3.89.1 \(\int \frac {e^2 (5-5 x)+10 x-5 x^2}{e^2 x+x^2} \, dx\)
  3.89.2 \(\int \frac {2 e^{3+3 x} x \log (4)+e^{2 x} (-6 x-6 x^2) \log (4)}{-27+27 e^{3+x}-9 e^{6+2 x}+e^{9+3 x}} \, dx\)
  3.89.3 \(\int \frac {e^x (1-x-2 \log (4 x)+\log ^2(4 x)) (6+3 x^2+(-6+6 x) \log (4 x)-3 x \log ^2(4 x))}{x-x^2-2 x \log (4 x)+x \log ^2(4 x)} \, dx\)
  3.89.4 \(\int \frac {-60 x^2+40 x^3-8 x^4+x^5+e^4 (x^3-x^4)+(-44 x+60 x^2-18 x^3+2 x^4+e^4 (2 x^2-2 x^3)) \log (-1+x)+(-16+24 x-9 x^2+x^3+e^4 (x-x^2)) \log ^2(-1+x)}{-16 x^3+24 x^4-9 x^5+x^6+(-32 x^2+48 x^3-18 x^4+2 x^5) \log (-1+x)+(-16 x+24 x^2-9 x^3+x^4) \log ^2(-1+x)} \, dx\)
  3.89.5 \(\int \frac {4 \log (\frac {1}{2} (5+\log (4)-2 \log (\log (-1+\log (x)))))}{(5 x+x \log (4)+(-5 x-x \log (4)) \log (x)) \log (-1+\log (x))+(-2 x+2 x \log (x)) \log (-1+\log (x)) \log (\log (-1+\log (x)))} \, dx\)
  3.89.6 \(\int \frac {(-144-72 x^2-6 x^3-9 x^4) \log (4)+(-64-20 x^2+6 x^3-3 x^4) \log ^2(4)}{144 x^2+72 x^4+9 x^6+(-384 x-288 x^2-192 x^3-144 x^4-24 x^5-18 x^6) \log (4)+(256+384 x+272 x^2+192 x^3+88 x^4+24 x^5+9 x^6) \log ^2(4)} \, dx\)
  3.89.7 \(\int \frac {e^x (1-x)+x^2}{x^2} \, dx\)
  3.89.8 \(\int \frac {e^x (e^{5-x}-4 x^2+4 x^3)}{8 x^2 \log (4)} \, dx\)
  3.89.9 \(\int \frac {(32+32 x-32 x^2-32 x^3) \log ^3(1+x)+(-6 x^5-6 x^7) \log ^3(\frac {1+x^2}{x})+(30 x^3+12 x^4+42 x^5+12 x^6+12 x^7) \log (1+x) \log ^3(\frac {1+x^2}{x})+(-60 x^2-60 x^3-60 x^4-60 x^5) \log ^2(1+x) \log ^3(\frac {1+x^2}{x})}{(x+x^2+x^3+x^4) \log ^3(1+x) \log ^3(\frac {1+x^2}{x})} \, dx\)
  3.89.10 \(\int \frac {-16 x^4 \log ^2(5)+(-16 x^3 \log ^2(5)+(-4 x^2+32 x^4) \log ^2(5) \log (x)) \log (\log (x))+((4 x^2+48 x^3) \log ^2(5) \log (x)+8 x^2 \log ^2(5) \log ^2(x)) \log ^2(\log (x))+((4 x+16 x^2) \log ^2(5) \log (x)+(1+4 x) \log ^2(5) \log ^2(x)) \log ^3(\log (x))}{3 x \log (x) \log ^3(\log (x))} \, dx\)
  3.89.11 \(\int \frac {e^{\frac {-x-3 x^4+(-x+x^4) \log (4+4 x)}{-3+\log (4+4 x)}} (3+7 x+36 x^3+36 x^4+(2+2 x-24 x^3-24 x^4) \log (4+4 x)+(-1-x+4 x^3+4 x^4) \log ^2(4+4 x))}{9+9 x+(-6-6 x) \log (4+4 x)+(1+x) \log ^2(4+4 x)} \, dx\)
  3.89.12 \(\int \frac {8 x-6 x^2-2 x^3+(-8 x-2 x^2) \log (4+x)+e^{e^x-x^2 \log (-1+x+\log (4+x))} (-4+3 x+x^2-5 x^3-x^4+e^x (-4 x+3 x^2+x^3)+(4+x+e^x (4 x+x^2)) \log (4+x)+(8 x^2-6 x^3-2 x^4+(-8 x^2-2 x^3) \log (4+x)) \log (-1+x+\log (4+x)))}{4 x^2-3 x^3-x^4+(-4 x^2-x^3) \log (4+x)+e^{e^x-x^2 \log (-1+x+\log (4+x))} (-4 x+3 x^2+x^3+(4 x+x^2) \log (4+x))} \, dx\)
