3.85 Integrals 8401 to 8500

  3.85.1 \(\int \frac {-32-32 x+(-128-64 x-32 x^2-32 \log (2)) \log (\frac {5}{16+8 x+4 x^2+4 \log (2)})}{(-8 x-4 x^2-2 x^3-2 x \log (2)) \log (\frac {5}{16+8 x+4 x^2+4 \log (2)})+(4+2 x+x^2+\log (2)) \log (\frac {5}{16+8 x+4 x^2+4 \log (2)}) \log (\log (\frac {5}{16+8 x+4 x^2+4 \log (2)}))} \, dx\)
  3.85.2 \(\int \frac {1}{5} (10 x+e^{e^{\frac {1}{5} (10 x-2 e^{e^x} x-2 e^x x+2 x^2)}} (-5+e^{\frac {1}{5} (10 x-2 e^{e^x} x-2 e^x x+2 x^2)} (-10 x-4 x^2+e^x (2 x+2 x^2)+e^{e^x} (2 x+2 e^x x^2)))) \, dx\)
  3.85.3 \(\int \frac {8 e^x+e^{\frac {e^{x^2} x}{8}} (-8 e^x+e^{x^2} (-1-2 x^2))}{-8+8 e^{\frac {e^{x^2} x}{8}}} \, dx\)
  3.85.4 \(\int \frac {50 x+25 x^2+(50 x+25 x^2) \log (x)+(90+60 x+10 x^2+(-30-10 x) \log (3+x)) \log (1+\log (x))+(10 x+5 x^2+(10 x+5 x^2) \log (x)) \log ^2(1+\log (x))}{6 x+2 x^2+(6 x+2 x^2) \log (x)} \, dx\)
  3.85.5 \(\int \frac {(1-6 x^2) \log (2)+\log (2) \log (3)}{5+(1+x-2 x^3) \log (2)+x \log (2) \log (3)} \, dx\)
  3.85.6 \(\int \frac {9 x^2+3 x^3+(-3 x^2+3 x^3) \log (-1+x)+e^{e^x x} (-25 x+(-25+25 x+e^x (25 x-25 x^3)) \log (-1+x))}{-3 x^2+3 x^3} \, dx\)
  3.85.7 \(\int \frac {-2 x^2+e^x (4 x-2 x^2)+e^{1+x} (e^x-x^2)}{5 e^{5+2 x} x^2+20 e^{4+x} x^3+20 e^3 x^4} \, dx\)
  3.85.8 \(\int \frac {(-32 x+10 e^5 x-8 e^{15} x) \log (5)-2 e^5 \log ^2(5)}{e^5 x^3} \, dx\)
  3.85.9 \(\int \frac {-36 x^2-12 x^3-18 x^2 \log (5)+e^{80} x^{40} (492+240 x+246 \log (5))}{4+4 x+x^2+(4+2 x) \log (5)+\log ^2(5)} \, dx\)
  3.85.10 \(\int \frac {1}{16} e^{\frac {1}{4} (4 x-65 e^x x)} (12+12 x+e^x (-195 x-195 x^2)) \, dx\)
  3.85.11 \(\int \frac {1+(5-x) \log (5-x)+e^3 (-100+20 x) \log ^2(5-x)}{(5-x) \log (5-x)+e^3 (-100+20 x) \log ^2(5-x)} \, dx\)
  3.85.12 \(\int \frac {338 x^3-1066 x^4+1170 x^5-472 x^6+28 x^7+(-338 x+1170 x^2-1394 x^3+652 x^4-96 x^5+4 x^6) \log (2)}{-x^6+3 x^7-3 x^8+x^9+(-3 x^4+9 x^5-9 x^6+3 x^7) \log (2)+(-3 x^2+9 x^3-9 x^4+3 x^5) \log ^2(2)+(-1+3 x-3 x^2+x^3) \log ^3(2)} \, dx\)
  3.85.13 \(\int \frac {e^{-2 x+\frac {48 e^{-2 x}}{-15 x^{16}+x^{17}}} (11520+624 x-96 x^2)}{225 x^{17}-30 x^{18}+x^{19}} \, dx\)
