3.18.1 \(\int \frac {2 x-2 x^2+\frac {1}{27} e^{2 \log (3) \log (x^2)} (x+(-16+4 x) \log (3))}{x} \, dx\)
  3.18.2 \(\int \frac {-16-32 x-16 x^2+e^{2 x+e^{2 x} (3 e^{\frac {2 x}{2+2 x}} x+6 e^{\frac {x}{2+2 x}} x^2+3 x^3)} (-108 x^2-288 x^3-252 x^4-72 x^5+e^{\frac {2 x}{2+2 x}} (-36-180 x-180 x^2-72 x^3)+e^{\frac {x}{2+2 x}} (-144 x-468 x^2-432 x^3-144 x^4))}{16 x^2+32 x^3+16 x^4+e^{2 e^{2 x} (3 e^{\frac {2 x}{2+2 x}} x+6 e^{\frac {x}{2+2 x}} x^2+3 x^3)} (9+18 x+9 x^2)+e^{e^{2 x} (3 e^{\frac {2 x}{2+2 x}} x+6 e^{\frac {x}{2+2 x}} x^2+3 x^3)} (24 x+48 x^2+24 x^3)} \, dx\)
  3.18.3 \(\int \frac {-x+(2+x) \log (\frac {2}{2+x})}{(2 x+x^2) \log (\frac {2}{2+x})} \, dx\)
  3.18.4 \(\int \frac {128 x+e^x (-8 x+4 x^2)+e^{\frac {1}{4} (-x+4 x^3+4 \log (4))} (16-192 x^2+e^x (-5+12 x^2))}{1024-128 e^x+4 e^{2 x}} \, dx\)
  3.18.5 \(\int \frac {4 x^5+x^3 \log (x)+(-32 x^3 \log (\frac {4}{x})+64 x^3 \log (\frac {4}{x}) \log (x)) \log (\log (\frac {4}{x})) \log (\log (\log (\frac {4}{x}))) \log (\log (\log (\log (\frac {4}{x}))))+(2 x^3 \log (\frac {4}{x})-4 x^3 \log (\frac {4}{x}) \log (x)) \log (\log (\frac {4}{x})) \log (\log (\log (\frac {4}{x}))) \log (\log (\log (\log (\frac {4}{x})))) \log (\log (\log (\log (\log (\frac {4}{x})))))}{(64 x^6 \log (\frac {4}{x})+48 x^4 \log (\frac {4}{x}) \log (x)+12 x^2 \log (\frac {4}{x}) \log ^2(x)+\log (\frac {4}{x}) \log ^3(x)) \log (\log (\frac {4}{x})) \log (\log (\log (\frac {4}{x}))) \log (\log (\log (\log (\frac {4}{x}))))} \, dx\)
  3.18.6 \(\int \frac {-378+150 e}{-48+24 x-3 x^2+e (16-8 x+x^2)} \, dx\)
  3.18.7 \(\int \frac {e^{\frac {1}{16} ((1-2 x) \log (2)+(4-8 x) \log (\frac {-20+6 x-4 x^2+x^3}{-4+x}))} (-8+80 x-160 x^2+68 x^3-8 x^4+(-80+44 x-22 x^2+8 x^3-x^4) \log (2)+(-320+176 x-88 x^2+32 x^3-4 x^4) \log (\frac {-20+6 x-4 x^2+x^3}{-4+x}))}{640-352 x+176 x^2-64 x^3+8 x^4} \, dx\)
  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\)
  3.18.9 \(\int \frac {e^{\frac {x^4-2 x^5+3 x^6-2 x^7+x^8}{x^2-2 x \log (x)+\log ^2(x)}} (2 x^3-2 x^4+8 x^6-8 x^7+6 x^8+(-4 x^3+10 x^4-18 x^5+14 x^6-8 x^7) \log (x))}{-x^3+3 x^2 \log (x)-3 x \log ^2(x)+\log ^3(x)} \, dx\)
  3.18.10 \(\int \frac {-2+4 x+(8-4 x) \log (-2+x)}{(10-25 x+10 x^2) \log (-2+x) \log (\frac {\log ^2(-2+x)}{1-4 x+4 x^2})} \, dx\)
  3.18.11 \(\int \frac {-e^{x^2}+2 e^{x^2} x^2 \log (x)+(-3 x+x \log (6)) \log ^2(x)}{(-3 x+x \log (6)) \log ^2(x)} \, dx\)
  3.18.12 \(\int \frac {54+84 x+25 x^2+2 x^3+(-15-26 x-4 x^2) \log (5)+(1+2 x) \log ^2(5)}{36+12 x+x^2+(-12-2 x) \log (5)+\log ^2(5)} \, dx\)
  3.18.13 \(\int \frac {360+818 x-320 x^2-18 x^3+e^x (1800+980 x-560 x^2+70 x^3+10 x^4)+e^{2 x} (450 x+200 x^2-200 x^3+50 x^4)+(-1800+820 x-350 x^2+80 x^3+e^x (-900 x+50 x^2+150 x^3-50 x^4)) \log ((9-5 x+x^2) \log (5))+(450 x-250 x^2+50 x^3) \log ^2((9-5 x+x^2) \log (5))}{9-5 x+x^2} \, dx\)
