3.31.1 \(\int \frac {-27 x-18 x^2+18 x^3+(-6+12 x^2) \log (3)+x \log ^2(3)+(36 x+(6-6 x) \log (3)) \log (x)-9 x \log ^2(x)}{9 x^3+6 x^2 \log (3)+x \log ^2(3)} \, dx\)
  3.31.2 \(\int \frac {e^e x^2 \log (2)+(1-3 x^2-2 x^3) \log (2)}{-x+3 x^2-3 x^3+e^e x^3-x^4} \, dx\)
  3.31.3 \(\int \frac {-2 x+(-1+2 x-4 x^2) \log (x)+\log (x) \log (5 x)}{x^2 \log (x)} \, dx\)
  3.31.4 \(\int \frac {3072+6 x^5+e^x (1024+3 x^5)}{3 x^5+e^x x^5} \, dx\)
  3.31.5 \(\int \frac {1024-1280 x+640 x^2-160 x^3+20 x^4-x^5+e^{\frac {-1024-768 x+1407 x^2-608 x^3+108 x^4-7 x^5}{256-256 x+96 x^2-16 x^3+x^4}} (7168-8952 x+4482 x^2-1120 x^3+140 x^4-7 x^5)}{-1024+1280 x-640 x^2+160 x^3-20 x^4+x^5} \, dx\)
  3.31.6 \(\int \frac {18750-1875 e^3+2700 x-675 x^2}{40000+625 e^6+10000 x+4225 x^2+450 x^3+81 x^4+e^3 (-10000-1250 x-450 x^2)} \, dx\)
  3.31.7 \(\int \frac {-8 x^3+e^{\frac {25-70 x+49 x^2+2 x^3+(-10 x+14 x^2) \log (2)+x^2 \log ^2(2)}{x^2}} (-400+560 x+16 x^3+80 x \log (2))}{13 x^3+4 e^{\frac {25-70 x+49 x^2+2 x^3+(-10 x+14 x^2) \log (2)+x^2 \log ^2(2)}{x^2}} x^3-4 x^4} \, dx\)
  3.31.8 \(\int \frac {-1+x}{x} \, dx\)
  3.31.9 \(\int \frac {-4+e^x+e (-1+x)}{4-e x+e^x x} \, dx\)
  3.31.10 \(\int \frac {e+e^{e^{143+x}} (-e-e^{144+x} x)}{e} \, dx\)
  3.31.11 \(\int \frac {72 x^2+8 x^3-144 x^4+(-30-10 x+180 x^2) \log (4)+(24 x^2-30 \log (4)) \log (\frac {-4 x^2+5 \log (4)}{\log (4)})}{-4 x^2+5 \log (4)} \, dx\)
  3.31.12 \(\int \frac {-8+10 e^3 x^2+e^{-2+x} (4+e^3 (-10 x+5 x^2))+x^{x^2} (-10+e^{-2+x} (5-5 x)+10 x^2+(-10 e^{-2+x} x+20 x^2) \log (x))}{e^{-4+2 x}-4 e^{-2+x} x+4 x^2} \, dx\)
  3.31.13 \(\int \frac {-1-5 e^{2-x}-\log (x \log (\frac {17}{7}))}{25 e^{4-2 x}-10 e^{2-x} \log (4)+\log ^2(4)+(-10 e^{2-x} x+2 x \log (4)) \log (x \log (\frac {17}{7}))+x^2 \log ^2(x \log (\frac {17}{7}))} \, dx\)
  3.31.14 \(\int \frac {e^{5-e^{\frac {1}{x}}+x-x^2} (e^{\frac {1}{x}}+x^2-2 x^3)}{x^2} \, dx\)
  3.31.15 \(\int \frac {-562500-130000 \log (x)-10200 \log ^2(x)-336 \log ^3(x)-4 \log ^4(x)+(-337500-64500 \log (x)-3540 \log ^2(x)-60 \log ^3(x)) \log (4+\log (x))+(-67500-10200 \log (x)-300 \log ^2(x)) \log ^2(4+\log (x))+(-4500-500 \log (x)) \log ^3(4+\log (x))}{4 x+x \log (x)} \, dx\)
  3.31.16 \(\int \frac {-1+16 x+6 x^2-2 x^3-x^4+e^{2 x} (-7+2 x^2)}{16+e^{4 x}-8 x-31 x^2+18 x^4+8 x^5+x^6+e^{2 x} (8-2 x-8 x^2-2 x^3)} \, dx\)
  3.31.17 \(\int \frac {e^{-21+4 x} (4-22 x+8 x^2)}{-200 x^2+300 x^3-150 x^4+25 x^5} \, dx\)
  3.31.18 \(\int \frac {6-6 x-6 x^2+4 x^3+e^x (4 x-x^2-x^3)}{9 e^3} \, dx\)
