3.23 Integrals 2201 to 2300

  3.23.1 \(\int \frac {-e^{3 x}+3375 x^6-10125 x^7+10125 x^8-3375 x^9+e^{\frac {16-2 e^{2 x}-450 x^4+900 x^5-450 x^6+e^x (60 x^2-60 x^3)}{e^{2 x}+225 x^4-450 x^5+225 x^6+e^x (-30 x^2+30 x^3)}} (32 e^x-960 x+1440 x^2)+e^{2 x} (45 x^2-45 x^3)+e^x (-675 x^4+1350 x^5-675 x^6)}{e^{3 x}-3375 x^6+10125 x^7-10125 x^8+3375 x^9+e^{2 x} (-45 x^2+45 x^3)+e^x (675 x^4-1350 x^5+675 x^6)} \, dx\)
  3.23.2 \(\int \frac {-x^2+e^{\frac {x^3+x \log (3)-e^x \log (4)}{x^2}} (x^3-x \log (3)+e^x (2-x) \log (4))}{x^3} \, dx\)
  3.23.3 \(\int \frac {7454200-2564100 x+1823674 x^2-532140 x^3+66501 x^4-3780 x^5+81 x^6+(-12220-4798 x^2+840 x^3-36 x^4) \log (x)+4 x^2 \log ^2(x)}{1493284 x^2-513240 x^3+66096 x^4-3780 x^5+81 x^6+(-4888 x^2+840 x^3-36 x^4) \log (x)+4 x^2 \log ^2(x)} \, dx\)
  3.23.4 \(\int \frac {1500+800 x-480 x^2-384 x^3-64 x^4+(3000+3600 x+1440 x^2+192 x^3) \log ^2(3)+(900+120 x-336 x^2-96 x^3+(1800+1440 x+288 x^2) \log ^2(3)) \log (-2+x-3 \log ^2(3))+(180-48 x-48 x^2+(360+144 x) \log ^2(3)) \log ^2(-2+x-3 \log ^2(3))+(12-8 x+24 \log ^2(3)) \log ^3(-2+x-3 \log ^2(3))}{2-x+3 \log ^2(3)} \, dx\)
  3.23.5 \(\int \frac {e^{\frac {4+x}{5+3 x}} (-138-111 x-27 x^2)+e^{\frac {4+x}{5+3 x}} (-46-37 x-9 x^2) \log ^2(\log (4))}{225+420 x+286 x^2+84 x^3+9 x^4} \, dx\)
  3.23.6 \(\int \frac {-60-24 x+23 x^2+10 x^3+x^4+e^{e^2} (250 x^2+100 x^3+10 x^4)}{50 x^2+20 x^3+2 x^4} \, dx\)
  3.23.7 \(\int \frac {e^{-\log ^2(x)} (e^{\log ^2(x)} (-2 x^2-4 e^{8+2 x^2} x^2+e^{4+x^2} (-2 x-4 x^3))+(-20-4 e^{8+2 x^2}-8 e^{4+x^2} x-4 x^2) \log (x))}{5 x+e^{8+2 x^2} x+2 e^{4+x^2} x^2+x^3} \, dx\)
  3.23.8 \(\int \frac {-1912 x+81 x^2-x^3+e^5 (-7680+324 x-4 x^2)+(-479 x+10 x^2+e^5 (-1920+40 x)) \log (x)+(-120 e^5-30 x) \log ^2(x)+(-89 x+2 x^2+e^5 (-356+8 x)+(-44 e^5-11 x) \log (x)) \log (\frac {1}{4} (4 e^5+x))+(-4 e^5-x) \log ^2(\frac {1}{4} (4 e^5+x))}{1600 x-80 x^2+x^3+e^5 (6400-320 x+4 x^2)+(e^5 (1600-40 x)+400 x-10 x^2) \log (x)+(100 e^5+25 x) \log ^2(x)+(e^5 (320-8 x)+80 x-2 x^2+(40 e^5+10 x) \log (x)) \log (\frac {1}{4} (4 e^5+x))+(4 e^5+x) \log ^2(\frac {1}{4} (4 e^5+x))} \, dx\)
  3.23.9 \(\int -\frac {20 e^{1+e^{e^{1+x}}+e^{1+x}+x}}{49+14 e^2+e^4+e^{2 e^{e^{1+x}}}+e^{e^{e^{1+x}}} (14+2 e^2)} \, dx\)