  3.85.14 \(\int \frac {3072+2432 x+268 x^2+8 x^3+e^{e^{x/4}} (-64+e^{x/4} (-16 x-x^2))}{1024+128 x+4 x^2} \, dx\)
  3.85.15 \(\int \frac {-2 x^4+3 x^5+4 x^6+(5 x^4+12 x^5) \log (x)+12 x^4 \log ^2(x)+4 x^3 \log ^3(x)}{x^3+3 x^2 \log (x)+3 x \log ^2(x)+\log ^3(x)} \, dx\)
  3.85.16 \(\int \frac {-12 e^4+e^{\frac {2 (15 \log (x)+3 \log ^2(x))}{e^4}} (90-3 e^4+120 x+(36+48 x) \log (x))}{e^4 x^2} \, dx\)
  3.85.17 \(\int \frac {-135-180 x-9 x^2-12 x^3-4 x^4+e^x (9 x^2+21 x^3+16 x^4+4 x^5)}{9 x^2+12 x^3+4 x^4} \, dx\)
  3.85.18 \(\int \frac {e^{-\frac {3600-2280 x+361 x^2}{400 \log ^2(x)}} (3600-2280 x+361 x^2+(1140 x-361 x^2) \log (x)+200 \log ^2(x)+200 \log ^3(x))}{100 \log ^2(x)} \, dx\)
  3.85.19 \(\int \frac {e^{x^2} x+5 x^2+e^{\frac {1-x^4}{x^2}} x^2+(5 x^2+2 e^{x^2} x^3+e^{\frac {1-x^4}{x^2}} (-2+x^2-2 x^4)) \log (x)}{x^2} \, dx\)
  3.85.20 \(\int (2 x+5^{e^{4+e^{1-8 x+16 x^2+(-2+8 x) \log (100)+\log ^2(100)}}} e^{5+e^{1-8 x+16 x^2+(-2+8 x) \log (100)+\log ^2(100)}-8 x+16 x^2+(-2+8 x) \log (100)+\log ^2(100)} ((8-32 x) \log (5)-8 \log (5) \log (100))) \, dx\)
  3.85.21 \(\int \frac {25 x+15 x^2+e^{5/x} (-500+175 x-30 x^2)+e^x (x-4 x^2)}{9765625 x+e^{5 x} x-9765625 x^2+3906250 x^3-781250 x^4+78125 x^5-3125 x^6+e^{20/x} (48828125 x-87890625 x^2+62500000 x^3-21875000 x^4+3750000 x^5-250000 x^6)+e^{10/x} (97656250 x-136718750 x^2+74218750 x^3-19531250 x^4+2500000 x^5-125000 x^6)+e^{5/x} (-48828125 x+58593750 x^2-27343750 x^3+6250000 x^4-703125 x^5+31250 x^6)+e^{25/x} (-9765625 x+19531250 x^2-15625000 x^3+6250000 x^4-1250000 x^5+100000 x^6)+e^{15/x} (-97656250 x+156250000 x^2-97656250 x^3+29687500 x^4-4375000 x^5+250000 x^6)+e^{4 x} (125 x-25 x^2+e^{5/x} (-125 x+50 x^2))+e^{3 x} (6250 x-2500 x^2+250 x^3+e^{5/x} (-12500 x+7500 x^2-1000 x^3)+e^{10/x} (6250 x-5000 x^2+1000 x^3))+e^{2 x} (156250 x-93750 x^2+18750 x^3-1250 x^4+e^{10/x} (468750 x-468750 x^2+150000 x^3-15000 x^4)+e^{5/x} (-468750 x+375000 x^2-93750 x^3+7500 x^4)+e^{15/x} (-156250 x+187500 x^2-75000 x^3+10000 x^4))+e^x (1953125 x-1562500 x^2+468750 x^3-62500 x^4+3125 x^5+e^{15/x} (-7812500 x+10937500 x^2-5625000 x^3+1250000 x^4-100000 x^5)+e^{5/x} (-7812500 x+7812500 x^2-2812500 x^3+437500 x^4-25000 x^5)+e^{20/x} (1953125 x-3125000 x^2+1875000 x^3-500000 x^4+50000 x^5)+e^{10/x} (11718750 x-14062500 x^2+6093750 x^3-1125000 x^4+75000 x^5))} \, dx\)
