3.60 Integrals 5901 to 6000

  3.60.1 \(\int \frac {-2+x^2+e^{2 e^x} (-2+4 e^x x)}{2 x+2 e^{2 e^x} x+3 e x^2+x^3} \, dx\)
  3.60.2 \(\int e^{-6-4 x^3} (-60 x^2+3 e^{6+4 x^3} x^2) \, dx\)
  3.60.3 \(\int \frac {-8+2 x+100 x^4 \log (16-8 x+x^2)+(-200 x^3+50 x^4) \log ^2(16-8 x+x^2)}{(8 x-2 x^2+(-100 x^4+25 x^5) \log ^2(16-8 x+x^2)) \log (\frac {-2+25 x^3 \log ^2(16-8 x+x^2)}{2 x \log ^2(3)})} \, dx\)
  3.60.4 \(\int (-16+e^{2 x} (32-2 \log (\frac {6561}{625}))+\log (\frac {6561}{625})) \, dx\)
  3.60.5 \(\int \frac {-358+1765 x-2425 x^2+625 x^3+(385-125 x) \log (77-25 x)}{-308+1640 x-2425 x^2+625 x^3} \, dx\)
  3.60.6 \(\int \frac {164-36 e^4+32 x+e^x (48+4 x-2 x^2+e^4 (-12+2 x))+(16-4 e^4+4 x) \log (4-e^4+x)}{-256+e^{2 x} (-4+e^4-x)-192 x-48 x^2-4 x^3+e^4 (64+32 x+4 x^2)+e^x (-64-32 x-4 x^2+e^4 (16+4 x))+(-128+e^x (-16+4 e^4-4 x)-64 x-8 x^2+e^4 (32+8 x)) \log (4-e^4+x)+(-16+4 e^4-4 x) \log ^2(4-e^4+x)} \, dx\)
  3.60.7 \(\int \frac {e^{-2 e^{-4+x}} (-2 x^3+2 e^{-4+x} x^4+e^{2 e^{-4+x}+x} (-5+5 x+x^2))}{x^2} \, dx\)
  3.60.8 \(\int \frac {-e+6 e^{2 x} x \log ^2(5 e^x)+(6-6 e^x x) \log (x)+\log (5 e^x) (-6 e^x+6 e^{2 x} x-6 e^x x \log (x))}{3 e^{2 x} x \log ^2(5 e^x)-e x \log (x)-6 e^x x \log (5 e^x) \log (x)+3 x \log ^2(x)} \, dx\)
  3.60.9 \(\int e^{5-x} (-82+x) \, dx\)
  3.60.10 \(\int \frac {5 \log ^4(2)+5 e^{2 x} \log ^2(3)+e^x (-3 x \log ^2(2)-10 \log ^2(2) \log (3))}{5 x \log ^4(2)-10 e^x x \log ^2(2) \log (3)+5 e^{2 x} x \log ^2(3)} \, dx\)
  3.60.11 \(\int \frac {e^{3-x \log (\frac {1}{3} (e^5 x-3 \log (x)))} (-12+4 e^5 x+(4 e^5 x-12 \log (x)) \log (\frac {1}{3} (e^5 x-3 \log (x))))}{-e^5 x+3 \log (x)} \, dx\)
  3.60.12 \(\int \frac {48-8 x^2-14 x^3-3 x^4+e^{5-x} (4 x^2+6 x^3+x^4)}{3 x^2} \, dx\)
  3.60.13 \(\int \frac {-100+(-20 x^2+50 x^3) \log ^2(3)+(-10 x^5+54 x^6-30 x^7+4 x^8) \log ^4(3)}{x^5 \log ^4(3)} \, dx\)
  3.60.14 \(\int \frac {-15+5 \log (x)+(4 x-2 x \log (x)) \log (3 x-x \log (x))+(6 x-2 x \log (x)) \log ^2(3 x-x \log (x))}{-3+\log (x)} \, dx\)
  3.60.15 \(\int \frac {76-6 x+40 \log (2)}{361 x^3-38 x^4+x^5+(380 x^3-20 x^4) \log (2)+100 x^3 \log ^2(2)} \, dx\)
  3.60.16 \(\int \frac {-1+4 x^2-5 x^4+2 x^6+e^{x^2} (-3+2 x-x^4)}{-x+2 x^3-x^5+e^{x^2} (2-3 x-3 x^2+4 x^3+x^4-x^5+e^5 (4-8 x^2+4 x^4))} \, dx\)
  3.60.17 \(\int (1+128 x+816 x^2+1312 x^3+480 x^4+192 x^5+(32 x+192 x^2+256 x^3) \log (2+\log (4))) \, dx\)
  3.60.18 \(\int \frac {e^x (3-15 x+15 x^2+625 x^3)+e^x (-3 x-250 x^2) \log (x)+25 e^x x \log ^2(x)}{25 x^3 \log (9)-10 x^2 \log (9) \log (x)+x \log (9) \log ^2(x)} \, dx\)
  3.60.19 \(\int \frac {250+400 x+180 x^2+32 x^3+2 x^4+e^{2 e^{2 x}} (-2+e^{2 x} (20+4 x))+(250+150 x+30 x^2+2 x^3) \log ^4(3)+e^{e^{2 x}} (-40-8 x+(10+2 x) \log ^4(3)+e^{2 x} (-100-140 x-44 x^2-4 x^3+(-100-40 x-4 x^2) \log ^4(3)))}{125+75 x+15 x^2+x^3} \, dx\)
