3.102 Integrals 10101 to 10200

  3.102.1 \(\int \frac {-2 e^{25/12}-e^{25/12} \log (8)}{x^2} \, dx\)
  3.102.2 \(\int \frac {-2 e^x x+(-4-e^x) \log (16+8 e^x+e^{2 x})}{4+e^x} \, dx\)
  3.102.3 \(\int \frac {32-64 x+16 x^2+108 x^4-64 x^5+8 x^6+16 x^8-8 x^9+x^{10}+(64-128 x+32 x^2+108 x^4-64 x^5+8 x^6) \log (5)+(48-96 x+24 x^2+27 x^4-16 x^5+2 x^6) \log ^2(5)+(16-32 x+8 x^2) \log ^3(5)+(2-4 x+x^2) \log ^4(5)+(-28 x^4+8 x^5-8 x^8+2 x^9+(-28 x^4+8 x^5) \log (5)+(-7 x^4+2 x^5) \log ^2(5)) \log (x)+x^8 \log ^2(x)}{64-64 x+16 x^2+64 x^4-48 x^5+8 x^6+16 x^8-8 x^9+x^{10}+(128-128 x+32 x^2+64 x^4-48 x^5+8 x^6) \log (5)+(96-96 x+24 x^2+16 x^4-12 x^5+2 x^6) \log ^2(5)+(32-32 x+8 x^2) \log ^3(5)+(4-4 x+x^2) \log ^4(5)+(-16 x^4+8 x^5-8 x^8+2 x^9+(-16 x^4+8 x^5) \log (5)+(-4 x^4+2 x^5) \log ^2(5)) \log (x)+x^8 \log ^2(x)} \, dx\)
  3.102.4 \(\int \frac {-162-657 x-260 x^2+1379 x^3+1254 x^4+410 x^5+58 x^6+3 x^7+e^{-\frac {1}{-9-25 x-10 x^2-x^3+3 \log (x)}} (6-50 x-40 x^2-6 x^3)+(108+138 x-330 x^2-168 x^3-18 x^4) \log (x)+(-18+27 x) \log ^2(x)}{81 x+450 x^2+805 x^3+518 x^4+150 x^5+20 x^6+x^7+(-54 x-150 x^2-60 x^3-6 x^4) \log (x)+9 x \log ^2(x)} \, dx\)
  3.102.5 \(\int \frac {-5+x}{-3+x} \, dx\)
  3.102.6 \(\int \frac {8+16 x+10 x^2+2 x^3+e^{3 e^{25^{\frac {2 (3+x)}{6+3 x}}+2 25^{\frac {3+x}{6+3 x}} x+x^2}} (4+4 x+x^2+e^{25^{\frac {2 (3+x)}{6+3 x}}+2 25^{\frac {3+x}{6+3 x}} x+x^2} (24 x^2+24 x^3+6 x^4-2 25^{\frac {2 (3+x)}{6+3 x}} x \log (25)+25^{\frac {3+x}{6+3 x}} (24 x+24 x^2+6 x^3-2 x^2 \log (25))))}{4+4 x+x^2} \, dx\)
  3.102.7 \(\int \frac {e^{\frac {3 x-9 e x-3 x^3+(3 e x+x^3) \log (x^2)}{-9 e+3 e \log (x^2)}} (-20 x+36 x^3+e (36+36 x)+(e (-24-24 x)+4 x-24 x^3) \log (x^2)+(4 x^3+e (4+4 x)) \log ^2(x^2))}{9 e-6 e \log (x^2)+e \log ^2(x^2)} \, dx\)
  3.102.8 \(\int (5-2 x-2 e^{x^2} x) \, dx\)
  3.102.9 \(\int \frac {e^{e^{\frac {1}{4} (1+4 x)}} (6-8 x+2 x^2+e^{\frac {1}{4} (1+4 x)} (4 x-6 x^2+x^3)+(2-2 x+e^{\frac {1}{4} (1+4 x)} (6 x-2 x^2)) \log (x)+e^{\frac {1}{4} (1+4 x)} x \log ^2(x))}{2 x} \, dx\)
  3.102.10 \(\int \frac {-2+e^8 (-14-4 x)}{e^8} \, dx\)
