3.83 Integrals 8201 to 8300

  3.83.1 \(\int \frac {3-6 e^{-11 x} \log (5)+e^{-11 x} (-6+66 x) \log (5) \log (x)}{2 \log (5)} \, dx\)
  3.83.2 \(\int \frac {-9 x+3 \log ^2(\frac {1}{x})+(9+9 \log (\frac {1}{x})) \log (\log (4))}{9 x^2+6 x \log (\frac {1}{x})+\log ^2(\frac {1}{x})} \, dx\)
  3.83.3 \(\int \frac {20+x^3+2 x^4}{x^3} \, dx\)
  3.83.4 \(\int \frac {e^{\frac {50 x+25 e^{5+x} x}{25-15 x+16 x^2}} (1250-800 x^2+e^{5+x} (625+625 x-775 x^2+400 x^3))}{625-750 x+1025 x^2-480 x^3+256 x^4} \, dx\)
  3.83.5 \(\int \frac {e^{4+x} (-150-50 x^2)+e^4 (300+100 x^2)+(-200 e^4 x^2+e^{4+x} (150 x+100 x^2+50 x^3)) \log (x)}{36 x+24 x^3+4 x^5+e^x (-36 x-24 x^3-4 x^5)+e^{2 x} (9 x+6 x^3+x^5)} \, dx\)
  3.83.6 \(\int \frac {1}{6} (x+e^{-2 x+x^3} (12-18 x^2)) \, dx\)
  3.83.7 \(\int \frac {5-2 x+(125-40 x+53 x^2-52 x^3+12 x^4) \log (x)+5 \log (x) \log (\log (x))}{(125-100 x+20 x^2) \log (x)} \, dx\)
  3.83.8 \(\int \frac {-2 x^2-2 x^3+x^{2/x} (4+4 x+(-4-4 x) \log (x))+x^{\frac {1}{x}} (-16-16 x+(16+16 x) \log (x))+(13 x^2-x^3-8 x^{2+\frac {1}{x}}+x^{2+\frac {2}{x}}) \log (169-26 x+x^2+(90-2 x) x^{2/x}-16 x^{3/x}+x^{4/x}+x^{\frac {1}{x}} (-208+16 x))}{13 x^2-x^3-8 x^{2+\frac {1}{x}}+x^{2+\frac {2}{x}}} \, dx\)
  3.83.9 \(\int \frac {e^5 (-2-4 x^2-2 x^4)-4 e^5 x^2 \log (x)}{(x+2 x^3+x^5) \log (x)} \, dx\)
  3.83.10 \(\int \frac {e^{\frac {3-x}{2}+2 x} (16 x^3-6 x^4)+e^{\frac {3-x}{2}+x} (-32 x^6+8 x^7)}{e^{3 x}+12 e^{2 x} x^3+48 e^x x^6+64 x^9} \, dx\)
  3.83.11 \(\int \frac {e^4 x^2+e^4 (8 e x+5 e^2 x^2)+e^6 x^2 \log (4)-e^6 x^2 \log (3 e^2)}{e^2 x^2+e^2 (8 e x+10 e^2 x^2)+e^4 (16+40 e x+25 e^2 x^2)+(2 e^4 x^2+e^4 (8 e x+10 e^2 x^2)) \log (4)+e^6 x^2 \log ^2(4)+(-2 e^4 x^2+e^4 (-8 e x-10 e^2 x^2)-2 e^6 x^2 \log (4)) \log (3 e^2)+e^6 x^2 \log ^2(3 e^2)} \, dx\)
  3.83.12 \(\int e^{-225 x^2} (-1+e^{2+x+225 x^2}-1800 x+450 x^2) \, dx\)
  3.83.13 \(\int \frac {8 x-4 \log (9)-8 x \log (x)}{(-8 x^2+4 x \log (9)) \log (x)+e^{4096} x \log ^2(x)} \, dx\)
  3.83.14 \(\int \frac {-6+22 x-24 x^2+36 x^3-18 x \log (x)}{4 x^3-24 x^4+36 x^5+(-12 x^2+36 x^3) \log (x)+9 x \log ^2(x)} \, dx\)