  3.85.22 \(\int \frac {e^{2 e^4} (512 x-1024 x^2+768 x^3-256 x^4+32 x^5+e^8 (-4+x^2))}{e^{16} x^2+4096 x^4-8192 x^5+6144 x^6-2048 x^7+256 x^8+e^8 (-128 x^3+128 x^4-32 x^5)} \, dx\)
  3.85.23 \(\int \frac {e^5 (4-2 x)+5 x^2+e^{x^2} (-10 x^3+e^5 (1+2 x^2))-e^5 (i \pi +\log (25))}{16 x^2+e^{2 x^2} x^2-8 x^3+x^4+(-8 x^2+2 x^3) (i \pi +\log (25))+x^2 (i \pi +\log (25))^2+e^{x^2} (8 x^2-2 x^3-2 x^2 (i \pi +\log (25)))} \, dx\)
  3.85.24 \(\int \frac {1+10 x-380 x^2+93 x^3-2944 x^4-1280 x^5}{x} \, dx\)
  3.85.25 \(\int \frac {4 e^2+e (-16-16 x)+28 x+16 x^2+(4 e^2-8 e x) \log (x)}{18 x+e^2 x+14 x^2+4 x^3+e (-8 x-4 x^2)+(2 e^2 x+e (-8 x-4 x^2)) \log (x)+e^2 x \log ^2(x)} \, dx\)
  3.85.26 \(\int (24 x-12 e^4 x+(4 x-2 e^4 x) \log (25)+e^e (-12+6 e^4+(-2+e^4) \log (25))) \, dx\)
  3.85.27 \(\int \frac {(2 e^{e^x+x} x^4+12 x^5+(-12 x^5+6 x^6+e^{e^x} (-4 x^3+2 x^4)) \log (\frac {1}{3} (e^{e^x}+3 x^2)) \log (\log (\frac {1}{3} (e^{e^x}+3 x^2)))) \log (\frac {e^{-x} (x^2-5 e^x \log (\log (\frac {1}{3} (e^{e^x}+3 x^2))))}{\log (\log (\frac {1}{3} (e^{e^x}+3 x^2)))})+((-2 e^{e^x} x^3-6 x^5) \log (\frac {1}{3} (e^{e^x}+3 x^2)) \log (\log (\frac {1}{3} (e^{e^x}+3 x^2)))+(10 e^{e^x+x} x+30 e^x x^3) \log (\frac {1}{3} (e^{e^x}+3 x^2)) \log ^2(\log (\frac {1}{3} (e^{e^x}+3 x^2)))) \log ^2(\frac {e^{-x} (x^2-5 e^x \log (\log (\frac {1}{3} (e^{e^x}+3 x^2))))}{\log (\log (\frac {1}{3} (e^{e^x}+3 x^2)))})}{(-e^{e^x} x^2-3 x^4) \log (\frac {1}{3} (e^{e^x}+3 x^2)) \log (\log (\frac {1}{3} (e^{e^x}+3 x^2)))+(5 e^{e^x+x}+15 e^x x^2) \log (\frac {1}{3} (e^{e^x}+3 x^2)) \log ^2(\log (\frac {1}{3} (e^{e^x}+3 x^2)))} \, dx\)
  3.85.28 \(\int \frac {e^{\frac {2 e^{4 x^2}-21 x-x^2}{6 x}} (-x^2+e^{4 x^2} (-2+16 x^2))}{6 x^2} \, dx\)
  3.85.29 \(\int \frac {e^{\frac {-27+108 x-12 x^3-16 x^5}{27 x+9 x^3}} (81-81 x+81 x^2-342 x^3-201 x^5-32 x^7)}{81 x^3+54 x^5+9 x^7} \, dx\)