  3.31.19 \(\int e^{-2 e^4+e^{-2 e^4} (-3 e^{3+2 e^4}-3 x+3 x^2)} (-3+6 x) \, dx\)
  3.31.20 \(\int -\frac {32 3^{-2/x} \log (3)}{x^2} \, dx\)
  3.31.21 \(\int \frac {e^{-x} (2+2 x+x^2-x^2 \log (x^2)+(2+x-x \log (x^2)) \log (\log (3)))}{x} \, dx\)
  3.31.22 \(\int \frac {-\log (5)+\log (5) \log (4 x)}{x^2} \, dx\)
  3.31.23 \(\int \frac {-5 \log (3)+(x-12 x^6-9 x^9) \log ^2(x)}{-5 x \log (3) \log (x)+(-x^2+2 x^7+x^{10}) \log ^2(x)} \, dx\)
  3.31.24 \(\int \frac {-16 \log (3)+e^{4+e^{\frac {x+(e+x) \log (3)}{\log (3)}}+\frac {x+(e+x) \log (3)}{\log (3)}} (16+16 \log (3))}{\log (3)} \, dx\)
  3.31.25 \(\int \frac {e^{-\frac {-16 x^3-12 x^4+8 x^5-x^6+(16 x+32 x^2-8 x^3) \log (x)-16 \log ^2(x)}{4 x}} (-12 x-32 x^2+40 x^3+36 x^4-32 x^5+5 x^6+(32-32 x^2+16 x^3) \log (x)-16 \log ^2(x))}{20 x} \, dx\)
  3.31.26 \(\int \frac {-16 x-x^2}{e^{11} (-512-128 x-8 x^2)+e^{16} (64+16 x+x^2)+e^6 (1024+256 x+16 x^2)} \, dx\)
  3.31.27 \(\int \frac {-8+12 e+9 x}{-4 x+6 e x+3 x^2} \, dx\)
  3.31.28 \(\int \frac {-e^{3+x} x+e^3 (-1+x+2 x^2)}{x} \, dx\)
  3.31.29 \(\int \frac {-5 x^4+(1+30 x^5) \log (x)-25 x^4 \log (x) \log (\log (x))}{\log (x)} \, dx\)
  3.31.30 \(\int e^{-4 x} (4+e^{4 x} (2+7 e^x)) \, dx\)
  3.31.31 \(\int \frac {40-100 x-100 x^2-54 x^3+10 x^4-2 x^5-5 x^6+e^e (200+80 x+8 x^2-50 x^4-20 x^5-2 x^6)}{-200-80 x+292 x^2+120 x^3-138 x^4-60 x^5+19 x^6+10 x^7+x^8} \, dx\)
  3.31.32 \(\int \frac {-8-2 x+8 x^2}{-4 x-6 x^2-4 x^3+x^2 \log (x)} \, dx\)
  3.31.33 \(\int (3 x^2+36 x^3+120 x^4+96 x^5+e^x (-8 x^3-52 x^4-58 x^5-8 x^6)+e^{2 x} (5 x^4+8 x^5+2 x^6)) \, dx\)
  3.31.34 \(\int \frac {e^{\frac {1+x-3 x^3-6 x^4-3 x^5}{5 e^x x^2-5 x^3}} (3 x+2 x^2+6 x^5+6 x^6+e^x (-2-2 x-x^2-3 x^3-9 x^4-3 x^5+3 x^6))}{5 e^{2 x} x^3-10 e^x x^4+5 x^5} \, dx\)
  3.31.35 \(\int \frac {e^{-x} (1+e^x x-x \log (x)+(4-16 x^2 \log (5)-8 x^4 \log ^2(5)) \log (e^{-4-4 x^2 \log (5)-x^4 \log ^2(5)} x^2)-x \log ^2(e^{-4-4 x^2 \log (5)-x^4 \log ^2(5)} x^2))}{x} \, dx\)
  3.31.36 \(\int \frac {-15 x+(-300+100 x-15 x^2+5 x^3) \log ^2(\frac {3-x}{x})}{(-3 x^2+x^3) \log ^2(\frac {3-x}{x})} \, dx\)
  3.31.37 \(\int \frac {(60-120 e x) \log (5)+(-40+60 e x) \log (5) \log (\frac {2-3 e x}{3 x})}{-2 x^3+3 e x^4} \, dx\)
  3.31.38 \(\int \frac {1}{4} (24+e^{\frac {1}{4} (16+\frac {3}{e^4 x})} (-4+\frac {3}{e^4 x})+8 x+e^x (4+4 x)) \, dx\)
  3.31.39 \(\int \frac {-4+2 x-48 x^2+24 x^3+4 e^{10} x^3-192 x^4+96 x^5-256 x^6+128 x^7+e^5 (6 x^2+32 x^4+32 x^6)}{1+12 x^2+48 x^4+64 x^6} \, dx\)