  3.18.14 \(\int \frac {e^{\frac {21-4 x \log (5) \log (2+x^2)}{4 x}} (-42-21 x^2-8 x^3 \log (5))}{8 x^2+4 x^4} \, dx\)
  3.18.15 \(\int \frac {e^{\frac {36+12 \log (\frac {4}{x})}{x \log (e^{-e^4 x} x)}} (-36+36 e^4 x+(-12+12 e^4 x) \log (\frac {4}{x})+(-48-12 \log (\frac {4}{x})) \log (e^{-e^4 x} x))}{x^2 \log ^2(e^{-e^4 x} x)} \, dx\)
  3.18.16 \(\int \frac {495-648 x+6905 x^2-6540 x^3+16420 x^4-11712 x^5+2304 x^6+(-45+26 x-244 x^2+96 x^3) \log (x)+\log ^2(x)}{625-750 x+6325 x^2-6060 x^3+16324 x^4-11712 x^5+2304 x^6+(-50+30 x-244 x^2+96 x^3) \log (x)+\log ^2(x)} \, dx\)
  3.18.17 \(\int (-1+8 x+2^{2 \log ^2(x)} (3 x^2+4 x^2 \log (2) \log (x))) \, dx\)
  3.18.18 \(\int \frac {155 x+240 x^2+120 x^3+20 x^4+(31 x+48 x^2+24 x^3+4 x^4) \log (x)+(16+31 x+24 x^2+8 x^3+x^4) \log (-16-31 x-24 x^2-8 x^3-x^4) \log (\log (-16-31 x-24 x^2-8 x^3-x^4))}{(16 x+31 x^2+24 x^3+8 x^4+x^5) \log (-16-31 x-24 x^2-8 x^3-x^4)} \, dx\)
  3.18.19 \(\int -\frac {4}{x \log (2)} \, dx\)
  3.18.20 \(\int \frac {1}{4} e^{-1-3 x} (-3 x^2+3 x^3+(4-12 x) \log (2)+(-4+12 x) \log (16)) \, dx\)
  3.18.21 \(\int \frac {12 x-12 x^2-6 x^4+4 x^5+2 x^6+(-8 x+4 x^2+16 x^3-8 x^4-4 x^5) \log (x)+(-24 x-14 x^2+4 x^3+2 x^4) \log ^2(x)+(-12+20 x-4 x^2-4 x^3+(48 x+16 x^2) \log (x)) \log (3+x)+(-24 x-8 x^2) \log ^2(3+x)+((12 x^3-8 x^4-4 x^5) \log (x)+(-12 x^2+8 x^3+4 x^4) \log ^2(x)+(-12 x^3+8 x^4+4 x^5+(12 x^2-8 x^3-4 x^4) \log (x)) \log (3+x)) \log (1-2 x+x^2)+((-6 x^2+4 x^3+2 x^4) \log ^2(x)+(12 x^2-8 x^3-4 x^4) \log (x) \log (3+x)+(-6 x^2+4 x^3+2 x^4) \log ^2(3+x)) \log ^2(1-2 x+x^2)}{-3 x^3+2 x^4+x^5+(6 x^2-4 x^3-2 x^4) \log (x)+(-3 x+2 x^2+x^3) \log ^2(x)+((6 x^2-4 x^3-2 x^4) \log (x)+(-6 x+4 x^2+2 x^3) \log ^2(x)+(-6 x^2+4 x^3+2 x^4+(6 x-4 x^2-2 x^3) \log (x)) \log (3+x)) \log (1-2 x+x^2)+((-3 x+2 x^2+x^3) \log ^2(x)+(6 x-4 x^2-2 x^3) \log (x) \log (3+x)+(-3 x+2 x^2+x^3) \log ^2(3+x)) \log ^2(1-2 x+x^2)} \, dx\)
  3.18.22 \(\int \frac {1}{12} e^{\frac {1}{12} (-3 x+6 e^x x+2 e^x x \log (x^2))} (-3+e^x (10+6 x)+e^x (2+2 x) \log (x^2)) \, dx\)
  3.18.23 \(\int (-2+4 e^{1+4 x}+2 x+\log (x^3)) \, dx\)
  3.18.24 \(\int \frac {9+6 x (i \pi +\log (25))+(-1+x^2) (i \pi +\log (25))^2}{36+24 x (i \pi +\log (25))+4 x^2 (i \pi +\log (25))^2} \, dx\)
  3.18.25 \(\int \frac {\frac {e^4 x (2 x+3 x^3)}{2+x^2}+(4 x+2 x^3) \log ^2(2)}{\frac {e^8 x^2 (8+4 x^2)}{(2+x^2)^2}+\frac {e^4 x (16+8 x^2) \log ^2(2)}{2+x^2}+(8+4 x^2) \log ^4(2)} \, dx\)
  3.18.26 \(\int -\frac {84 x}{(20 e^6+21 x^2) \log (20 e^6+21 x^2) \log ^3(\log (20 e^6+21 x^2))} \, dx\)
  3.18.27 \(\int \frac {e^2 (7-6 x)-7 x+12 x^2+e^x (-7+6 x+6 x^2)+(e^2 (1-x)-x+2 x^2+e^x (-1+x+x^2)) \log (x)+(-6 x-6 e^x x+(-x-e^x x) \log (x)) \log (\frac {1}{4} (6 x+x \log (x)))}{6 x+x \log (x)} \, dx\)
