720*x^11 + 16650236634071040*x^12 - 9250131463372800*x^13 + 3700052585349120*x^14 - 100910
5250549760*x^15 + 168184208424960*x^16 - 12937246801920*x^17) - log(x)^12*(513257472*x^12 - 2566287360*x^13 +
5132574720*x^14 - 5132574720*x^15 + 2566287360*x^16 - 513257472*x^17) + log(x)^3*(14785424916480*x^3 - 2069959
48830720*x^4 + 1345473667399680*x^5 - 5381894669598720*x^6 + 14800210341396480*x^7 - 29600420682792960*x^8 + 4
4400631024189440*x^9 - 50743578313359360*x^10 + 44400631024189440*x^11 - 29600420682792960*x^12 + 148002103413
96480*x^13 - 5381894669598720*x^14 + 1345473667399680*x^15 - 206995948830720*x^16 + 14785424916480*x^17) + log
(x)^13*(49351680*x^13 - 197406720*x^14 + 296110080*x^15 - 197406720*x^16 + 49351680*x^17) + log(x)^7*(16518091
89888*x^7 - 16518091898880*x^8 + 74331413544960*x^9 - 198217102786560*x^10 + 346879929876480*x^11 - 4162559158
51776*x^12 + 346879929876480*x^13 - 198217102786560*x^14 + 74331413544960*x^15 - 16518091898880*x^16 + 1651809
189888*x^17) - log(x)^16*(5508*x^16 - 5508*x^17) - log(x)^2*(11828339933184*x^2 - 177425098997760*x^3 + 124197
5692984320*x^4 - 5381894669598720*x^5 + 16145684008796160*x^6 - 35520504819351552*x^7 + 59200841365585920*x^8
- 76115367470039040*x^9 + 76115367470039040*x^10 - 59200841365585920*x^11 + 35520504819351552*x^12 - 161456840
08796160*x^13 + 5381894669598720*x^14 - 1241975692984320*x^15 + 177425098997760*x^16 - 11828339933184*x^17) +
81*x^17*log(x)^17 - log(x)^6*(4204605210624*x^6 - 46250657316864*x^7 + 231253286584320*x^8 - 693759859752960*x
^9 + 1387519719505920*x^10 - 1942527607308288*x^11 + 1942527607308288*x^12 - 1387519719505920*x^13 + 693759859
752960*x^14 - 231253286584320*x^15 + 46250657316864*x^16 - 4204605210624*x^17) + log(x)^15*(176256*x^15 - 3525
12*x^16 + 176256*x^17) + log(x)^11*(4106059776*x^11 - 24636358656*x^12 + 61590896640*x^13 - 82121195520*x^14 +
61590896640*x^15 - 24636358656*x^16 + 4106059776*x^17) + log(x)^9*(129047592960*x^9 - 1032380743680*x^10 + 36
13332602880*x^11 - 7226665205760*x^12 + 9033331507200*x^13 - 7226665205760*x^14 + 3613332602880*x^15 - 1032380
743680*x^16 + 129047592960*x^17) + log(x)^5*(8409210421248*x^5 - 100910525054976*x^6 + 555007887802368*x^7 - 1
850026292674560*x^8 + 4162559158517760*x^9 - 6660094653628416*x^10 + 7770110429233152*x^11 - 6660094653628416*
x^12 + 4162559158517760*x^13 - 1850026292674560*x^14 + 555007887802368*x^15 - 100910525054976*x^16 + 840921042
1248*x^17) - log(x)^8*(516190371840*x^8 - 4645713346560*x^9 + 18582853386240*x^10 - 43359991234560*x^11 + 6503
9986851840*x^12 - 65039986851840*x^13 + 43359991234560*x^14 - 18582853386240*x^15 + 4645713346560*x^16 - 51619
0371840*x^17) - 189253438930944*x^2 + 946267194654720*x^3 - 3311935181291520*x^4 + 8611031471357952*x^5 - 1722