  3.31.40 \(\int \frac {-75-25 x}{x} \, dx\)
  3.31.41 \(\int \frac {1}{5} e^{-x} x^{-1+\frac {1}{5} e^{-x} (6+24 x+75 e^x x^2)} (6+24 x+75 e^x x^2+(18 x-24 x^2+150 e^x x^2) \log (x)) \, dx\)
  3.31.42 \(\int \frac {e^{.-\frac {3}{2}/x} (e^{.\frac {3}{2}/x} (480 x^3-320 x^4)+e^{e^{.-\frac {3}{2}/x} (-3+e^{.\frac {3}{2}/x} x)} (-81+216 x-144 x^2+e^{.\frac {3}{2}/x} (18 x^2-48 x^3+32 x^4)))}{18 x^2-48 x^3+32 x^4} \, dx\)
  3.31.43 \(\int \frac {-15 x^3+10 x^4-x^5+e^x (-250+100 x-260 x^2+100 x^3-10 x^4)+e^{2 x} (50 x^3-20 x^4+2 x^5)+(-15 x+10 x^2-x^3+e^x (250-100 x+10 x^2)+e^{2 x} (50 x-20 x^2+2 x^3)) \log (x)+(1250-500 x+1300 x^2-500 x^3+50 x^4+e^x (-250 x^3+100 x^4-10 x^5)+(-1250+500 x-50 x^2+e^x (-250 x+100 x^2-10 x^3)) \log (x)) \log (\frac {x^2+\log (x)}{2 x})}{25 x^3-10 x^4+x^5+(25 x-10 x^2+x^3) \log (x)} \, dx\)
  3.31.44 \(\int \frac {-10+40 x-x^2+8 x^3+5898240 x^7-11796480 x^8+15040512 x^9-15777792 x^{10}+11934720 x^{11}-5999616 x^{12}+1975680 x^{13}-422208 x^{14}+56538 x^{15}-4320 x^{16}+144 x^{17}}{-x^3+4 x^4+589824 x^{10}-1179648 x^{11}+1032192 x^{12}-516096 x^{13}+161280 x^{14}-32256 x^{15}+4032 x^{16}-288 x^{17}+9 x^{18}} \, dx\)
  3.31.45 \(\int \frac {15-8 \log (x^2)+\log ^2(x^2)+(-64+128 x-64 x^2+(16-32 x+16 x^2) \log (x^2)) \log ^3(-15+8 \log (x^2)-\log ^2(x^2))+(-30 x+30 x^2+(16 x-16 x^2) \log (x^2)+(-2 x+2 x^2) \log ^2(x^2)) \log ^4(-15+8 \log (x^2)-\log ^2(x^2))}{15 x-8 x \log (x^2)+x \log ^2(x^2)} \, dx\)
  3.31.46 \(\int \frac {-30 e^{2 \log ^2(x)}+e^{\log ^2(x)} (-20+40 \log (x))}{4 x^2+e^{2 \log ^2(x)} (1-6 x+9 x^2)+e^{\log ^2(x)} (-4 x+12 x^2)} \, dx\)
  3.31.47 \(\int \frac {792+e^{3 x} (-4+x)+177 x-150 x^2+e^{2 x} (-36+9 x)+e^x (-408-323 x+50 x^3)}{-81+e^{3 x} (-3+x)+27 x+e^{2 x} (-27+9 x)+e^x (-81+27 x)} \, dx\)
  3.31.48 \(\int \frac {720 x^4-840 x^5+245 x^6+e^8 (12+432 x^2-504 x^3+147 x^4)+e^4 (-1152 x^3+1344 x^4-392 x^5)}{144 x^5-168 x^6+49 x^7+e^8 (12 x-7 x^2+144 x^3-168 x^4+49 x^5)+e^4 (-288 x^4+336 x^5-98 x^6)} \, dx\)
  3.31.49 \(\int \frac {e^{2 x-\frac {4}{x^2 \log (5)}} (8-16 x+8 x^2+(-2 x^4+2 x^5) \log (5)+e^{\frac {4}{x^2 \log (5)}} (2 x^4+2 x^5) \log (5)+e^{\frac {2}{x^2 \log (5)}} (-8 x+8 x^2+(-2 x^3+4 x^5) \log (5)))}{x^3 \log (5)} \, dx\)
  3.31.50 \(\int \frac {e^{\frac {-3 x^2+(15 x+9 x^2) \log (\log (5-\log (x)))}{(5+3 x) \log (\log (5-\log (x)))}} (75 x^2+45 x^3+(750 x^2+225 x^3+(-150 x^2-45 x^3) \log (x)) \log (5-\log (x)) \log (\log (5-\log (x)))+(-625-2625 x-2475 x^2-675 x^3+(125+525 x+495 x^2+135 x^3) \log (x)) \log (5-\log (x)) \log ^2(\log (5-\log (x))))}{(-125-150 x-45 x^2+(25+30 x+9 x^2) \log (x)) \log (5-\log (x)) \log ^2(\log (5-\log (x)))} \, dx\)