  3.23.10 \(\int \frac {2+2 x+e^5 (2+2 x)+(2+4 x) \log (x)}{x+2 x^2+e^5 (x+2 x^2)} \, dx\)
  3.23.11 \(\int \frac {16 e^{24 e^{x^2}} (-32+768 e^{x^2} x^2)}{x^3} \, dx\)
  3.23.12 \(\int \frac {3 e^5 x^3+e^{\frac {e^{\frac {3-x+25 e^5 x}{e^5 x}}}{3 x}+\frac {3-x+25 e^5 x}{e^5 x}} (3+e^5 x)}{3 e^5 x^3} \, dx\)
  3.23.13 \(\int \frac {2+4 e^e+e^x (1-x)}{5 x^2} \, dx\)
  3.23.14 \(\int \frac {2 x^4+e^{16 x+4 x^2} (-2+16 x+8 x^2)+e^{12 x+3 x^2} (-4 x+48 x^2+24 x^3)+e^{8 x+2 x^2} (48 x^3+24 x^4)+e^{4 x+x^2} (4 x^3+16 x^4+8 x^5)}{e^{24 x+6 x^2}+6 e^{20 x+5 x^2} x+x^3+3 x^4+3 x^5+x^6+e^{16 x+4 x^2} (3 x+15 x^2)+e^{12 x+3 x^2} (12 x^2+20 x^3)+e^{8 x+2 x^2} (3 x^2+18 x^3+15 x^4)+e^{4 x+x^2} (6 x^3+12 x^4+6 x^5)} \, dx\)
  3.23.15 \(\int \frac {-x^6+120 x^7+1112 x^8+3210 x^9+3504 x^{10}+1300 x^{11}+150 x^{12}+e^9 (-1+50 x^2+780 x^3+2904 x^4+1300 x^5+150 x^6)+e^6 (-3 x^2+90 x^3+1374 x^4+6390 x^5+9612 x^6+3900 x^7+450 x^8)+e^3 (33 x^4+570 x^5+3336 x^6+8820 x^7+10212 x^8+3900 x^9+450 x^{10})}{e^9 x+3 e^6 x^3+3 e^3 x^5+x^7} \, dx\)
  3.23.16 \(\int \frac {e^{5+3 x-e^{\frac {x}{2 e^4+2 x}} x+x^2} (6 x^2+4 x^3+e^8 (6+4 x)+e^{\frac {x}{2 e^4+2 x}} (-2 e^8-5 e^4 x-2 x^2)+e^4 (12 x+8 x^2))}{2 e^8+4 e^4 x+2 x^2} \, dx\)
  3.23.17 \(\int -\frac {5}{50 x+20 e^{25} x \log (x)+2 e^{50} x \log ^2(x)} \, dx\)
  3.23.18 \(\int e^{-e^{4 x} x^2+4 e^{2 e^{4-e^{x^2}}+5 x} x^2-6 e^{4 e^{4-e^{x^2}}+6 x} x^2+4 e^{6 e^{4-e^{x^2}}+7 x} x^2-e^{8 e^{4-e^{x^2}}+8 x} x^2} (e^{4 x} (-6 x-12 x^2)+e^{8 e^{4-e^{x^2}}+8 x} (-6 x-24 x^2+48 e^{4-e^{x^2}+x^2} x^3)+e^{4 e^{4-e^{x^2}}+4 x} (144 e^{4-e^{x^2}+2 x+x^2} x^3+e^{2 x} (-36 x-108 x^2))+e^{2 e^{4-e^{x^2}}+2 x} (-48 e^{4-e^{x^2}+3 x+x^2} x^3+e^{3 x} (24 x+60 x^2))+e^{6 e^{4-e^{x^2}}+6 x} (-144 e^{4-e^{x^2}+x+x^2} x^3+e^x (24 x+84 x^2))) \, dx\)
  3.23.19 \(\int \frac {-20-2 x-30 x^2}{-10 x+x^2+5 x^3} \, dx\)
  3.23.20 \(\int \frac {e^x (4+(-4+4 x) \log (5 x))}{x^2} \, dx\)
  3.23.21 \(\int \frac {-e^{24+6 x-24 x^2-6 x^3}+2 e^{12+3 x-12 x^2-3 x^3}+e^{24+6 x-24 x^2-6 x^3} (-6 x+48 x^2+18 x^3) \log (x)+(-2+2 e^{12+3 x-12 x^2-3 x^3}+e^{12+3 x-12 x^2-3 x^3} (6 x-48 x^2-18 x^3) \log (x)) \log (\log (x))-\log ^2(\log (x))}{x} \, dx\)
  3.23.22 \(\int \frac {16 x^2+4 x^5+e^{1-x} (-12 x-4 x^2+2 x^5)+(8 x^2-4 x^5+e^{1-x} (-4 x+2 x^4)) \log (\frac {4 x-2 x^4+e^{1-x} (-2+x^3)}{x^3})}{(e^{1-x} (-2+x^3) \log ^2(2)+(4 x-2 x^4) \log ^2(2)) \log ^3(\frac {4 x-2 x^4+e^{1-x} (-2+x^3)}{x^3})} \, dx\)