  3.83.15 \(\int \frac {-e^{3+x}+e^{3+x} x \log (e^4 x)+x \log ^2(e^4 x)}{e^3 x \log ^2(e^4 x)} \, dx\)
  3.83.16 \(\int \frac {-4+e^3 (-5+4 x-125 x^4)}{e^3} \, dx\)
  3.83.17 \(\int \frac {128+148 x-96 x^2-96 x^3+24 x^4+24 x^5-2 x^6-2 x^7+(96+96 x-48 x^2-48 x^3+6 x^4+6 x^5) \log (5)+(24+24 x-6 x^2-6 x^3) \log ^2(5)+(2+2 x) \log ^3(5)}{64-48 x^2+12 x^4-x^6+(48-24 x^2+3 x^4) \log (5)+(12-3 x^2) \log ^2(5)+\log ^3(5)} \, dx\)
  3.83.18 \(\int \frac {1-4 \log (x)+\log (x) \log (\log (x))}{\log (x)} \, dx\)
  3.83.19 \(\int \frac {9-12 e^x+e^{x^2 \log ^2(2)} (-3-6 x^2 \log ^2(2)+e^x (3+6 x \log ^2(2)))}{-4 e^x+e^{x^2 \log ^2(2)} (e^x-x)+3 x} \, dx\)
  3.83.20 \(\int \frac {e^{\frac {e^2 (2+x)+e (4+x)}{4+x}} (16+8 x+2 e^2 x+x^2)}{80+40 x+5 x^2} \, dx\)
  3.83.21 \(\int \frac {(-4+4 e^{4-x}) \log ^2(x)+e^{\frac {5 x^2}{4 \log (x)}} (-5 x+10 x \log (x))}{4 e^{\frac {5 x^2}{4 \log (x)}} \log ^2(x)+(-28-4 e^{4-x}-4 x) \log ^2(x)} \, dx\)
  3.83.22 \(\int \frac {-5 x^3+e^{\frac {4+7 x+2 x^2-x^3+e^{2 x} (-4 x^2+x^3)}{x^2}} (-200-175 x-25 x^3+e^{2 x} (-175 x^3+50 x^4))}{25 e^{\frac {2 (4+7 x+2 x^2-x^3+e^{2 x} (-4 x^2+x^3))}{x^2}} x^3-10 e^{\frac {4+7 x+2 x^2-x^3+e^{2 x} (-4 x^2+x^3)}{x^2}} x^4+x^5} \, dx\)
  3.83.23 \(\int e^{2+x} (2 x+x^2) \, dx\)
  3.83.24 \(\int \frac {e^{5/x} (-75+5 e^3)+30 x^3-2 e^3 x^3}{5 x^2} \, dx\)
  3.83.25 \(\int \frac {e^{\frac {-30+e (-25+4 x)}{-6+e (-5+2 x)}} (36 e+30 e^2)}{36+e (60-24 x)+e^2 (25-20 x+4 x^2)} \, dx\)
  3.83.26 \(\int \frac {-3380-260 x-5 x^2-e^{16+\frac {e^{16}}{26+x}} x^2}{676 x^2+52 x^3+x^4} \, dx\)
  3.83.27 \(\int \frac {1}{81} e^{2 e^{9+6 e^{\frac {x^4}{81}} x+e^{\frac {2 x^4}{81}} x^2} x-2 x^2} (81-324 x^2+e^{9+6 e^{\frac {x^4}{81}} x+e^{\frac {2 x^4}{81}} x^2} (162 x+e^{\frac {x^4}{81}} (972 x^2+48 x^6)+e^{\frac {2 x^4}{81}} (324 x^3+16 x^7))) \, dx\)
  3.83.28 \(\int \frac {27-45 x+156 x^2-28 x^3+e^{5-x} (-27 x^2+17 x^3-4 x^4)+(30 x^2-5 x^3+e^{5-x} (-6 x^2+4 x^3-x^4)) \log (x)}{27 x-18 x^2+3 x^3} \, dx\)