  3.60.20 \(\int \frac {3 \log ^2(4)+e^{\frac {13-25 x}{25 \log ^2(4)}} (-x+\log ^2(4))}{\log ^2(4)} \, dx\)
  3.60.21 \(\int \frac {-84 x^2-32 x^4+(-80 x+2 x^2-32 x^3) \log (2)+(-20-8 x^2) \log ^2(2)}{4 x^4+4 x^3 \log (2)+x^2 \log ^2(2)} \, dx\)
  3.60.22 \(\int \frac {-7+e^{e^x} (-2+2 e^x x)}{x^2} \, dx\)
  3.60.23 \(\int \frac {-5 e^{5 x}-25 e^{4 x} x-50 e^{3 x} x^2-50 e^{2 x} x^3-25 e^x x^4-5 x^5+e^{\frac {5 e^{4 x}+20 e^{3 x} x+20 e^x x^3+5 x^4+e^{2 x} (-1+x+30 x^2)}{5 e^{4 x}+20 e^{3 x} x+30 e^{2 x} x^2+20 e^x x^3+5 x^4}} (e^{3 x} (3-2 x)+e^{2 x} (4-5 x+2 x^2))}{5 e^{5 x}+25 e^{4 x} x+50 e^{3 x} x^2+50 e^{2 x} x^3+25 e^x x^4+5 x^5} \, dx\)
  3.60.24 \(\int \frac {e^{\frac {46+2 x+(8+x) \log (2)}{23+x+4 \log (2)}} (-23 \log (2)-4 \log ^2(2))}{529+46 x+x^2+(184+8 x) \log (2)+16 \log ^2(2)} \, dx\)
  3.60.25 \(\int \frac {-4 x^3+4 x^4-x^5+(8 x^3-8 x^4+2 x^5) \log (x)+(40-40 x) \log ^2(x)}{(4 x^2-4 x^3+x^4) \log ^2(x)} \, dx\)
  3.60.26 \(\int \frac {e^{-x} (3 e^x x^2+e^{e^{e^{\frac {1}{3} e^{\frac {2-x^2}{x}}}}} (3 x^2+e^{e^{\frac {1}{3} e^{\frac {2-x^2}{x}}}+\frac {1}{3} e^{\frac {2-x^2}{x}}+\frac {2-x^2}{x}} (2+x^2)))}{3 x^2} \, dx\)
  3.60.27 \(\int -\frac {4}{5 x^3} \, dx\)
  3.60.28 \(\int \frac {(3 x+x^2+\frac {1}{2} e^x (-3 x-x^2)) \log ^2(3 x+x^2)+e^{\frac {-4+(-4-x) \log (3 x+x^2)}{\log (3 x+x^2)}} (12+8 x+(-3 x-x^2) \log ^2(3 x+x^2))}{(3 x+x^2) \log ^2(3 x+x^2)} \, dx\)
  3.60.29 \(\int e^{-x^2} (-4 e^{x^2} x^3+e^{2 e^{-x^2} (3 e^{x^2}+x)} (-2 e^{x^2} x-2 x^2+4 x^4)+e^{e^{-x^2} (3 e^{x^2}+x)} (6 e^{x^2} x^2+2 x^3-4 x^5)) \, dx\)
  3.60.30 \(\int 2 e \, dx\)
  3.60.31 \(\int \frac {e^{9 x} (8-72 x+24 x^2-72 x^3+10 x^4-18 x^5) \log (27)+(16 x^3+8 x^5) \log (27)}{e^{18 x}+2 e^{9 x} x+x^2} \, dx\)
  3.60.32 \(\int \frac {3 x^3+e^{4+2 x} (x-4 x^2)+e^x (-x^2-2 x^3)}{2 e^{20+10 x}+2 e^{5 x} x^5-10 e^{4 x} x^6+20 e^{3 x} x^7-20 e^{2 x} x^8+10 e^x x^9-2 x^{10}+e^{16+8 x} (10 e^x x-10 x^2)+e^{12+6 x} (20 e^{2 x} x^2-40 e^x x^3+20 x^4)+e^{8+4 x} (20 e^{3 x} x^3-60 e^{2 x} x^4+60 e^x x^5-20 x^6)+e^{4+2 x} (10 e^{4 x} x^4-40 e^{3 x} x^5+60 e^{2 x} x^6-40 e^x x^7+10 x^8)} \, dx\)
  3.60.33 \(\int \frac {e^{e^x+x} (e^x (50-50 x)-50 x)}{(-1+e^{e^x+x} (-50+50 x)) \log ^2(1+e^{e^x+x} (50-50 x))} \, dx\)
  3.60.34 \(\int \frac {1875-74 x^2}{x^2} \, dx\)
  3.60.35 \(\int \frac {-19073486328125+6866455078125 x^2-1098632812500 x^4+102539062500 x^6-6152343750 x^8+246093750 x^{10}-6562500 x^{12}+112500 x^{14}-1125 x^{16}+5 x^{18}+e^{\frac {3}{610351562500-195312500000 x^2+27343750000 x^4-2187500000 x^6+109375000 x^8-3500000 x^{10}+70000 x^{12}-800 x^{14}+4 x^{16}}} (30517578125000-10986328125000 x^2+1757812500000 x^4-164062500000 x^6+9843750000 x^8-393750000 x^{10}+10500000 