3.86 Integrals 8501 to 8600

  3.86.1 \(\int \frac {-64 x-60 x \log (x)+e^x (30 x-32 x^2) \log ^2(x)+(64 x+128 x \log (x)+e^x (-64 x+32 x^2) \log ^2(x)) \log (\frac {2-e^x \log (x)}{\log (x)})+(-64 x \log (x)+32 e^x x \log ^2(x)) \log ^2(\frac {2-e^x \log (x)}{\log (x)})}{-2 \log (x)+e^x \log ^2(x)} \, dx\)
  3.86.2 \(\int \frac {18 x-10 x^3+e^5 (-12-2 x^3)}{(e^{10} x^3-2 e^5 x^4+x^5) \log (\frac {\log ^2(5)}{4})} \, dx\)
  3.86.3 \(\int \frac {e}{(-8+x) (-16+2 x)} \, dx\)
  3.86.4 \(\int \frac {80 x-320 x^2+360 x^3-160 x^4+25 x^5+(4-4 x) \log (e^{-x} x)}{x} \, dx\)
  3.86.5 \(\int \frac {-12+4 x+(-4 x-24 x^3+8 x^4) \log (x)+(-36 x^3+8 x^4) \log ^2(x)}{9 x-6 x^2+x^3} \, dx\)
  3.86.6 \(\int \frac {-4+8 x \log (2)}{\log (2)} \, dx\)
  3.86.7 \(\int \frac {2 x-6 x^2+4 x^3+16 x^4+256 e^{3 x} x^4-256 x^7+e^{2 x} (48 x^3-32 x^4-768 x^5)+e^x (-1+x+4 x^2-20 x^3-48 x^4+32 x^5+768 x^6)}{128 e^{3 x} x^3-384 e^{2 x} x^4+384 e^x x^5-128 x^6} \, dx\)
  3.86.8 \(\int (-3+e^{20+24 x-4 x^5} (72-60 x^4)) \, dx\)
  3.86.9 \(\int \frac {-30+60 x-32 x^2+4 x^3-2 x^4+e^x (33+27 x-33 x^2+3 x^3)}{6-12 x+6 x^2} \, dx\)
  3.86.10 \(\int \frac {e^{-x} (e^x (1-x)+2 x^2-x^3)}{x} \, dx\)
  3.86.11 \(\int \frac {-30 \log ^2(x)+e^{\frac {-2 x+x^2+3 x \log (x)}{30 \log (x)}} (2 x-x^2+(-2 x+2 x^2) \log (x)+(30+3 x) \log ^2(x))}{30 x^2 \log ^2(x)-60 e^{\frac {-2 x+x^2+3 x \log (x)}{30 \log (x)}} x^2 \log ^2(x)+30 e^{\frac {-2 x+x^2+3 x \log (x)}{15 \log (x)}} x^2 \log ^2(x)} \, dx\)
  3.86.12 \(\int \frac {1+e^{512-512 x+192 x^2-32 x^3+2 x^4} (16-4 e^x)+4 x^2-e^x x^2+e^{256-256 x+96 x^2-16 x^3+x^4} (512-400 x+4 e^x x+96 x^2-8 x^3)}{16 e^{512-512 x+192 x^2-32 x^3+2 x^4}-16 e^{256-256 x+96 x^2-16 x^3+x^4} x+4 x^2} \, dx\)
  3.86.13 \(\int \frac {3 e^{10}+x+3 x^2+e^5 (7+6 x)+e^5 \log (x)}{10 e^{10}+20 e^5 x+10 x^2} \, dx\)
  3.86.14 \(\int \frac {-x^2-e^{10 x-2 x^2} \log (5)-x^2 \log (5)+e^{5 x-x^2} (-5 x^2+2 x^3-2 x \log (5))}{x^3+e^{10 x-2 x^2} x \log (5)+x^3 \log (5)+e^{5 x-x^2} (x^2+2 x^2 \log (5))} \, dx\)
  3.86.15 \(\int \frac {1}{3} e^{-e^{e^x}} (-e^{e^{e^x}}-e^{1+x}+e^{e^x} (-6 e^x+e^{1+2 x})) \, dx\)