  3.23.23 \(\int \frac {3 x^2+e^{\frac {625-450 x+131 x^2-18 x^3+x^4}{x}} (-625+131 x^2-36 x^3+3 x^4)}{x^2} \, dx\)
  3.23.24 \(\int \frac {e^{2-x} (-2-x)-\log (5)}{e^{2-x} (1+x)+(1+x) \log (5)} \, dx\)
  3.23.25 \(\int \frac {-19-4 e^3+e^x (48+24 x+3 x^2)}{204+83 x+8 x^2+e^3 (-4 x-x^2)+e^x (48+24 x+3 x^2)} \, dx\)
  3.23.26 \(\int \frac {2 x-e^{\frac {1}{x}} x+e^{\frac {1}{x}} (1-x) \log (x)}{4 x} \, dx\)
  3.23.27 \(\int \frac {e^4 (-x+\log (x)) (10-2 x+\log ^2(x))}{2 (10 x-2 x^2+x \log ^2(x))} \, dx\)
  3.23.28 \(\int \frac {16-12 x+e x-4 x^2+(12 x-e x+8 x^2) \log (x)}{80 x \log ^2(x)} \, dx\)
  3.23.29 \(\int \frac {36+72 x+48 x^3-4 x^4+8 x^5+(-9 x-6 x^3-x^5+e^{4 x} (6 x^3-x^3 \log (4))) \log ^2(\frac {e^{-4 x} (9+6 x^2+x^4+e^{4 x} (-6 x^2+x^2 \log (4)))}{x^2})}{(9 x+6 x^3+x^5+e^{4 x} (-6 x^3+x^3 \log (4))) \log ^2(\frac {e^{-4 x} (9+6 x^2+x^4+e^{4 x} (-6 x^2+x^2 \log (4)))}{x^2})} \, dx\)
  3.23.30 \(\int \frac {-4-4 e^6-2 x-4 x^2}{1+e^6+x^2} \, dx\)
  3.23.31 \(\int -\frac {1}{x^2} \, dx\)
  3.23.32 \(\int \frac {32 e^8+128 x^4+e^4 (24+128 x^2)}{9 x^3+16 e^8 x^3+48 x^5+64 x^7+e^4 (24 x^3+64 x^5)} \, dx\)
  3.23.33 \(\int \frac {-1+x+(-5+10 x) \log (x)+(1-2 x) \log (x) \log (\log (x))}{(x^2-2 x^3+x^4) \log (x)} \, dx\)
  3.23.34 \(\int \frac {56 x^2-8 x^3+(-160 x-8 x^2-16 x^3-32 x \log (2)) \log (x)+(100+20 x+30 x^2+(40+4 x+6 x^2) \log (2)+4 \log ^2(2)) \log ^2(x)}{16 x^2+(-40 x-8 x \log (2)) \log (x)+(25+10 \log (2)+\log ^2(2)) \log ^2(x)} \, dx\)
  3.23.35 \(\int \frac {-2268-486 x+(270 x+162 x^2) \log (x)+(-756 x+162 x^2) \log ^2(x)+(576 x+306 x^2) \log ^3(x)+(252+306 x-54 x^2) \log ^4(x)-54 x \log ^5(x)}{(2744 x+1764 x^2+378 x^3+27 x^4) \log ^3(x)} \, dx\)
  3.23.36 \(\int \frac {-9-x+60 x^2+4 x^3}{-x+4 x^3} \, dx\)
  3.23.37 \(\int \frac {32-12 x-2 x^2+e^x (-320-400 x-85 x^2-5 x^3)+16 \log (5 e^{-x} x^2)}{320+80 x+5 x^2} \, dx\)
  3.23.38 \(\int \frac {-1200 x^5+300 x^6}{4096-4608 x+1728 x^2-216 x^3-200 x^6+75 x^7} \, dx\)
  3.23.39 \(\int \frac {-3 x-x^2+e^{5+x} (-9 x-3 x^2)+(3 x+2 x^2+e^{5+x} (9+6 x)) \log (\frac {\log (5)}{3 e^{5+x}+x})}{45 e^{5+x}+15 x} \, dx\)