  3.102.11 \(\int \frac {32 e^{8 x} x+2 x^4+(-120 x^3-6 x^4+e^{8 x} (3840-15168 x-768 x^2)+(40 x^3+2 x^4+e^{8 x} (-1280+5056 x+256 x^2)) \log (\frac {3}{20+x})) \log (3-\log (\frac {3}{20+x}))}{(-60 x^4-3 x^5+e^{8 x} (-960 x-48 x^2)+(20 x^4+x^5+e^{8 x} (320 x+16 x^2)) \log (\frac {3}{20+x})) \log (3-\log (\frac {3}{20+x}))} \, dx\)
  3.102.12 \(\int \frac {-2 e^{x+2 e^{-x} (-2 x+2 x^2)} x-50 e^x x^3+e^{e^{-x} (-2 x+2 x^2)} (-4 x+12 x^2-4 x^3+e^x (-2+20 x^2))}{e^{x+2 e^{-x} (-2 x+2 x^2)} x^4+e^{x+e^{-x} (-2 x+2 x^2)} (4 x^3-10 x^5)+e^x (4 x^2-20 x^4+25 x^6)} \, dx\)
  3.102.13 \(\int \frac {e^{\frac {1}{3} (6+e^2)+e^{\frac {1}{3} (6+e^2)} (259-x)}}{4+4 e^{e^{\frac {1}{3} (6+e^2)} (259-x)}+e^{2 e^{\frac {1}{3} (6+e^2)} (259-x)}} \, dx\)
  3.102.14 \(\int \frac {e^2 (27-9 x)-2 \log (\frac {\log (2)}{(-6+2 x) \log (6)})}{e^2 (-27+9 x)} \, dx\)
  3.102.15 \(\int \frac {e^{1-2 e^x+e^{2 x}} (40+80 e^x x-80 e^{2 x} x)}{225 e^{2-4 e^x+2 e^{2 x}}-540 e^{1-2 e^x+e^{2 x}} x+324 x^2} \, dx\)
  3.102.16 \(\int \frac {e^{\frac {-942080000-1040384000 x-455411200 x^2-98920960 x^3-10674689 x^4-458240 x^5}{40960000+32768000 x+9830400 x^2+1310720 x^3+65536 x^4}} (-358400000-358240000 x-143248000 x^2-28643205 x^3-2864000 x^4-114560 x^5)}{51200000+51200000 x+20480000 x^2+4096000 x^3+409600 x^4+16384 x^5} \, dx\)
  3.102.17 \(\int \frac {12 x-24 x^2+8 x^3+3 x^4+e^6 (7-12 x+3 x^2+2 x^3)+(26 x-22 x^2-6 x^3+e^6 (14-10 x-4 x^2)) \log (3)+(14 x+3 x^2+e^6 (7+2 x)) \log ^2(3)}{-2+4 x+4 x^2-12 x^3+5 x^4+x^5+e^6 (7 x-13 x^2+5 x^3+x^4)+(-4+4 x+13 x^2-12 x^3-2 x^4+e^6 (14 x-12 x^2-2 x^3)) \log (3)+(-2+7 x^2+x^3+e^6 (7 x+x^2)) \log ^2(3)} \, dx\)
  3.102.18 \(\int \frac {10 x^2+2 e^3 x^3+2 e^3 \log (x)-e^3 \log ^2(x)}{2 e^3 x^2 \log (2)} \, dx\)
  3.102.19 \(\int \frac {3 x^2}{2 \log (28)} \, dx\)
  3.102.20 \(\int \frac {e^{11+x} (1+2 \log (3))}{\log (3)} \, dx\)
  3.102.21 \(\int \frac {3+e^{5+x} (-18+6 e+6 x)}{32+2 e^2-16 x+2 x^2+e (-16+4 x)+e^{5+x} (128+8 e^2-64 x+8 x^2+e (-64+16 x))+e^{10+2 x} (128+8 e^2-64 x+8 x^2+e (-64+16 x))} \, dx\)
  3.102.22 \(\int \frac {(10-4 x) (i \pi +\log (2))^2+e^{e^{3+x}+e^3 x} (-2 e^{3+x} x (i \pi +\log (2))^2+(-2-2 e^3 x) (i \pi +\log (2))^2)}{-125 x^3+e^{3 e^{3+x}+3 e^3 x} x^3+75 x^4-15 x^5+x^6+e^{2 e^{3+x}+2 e^3 x} (-15 x^3+3 x^4)+e^{e^{3+x}+e^3 x} (75 x^3-30 x^4+3 x^5)} \, dx\)