  3.85.30 \(\int \frac {-27+e^{\frac {1}{3} (9-42 x+49 x^2)} (-42 x^2+98 x^3)}{3 x^2} \, dx\)
  3.85.31 \(\int \frac {e^{2 x} (-2+2 e^5)+e^{2 e^5 x} (8 e^{8 x}+2 x+e^{4 x} (2+8 x))}{-e^{2 x}+e^{2 e^5 x} (-4+e^{8 x}+2 e^{4 x} x+x^2)} \, dx\)
  3.85.32 \(\int \frac {6+32 x^2+(-3+581 x+194 x^2+3072 x^3+1024 x^4) \log (3+x)+(2+(192 x+64 x^2) \log (3+x)) \log (\log (3+x))}{(3+x) \log (3+x)} \, dx\)
  3.85.33 \(\int \frac {e^{-3 x} (36+72 x-2 e^{3 x} x^2+(24+36 x) \log (x))}{x^3} \, dx\)
  3.85.34 \(\int \frac {-5-i \pi -\log (4)}{x^2+e^{5+e^5} x^2} \, dx\)
  3.85.35 \(\int \frac {75+90 x+3 x^2+(120 x-24 x^2+(75-30 x+3 x^2) \log (\frac {x}{e})) \log (\frac {-8 x+(-5+x) \log (\frac {x}{e})}{-5+x}) \log (-\log (\frac {-8 x+(-5+x) \log (\frac {x}{e})}{-5+x}))}{(40 x-8 x^2+(25-10 x+x^2) \log (\frac {x}{e})) \log (\frac {-8 x+(-5+x) \log (\frac {x}{e})}{-5+x})} \, dx\)
  3.85.36 \(\int \frac {-4-4 x+2 e x+(-400 x^3-400 x^4+200 e x^4) \log (x^2)+(-400 x^3-500 x^4+250 e x^4) \log ^2(x^2)+(-10000 x^7+5000 e x^7) \log ^3(x^2)+(-10000 x^7+5000 e x^7) \log ^4(x^2)}{-2+e} \, dx\)
  3.85.37 \(\int (7-6 \log (4)) \, dx\)
  3.85.38 \(\int \frac {e^{-2 x \log (\frac {x}{3+x})+x^2 \log (-3+x) \log (\frac {x}{3+x})} (-9+18 x-5 x^2+(18 x+x^3+x^4) \log (\frac {x}{3+x})+\log (-3+x) (-9 x^2+3 x^3+(-18 x^2+2 x^4) \log (\frac {x}{3+x})))}{-9+x^2} \, dx\)
  3.85.39 \(\int \frac {-8-11 x^2-32 x^3-3 x^4+e^{2 x} (8-16 x-33 x^2-2 x^3)+(32 x^2+4 x^3) \log (2)+(8-x^2) \log ^2(2)+e^x (48 x^2+36 x^3+2 x^4+(16-16 x-34 x^2-2 x^3) \log (2))}{4 x^2} \, dx\)
  3.85.40 \(\int \frac {-3 x+3 x^3+(-x+x^2) \log (3)+e^x (1+x-3 x^2+x^3) \log (3)+(3 x-e^x x \log (3)+(x-2 x^2) \log (3)) \log (x)}{-3 x^3+3 x^4+e^x (x^2-x^3) \log (3)+(-3 x^2+e^x x \log (3)+(x^2-x^3) \log (3)) \log (x)+x \log (3) \log ^2(x)} \, dx\)
  3.85.41 \(\int \frac {15-45 x+45 x^2-15 x^3+(600 x+210 x^2-162 x^3-6 x^4+6 x^5+e^{2 x} (96 x-216 x^2+48 x^3+192 x^4-144 x^5+24 x^6)) \log ^2(-4+x)}{(4-13 x+15 x^2-7 x^3+x^4) \log ^2(-4+x)} \, dx\)