  3.86.16 \(\int \frac {-5 x+6 x^3-x^3 \log (x)+(-30 x+5 x \log (x)) \log (6-\log (x))+(-12 x^3+2 x^3 \log (x)+(-60 x+10 x \log (x)) \log (6-\log (x))) \log (\frac {x^2+5 \log (6-\log (x))}{x})}{(-6 x^2+x^2 \log (x)+(-30+5 \log (x)) \log (6-\log (x))) \log ^2(\frac {x^2+5 \log (6-\log (x))}{x})} \, dx\)
  3.86.17 \(\int \frac {(8+2 e^2-2 x) \log (5)+(-54-3 e^4+24 x-3 x^2+e^2 (-24+6 x)-3 \log (4)) \log (18+e^4+e^2 (8-2 x)-8 x+x^2+\log (4)) \log ^2(\log (18+e^4+e^2 (8-2 x)-8 x+x^2+\log (4)))}{(18+e^4+e^2 (8-2 x)-8 x+x^2+\log (4)) \log (18+e^4+e^2 (8-2 x)-8 x+x^2+\log (4)) \log ^2(\log (18+e^4+e^2 (8-2 x)-8 x+x^2+\log (4)))} \, dx\)
  3.86.18 \(\int \frac {4 x \log ^2(5)+(2 x^2+4 x^3+2 x^2 \log ^2(5)) \log (\frac {x^2}{4})+(4 \log ^2(5)+(2 x+4 x^2+2 x \log ^2(5)) \log (\frac {x^2}{4})) \log (e^{\frac {-1+x+x^2}{\log ^2(5)}} \log (\frac {x^2}{4}))}{x \log ^2(5) \log (\frac {x^2}{4})} \, dx\)
  3.86.19 \(\int \frac {4 x-x^2+e^x (-4 x+x^2)+e^{e^x} (-x^2+e^{2 x} (-4 x+x^2)+e^x (x+4 x^2-x^3))+(-2 e^x+2 x) \log (\frac {x}{5})+(e^x x-x^2) \log (-e^x+x)}{e^x x-x^2} \, dx\)
  3.86.20 \(\int \frac {-4+4 \log (x)+(5-4 x) \log ^2(x)}{4 \log ^2(x)} \, dx\)
  3.86.21 \(\int e^{-10-2 e^{2 x^2}} (-14 e^{10+2 e^{2 x^2}}+9 x^2-24 e^{2 x^2} x^4) \, dx\)
  3.86.22 \(\int e^{-e^{4 x}} (e^{2 e^{-e^{4 x}} (x+e^{e^{4 x}} \log (2))} (2-8 e^{4 x} x)+e^{e^{4 x}} (6 e^{6 x}+8 x+e^{3 x} (4+12 x))+e^{e^{-e^{4 x}} (x+e^{e^{4 x}} \log (2))} (-2 e^{3 x}+e^{e^{4 x}} (-4-6 e^{3 x})-4 x+e^{4 x} (8 e^{3 x} x+16 x^2))) \, dx\)
  3.86.23 \(\int \frac {(80-40 x-2 x^2+x^3) \log (-2+x)+e^{3 e^x+x} (-60 x^2+30 x^3) \log (-2+x)+(-40 x-10 e^{3 e^x} x^2-x^3) \log (\frac {40+10 e^{3 e^x} x+x^2}{x})}{e^{3 e^x} (-20 x^2+10 x^3) \log ^2(-2+x)+(-80 x+40 x^2-2 x^3+x^4) \log ^2(-2+x)} \, dx\)
  3.86.24 \(\int (20 e^x-20 \log (x)) \, dx\)
  3.86.25 \(\int \frac {1}{5} (7+e^3+14 x-15 x^2) \, dx\)
  3.86.26 \(\int (-2-2 x) \, dx\)
  3.86.27 \(\int \frac {10 x+(3 x+2 e^2 x+3 x^2) \log (5)-2 x \log (5) \log (x)}{2 \log (5)} \, dx\)
  3.86.28 \(\int \frac {-3+x-3 x^2+2 x^3+e^3 (-1+2 x)+e^{2 x} (x+x^2)+e^x (-2 x+2 x^2+x^3+e^3 (1+x))}{10+2 e^6-12 x+2 x^2+2 e^{2 x} x^2-4 x^3+2 x^4+e^3 (-4 x+4 x^2)+e^x (4 e^3 x-4 x^2+4 x^3)} \, dx\)