  3.83.29 \(\int \frac {-2-5 x^5 \log (\log (5))}{2 x \log ^2(x^2)+4 x^6 \log (x^2) \log (\log (5))+2 x^{11} \log ^2(\log (5))} \, dx\)
  3.83.30 \(\int \frac {-7+(-7-7 e^2+35 e^3) \log (\frac {1}{x})+7 \log (\frac {1}{x}) \log (\frac {\log (\frac {1}{x})}{x})}{\log (\frac {1}{x})} \, dx\)
  3.83.31 \(\int \frac {e^{\frac {-11+e^2-e^4-2 e^{4 x}+2 x-\log (3)}{5+e^{4 x}-x}} (-1+e^2-e^4-\log (3)+e^{4 x} (4-4 e^2+4 e^4+4 \log (3)))}{25+e^{8 x}+e^{4 x} (10-2 x)-10 x+x^2} \, dx\)
  3.83.32 \(\int \frac {18 x+13 x^2+4 x^3-3 x^4+x^5+e^{25} (36 x^2+16 x^3-8 x^4+4 x^5)+(18 x+8 x^2-4 x^3+2 x^4+e^{25} (72 x+32 x^2-16 x^3+8 x^4)) \log (\frac {9+4 x-2 x^2+x^3}{x^2})+e^{25} (36+16 x-8 x^2+4 x^3) \log ^2(\frac {9+4 x-2 x^2+x^3}{x^2})}{e^{25} (9 x^2+4 x^3-2 x^4+x^5)+e^{25} (18 x+8 x^2-4 x^3+2 x^4) \log (\frac {9+4 x-2 x^2+x^3}{x^2})+e^{25} (9+4 x-2 x^2+x^3) \log ^2(\frac {9+4 x-2 x^2+x^3}{x^2})} \, dx\)
  3.83.33 \(\int \frac {-12 x-6 e^x x+3 x^2+(e^x (24-6 x)-6 x) \log (x)+(24-6 x) \log ^2(x)+(12-3 x+e^x (12 x-3 x^2)) \log (e^{\log ^2(x)} (48-24 x+3 x^2))}{-4 x^3+x^4+(e^x (8 x^2-2 x^3)+(8 x^2-2 x^3) \log (x)) \log (e^{\log ^2(x)} (48-24 x+3 x^2))+(e^{2 x} (-4 x+x^2)+e^x (-8 x+2 x^2) \log (x)+(-4 x+x^2) \log ^2(x)) \log ^2(e^{\log ^2(x)} (48-24 x+3 x^2))} \, dx\)
  3.83.34 \(\int \frac {-5+(-10+e^x (-8-4 x)-5 x) \log (4+2 x)}{(10+5 x) \log (4+2 x)} \, dx\)
  3.83.35 \(\int \frac {3+3 e^3+8 x^2+(1+e^3+6 x^2) \log (2)}{x^2+x^2 \log (2)} \, dx\)
  3.83.36 \(\int \frac {15 e^5-30 e^5 \log (\frac {4}{x})-e^{e^x+x} x^3 \log ^2(\frac {4}{x})}{x^3 \log ^2(\frac {4}{x})} \, dx\)
  3.83.37 \(\int \frac {-686 x-1064 x^2-672 x^3+128 x^4+(-686 x+56 x^2-32 x^3+128 x^4) \log (\frac {2401 x^2+2352 x^3+2144 x^4+768 x^5+256 x^6}{2401-5488 x+4704 x^2-1792 x^3+256 x^4})}{-343+28 x-16 x^2+64 x^3} \, dx\)
  3.83.38 \(\int \frac {e^2 (48 x^2-18 x^3-4 x^4)+4 e^2 x^3 \log (x)}{64-64 x-16 x^2+16 x^3+4 x^4+(16 x-8 x^2-4 x^3) \log (x)+x^2 \log ^2(x)} \, dx\)