  3.102.23 \(\int \frac {7 x^2+(12+4 x) \log ^3(5 x) \log (3+x)+\log ^4(5 x) (-x+(-3-x) \log (3+x))}{147 x^2+49 x^3+(-42 x-14 x^2) \log ^4(5 x)+(3+x) \log ^8(5 x)} \, dx\)
  3.102.24 \(\int \frac {e^x (18-18 x+27 x^2-3 x^3+e^5 (-75 x+15 x^2))}{-7776 x^2-6480 x^4-2160 x^6+3125 e^{25} x^7-360 x^8-30 x^{10}-x^{12}+e^{20} (-18750 x^6-3125 x^8)+e^{15} (45000 x^5+15000 x^7+1250 x^9)+e^{10} (-54000 x^4-27000 x^6-4500 x^8-250 x^{10})+e^5 (32400 x^3+21600 x^5+5400 x^7+600 x^9+25 x^{11})} \, dx\)
  3.102.25 \(\int \frac {-128-384 x-256 x^2+e^{2 x} (-128 x^2+640 x^4+512 x^5)+e^{4 x} (-32 x^4+96 x^5+128 x^6)+(-256-256 x+e^{2 x} (128 x^2+1152 x^3+1024 x^4)+e^{4 x} (128 x^4+128 x^5)) \log (x)+e^{2 x} (512 x^2+512 x^3) \log ^2(x)}{e^{4 x} x^8+3 e^{4 x} x^7 \log (x)+3 e^{4 x} x^6 \log ^2(x)+e^{4 x} x^5 \log ^3(x)} \, dx\)
  3.102.26 \(\int \frac {2 e^x+e^x x \log (x^2) \log (\log (x^2))}{2 x \log (x^2)} \, dx\)
  3.102.27 \(\int \frac {135 x-7 x^2-4 x^3+e^3 (10 x-2 x^2)+(-135 x+44 x^2+4 x^3+e^3 (-150+50 x+4 x^2)) \log (27 x+2 x^2+e^3 (30+2 x))}{675 x^3-220 x^4+7 x^5+2 x^6+e^3 (750 x^2-250 x^3+10 x^4+2 x^5)+(270 x^2-34 x^3-4 x^4+e^3 (300 x-40 x^2-4 x^3)) \log (27 x+2 x^2+e^3 (30+2 x))+(27 x+2 x^2+e^3 (30+2 x)) \log ^2(27 x+2 x^2+e^3 (30+2 x))} \, dx\)
  3.102.28 \(\int \frac {3+(-25+24 x+4 x^2) \log (3)}{-9-3 x+(12-17 x+5 x^2+4 x^3) \log (3)} \, dx\)
  3.102.29 \(\int \frac {e^{4 \log ^2(x)} (2+(16-8 x) \log (x)+e^{e^{1+2 x}+x} (1-x-2 e^{1+2 x} x+8 \log (x)))}{4+e^{2 e^{1+2 x}+2 x}+e^{e^{1+2 x}+x} (4-2 x)-4 x+x^2} \, dx\)
  3.102.30 \(\int \frac {1+\log (x)}{-2+x \log (x)} \, dx\)
  3.102.31 \(\int \frac {(7 x-7 x^3) \log (x)+(28 x-28 x^2) \log ^2(x)+(2-2 x^2+4 x^2 \log (x)+8 x \log ^2(x)) \log (\frac {1-x^2+(4-4 x) \log (x)}{4 \log (x)})}{(-x+x^3) \log (x)+(-4 x+4 x^2) \log ^2(x)} \, dx\)
  3.102.32 \(\int \frac {-20 x+12 e^{x/5} x+(-60 e^{x/5}+20 x) \log (\frac {1}{4} (-3 e^{2+\frac {x}{5}} \log (2)+e^2 x \log (2))) \log (\log (\frac {1}{4} (-3 e^{2+\frac {x}{5}} \log (2)+e^2 x \log (2)))) \log (\log (\log (\frac {1}{4} (-3 e^{2+\frac {x}{5}} \log (2)+e^2 x \log (2)))))+(15 e^{x/5}-5 x) \log (\frac {1}{4} (-3 e^{2+\frac {x}{5}} \log (2)+e^2 x \log (2))) \log (\log (\frac {1}{4} (-3 e^{2+\frac {x}{5}} \log (2)+e^2 x \log (2)))) \log ^2(\log (\log (\frac {1}{4} (-3 e^{2+\frac {x}{5}} \log (2)+e^2 x \log (2)))))}{(60 e^{x/5}-20 x) \log (\frac {1}{4} (-3 e^{2+\frac {x}{5}} \log (2)+e^2 x \log (2))) \log (\log (\frac {1}{4} (-3 e^{2+\frac {x}{5}} \log (2)+e^2 x \log (2)))) \log ^2(\log (\log (\frac {1}{4} (-3 e^{2+\frac {x}{5}} \log (2)+e^2 x \log (2)))))} \, dx\)
  3.102.33 \(\int \frac {e^{5+2 x} (3-2 x)+2 x^4-e^5 x^4-e^x x^4}{x^4} \, dx\)
  3.102.34 \(\int \frac {-5 x-4 x^2+x^3+e^{7+x} (4+3 x-x^2)+(-8-10 x+3 x^2+e^{7+x} (4 x+3 x^2-x^3)) \log (x)+(-4-3 x+x^2) \log (1+x)}{-4 x-3 x^2+x^3} \, dx\)
  3.102.35 \(\int \frac {e^{\frac {8-e^{-1-x+x^2}+4 x}{80+80 x^2+20 x^4}} (8-32 x-12 x^2+e^{-1-x+x^2} (2+x^2-2 x^3))}{160+240 x^2+120 x^4+20 x^6} \, dx\)
  3.102.36 \(\int \frac {e^3 (-1-x) (e^{-1+x} (-3 e^{1-x}+x))^{e^3}}{3 e^{1-x}-x} \, dx\)
  3.102.37 \(\int \frac {-6 \log (x)-3 \log ^2(x)}{-7+e^2} \, dx\)
  3.102.38 \(\int \frac {18 x^3+e^{\frac {20+9 x^2}{9 x^2}} (-40+9 x^2)}{9 x^2} \, dx\)
  3.102.39 \(\int \frac {e^{-x} (e^x (-5-8 x)-6 x+2 x^2+(-6 x-8 e^x x+10 x^2-2 x^3) \log (x))}{2 x} \, dx\)
  3.102.40 \(\int \frac {33-4 x+12 x^3+3 \log (\frac {x^2}{2})}{27 x-2 x^2+3 x^4+3 x \log (\frac {x^2}{2})} \, dx\)
  3.102.41 \(\int \frac {6+x^2+(6+x^2) \log (24+4 x^2)+\frac {e^{e^2+x} (-6+2 x-x^2+(-6-x^2) \log (24+4 x^2))}{1+\log (24+4 x^2)}}{6+x^2+(6+x^2) \log (24+4 x^2)} \, dx\)
  3.102.42 \(\int \frac {-150000 e^{10} x^2+390625 x^3}{4096 e^{30}-96000 e^{20} x+750000 e^{10} x^2-1953125 x^3} \, dx\)
  3.102.43 \(\int e^{-4+x-x^2-2 x^2 \log (2) \log (5)-e^{2 x} \log ^2(5)-x^2 \log ^2(2) \log ^2(5)+e^x (2 x \log (5)+2 x \log (2) \log ^2(5))} (3 x-2 x^2+(4 x-4 x^2) \log (2) \log (5)+e^{2 x} (2-2 x) \log ^2(5)+(2 x-2 x^2) \log ^2(2) \log ^2(5)+e^x ((-2+2 x^2) \log (5)+(-2+2 x^2) \log (2) \log ^2(5))) \, dx\)
  3.102.44 \(\int \frac {-4 x \log (x)+8 \log (\frac {4}{\log ^2(x)})-2 \log (x) \log ^2(\frac {4}{\log ^2(x)})+(2 x \log (x)+2 \log (x) \log ^2(\frac {4}{\log ^2(x)})) \log (\frac {2}{x^2+x \log ^2(\frac {4}{\log ^2(x)})})}{x \log (x)+\log (x) \log ^2(\frac {4}{\log ^2(x)})} \, dx\)
  3.102.45 \(\int \frac {x^2+e^{\frac {-25-9 x-e^2 x-e^x x+3 x^2+x \log (x)}{x}} (25+x+3 x^2-e^x x^2)}{x^2} \, dx\)