  3.31.51 \(\int \frac {-2 e^4+256 e^4 x^3 \log ^2(\log (2))}{x+(2704 x^3+256 x^4) \log ^2(\log (2))} \, dx\)
  3.31.52 \(\int \frac {x^{\frac {1}{64} (-64 x^2-x^3)} (e^{-5+x} (64+64 x-64 x^2-x^3)+e^{-5+x} (-128 x^2-3 x^3) \log (x))}{256 e^5} \, dx\)
  3.31.53 \(\int \frac {15+e^{2 x} (15+5 x^2)+e^x (-30-5 x^2-5 x^3)}{(3 x+x^2 \log (3)+e^x (-6 x+x^3-2 x^2 \log (3))+e^{2 x} (3 x-x^3+x^2 \log (3))) \log ^2(\frac {-3-x \log (3)+e^x (3-x^2+x \log (3))}{-x+e^x x})} \, dx\)
  3.31.54 \(\int \frac {100 x-10 x^2+(10-x) \log (\frac {10-x}{5})+(-199 x+20 x^2+(-10+x) \log (\frac {10-x}{5})) \log (4 x)}{(-100+10 x) \log ^2(4 x)} \, dx\)
  3.31.55 \(\int \frac {e^{-\frac {10}{2+e^x}} (-4 x^2+8 \log (4)+e^{2 x} (-x^2+2 \log (4))+e^x (-4 x^2+10 x^3+(8+20 x-10 x^2) \log (4))+e^{\frac {10}{2+e^x}} (4 x^4+(16 x^2-8 x^3) \log (4)+(16-16 x+4 x^2) \log ^2(4)+e^{2 x} (x^4+(4 x^2-2 x^3) \log (4)+(4-4 x+x^2) \log ^2(4))+e^x (4 x^4+(16 x^2-8 x^3) \log (4)+(16-16 x+4 x^2) \log ^2(4))))}{4 x^4+(16 x^2-8 x^3) \log (4)+(16-16 x+4 x^2) \log ^2(4)+e^{2 x} (x^4+(4 x^2-2 x^3) \log (4)+(4-4 x+x^2) \log ^2(4))+e^x (4 x^4+(16 x^2-8 x^3) \log (4)+(16-16 x+4 x^2) \log ^2(4))} \, dx\)
  3.31.56 \(\int (1373-588 x+84 x^2-4 x^3) \, dx\)
  3.31.57 \(\int \frac {-5+e^{4+x} (16-8 x+x^2)}{e^4 (16-8 x+x^2)} \, dx\)
  3.31.58 \(\int \frac {e^{\frac {-2 e^{e^x}+2 x-2 x^2}{3 x+3 x^2}} (-4 x^2+e^{e^x} (2+4 x+e^x (-2 x-2 x^2)))}{3 x^2+6 x^3+3 x^4} \, dx\)
  3.31.59 \(\int \frac {-9-e x^2-24 x^5+9 x^{10}}{e x^2} \, dx\)
  3.31.60 \(\int \frac {-10 x-6 x^2+28 x^3+38 x^4+18 x^5+4 x^6+e^{2 x} (2 x^4+2 x^5)+e^x (-2 x^2+10 x^3+22 x^4+12 x^5+2 x^6)+(2+10 x-2 x^3-2 e^x x^3) \log (x)-2 \log ^2(x)}{x^3} \, dx\)
  3.31.61 \(\int \frac {196+168 x+400 x^2+268 x^3+329 x^4+152 x^5+120 x^6+32 x^7+16 x^8+(336 x+256 x^2+584 x^3+296 x^4+336 x^5+96 x^6+64 x^7) \log (x)+(256 x^2+144 x^3+312 x^4+96 x^5+96 x^6) \log ^2(x)+(96 x^3+32 x^4+64 x^5) \log ^3(x)+16 x^4 \log ^4(x)+e^{\frac {5}{14+6 x+13 x^2+4 x^3+4 x^4+(12 x+4 x^2+8 x^3) \log (x)+4 x^2 \log ^2(x)}} (-90-150 x-100 x^2-80 x^3+(-60-80 x-120 x^2) \log (x)-40 x \log ^2(x))}{196+168 x+400 x^2+268 x^3+329 x^4+152 x^5+120 x^6+32 x^7+16 x^8+(336 x+256 x^2+584 x^3+296 x^4+336 x^5+96 x^6+64 x^7) \log (x)+(256 x^2+144 x^3+312 x^4+96 x^5+96 x^6) \log ^2(x)+(96 x^3+32 x^4+64 x^5) \log ^3(x)+16 x^4 \log ^4(x)} \, dx\)