  3.18.28 \(\int \frac {4 x^2+32 x^3+e^{\frac {2+5 x^2-4 x^3}{4 x}} (-2+5 x^2-8 x^3)}{4 x^2} \, dx\)
  3.18.29 \(\int (2 x+e^{-602 x-160 x^2 \log (e^{-x} x)-10 x^3 \log ^2(e^{-x} x)} (-602-160 x+160 x^2+(-320 x-20 x^2+20 x^3) \log (e^{-x} x)-30 x^2 \log ^2(e^{-x} x))+e^{-301 x-80 x^2 \log (e^{-x} x)-5 x^3 \log ^2(e^{-x} x)} (-2+602 x+160 x^2-160 x^3+(320 x^2+20 x^3-20 x^4) \log (e^{-x} x)+30 x^3 \log ^2(e^{-x} x))) \, dx\)
  3.18.30 \(\int \frac {3 x+e^{-5+x} (-e^{1-x} x+x^3) \log (x)+(e^{-5+x} (-e x^2-x^3+e^{1-x} (e+x))+e^{-5+x} (-2 x^3-x^4+e (-2 x^2-x^3)) \log (x)) \log (e+x)}{(e x+x^2) \log ^2(e+x)} \, dx\)
  3.18.31 \(\int \frac {e^{\frac {5 (12+3 x)}{3+x}} (90 x+60 x^2+10 x^3)+e^{\frac {4 (12+3 x)}{3+x}} (-108 x^3-186 x^4-84 x^5-10 x^6)+e^{\frac {4 (12+3 x)}{3+x}} (-144 x^2-168 x^3-64 x^4-8 x^5) \log (x)+e^{\frac {4 (12+3 x)}{3+x}} (-36 x^2-102 x^3-52 x^4-6 x^5) \log ^2(x)}{288 x^{10}+912 x^{11}+1232 x^{12}+920 x^{13}+410 x^{14}+109 x^{15}+16 x^{16}+x^{17}+e^{\frac {5 (12+3 x)}{3+x}} (28125+18750 x+3125 x^2)+e^{\frac {4 (12+3 x)}{3+x}} (56250 x^2+65625 x^3+25000 x^4+3125 x^5)+e^{\frac {3 (12+3 x)}{3+x}} (45000 x^4+75000 x^5+46250 x^6+12500 x^7+1250 x^8)+e^{\frac {2 (12+3 x)}{3+x}} (18000 x^6+39000 x^7+33500 x^8+14250 x^9+3000 x^{10}+250 x^{11})+e^{\frac {12+3 x}{3+x}} (3600 x^8+9600 x^9+10600 x^{10}+6200 x^{11}+2025 x^{12}+350 x^{13}+25 x^{14})+(1440 x^9+4560 x^{10}+6160 x^{11}+4600 x^{12}+2050 x^{13}+545 x^{14}+80 x^{15}+5 x^{16}+e^{\frac {4 (12+3 x)}{3+x}} (56250 x+65625 x^2+25000 x^3+3125 x^4)+e^{\frac {3 (12+3 x)}{3+x}} (90000 x^3+150000 x^4+92500 x^5+25000 x^6+2500 x^7)+e^{\frac {2 (12+3 x)}{3+x}} (54000 x^5+117000 x^6+100500 x^7+42750 x^8+9000 x^9+750 x^{10})+e^{\frac {12+3 x}{3+x}} (14400 x^7+38400 x^8+42400 x^9+24800 x^{10}+8100 x^{11}+1400 x^{12}+100 x^{13})) \log ^2(x)+(2880 x^8+9120 x^9+12320 x^{10}+9200 x^{11}+4100 x^{12}+1090 x^{13}+160 x^{14}+10 x^{15}+e^{\frac {3 (12+3 x)}{3+x}} (45000 x^2+75000 x^3+46250 x^4+12500 x^5+1250 x^6)+e^{\frac {2 (12+3 x)}{3+x}} (54000 x^4+117000 x^5+100500 x^6+42750 x^7+9000 x^8+750 x^9)+e^{\frac {12+3 x}{3+x}} (21600 x^6+57600 x^7+63600 x^8+37200 x^9+12150 x^{10}+2100 x^{11}+150 x^{12})) \log ^4(x)+(2880 x^7+9120 x^8+12320 x^9+9200 x^{10}+4100 x^{11}+1090 x^{12}+160 x^{13}+10 x^{14}+e^{\frac {2 (12+3 x)}{3+x}} (18000 x^3+39000 x^4+33500 x^5+14250 x^6+3000 x^7+250 x^8)+e^{\frac {12+3 x}{3+x}} (14400 x^5+38400 x^6+42400 x^7+24800 x^8+8100 x^9+1400 x^{10}+100 x^{11})) \log ^6(x)+(1440 x^6+4560 x^7+6160 x^8+4600 x^9+2050 x^{10}+545 x^{11}+80 x^{12}+5 x^{13}+e^{\frac {12+3 x}{3+x}} (3600 x^4+9600 x^5+10600 x^6+6200 x^7+2025 x^8+350 x^9+25 x^{10})) \log ^8(x)+(288 x^5+912 x^6+1232 x^7+920 x^8+410 x^9+109 x^{10}+16 x^{11}+x^{12}) \log ^{10}(x)} \, dx\)