  3.89.13 \(\int \frac {-1536 x^9-7424 x^{10}+400 x^{12}+(-1536 x^7-7424 x^8-320 x^9+440 x^{10}) \log ^2(16)+(-576 x^5-2784 x^6-160 x^7+157 x^8) \log ^4(16)+(-96 x^3-464 x^4-20 x^5+22 x^6) \log ^6(16)+(-6 x-29 x^2+x^4) \log ^8(16)}{2304 x^8+44544 x^9+194560 x^{10}-198048 x^{11}+69856 x^{12}-10800 x^{13}+625 x^{14}+(2304 x^6+44544 x^7+195520 x^8-189008 x^9+63216 x^{10}-9220 x^{11}+500 x^{12}) \log ^2(16)+(864 x^4+16704 x^5+73680 x^6-67482 x^7+21374 x^8-2942 x^9+150 x^{10}) \log ^4(16)+(144 x^2+2784 x^3+12340 x^4-10680 x^5+3200 x^6-416 x^7+20 x^8) \log ^6(16)+(9+174 x+775 x^2-632 x^3+179 x^4-22 x^5+x^6) \log ^8(16)} \, dx\)
  3.89.14 \(\int e^{36 x^2-120 x^3+100 x^4} (72 x-360 x^2+400 x^3) \, dx\)
  3.89.15 \(\int \frac {e^{-256 x+32 x^2-x^3} (2+2 x+2 e^{2 x} x^2+e^x (4 x+x^2-x^3)+(-512 x-128 x^2+58 x^3-3 x^4+e^{2 x} (-512 x^3+128 x^4-6 x^5)+e^x (-1024 x^2+52 x^4-3 x^5)) \log (\frac {2 x+x^2+2 e^x x^2}{2+2 e^x x}))}{2 x+x^2+2 e^{2 x} x^3+e^x (4 x^2+x^3)} \, dx\)
  3.89.16 \(\int \frac {-2 x+x^2-2 \log (\frac {e^x}{2}) \log (\log (\frac {e^x}{2})) \log (\log (\log (\frac {e^x}{2})))+(-1+x^2) \log (\frac {e^x}{2}) \log (\log (\frac {e^x}{2})) \log ^2(\log (\log (\frac {e^x}{2})))}{x^2 \log (\frac {e^x}{2}) \log (\log (\frac {e^x}{2})) \log ^2(\log (\log (\frac {e^x}{2})))} \, dx\)
  3.89.17 \(\int \frac {e^{\frac {\log (x) \log (x^2)}{5 x+x^3+e^{x^2} \log (x^2)}} ((10 x+2 x^3) \log (x)+(5 x+x^3+(-5 x-3 x^3) \log (x)) \log (x^2)+(e^{x^2}-2 e^{x^2} x^2 \log (x)) \log ^2(x^2))}{25 x^3+10 x^5+x^7+e^{x^2} (10 x^2+2 x^4) \log (x^2)+e^{2 x^2} x \log ^2(x^2)} \, dx\)
  3.89.18 \(\int \frac {-2+x+((-12+7 x) \log (3)+(12-7 x) \log (x)) \log (-\log (3)+\log (x))}{(-256 x^7+256 x^8-64 x^9) \log (3)+(256 x^7-256 x^8+64 x^9) \log (x)} \, dx\)
  3.89.19 \(\int \frac {5 \log (x)+(10+(-15+x^2) \log (x)) \log (2 x)-5 \log (x) \log (2 x) \log (x \log ^2(x) \log (2 x))}{x^2 \log (x) \log (2 x)} \, dx\)
  3.89.20 \(\int \frac {-71+96 e^2-80 e^4+32 e^6-8 e^8-3 x+3 x^2-x^3}{-1+3 x-3 x^2+x^3} \, dx\)
  3.89.21 \(\int \frac {e^{\frac {e^x+x^2}{x^3 \log (-2+e^{3/2}) \log (4+2 x)}} (-e^x x-x^3+(-2 x^2-x^3+e^x (-6-x+x^2)) \log (4+2 x))}{(2 x^4+x^5) \log (-2+e^{3/2}) \log ^2(4+2 x)} \, dx\)
  3.89.22 \(\int \frac {(20 x-996 x^2+11900 x^3+12380 x^4+4992 x^5+1000 x^6+100 x^7+4 x^8+e^{x^2} (-40+1992 x-23800 x^2-24760 x^3-9984 x^4-2000 x^5-200 x^6-8 x^7)) \log (2 x^2)+(-5 x-5 x^2+3225 x^3+3165 x^4+1254 x^5+250 x^6+25 x^7+x^8+e^{x^2} (508 x-12380 x^2-13516 x^3+6896 x^4+11380 x^5+4892 x^6+996 x^7+100 x^8+4 x^9)) \log ^2(2 x^2)}{3125 x^3+3125 x^4+1250 x^5+250 x^6+25 x^7+x^8+e^{2 x^2} (12500 x+12500 x^2+5000 x^3+1000 x^4+100 x^5+4 x^6)+e^{x^2} (-12500 x^2-12500 x^3-5000 x^4-1000 x^5-100 x^6-4 x^7)} \, dx\)
  3.89.23 \(\int \frac {-16+x^2-4 e^{e^9} x^2-192 x^3-96 x^4}{4 x^2} \, dx\)