  3.102.46 \(\int \frac {1}{5} (e^2 (-18-4 x)+6 e^2 \log (3)) \, dx\)
  3.102.47 \(\int \frac {-225-300 \log (2)+(-60 x+75 \log (2)) \log (49 x^4)+(-4 x^2+20 x \log (2)) \log ^2(49 x^4)}{225 x^2+60 x^3 \log (49 x^4)+4 x^4 \log ^2(49 x^4)} \, dx\)
  3.102.48 \(\int \frac {e^{-\frac {-5 x+e^5 x+(-5+e^5) \log (x)+\log (\frac {x}{\log (x)})}{x+\log (x)}} (e^{\frac {-5 x+e^5 x+(-5+e^5) \log (x)+\log (\frac {x}{\log (x)})}{x+\log (x)}} (x^2 \log (x)+2 x \log ^2(x)+\log ^3(x))+e^{e^{-\frac {-5 x+e^5 x+(-5+e^5) \log (x)+\log (\frac {x}{\log (x)})}{x+\log (x)}} (-2 e^{\frac {-5 x+e^5 x+(-5+e^5) \log (x)+\log (\frac {x}{\log (x)})}{x+\log (x)}}+x)} (x+(1-x+x^2) \log (x)+(-1+2 x) \log ^2(x)+\log ^3(x)+(1+x) \log (x) \log (\frac {x}{\log (x)})))}{x^2 \log (x)+2 x \log ^2(x)+\log ^3(x)} \, dx\)
  3.102.49 \(\int \frac {-2 x^3+e^{2 x} (32-50 x+16 x^2)+e^x (-32 x+52 x^2-16 x^3)+(e^{2 x} (-8+12 x-4 x^2)+e^x (8 x-12 x^2+4 x^3)) \log (96-48 x)}{-2 x^3+x^4} \, dx\)
  3.102.50 \(\int \frac {32-512 x-240 x^2+128 x^3+64 x^4+e^{4 x} (2-40 x+53 x^2+12 x^3-44 x^4-16 x^5)}{32 x-272 x^2-16 x^3+192 x^4+64 x^5+e^{4 x} (2 x-17 x^2-x^3+12 x^4+4 x^5)} \, dx\)
  3.102.51 \(\int \frac {64 x^3+e^2 (3+192 x^3-40 x^4+6 x^5)}{4 e^2} \, dx\)
  3.102.52 \(\int \frac {-3 x+(48-144 x+108 x^2-24 x^3+4 e^5 (-48+48 x-12 x^2)) \log (x)+(-48 x+48 x^2-12 x^3) \log ^2(x)}{4 x-4 x^2+x^3} \, dx\)
  3.102.53 \(\int (4-2 x+3 x^2+e (-2+4 x)) \, dx\)
  3.102.54 \(\int \frac {e^{x/5} (e^4 (-5+x)-10 x+5 x^2+x^3)-e^{x/5} x^2 \log (\frac {x^2}{4096})}{5 x^2} \, dx\)
  3.102.55 \(\int \frac {8-6 x-x \log (4)}{-4 x+6 x^2+80 x^3+x^2 \log (4)} \, dx\)
  3.102.56 \(\int \frac {e^2 (-4 e^{4+\frac {e^2}{8 x^2}}+288 e^{-2+2 x} x^3+e^{\frac {e^2}{16 x^2}} (-12 e^{2+x}+96 e^x x^3))}{144 x^3} \, dx\)
  3.102.57 \(\int \frac {(-20-20 x^2-5 x^4) \log (3)+e^{-4 e^x+4 x+4 x^2} (e^x (-32 x-16 x^3) \log (3)+(8+32 x+60 x^2+16 x^3+32 x^4) \log (3))}{16+16 x^2+4 x^4} \, dx\)
  3.102.58 \(\int \frac {e^{x/4} (-128+16 x)+e^{x/4} (-8+x) \log (\frac {\log (2)}{4})}{4 x^3} \, dx\)
  3.102.59 \(\int \frac {-4-12 x-12 x^2-20 x^3+(4 x+8 x^2+12 x^3) \log (\frac {4}{x+x^2})}{x} \, dx\)