  3.18.32 \(\int \frac {-3-2 x+3 x^2+\log (\frac {3}{\log (5)})}{-3 x-x^2+x^3+x \log (\frac {3}{\log (5)})} \, dx\)
  3.18.33 \(\int \frac {50 x^3+150 x^4-300 x^5+100 x^6+e^{2 x/5} (-50+10 x)+e^{x/5} (-25 x+5 x^2-30 x^3-10 x^4)}{x^3} \, dx\)
  3.18.34 \(\int \frac {36+9 e^{2+e^{2+x}+x}}{-24+e^{e^{2+x}}+4 x} \, dx\)
  3.18.35 \(\int \frac {6 e^x \log (5)+6 e^x x \log (5) \log (x)}{x+6 e^x x \log (5) \log (x)} \, dx\)
  3.18.36 \(\int \frac {e^{-2 x} x^2 (14 x^4+x^5-2 x^6+\frac {e^{2 x} (2+x)^2 (3174 x^2+1955 x^3+194 x^4+5 x^5)}{x^2}+\frac {e^x (2+x) (460 x^3+116 x^4-40 x^5-2 x^6)}{x})}{(2+x)^3} \, dx\)
  3.18.37 \(\int \frac {3}{-1+3 e^2} \, dx\)
  3.18.38 \(\int \frac {e^{-2 x} (4-12 x+9 x^2-2 x^3+e^{2 x} (4-8 x+2 x^2))}{4-4 x+x^2} \, dx\)
  3.18.39 \(\int \frac {1-6 x+2 x^2+(-2+2 x^2) \log (-\frac {x}{-6+6 x})}{-1+x} \, dx\)
  3.18.40 \(\int \frac {e^x (-128+128 x) \log ^2(5)}{(x^2+e^x x \log ^2(5)) \log ^3(\frac {x \log ^2(5)}{9 x+9 e^x \log ^2(5)})} \, dx\)
  3.18.41 \(\int \frac {-x^2+\log (x) (8+x^2-4 \log (\frac {x^2}{\log ^2(5)}))-4 \log (\frac {x^2}{\log ^2(5)})}{e^5 x^2 \log ^2(x)} \, dx\)
  3.18.42 \(\int \frac {1}{6} e^{-1+\frac {1}{16} (-5 x+x^2)} (-5+2 x) \, dx\)
  3.18.43 \(\int e^{x+\log ^2(5)} (-28-10 x+(6+6 x) \log (4)) \, dx\)
  3.18.44 \(\int \frac {1}{7} e^{\frac {1}{4} (-25+4 x+20 x^2-4 x^4)} (1+10 x-4 x^3) \, dx\)
  3.18.45 \(\int \frac {-3+2 x \log (4 \log ^2(5))}{2 x \log (4 \log ^2(5))} \, dx\)
  3.18.46 \(\int \frac {1}{25} (175-80 x-24 x^2+50 \log (x)) \, dx\)
  3.18.47 \(\int \frac {2 e^2+e^{16} (-x^2+e^5 x^2)}{e^{16} x^2} \, dx\)
  3.18.48 \(\int \frac {1}{x} \, dx\)
  3.18.49 \(\int \frac {-16-5 x \log (x) \log ^2(\log (x))}{32 x \log (x) \log ^2(\log (x))} \, dx\)
  3.18.50 \(\int \frac {-2880 x^2+1008 x^3-252 x^4+261 x^5-90 x^6+9 x^7+(-320+240 x-64 x^2+48 x^3) \log (5)}{-2880 x^2+2160 x^3-1116 x^4+477 x^5-108 x^6+9 x^7} \, dx\)
  3.18.51 \(\int \frac {-x^9-2 x^{10}+e^{\frac {2 (625-x^9)}{x^8}} (10000+4 e^4 x^8+2 x^9)+e^{\frac {625-x^9}{x^8}} (-10000 x+2 x^9-8 e^4 x^9-2 x^{10})+e^4 (4 x^9+4 x^{10})+(e^{\frac {2 (625-x^9)}{x^8}} x^8+x^9-2 e^{\frac {625-x^9}{x^8}} x^9+x^{10}) \log (e^{\frac {2 (625-x^9)}{x^8}}+x-2 e^{\frac {625-x^9}{x^8}} x+x^2)}{16 e^{8+\frac {2 (625-x^9)}{x^8}} x^8-32 e^{8+\frac {625-x^9}{x^8}} x^9+e^8 (16 x^9+16 x^{10})+(8 e^{4+\frac {2 (625-x^9)}{x^8}} x^8-16 e^{4+\frac {625-x^9}{x^8}} x^9+e^4 (8 x^9+8 x^{10})) \log (e^{\frac {2 (625-x^9)}{x^8}}+x-2 e^{\frac {625-x^9}{x^8}} x+x^2)+(e^{\frac {2 (625-x^9)}{x^8}} x^8+x^9-2 e^{\frac {625-x^9}{x^8}} x^9+x^{10}) \log ^2(e^{\frac {2 (625-x^9)}{x^8}}+x-2 e^{\frac {625-x^9}{x^8}} x+x^2)} \, dx\)
  3.18.52 \(\int \frac {-4+18 x^2+x^2 \log (x^2)}{4 x+16 x^2+16 x^3+8 x^2 \log (4)+x^3 \log (x^2)} \, dx\)
  3.18.53 \(\int \frac {2 x^2+e^4 (5+5 x-x^2)}{-2 x^2+e^4 (-5 x+x^2)} \, dx\)