  3.86.29 \(\int \frac {-405 x \log (x)+90 x \log (x) \log (\log (x))-5 x \log (x) \log ^2(\log (x))+e^{-\frac {4 e^x}{-9+\log (\log (x))}} (-20 e^x-180 e^x x \log (x)+20 e^x x \log (x) \log (\log (x)))}{(729 e^2 x-486 e x^2+81 x^3) \log (x)+(-162 e^2 x+108 e x^2-18 x^3) \log (x) \log (\log (x))+(9 e^2 x-6 e x^2+x^3) \log (x) \log ^2(\log (x))+e^{-\frac {8 e^x}{-9+\log (\log (x))}} (81 x \log (x)-18 x \log (x) \log (\log (x))+x \log (x) \log ^2(\log (x)))+e^{-\frac {4 e^x}{-9+\log (\log (x))}} ((-486 e x+162 x^2) \log (x)+(108 e x-36 x^2) \log (x) \log (\log (x))+(-6 e x+2 x^2) \log (x) \log ^2(\log (x)))} \, dx\)
  3.86.30 \(\int \frac {e^{-x} (27+45 x+21 x^2+3 x^3+e^x (-20 x^2-12 x^3-2 x^4))}{9 x^2+6 x^3+x^4} \, dx\)
  3.86.31 \(\int \frac {e^{\frac {-4-9 x-8 x^2+x^3}{2 x+2 x^2}} (4+12 x+9 x^2+6 x^3+x^4)}{4+8 x+4 x^2} \, dx\)
  3.86.32 \(\int \frac {-576 x^2+192 x^3+(-144+96 x-144 x^2-624 x^3+240 x^4) \log (1+x^2)+(120 x^2+120 x^4) \log ^2(1+x^2)+(225 x^2+225 x^4) \log ^3(1+x^2)}{(144 x^2-96 x^3+160 x^4-96 x^5+16 x^6) \log ^3(1+x^2)} \, dx\)
  3.86.33 \(\int \frac {-45+e^x (-9+9 x)+9 \log (3)+e^{\frac {1}{9} (16 x+8 x^2+x^3)} (-80-80 x-15 x^2+e^x (-7-16 x-3 x^2)+(16+16 x+3 x^2) \log (3))}{225+9 e^{2 x}+e^x (90-18 \log (3))-90 \log (3)+9 \log ^2(3)} \, dx\)
  3.86.34 \(\int (514-342 x+e^{24} (-27+18 x)+(27-18 x) \log (\log (3))) \, dx\)
  3.86.35 \(\int \frac {-192+144 x-36 x^2+3 x^3+e^{10-2 x} (-384+288 x-72 x^2+6 x^3)+e^{5-x} (72-42 x+6 x^2) \log (5)+6 \log ^2(5)}{-64+48 x-12 x^2+x^3} \, dx\)
  3.86.36 \(\int \frac {e^{\frac {-3 x^3+(x-4 x^2) \log (3)}{3 x+4 \log (3)}} (90 x^2-180 x^4+(240 x-480 x^3) \log (3)+(160+40 x-320 x^2) \log ^2(3))}{9 e^2 x^2+24 e^2 x \log (3)+16 e^2 \log ^2(3)} \, dx\)
  3.86.37 \(\int \frac {4 x^2+(-6 x+2 x^2) \log (\frac {2}{-3+x})+(6 x-2 x^2) \log ^5(\frac {2}{-3+x})}{(-9+3 x) \log ^5(\frac {2}{-3+x})} \, dx\)
  3.86.38 \(\int \frac {e^x (-15-23 x+14 x^2+2 x^4+2 x^5)}{x^4} \, dx\)
  3.86.39 \(\int \frac {270-150 x+399 x^2-180 x^3+25 x^4+e^{2 x} (324-180 x+25 x^2)+e^x (465+303 x-285 x^2+50 x^3)}{e^{5+2 x} (324-180 x+25 x^2)+e^{5+x} (648 x-360 x^2+50 x^3)+e^5 (324 x^2-180 x^3+25 x^4)} \, dx\)
  3.86.40 \(\int \frac {1+2 x^2}{-3 x+x^3+x \log (x)} \, dx\)
  3.86.41 \(\int \frac {720+476 x-1680 x^2-1404 x^3-358 x^4-30 x^5+(40-202 x-180 x^2-47 x^3-4 x^4) \log (4)}{128+96 x+24 x^2+2 x^3} \, dx\)
  3.86.42 \(\int \frac {-3-8 x^2}{x} \, dx\)