  3.23.40 \(\int \frac {e^{\frac {135 x}{-5 x^2+\log (x)}} (-270 x+1350 x^3+50 x^4+(270 x-20 x^2) \log (x)+2 \log ^2(x))}{375 x^4-150 x^2 \log (x)+15 \log ^2(x)} \, dx\)
  3.23.41 \(\int \frac {e^{\frac {e^{2+4 x}+(-x^2+x \log ^2(x)) \log (\log (5))}{\log (\log (5))}} (4 e^{2+4 x} x+(1-2 x^2+2 x \log (x)+x \log ^2(x)) \log (\log (5)))}{\log (\log (5))} \, dx\)
  3.23.42 \(\int \frac {-20-8 x^2}{5 x-x^2-2 x^3+x^2 \log (4)} \, dx\)
  3.23.43 \(\int \frac {15+5 x^2+e^{5+x-x^2} (-3+3 x-6 x^2)-15 \log (x)}{5 x^2} \, dx\)
  3.23.44 \(\int -\frac {2 e^3}{(-4 x+2 x^2+e^3 (2 x-x^2)+e^3 (-2 x+x^2) \log (\frac {2-x}{x})) \log (\frac {1}{2-e^3+e^3 \log (\frac {2-x}{x})})} \, dx\)
  3.23.45 \(\int \frac {-96+176 x-104 x^2}{16+4 x+13 x^2} \, dx\)
  3.23.46 \(\int \frac {4 x+10 x^2+12 x^3+4 x^4+(2+4 x+4 x^2) \log (x)}{x} \, dx\)
  3.23.47 \(\int \frac {-9+6 x-x^2+e^{e^x} (-3+e^x (-3 x+x^2))}{9-6 x+x^2} \, dx\)
  3.23.48 \(\int \frac {x (i \pi +\log (5))}{18 e^3} \, dx\)
  3.23.49 \(\int \frac {e (1+x)-e \log ^2(9)}{1-x-x^2+x^3+(6-6 x^2) \log ^2(9)+(9+9 x) \log ^4(9)+((2-2 x^2) \log ^2(9)+(6+6 x) \log ^4(9)) \log (1+x)+(1+x) \log ^4(9) \log ^2(1+x)} \, dx\)
  3.23.50 \(\int \frac {10 x-20 x \log (x)+(e^x (-2-2 x)-3 x-6 x^2+2 \log (3)) \log ^2(x)}{2 \log ^2(x)} \, dx\)
  3.23.51 \(\int \frac {4+x^2+x^4+3 x^4 \log (x)}{x^2} \, dx\)
  3.23.52 \(\int \frac {6250-18500 x-22250 x^2+14924 x^3+16596 x^4+3546 x^5-506 x^6-300 x^7-42 x^8-2 x^9+(-6250+19850 x+18400 x^2-18904 x^3-12908 x^4-962 x^5+700 x^6+160 x^7+10 x^8) \log (4)+(2500-8470 x-5690 x^2+8774 x^3+3418 x^4-300 x^5-220 x^6-20 x^7) \log ^2(4)+(-500+1798 x+780 x^2-1918 x^3-300 x^4+120 x^5+20 x^6) \log ^3(4)+(50-190 x-40 x^2+200 x^3-10 x^4-10 x^5) \log ^4(4)+(-2+8 x-8 x^3+2 x^4) \log ^5(4)}{-3125 x^3-3125 x^4-1250 x^5-250 x^6-25 x^7-x^8+(3125 x^3+2500 x^4+750 x^5+100 x^6+5 x^7) \log (4)+(-1250 x^3-750 x^4-150 x^5-10 x^6) \log ^2(4)+(250 x^3+100 x^4+10 x^5) \log ^3(4)+(-25 x^3-5 x^4) \log ^4(4)+x^3 \log ^5(4)} \, dx\)
  3.23.53 \(\int \frac {4 x^4+\frac {e^{8 x} (-8+8 x)}{x^8}+e^{3 x^2} (-16 x^4-24 x^6)+e^{x^2} (-16 x^4-8 x^6)+e^{4 x^2} (4 x^4+8 x^6)+e^{2 x^2} (24 x^4+24 x^6)+\frac {e^{6 x} (20 x-24 x^2+e^{x^2} (-20 x+24 x^2+8 x^3))}{x^6}+\frac {e^{4 x} (-12 x^2+24 x^3+e^{x^2} (24 x^2-48 x^3-24 x^4)+e^{2 x^2} (-12 x^2+24 x^3+24 x^4))}{x^4}+\frac {e^{2 x} (-4 x^3-8 x^4+e^{2 x^2} (-12 x^3-24 x^4-48 x^5)+e^{3 x^2} (4 x^3+8 x^4+24 x^5)+e^{x^2} (12 x^3+24 x^4+24 x^5))}{x^2}}{x} \, dx\)