x^{12}-180000 x^{14}+1800 x^{16}-8 x^{18})+e^{\frac {6}{610351562500-195312500000 x^2+27343750000 x^4-2187500000 x^6+109375000 x^8-3500000 x^{10}+70000 x^{12}-800 x^{14}+4 x^{16}}} (-15258789062500+5493164062404 x^2-878906250000 x^4+82031250000 x^6-4921875000 x^8+196875000 x^{10}-5250000 x^{12}+90000 x^{14}-900 x^{16}+4 x^{18})+(-30517578125000+10986328125000 x^2-1757812500000 x^4+164062500000 x^6-9843750000 x^8+393750000 x^{10}-10500000 x^{12}+180000 x^{14}-1800 x^{16}+8 x^{18}+e^{\frac {3}{610351562500-195312500000 x^2+27343750000 x^4-2187500000 x^6+109375000 x^8-3500000 x^{10}+70000 x^{12}-800 x^{14}+4 x^{16}}} (30517578125000-10986328124904 x^2+1757812500000 x^4-164062500000 x^6+9843750000 x^8-393750000 x^{10}+10500000 x^{12}-180000 x^{14}+1800 x^{16}-8 x^{18})) \log (x)+(-15258789062500+5493164062500 x^2-878906250000 x^4+82031250000 x^6-4921875000 x^8+196875000 x^{10}-5250000 x^{12}+90000 x^{14}-900 x^{16}+4 x^{18}) \log ^2(x)}{-3814697265625+1373291015625 x^2-219726562500 x^4+20507812500 x^6-1230468750 x^8+49218750 x^{10}-1312500 x^{12}+22500 x^{14}-225 x^{16}+x^{18}} \, dx\)
  3.60.36 \(\int \frac {-4-1152 x-904 x^2-216 x^3-16 x^4+e^5 (-7040 x-5824 x^2-1536 x^3-128 x^4)+e^{15} (-80352 x-92160 x^2-38976 x^3-7168 x^4-480 x^5)+e^{10} (-30048 x-30176 x^2-10800 x^3-1600 x^4-80 x^5)+e^{25} (-230688 x-354240 x^2-216000 x^3-65280 x^4-9760 x^5-576 x^6)+e^{20} (-163080 x-219888 x^2-115056 x^3-28864 x^4-3400 x^5-144 x^6)+e^{35} (-163296 x-326592 x^2-272160 x^3-120960 x^4-30240 x^5-4032 x^6-224 x^7)+e^{30} (-244944 x-435456 x^2-317520 x^3-120960 x^4-25200 x^5-2688 x^6-112 x^7)+e^{40} (-69984 x-163296 x^2-163296 x^3-90720 x^4-30240 x^5-6048 x^6-672 x^7-32 x^8)}{63001 x+144576 x^2+139670 x^3+74124 x^4+23639 x^5+4644 x^6+550 x^7+36 x^8+x^9+e^5 (771072 x+1768256 x^2+1726352 x^3+936640 x^4+308704 x^5+63264 x^6+7872 x^7+544 x^8+16 x^9)+e^{10} (5250816 x+12495504 x^2+12856232 x^3+7485320 x^4+2708144 x^5+628352 x^6+92880 x^7+8352 x^8+408 x^9+8 x^{10})+e^{15} (24634368 x+61398864 x^2+66894336 x^3+41757840 x^4+16432544 x^5+4219552 x^6+705472 x^7+73872 x^8+4384 x^9+112 x^{10})+e^{20} (88006176 x+231559020 x^2+268957044 x^3+181099452 x^4+78004732 x^5+22350752 x^6+4285848 x^7+537772 x^8+41596 x^9+1740 x^{10}+28 x^{11})+e^{25} (250511616 x+697894704 x^2+865077840 x^3+627485328 x^4+294493200 x^5+93268000 x^6+20140928 x^7+2920080 x^8+271056 x^9+14480 x^{10}+336 x^{11})+e^{30} (584961264 x+1729205496 x^2+2290471344 x^3+1790543232 x^4+915313392 x^5+320091912 x^6+77750400 x^7+13024328 x^8+1458624 x^9+102144 x^{10}+3888 x^{11}+56 x^{12})+e^{35} (1137484944 x+3569522256 x^2+5049648864 x^3+4246618752 x^4+2356128432 x^5+904257648 x^6+244526352 x^7+46486928 x^8+6071424 x^9+516864 x^{10}+25680 x^{11}+560 x^{12})+e^{40} (1859269302 x+6195088656 