  3.86.43 \(\int \frac {e^{\frac {4+5 x-40 x^2+8 e^x x^2+(13 x^2-e^x x^2) \log (x)-x^2 \log ^2(x)}{-8 x^2+x^2 \log (x)}} (60+35 x-64 x^2-64 e^x x^3+(-8-5 x+16 x^2+16 e^x x^3) \log (x)+(-x^2-e^x x^3) \log ^2(x))}{64 x^3-16 x^3 \log (x)+x^3 \log ^2(x)} \, dx\)
  3.86.44 \(\int \frac {-70-20 x-x^2}{300+60 x+3 x^2} \, dx\)
  3.86.45 \(\int \frac {-2+2 x+20 x^3+30 x^4-80 x^6-100 x^7-225 x^8+160 x^9-40 x^{10}-150 x^{11}-160 x^{12}+240 x^{13}+64 x^{15}-64 x^{16}+e^{36/x} (20 x^9-20 x^{10})+e^{40/x} (-2 x^{10}+2 x^{11})+e^{28/x} (240 x^7-240 x^8-160 x^{10}+160 x^{11})+e^{20/x} (504 x^5-504 x^6-1920 x^8+1020 x^9+480 x^{11}-480 x^{12})+e^{32/x} (-90 x^8+90 x^9+20 x^{11}-20 x^{12})+e^{24/x} (-420 x^6+420 x^7+720 x^9-550 x^{10}-80 x^{12}+80 x^{13})+e^{12/x} (240 x^3-240 x^4-2720 x^6+520 x^7+3520 x^9-1360 x^{10}-640 x^{12}+640 x^{13})+e^{4/x} (20 x-20 x^2-320 x^4-100 x^5+1120 x^7+880 x^8+250 x^9-1280 x^{10}+560 x^{11}+320 x^{13}-320 x^{14})+e^{16/x} (-420 x^4+420 x^5+3000 x^7-1050 x^8-1840 x^{10}+1180 x^{11}+160 x^{13}-160 x^{14})+e^{8/x} (-90 x^2+90 x^3+1360 x^5-10 x^6-3120 x^8-200 x^9-25 x^{10}+1600 x^{11}-1000 x^{12}-160 x^{14}+160 x^{15})}{1-10 x^3+40 x^6-80 x^9-10 e^{36/x} x^9+e^{40/x} x^{10}+80 x^{12}-32 x^{15}+e^{28/x} (-120 x^7+80 x^{10})+e^{20/x} (-252 x^5+560 x^8-240 x^{11})+e^{32/x} (45 x^8-10 x^{11})+e^{24/x} (210 x^6-280 x^9+40 x^{12})+e^{12/x} (-120 x^3+560 x^6-800 x^9+320 x^{12})+e^{4/x} (-10 x+80 x^4-240 x^7+320 x^{10}-160 x^{13})+e^{16/x} (210 x^4-700 x^7+600 x^{10}-80 x^{13})+e^{8/x} (45 x^2-280 x^5+600 x^8-480 x^{11}+80 x^{14})} \, dx\)
  3.86.46 \(\int \frac {e^{-2/x} (-12 x+e^{\frac {2}{x}+x} (e^2 (2-x)+4 x^3))}{2 x^3} \, dx\)
  3.86.47 \(\int (3 x^2+e^{e^{e^x}} (5+5 e^{e^x+x} x)+5 \log (3)) \, dx\)
  3.86.48 \(\int \frac {-128 x+4 x^2+(-64-2 x^2) \log (x)+(-64+64 x-2 x^2+2 x^3+(64+2 x^2) \log (x)) \log (-1+x+\log (x))}{-32 x+32 x^2+x^3-x^4+(32 x-x^3) \log (x)+(32 x-32 x^2-x^3+x^4+(-32 x+x^3) \log (x)) \log (-1+x+\log (x))} \, dx\)
  3.86.49 \(\int \frac {-4+e^{e^x-x+x^2} (2-e^{2+2 x}+e^x (e^2 (2-2 x)-2 x)+2 x-4 x^2)+2 \log (5)+e^x (e^2 (-3+x)+e^2 \log (5))}{4+e^{2 e^x-2 x+2 x^2}-4 x+x^2+(-4+2 x) \log (5)+\log ^2(5)+e^{e^x-x+x^2} (-4+2 x+2 \log (5))} \, dx\)