  3.83.39 \(\int \frac {e^{\frac {e^{2 x}+(-x+x^2) \log (\frac {1}{13} (65+5 x \log (2)))}{\log (\frac {1}{13} (65+5 x \log (2)))}} (-e^{2 x} \log (2)+e^{2 x} (26+2 x \log (2)) \log (\frac {1}{13} (65+5 x \log (2)))+(-13+26 x+(-x+2 x^2) \log (2)) \log ^2(\frac {1}{13} (65+5 x \log (2))))}{(13+x \log (2)) \log ^2(\frac {1}{13} (65+5 x \log (2)))} \, dx\)
  3.83.40 \(\int (1-4 x+e^{e^{\frac {-5+3 x}{x}}} (-5 e^{\frac {-5+3 x}{x}} x-3 x^2)+e^x (2 x+x^2)) \, dx\)
  3.83.41 \(\int \frac {1}{x \log (2 x)} \, dx\)
  3.83.42 \(\int \frac {-30 x+(-5-x) \log (4)+6 x^2 \log (x)}{-5 x+x^2 \log (x)} \, dx\)
  3.83.43 \(\int \frac {e^{-x} (1+e^{2 x} (2-x)+11 x-x^2+x^3)}{1-2 x+x^2} \, dx\)
  3.83.44 \(\int \frac {-9-x}{7+x} \, dx\)
  3.83.45 \(\int \frac {(4+20 x-8 \log (x)) \log (\frac {100 x^2-40 x \log (x)+4 \log ^2(x)}{x^4})+(10 x-2 \log (x)) \log ^2(\frac {100 x^2-40 x \log (x)+4 \log ^2(x)}{x^4})}{-5 x^4+x^3 \log (x)} \, dx\)
  3.83.46 \(\int \frac {(486 x-324 x^2-108 x^3+144 x^4-42 x^5+4 x^6+e^x (-162 x+216 x^2-108 x^3+24 x^4-2 x^5)+(324-108 x-216 x^2+168 x^3-44 x^4+4 x^5) \log (x)) \log (e^x-x-x^2+\log (5)-2 x \log (x)-\log ^2(x))+(-270 x^2+54 x^3+180 x^4-116 x^5+26 x^6-2 x^7+e^x (270 x-324 x^2+144 x^3-28 x^4+2 x^5)+(270 x-324 x^2+144 x^3-28 x^4+2 x^5) \log (5)+(-540 x^2+648 x^3-288 x^4+56 x^5-4 x^6) \log (x)+(-270 x+324 x^2-144 x^3+28 x^4-2 x^5) \log ^2(x)) \log ^2(e^x-x-x^2+\log (5)-2 x \log (x)-\log ^2(x))}{-e^{3 x} x+e^{2 x} (x^2+x^3-x \log (5))+2 e^{2 x} x^2 \log (x)+e^{2 x} x \log ^2(x)} \, dx\)
  3.83.47 \(\int \frac {(1+9 x) \log (x)+(-22-9 x-\log (x)) \log (\frac {1}{2} (22+9 x+\log (x)))}{(22 x+9 x^2) \log ^2(x)+x \log ^3(x)} \, dx\)
  3.83.48 \(\int \frac {4 x+2 x^2+e^{\log (e^x x) \log (2+x)} (-x \log (e^x x)+(-2-3 x-x^2) \log (2+x))}{2 x+x^2} \, dx\)
  3.83.49 \(\int \frac {-4 e^{12+x}+4 e^{10+x} \log ^2(\frac {-1+e^{4+x}}{e^4})+(1-e^{4+x}) \log ^5(\frac {-1+e^{4+x}}{e^4})}{(-1+e^{4+x}) \log ^5(\frac {-1+e^{4+x}}{e^4})} \, dx\)
  3.83.50 \(\int \frac {(-6 x^2-48 \log (2)) \log (3)}{x^2} \, dx\)
  3.83.51 \(\int (1-255 x^4+e^{2 x} (-153 x^2-102 x^3)+e^x (408 x^3+102 x^4)) \, dx\)