2062942715904*x^6 + 27063241767124992*x^7 - 33829052208906240*x^8 + 33829052208906240*x^9 - 27063241767124992*
x^10 + 17222062942715904*x^11 - 8611031471357952*x^12 + 3311935181291520*x^13 - 946267194654720*x^14 + 1892534
38930944*x^15 - 23656679866368*x^16 + 1391569403904*x^17 - log(x)^14*(3525120*x^14 - 10575360*x^15 + 10575360*
x^16 - 3525120*x^17) + log(x)*(5914169966592*x - 94626719465472*x^2 + 709700395991040*x^3 - 3311935181291520*x
^4 + 10763789339197440*x^5 - 25833094414073856*x^6 + 47360673092468736*x^7 - 67658104417812480*x^8 + 761153674
70039040*x^9 - 67658104417812480*x^10 + 47360673092468736*x^11 - 25833094414073856*x^12 + 10763789339197440*x^
13 - 3311935181291520*x^14 + 709700395991040*x^15 - 94626719465472*x^16 + 5914169966592*x^17) - log(x)^10*(258
09518592*x^10 - 180666630144*x^11 + 541999890432*x^12 - 903333150720*x^13 + 903333150720*x^14 - 541999890432*x
^15 + 180666630144*x^16 - 25809518592*x^17) - 1391569403904),x)
[Out]
int((log(x)^7*(234166560320005632*x^7 - 124050432159618048*x^6 + 66362749932105216*x^8 - 379429587898859520*x^
9 + 317661980566487040*x^10 - 140300708083531776*x^11 + 25589437323411456*x^12) - log(x)^10*(45958041169920*x^
9 - 155108388948480*x^10 + 172342654387200*x^11 - 63192306608640*x^12) - 47676770628055685775360*x + log(x)^4*
(86453785665336024432*x^4 - 134202422146616605440*x^3 + 272707941549300940800*x^5 - 307645071755852759040*x^6
+ 143054480486403440640*x^7 + 16038828825696165888*x^8 - 45460958996626145280*x^9 + 21601014678521118720*x^10
- 5929690303907758080*x^11 + 717680770909470720*x^12) + log(x)^2*(11363947208645530876416*x^2 - 23838385314027
84288768*x - 14493861591834593387520*x^3 + 3029999345223205427712*x^4 + 4698967608234108518400*x^5 - 314393415
2653359808512*x^6 + 966412490397036576768*x^7 + 76896963289748865024*x^8 - 162642934050041364480*x^9 + 5986163
5448973557760*x^10 - 13101791909586665472*x^11 + 1293750611761692672*x^12) - log(x)^12*(156675140352*x^11 - 17
2995467472*x^12) + log(x)*(48952387975703825313792*x^2 - 21454546782625058598912*x - 40797536332571448053760*x
^3 + 6323476894378863501312*x^4 + 7786860607930808401920*x^5 - 4318939846069261959168*x^6 + 113353645490178726
2976*x^7 + 78685264761603489792*x^8 - 147583403119481978880*x^9 + 48792880215012409344*x^10 - 9692861726214586
368*x^11 + 876190890505273344*x^12 - 95718083693566918858768) + log(x)^5*(4116846936444572592*x^4 + 2622191745
6663552000*x^5 - 44658155577462497280*x^6 + 27816148983467335680*x^7 + 3911909469681991680*x^8 - 1334180318379
2455680*x^9 + 7412112879884697600*x^10 - 2329521190820904960*x^11 + 317661980566487040*x^12) + log(x)^9*(10914