  3.86.50 \(\int \frac {3 \log ^2(x)+e^{\frac {-x^2+(6 x+13 x^2+18 x^3+12 x^4+3 x^5) \log (x)}{3 \log (x)}} (x-2 x \log (x)+(6+26 x+54 x^2+48 x^3+15 x^4) \log ^2(x))}{3 \log ^2(x)} \, dx\)
  3.86.51 \(\int \frac {e^{-\frac {19-40 x+20 x^2+e^{16} (-4+4 x)+e^{32} (-4+8 x-4 x^2)}{4-8 x+4 x^2}} (-1+e^{16} (-2+2 x)+e^{\frac {19-40 x+20 x^2+e^{16} (-4+4 x)+e^{32} (-4+8 x-4 x^2)}{4-8 x+4 x^2}} (2-6 x+6 x^2-2 x^3))}{-2+6 x-6 x^2+2 x^3} \, dx\)
  3.86.52 \(\int \frac {e^{16}+x^2}{x^2} \, dx\)
  3.86.53 \(\int \frac {e^{2+e^{\frac {e^x+2 x}{x}}+x+\frac {e^x+2 x}{x}} (-3+3 x) \log (2)}{x^2} \, dx\)
  3.86.54 \(\int \frac {-50+x \log ^3(x)+162 \log ^4(x)}{x \log ^3(x)} \, dx\)
  3.86.55 \(\int \frac {e^{4-\frac {20+9 x-16 x^4-4 x^5+(4+x) \log (3 x)}{4+x}} (-16-24 x-x^2+256 x^4+128 x^5+16 x^6)}{16 x+8 x^2+x^3} \, dx\)
  3.86.56 \(\int \frac {1}{2} (4+\log (x^2)) \, dx\)
  3.86.57 \(\int \frac {225+91 x+9 x^2}{225 x+90 x^2+9 x^3} \, dx\)
  3.86.58 \(\int \frac {e^{-\frac {-20 x-e^x x-2 x^2+2 x \log (\frac {5}{2})}{-10-x+\log (\frac {5}{2})}} (400-720 x-156 x^2-8 x^3+(-80+152 x+16 x^2) \log (\frac {5}{2})+(4-8 x) \log ^2(\frac {5}{2})+e^x (-40 x-40 x^2-4 x^3+(4 x+4 x^2) \log (\frac {5}{2})))}{1500+300 x+15 x^2+(-300-30 x) \log (\frac {5}{2})+15 \log ^2(\frac {5}{2})} \, dx\)
  3.86.59 \(\int \frac {e^{x-x^2 \log ^2(\frac {1}{16+8 \log (x-x \log (4))+\log ^2(x-x \log (4))})} (4+\log (x-x \log (4))+4 x \log (\frac {1}{16+8 \log (x-x \log (4))+\log ^2(x-x \log (4))})+(-8 x-2 x \log (x-x \log (4))) \log ^2(\frac {1}{16+8 \log (x-x \log (4))+\log ^2(x-x \log (4))}))}{4+\log (x-x \log (4))} \, dx\)
  3.86.60 \(\int \frac {2916 x-2916 x^2+e^3 (-972 x^2+972 x^3)+e^6 (108 x^3-108 x^4)+e^9 (-4 x^4+4 x^5)+(x^2)^{10+2 x} (58320+8748 x+e^3 (-19440 x-2916 x^2)+e^6 (2160 x^2+324 x^3)+e^9 (-80 x^3-12 x^4)+(5832 x-1944 e^3 x^2+216 e^6 x^3-8 e^9 x^4) \log (x^2))+(e^3 (972 x-972 x^2)+e^6 (-216 x^2+216 x^3)+e^9 (12 x^3-12 x^4)+(x^2)^{10+2 x} (e^3 (19440+2916 x)+e^6 (-4320 x-648 x^2)+e^9 (240 x^2+36 x^3)+(1944 e^3 x-432 e^6 x^2+24 e^9 x^3) \log (x^2))) \log (x+(x^2)^{10+2 x})+(e^6 (108 x-108 x^2)+e^9 (-12 x^2+12 x^3)+(x^2)^{10+2 x} (e^6 (2160+324 x)+e^9 (-240 x-36 x^2)+(216 e^6 x-24 e^9 x^2) \log (x^2))) \log ^2(x+(x^2)^{10+2 x})+(e^9 (4 x-4 x^2)+(x^2)^{10+2 x} (e^9 (80+12 x)+8 e^9 x \log (x^2))) \log ^3(x+(x^2)^{10+2 x})}{e^9 x^2+e^9 x (x^2)^{10+2 x}} \, dx\)