  3.89.24 \(\int \frac {12+3 e^{-1+x}+6 x+6 x \log (3)+15 \log (x)}{e^{-1+x}-x+x^2+x^2 \log (3)+5 x \log (x)} \, dx\)
  3.89.25 \(\int \frac {e^{1-e^4+e^{e^4}+x^2} (-1+2 x^2)}{x^2} \, dx\)
  3.89.26 \(\int \frac {-12 x^3+60 x^4-108 x^5+84 x^6-24 x^7+(-144 x^2+384 x^3-576 x^5+336 x^6) \log (2)+(-576 x+2304 x^3-1728 x^5) \log ^2(2)+(-768-3072 x+6144 x^3+3840 x^4) \log ^3(2)+(-3072-9216 x-9216 x^2-3072 x^3) \log ^4(2)}{1-2 x^4+8 x^5-12 x^6+8 x^7-x^8-8 x^9+28 x^{10}-56 x^{11}+70 x^{12}-56 x^{13}+28 x^{14}-8 x^{15}+x^{16}+(-32 x^3+64 x^4-64 x^6+64 x^7-192 x^8+448 x^9-448 x^{10}+448 x^{12}-448 x^{13}+192 x^{14}-32 x^{15}) \log (2)+(-192 x^2+384 x^4+256 x^6-1792 x^7+1792 x^8+1792 x^9-4480 x^{10}+1792 x^{11}+1792 x^{12}-1792 x^{13}+448 x^{14}) \log ^2(2)+(-512 x-1024 x^2+1024 x^4+4096 x^5-7168 x^6-7168 x^7+21504 x^8-21504 x^{10}+7168 x^{11}+7168 x^{12}-3584 x^{13}) \log ^3(2)+(-512-2048 x-3072 x^2-2048 x^3+17408 x^4-71680 x^6+107520 x^8-71680 x^{10}+17920 x^{12}) \log ^4(2)+(57344 x^3+114688 x^4-114688 x^5-344064 x^6+344064 x^8+114688 x^9-114688 x^{10}-57344 x^{11}) \log ^5(2)+(114688 x^2+458752 x^3+458752 x^4-458752 x^5-1146880 x^6-458752 x^7+458752 x^8+458752 x^9+114688 x^{10}) \log ^6(2)+(131072 x+786432 x^2+1835008 x^3+1835008 x^4-1835008 x^6-1835008 x^7-786432 x^8-131072 x^9) \log ^7(2)+(65536+524288 x+1835008 x^2+3670016 x^3+4587520 x^4+3670016 x^5+1835008 x^6+524288 x^7+65536 x^8) \log ^8(2)} \, dx\)
  3.89.27 \(\int \frac {e^x (11-11 x+5 x^2+8 x^3+(-11+11 x-8 x^2) \log (4))}{10 x^2} \, dx\)
  3.89.28 \(\int \frac {16+48 x+48 x^2+16 x^3+e^4 (-16+16 x+72 x^2+56 x^3+16 x^4)+e^8 (4-20 x+16 x^3+13 x^4+3 x^5)+(e^4 (8+24 x+24 x^2+8 x^3)+e^8 (-4+4 x+18 x^2+14 x^3+4 x^4)) \log (4)+e^8 (1+3 x+3 x^2+x^3) \log ^2(4)}{e^8 (1+3 x+3 x^2+x^3)} \, dx\)
  3.89.29 \(\int \frac {(-256 x^5+e^{\frac {-1+x-2 x^2+2 \log (5)}{2 x}} (2-4 x^2-4 \log (5))) \log ^3(e^{\frac {-1+x-2 x^2+2 \log (5)}{2 x}}-16 x^4)}{e^{\frac {-1+x-2 x^2+2 \log (5)}{2 x}} x^2-16 x^6} \, dx\)
  3.89.30 \(\int \frac {-60 x^4-36 x^5+40 x^6+e^6 (-12-20 x+8 x^2)+e^3 (72 x^2+56 x^3-48 x^4)+(-240 x^4-160 x^5+144 x^6+e^3 (144 x^2+128 x^3-80 x^4)) \log (3-x)+(-360 x^4-264 x^5+192 x^6+e^3 (72 x^2+72 x^3-32 x^4)) \log ^2(3-x)+(-240 x^4-192 x^5+112 x^6) \log ^3(3-x)+(-60 x^4-52 x^5+24 x^6) \log ^4(3-x)}{-3+x} \, dx\)
  3.89.31 \(\int \frac {-20 e^3 x-5 e^{3+\frac {-1-e^4 x+x^2}{x}} x+e^{3+\frac {-1-e^4 x+x^2}{x}} (5+5 x^2) \log (\frac {x}{2})+5 x^2 \log ^2(\frac {x}{2})}{x^2 \log ^2(\frac {x}{2})} \, dx\)
  3.89.32 \(\int \frac {-e^3 x+2 x^2-12 \log (5)-72 \log (x)}{x} \, dx\)