  3.83.52 \(\int \frac {e^{8+2 x^2-e^{2 x^2} x^2} (-2 x-4 x^3) \log (x)+\log ^{x^2}(x) (x+2 x \log (x) \log (\log (x)))}{\log (x)} \, dx\)
  3.83.53 \(\int \frac {(16-40 x-4 x^2) \log (16)}{(-5-6 x+4 x^2+x^3) \log (4) \log ^3(\frac {1+2 x-x^2-2 x^3+x^4}{50+20 x+2 x^2})} \, dx\)
  3.83.54 \(\int \frac {-8+8 x-2 x^2+(-16 x+12 x^2-2 x^3-2 x \log (4)) \log (x)+4 x \log (x) \log (\log (x))}{(-16 x+24 x^2-12 x^3+2 x^4+(-4 x+4 x^2-x^3) \log (4)) \log (x)+(8 x-8 x^2+2 x^3) \log (x) \log (\log (x))} \, dx\)
  3.83.55 \(\int \frac {5-2 x-x^2}{5 x+x^2} \, dx\)
  3.83.56 \(\int \frac {37968750000+16 e^{20 x^2}-31104 x+7593750000 x^2+607500000 x^4+24300000 x^6+486000 x^8+3888 x^{10}+e^{16 x^2} (6000+240 x^2)+e^{12 x^2} (900000+72000 x^2+1440 x^4)+e^{8 x^2} (67500000+8100000 x^2+324000 x^4+4320 x^6)+e^{4 x^2} (2531250000-41472 x+405000000 x^2+24300000 x^4+648000 x^6+6480 x^8)}{2373046875+e^{20 x^2}+474609375 x^2+37968750 x^4+1518750 x^6+30375 x^8+243 x^{10}+e^{16 x^2} (375+15 x^2)+e^{12 x^2} (56250+4500 x^2+90 x^4)+e^{8 x^2} (4218750+506250 x^2+20250 x^4+270 x^6)+e^{4 x^2} (158203125+25312500 x^2+1518750 x^4+40500 x^6+405 x^8)} \, dx\)
  3.83.57 \(\int \frac {384+320 e^3+88 e^6+8 e^9-1000 e^{24} x^3+e^8 (-1760 x-920 e^3 x-120 e^6 x)+e^{16} (2400 x^2+600 e^3 x^2)}{-64-144 x-108 x^2-27 x^3+e^3 (-48-120 x-99 x^2-27 x^3)+e^6 (-12-33 x-30 x^2-9 x^3)+e^9 (-1-3 x-3 x^2-x^3)+e^{24} (125 x^3+375 x^4+375 x^5+125 x^6)+e^8 (240 x+600 x^2+495 x^3+135 x^4+e^6 (15 x+45 x^2+45 x^3+15 x^4)+e^3 (120 x+330 x^2+300 x^3+90 x^4))+e^{16} (-300 x^2-825 x^3-750 x^4-225 x^5+e^3 (-75 x^2-225 x^3-225 x^4-75 x^5))} \, dx\)
  3.83.58 \(\int \frac {e^{14+2 x} (-3+6 x)}{2 e^4 x^2+5 x^2 \log (3)} \, dx\)
  3.83.59 \(\int \frac {10800-3258 x^2-e^x x^2+954 x^3-81 x^4}{x^2} \, dx\)
  3.83.60 \(\int \frac {e^{15/x} (60-15 x+x^2)}{x^2} \, dx\)
  3.83.61 \(\int \frac {-25+e^{2 x}-10 x+(5+2 x) \log (3)+(-10 x^2+2 x^2 \log (3)) \log (x)+(-10 x+2 e^{2 x} x+2 x \log (3)) \log (x) \log (\log (x))}{(-5 x+x \log (3)) \log (x)} \, dx\)
  3.83.62 \(\int \frac {e^{6+2 x} (-2+4 x)}{5 e^{12+4 x}-10 e^{6+2 x} x+5 x^2} \, dx\)