  3.86.61 \(\int \frac {e^{e^{e^x}-e^{2+x^2}+e^{e^{e^x}-e^{2+x^2}} (16+x-8 \log (x)+\log ^2(x))} (-8+x+e^{2+x^2} (-32 x^2-2 x^3)+(2+16 e^{2+x^2} x^2) \log (x)-2 e^{2+x^2} x^2 \log ^2(x)+e^{e^x} (e^x (16 x+x^2)-8 e^x x \log (x)+e^x x \log ^2(x)))}{x} \, dx\)
  3.86.62 \(\int \frac {1}{2} (15 e^4+30 e^6+15 e^8) \, dx\)
  3.86.63 \(\int (6 e^{\frac {2}{3} (-4+3 e^5+3 x^3)} x^2-12 e^{2+\frac {1}{3} (-4+3 e^5+3 x^3)} x^2) \, dx\)
  3.86.64 \(\int \frac {e^{\frac {x^2+\log (x)}{x}} ((120-240 x+120 x^2) \log (2)-120 \log (2) \log (x))}{x^4} \, dx\)
  3.86.65 \(\int (-3 x^2+5^x (e^{-x^2} x)^x (1-2 x^2+\log (5 e^{-x^2} x))+2 \log (\log (4))) \, dx\)
  3.86.66 \(\int \frac {-1+3 x+256 x^2+(2 x^2-9 x^3-1024 x^4) \log (x)+(3 x+512 x^2) \log (x) \log (\log (x))}{(x^3-3 x^4-256 x^5) \log (x)+(-x+3 x^2+256 x^3) \log (x) \log (\log (x))} \, dx\)
  3.86.67 \(\int \frac {e^{\frac {1}{18} (225-30 x+x^2)} (e^{3 x} (60-4 x)+15 x^3-x^4+e^{2 x} (36+84 x-8 x^2)+e^x (18 x+57 x^2-5 x^3))}{225 e^{3 x}+675 e^{2 x} x+675 e^x x^2+225 x^3} \, dx\)
  3.86.68 \(\int \frac {e^{\frac {4+8 x+4 x^2}{x^2+e^{x^2} (2 x-2 x^2)+e^{2 x^2} (1-2 x+x^2)}} (8+8 x+e^{x^2} (-16+16 x^2-16 x^3-16 x^4))}{-x^3+e^{2 x^2} (-3 x+6 x^2-3 x^3)+e^{3 x^2} (-1+3 x-3 x^2+x^3)+e^{x^2} (-3 x^2+3 x^3)} \, dx\)
  3.86.69 \(\int \frac {-2 e^{25-x} x^2-20 \log (x) \log (x^2)+(-5+5 \log (x)) \log ^2(x^2)}{10 x^2} \, dx\)
  3.86.70 \(\int \frac {x+5 x^2+5 e^x x^2-\log (-e^x)}{5 x^2} \, dx\)
  3.86.71 \(\int \frac {e^3 (1-34 x)-3 x^2+6 x^3-105 x^4+102 x^5-867 x^6}{1-2 x+35 x^2-34 x^3+289 x^4} \, dx\)
  3.86.72 \(\int \frac {e^2-10 x-9 x^2}{e^2} \, dx\)
  3.86.73 \(\int \frac {45-3 x+x^2+(-30 x+2 x^2) \log (60-4 x)}{-15+x} \, dx\)
  3.86.74 \(\int \frac {3+2 x-36 x^3-12 x^4+e^4 (-1+12 x^3)+(-36 x^3+12 e^4 x^3-12 x^4) \log (3 x-e^4 x+x^2)+(-9 x^3+3 e^4 x^3-3 x^4) \log ^2(3 x-e^4 x+x^2)}{-12 x+4 e^4 x-4 x^2+(-12 x+4 e^4 x-4 x^2) \log (3 x-e^4 x+x^2)+(-3 x+e^4 x-x^2) \log ^2(3 x-e^4 x+x^2)} \, dx\)
  3.86.75 \(\int \frac {15+30 x+5 x^2+8 x^3+x^4-2 x^5}{x^2+2 x^3+x^4} \, dx\)
  3.86.76 \(\int (-1+6 e^{3 x}+5 e^{5 x}+e^{2 x} (7+2 x)) \, dx\)