9259756752*x^8 - 1884279687966720*x^9 + 3171104840724480*x^10 - 2343860099665920*x^11 + 643412576378880*x^12)
+ 3264065424*x^12*log(x)^13 + log(x)^3*(874149785280425452032*x^2 - 2281441176492482292480*x^3 + 7245650608142
44776192*x^4 + 1510382445503820595200*x^5 - 1270276425314488811520*x^6 + 470490291377504649216*x^7 + 438133860
60438306816*x^8 - 106169693060443668480*x^9 + 44049127971886202880*x^10 - 10729915788023562240*x^11 + 11671136
47118352384*x^12) + log(x)^11*(3446853087744*x^10 - 7677081877248*x^11 + 4230228789504*x^12) + log(x)^8*(70959
56373333504*x^7 + 4038522610999824*x^8 - 34744279124459520*x^9 + 38880502829752320*x^10 - 21508363267522560*x^
11 + 4715295024033792*x^12) + 69931982822434036162560*x^2 - 42944775086917313740800*x^3 + 52695640786490529177
60*x^4 + 5370248695124695449600*x^5 - 2540552850628977623040*x^6 + 581300746103480647680*x^7 + 357660294370924
95360*x^8 - 60238123722237542400*x^9 + 18071437116671262720*x^10 - 3285715839394775040*x^11 + 2738096532828979
20*x^12 + log(x)^6*(1048876698266542080*x^5 - 3597462532628923392*x^6 + 3377675233706747904*x^7 + 635685288823
323648*x^8 - 2717774722624389120*x^9 + 1815967655571750912*x^10 - 667090159189622784*x^11 + 104122538074570752
*x^12) - 478590418467834594293840)/(23656679866368*x - log(x)^4*(12937246801920*x^4 - 168184208424960*x^5 + 10
09105250549760*x^6 - 3700052585349120*x^7 + 9250131463372800*x^8 - 16650236634071040*x^9 + 22200315512094720*x
^10 - 22200315512094720*x^11 + 16650236634071040*x^12 - 9250131463372800*x^13 + 3700052585349120*x^14 - 100910
5250549760*x^15 + 168184208424960*x^16 - 12937246801920*x^17) - log(x)^12*(513257472*x^12 - 2566287360*x^13 +
5132574720*x^14 - 5132574720*x^15 + 2566287360*x^16 - 513257472*x^17) + log(x)^3*(14785424916480*x^3 - 2069959
48830720*x^4 + 1345473667399680*x^5 - 5381894669598720*x^6 + 14800210341396480*x^7 - 29600420682792960*x^8 + 4
4400631024189440*x^9 - 50743578313359360*x^10 + 44400631024189440*x^11 - 29600420682792960*x^12 + 148002103413
96480*x^13 - 5381894669598720*x^14 + 1345473667399680*x^15 - 206995948830720*x^16 + 14785424916480*x^17) + log
(x)^13*(49351680*x^13 - 197406720*x^14 + 296110080*x^15 - 197406720*x^16 + 49351680*x^17) + log(x)^7*(16518091
89888*x^7 - 16518091898880*x^8 + 74331413544960*x^9 - 198217102786560*x^10 + 346879929876480*x^11 - 4162559158
51776*x^12 + 346879929876480*x^13 - 198217102786560*x^14 + 74331413544960*x^15 - 16518091898880*x^16 + 1651809
189888*x^17) - log(x)^16*(5508*x^16 - 5508*x^17) - log(x)^2*(11828339933184*x^2 - 177425098997760*x^3 + 124197
5692984320*x^4 - 5381894669598720*x^5 + 16145684008796160*x^6 - 35520504819351552*x^7 + 59200841365585920*x^8
- 76115367470039040*x^9 + 76115367470039040*x^10 - 59200841365585920*x^11 + 35520504819351552*x^12 - 161456840