  3.102.60 \(\int \frac {5+15 x-10 x^2-30 x^3+(20+5 x^2+5 \log (\frac {\log ^4(4)}{x})) \log (4+x^2+\log (\frac {\log ^4(4)}{x}))+(8+48 x+74 x^2+12 x^3+18 x^4+(2+12 x+18 x^2) \log (\frac {\log ^4(4)}{x})) \log ^2(4+x^2+\log (\frac {\log ^4(4)}{x}))}{(8+48 x+74 x^2+12 x^3+18 x^4+(2+12 x+18 x^2) \log (\frac {\log ^4(4)}{x})) \log ^2(4+x^2+\log (\frac {\log ^4(4)}{x}))} \, dx\)
  3.102.61 \(\int \frac {128-32 x+64 x^2-16 x^3+8 x^4-2 x^5+(40-530 x+280 x^2-545 x^3+258 x^4-128 x^5+48 x^6-6 x^7) \log (x)+(2-296 x+82 x^2-258 x^3+64 x^4-48 x^5+12 x^6) \log ^2(x)+(-49 x+4 x^2-32 x^3-6 x^5) \log ^3(x)-2 x \log ^4(x)+((52-x+88 x^2-16 x^3+19 x^4-4 x^5) \log (x)+(20+24 x^2+5 x^4) \log ^2(x)+\log ^3(x)) \log (\log ^2(x))}{(16-8 x+x^2) \log (x)+(8-2 x) \log ^2(x)+\log ^3(x)} \, dx\)
  3.102.62 \(\int \frac {4 e^{10}-4 e^x \log (5)}{\log (5)} \, dx\)
  3.102.63 \(\int \frac {-500 x^3+500 x^3 \log (x)+(500 x-500 x^2) \log ^2(x)+(-500 x+750 x^2) \log ^3(x)+128000 e^{2 e^{256 x^2}+256 x^2} x \log ^5(x)+(-250+250 x) \log ^5(x)+e^{e^{256 x^2}} (-500 x \log ^2(x)+(500 x+128000 e^{256 x^2} x^3) \log ^3(x)+(250+e^{256 x^2} (-128000 x+128000 x^2)) \log ^5(x))}{\log ^5(x)} \, dx\)
  3.102.64 \(\int (8 x-4 x^3-\log (x)) \, dx\)
  3.102.65 \(\int \frac {e^6 (-42-64 x-36 x^2-8 x^3)}{-125-75 x+60 x^2+29 x^3-12 x^4-3 x^5+x^6+e^6 (-45-69 x-23 x^2+8 x^3+4 x^4)} \, dx\)
  3.102.66 \(\int \frac {25 x+25 x^3 \log (3)+10 x^2 \log (3) \log (625)+x \log (3) \log ^2(625)+(-25 x+25 x^2+25 x^3 \log (3)+(-5+10 x+10 x^2 \log (3)) \log (625)+(1+x \log (3)) \log ^2(625)) \log (\frac {-5+5 x+5 x^2 \log (3)+(1+x \log (3)) \log (625)}{5 x+\log (625)})}{-50 x+50 x^2+50 x^3 \log (3)+(-10+20 x+20 x^2 \log (3)) \log (625)+(2+2 x \log (3)) \log ^2(625)} \, dx\)
  3.102.67 \(\int \frac {e^{-\frac {-1+5 \log (2 x+x \log (x))}{\log (2 x+x \log (x))}} (-15-5 \log (x)+e^{\frac {-1+5 \log (2 x+x \log (x))}{\log (2 x+x \log (x))}} (4 x^2+6 x^3+(2 x^2+3 x^3) \log (x)) \log ^2(2 x+x \log (x)))}{(2 x+x \log (x)) \log ^2(2 x+x \log (x))} \, dx\)
  3.102.68 \(\int (-25-2 e^2) \, dx\)
  3.102.69 \(\int \frac {2 x^2+e^{3968-1512 x+144 x^2} x (1-1512 x+288 x^2)}{x} \, dx\)
  3.102.70 \(\int \frac {32+e^4 x^2}{e^4 x^2} \, dx\)
  3.102.71 \(\int \frac {9 e^{10} x^3 \log (4)+(-27-36 x-18 x^2) \log (5)+(18 e^{10} x^2 \log (4)-9 x \log (5)) \log (x)+9 e^{10} x \log (4) \log ^2(x)}{9 x^3+6 x^4+x^5+(18 x^2+12 x^3+2 x^4) \log (x)+(9 x+6 x^2+x^3) \log ^2(x)} \, dx\)