  3.18.54 \(\int \frac {2 e^{-11+x-x^2}+e^{-11+x-x^2} (2 x-3 x^2-2 x^3) \log (\frac {x}{4+2 x})}{e^2 (2 x+x^2)} \, dx\)
  3.18.55 \(\int \frac {-2+e^x (-1+x)+3 x^2+2 x^3}{x^2} \, dx\)
  3.18.56 \(\int \frac {1}{5} (2+2 x) \, dx\)
  3.18.57 \(\int \frac {-2 e^4+4 x^2-8000 x^3+4800 x^5-960 x^7+64 x^9}{x^2} \, dx\)
  3.18.58 \(\int \frac {1}{3} e^{\frac {6-x}{3}} (-3 e^{-7+\frac {1}{3} (-6+x)+x}+e^{e^x} (-5+15 e^x)) \, dx\)
  3.18.59 \(\int -\frac {32 e^{-3+e}}{x^2} \, dx\)
  3.18.60 \(\int \frac {-36+24 x-4 x^2+(36-48 x+12 x^2) \log (x)}{5 \log ^2(x)} \, dx\)
  3.18.61 \(\int \frac {4+x-16 x^5-8 x^6-x^7+(1-8 x^5-2 x^6) \log (3)-x^5 \log ^2(3)+(-16-5 x-4 \log (3)) \log (x)}{-16 x^6-8 x^7-x^8+(-8 x^6-2 x^7) \log (3)-x^6 \log ^2(3)+(4 x+x^2+x \log (3)) \log (x)} \, dx\)
  3.18.62 \(\int \frac {(-3+\log (4)) \log (25)+e^{e^x-x} ((-1-x) \log (25)+e^x x \log (25))}{5 x^2} \, dx\)
  3.18.63 \(\int \frac {(-2 x^2-8 e^x x^2) \log ^2(x)+((-2 x^2+8 e^x x^3) \log (x)+(-2 x^2+8 e^x x^3) \log ^2(x)) \log (e^{-x} (-2+8 e^x x))+((2 x+8 e^x x) \log ^2(x)+((4 x-16 e^x x^2) \log (x)+(2 x-8 e^x x^2) \log ^2(x)) \log (e^{-x} (-2+8 e^x x))) \log (\log (e^{-x} (-2+8 e^x x)))+(-2+8 e^x x) \log (x) \log (e^{-x} (-2+8 e^x x)) \log ^2(\log (e^{-x} (-2+8 e^x x)))}{(-x+4 e^x x^2) \log (e^{-x} (-2+8 e^x x))} \, dx\)
  3.18.64 \(\int \frac {4096-5632 x-1024 x^2+256 x^3-512 x^4+256 x^5+e^{2 x^2} (-4+x^3)+e^{x^2} (-192-128 x-320 x^2-32 x^3+32 x^4)}{256 x^3+e^{2 x^2} x^3-512 x^4+256 x^5+e^{x^2} (-32 x^3+32 x^4)} \, dx\)
  3.18.65 \(\int \frac {e^{1-x+x^2} (1536-1024 x)+e^x (-512+448 x+32 x^2)}{256 e^{2-4 x+2 x^2}+256 x^2+32 x^3+x^4+e^{1-2 x+x^2} (512 x+32 x^2)} \, dx\)
  3.18.66 \(\int \frac {7 e^5+e^{e^3} (-1+x)+e^{e^3} (3-x) \log (-3+x)}{(-21+7 x) \log ^2(-3+x)} \, dx\)
  3.18.67 \(\int \frac {e^{x^2} (1-2 x^2)}{x^2} \, dx\)
  3.18.68 \(\int \frac {(-128+320 x) \log ^2(9)+e^{x^2} (-20 x \log (9)+(64 x^3-160 x^4) \log ^2(9))+e^{x^2} (-8+20 x+16 x^2-40 x^3) \log (9) \log (2-5 x)}{(-512+1280 x) \log ^2(9)+e^{x^2} (-256 x+640 x^2) \log ^2(9)+e^{2 x^2} (-32 x^2+80 x^3) \log ^2(9)+(e^{x^2} (-64+160 x) \log (9)+e^{2 x^2} (-16 x+40 x^2) \log (9)) \log (2-5 x)+e^{2 x^2} (-2+5 x) \log ^2(2-5 x)} \, dx\)
  3.18.69 \(\int \frac {-16-56 x+55 x^2+146 x^3-28 x^4+x^5+e^3 (8 x^2+9 x^3)+(8 x^2+9 x^3) \log (x)}{112 x+488 x^2+439 x^3-199 x^4+25 x^5-x^6+e^3 (16 x+72 x^2+73 x^3-18 x^4+x^5)+(16 x+72 x^2+73 x^3-18 x^4+x^5) \log (x)} \, dx\)
  3.18.70 \(\int \frac {-2 e^{2 e^x}+8 x^2+2 x^3+e^{e^x} (-25-16 x-3 x^2+e^x (25 x+10 x^2+x^3))}{2 e^{2 e^x} x-25 x^2-8 x^3-x^4+e^{e^x} (25 x+6 x^2+x^3)} \, dx\)
  3.18.71 \(\int \frac {-32 x \log (x)+(1+32 x) \log (\frac {1}{9} e^5 (5+160 x))}{(x+32 x^2) \log ^2(\frac {1}{9} e^5 (5+160 x))} \, dx\)