  3.89.33 \(\int \frac {-50+50 x-50 x^2-50 x^3+6 x^4-18 x^5+18 x^6-6 x^7+(-50 x-18 x^3+36 x^4-18 x^5) \log (x)+(18 x^2-18 x^3) \log ^2(x)-6 x \log ^3(x)}{e^{2+2 x} (-x^4+3 x^5-3 x^6+x^7)+e^{2+2 x} (3 x^3-6 x^4+3 x^5) \log (x)+e^{2+2 x} (-3 x^2+3 x^3) \log ^2(x)+e^{2+2 x} x \log ^3(x)} \, dx\)
  3.89.34 \(\int \frac {e^{-4-e^{75}} (1+(-1-2 e^{4+e^{75}} x) \log (x))}{x \log (x)} \, dx\)
  3.89.35 \(\int \frac {-2+2 e^{25 e^2}+2 \log (x)}{e^{50 e^2}+2 e^{25 e^2} \log (x)+\log ^2(x)} \, dx\)
  3.89.36 \(\int \frac {-800 x+80 e^{2 x} x-2 e^{4 x} x+(-800+80 e^{2 x}-800 x^2+e^{4 x} (-2+2 x^2)) \log (x)+(800+1600 x+2400 x^2+e^{2 x} (-80-320 x-400 x^2-160 x^3)+e^{4 x} (2+12 x+14 x^2+8 x^3)) \log ^2(x)+(675+2400 x+2400 x^2+1600 x^3+e^{2 x} (-160-400 x-480 x^2-320 x^3-80 x^4)+e^{4 x} (6+14 x+18 x^2+12 x^3+4 x^4)) \log ^3(x)}{25 \log ^3(x)} \, dx\)
  3.89.37 \(\int \frac {1}{9} (7-90 x^2-180 x^3+(-90 x-270 x^2) \log (x)-90 x \log ^2(x)) \, dx\)
  3.89.38 \(\int \frac {30-52 x+(-6+13 x) \log (\frac {1}{2} (6-13 x))}{-6+13 x} \, dx\)
  3.89.39 \(\int \frac {e^{-\frac {e^x (-14-7 x)-2 x}{x}+x} (-14+14 x+7 x^2)}{x^2} \, dx\)
  3.89.40 \(\int \frac {(-19 x-12 x^2+12 x^3+4 x^4) \log (x)+(-20+8 x+4 x^2) \log ^2(x)+(4 x+4 x^2) \log ^3(x)+4 \log ^4(x)+(-80+32 x+16 x^2+16 \log ^2(x)) \log (\log ^4(x))+((4 x+4 x^2) \log (x)+4 \log ^2(x)) \log ^2(\log ^4(x))+16 \log ^3(\log ^4(x))}{x \log (x)} \, dx\)
  3.89.41 \(\int \frac {48-84 x+32 x^2-60 x^3+e^x (9 x-11 x^2+4 x^3+15 x^5)}{x^5} \, dx\)
  3.89.42 \(\int \frac {-1-2 \log (\frac {1}{81+x})}{81+x} \, dx\)
  3.89.43 \(\int e^{-x} (4-e^x-x-4 x^5+(2 x-x^2) \log (\frac {e^{\frac {-4-2 x+e^3 x-x^5}{x}}}{x})) \, dx\)
  3.89.44 \(\int \frac {2+8 x+8 x^2+(-2-8 x-8 x^2) \log (x)+4 x \log ^2(x)}{x \log ^3(x)} \, dx\)
  3.89.45 \(\int \frac {1764 x+e^x (3+588 x-3 x^2)+(-9 x-3 e^x x) \log (x)}{e^{2 x} x+6 e^x x^2+9 x^3} \, dx\)
  3.89.46 \(\int \frac {-2-e^x x}{x} \, dx\)
  3.89.47 \(\int \frac {e^{\frac {44+e (-16-8 x)+38 x+13 x^2+(8+4 x) \log (x)}{8+4 x}} (16+48 x+56 x^2+13 x^3)}{16 x+16 x^2+4 x^3} \, dx\)
  3.89.48 \(\int \frac {e^{3/x} (-3+x)-x-e^4 x-8 x^2}{x} \, dx\)
  3.89.49 \(\int \frac {1}{625} (40 e^{10 x}+e^{-e^x+11 x} (44-4 e^x)+e^{-2 e^x+12 x} (12-2 e^x)) \, dx\)
  3.89.50 \(\int \frac {e^{x-16 e^{2+2 e^3} x^2-32 e^{2+2 e^3} x \log (3 x)-16 e^{2+2 e^3} \log ^2(3 x)} (x+e^{2+2 e^3} (-32 x-32 x^2)+e^{2+2 e^3} (-32-32 x) \log (3 x))}{x} \, dx\)
  3.89.51 \(\int \frac {-x-e^{5+e^5 x} x}{x} \, dx\)
  3.89.52 \(\int \frac {e^{-e^x x^2+\frac {e^{-e^x x^2} (4 e^{x+e^x x^2}+x^2)}{4 x}} (5 x^2+e^x (-10 x^4-5 x^5)+e^{e^x x^2} (-20 x+e^x (-20+20 x)))}{4 x^3} \, dx\)
  3.89.53 \(\int 2 e^{10} \, dx\)
  3.89.54 \(\int (3+e^{e^{e^{e^{2 e} x^4+2 e^e x^5+x^6}}+x} (-2 e^x+e^{e^{e^{2 e} x^4+2 e^e x^5+x^6}+e^{2 e} x^4+2 e^e x^5+x^6} (-4 e^{2 e+x} x^3-10 e^{e+x} x^4-6 e^x x^5))) \, dx\)