x^2+9357185934 x^3+8457998940 x^4+5085305874 x^5+2136903552 x^6+641272212 x^7+137808408 x^8+20901410 x^9+2158608 x^{10}+141486 x^{11}+5100 x^{12}+70 x^{13})+e^{45} (2559734784 x+9051030720 x^2+14579591760 x^3+14137467840 x^4+9183475440 x^5+4205851776 x^6+1390828320 x^7+334108800 x^8+57754080 x^9+6988480 x^{10}+560016 x^{11}+26560 x^{12}+560 x^{13})+e^{50} (2962842624 x+11112864336 x^2+19076921064 x^3+19822775544 x^4+13890511800 x^5+6918985656 x^6+2514459024 x^7+672897456 x^8+132024816 x^9+18638400 x^{10}+1822216 x^{11}+114904 x^{12}+4056 x^{13}+56 x^{14})+e^{55} (2857026816 x+11357248464 x^2+20751235776 x^3+23064696864 x^4+17390324160 x^5+9386848944 x^6+3729027456 x^7+1102901184 x^8+242580096 x^9+39132720 x^{10}+4492224 x^{11}+346656 x^{12}+16064 x^{13}+336 x^{14})+e^{60} (2261812896 x+9525548484 x^2+18514695852 x^3+21996618552 x^4+17828546472 x^5+10416007404 x^6+4516653636 x^7+1473828048 x^8+362715408 x^9+66754908 x^{10}+8996724 x^{11}+854136 x^{12}+53288 x^{13}+1908 x^{14}+28 x^{15})+e^{65} (1428513408 x+6368788944 x^2+13154227632 x^3+16679216736 x^4+14501174688 x^5+9142044912 x^6+4308320016 x^7+1541187648 x^8+420323904 x^9+86918832 x^{10}+13405392 x^{11}+1493856 x^{12}+113568 x^{13}+5264 x^{14}+112 x^{15})+e^{70} (688747536 x+3252418920 x^2+7142567040 x^3+9672226200 x^4+9027411120 x^5+6147237096 x^6+3152429280 x^7+1238454360 x^8+375289200 x^9+87567480 x^{10}+15567552 x^{11}+2063880 x^{12}+196560 x^{13}+12600 x^{14}+480 x^{15}+8 x^{16})+e^{75} (229582512 x+1147912560 x^2+2678462640 x^3+3868890480 x^4+3868890480 x^5+2837186352 x^6+1576214640 x^7+675520560 x^8+225173520 x^9+58378320 x^{10}+11675664 x^{11}+1769040 x^{12}+196560 x^{13}+15120 x^{14}+720 x^{15}+16 x^{16})+e^{80} (43046721 x+229582512 x^2+573956280 x^3+892820880 x^4+967222620 x^5+773778096 x^6+472864392 x^7+225173520 x^8+84440070 x^9+25019280 x^{10}+5837832 x^{11}+1061424 x^{12}+147420 x^{13}+15120 x^{14}+1080 x^{15}+48 x^{16}+x^{17})+(502 x+576 x^2+226 x^3+36 x^4+2 x^5+e^5 (3072 x+3520 x^2+1456 x^3+256 x^4+16 x^5)+e^{10} (11520 x+15024 x^2+7544 x^3+1800 x^4+200 x^5+8 x^6)+e^{15} (27648 x+40176 x^2+23040 x^3+6496 x^4+896 x^5+48 x^6)+e^{20} (49248 x+81540 x^2+54972 x^3+19176 x^4+3608 x^5+340 x^6+12 x^7)+e^{25} (62208 x+115344 x^2+88560 x^3+36000 x^4+8160 x^5+976 x^6+48 x^7)+e^{30} (58320 x+122472 x^2+108864 x^3+52920 x^4+15120 x^5+2520 x^6+224 x^7+8 x^8)+e^{35} (34992 x+81648 x^2+81648 x^3+45360 x^4+15120 x^5+3024 x^6+336 x^7+16 x^8)+e^{40} (13122 x+34992 x^2+40824 x^3+27216 x^4+11340 x^5+3024 x^6+504 x^7+48 x^8+2 x^9)) \log (x)+x \log ^2(x)} \, dx\)
  3.60.37 \(\int -\frac {44}{25} e^{\frac {1}{5} (10-11 x)} \, dx\)
  3.60.38 \(\int \frac {-9 e^{\frac {9}{\log (3 x+x \log (16))}}+3 x \log ^2(3 x+x \log (16))}{e^{\frac {9}{\log (3 x+x \log (16))}} x \log ^2(3 x+x \log (16))+(10 x+3 x^2) \log ^2(3 x+x \log (16))} \, dx\)