08796160*x^13 + 5381894669598720*x^14 - 1241975692984320*x^15 + 177425098997760*x^16 - 11828339933184*x^17) +
81*x^17*log(x)^17 - log(x)^6*(4204605210624*x^6 - 46250657316864*x^7 + 231253286584320*x^8 - 693759859752960*x
^9 + 1387519719505920*x^10 - 1942527607308288*x^11 + 1942527607308288*x^12 - 1387519719505920*x^13 + 693759859
752960*x^14 - 231253286584320*x^15 + 46250657316864*x^16 - 4204605210624*x^17) + log(x)^15*(176256*x^15 - 3525
12*x^16 + 176256*x^17) + log(x)^11*(4106059776*x^11 - 24636358656*x^12 + 61590896640*x^13 - 82121195520*x^14 +
61590896640*x^15 - 24636358656*x^16 + 4106059776*x^17) + log(x)^9*(129047592960*x^9 - 1032380743680*x^10 + 36
13332602880*x^11 - 7226665205760*x^12 + 9033331507200*x^13 - 7226665205760*x^14 + 3613332602880*x^15 - 1032380
743680*x^16 + 129047592960*x^17) + log(x)^5*(8409210421248*x^5 - 100910525054976*x^6 + 555007887802368*x^7 - 1
850026292674560*x^8 + 4162559158517760*x^9 - 6660094653628416*x^10 + 7770110429233152*x^11 - 6660094653628416*
x^12 + 4162559158517760*x^13 - 1850026292674560*x^14 + 555007887802368*x^15 - 100910525054976*x^16 + 840921042
1248*x^17) - log(x)^8*(516190371840*x^8 - 4645713346560*x^9 + 18582853386240*x^10 - 43359991234560*x^11 + 6503
9986851840*x^12 - 65039986851840*x^13 + 43359991234560*x^14 - 18582853386240*x^15 + 4645713346560*x^16 - 51619
0371840*x^17) - 189253438930944*x^2 + 946267194654720*x^3 - 3311935181291520*x^4 + 8611031471357952*x^5 - 1722
2062942715904*x^6 + 27063241767124992*x^7 - 33829052208906240*x^8 + 33829052208906240*x^9 - 27063241767124992*
x^10 + 17222062942715904*x^11 - 8611031471357952*x^12 + 3311935181291520*x^13 - 946267194654720*x^14 + 1892534
38930944*x^15 - 23656679866368*x^16 + 1391569403904*x^17 - log(x)^14*(3525120*x^14 - 10575360*x^15 + 10575360*
x^16 - 3525120*x^17) + log(x)*(5914169966592*x - 94626719465472*x^2 + 709700395991040*x^3 - 3311935181291520*x
^4 + 10763789339197440*x^5 - 25833094414073856*x^6 + 47360673092468736*x^7 - 67658104417812480*x^8 + 761153674
70039040*x^9 - 67658104417812480*x^10 + 47360673092468736*x^11 - 25833094414073856*x^12 + 10763789339197440*x^
13 - 3311935181291520*x^14 + 709700395991040*x^15 - 94626719465472*x^16 + 5914169966592*x^17) - log(x)^10*(258
09518592*x^10 - 180666630144*x^11 + 541999890432*x^12 - 903333150720*x^13 + 903333150720*x^14 - 541999890432*x
^15 + 180666630144*x^16 - 25809518592*x^17) - 1391569403904), x)
________________________________________________________________________________________
sympy [B] time = 8.52, size = 1368, normalized size = 68.40 result too large to
display
Verification of antiderivative is not currently implemented for this CAS.