  3.89.55 \(\int \frac {-2 x-2 \log ^4(2)}{\log ^4(2)} \, dx\)
  3.89.56 \(\int \frac {617025600-524471760 x-623591460 x^2+611580105 x^3-211803255 x^4+37236375 x^5-3533625 x^6+172125 x^7-3375 x^8+e^{3 x} (125-75 x-125 x^2+75 x^3-15 x^4+x^5)+e^{2 x} (63900-47565 x-63225 x^2+46065 x^3-11475 x^4+1215 x^5-45 x^6)+e^x (10879920-8987112 x-10753785 x^2+9244827 x^3-2756547 x^4+390825 x^5-26325 x^6+675 x^7)}{-729000000 x^2+619650000 x^3-212017500 x^4+37236375 x^5-3533625 x^6+172125 x^7-3375 x^8+e^{3 x} (-125 x^2+75 x^3-15 x^4+x^5)+e^{2 x} (-67500 x^2+46125 x^3-11475 x^4+1215 x^5-45 x^6)+e^x (-12150000 x^2+9315000 x^3-2757375 x^4+390825 x^5-26325 x^6+675 x^7)} \, dx\)
  3.89.57 \(\int (14+e^{-2 x+x^2} (-1+2 x-2 x^2)) \, dx\)
  3.89.58 \(\int \frac {e^{\frac {e^{\frac {2}{x^2}} x+x^2+\log (\frac {5}{3})}{x}} (-4 e^{\frac {2}{x^2}}+x^3-x \log (\frac {5}{3}))}{x^3} \, dx\)
  3.89.59 \(\int \frac {2-2 x+(1-x) \log (x)+(25+x+x \log (x)) \log (25+x+x \log (x))}{25-49 x+23 x^2+x^3+(x-2 x^2+x^3) \log (x)} \, dx\)
  3.89.60 \(\int \frac {e^{-x} (-3+3 x-19 x^2-10 x^3)}{9-54 x+21 x^2+180 x^3+100 x^4} \, dx\)
  3.89.61 \(\int \frac {-256 e^{8+2 x^2}-656 x^3-1681 x^4+e^{4+x^2} (-256 x+1312 x^2+512 x^3)}{256 e^{8+2 x^2} x-1312 e^{4+x^2} x^3+1681 x^5} \, dx\)
  3.89.62 \(\int \frac {192+88 x+9 x^2+e (-96-48 x-6 x^2)}{128 x^4+64 x^5+8 x^6} \, dx\)
  3.89.63 \(\int (2 x^2-4 x \log (2)+2 \log ^2(2)+(3 x^2-4 x \log (2)+\log ^2(2)) \log (\frac {x^2}{\log ^4(3)})+(-12 x+12 \log (2)) \log (x^3) \log (\frac {x^2}{\log ^4(3)})+12 \log ^3(x^3) \log (\frac {x^2}{\log ^4(3)})+\log ^4(x^3) (2+\log (\frac {x^2}{\log ^4(3)}))+\log ^2(x^3) (-4 x+4 \log (2)+(-4 x+2 \log (2)) \log (\frac {x^2}{\log ^4(3)}))) \, dx\)
  3.89.64 \(\int (5 e^x+e^{e^{-x^2-x^3+e^{2 x} (1+x)}-x^2-x^3+e^{2 x} (1+x)} (-2 x-3 x^2+e^{2 x} (3+2 x))) \, dx\)
  3.89.65 \(\int e^{2 x+2 x^2+x^3+x \log (\frac {x^2}{e^3})} (4+4 x+3 x^2+\log (\frac {x^2}{e^3})) \, dx\)
  3.89.66 \(\int \frac {-9+288 x^2+(6-192 x^2) \log (x)+(-1+32 x^2) \log ^2(x)+e^{\frac {-15-3 \log (5)+5 \log (x)}{-3+\log (x)}} (-144 x^2-24 x^2 \log (5)+96 x^2 \log (x)-16 x^2 \log ^2(x))+e^{\frac {2 (-15-3 \log (5)+5 \log (x))}{-3+\log (x)}} (18 x^2+6 x^2 \log (5)-12 x^2 \log (x)+2 x^2 \log ^2(x))}{9 x-6 x \log (x)+x \log ^2(x)} \, dx\)
  3.89.67 \(\int \frac {31+e^{x^2} (-25+6 x+50 x^2)+(2+2 e^{x^2} x) \log (\frac {e}{2})}{9+150 x+625 x^2+(6+50 x) \log (\frac {e}{2})+\log ^2(\frac {e}{2})} \, dx\)
  3.89.68 \(\int \frac {4 e^{5 x}+e^{24 x}+(4 e^{5 x} x+e^{24 x} x) \log (x)+(e^{24 x} (-95 x+19 x^2) \log (x)+19 e^{24 x} x \log (x) \log (\log (x))) \log (5-x-\log (\log (x)))}{e^{5 x} (-5 x+x^2) \log (x)+e^{5 x} x \log (x) \log (\log (x))} \, dx\)