  3.60.39 \(\int \frac {1}{5} e^{\frac {1}{5} (e^x \log (4)+(-2+2 x) \log (4))} x^{-1+e^{\frac {1}{5} (e^x \log (4)+(-2+2 x) \log (4))}} (5+(2 x \log (4)+e^x x \log (4)) \log (x)) \, dx\)
  3.60.40 \(\int \frac {6 e^{8 e^{1171875/x}} x+6 x^3+e^{4 e^{1171875/x}} (-9375000 e^{1171875/x}-2 x+12 x^2)+(6 e^{8 e^{1171875/x}} x-2 x^2+6 x^3+e^{4 e^{1171875/x}} (-2 x+12 x^2)) \log (\frac {x-3 e^{4 e^{1171875/x}} x-3 x^2}{3 e^{4 e^{1171875/x}}+3 x})}{3 e^{8 e^{1171875/x}} x-x^2+3 x^3+e^{4 e^{1171875/x}} (-x+6 x^2)} \, dx\)
  3.60.41 \(\int e^{-2 e^x} (e^{2 e^x+2 x+x^2} (40+40 x)+e^{2 x+x^2} (4 x+4 x^2-4 e^x x^2+4 x^3)) \, dx\)
  3.60.42 \(\int \frac {-8 x+8 x^2+(8 x-16 x^2) \log (x)+\frac {e^{-3+x^2} (-2 x+2 x^2+(6 x-4 x^2-8 x^3) \log (x))}{x}+(16 x-16 x \log (x)+\frac {e^{-3+x^2} (4 x+(4-4 x-8 x^2) \log (x))}{x}) \log (4 \log (5)+\frac {e^{-3+x^2} \log (5)}{x})+(8+\frac {2 e^{-3+x^2}}{x}) \log ^2(4 \log (5)+\frac {e^{-3+x^2} \log (5)}{x})}{e^{-3+x^2} \log ^2(x)+4 x \log ^2(x)} \, dx\)
  3.60.43 \(\int \frac {-10 x^2+(10 \log (x)-10 \log ^2(x)) \log (\frac {x^2}{16})}{3 x^3 \log (\frac {x^2}{16})} \, dx\)
  3.60.44 \(\int \frac {x-2 x^2+e^{2 e+2 e^5} (24-28 x+8 x^2)+(x-4 e^{2 e+2 e^5} x) \log (x)}{x} \, dx\)
  3.60.45 \(\int \frac {24 e^{-\frac {8}{x^3 \log (3)}}}{x^4 \log (3)} \, dx\)
  3.60.46 \(\int \frac {e^x (-2-2 x)-x-2 x^2-x^3-e^x x^2 \log (x^2)}{45 x+120 x^2+110 x^3+40 x^4+5 x^5+e^x (30 x+40 x^2+10 x^3) \log (x^2)+5 e^{2 x} x \log ^2(x^2)} \, dx\)
  3.60.47 \(\int \frac {e^{2 x} (e^4 (48-96 x)-168 x+168 x^2+e^{\frac {1}{3} (2-2 x)} (-48+128 x))}{48 e^8 x^2+48 e^{\frac {2}{3} (2-2 x)} x^2-168 e^4 x^3+147 x^4+e^{\frac {1}{3} (2-2 x)} (-96 e^4 x^2+168 x^3)} \, dx\)
  3.60.48 \(\int \frac {(20+4 x) \log (\frac {1}{25} e^{2 x} (576+288 x+36 x^2))}{4+x} \, dx\)
  3.60.49 \(\int \frac {4+4 x+e^{\frac {1}{16} (-625 e^{12+4 x}+16 x-2500 e^{9+3 x} x-3750 e^{6+2 x} x^2-2500 e^{3+x} x^3-625 x^4+(-500 e^{9+3 x}-1500 e^{6+2 x} x-1500 e^{3+x} x^2-500 x^3) \log (x)+(-150 e^{6+2 x}-300 e^{3+x} x-150 x^2) \log ^2(x)+(-20 e^{3+x}-20 x) \log ^3(x)-\log ^4(x))} (-4 x+625 e^{12+4 x} x+125 x^3+625 x^4+e^{9+3 x} (125+625 x+1875 x^2)+e^{6+2 x} (375 x+1875 x^2+1875 x^3)+e^{3+x} (375 x^2+1875 x^3+625 x^4)+(375 e^{9+3 x} x+75 x^2+375 x^3+e^{6+2 x} (75+375 x+750 x^2)+e^{3+x} (150 x+750 x^2+375 x^3)) \log (x)+(15 x+75 e^{6+2 x} x+75 x^2+e^{3+x} (15+75 x+75 x^2)) \log ^2(x)+(1+5 x+5 e^{3+x} x) \log ^3(x))}{4 x} \, dx\)
  3.60.50 \(\int \frac {50-130 x-25 \log (x^2)-100 \log ^2(x^2)}{(25-130 x+169 x^2) \log ^2(x^2)} \, dx\)
  3.60.51 \(\int \frac {e^{-\frac {2 (e^{9+6 x+x^2}-x)}{x \log (\log (x))}} (8 e^{17+6 x+x^2}-8 e^8 x+e^{17+6 x+x^2} (8-48 x-16 x^2) \log (x) \log (\log (x))-8 e^8 x \log (x) \log ^2(\log (x)))}{x^4 \log (x) \log ^2(\log (x))} \, dx\)