  3.83.63 \(\int \frac {e^{\frac {1}{3} (9-x \log (\frac {-5 x^2+\log (5)-x^2 \log (-4+2 x+x^2)}{5 x+x \log (-4+2 x+x^2)}))} (100 x^2-50 x^3-25 x^4+(20-12 x-7 x^2) \log (5)+(40 x^2-20 x^3-10 x^4+(4-2 x-x^2) \log (5)) \log (-4+2 x+x^2)+(4 x^2-2 x^3-x^4) \log ^2(-4+2 x+x^2)+(100 x^2-50 x^3-25 x^4+(-20+10 x+5 x^2) \log (5)+(40 x^2-20 x^3-10 x^4+(-4+2 x+x^2) \log (5)) \log (-4+2 x+x^2)+(4 x^2-2 x^3-x^4) \log ^2(-4+2 x+x^2)) \log (\frac {-5 x^2+\log (5)-x^2 \log (-4+2 x+x^2)}{5 x+x \log (-4+2 x+x^2)}))}{-300 x^2+150 x^3+75 x^4+(60-30 x-15 x^2) \log (5)+(-120 x^2+60 x^3+30 x^4+(12-6 x-3 x^2) \log (5)) \log (-4+2 x+x^2)+(-12 x^2+6 x^3+3 x^4) \log ^2(-4+2 x+x^2)} \, dx\)
  3.83.64 \(\int \frac {1}{9} (-9+60 x^2-414 x^3+(200 x-2820 x^2+9450 x^3) \log (2 x)+(200 x-4500 x^2+22500 x^3) \log ^2(2 x)) \, dx\)
  3.83.65 \(\int \frac {e^{-\frac {-4+e^5 x-2 x^2+x (i \pi +\log (2-\sqrt [4]{e}))}{x}} (-16-4 x+8 x^2)}{x^3} \, dx\)
  3.83.66 \(\int \frac {-e^{10}+2 e^5 \log (20 x^2)-\log ^2(20 x^2)+e^{-\frac {x^2}{-e^5+\log (20 x^2)}} (2 x+2 e^5 x-2 x \log (20 x^2))}{-e^{10} x+2 e^5 x \log (20 x^2)-x \log ^2(20 x^2)+e^{-\frac {x^2}{-e^5+\log (20 x^2)}} (e^{10}-2 e^5 \log (20 x^2)+\log ^2(20 x^2))} \, dx\)
  3.83.67 \(\int e^{25+5 x+5 x^2-\frac {e^x x^2}{2}} (5+10 x+\frac {1}{2} e^x (-2 x-x^2)) \, dx\)
  3.83.68 \(\int \frac {20 e^x-8 e^{2 x}}{25+e^x (30+20 x)+e^{2 x} (9+12 x+4 x^2)} \, dx\)
  3.83.69 \(\int -\frac {9}{(-3 x+e^5 x+x \log (x)) \log ^2(-3+e^5+\log (x))} \, dx\)
  3.83.70 \(\int \frac {1+e^{1+\frac {1}{5} e^{15+2 x^2}-x} (2-x+\frac {1}{5} e^{15+2 x^2} (-8 x+4 x^2))}{-2+x} \, dx\)
  3.83.71 \(\int \frac {8 x^2-16 x^4+e^{16+2 x} (-8 x+8 x^2-16 x^4)+e^{32+4 x} (2 x^2-4 x^4)+(-8+16 x^2+e^{32+4 x} (-2+4 x^2)+e^{16+2 x} (-8+16 x^2)) \log (5 x)}{4 x+4 e^{16+2 x} x+e^{32+4 x} x} \, dx\)
  3.83.72 \(\int -2 e^{2 x} \, dx\)
  3.83.73 \(\int \frac {(-12 x^3+24 x^4+(-12 x^3+24 x^4) \log (3)) \log (4)}{9-48 x+64 x^2} \, dx\)
  3.83.74 \(\int \frac {-30+x+e^x (6+6 x)}{6 e^4} \, dx\)
  3.83.75 \(\int \frac {1+3 x+101250 x^2 \log ^2(2)+x \log (x^3)}{x} \, dx\)