[In]
integrate((-47676770628055685775360*x+5269564078649052917760*x**4-42944775086917313740800*x**3+699319828224340
36162560*x**2-2540552850628977623040*x**6+5370248695124695449600*x**5+581300746103480647680*x**7+3576602943709
2495360*x**8+18071437116671262720*x**10-60238123722237542400*x**9-3285715839394775040*x**11+273809653282897920
*x**12-478590418467834594293840+3264065424*x**12*ln(x)**13+(717680770909470720*x**12-5929690303907758080*x**11
+21601014678521118720*x**10-45460958996626145280*x**9+16038828825696165888*x**8+143054480486403440640*x**7-307
645071755852759040*x**6+272707941549300940800*x**5+86453785665336024432*x**4-134202422146616605440*x**3)*ln(x)
**4+(1167113647118352384*x**12-10729915788023562240*x**11+44049127971886202880*x**10-106169693060443668480*x**
9+43813386060438306816*x**8+470490291377504649216*x**7-1270276425314488811520*x**6+1510382445503820595200*x**5
+724565060814244776192*x**4-2281441176492482292480*x**3+874149785280425452032*x**2)*ln(x)**3+(1293750611761692
672*x**12-13101791909586665472*x**11+59861635448973557760*x**10-162642934050041364480*x**9+7689696328974886502
4*x**8+966412490397036576768*x**7-3143934152653359808512*x**6+4698967608234108518400*x**5+30299993452232054277
12*x**4-14493861591834593387520*x**3+11363947208645530876416*x**2-2383838531402784288768*x)*ln(x)**2+(17299546
7472*x**12-156675140352*x**11)*ln(x)**12+(4230228789504*x**12-7677081877248*x**11+3446853087744*x**10)*ln(x)**
11+(63192306608640*x**12-172342654387200*x**11+155108388948480*x**10-45958041169920*x**9)*ln(x)**10+(643412576
378880*x**12-2343860099665920*x**11+3171104840724480*x**10-1884279687966720*x**9+109149259756752*x**8)*ln(x)**
9+(876190890505273344*x**12-9692861726214586368*x**11+48792880215012409344*x**10-147583403119481978880*x**9+78
685264761603489792*x**8+1133536454901787262976*x**7-4318939846069261959168*x**6+7786860607930808401920*x**5+63
23476894378863501312*x**4-40797536332571448053760*x**3+48952387975703825313792*x**2-21454546782625058598912*x-
95718083693566918858768)*ln(x)+(4715295024033792*x**12-21508363267522560*x**11+38880502829752320*x**10-3474427
9124459520*x**9+4038522610999824*x**8+7095956373333504*x**7)*ln(x)**8+(25589437323411456*x**12-140300708083531
776*x**11+317661980566487040*x**10-379429587898859520*x**9+66362749932105216*x**8+234166560320005632*x**7-1240
50432159618048*x**6)*ln(x)**7+(104122538074570752*x**12-667090159189622784*x**11+1815967655571750912*x**10-271
7774722624389120*x**9+635685288823323648*x**8+3377675233706747904*x**7-3597462532628923392*x**6+10488766982665
42080*x**5)*ln(x)**6+(317661980566487040*x**12-2329521190820904960*x**11+7412112879884697600*x**10-13341803183
792455680*x**9+3911909469681991680*x**8+27816148983467335680*x**7-44658155577462497280*x**6+262219174566635520
00*x**5+4116846936444572592*x**4)*ln(x)**5)/(-1391569403904+23656679866368*x-3311935181291520*x**4+94626719465
4720*x**3-189253438930944*x**2-17222062942715904*x**6+8611031471357952*x**5+27063241767124992*x**7-33829052208
906240*x**8-27063241767124992*x**10+33829052208906240*x**9+189253438930944*x**15-23656679866368*x**16+17222062
942715904*x**11-8611031471357952*x**12+3311935181291520*x**13-946267194654720*x**14+1391569403904*x**17+81*x**