  3.85.42 \(\int \frac {1}{9} e^{2-2 x} (6 \log ^2(4)-2 \log ^2(4) \log (5)) \, dx\)
  3.85.43 \(\int \frac {e^{e^x+\frac {1024 e^{-3125-5000 x-3000 x^2-800 x^3-80 x^4}}{x^5}} (e^x x+\frac {1024 e^{-3125-5000 x-3000 x^2-800 x^3-80 x^4} (-5-5000 x-6000 x^2-2400 x^3-320 x^4)}{x^5})}{x} \, dx\)
  3.85.44 \(\int \frac {-8+36 e^5 x^5 \log (5)}{-4-4 x+3 e^5 x^6 \log (5)} \, dx\)
  3.85.45 \(\int \frac {-2-15 x-e^x x-4 x^2-2 \log (x)}{x} \, dx\)
  3.85.46 \(\int \frac {2+90 x^3}{x+18 x^4} \, dx\)
  3.85.47 \(\int \frac {16+32 e^{2 x}+e^x (-72-8 x)+2 x}{81 \log ^2(3)} \, dx\)
  3.85.48 \(\int \frac {e^{-x} (-1536-288 x+e^x (-507-234 x-27 x^2))}{169+78 x+9 x^2} \, dx\)
  3.85.49 \(\int \frac {1+(-30 x^2-34 x^3-17 x^4-25 x^5+6 x^6) \log (-25+5 x+(-5+x) \log (2))}{(-5+x) \log (-25+5 x+(-5+x) \log (2))} \, dx\)
  3.85.50 \(\int \frac {4 e^x+(e^x (-4 x+x^2)+4 e^x x^2 (i \pi +\log (\log (4)))+e^x x^2 \log ^2(\log (4)) (i \pi +\log (\log (4)))) \log (\frac {-4+x+4 x (i \pi +\log (\log (4)))+x \log ^2(\log (4)) (i \pi +\log (\log (4)))}{x (i \pi +\log (\log (4)))})}{-4 x+x^2+4 x^2 (i \pi +\log (\log (4)))+x^2 \log ^2(\log (4)) (i \pi +\log (\log (4)))} \, dx\)
  3.85.51 \(\int \frac {e^4 (-15 x-6 x^2)+e^4 (6+3 x) \log (e^{2 x} (2+x))}{2 x^2+x^3} \, dx\)
  3.85.52 \(\int \frac {(-1024 x^4-1536 x^5) \log (x)+e^4 (-1024 x^3-1536 x^4) \log ^2(x)+e^8 (-384 x^2-576 x^3) \log ^3(x)+e^{12} (-64 x-96 x^2) \log ^4(x)+e^{16} (-4-6 x) \log ^5(x)+(-2048 x^4-3072 x^5+(-768 x^5+e^4 (-1536 x^3-2304 x^4)) \log (x)+(e^8 (-384 x^2-576 x^3)+e^4 (-512 x^3-1536 x^4)) \log ^2(x)+(e^{12} (-32 x-48 x^2)+e^8 (-384 x^2-864 x^3)) \log ^3(x)+e^{12} (-96 x-192 x^2) \log ^4(x)+e^{16} (-8-15 x) \log ^5(x)) \log (x^2)}{(8 x^5+24 x^6+18 x^7) \log ^5(x) \log ^2(x^2)} \, dx\)
  3.85.53 \(\int \frac {1}{2} (e^x (10+2 \log ^2(2))-5 x^7 \log ^7(x)-5 x^7 \log ^8(x)) \, dx\)
  3.85.54 \(\int \frac {16 x-16 e x}{-1+e^3+12 x-48 x^2+64 x^3+e^2 (-3+12 x)+e (3-24 x+48 x^2)} \, dx\)
  3.85.55 \(\int \frac {-1-x+(-x^2+x^3) \log (4)+e^{1+x} (-2+2 x+(-2 x^2+2 x^3) \log (4))+e^{2+2 x} (-1+2 x+(-x^2+2 x^3) \log (4))}{x^2+x^4 \log (4)} \, dx\)