  3.18.72 \(\int \frac {-107584-314880 x-314496 x^2-138240 x^3-25920 x^4+e^{5 e^x} (16+24 x^2+5 x^4)+(-275520-770560 x-844416 x^2-414720 x^3-95040 x^4) \log (5)+(-386320-935040 x-1083552 x^2-564480 x^3-162000 x^4) \log ^2(5)+(-373760-739840 x-901632 x^2-455680 x^3-168960 x^4) \log ^3(5)+(-263040-404800 x-551040 x^2-238720 x^3-119360 x^4) \log ^4(5)+(-138624-151040 x-259296 x^2-83200 x^3-59680 x^4) \log ^5(5)+(-54560-36480 x-93288 x^2-18880 x^3-21400 x^4) \log ^6(5)+(-15360-5120 x-24576 x^2-2560 x^3-5440 x^4) \log ^7(5)+(-2880-320 x-4416 x^2-160 x^3-940 x^4) \log ^8(5)+(-320-480 x^2-100 x^4) \log ^9(5)+(-16-24 x^2-5 x^4) \log ^{10}(5)+e^{4 e^x} (-320-320 x-576 x^2-160 x^3-140 x^4+e^x (160 x^2+32 x^3+40 x^4+8 x^5)+(-320-480 x^2-100 x^4) \log (5)+(-80-120 x^2-25 x^4) \log ^2(5))+e^{3 e^x} (3360+5760 x+7272 x^2+3520 x^3+1560 x^4+(5120+5120 x+9216 x^2+2560 x^3+2240 x^4) \log (5)+(3840+1280 x+6144 x^2+640 x^3+1360 x^4) \log ^2(5)+(1280+1920 x^2+400 x^4) \log ^3(5)+(160+240 x^2+50 x^4) \log ^4(5)+e^x (-1600 x-2560 x^2-1648 x^3-960 x^4-144 x^5+(-1920 x^2-384 x^3-480 x^4-96 x^5) \log (5)+(-480 x^2-96 x^3-120 x^4-24 x^5) \log ^2(5)))+e^{2 e^x} (-19840-46400 x-54528 x^2-28800 x^3-8640 x^4+(-40320-69120 x-87264 x^2-42240 x^3-18720 x^4) \log (5)+(-40800-48000 x-77112 x^2-25920 x^3-18120 x^4) \log ^2(5)+(-25600-15360 x-43008 x^2-7680 x^3-9920 x^4) \log ^3(5)+(-9600-1920 x-14976 x^2-960 x^3-3240 x^4) \log ^4(5)+(-1920-2880 x^2-600 x^4) \log ^5(5)+(-160-240 x^2-50 x^4) \log ^6(5)+e^x (12800 x+24800 x^2+18848 x^3+7200 x^4+864 x^5+(12800 x+20480 x^2+13184 x^3+7680 x^4+1152 x^5) \log (5)+(3200 x+12800 x^2+4832 x^3+3840 x^4+672 x^5) \log ^2(5)+(3840 x^2+768 x^3+960 x^4+192 x^5) \log ^3(5)+(480 x^2+96 x^3+120 x^4+24 x^5) \log ^4(5)))+e^{e^x} (68880+192640 x+211104 x^2+103680 x^3+23760 x^4+(158720+371200 x+436224 x^2+230400 x^3+69120 x^4) \log (5)+(200960+369280 x+458112 x^2+226560 x^3+92160 x^4) \log ^2(5)+(162560+220160 x+321984 x^2+125440 x^3+73280 x^4) \log ^3(5)+(92000+78720 x+163128 x^2+41280 x^3+37960 x^4) \log ^4(5)+(35840+15360 x+58368 x^2+7680 x^3+13120 x^4) \log ^5(5)+(8960+1280 x+13824 x^2+640 x^3+2960 x^4) \log ^6(5)+(1280+1920 x^2+400 x^4) \log ^7(5)+(80+120 x^2+25 x^4) \log ^8(5)+e^x (-65600 x-100480 x^2-60672 x^3-17280 x^4-1728 x^5+(-51200 x-99200 x^2-75392 x^3-28800 x^4-3456 x^5) \log (5)+(-38400 x-65760 x^2-45216 x^3-22560 x^4-3168 x^5) \log ^2(5)+(-12800 x-30720 x^2-15232 x^3-10240 x^4-1664 x^5) \log ^3(5)+(-1600 x-10240 x^2-3184 x^3-2880 x^4-528 x^5) \log ^4(5)+(-1920 x^2-384 x^3-480 x^4-96 x^5) \log ^5(5)+(-160 x^2-32 x^3-40 x^4-8 x^5) \log ^6(5)))}{-1024+e^{5 e^x}-5120 \log (5)-11520 \log ^2(5)-15360 \log ^3(5)-13440 \log ^4(5)-8064 \log ^5(5)-3360 \log ^6(5)-960 \log ^7(5)-180 \log ^8(5)-20 \log ^9(5)-\log ^{10}(5)+e^{4 e^x} (-20-20 \log (5)-5 \log ^2(5))+e^{3 e^x} (160+320 \log (5)+240 \log ^2(5)+80 \log ^3(5)+10 \log ^4(5))+e^{2 e^x} (-640-1920 \log (5)-2400 \log ^2(5)-1600 \log ^3(5)-600 \log ^4(5)-120 \log ^5(5)-10 \log ^6(5))+e^{e^x} (1280+5120 \log (5)+8960 \log ^2(5)+8960 \log ^3(5)+5600 \log ^4(5)+2240 \log ^5(5)+560 \log ^6(5)+80 \log ^7(5)+5 \log ^8(5))} \, dx\)