17*ln(x)**17+(11828339933184*x**17-177425098997760*x**16+1241975692984320*x**15-5381894669598720*x**14+1614568
4008796160*x**13-35520504819351552*x**12+59200841365585920*x**11-76115367470039040*x**10+76115367470039040*x**
9-59200841365585920*x**8+35520504819351552*x**7-16145684008796160*x**6+5381894669598720*x**5-1241975692984320*
x**4+177425098997760*x**3-11828339933184*x**2)*ln(x)**2+(5508*x**17-5508*x**16)*ln(x)**16+(176256*x**17-352512
*x**16+176256*x**15)*ln(x)**15+(3525120*x**17-10575360*x**16+10575360*x**15-3525120*x**14)*ln(x)**14+(49351680
*x**17-197406720*x**16+296110080*x**15-197406720*x**14+49351680*x**13)*ln(x)**13+(513257472*x**17-2566287360*x
**16+5132574720*x**15-5132574720*x**14+2566287360*x**13-513257472*x**12)*ln(x)**12+(4106059776*x**17-246363586
56*x**16+61590896640*x**15-82121195520*x**14+61590896640*x**13-24636358656*x**12+4106059776*x**11)*ln(x)**11+(
25809518592*x**17-180666630144*x**16+541999890432*x**15-903333150720*x**14+903333150720*x**13-541999890432*x**
12+180666630144*x**11-25809518592*x**10)*ln(x)**10+(129047592960*x**17-1032380743680*x**16+3613332602880*x**15
-7226665205760*x**14+9033331507200*x**13-7226665205760*x**12+3613332602880*x**11-1032380743680*x**10+129047592
960*x**9)*ln(x)**9+(5914169966592*x**17-94626719465472*x**16+709700395991040*x**15-3311935181291520*x**14+1076
3789339197440*x**13-25833094414073856*x**12+47360673092468736*x**11-67658104417812480*x**10+76115367470039040*
x**9-67658104417812480*x**8+47360673092468736*x**7-25833094414073856*x**6+10763789339197440*x**5-3311935181291
520*x**4+709700395991040*x**3-94626719465472*x**2+5914169966592*x)*ln(x)+(516190371840*x**17-4645713346560*x**
16+18582853386240*x**15-43359991234560*x**14+65039986851840*x**13-65039986851840*x**12+43359991234560*x**11-18
582853386240*x**10+4645713346560*x**9-516190371840*x**8)*ln(x)**8+(1651809189888*x**17-16518091898880*x**16+74
331413544960*x**15-198217102786560*x**14+346879929876480*x**13-416255915851776*x**12+346879929876480*x**11-198
217102786560*x**10+74331413544960*x**9-16518091898880*x**8+1651809189888*x**7)*ln(x)**7+(4204605210624*x**17-4
6250657316864*x**16+231253286584320*x**15-693759859752960*x**14+1387519719505920*x**13-1942527607308288*x**12+
1942527607308288*x**11-1387519719505920*x**10+693759859752960*x**9-231253286584320*x**8+46250657316864*x**7-42
04605210624*x**6)*ln(x)**6+(8409210421248*x**17-100910525054976*x**16+555007887802368*x**15-1850026292674560*x
**14+4162559158517760*x**13-6660094653628416*x**12+7770110429233152*x**11-6660094653628416*x**10+4162559158517
760*x**9-1850026292674560*x**8+555007887802368*x**7-100910525054976*x**6+8409210421248*x**5)*ln(x)**5+(1293724
6801920*x**17-168184208424960*x**16+1009105250549760*x**15-3700052585349120*x**14+9250131463372800*x**13-16650
236634071040*x**12+22200315512094720*x**11-22200315512094720*x**10+16650236634071040*x**9-9250131463372800*x**
8+3700052585349120*x**7-1009105250549760*x**6+168184208424960*x**5-12937246801920*x**4)*ln(x)**4+(147854249164
80*x**17-206995948830720*x**16+1345473667399680*x**15-5381894669598720*x**14+14800210341396480*x**13-296004206