  3.31.62 \(\int \frac {e^{\frac {2 x+x^2+x \log (x)+(4 x+2 x^2+2 x \log (x)) \log (\frac {1}{4 x+x \log (x)})}{\log (\frac {1}{4 x+x \log (x)})}} (50+25 x+(35+5 x) \log (x)+5 \log ^2(x)+(60+40 x+(35+10 x) \log (x)+5 \log ^2(x)) \log (\frac {1}{4 x+x \log (x)})+(120+80 x+(70+20 x) \log (x)+10 \log ^2(x)) \log ^2(\frac {1}{4 x+x \log (x)}))}{(4+\log (x)) \log ^2(\frac {1}{4 x+x \log (x)})} \, dx\)
  3.31.63 \(\int \frac {-2 x-x^2+(-2-x-2 x^2-2 x^3-x^4) \log (x)+(-2 x-4 x^2-2 x^3) \log ^2(x)+(-2 x-x^2) \log ^3(x)+(2+3 x+x^2) \log (x) \log ((8+8 x+2 x^2) \log (x))}{(2 x^3+x^4) \log (x)+(4 x^2+2 x^3) \log ^2(x)+(2 x+x^2) \log ^3(x)} \, dx\)
  3.31.64 \(\int \frac {e^{\frac {1}{\log ^2(4-40 x+36 x^2+320 x^3+256 x^4)}} (-20-44 x+64 x^2+(-1+5 x+8 x^2) \log ^3(4-40 x+36 x^2+320 x^3+256 x^4))}{(-1+7 x-3 x^2-11 x^3+8 x^4) \log ^3(4-40 x+36 x^2+320 x^3+256 x^4)} \, dx\)
  3.31.65 \(\int \frac {1}{5} (-55-4 x+16 x^2-2 x^3+(48+32 x-2 x^2-8 x^3+2 x^4) \log (x)+(64-48 x^2+5 x^4) \log ^2(x)) \, dx\)
  3.31.66 \(\int \frac {e^{\frac {30-12 x+2 x^2}{x}} (-30+2 x^2)}{x^2} \, dx\)
  3.31.67 \(\int \frac {-40-5 x^2+(80+20 x^2) \log (x)+e^{e^x} (-10 x+(30 x+10 e^x x^2) \log (x))}{2 e^{e^x} x^2 \log (x)+(8 x+x^3) \log (x)} \, dx\)
  3.31.68 \(\int \frac {6+e^{3+x} (-1+x)+(6 x-e^{3+x} x-x^2) \log (\frac {3 x}{-6+e^{3+x}+x}) \log (\log (\frac {3 x}{-6+e^{3+x}+x}))}{(-6 x^2+e^{3+x} x^2+x^3) \log (\frac {3 x}{-6+e^{3+x}+x}) \log (\log (\frac {3 x}{-6+e^{3+x}+x}))+(-6 x+e^{3+x} x+x^2) \log (\frac {3 x}{-6+e^{3+x}+x}) \log (\log (\frac {3 x}{-6+e^{3+x}+x})) \log (\log (\log (\frac {3 x}{-6+e^{3+x}+x})))} \, dx\)
  3.31.69 \(\int \frac {250-75 x^4-100 \log (x)}{-6 x-x^5+4 x \log (x)} \, dx\)
  3.31.70 \(\int \frac {-5+x \log (x)+(6 x-2 x^2+(-5 x-4 x^2) \log (x)) \log (2 x)+(x+x \log (x)) \log (2 x) \log (\log (2 x))}{(25 x+11 x^2+(-5 x^2-2 x^3) \log (x)) \log (2 x)+(-5 x+x^2 \log (x)) \log (2 x) \log (\log (2 x))} \, dx\)
  3.31.71 \(\int \frac {e^5 (-12+3 x)+(12-3 x) \log (4)+(4 e^{10}-163 e^5 x+1660 x^2+(-8 e^5+163 x) \log (4)+4 \log ^2(4)) \log (\frac {4 e^5-83 x-4 \log (4)}{-5 e^5+100 x+5 \log (4)})}{26560 x^2-13280 x^3+1660 x^4+e^{10} (64-32 x+4 x^2)+e^5 (-2608 x+1304 x^2-163 x^3)+(2608 x-1304 x^2+163 x^3+e^5 (-128+64 x-8 x^2)) \log (4)+(64-32 x+4 x^2) \log ^2(4)} \, dx\)
  3.31.72 \(\int \frac {-6+x^2+(-3-x^2 \log (x)) \log (\frac {-3-x^2 \log (x)}{3 x^2})}{(3 x+x^3 \log (x)) \log (\frac {-3-x^2 \log (x)}{3 x^2})} \, dx\)