  3.23.54 \(\int e^{-3 e^{-2+2 x+x^2}+8 x} (16+e^{-2+2 x+x^2} (-12-12 x)) \, dx\)
  3.23.55 \(\int \frac {-12150+22680 x-17550 x^2+7200 x^3-1650 x^4+200 x^5-10 x^6+e^5 (-768-768 x+2592 x^2-2016 x^3-735 x^4+1993 x^5-1350 x^6+450 x^7-75 x^8+5 x^9)}{-243+405 x-270 x^2+90 x^3-15 x^4+x^5} \, dx\)
  3.23.56 \(\int \frac {(-12-6 x-4 x^2+4 x^3+2 x^2 \log (x)) \log (\log (\frac {54-18 x-27 x^2+9 x^3+(-27 x+9 x^2) \log (x)}{x}))}{(54 x-18 x^2-27 x^3+9 x^4+(-27 x^2+9 x^3) \log (x)) \log (\frac {54-18 x-27 x^2+9 x^3+(-27 x+9 x^2) \log (x)}{x})} \, dx\)
  3.23.57 \(\int \frac {e^{-2 x} (-2 e^{2 x}-4 x^2+8 x^3)}{5 x^2} \, dx\)
  3.23.58 \(\int \frac {4 x^2+e^x (1-4 x+4 x^2)+(-6 x^2+12 x^3) \log (\frac {-5+10 x}{2 x})}{e^{3 x} (-1+2 x)+e^{2 x} (-6 x^2+12 x^3) \log (\frac {-5+10 x}{2 x})+e^x (-12 x^4+24 x^5) \log ^2(\frac {-5+10 x}{2 x})+(-8 x^6+16 x^7) \log ^3(\frac {-5+10 x}{2 x})} \, dx\)
  3.23.59 \(\int \frac {25+e+30 e^{2 x}+5 e^{4 x}}{25+e+10 e^{2 x}+e^{4 x}} \, dx\)
  3.23.60 \(\int \frac {25 x^4 \log ^4(\frac {4}{3})}{-32 e^{50}+5 x^5 \log ^4(\frac {4}{3})} \, dx\)
  3.23.61 \(\int \frac {1+2 x+e^{2 x-x^2} (2 x-2 x^3)}{x+x^2} \, dx\)
  3.23.62 \(\int (50 e x+75 x^2+e^{-1+e^{2 x}} (e+2 x+e^{2 x} (2 e x+2 x^2))) \, dx\)
  3.23.63 \(\int \frac {(-2 e x-2 e^{1+\frac {4}{x}} x) \log (x)+(e x+e^{1+\frac {4}{x}} x) \log ^2(x)+(-4 e x^2+e^{1+\frac {4}{x}} (16 x-4 x^2)+(e^{1+\frac {4}{x}} (-4+x)+e x) \log ^2(x)) \log (\frac {4 x-\log ^2(x)}{x})}{(-8 x^2+2 x \log ^2(x)) \log ^2(\frac {4 x-\log ^2(x)}{x})} \, dx\)
  3.23.64 \(\int \frac {25 x-25 x^2-44 x^3-12 x^4+(75+35 x+23 x^2+14 x^3+6 x^4) \log (3-x+x^2)}{375 x^2+175 x^3+85 x^4+80 x^5+20 x^6} \, dx\)
  3.23.65 \(\int (12+4 x-6 x^2+(24 x^2-16 x^3) \log ^2(8)+(16 x^3-10 x^4) \log ^4(8)) \, dx\)
  3.23.66 \(\int \frac {3 x^2+\log (3) (-x^2-16 \log ^4(\frac {125}{3}))}{x^2 \log (3)} \, dx\)
  3.23.67 \(\int \frac {32 x+60 x^2-8 x^3+e^4 (16 x+32 x^2)+(34+34 x^2+e^4 (16+16 x^2)) \log (1+x^2)}{64-16 x+65 x^2-16 x^3+x^4+e^8 (16+16 x^2)+e^4 (64-8 x+64 x^2-8 x^3)} \, dx\)