  3.102.72 \(\int \frac {-4 x^2-4 e^{x^2} x^3+(8 x^2+e^{x^2} (2 x+4 x^3)+2 x \log (8)) \log (e^{x^2}+2 x+\log (8))+(-4 e^{x^2} x-8 x^2-4 x \log (8)) \log ^2(e^{x^2}+2 x+\log (8))+(2 e^{x^2} x+4 x^2+2 x \log (8)) \log ^3(e^{x^2}+2 x+\log (8))}{(e^{x^2}+2 x+\log (8)) \log ^3(e^{x^2}+2 x+\log (8))} \, dx\)
  3.102.73 \(\int \frac {34 x^2+20 x^3+14 x^4+10 x^5+e^x (-12+12 x+11 x^2+4 x^3+5 x^4)+(12+4 x^2) \log (\frac {1}{4} (3+x^2))}{3 x^2+x^4} \, dx\)
  3.102.74 \(\int \frac {e^{\frac {2 x^2}{1-8 x^2+16 x^4}} (-2 x+20 x^3-112 x^5+128 x^7)}{-1+12 x^2-48 x^4+64 x^6} \, dx\)
  3.102.75 \(\int \frac {1-103 x^2+50 x^3-\log (x)}{x^2} \, dx\)
  3.102.76 \(\int \frac {-25 x+e^{4 x^2} (-50 x^3-200 x^5)-25 x \log (e^{e^{4 x^2} x^2} x)+(2+45 x) \log ^2(e^{e^{4 x^2} x^2} x)}{5 x^3 \log ^2(e^{e^{4 x^2} x^2} x)} \, dx\)
  3.102.77 \(\int (-2+e^{x^4} (6 x^2+8 x^6+(-4 x-8 x^5) \log (4))) \, dx\)
  3.102.78 \(\int \frac {e^{e^x+x} x+\frac {e^{2+2 \log ^2(5 x)} (-4 e^{6+2 e^4}+4 e^{6+2 e^4} \log (5 x))}{625 x^4}}{x} \, dx\)
  3.102.79 \(\int \frac {e^{-x^2} (8 x-x^2+8 x^3-2 x^4+e^5 (4+8 x^2-2 x^3)+e^{x^2} (-2 e^{10}+6 x^2+e^5 (-4 x+2 x^2)+e^x (-8 x+5 x^2-x^3+e^5 (-4+4 x-x^2))))}{e^{10} x^2+2 e^5 x^3+x^4} \, dx\)
  3.102.80 \(\int \frac {6 x-32 x \log ^2(2)}{-15+3 x^2+(80-16 x^2) \log ^2(2)+3 \log (9)} \, dx\)
  3.102.81 \(\int \frac {1+x+e^{x+x^2} (-4 x-8 x^2)+e^{4+x} (2 x+2 x^2)+e^{2 x+2 x^2} (2 x+4 x^2)}{x} \, dx\)
  3.102.82 \(\int \frac {e^x (1-x)+(-4 e^{2 x}+e^x x) \log (e^{-x} (-4 e^x+x)) \log (\log (e^{-x} (-4 e^x+x)))+(8 e^{2 x}-2 e^x x) \log (e^{-x} (-4 e^x+x)) \log (\log (\log (16)))}{(8 e^x-2 x) \log (e^{-x} (-4 e^x+x))} \, dx\)
  3.102.83 \(\int \frac {48-120 x+4 x^2+(15-100 x-5 x^2) \log (\frac {9-120 x+394 x^2+40 x^3+x^4}{x^4})}{-15 x^2+100 x^3+5 x^4} \, dx\)
  3.102.84 \(\int \frac {-18+24 x+31 x^2+6 x^3+(45+10 x) \log (9+2 x)}{9+2 x} \, dx\)
  3.102.85 \(\int \frac {e^x (1-x)+e^2 (-20 x+11 x^2)+4 e^2 x^2 \log (x)}{e^2 x^2} \, dx\)
  3.102.86 \(\int \frac {4 x+e^{-x} \log (5) (-12-8 x+(-4-4 x) \log (x))}{4 x^2+4 x^2 \log (x)+x^2 \log ^2(x)} \, dx\)