  3.89.69 \(\int \frac {e^{\frac {1}{-400 x^5+(2000 x^4+400 x^5) \log (x)}} (-5+4 x+(-20-5 x) \log (x))}{200 x^7+(-2000 x^6-400 x^7) \log (x)+(5000 x^5+2000 x^6+200 x^7) \log ^2(x)} \, dx\)
  3.89.70 \(\int \frac {1+(3+5 x^4) \log ^2(2)+\log ^2(2) \log (x^{1+\frac {1}{\log ^2(2)}})}{\log ^2(2)} \, dx\)
  3.89.71 \(\int e^{5-e} (-1+2 e^{-5+e} x) \, dx\)
  3.89.72 \(\int e^{-78+56 x-13 x^2+x^3+e^x (-16+8 x-x^2)} (-55+82 x-29 x^2+3 x^3+e^3 (56-26 x+3 x^2)+e^x (8-14 x+7 x^2-x^3+e^3 (-8+6 x-x^2))) \, dx\)
  3.89.73 \(\int \frac {900+1194 x+1272 x^2+955 x^3+378 x^4+71 x^5+5 x^6}{144 x^2+168 x^3+73 x^4+14 x^5+x^6} \, dx\)
  3.89.74 \(\int \frac {(1+e^x+x) \log (x)+(-1-e^x-x+(1+2 x+e^x (1+x)) \log (x)) \log (x \log (4))}{8 \log ^2(x)} \, dx\)
  3.89.75 \(\int \frac {-10+5 \log (3)+e^{e^x+x} (-10+5 \log (3))}{e^{e^x}+x} \, dx\)
  3.89.76 \(\int \frac {1}{3} (-3+3 e^x+8 x+7 x \log (x)+x \log ^2(x)) \, dx\)
  3.89.77 \(\int \frac {4-12 x+e^x (8+4 x)+8 \log (x)}{e^{2 x} x^3-2 e^x x^4+x^5+(2 e^x x^3-2 x^4) \log (x)+x^3 \log ^2(x)} \, dx\)
  3.89.78 \(\int \frac {100-20 e^3-15 x+8 x^2+e^x (10+5 x)+(50-10 e^3+5 e^x-5 x+2 x^2) \log (\frac {50-10 e^3+5 e^x-5 x+2 x^2}{2 x})}{50-10 e^3+5 e^x-5 x+2 x^2} \, dx\)
  3.89.79 \(\int \frac {-37500000+53750000 x-32000000 x^2+9800000 x^3-1400000 x^4-28000 x^5+44800 x^6-7360 x^7+544 x^8-16 x^9+(-3125000 x+3750000 x^2-1750000 x^3+350000 x^4-14000 x^6+2800 x^7-240 x^8+8 x^9+(-3125000+3750000 x-1750000 x^2+350000 x^3-14000 x^5+2800 x^6-240 x^7+8 x^8) \log (5+x)) \log (\frac {1}{4} (x^2+2 x \log (5+x)+\log ^2(5+x)))+(9000000-9300000 x+3600000 x^2-540000 x^3-24000 x^4+18720 x^5-2304 x^6+96 x^7) \log ^2(\frac {1}{4} (x^2+2 x \log (5+x)+\log ^2(5+x)))+(750000 x-600000 x^2+150000 x^3-6000 x^5+960 x^6-48 x^7+(750000-600000 x+150000 x^2-6000 x^4+960 x^5-48 x^6) \log (5+x)) \log ^3(\frac {1}{4} (x^2+2 x \log (5+x)+\log ^2(5+x)))+(-720000+456000 x-76800 x^2-5760 x^3+2688 x^4-192 x^5) \log ^4(\frac {1}{4} (x^2+2 x \log (5+x)+\log ^2(5+x)))+(-60000 x+24000 x^2-960 x^4+96 x^5+(-60000+24000 x-960 x^3+96 x^4) \log (5+x)) \log ^5(\frac {1}{4} (x^2+2 x \log (5+x)+\log ^2(5+x)))+(19200-4480 x-512 x^2+128 x^3) \log ^6(\frac {1}{4} (x^2+2 x \log (5+x)+\log ^2(5+x)))+(1600 x-64 x^3+(1600-64 x^2) \log (5+x)) \log ^7(\frac {1}{4} (x^2+2 x \log (5+x)+\log ^2(5+x)))}{(5 x+x^2+(5+x) \log (5+x)) \log ^9(\frac {1}{4} (x^2+2 x \log (5+x)+\log ^2(5+x)))} \, dx\)
  3.89.80 \(\int (e^4 x \log (4)+2 e^4 x \log (4) \log (x)) \, dx\)