  3.85.56 \(\int \frac {-4 x^2+\log ^2(2)}{4 x^2} \, dx\)
  3.85.57 \(\int \frac {e^3 (-2-2 x)-2 \log (\frac {e^2}{2})}{e^3} \, dx\)
  3.85.58 \(\int \frac {e^{5 x} (1+x+x^2)+e^{5 x} (6 x+7 x^2+5 x^3) \log (\frac {1}{x})}{x \log (5) \log ^2(\frac {1}{x})} \, dx\)
  3.85.59 \(\int \frac {e^{-x} (-8 x+2 x^2+4 x^3-x^4-x^5+(4-4 x-4 x^2+4 x^3+x^4-x^5) \log ^2(5))}{4-4 x^2+x^4} \, dx\)
  3.85.60 \(\int \frac {e^{x/4} (4-8 x)+e^{x/4} (-7 x-2 x^2) \log (\frac {1}{5} x \log (5))}{20 x} \, dx\)
  3.85.61 \(\int \frac {e^x (25-25 x)}{16 x^2} \, dx\)
  3.85.62 \(\int \frac {256+16 x^4+32 x^5+x^9+x^{10}+(256+80 x^4+32 x^5+x^{10}) \log (x)}{(256 x+16 x^5+32 x^6+x^{10}+x^{11}) \log (x)} \, dx\)
  3.85.63 \(\int (4620 x^2+2160 x^3+240 x^4+(816 x^2+192 x^3) \log (x)+36 x^2 \log ^2(x)) \, dx\)
  3.85.64 \(\int \frac {8 e^{e^{e^{25}}} x^3}{\log (2)} \, dx\)
  3.85.65 \(\int \frac {100-20 x+e^x (-10+2 x)+(100+e^x (-10+10 x-2 x^2)) \log (25 x)}{x^2 \log ^2(25 x)} \, dx\)
  3.85.66 \(\int \frac {-121-50 x-22 x^2-x^4}{121+22 x^2+x^4} \, dx\)
  3.85.67 \(\int \frac {-3 x^2+e^4 x^2+e^x (-3+x+x^2)}{9 x^2+6 x^3+x^4} \, dx\)
  3.85.68 \(\int \frac {-20 x^2+(40-10 x^2) \log (-4+x^2)+(8 x-2 x^3) \log (-4+x^2) \log ^2(x \log (-4+x^2))}{(-4 x+x^3) \log (-4+x^2) \log ^2(x \log (-4+x^2))} \, dx\)
  3.85.69 \(\int \frac {(-12 x-24 x^2-12 x^3) \log (5)+(9 x^2+36 x^3+27 x^4) \log (x)+((8+16 x+8 x^2) \log ^2(5)+(-24 x^2-24 x^3) \log (5) \log (x)) \log (\log (x))+(-4+4 x^2) \log ^2(5) \log (x) \log ^2(\log (x))}{9 e^5 x^2 \log (x)} \, dx\)
  3.85.70 \(\int (-108+12 e^{16}) \, dx\)
  3.85.71 \(\int \frac {-10+6 e^4 \log (5)}{3 e^4 \log (5)} \, dx\)
  3.85.72 \(\int \frac {e^{16 e^{\frac {2 (-5 x+\log (x))}{x}}+\frac {2 (-5 x+\log (x))}{x}} (32-32 \log (x))}{x^2} \, dx\)
  3.85.73 \(\int \frac {-400-800 e^2-400 e^4}{(-16 x+x^2) \log ^2(\frac {16-x}{4 x})} \, dx\)
  3.85.74 \(\int \frac {-16+16 x+53 x^2-10 x^3-x^4}{1+10 x+27 x^2+10 x^3+x^4} \, dx\)
  3.85.75 \(\int \frac {e^{e^{-\frac {2 x}{1+e^8}} (12-x)-\frac {2 x}{1+e^8}} (-25-e^8+2 x)}{1+e^8} \, dx\)