  3.60.52 \(\int \frac {8-32 e^{2 x}-32 x+e^x (32+32 x)}{100+e^{16}+4 e^{4 x}-20 x-16 e^{3 x} x+41 x^2-4 x^3+4 x^4+e^8 (20-2 x+4 x^2)+e^{2 x} (40+4 e^8-4 x+24 x^2)+e^x (-80 x-8 e^8 x+8 x^2-16 x^3)} \, dx\)
  3.60.53 \(\int \frac {-9 e^{15} x+9 e^{30} x+e^{30+\frac {4}{x}+\frac {x}{9}} (36+9 x-x^2)}{9 x+9 e^{30+\frac {8}{x}+\frac {2 x}{9}} x+e^{15} (-18 x+18 x^2)+e^{30} (9 x-18 x^2+9 x^3)+e^{\frac {4}{x}+\frac {x}{9}} (-18 e^{15} x+e^{30} (18 x-18 x^2))} \, dx\)
  3.60.54 \(\int \frac {260+96 e^{2 x}+5 e^{4 x}+2 x-x^2}{256+32 e^{2 x}+e^{4 x}+4 x-x^2} \, dx\)
  3.60.55 \(\int \frac {e^{-\frac {60+20 x^4-e^x x^4}{2 x^4}} (240+4 x^4+4 e^{\frac {60+20 x^4-e^x x^4}{2 x^4}} x^4+e^x x^5+e^{\frac {60+20 x^4-e^x x^4}{4 x^4}} (-240-8 x^4-e^x x^5))}{2 x^3} \, dx\)
  3.60.56 \(\int \frac {(8 e^{10} x+4 x^2+14 x^3+16 x^4+8 x^5+e^5 (2 x+16 x^2+16 x^3)) \log (\frac {1+e^5 (4-x)+4 x+3 x^2-x^3}{e^5 x+x^2+x^3})+(-2 x^2-10 x^3-14 x^4-4 x^5+2 x^6+e^{10} (-8 x+2 x^2)+e^5 (-2 x-16 x^2-12 x^3+4 x^4)) \log ^2(\frac {1+e^5 (4-x)+4 x+3 x^2-x^3}{e^5 x+x^2+x^3})}{e^{10} (-4+x)-x-5 x^2-7 x^3-2 x^4+x^5+e^5 (-1-8 x-6 x^2+2 x^3)} \, dx\)
  3.60.57 \(\int \frac {1+2 x+e^{16-8 e^{x^2}+e^{2 x^2}} (-x+16 e^{x^2} x^3-4 e^{2 x^2} x^3)}{x} \, dx\)
  3.60.58 \(\int \frac {(2 e^x x^2+e^{\frac {5 e^{-x}}{x}} (-10-10 x) \log (18)) \log (\frac {x+e^{\frac {5 e^{-x}}{x}} \log (18)}{\log (18)})+(e^x x^2+e^{\frac {5 e^{-x}}{x}+x} x \log (18)) \log ^2(\frac {x+e^{\frac {5 e^{-x}}{x}} \log (18)}{\log (18)})}{2 e^x x^2+2 e^{\frac {5 e^{-x}}{x}+x} x \log (18)} \, dx\)
  3.60.59 \(\int \frac {e^{1-10 x-x^2} (2-20 x-14 x^2-2 x^3)}{4+4 x+x^2} \, dx\)
  3.60.60 \(\int \frac {e^{5+x^2} (-3 x^2-4 x^3-4 x^4-4 x^5-4 x^6+6 x^7)}{1+4 x+8 x^2+2 x^3-8 x^4-12 x^5+9 x^6} \, dx\)
  3.60.61 \(\int \frac {e^{\frac {2-\log (\frac {(-4+x) \log (4)}{16 x})}{-2+x}} (8+4 x-2 x^2+(-4 x+x^2) \log (\frac {(-4+x) \log (4)}{16 x}))}{-16 x+20 x^2-8 x^3+x^4} \, dx\)
  3.60.62 \(\int \frac {(e^{\frac {3}{4}-\frac {x^2}{e}})^{\frac {1}{x}} (-2 x^2-e \log (e^{\frac {3}{4}-\frac {x^2}{e}}))}{e x^2} \, dx\)
  3.60.63 \(\int e^{81+e^{2 x} (4+8 e^3+4 e^6)+18 x+x^2+4 e^6 x^2+e^3 (36 x+4 x^2)+e^x (36+4 x+8 e^6 x+e^3 (36+12 x))} (18+e^{2 x} (8+16 e^3+8 e^6)+2 x+8 e^6 x+e^3 (36+8 x)+e^x (40+4 x+e^6 (8+8 x)+e^3 (48+12 x))) \, dx\)
  3.60.64 \(\int \frac {e (-30 x^4-5 x^5)+(x^3+30 x^5+5 x^6) \log ^2(x)+(e (60 x^2+10 x^3)+(-x-60 x^3-10 x^4) \log ^2(x)) \log (2 x)+(e (-30-5 x)+(30 x+5 x^2) \log ^2(x)) \log ^2(2 x)+(6+x-12 x^2-2 x^3) \log ^2(x) \log (6+x)}{(30 x^5+5 x^6) \log ^2(x)+(-60 x^3-10 x^4) \log ^2(x) \log (2 x)+(30 x+5 x^2) \log ^2(x) \log ^2(2 x)} \, dx\)