  3.86.77 \(\int \frac {e^{\frac {4 x+x^3-x^4+x^2 \log (4 e^x+e^x \log (x^2))}{-4+x^3}} (-128-16 x-128 x^2+64 x^3+4 x^4+8 x^5-8 x^6+(-32-32 x^2+16 x^3+2 x^5-2 x^6) \log (x^2)+(-64 x-8 x^4+(-16 x-2 x^4) \log (x^2)) \log (4 e^x+e^x \log (x^2)))}{64-32 x^3+4 x^6+(16-8 x^3+x^6) \log (x^2)} \, dx\)
  3.86.78 \(\int \frac {-36-12 x^2 \log ^2(3)+(-36 x \log (3)-4 x^3 \log ^3(3)) \log (4)+(-24-12 x^2 \log ^2(3)) \log ^2(4)-12 x \log (3) \log ^3(4)-4 \log ^4(4)+(-12-4 x^2 \log ^2(3)-8 x \log (3) \log (4)-4 \log ^2(4)) \log (x)+(24+4 x^2 \log ^2(3)+12 x \log (3) \log (4)+8 \log ^2(4)) \log ^2(x)+4 \log ^3(x)-4 \log ^4(x)}{x^5} \, dx\)
  3.86.79 \(\int \frac {11 x^2-22 x^3+11 x^4+x^{\frac {1}{-x+x^2}} (-1+x+(1-2 x) \log (x))}{5 x^2-10 x^3+5 x^4} \, dx\)
  3.86.80 \(\int \frac {-5-x-2 x \log (3)+(10+2 x) \log (3) \log (5+x)}{10 x^2+2 x^3} \, dx\)
  3.86.81 \(\int \frac {e^{2 x} (-3-6 x)+9 x^2+e^{-3+e^x} (-3-3 e^x x-3 \log (x))+(-3 e^{2 x}+3 x^2) \log (x)+(-3 e^{-3+e^x}-3 e^{2 x}+3 x^2) \log (-e^{-3+e^x}-e^{2 x}+x^2)}{(-3 e^{2 x} x+3 x^3) \log (x)+(e^{2 x} x^2-x^4) \log ^2(x)+e^{-3+e^x} (-3 x \log (x)+x^2 \log ^2(x))+(-3 e^{2 x} x+3 x^3+(2 e^{2 x} x^2-2 x^4) \log (x)+e^{-3+e^x} (-3 x+2 x^2 \log (x))) \log (-e^{-3+e^x}-e^{2 x}+x^2)+(e^{-3+e^x} x^2+e^{2 x} x^2-x^4) \log ^2(-e^{-3+e^x}-e^{2 x}+x^2)} \, dx\)
  3.86.82 \(\int \frac {-391+16 x+(92-4 x) \log (23-x)+(-92+4 x) \log (x)}{-92 x+4 x^2+(23 x-x^2) \log (23-x)+(-23 x+x^2) \log (x)} \, dx\)
  3.86.83 \(\int (-64 e^{6-2 x}+2 x+2^{2+x} e^{2^{1+x}} \log (2)) \, dx\)
  3.86.84 \(\int \frac {18+2 x+e^{e^5} (18-x^2)-9 \log (x^2)}{3 x^2} \, dx\)
  3.86.85 \(\int \frac {90-60 x+15 x^2+e^{e^x+x} (60-60 x+15 x^2)}{4-4 x+x^2} \, dx\)
  3.86.86 \(\int \frac {-4-4 e^9+12 x+4 x \log (\frac {81 x}{16})}{16 x+8 x \log (\frac {81 x}{16})+x \log ^2(\frac {81 x}{16})} \, dx\)
  3.86.87 \(\int \frac {-3+(-x-e^x x+6 e^{2 x} x-2 x^2) \log (x)}{x \log (x)} \, dx\)
  3.86.88 \(\int \frac {15 x^3+12 x^4-9 x^5+12 x^6+e^5 (-10-2 x+x^3)+e^{2 x} (-36 x^3-6 x^4-3 x^5-6 x^6)}{x^3} \, dx\)
  3.86.89 \(\int \frac {-e^5 x^4-2 e^5 x^2 \log (4)-e^5 \log ^2(4)+e^{\frac {25}{x^2+\log (4)}} (e^5 (-200 x+50 x^2+x^4)+2 e^5 x^2 \log (4)+e^5 \log ^2(4))}{x^4+2 x^2 \log (4)+\log ^2(4)+e^{\frac {25}{x^2+\log (4)}} (-2 x^4-4 x^2 \log (4)-2 \log ^2(4))+e^{\frac {50}{x^2+\log (4)}} (x^4+2 x^2 \log (4)+\log ^2(4))} \, dx\)