  3.31.73 \(\int \frac {64 e^{-36+16 x-2 x^2} (-\frac {1}{64} e^{36-16 x+2 x^2} x^3 \log ^3(x)+e^{\frac {64 e^{-36+16 x-2 x^2} (16-4 e^{18-8 x+x^2} x+\frac {1}{4} e^{36-16 x+2 x^2} x^2)}{x^2 \log ^2(x)}} (-32-\frac {1}{2} e^{36-16 x+2 x^2} x^2+(-32+256 x-64 x^2) \log (x)+\frac {1}{8} e^{18-8 x+x^2} x (64+(32-256 x+64 x^2) \log (x))))}{x^3 \log ^3(x)} \, dx\)
  3.31.74 \(\int \frac {e (1125+7425 x)+e^x (27 x^2+297 x^3+1089 x^4+1331 x^5)+(225 e+e^x (27 x^2+198 x^3+363 x^4)) \log (x)+e^x (9 x^2+33 x^3) \log ^2(x)+e^x x^2 \log ^3(x)}{27 x^2+297 x^3+1089 x^4+1331 x^5+(27 x^2+198 x^3+363 x^4) \log (x)+(9 x^2+33 x^3) \log ^2(x)+x^2 \log ^3(x)} \, dx\)
  3.31.75 \(\int \frac {e^{\frac {-1+2 x}{2 x}} (-5+10 x)-10 x \log (3)}{2 e^{\frac {-1+2 x}{x}} x-4 e^{\frac {-1+2 x}{2 x}} x \log (3)+2 x \log ^2(3)} \, dx\)
  3.31.76 \(\int \frac {2 x \log (3)+6 e^x x \log (3)+(-6 e^x \log (3)-2 x \log (3)) \log (3 e^x+x)+(3 e^x \log (3)+x \log (3)) \log (3 e^x+x) \log (-\frac {x}{\log (3 e^x+x)})}{(3 e^x+x) \log (3 e^x+x) \log ^3(-\frac {x}{\log (3 e^x+x)})} \, dx\)
  3.31.77 \(\int \frac {-8472-51030000 e^{5 x}-18370800 e^{6 x}-3674160 e^{7 x}-314928 e^{8 x}+e^{2 x} (-49890600-32400 x)+e^{3 x} (-86631120-19440 x)+e^x (-12726000-18000 x)+e^{4 x} (-85365900-3888 x)-12 x}{2235957977344+1004423490000 e^{13 x}+129140163000 e^{14 x}+10331213040 e^{15 x}+387420489 e^{16 x}+12668283264 x+26915568 x^2+25416 x^3+9 x^4+e^{12 x} (5442176919456+19131876 x)+e^{11 x} (21793502589120+382637520 x)+e^{10 x} (66780663483600+3507510600 x)+e^{9 x} (159903511020000+19486170000 x)+e^{8 x} (302780869911648+73130533128 x+354294 x^2)+e^{7 x} (455606824688640+195626975040 x+4723920 x^2)+e^{6 x} (543962229350400+383361854400 x+27556200 x^2)+e^{5 x} (510892671168000+556162848000 x+91854000 x^2)+e^{4 x} (370848773784384+594894062016 x+192071088 x^2+2916 x^3)+e^{3 x} (201627923362560+459373213440 x+259873920 x^2+19440 x^3)+e^{2 x} (77662210406400+244230033600 x+224434800 x^2+48600 x^3)+e^x (19002424896000+80746704000 x+114372000 x^2+54000 x^3)} \, dx\)
  3.31.78 \(\int \frac {e^{1+x} (26 x-8 x^3)+e^{1+x} (-10+8 x^2) \log (-5+4 x^2)}{-5+4 x^2} \, dx\)
  3.31.79 \(\int \frac {-8+4 x-26 x^2+28 x^3-6 x^4+(4-4 x-3 x^2+4 x^3-x^4) \log (\frac {e^{\frac {x}{-2+x}} (1-2 x^2+x^4)}{x})}{(-4 x^2+4 x^3+3 x^4-4 x^5+x^6) \log ^3(\frac {e^{\frac {x}{-2+x}} (1-2 x^2+x^4)}{x})} \, dx\)