82792960*x**12+44400631024189440*x**11-50743578313359360*x**10+44400631024189440*x**9-29600420682792960*x**8+1
4800210341396480*x**7-5381894669598720*x**6+1345473667399680*x**5-206995948830720*x**4+14785424916480*x**3)*ln
(x)**3),x)
[Out]
(-816016356*x**12*log(x)**12 - 13690482664144896*x**12 + 164285791969738752*x**11 - 903571855833563136*x**10 +
3011906186111877120*x**9 - 4282545195303174144*x**8 - 9111087517585637376*x**7 + 57188818274889498624*x**6 -
128834786243116007424*x**5 - 34144907042852545536*x**4 + 671194972734990225408*x**3 - 1142855820192269850624*x
**2 + 788071051066378457088*x + (-39168785088*x**12 + 39168785088*x**11)*log(x)**11 + (-861713271936*x**12 + 1
723426543872*x**11 - 861713271936*x**10)*log(x)**10 + (-11489510292480*x**12 + 34468530877440*x**11 - 34468530
877440*x**10 + 11489510292480*x**9)*log(x)**9 + (-103405592632320*x**12 + 413622370529280*x**11 - 620433555793
920*x**10 + 413622370529280*x**9 - 65346453785754*x**8)*log(x)**8 + (-661795792846848*x**12 + 3308978964234240
*x**11 - 6617957928468480*x**10 + 6617957928468480*x**9 - 2091086521144128*x**8 - 556096650243264*x**7)*log(x)
**7 + (-3088380366618624*x**12 + 18530282199711744*x**11 - 46325705499279360*x**10 + 61767607332372480*x**9 -
29275211296017792*x**8 - 15570706206811392*x**7 + 13962113836642944*x**6)*log(x)**6 + (-10588732685549568*x**1
2 + 74121128798846976*x**11 - 222363386396540928*x**10 + 370605643994234880*x**9 - 234201690368142336*x**8 - 1
86848474481736704*x**7 + 335090732079430656*x**6 - 125815220940542976*x**5)*log(x)**5 + (-26471831713873920*x*
*12 + 211774653710991360*x**11 - 741211287988469760*x**10 + 1482422575976939520*x**9 - 1171008451840711680*x**
8 - 1245656496544911360*x**7 + 3350907320794306560*x**6 - 2516304418810859520*x**5 - 133378543136142756*x**4)*
log(x)**4 + (-47061034157998080*x**12 + 423549307421982720*x**11 - 1694197229687930880*x**10 + 395312686927183
8720*x**9 - 3747227045890277376*x**8 - 4982625986179645440*x**7 + 17871505710902968320*x**6 - 2013043535048687
6160*x**5 - 2134056690178284096*x**4 + 10487421448984222272*x**3)*log(x)**3 + (-56473240989597696*x**12 + 5647
32409895976960*x**11 - 2541295844531896320*x**10 + 6776788918751723520*x**9 - 7494454091780554752*x**8 - 11958
302366831149056*x**7 + 53614517132708904960*x**6 - 80521741401947504640*x**5 - 12804340141069704576*x**4 + 125
849057387810667264*x**3 - 71428488762016865664*x**2)*log(x)**2 + (-41071447992434688*x**12 + 45178592791678156
8*x**11 - 2258929639583907840*x**10 + 6776788918751723520*x**9 - 8565090390606348288*x**8 - 159444031557748654
08*x**7 + 85783227412334247936*x**6 - 161043482803895009280*x**5 - 34144907042852545536*x**4 + 503396229551242
669056*x**3 - 571427910096134925312*x**2 + 197017762766594614272*x)*log(x) + 5933125790156283775105)/(81*x**16
*log(x)**16 + 347892350976*x**16 - 5566277615616*x**15 + 41747082117120*x**14 - 194819716546560*x**13 + 633164
078776320*x**12 - 1519593789063168*x**11 + 2785921946615808*x**10 - 3979888495165440*x**9 + 4477374557061120*x
**8 - 3979888495165440*x**7 + 2785921946615808*x**6 - 1519593789063168*x**5 + 633164078776320*x**4 - 194819716
546560*x**3 + 41747082117120*x**2 - 5566277615616*x + (5184*x**16 - 5184*x**15)*log(x)**15 + (155520*x**16 - 3