  3.89.81 \(\int \frac {-1600 e^{4 x}+(-160 x-200 e^{4 x} x) \log (x)+(-160 x+e^{4 x} (-200 x+400 x^2)) \log ^2(x)}{16+40 e^{4 x}+25 e^{8 x}} \, dx\)
  3.89.82 \(\int \frac {e^{5+e^{2 x}} (6+e^{16+x} (-9+9 x-18 e^{2 x} x)+e^{16+x} (3-3 x+6 e^{2 x} x) \log (x^2))+e^{5+e^{2 x}} (9+18 e^{2 x} x+(-3-6 e^{2 x} x) \log (x^2)) \log (3-\log (x^2))}{-3 e^{32+2 x}+e^{32+2 x} \log (x^2)+(6 e^{16+x}-2 e^{16+x} \log (x^2)) \log (3-\log (x^2))+(-3+\log (x^2)) \log ^2(3-\log (x^2))} \, dx\)
  3.89.83 \(\int \frac {4 x^2-2 x^3-2 x^5+e^{17} (-4+6 x+10 x^2-8 x^3-6 x^5+2 x^6)}{e^{17} x^5} \, dx\)
  3.89.84 \(\int \frac {-128 x^2+160 x^3-32 x^4+e^5 (-640 x+128 x^2)+(-640 x+128 x^2) \log (-5+x)}{-320 x^3-176 x^4-12 x^5+7 x^6+x^7+e^{15} (-320+64 x)+e^{10} (-960 x-48 x^2+48 x^3)+e^5 (-960 x^2-288 x^3+36 x^4+12 x^5)+(-240 x^3-72 x^4+9 x^5+3 x^6+e^{10} (-240 x+48 x^2)+e^5 (-480 x^2-24 x^3+24 x^4)) \log (2)+(-60 x^3-3 x^4+3 x^5+e^5 (-60 x^2+12 x^3)) \log ^2(2)+(-5 x^3+x^4) \log ^3(2)+(-240 x^3-72 x^4+9 x^5+3 x^6+e^{10} (-240 x+48 x^2)+e^5 (-480 x^2-24 x^3+24 x^4)+(-120 x^3-6 x^4+6 x^5+e^5 (-120 x^2+24 x^3)) \log (2)+(-15 x^3+3 x^4) \log ^2(2)) \log (3)+(-60 x^3-3 x^4+3 x^5+e^5 (-60 x^2+12 x^3)+(-15 x^3+3 x^4) \log (2)) \log ^2(3)+(-5 x^3+x^4) \log ^3(3)+(-960 x^2-288 x^3+36 x^4+12 x^5+e^{10} (-960+192 x)+e^5 (-1920 x-96 x^2+96 x^3)+(-480 x^2-24 x^3+24 x^4+e^5 (-480 x+96 x^2)) \log (2)+(-60 x^2+12 x^3) \log ^2(2)+(-480 x^2-24 x^3+24 x^4+e^5 (-480 x+96 x^2)+(-120 x^2+24 x^3) \log (2)) \log (3)+(-60 x^2+12 x^3) \log ^2(3)) \log (-5+x)+(-960 x-48 x^2+48 x^3+e^5 (-960+192 x)+(-240 x+48 x^2) \log (2)+(-240 x+48 x^2) \log (3)) \log ^2(-5+x)+(-320+64 x) \log ^3(-5+x)} \, dx\)
  3.89.85 \(\int \frac {1}{25} (25+(900+1050 x+450 x^2+100 x^3+(60+60 x+30 x^2) \log (2)+2 x \log ^2(2)) \log ^2(9)) \, dx\)
  3.89.86 \(\int \frac {-12-36 x^4+e^2 (-18 x-6 x^2+18 x^5-18 x^6)}{e^2 (x^2+3 x^6)} \, dx\)
  3.89.87 \(\int \frac {8 e^{2 x} x+12 x^2+e^x (-8 x-8 x^2)+(-10+6 x^2+e^{2 x} (-2+8 x)+e^x (-4 x-8 x^2)) \log (x)+(-5+x^2-2 e^x x^2+e^{2 x} (-1+2 x)) \log ^2(x)}{x^2} \, dx\)
  3.89.88 \(\int \frac {1}{3} (3+e^{-e^{3/x} x+x^2} (1+e^{3/x} (3-x)+2 x^2)-\log (x)) \, dx\)
  3.89.89 \(\int \frac {-12-4 x-3 x^2+e^{5 x} (2+13 x)}{-4+e^{5 x} x-x^2} \, dx\)
  3.89.90 \(\int \frac {e^x (-304+152 x^2-19 x^4+e^2 (-304+152 x^2-19 x^4))+e^{2 x} (28-5 x^2+x^4+e^2 (28-5 x^2+x^4))}{5776-2888 x^2+361 x^4+e^x (1064 x-418 x^3+38 x^5)+e^{2 x} (49 x^2-14 x^4+x^6)} \, dx\)
  3.89.91 \(\int (-1+e^{5+e (-1+x)+2 x} (2+e)+e^x (-1-x)-2 x) \, dx\)
  3.89.92 \(\int \frac {8 x^5+e^8 (-48+8 x+16 x^2+2 x^3)+e^4 (192 x-80 x^3-8 x^4)}{-8 x^4+4 x^6+e^8 (-8+8 x+2 x^2-4 x^3+x^4)+e^4 (-16 x^2+8 x^3+8 x^4-4 x^5)} \, dx\)