  3.31.80 \(\int \frac {e^{\log ^2(\frac {1}{4} e^{-x} (4 e^{2 x}+4 x+e^x (19+4 x)))} (8+8 e^x+8 e^{2 x}-8 x) \log (\frac {1}{4} e^{-x} (4 e^{2 x}+4 x+e^x (19+4 x)))}{4 e^{2 x}+4 x+e^x (19+4 x)} \, dx\)
  3.31.81 \(\int (e^{\frac {4 \log ^2(4)}{5}} x+2 e^{\frac {4 \log ^2(4)}{5}} x \log (\frac {x}{e^4})) \, dx\)
  3.31.82 \(\int \frac {-x^2-4 x^3-4 x^4+e^2 (-1-4 x-4 x^2)+e^{\frac {2-x}{-x-2 x^2+e (1+2 x)}} (-4+10 e-16 x+4 x^2)+e^{\frac {2 (2-x)}{-x-2 x^2+e (1+2 x)}} (-4+10 e-16 x+4 x^2)+e (2 x+8 x^2+8 x^3)}{x^2+4 x^3+4 x^4+e^2 (1+4 x+4 x^2)+e (-2 x-8 x^2-8 x^3)} \, dx\)
  3.31.83 \(\int \frac {(80-20 x) \log (\frac {1}{3} e^{-16+8 x-x^2} (-1-15 e^{16-8 x+x^2}))}{3+45 e^{16-8 x+x^2}} \, dx\)
  3.31.84 \(\int \frac {e^{-2 x} (e^{2 x} (-1-x)+(54 x+e^{2 x} x-54 x^3) \log (x)+e^{2 x} (1+x) \log (x) \log (\frac {1+x}{\log (x)}))}{(1+x) \log (x)} \, dx\)
  3.31.85 \(\int \frac {40+16 x-56 x^2}{e^3 (25 x^2+10 x^3+x^4)} \, dx\)
  3.31.86 \(\int \frac {e^{\frac {3 x+(12+x) \log (x)}{3 \log (x)}} (3 x-3 x \log (x)+(3-x) \log ^2(x))}{3 x^2 \log ^2(x)} \, dx\)
  3.31.87 \(\int \frac {108 x^3+30 x^4+2 x^5+(-108 x^3-21 x^4-x^5) \log (x)+(27 x^3+3 x^4) \log ^2(x)+((432 x^3+105 x^4+7 x^5) \log (x)+(-432 x^3-87 x^4-4 x^5) \log ^2(x)+(108 x^3+15 x^4) \log ^3(x)) \log (\log (x))}{(36+12 x+x^2) \log (x)+(-36-6 x) \log ^2(x)+9 \log ^3(x)} \, dx\)
  3.31.88 \(\int \frac {-52-16 e^4+240 e^{5 x}}{12 e^{5 x}-13 x-4 e^4 x-\log (5)} \, dx\)
  3.31.89 \(\int \frac {16 x^2-112 x^3-128 x^2 \log (x)+(-64 x^2+32 x^3+(-64 x+32 x^2) \log (x)) \log (x+\log (x))+(-8 x+12 x^2+(-8+12 x) \log (x)) \log ^2(x+\log (x))+(8 x^2-88 x^3-96 x^2 \log (x)+(-48 x^2+24 x^3+(-48 x+24 x^2) \log (x)) \log (x+\log (x))+(-6 x+8 x^2+(-6+8 x) \log (x)) \log ^2(x+\log (x))) \log (\frac {-4 x^2+(-x+x^2) \log (x+\log (x))}{4 x+\log (x+\log (x))})+(-16 x^3-16 x^2 \log (x)+(-8 x^2+4 x^3+(-8 x+4 x^2) \log (x)) \log (x+\log (x))+(-x+x^2+(-1+x) \log (x)) \log ^2(x+\log (x))) \log ^2(\frac {-4 x^2+(-x+x^2) \log (x+\log (x))}{4 x+\log (x+\log (x))})}{-16 x^3-16 x^2 \log (x)+(-8 x^2+4 x^3+(-8 x+4 x^2) \log (x)) \log (x+\log (x))+(-x+x^2+(-1+x) \log (x)) \log ^2(x+\log (x))} \, dx\)
  3.31.90 \(\int \frac {-32805+e^x (-164025 x+164025 x^2)+e^{2 x} (-328050 x^2+656100 x^3-328050 x^4)+e^{3 x} (-328050 x^3+984150 x^4-984150 x^5+328050 x^6)+e^{4 x} (-164025 x^4+656100 x^5-984150 x^6+656100 x^7-164025 x^8-13 x^{12}-4 x^{13})+e^{5 x} (-32805 x^5+164025 x^6-328050 x^7+328050 x^8-164025 x^9+32805 x^{10}-9 x^{13}+5 x^{14})}{-6561+e^x (-32805 x+32805 x^2)+e^{2 x} (-65610 x^2+131220 x^3-65610 x^4)+e^{3 x} (-65610 x^3+196830 x^4-196830 x^5+65610 x^6)+e^{4 x} (-32805 x^4+131220 x^5-196830 x^6+131220 x^7-32805 x^8)+e^{5 x} (-6561 x^5+32805 x^6-65610 x^7+65610 x^8-32805 x^9+6561 x^{10})} \, dx\)