11040*x**15 + 155520*x**14)*log(x)**14 + (2903040*x**16 - 8709120*x**15 + 8709120*x**14 - 2903040*x**13)*log(x
)**13 + (37739520*x**16 - 150958080*x**15 + 226437120*x**14 - 150958080*x**13 + 37739520*x**12)*log(x)**12 + (
362299392*x**16 - 1811496960*x**15 + 3622993920*x**14 - 3622993920*x**13 + 1811496960*x**12 - 362299392*x**11)
*log(x)**11 + (2656862208*x**16 - 15941173248*x**15 + 39852933120*x**14 - 53137244160*x**13 + 39852933120*x**1
2 - 15941173248*x**11 + 2656862208*x**10)*log(x)**10 + (15182069760*x**16 - 106274488320*x**15 + 318823464960*
x**14 - 531372441600*x**13 + 531372441600*x**12 - 318823464960*x**11 + 106274488320*x**10 - 15182069760*x**9)*
log(x)**9 + (68319313920*x**16 - 546554511360*x**15 + 1912940789760*x**14 - 3825881579520*x**13 + 478235197440
0*x**12 - 3825881579520*x**11 + 1912940789760*x**10 - 546554511360*x**9 + 68319313920*x**8)*log(x)**8 + (24291
3116160*x**16 - 2186218045440*x**15 + 8744872181760*x**14 - 20404701757440*x**13 + 30607052636160*x**12 - 3060
7052636160*x**11 + 20404701757440*x**10 - 8744872181760*x**9 + 2186218045440*x**8 - 242913116160*x**7)*log(x)*
*7 + (680156725248*x**16 - 6801567252480*x**15 + 30607052636160*x**14 - 81618807029760*x**13 + 142832912302080
*x**12 - 171399494762496*x**11 + 142832912302080*x**10 - 81618807029760*x**9 + 30607052636160*x**8 - 680156725
2480*x**7 + 680156725248*x**6)*log(x)**6 + (1483978309632*x**16 - 16323761405952*x**15 + 81618807029760*x**14
- 244856421089280*x**13 + 489712842178560*x**12 - 685597979049984*x**11 + 685597979049984*x**10 - 489712842178
560*x**9 + 244856421089280*x**8 - 81618807029760*x**7 + 16323761405952*x**6 - 1483978309632*x**5)*log(x)**5 +
(2473297182720*x**16 - 29679566192640*x**15 + 163237614059520*x**14 - 544125380198400*x**13 + 1224282105446400
*x**12 - 1958851368714240*x**11 + 2285326596833280*x**10 - 1958851368714240*x**9 + 1224282105446400*x**8 - 544
125380198400*x**7 + 163237614059520*x**6 - 29679566192640*x**5 + 2473297182720*x**4)*log(x)**4 + (304405807104
0*x**16 - 39572754923520*x**15 + 237436529541120*x**14 - 870600608317440*x**13 + 2176501520793600*x**12 - 3917
702737428480*x**11 + 5223603649904640*x**10 - 5223603649904640*x**9 + 3917702737428480*x**8 - 2176501520793600
*x**7 + 870600608317440*x**6 - 237436529541120*x**5 + 39572754923520*x**4 - 3044058071040*x**3)*log(x)**3 + (2
609192632320*x**16 - 36528696852480*x**15 + 237436529541120*x**14 - 949746118164480*x**13 + 2611801824952320*x
**12 - 5223603649904640*x**11 + 7835405474856960*x**10 - 8954749114122240*x**9 + 7835405474856960*x**8 - 52236
03649904640*x**7 + 2611801824952320*x**6 - 949746118164480*x**5 + 237436529541120*x**4 - 36528696852480*x**3 +
2609192632320*x**2)*log(x)**2 + (1391569403904*x**16 - 20873541058560*x**15 + 146114787409920*x**14 - 6331640
78776320*x**13 + 1899492236328960*x**12 - 4178882919923712*x**11 + 6964804866539520*x**10 - 8954749114122240*x
**9 + 8954749114122240*x**8 - 6964804866539520*x**7 + 4178882919923712*x**6 - 1899492236328960*x**5 + 63316407
8776320*x**4 - 146114787409920*x**3 + 20873541058560*x**2 - 1391569403904*x)*log(x) + 347892350976)
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