  3.85.76 \(\int \frac {e^{-10-2 x} (9216-4608 x+(4608+6912 x-4608 x^2+e^{5+x} (576 x-288 x^2)+e^{5+x} (192-96 x) \log (2-x)) \log (x)+(e^{5+x} (96 x+576 x^2-288 x^3)+e^{5+x} (192+96 x-96 x^2) \log (2-x)) \log ^2(x)+(e^{10+2 x} (-12 x^2+9 x^3)+2 e^{10+2 x} x \log (2-x)+e^{10+2 x} (2-x) \log ^2(2-x)) \log ^3(x))}{(-2 x^2+x^3) \log ^3(x)} \, dx\)
  3.85.77 \(\int \frac {-400+16 x^2+e^{25} (100-4 x^2)}{243 (15625+17500 x+6150 x^2+700 x^3+25 x^4)} \, dx\)
  3.85.78 \(\int \frac {-4+3 x+e^{e^x+x} x}{-3 x+e^{e^x} x+3 x^2-x \log (x^4)} \, dx\)
  3.85.79 \(\int 9 e^{-4+e^{9 x}+9 x} \, dx\)
  3.85.80 \(\int \frac {e^{1+2 x} (-225-425 x-10 x^2+450 x^3+287 x^4-41 x^5-99 x^6-35 x^7-4 x^8)+e (1500-2700 x^2-900 x^3+1620 x^4+1080 x^5-144 x^6-324 x^7-108 x^8-12 x^9)}{-16000 x^4+28800 x^6+9600 x^7-17280 x^8-11520 x^9+1536 x^{10}+3456 x^{11}+1152 x^{12}+128 x^{13}+e^{6 x} (54 x^4+54 x^5+18 x^6+2 x^7)+e^{4 x} (-1080 x^4-720 x^5+528 x^6+648 x^7+216 x^8+24 x^9)+e^{2 x} (7200 x^4+2400 x^5-8640 x^6-5760 x^7+1632 x^8+2592 x^9+864 x^{10}+96 x^{11})} \, dx\)
  3.85.81 \(\int \frac {6250+e^{2 e^{8 x/5}} (-5-16 e^{8 x/5} x)}{3125} \, dx\)
  3.85.82 \(\int \frac {-3 x^4+3 e^{\frac {25+10 e^3 x+e^6 x^2}{x^2}} x^3 \log (x)+e^{\frac {1}{3} (-5+\log (-x+e^{\frac {25+10 e^3 x+e^6 x^2}{x^2}} \log (x)))} (e^{\frac {25+10 e^3 x+e^6 x^2}{x^2}} x^2-x^3+e^{\frac {25+10 e^3 x+e^6 x^2}{x^2}} (-50-10 e^3 x) \log (x))}{-3 x^4+3 e^{\frac {25+10 e^3 x+e^6 x^2}{x^2}} x^3 \log (x)} \, dx\)
  3.85.83 \(\int \frac {1}{5} (-6 e^x+e^{4 x} (-4-3 x^2-4 x^3)+e^{3 x} (-14+3 x-15 x^2-11 x^3+3 x^4)) \, dx\)
  3.85.84 \(\int \frac {-16-27 x-2 x^2+(3 x+x^2) \log (e^{4 x} x^4)+(5 x-2 x^2+(-4 x-x^2) \log (e^{4 x} x^4)+(-5+2 x+(4+x) \log (e^{4 x} x^4)) \log (-5+2 x+(4+x) \log (e^{4 x} x^4))) \log (x-\log (-5+2 x+(4+x) \log (e^{4 x} x^4)))}{(5 x-2 x^2+(-4 x-x^2) \log (e^{4 x} x^4)+(-5+2 x+(4+x) \log (e^{4 x} x^4)) \log (-5+2 x+(4+x) \log (e^{4 x} x^4))) \log ^2(x-\log (-5+2 x+(4+x) \log (e^{4 x} x^4)))} \, dx\)
  3.85.85 \(\int \frac {e^{\frac {-192 x+58 x^2+2 x^3+e^{-6+x^2} (-24 x+8 x^2)}{8+e^{-6+x^2}}} (-1536+928 x+48 x^2+e^{-12+2 x^2} (-24+16 x)+e^{-6+x^2} (-384+244 x+6 x^2+12 x^3-4 x^4))}{64+16 e^{-6+x^2}+e^{-12+2 x^2}} \, dx\)