  3.31.91 \(\int \frac {(20503125000 x^7+18452812500 x^{10}+7971615000 x^{11}+1992903750 x^{12}+3985807500 x^{13}+1434890700 x^{14}-693530505 x^{16}-602654094 x^{17}-258280326 x^{18}-172186884 x^{19}) \log (2)}{152587890625+439453125000 x^3+237304687500 x^4+79101562500 x^5+553710937500 x^6+512578125000 x^7+293878125000 x^8+485810156250 x^9+476697656250 x^{10}+330920437500 x^{11}+328796313750 x^{12}+271477777500 x^{13}+180099450000 x^{14}+137973893400 x^{15}+93382686756 x^{16}+53122842360 x^{17}+31210998489 x^{18}+15525517374 x^{19}+6356565801 x^{20}+2592369198 x^{21}+774840978 x^{22}+172186884 x^{23}+43046721 x^{24}} \, dx\)
  3.31.92 \(\int \frac {4 e^{15 e x}-x+(4 e^{30 e x}-30 e^{1+15 e x} x) \log (\frac {4}{x^2})-30 e^{1+30 e x} x \log ^2(\frac {4}{x^2})}{4 x+4 x^2+x^3+e^{15 e x} (8 x+4 x^2) \log (\frac {4}{x^2})+e^{30 e x} (8 x+2 x^2) \log ^2(\frac {4}{x^2})+4 e^{45 e x} x \log ^3(\frac {4}{x^2})+e^{60 e x} x \log ^4(\frac {4}{x^2})} \, dx\)
  3.31.93 \(\int \frac {2 x^7+x^8+e^{\frac {e^4}{x^6}} (-6 e^4-x^7)+x^7 \log (4)}{3 x^8-e^{\frac {e^4}{x^6}} x^8+x^9+x^8 \log (4)+(-3 x^7+e^{\frac {e^4}{x^6}} x^7-x^8-x^7 \log (4)) \log (3-e^{\frac {e^4}{x^6}}+x+\log (4))} \, dx\)
  3.31.94 \(\int \frac {288-96 x-568 x^2+208 x^3+304 x^4-96 x^5-24 x^6+(-72 x+24 x^2+142 x^3-52 x^4-76 x^5+24 x^6+6 x^7) \log (\frac {9-3 x-8 x^2+3 x^3}{-3+3 x^2})}{-9 x^3+3 x^4+17 x^5-6 x^6-8 x^7+3 x^8} \, dx\)
  3.31.95 \(\int \frac {-7680000+e^{4 x} (-3+2 x)+e^{3 x} (-480+240 x)+e^{2 x} (-28800+9600 x)+e^x (-768000+128000 x)}{5000 x^7} \, dx\)
  3.31.96 \(\int \frac {e^{\frac {3-e^x-5 x+x^2}{x}} (6-5 x-x^2-x^3+e^x (-2+x+x^2)+(-12+e^x (4-4 x)+4 x^2) \log (x^2))}{4 x^2+4 x^3+x^4+(-16 x^2-8 x^3) \log (x^2)+16 x^2 \log ^2(x^2)} \, dx\)
  3.31.97 \(\int (-2 e^{-3+2 x}+e^{-22+x-x^2} (1-2 x)) \, dx\)
  3.31.98 \(\int \frac {2+x^3+6 x^5+4 x^6}{-x-24 x^3+x^4+2 x^6+x^7} \, dx\)
  3.31.99 \(\int \frac {e^{-\frac {x^2}{e^x+x^2}} (20 x^5-45 x^6+e^{2 x} (20 x-45 x^2)+e^x (20 x^3-50 x^4-15 x^5))}{e^{2 x}+2 e^x x^2+x^4} \, dx\)
  3.31.100 \(\int \frac {e^{3+e^{2 x^2}-2 e^{x^2} \log (\frac {5}{3+e^x})+\log ^2(\frac {5}{3+e^x})} (3 e^x+e^{2 x}+2 e^{2 x+x^2}+e^{2 x^2} (12 e^x x+4 e^{2 x} x)+(-2 e^{2 x}+e^{x^2} (-12 e^x x-4 e^{2 x} x)) \log (\frac {5}{3+e^x}))}{12+4 e^x} \, dx\)