  3.18.73 \(\int \frac {-13+e^x (-3-3 x)}{9-9 e+13 x+3 e^x x} \, dx\)
  3.18.74 \(\int \frac {-x^3 \log (x)+x^3 \log ^2(x)+(-3 x^2 \log (x)+3 x^2 \log ^2(x)) \log (\log (x))+(-3 x \log (x)+3 x \log ^2(x)) \log ^2(\log (x))+(-\log (x)+\log ^2(x)) \log ^3(\log (x))+e^{\frac {x^2+2 x^3+x^4+(2 x^2+2 x^3) \log (\log (x))+x^2 \log ^2(\log (x))}{x^2+2 x \log (\log (x))+\log ^2(\log (x))}} (2 x^2+2 x^3+(x^3-2 x^4-2 x^5) \log (x)+(2 x^2+(x^2-6 x^3-6 x^4) \log (x)) \log (\log (x))+(3 x-4 x^2-6 x^3) \log (x) \log ^2(\log (x))+(1-2 x^2) \log (x) \log ^3(\log (x)))}{x^4 \log ^2(x)+3 x^3 \log ^2(x) \log (\log (x))+3 x^2 \log ^2(x) \log ^2(\log (x))+x \log ^2(x) \log ^3(\log (x))+e^{\frac {x^2+2 x^3+x^4+(2 x^2+2 x^3) \log (\log (x))+x^2 \log ^2(\log (x))}{x^2+2 x \log (\log (x))+\log ^2(\log (x))}} (x^4 \log (x)+3 x^3 \log (x) \log (\log (x))+3 x^2 \log (x) \log ^2(\log (x))+x \log (x) \log ^3(\log (x)))} \, dx\)
  3.18.75 \(\int \frac {-306000+e^{2 x/25} (3600-288 x)}{180625-4250 e^{2 x/25}+25 e^{4 x/25}} \, dx\)
  3.18.76 \(\int \frac {-8 e^{3+x} x^2+2 e^3 x^2 \log (3)+e^{25+2 x} (e^{3+x} (2-6 x)+e^3 x^2 \log (3))}{x^2} \, dx\)
  3.18.77 \(\int \frac {e^{-x} (3 e^{1+x}+x^{\frac {1}{3} e^{-x} (-2 x+2 e^x x)} (-6 x+e^x (3+6 x)+(-8 x+8 e^x x+6 x^2) \log (x)+(-2 x+2 e^x x+2 x^2) \log ^2(x)))}{3 x} \, dx\)
  3.18.78 \(\int \frac {3+x}{1+x} \, dx\)
  3.18.79 \(\int \frac {7+5 e^2-12 x^2+5 \log (x)}{e} \, dx\)
  3.18.80 \(\int \frac {e^{-2+x-x^6} (-1+6 x^5)}{-1+e^{-2+x-x^6}} \, dx\)
  3.18.81 \(\int -\frac {e^{2 e^5}}{480 x^2} \, dx\)
  3.18.82 \(\int \frac {2 e^3 x-x \log (x)+(-1+2 x-x^2+e^3 (-2+2 x)) \log (-\frac {\log (3)}{1+2 e^3-x})}{x+2 e^3 x-x^2} \, dx\)
  3.18.83 \(\int \frac {500 x+200 x \log (3)+20 x \log ^2(3)+e^{e^x+x} (-500 x-200 x \log (3)-20 x \log ^2(3))+(-1500+250 x+(-600+100 x) \log (3)+(-60+10 x) \log ^2(3)+e^{e^x} (-250-100 \log (3)-10 \log ^2(3))) \log (6+e^{e^x}-x)}{(6 x^2+e^{e^x} x^2-x^3) \log ^3(6+e^{e^x}-x)} \, dx\)
  3.18.84 \(\int e^{-4+\frac {2-4 e^{4+x}-\log (x)}{e^4}} (-x+2 e^4 x+(1-e^4) \log (20)+e^x (-4 e^4 x^2+4 e^4 x \log (20))) \, dx\)
  3.18.85 \(\int \frac {-5+2 x^2+(x+4 x^2) \log (\frac {-4 e x+5 x \log (3)}{e})}{x} \, dx\)
  3.18.86 \(\int \frac {1}{9} (e^{2+\frac {x}{2}} (12+6 x)+e^{4+x} (2 x+x^2)) \, dx\)
  3.18.87 \(\int \frac {2 x+32 x^2+32 x^4+6 x^6+(5+e^2+2 x+16 x^2+8 x^4+x^6) \log (-5-e^2-2 x-16 x^2-8 x^4-x^6)}{5+e^2+2 x+16 x^2+8 x^4+x^6} \, dx\)