  3.23.68 \(\int \frac {e^4 (30+10 e^3)+e^4 (-30-10 e^3) \log (x)-50 e^4 \log ^2(x)}{63 x^2+42 e^3 x^2+7 e^6 x^2+(210 x^2+70 e^3 x^2) \log (x)+175 x^2 \log ^2(x)} \, dx\)
  3.23.69 \(\int \frac {x^3+(-24+3 x) \log (\log (2))}{x^3} \, dx\)
  3.23.70 \(\int \frac {6-2 x^2 \log ^3(x)}{x \log ^3(x)} \, dx\)
  3.23.71 \(\int \frac {x^2+(6 x+2 x^2) \log (3+x)}{(30+10 x+(3 x^2+x^3) \log (3+x)) \log (\frac {1}{5} (10+x^2 \log (3+x)))} \, dx\)
  3.23.72 \(\int \frac {3-x-3 e^2 x-2 x^2-3 \log (x)}{4 x^4+(-12 x^2+4 x^3+12 e^2 x^3) \log (x)+(9-6 x+x^2+9 e^4 x^2+e^2 (-18 x+6 x^2)) \log ^2(x)} \, dx\)
  3.23.73 \(\int \frac {64-48 x-84 x^2+23 x^3+42 x^4-24 x^5-8 x^6}{64 x-112 x^2-36 x^3+143 x^4-8 x^5-60 x^6+4 x^7+8 x^8} \, dx\)
  3.23.74 \(\int \frac {-512+1568 x+1630 x^2+622 x^3+110 x^4+8 x^5}{256 x+224 x^2+81 x^3+14 x^4+x^5} \, dx\)
  3.23.75 \(\int \frac {-384+(-384+3 x) \log (\frac {16 x}{-128+x})+e^{16/x} (2048-16 x) \log ^2(\frac {16 x}{-128+x})}{-1152+9 x+e^{16/x} (768 x-6 x^2) \log (\frac {16 x}{-128+x})+e^{32/x} (-128 x^2+x^3) \log ^2(\frac {16 x}{-128+x})} \, dx\)
  3.23.76 \(\int \frac {288 x^2+56 x^3+(-864 x^2-112 x^3) \log (x)+(-2592-1008 x-98 x^2) \log ^2(x)}{16 x^6+(288 x^4+56 x^5) \log (x)+(1296 x^2+504 x^3+49 x^4) \log ^2(x)} \, dx\)
  3.23.77 \(\int \frac {8 x-16 x^3-16 x^4+e^8 (-48 x^3-48 x^4)+e^{12} (16 x^3+16 x^4)+e^4 (-8 x+48 x^3+48 x^4)+(-4+24 x^2+16 x^3-8 x^4+e^8 (24 x^2-24 x^4)+e^{12} (8 x^3+8 x^4)+e^4 (-48 x^2-24 x^3+24 x^4)) \log (x)+(-12 x+12 x^3+e^4 (12 x-12 x^2-24 x^3)+e^8 (12 x^2+12 x^3)) \log ^2(x)+(2-4 x-6 x^2+e^4 (6 x+6 x^2)) \log ^3(x)+(1+x) \log ^4(x)+(16-32 x+32 e^4 x+(8-16 x+16 e^4 x) \log (x)) \log (2+\log (x))}{-16 x^4+48 e^4 x^4-48 e^8 x^4+16 e^{12} x^4+(24 x^3-8 x^4+8 e^{12} x^4+e^8 (24 x^3-24 x^4)+e^4 (-48 x^3+24 x^4)) \log (x)+(-12 x^2+12 x^3+12 e^8 x^3+e^4 (12 x^2-24 x^3)) \log ^2(x)+(2 x-6 x^2+6 e^4 x^2) \log ^3(x)+x \log ^4(x)} \, dx\)
  3.23.78 \(\int \frac {20 e^{2 x} x+4 x^2+(8+5 e^{2 x}+x^2) \log (\frac {1}{5} (8+5 e^{2 x}+x^2))}{(8 x+5 e^{2 x} x+x^3) \log (\frac {1}{5} (8+5 e^{2 x}+x^2))} \, dx\)
  3.23.79 \(\int e^{-405 e^{e^{e^{-4 x} x}}-3 x} (e^{4 x}+e^{e^{e^{-4 x} x}+e^{-4 x} x} (-405+1620 x)) \, dx\)
  3.23.80 \(\int \frac {97-25 x-18 x^2+50 x^3}{e (-54+1350 x-11250 x^2+31250 x^3)} \, dx\)
  3.23.81 \(\int \frac {2 x^3+81 e^{1+25 \log ^2(x)} (-1+50 \log (x))}{x^2} \, dx\)