  3.83.76 \(\int e^{-8 x^2-e^3 x^2} (-16 x-2 e^3 x) \, dx\)
  3.83.77 \(\int \frac {e^{e^{\frac {256-128 x-112 x^2+32 x^3+16 x^4+(128-32 x-32 x^2) \log (4)+16 \log ^2(4)}{16-8 x+x^2+(8-2 x) \log (4)+\log ^2(4)}} x^2+\frac {256-128 x-112 x^2+32 x^3+16 x^4+(128-32 x-32 x^2) \log (4)+16 \log ^2(4)}{16-8 x+x^2+(8-2 x) \log (4)+\log ^2(4)}} (128 x-96 x^2-1000 x^3+382 x^4+224 x^5-32 x^6+(96 x-48 x^2-506 x^3+96 x^4+64 x^5) \log (4)+(24 x-6 x^2-64 x^3) \log ^2(4)+2 x \log ^3(4))}{64-48 x+12 x^2-x^3+(48-24 x+3 x^2) \log (4)+(12-3 x) \log ^2(4)+\log ^3(4)} \, dx\)
  3.83.78 \(\int \frac {-3 e^2-5 e^{2+x} x+e^{2+x} (-5 x-5 x^2) \log (x)}{x} \, dx\)
  3.83.79 \(\int \frac {-1-3 x-x^2+e^{4 x} x (-x-3 x^2-3 x^3)}{-x-x^2+e^{4 x} x (x^2+x^3)} \, dx\)
  3.83.80 \(\int \frac {(32 x^3-32 x^4 \log (x)) \log (-4+x-\log (\log (x)))+((256 x^3-64 x^4) \log (x)+64 x^3 \log (x) \log (\log (x))) \log ^2(-4+x-\log (\log (x)))}{(4-x) \log (x)+\log (x) \log (\log (x))} \, dx\)
  3.83.81 \(\int \frac {750 \log (x)+375 \log ^2(x)+(-6075 x^4-180 x^5) \log ^4(x)}{625+(750 x+6750 x^4+150 x^5) \log ^2(x)+(225 x^2+4050 x^5+90 x^6+18225 x^8+810 x^9+9 x^{10}) \log ^4(x)} \, dx\)
  3.83.82 \(\int \frac {-10 x^2+e^{\frac {3-x}{x}} (-15+8 x+x^2)+e^{-2+x} (-e^{\frac {2 (3-x)}{x}} x^3+2 e^{\frac {3-x}{x}} x^4-x^5)+(3 e^{\frac {3-x}{x}} x+x^3) \log (x)}{5 x^3-x^4+e^{\frac {3-x}{x}} (-5 x^2+x^3)+e^{-2+x} (-e^{\frac {2 (3-x)}{x}} x^3+2 e^{\frac {3-x}{x}} x^4-x^5)+(e^{\frac {3-x}{x}} x^3-x^4) \log (x)} \, dx\)
  3.83.83 \(\int \frac {e^{e^{\frac {-137-34 x-x^2}{5+x}}} (e (25+10 x+x^2)+e^{1+\frac {-137-34 x-x^2}{5+x}} (-33 x-10 x^2-x^3))}{300+120 x+12 x^2} \, dx\)
  3.83.84 \(\int e^{5 x} (-480 x^2+2400 x^3+4000 x^4) \, dx\)
  3.83.85 \(\int (8 x+e^{3+x} (-8 x-4 x^2+(-4-4 x) \log (3)) \log ^8(5)+e^{6+2 x} (2 x+2 x^2+(2+4 x) \log (3)+2 \log ^2(3)) \log ^{16}(5)) \, dx\)
  3.83.86 \(\int \frac {2 e^{6-3 e^x+3 e^{2 x-x^2}} x-6 e^{4-2 e^x+2 e^{2 x-x^2}} x^2-e^4 x^3-2 x^4+e^{-e^x+e^{2 x-x^2}} (3 e^6 x^2+6 e^2 x^3+2 e^{6+x} x^3+e^{6+2 x-x^2} (-4 x^3+4 x^4))}{4 e^{6-3 e^x+3 e^{2 x-x^2}}-12 e^{4-2 e^x+2 e^{2 x-x^2}} x+12 e^{2-e^x+e^{2 x-x^2}} x^2-4 x^3} \, dx\)