  3.86.90 \(\int \frac {e^{-x} ((-24 x^2+8 x^6) \log ^3(\frac {3+x^4}{x^2})+(9 x^2-3 x^3+3 x^6-x^7) \log ^4(\frac {3+x^4}{x^2}))}{3+x^4} \, dx\)
  3.86.91 \(\int \frac {20 x^2+24 x^3+9 x^4+x^5+(12+20 x+221 x^2+208 x^3+71 x^4+8 x^5) \log (x)+(60 x^2+76 x^3+31 x^4+4 x^5) \log (x) \log (\log (x))}{(4+4 x+x^2) \log (x)} \, dx\)
  3.86.92 \(\int e^3 (6 x^2+72 x^3+(4 x+36 x^2) \log (x)+(4 x+54 x^2) \log ^2(x)) \, dx\)
  3.86.93 \(\int \frac {5+(-5+5 x) \log (4 x)-5 \log (4 x) \log (-\frac {e^{-2+x} \log (5) \log (4 x)}{x})}{x^2 \log (4 x)} \, dx\)
  3.86.94 \(\int \frac {e^{\frac {-16 x-4 x^2+8 x^3+2 x^4+e^x (32 x+8 x^2)+(-64-16 x+32 x^2+8 x^3) \log (4)+(-64-16 x+32 x^2+8 x^3) \log (x)}{x^2+4 x \log (4)+4 x \log (x)}} (16 x^2+8 x^4+4 x^5+(128 x+64 x^3+32 x^4) \log (4)+(256+128 x^2+64 x^3) \log ^2(4)+e^x (-128 x-64 x^2+32 x^3+8 x^4+(160 x^2+32 x^3) \log (4))+(128 x+64 x^3+32 x^4+e^x (160 x^2+32 x^3)+(512+256 x^2+128 x^3) \log (4)) \log (x)+(256+128 x^2+64 x^3) \log ^2(x))}{x^4+8 x^3 \log (4)+16 x^2 \log ^2(4)+(8 x^3+32 x^2 \log (4)) \log (x)+16 x^2 \log ^2(x)} \, dx\)
  3.86.95 \(\int \frac {98-28 x+30 x^2-4 x^3+2 x^4+294 x^5-84 x^6+90 x^7-12 x^8+6 x^9+e^{\frac {1}{7-x+x^2}} (-1+2 x)}{49-14 x+15 x^2-2 x^3+x^4} \, dx\)
  3.86.96 \(\int \frac {-3 x-3 x \log (3)+(12+3 x+(12+3 x) \log (3)) \log (4+x)}{4 x^2+x^3+(8 x+2 x^2) \log (4+x)+(4+x) \log ^2(4+x)} \, dx\)
  3.86.97 \(\int \frac {-21+x+e^4 (-5+5 x)}{-5+5 x} \, dx\)
  3.86.98 \(\int \frac {(-100 e^{5/x}+e^{e^{-5/x} (-e^{5/x} x+\log (x))} (10 x+e^{5/x} (-10 x-10 x^2)+50 \log (x))) \log (\frac {10+2 e^{e^{-5/x} (-e^{5/x} x+\log (x))} x}{x^2})}{5 e^{5/x} x+e^{\frac {5}{x}+e^{-5/x} (-e^{5/x} x+\log (x))} x^2} \, dx\)
  3.86.99 \(\int \frac {e^x (e^{e^{e^x} x^{5/4}}+x) (4+4 x+e^{e^{e^x} x^{5/4}} (4+e^{e^x} \sqrt [4]{x} (5+4 e^x x)))}{4 e^{e^{e^x} x^{5/4}}+4 x} \, dx\)
  3.86.100 \(\int \frac {e^{3/x} (-12+3 e^3+3 x) \log (5)+(-4 x^2+e^3 x^2+x^3) \log (5)+(-3 e^{3/x} \log (5)-x^2 \log (5)) \log (x)+e^{\frac {4+x+\log (5) \log (4-e^3-x+\log (x))}{\log (5)}} (4 x^2-e^3 x^2-x^3+(x-x^2) \log (5)+x^2 \log (x))}{(4 x^2-e^3 x^2-x^3) \log (5)+x^2 \log (5) \log (x)} \, dx\)