  3.85.86 \(\int \frac {-52+e^{3 x/4} (-16+3 x)}{64-32 x+4 x^2} \, dx\)
  3.85.87 \(\int \frac {4-10 x+4 x^2+e^x (-1-2 x+7 x^2-4 x^3)+(-8+9 x+e^x (2+5 x-6 x^2-x^3)) \log (x)+(4+e^x (-1-2 x-2 x^2)) \log ^2(x)-e^x x \log ^3(x)}{x^2-x^3+e^x (4 x-8 x^2+4 x^3)+(-4 x+7 x^2-4 x^3+e^x (-7 x+6 x^2+x^3)) \log (x)+(8 x-8 x^2+e^x (2 x+2 x^2)) \log ^2(x)+(-4 x+e^x x) \log ^3(x)} \, dx\)
  3.85.88 \(\int (-1-3 e^x) \, dx\)
  3.85.89 \(\int \frac {-2112 x+3504 x^2-1756 x^3+3 x^4}{-64+288 x-432 x^2+216 x^3} \, dx\)
  3.85.90 \(\int \frac {5+2 x+2 x^2+e^x (-x-x^2)}{5 x} \, dx\)
  3.85.91 \(\int \frac {-10+e^4 (-2-x)-9 x-x^2}{5 x+e^4 x+x^2} \, dx\)
  3.85.92 \(\int \frac {-10+2 x^2+e^{-4 x^2+x^3} (-68 x+30 x^2-26 x^3+9 x^4+8 x^5-3 x^6)+e^{-4 x^2+x^3} (40 x-15 x^2-8 x^3+3 x^4) \log (5-x^2)}{-5+x^2} \, dx\)
  3.85.93 \(\int \frac {1+x+e^x (4-x^2+4 \log (3)+\log ^2(3))}{x+e^x (4 x-4 x^2+x^3+(4 x-2 x^2) \log (3)+x \log ^2(3))} \, dx\)
  3.85.94 \(\int \frac {e^{\frac {1}{3} (3 e^{e^x}+7 x-e^{\frac {12+4 x}{x}} x+x^2)} (e^{\frac {12+4 x}{x}} (12-x)+7 x+3 e^{e^x+x} x+2 x^2)}{3 x} \, dx\)
  3.85.95 \(\int \frac {-144 x-80 x^2+4 e^5 x^2-72 \log (2)}{e^5 x^4+2 e^5 x^3 \log (2)+e^5 x^2 \log ^2(2)} \, dx\)
  3.85.96 \(\int \frac {(-10+2 x^2) \log (\frac {5+x^2}{x})+(5+x^2) \log ^2(\frac {5+x^2}{x})}{20+4 x^2} \, dx\)
  3.85.97 \(\int \frac {4 x^2+24 x^4+8 x^5+e^8 (24 x^2+8 x^3)+e^4 (-8+48 x^3+16 x^4)+e^x (-8+4 x^2+e^4 (4+4 x))}{4 x^2+4 x^3+x^4+e^8 (4+4 x+x^2)+e^4 (8 x+8 x^2+2 x^3)} \, dx\)
  3.85.98 \(\int \frac {75 x^3-30 x^4+3 x^5+e^{3/x} (15+2 x+24 x^2-10 x^3+x^4)+(-e^{3/x} x^2-3 x^3) \log (\frac {e^{3/x}+3 x}{x})}{75 x^5-30 x^6+3 x^7+e^{3/x} (25 x^4-10 x^5+x^6)+(-30 x^4+6 x^5+e^{3/x} (-10 x^3+2 x^4)) \log (\frac {e^{3/x}+3 x}{x})+(e^{3/x} x^2+3 x^3) \log ^2(\frac {e^{3/x}+3 x}{x})} \, dx\)
  3.85.99 \(\int \frac {12 x^2+4 x^3-6 x^4-12 x \log (16-48 x+36 x^2)+(-2+3 x) \log ^2(16-48 x+36 x^2)}{-2 x^2+3 x^3} \, dx\)
  3.85.100 \(\int \frac {-2+x-3 x^2}{-2 x-x^2+x^3} \, dx\)