  3.89.93 \(\int \frac {4 e^5 x^2 \log ^2(x)+e^{\frac {3}{e^5 x^2 \log (x)}} \log (2+e^2) (6+12 \log (x)-4 e^5 x^2 \log ^2(x))+e^{\frac {6}{e^5 x^2 \log (x)}} \log ^2(2+e^2) (-3-6 \log (x)+e^5 x^2 \log ^2(x))}{2 e^5 x \log ^2(2+e^2) \log ^2(x)} \, dx\)
  3.89.94 \(\int \frac {-2916 e^{\frac {4 (3+x)}{-3+2 x}}+72 x^7-96 x^8+32 x^9+e^{\frac {3 (3+x)}{-3+2 x}} (1944 x-5508 x^2+864 x^3)+e^{\frac {2 (3+x)}{-3+2 x}} (1944 x^3-3564 x^4+864 x^5)+e^{\frac {3+x}{-3+2 x}} (648 x^5-972 x^6+288 x^7)}{729-972 x+324 x^2} \, dx\)
  3.89.95 \(\int (1+e^{-25+e^{-1-e^x+2 x}-9 x-x^2} (-9+e^{-1-e^x+2 x} (2-e^x)-2 x)) \, dx\)
  3.89.96 \(\int \frac {e^{-3-x} (20-4 x+(56+2 x-4 x^2) \log (7+2 x))}{(175-20 x-13 x^2+2 x^3) \log ^2(7+2 x)} \, dx\)
  3.89.97 \(\int \frac {e^{-\frac {3025+6065 x+2856 x^2+58 x^3-174 x^4-3 x^5+9 x^6+x^7+(660+852 x+144 x^2-60 x^3-12 x^4) \log (4)+(-74-106 x-24 x^2+10 x^3+2 x^4) \log ^2(4)+(-12-12 x) \log ^3(4)+(1+x) \log ^4(4)}{3025+1760 x-184 x^2-238 x^3-16 x^4+8 x^5+x^6+(660+192 x-48 x^2-12 x^3) \log (4)+(-74-32 x+8 x^2+2 x^3) \log ^2(4)-12 \log ^3(4)+\log ^4(4)}} (-166375+91575 x+259580 x^2+126599 x^3+21533 x^4+3943 x^5+2515 x^6+625 x^7+17 x^8-11 x^9-x^{10}+(-54450+30450 x+50352 x^2+9612 x^3-2076 x^4-282 x^5+126 x^6+18 x^7) \log (4)+(3135-863 x-6232 x^2-1926 x^3+238 x^4+47 x^5-21 x^6-3 x^7) \log ^2(4)+(1764-1188 x-720 x^2+108 x^3+36 x^4) \log ^3(4)+(-57+9 x+60 x^2-9 x^3-3 x^4) \log ^4(4)+(-18+18 x) \log ^5(4)+(1-x) \log ^6(4))}{-166375-145200 x-5940 x^2+26099 x^3+5712 x^4-1320 x^5-485 x^6+12 x^8+x^9+(-54450-31680 x+3312 x^2+4284 x^3+288 x^4-144 x^5-18 x^6) \log (4)+(3135+3552 x-120 x^2-606 x^3-48 x^4+24 x^5+3 x^6) \log ^2(4)+(1764+576 x-144 x^2-36 x^3) \log ^3(4)+(-57-48 x+12 x^2+3 x^3) \log ^4(4)-18 \log ^5(4)+\log ^6(4)} \, dx\)
  3.89.98 \(\int \frac {-3125000+30625000 x-124875000 x^2+269500000 x^3-319025000 x^4+183897000 x^5-22013600 x^6-14862680 x^7-2972536 x^9+880544 x^{10}+1471176 x^{11}+510440 x^{12}+86240 x^{13}+7992 x^{14}+392 x^{15}+8 x^{16}+(-15000 x^4+63000 x^5-82200 x^6+28560 x^7+5712 x^9+3288 x^{10}+504 x^{11}+24 x^{12}+e^5 (-5000 x^4+21000 x^5-27400 x^6+9520 x^7+1904 x^9+1096 x^{10}+168 x^{11}+8 x^{12})) \log ^8(4)}{3 x^9 \log ^{16}(4)} \, dx\)
  3.89.99 \(\int \frac {e^{-1+x} (e^{1-x} (1+x^3) \log (4)+(-6 x^3-6 x^4) \log (4))}{x^3} \, dx\)
  3.89.100 \(\int \frac {e^{\frac {x}{2+\log (-18-2 x+\log (4)+3 \log (25))}} (-36-2 x+2 \log (4)+6 \log (25)+(-18-2 x+\log (4)+3 \log (25)) \log (-18-2 x+\log (4)+3 \log (25)))}{-72-8 x+4 \log (4)+12 \log (25)+(-72-8 x+4 \log (4)+12 \log (25)) \log (-18-2 x+\log (4)+3 \log (25))+(-18-2 x+\log (4)+3 \log (25)) \log ^2(-18-2 x+\log (4)+3 \log (25))} \, dx\)