  3.83.87 \(\int \frac {-x^3+e^{\frac {25+x}{x^2}} (50+x)}{(e^{\frac {2 (25+x)}{x^2}} x^3+2 e^{\frac {25+x}{x^2}} x^4+x^5) \log (\log (16))} \, dx\)
  3.83.88 \(\int \frac {-4687500-7500 x-3 x^2+e^{\frac {3750+3 x+625 x^3}{1250+x}} (7031250 x^3+3750 x^4)}{1562500 x+2500 x^2+x^3} \, dx\)
  3.83.89 \(\int \frac {-18+33 x^3-15 x^6+(1-2 x^3+x^6) \log (6)-9 x^3 \log (x)}{(x-2 x^4+x^7) \log (6)} \, dx\)
  3.83.90 \(\int \frac {-3 e^{1+\frac {3 e+75 x}{5 x}}-5 x^2}{5 x^2} \, dx\)
  3.83.91 \(\int \frac {e^{20} (-52 x-4 x^2)}{-1113879+428415 x-65910 x^2+5070 x^3-195 x^4+3 x^5} \, dx\)
  3.83.92 \(\int \frac {-1-e^x+e^{5+e^5 x}}{6-e^x+e^{e^5 x}-x} \, dx\)
  3.83.93 \(\int \frac {12+e^{e^x} (4+e^x x)}{3 x+e^{e^x} x} \, dx\)
  3.83.94 \(\int \frac {5-2 e^2+6 x^2}{2 x^2} \, dx\)
  3.83.95 \(\int \frac {-2+e^{1089+e^{2 x}+e^x (-66-2 x)+66 x+x^2} (66-130 x+62 x^2+2 x^3+e^{2 x} (2-4 x+2 x^2)+e^x (-68+134 x-64 x^2-2 x^3))}{1-2 x+x^2} \, dx\)
  3.83.96 \(\int \frac {-12800+1920 x-12800 e^{e^{x^2}+x^2} x}{625+6400 e^{2 e^{x^2}}+8000 x+25000 x^2-3840 x^3+144 x^4+e^{e^{x^2}} (4000+25600 x-1920 x^2)} \, dx\)
  3.83.97 \(\int \frac {6 x+15 e^4 x^3+3 e^9 x^3+(-6-20 e^4 x^2-4 e^9 x^2) \log (5 e^{\frac {3}{5 e^4 x+e^9 x}})+(5 e^4 x+e^9 x) \log ^2(5 e^{\frac {3}{5 e^4 x+e^9 x}})}{5 e^4 x+e^9 x} \, dx\)
  3.83.98 \(\int \frac {16 x^3+e^2 (256 x-64 x^3)+e^4 (1-512 x+64 x^3)}{e^4} \, dx\)
  3.83.99 \(\int \frac {72+(72-6 x-384 x^3+192 x^4-24 x^5) \log (x)+(-6 x+384 x^3-384 x^4+72 x^5) \log ^2(x)+(-64 x^4+48 x^5-4104 x^6+5120 x^7-2304 x^8+448 x^9-32 x^{10}) \log ^3(x)}{-27+(432 x^3-216 x^4+27 x^5) \log (x)+(-2304 x^6+2304 x^7-864 x^8+144 x^9-9 x^{10}) \log ^2(x)+(4096 x^9-6144 x^{10}+3840 x^{11}-1280 x^{12}+240 x^{13}-24 x^{14}+x^{15}) \log ^3(x)} \, dx\)
  3.83.100 \(\int \frac {e^4 (14-14 x)-28 x-42 x^2+14 x^4+(56 x+28 x^2-28 x^3+e^4 (-14+7 x)) \log (2-x)+(-28 x+14 x^2) \log ^2(2-x)}{-2-3 x+x^3+(4+2 x-2 x^2) \log (2-x)+(-2+x) \log ^2(2-x)} \, dx\)