  3.60.65 \(\int \frac {e^{e^{\frac {-x+(4+x) \log (x)}{4+x}}+\frac {-x+(4+x) \log (x)}{4+x}} (16+4 x+x^2)}{16 x+8 x^2+x^3} \, dx\)
  3.60.66 \(\int \frac {e^{4/x} (420 x+24 x^2-12 x^3) \log (\frac {5+x}{x})+\log (x) (e^{4/x} (-420 x+60 x^2)+e^{4/x} (-1680+324 x+12 x^2-24 x^3) \log (\frac {5+x}{x}))}{5 x+x^2} \, dx\)
  3.60.67 \(\int \frac {1}{4} (1+2 x+e^x (1+x)+(-4-8 x) \log (9)) \, dx\)
  3.60.68 \(\int e^{-x+\frac {1}{5} e^{-x} (1125 x+150 x^2+5 x^3+e^x (225 x^3+30 x^4+x^5))} (225-165 x-27 x^2-x^3+e^x (135 x^2+24 x^3+x^4)) \, dx\)
  3.60.69 \(\int \frac {-4 x^2+2 x^3+(8 x-8 x^2+2 x^3) \log (1-x)+(-4+6 x-2 x^2) \log ^2(1-x)+e^{10-2 e^x} (-4 x^2+2 x^3+e^x (-4 x^3+4 x^4)+(4 x-2 x^2+e^x (8 x^2-8 x^3)) \log (1-x)+e^x (-4 x+4 x^2) \log ^2(1-x))+(4 x^2-2 x^3+(-4 x+2 x^2) \log (1-x)) \log (x^2)}{-x^4+x^5+e^{30-6 e^x} (-x+x^2)+(3 x^3-3 x^4) \log (x^2)+(-3 x^2+3 x^3) \log ^2(x^2)+(x-x^2) \log ^3(x^2)+e^{20-4 e^x} (-3 x^2+3 x^3+(3 x-3 x^2) \log (x^2))+e^{10-2 e^x} (-3 x^3+3 x^4+(6 x^2-6 x^3) \log (x^2)+(-3 x+3 x^2) \log ^2(x^2))} \, dx\)
  3.60.70 \(\int \frac {e^{\frac {e^{5+4 x} (5 x+x^2)+e^5 (x+6 x^2+6 x^3+x^4)}{e^{4 x}+x+x^2}} (e^{5+8 x} (5+2 x)+e^{5+4 x} (1+8 x+10 x^2+4 x^3)+e^5 (5 x^2+12 x^3+9 x^4+2 x^5))}{e^{8 x}+x^2+2 x^3+x^4+e^{4 x} (2 x+2 x^2)} \, dx\)
  3.60.71 \(\int \frac {4-128 x-8 x^2+386 x^3-60 x^4-258 x^5+190 x^6+64 x^7+e^x (-128+256 x^2+64 x^3-128 x^4-64 x^5+192 x^6)+(4 x^2-128 x^3-4 x^4+254 x^5+64 x^6+e^x (-128 x^2+128 x^4+192 x^5)) \log (\frac {1}{256} (x^2+1024 e^{2 x} x^2-64 x^3+1024 x^4+e^x (-64 x^2+2048 x^3)))}{-x^5+32 e^x x^5+32 x^6} \, dx\)
  3.60.72 \(\int \frac {-8 x^2+(e^5+x^2) \log (5)}{8 x^2} \, dx\)
  3.60.73 \(\int \frac {e^{-\frac {2}{3} (1-2 x+2 x^2)} (-12+(4 x-8 x^2) \log (x^2))}{3 x \log ^3(x^2)} \, dx\)
  3.60.74 \(\int \log (5) \, dx\)
  3.60.75 \(\int 3 e^{6565+e^5} \, dx\)
  3.60.76 \(\int \frac {-2 x^4+e^{9+x} (-2+x+5 x^2-4 x^3-5 e x^3-4 x^4)+5 e^{9+x} x^3 \log (x)}{x^3} \, dx\)
  3.60.77 \(\int \frac {-40+32 x}{-5 x+2 x^2} \, dx\)
  3.60.78 \(\int \frac {5+e^{2-x} (2 x^2-2 x^3)-10 \log (\frac {221}{25})}{10 x^2} \, dx\)
  3.60.79 \(\int \frac {1}{2} e^{e^{\frac {1}{2} (14-2 e^4+2 e^{x^2}-x)}+\frac {1}{2} (14-2 e^4+2 e^{x^2}-x)} (-1+4 e^{x^2} x) \, dx\)
  3.60.80 \(\int \frac {e^4 (44-28 x+111 x^2-90 x^3+e^6 (4-12 x+9 x^2))}{484 x^2-308 x^3+709 x^4-210 x^5+225 x^6+e^{12} (4 x^2-12 x^3+9 x^4)+e^6 (88 x^2-160 x^3+102 x^4-90 x^5)} \, dx\)
  3.60.81 \(\int \frac {4 e^x x+(10-2 e^4-2 e^x) \log (\frac {4 (5-e^4-e^x)^2}{e^{10}})}{(-5 x+e^4 x+e^x x) \log (\frac {4 (5-e^4-e^x)^2}{e^{10}})} \, dx\)