  3.18.88 \(\int \frac {-160-8 x^3+(160+8 x^3) \log (\frac {1600-16000 x+40000 x^2-80 x^3+400 x^4+x^6}{400 x^2})}{-40 x+200 x^2+x^4} \, dx\)
  3.18.89 \(\int \frac {-625 x-1250 x^3+1875 x^4+e^x (625+1250 x^2-1875 x^3)+(-2+2 e^x) \log (e^x-x)+(1250 x^2-2500 x^3+e^x (-1250 x+2500 x^2)) \log (x)+(-625 e^x x+625 x^2) \log ^2(x)+\log ^2(e^x-x) (-2 x^2+3 x^3+e^x (2 x-3 x^2)+(2 x-4 x^2+e^x (-2+4 x)) \log (x)+(-e^x+x) \log ^2(x))}{625 e^x x-625 x^2+(e^x-x) \log ^2(e^x-x)} \, dx\)
  3.18.90 \(\int \frac {5-5 \log (\frac {1}{2} (5 x-e x))}{x \log (\frac {1}{2} (5 x-e x))} \, dx\)
  3.18.91 \(\int \frac {-48+180 x+96 x^2+12 x^3+12 x \log (\frac {x}{5})}{80 x^3+40 x^4+5 x^5+(-40 x^2-10 x^3) \log (\frac {x}{5})+5 x \log ^2(\frac {x}{5})} \, dx\)
  3.18.92 \(\int \frac {324 x^3+e^{4/x} (-324+162 x)+e^{2/x} (324 x-486 x^2)}{\sqrt [256]{e}} \, dx\)
  3.18.93 \(\int \frac {e^{\frac {5 x^6}{5-x+5 x^4}} (150 x^5-25 x^6+50 x^9)}{25-10 x+x^2+50 x^4-10 x^5+25 x^8} \, dx\)
  3.18.94 \(\int \frac {-1+(1+8 x^3) \log (\frac {1}{x})+(2+16 x^3) \log ^2(\frac {1}{x})+((-1-8 x^2) \log (\frac {1}{x})+(-2-16 x^2) \log ^2(\frac {1}{x})) \log (x)+(2 x \log (\frac {1}{x})+4 x \log ^2(\frac {1}{x})) \log ^2(x)+((1+8 x^2) \log (\frac {1}{x})+(2+16 x^2) \log ^2(\frac {1}{x})+(-4 x \log (\frac {1}{x})-8 x \log ^2(\frac {1}{x})) \log (x)) \log (\frac {1+2 \log (\frac {1}{x})}{\log (\frac {1}{x})})+(2 x \log (\frac {1}{x})+4 x \log ^2(\frac {1}{x})) \log ^2(\frac {1+2 \log (\frac {1}{x})}{\log (\frac {1}{x})})}{4 x^2 \log (\frac {1}{x})+8 x^2 \log ^2(\frac {1}{x})+(-4 x \log (\frac {1}{x})-8 x \log ^2(\frac {1}{x})) \log (x)+(\log (\frac {1}{x})+2 \log ^2(\frac {1}{x})) \log ^2(x)+(4 x \log (\frac {1}{x})+8 x \log ^2(\frac {1}{x})+(-2 \log (\frac {1}{x})-4 \log ^2(\frac {1}{x})) \log (x)) \log (\frac {1+2 \log (\frac {1}{x})}{\log (\frac {1}{x})})+(\log (\frac {1}{x})+2 \log ^2(\frac {1}{x})) \log ^2(\frac {1+2 \log (\frac {1}{x})}{\log (\frac {1}{x})})} \, dx\)
  3.18.95 \(\int (-2 e^x+e^{-20+e^{e^3} (-5+x)+5 x} (5+e^{e^3})) \, dx\)
  3.18.96 \(\int \frac {e^{\frac {1}{5} (x+x^2+5 e^8 x^8)} (1+2 x+40 e^8 x^7)}{2+e^{\frac {1}{5} (x+x^2+5 e^8 x^8)}} \, dx\)
  3.18.97 \(\int \frac {-1764-64 e^{\frac {32}{x^2}} x^2+210 x^3+50 x^6+e^{\frac {16}{x^2}} (-1344-84 x^2+320 x^3-10 x^5)}{x^5} \, dx\)
  3.18.98 \(\int \frac {(96 x^2-3 x^3+e^x (-32 x^3+x^4)) \log (e^{-x} (-3+e^x x))+(-1728 x+54 x^2+e^x (-576 x+18 x^2)+(54 x-18 e^x x^2) \log (e^{-x} (-3+e^x x))) \log (-\frac {16 \log (e^{-x} (-3+e^x x))}{-32+x})+(-864+27 x+e^x (288 x-9 x^2)) \log (e^{-x} (-3+e^x x)) \log ^2(-\frac {16 \log (e^{-x} (-3+e^x x))}{-32+x})}{(96 x^2-3 x^3+e^x (-32 x^3+x^4)) \log (e^{-x} (-3+e^x x))} \, dx\)
  3.18.99 \(\int (4-2 e^x) \, dx\)
  3.18.100 \(\int \frac {950-60 x-180 x^2+24 x^3}{725+475 x-15 x^2-30 x^3+3 x^4} \, dx\)