  3.23.82 \(\int \frac {-15 x^2+6 x^3+3 x^2 \log (3)+(-5+3 x^2+\log (3)) \log (5)+\log ^2(5)}{6 x^2} \, dx\)
  3.23.83 \(\int \frac {e^{-1/x} (18 e^x x+18 x^2+216 e^{\frac {1}{x}} x^2+(9 x+9 x^2+108 e^{\frac {1}{x}} x^2+e^x (9+9 x^2)) \log (x^2))}{x^2} \, dx\)
  3.23.84 \(\int e^{-1+\frac {-4 e x+e^2 x^2+e^{2-x} (4 x^2+x^3)}{e}} (-4 e+2 e^2 x+e^{2-x} (8 x-x^2-x^3)) \, dx\)
  3.23.85 \(\int \frac {3200000+157920000 x-8016000 x^2-50474400 x^3+3458500 x^4+5861095 x^5-382279 x^6-327075 x^7+16455 x^8+9020 x^9-250 x^{10}-100 x^{11}+(16000000+793600000 x+158320000 x^2-212152000 x^3-35721500 x^4+20295420 x^5+3157836 x^6-843100 x^7-128320 x^8+13000 x^9+2000 x^{10}) \log (2)+(36000000+1793600000 x+755020000 x^2-297522000 x^3-141278375 x^4+12506655 x^5+8945779 x^6+142825 x^7-200080 x^8-12750 x^9+500 x^{10}) \log ^2(2)+(48000000+2400800000 x+1473960000 x^2-87026000 x^3-189454000 x^4-19666000 x^5+6379600 x^6+1104800 x^7-20000 x^8-8000 x^9) \log ^3(2)+(42000000+2107700000 x+1641415000 x^2+218779750 x^3-110363750 x^4-31152250 x^5-132150 x^6+590100 x^7+37500 x^8-1000 x^9) \log ^4(2)+(25200000+1268120000 x+1161199000 x^2+303876600 x^3-12267000 x^4-16160200 x^5-1834080 x^6+46000 x^7+12000 x^8) \log ^5(2)+(10500000+529550000 x+542741250 x^2+190450250 x^3+20061750 x^4-2765350 x^5-724040 x^6-33500 x^7+1000 x^8) \log ^6(2)+(3000000+151550000 x+167710000 x^2+68994000 x^3+12198000 x^4+560000 x^5-84000 x^6-8000 x^7) \log ^7(2)+(562500+28446875 x+33026875 x^2+14815125 x^3+3162375 x^4+305000 x^5+6750 x^6-500 x^7) \log ^8(2)+(62500+3162500 x+3757500 x^2+1750500 x^3+400000 x^4+45000 x^5+2000 x^6) \log ^9(2)+(3125+158125 x+187875 x^2+87525 x^3+20000 x^4+2250 x^5+100 x^6) \log ^{10}(2)}{3200000-2080000 x-16000 x^2+245600 x^3-29500 x^4-9625 x^5+1625 x^6+125 x^7-25 x^8+(16000000-6400000 x-1680000 x^2+808000 x^3+54500 x^4-34500 x^5-500 x^6+500 x^7) \log (2)+(36000000-6400000 x-4980000 x^2+678000 x^3+241625 x^4-20625 x^5-4125 x^6+125 x^7) \log ^2(2)+(48000000+800000 x-6040000 x^2-226000 x^3+226000 x^4+10000 x^5-2000 x^6) \log ^3(2)+(42000000+7700000 x-3585000 x^2-670250 x^3+66250 x^4+11250 x^5-250 x^6) \log ^4(2)+(25200000+8120000 x-801000 x^2-413400 x^3-11000 x^4+3000 x^5) \log ^5(2)+(10500000+4550000 x+241250 x^2-107250 x^3-10250 x^4+250 x^5) \log ^6(2)+(3000000+1550000 x+210000 x^2-6000 x^3-2000 x^4) \log ^7(2)+(562500+321875 x+58125 x^2+2625 x^3-125 x^4) \log ^8(2)+(62500+37500 x+7500 x^2+500 x^3) \log ^9(2)+(3125+1875 x+375 x^2+25 x^3) \log ^{10}(2)} \, dx\)