  3.60.82 \(\int \frac {4 e^{8 x} x+32 e^{7 x} x^2+16 x^5-32 x^6+32 x^7-16 x^8+4 x^9+e^{6 x} (-16 x^2+112 x^3)+e^{5 x} (-10 x+15 x^2-96 x^3+224 x^4)+e^{4 x} (-20 x^2+72 x^3-240 x^4+280 x^5)+e^{3 x} (10 x^2-10 x^3+158 x^4-320 x^5+224 x^6)+e^{2 x} (-12 x^4+192 x^5-240 x^6+112 x^7)+e^x (-20 x^4-44 x^5+123 x^6-96 x^7+32 x^8)}{2 e^{8 x}+16 e^{7 x} x+8 x^4-16 x^5+16 x^6-8 x^7+2 x^8+e^{6 x} (-8 x+56 x^2)+e^{5 x} (-48 x^2+112 x^3)+e^{4 x} (16 x^2-120 x^3+140 x^4)+e^{3 x} (64 x^3-160 x^4+112 x^5)+e^{2 x} (-16 x^3+96 x^4-120 x^5+56 x^6)+e^x (-32 x^4+64 x^5-48 x^6+16 x^7)} \, dx\)
  3.60.83 \(\int \frac {e^4 (-2+x-2 x^2)}{25 x-10 x^2+11 x^3-2 x^4+x^5+(10 x-2 x^2+2 x^3) \log (2 x^2)+x \log ^2(2 x^2)} \, dx\)
  3.60.84 \(\int \frac {-2 e^4-e^4 x \log (\frac {x}{4+2 x})}{x} \, dx\)
  3.60.85 \(\int \frac {1}{3} (18 x^2+e^x (-12 x^2-4 x^3)+e^{e^x (3 x+x^2)} (4+e^x (12 x+20 x^2+4 x^3))) \, dx\)
  3.60.86 \(\int \frac {1}{5} (10+4 e^{x^2} x+10 x \log ^2(3)) \, dx\)
  3.60.87 \(\int \frac {e^{\frac {2 (-e^5 x+x^2+(1-x) \log (4))}{\log (4)}} (-50 e^5 x+100 x^2+(25-50 x) \log (4))}{9 \log (4)} \, dx\)
  3.60.88 \(\int \frac {1}{25} (-8 x+10 e x-15 x^2) \, dx\)
  3.60.89 \(\int \frac {e^x}{-7+e^x} \, dx\)
  3.60.90 \(\int \frac {5022+2832 x-48 x^2-292 x^3-62 x^4-4 x^5+(186+36 x-22 x^2-4 x^3) \log (\frac {e^x (3-x)}{3+x})}{-9+x^2} \, dx\)
  3.60.91 \(\int \frac {x+(2 x-3 x^2-6 x^5) \log (x)+2 x \log (x) \log (\log (x))}{\log (x)} \, dx\)
  3.60.92 \(\int \frac {e^x (-10+10 x)+(-5 e^x+5 x) \log (\frac {e^{2 x}-2 e^x x+x^2}{x^2})+(6 e^x x-6 x^2) \log ^2(\frac {e^{2 x}-2 e^x x+x^2}{x^2})}{(e^x-x) \log ^2(\frac {e^{2 x}-2 e^x x+x^2}{x^2})} \, dx\)
  3.60.93 \(\int \frac {-3-3 e^5-5 x-3 x^2+3 x^3+(-5 x-6 x^2+9 x^3) \log (x)}{3 x} \, dx\)
  3.60.94 \(\int \frac {40+8 \log (x)+(32-24 x+8 e x+(8-6 x+2 e x) \log (x)) \log (\frac {4-3 x+e x}{x})}{4 x^2-3 x^3+e x^3} \, dx\)
  3.60.95 \(\int \frac {-128+e^x (-128-128 x)}{81+324 x+432 x^2+192 x^3+192 e^{3 x} x^3+(324+864 x+576 x^2) \log (3)+(432+576 x) \log ^2(3)+192 \log ^3(3)+e^{2 x} (432 x^2+576 x^3+576 x^2 \log (3))+e^x (324 x+864 x^2+576 x^3+(864 x+1152 x^2) \log (3)+576 x \log ^2(3))} \, dx\)
  3.60.96 \(\int \frac {(-3-\log (\frac {3}{x})) \sqrt [4]{4 x+x \log (\frac {3}{x})}}{50176 x+12544 x \log (\frac {3}{x})+\sqrt {4 x+x \log (\frac {3}{x})} (16 x+4 x \log (\frac {3}{x}))+\sqrt [4]{4 x+x \log (\frac {3}{x})} (1792 x+448 x \log (\frac {3}{x}))} \, dx\)
  3.60.97 \(\int \frac {4 x^2+(-1+2 x^2) \log (4)}{4 x^2} \, dx\)
  3.60.98 \(\int \frac {10 x+(-5+5 x) \log (-x^2)+x^3 \log ^2(-x^2)+x \log ^2(x) \log ^2(-x^2)+\log (x) (-10-2 x^2 \log ^2(-x^2))}{x^3 \log ^2(-x^2)-2 x^2 \log (x) \log ^2(-x^2)+x \log ^2(x) \log ^2(-x^2)} \, dx\)
  3.60.99 \(\int \frac {e^{-6+2 x} (e^{6-2 x} (-10+x+x^3) \log ^2(2)+4^{2 e^{-6+2 x}} (-2 e^{6-2 x}+4 x \log (4)))}{x^3 \log ^2(2)} \, dx\)
  3.60.100 \(\int \frac {-5+(5+4 x \log (\frac {5}{4+e})) \log (\frac {5+4 x \log (\frac {5}{4+e})}{x \log (\frac {5}{4+e})})}{10+8 x \log (\frac {5}{4+e})} \, dx\)