  3.102.87 \(\int \frac {-x^2+x^5+(x^2+x^3) \log (x)+(3 x^3+3 x^4+3 x^2 \log (x)) \log (\frac {e^{-x} (x+x^2+\log (x))}{x})}{(x+x^2+\log (x)) \log ^2(\frac {e^{-x} (x+x^2+\log (x))}{x})} \, dx\)
  3.102.88 \(\int \frac {(-2 x^2+e^2 (12+8 x)+(-10 x^2+e^2 (60+40 x)) \log (5)) \log (\log (25))}{(4 e^4-4 e^2 x+x^2) \log (5)} \, dx\)
  3.102.89 \(\int \frac {-1+4 x+4 x^2}{-2 x^2+4 x^3+e (-x+2 x^2)+(-x+2 x^2) \log (x)+(-2 x+4 x^2) \log (-1+2 x)} \, dx\)
  3.102.90 \(\int \frac {-40 x-22 x^2+2 x^3+(8 x+6 x^2) \log (x^3)+(200+134 x-4 x^2+(-80-52 x+2 x^2) \log (x^3)+(8+6 x) \log ^2(x^3)) \log (32 x+16 x^2+2 x^3)+(-120-30 x+(24+6 x) \log (x^3)) \log ^2(32 x+16 x^2+2 x^3)}{4 x+x^2} \, dx\)
  3.102.91 \(\int \log (\frac {1}{6} (30-5 \log (\log (2))-15 e^3 (i \pi +\log (4-\log (3))))) \, dx\)
  3.102.92 \(\int \frac {24-4 e^{\frac {x^2}{2}} x^3}{3 x^2} \, dx\)
  3.102.93 \(\int e^{-e^{1+e^{32}-2 x+x^2+e^{16} (-2+2 x)}} (-3 x+e^{1+e^{32}-2 x+x^2+e^{16} (-2+2 x)} (-4 x^2+4 e^{16} x^2+4 x^3)+(2 x+e^{1+e^{32}-2 x+x^2+e^{16} (-2+2 x)} (2 x^2-2 e^{16} x^2-2 x^3)) \log (x)) \, dx\)
  3.102.94 \(\int \frac {-45+9 e^4+e^{-2+2 x} (-9-18 x)}{25 x^2-10 e^4 x^2+e^8 x^2+e^{-4+4 x} x^2+e^{-2+2 x} (10 x^2-2 e^4 x^2)} \, dx\)
  3.102.95 \(\int \frac {-2-x+2 \log (-5 x+x (i \pi +\log (3)))}{(4+4 x+x^2) \log ^2(-5 x+x (i \pi +\log (3)))} \, dx\)
  3.102.96 \(\int \frac {4 e^4 x^3}{(-450+x^4) \log ^2(\frac {1}{225} (-450+x^4))} \, dx\)
  3.102.97 \(\int \frac {e^{400+4 e^{6+2 e^{e^x} x}+\log ^2(x)+e^{3+e^{e^x} x} (-80+4 \log (x))} (-40+e^{6+e^x+2 e^{e^x} x} (8 x+8 e^x x^2)+2 \log (x)+e^{3+e^{e^x} x} (4+e^{e^x} (-80 x-80 e^x x^2+(4 x+4 e^x x^2) \log (x))))}{x^{41}} \, dx\)
  3.102.98 \(\int \frac {-960 x^2+1440 x^2 \log (x)}{\log ^3(x)} \, dx\)
  3.102.99 \(\int \frac {-1875-675 x+30 x^2+e^6 (-75+3 x)+e^{\frac {2}{3} (-3 x+\log (25-x))} (-75+3 x)+e^3 (-750-120 x+6 x^2)+e^{\frac {1}{3} (-3 x+\log (25-x))} (-750-120 x-70 x^2+3 x^3+e^3 (-150+6 x))}{-1875+75 x+e^6 (-75+3 x)+e^{\frac {2}{3} (-3 x+\log (25-x))} (-75+3 x)+e^3 (-750+30 x)+e^{\frac {1}{3} (-3 x+\log (25-x))} (-750+30 x+e^3 (-150+6 x))} \, dx\)
  3.102.100 \(\int \frac {x+2 e^{e^{2 x}+2 x} x+(5-e^{e^{2 x}}-x) \log (5-e^{e^{2 x}}-x)}{(-5+e^{e^{2 x}}+x) \log ^2(5-e^{e^{2 x}}-x)} \, dx\)