  3.23.86 \(\int \frac {24-39 x+46 x^2-27 x^3+(-3+5 x-5 x^2+3 x^3) \log (\frac {3-2 x+3 x^2}{-3 x+3 x^2})}{-9 x^2+15 x^3-15 x^4+9 x^5} \, dx\)
  3.23.87 \(\int \frac {-4 x+e^{\frac {-20-x-4 x^2+4 x^3}{4 x}} (20-4 x-4 x^2+8 x^3)+(-4 x-4 e^{\frac {-20-x-4 x^2+4 x^3}{4 x}} x) \log (1+e^{\frac {-20-x-4 x^2+4 x^3}{4 x}})}{x^3+e^{\frac {-20-x-4 x^2+4 x^3}{4 x}} x^3} \, dx\)
  3.23.88 \(\int \frac {544}{3} e^{\frac {136 x^4}{3}} x^3 \, dx\)
  3.23.89 \(\int \frac {39-9 \log (4+e^2)}{169-78 e^2 x+9 e^4 x^2+(-78+18 e^2 x) \log (4+e^2)+9 \log ^2(4+e^2)} \, dx\)
  3.23.90 \(\int \frac {1}{2} e^{6 x+e^{6 x} (e^{-6 x} (4-2 x)+x)} (-x-5 x^2+6 x^3+e^{-6 x} (-1+4 x-2 x^2)) \, dx\)
  3.23.91 \(\int (2+e^{-1+5 x-3 x^2} (-10+12 x)) \, dx\)
  3.23.92 \(\int \frac {-9+1048576 e^{5-5 e^x-5 x} (-1-5 x-5 e^x x)+\log (x)}{2 x^2} \, dx\)
  3.23.93 \(\int \frac {17 e^{-2/x}+x^2}{x^2} \, dx\)
  3.23.94 \(\int \frac {e^x (3 x^2-6 x^3+3 x^4+(9 x-3 x^2-6 x^3) \log (2)+(-12+9 x+3 x^2) \log ^2(2)) \log (\frac {x-x^2+(4+x) \log (2)}{-x+\log (2)})+\log ^{\frac {x}{3}}(\frac {x-x^2+(4+x) \log (2)}{-x+\log (2)}) (-x^5+(-5 x^3+2 x^4) \log (2)-x^3 \log ^2(2)+(x^4-x^5+(3 x^3+2 x^4) \log (2)+(-4 x^2-x^3) \log ^2(2)) \log (\frac {x-x^2+(4+x) \log (2)}{-x+\log (2)}) \log (\log (\frac {x-x^2+(4+x) \log (2)}{-x+\log (2)})))}{(-3 x^4+3 x^5+(-9 x^3-6 x^4) \log (2)+(12 x^2+3 x^3) \log ^2(2)) \log (\frac {x-x^2+(4+x) \log (2)}{-x+\log (2)})} \, dx\)
  3.23.95 \(\int \frac {-360+8 x+e^4 (-1800-40 e^2+80 x)+e^8 (-200 e^2+200 x)}{75 e^8} \, dx\)
  3.23.96 \(\int e^{-x} (-3+e^{\frac {1}{3} (59-42 x+15 x^2)} (-15+10 x)) \, dx\)
  3.23.97 \(\int (4+8 x+(18+8 x) \log (2)+(8+2 x) \log ^2(2)+(-4-2 \log (2)) \log (3)+(-4-2 \log (2)) \log (\log (3))) \, dx\)
  3.23.98 \(\int -\frac {5}{(-4+x) \log ^2(-4+x)} \, dx\)
  3.23.99 \(\int \frac {-32-8 x+8 x^2+(32+8 x^2) \log (x)}{x^2} \, dx\)
  3.23.100 \(\int \frac {-2-3 e^3+e^x-4 x+(-8+2 e^x) \log (\frac {1}{3} (2+3 e^3-e^x+4 x))}{12+e^3 (18-3 x)+e^x (-6+x)+22 x-4 x^2+(-2-3 e^3+e^x-4 x) \log ^2(\frac {1}{3} (2+3 e^3-e^x+4 x))} \, dx\)