3.90 Integrals 8901 to 9000

  3.90.1 \(\int \frac {1-8 x-x^2+4 x^3+(-1+4 x) \log (1-4 x)}{-1+4 x-2 x^2+8 x^3-x^4+4 x^5+(2-8 x+2 x^2-8 x^3) \log (1-4 x)+(-1+4 x) \log ^2(1-4 x)} \, dx\)
  3.90.2 \(\int \frac {20 \log ^2(2)}{640 x+448 x^2+(480 x+336 x^2) \log (\frac {-10-7 x}{2 x})+(120 x+84 x^2) \log ^2(\frac {-10-7 x}{2 x})+(10 x+7 x^2) \log ^3(\frac {-10-7 x}{2 x})} \, dx\)
  3.90.3 \(\int \frac {-4+(-160-160 x-40 x^2) \log (2)}{4+4 x+x^2} \, dx\)
  3.90.4 \(\int \frac {27 e^{8 x}+e^{4 x} (64-256 x-144 x^2)}{9 e^{8 x}-24 e^{4 x} x+16 x^2} \, dx\)
  3.90.5 \(\int e^x \, dx\)
  3.90.6 \(\int \frac {-10+150 x+56 x^2-114 x^3-24 x^4+24 x^5+e^{x^2} (150 x+60 x^2-114 x^3-24 x^4+24 x^5)}{75+30 x-57 x^2-12 x^3+12 x^4} \, dx\)
  3.90.7 \(\int \frac {e^5 (25+25 x) \log (4)+25 e^5 \log (4) \log (x)+25 e^5 \log ^2(x)}{x^2 \log ^2(x)} \, dx\)
  3.90.8 \(\int \frac {-65536+524288 x-595968 x^2+6672 x^3-17 x^4+e^3 (524288 x-6144 x^2+16 x^3)+(131072 x-132608 x^2+1540 x^3-4 x^4+e^3 (131072 x-1536 x^2+4 x^3)) \log (1+e^3-x)}{65536+65536 e^3-65536 x} \, dx\)
  3.90.9 \(\int \frac {75+225 x+(150 x-30 e x+30 x^2-150 x \log (5)) \log (\frac {3}{x})+(30 x+e^2 x+10 x^2+x^3+e (-10 x-2 x^2)+(-50 x+10 e x-10 x^2) \log (5)+25 x \log ^2(5)) \log ^2(\frac {3}{x})}{225 x+(150 x-30 e x+30 x^2-150 x \log (5)) \log (\frac {3}{x})+(25 x+e^2 x+10 x^2+x^3+e (-10 x-2 x^2)+(-50 x+10 e x-10 x^2) \log (5)+25 x \log ^2(5)) \log ^2(\frac {3}{x})} \, dx\)
  3.90.10 \(\int \frac {(26+4 x) \log (-13 x-x^2)}{39 x+3 x^2} \, dx\)
  3.90.11 \(\int \frac {e^{e^{10}} (e^{5+x} (-2+x)+4 e^5 x)}{5 x^3} \, dx\)
  3.90.12 \(\int \frac {9-6 x+x^2+e^{2 x} (-24 x^2-20 x^3+8 x^4) \log (2)}{9 x-6 x^2+x^3} \, dx\)
  3.90.13 \(\int (10 x+27 x^2+12 x^3+e^{4+x} (-150 x-75 x^2)) \, dx\)
  3.90.14 \(\int \frac {e^{-2+\frac {-3-3 x+e^{\frac {2 e^3}{x}} (1+x)+\log (2)}{1+x}} (-x-2 x^2-x^3+e^{3+\frac {2 e^3}{x}} (-2-4 x-2 x^2)-x^2 \log (2))}{2 x^3+4 x^4+2 x^5} \, dx\)
  3.90.15 \(\int \frac {-5-48 e^{3 x} x^2-12 e^{6 x} x^2}{2 x^2} \, dx\)
  3.90.16 \(\int \frac {-5 x^2+e (5 x^2+10 x^3) \log (3)+(-4 x+10 e^4 x-10 x^2+e (10 x^2+10 x^3) \log (3)) \log (\frac {1}{5} (2-5 e^4+5 x+e (-5 x-5 x^2) \log (3)))}{-2+5 e^4-5 x+e (5 x+5 x^2) \log (3)} \, dx\)
  3.90.17 \(\int \frac {e^2 (2-3 x)+10 x+(-3 e^2 x-15 x^2) \log (\frac {15 x}{e^2+5 x})}{2 e^2 x+10 x^2} \, dx\)
  3.90.18 \(\int \frac {-6+8 x-2 e^4 x+12 x^2-2 x \log (x)}{9 e^{\frac {1}{3} (5 x-e^4 x+3 x^2-x \log (x))}-6 x} \, dx\)
  3.90.19 \(\int \frac {180 e^{\frac {18}{x^2}}+3 x^3+2 e^{2 x} x^3}{5 x^3} \, dx\)
  3.90.20 \(\int \frac {-1-4 x+2 x^2+x^3}{-x+x^3} \, dx\)
  3.90.21 \(\int -\frac {1}{x \log (x) \log (\frac {3}{\log (x)})} \, dx\)
  3.90.22 \(\int \frac {15625000 x+78125000 x^2+(2500 x+25000 x^2) \log (9)+2 x^2 \log ^2(9)+(3125000+15625000 x+2500 x \log (9)) \log (x)}{15625 x} \, dx\)
  3.90.23 \(\int \frac {-3 e-3 e^6}{e x+e^6 x-4 x^4} \, dx\)
  3.90.24 \(\int \frac {(-1-7 x+8 x^2) \log (\frac {1}{4} (x+8 x^2))+(-x-16 x^2+(1+16 x) \log (x)+(x+8 x^2+(-1-8 x) \log (x)) \log (\frac {1}{4} (x+8 x^2))) \log (-25 x+25 \log (x))+(-2 x^3-16 x^4+(2 x^2+16 x^3) \log (x)) \log ^2(-25 x+25 \log (x))}{(-x^3-8 x^4+(x^2+8 x^3) \log (x)) \log ^2(-25 x+25 \log (x))} \, dx\)
  3.90.25 \(\int e^{-2 e^4-2 x} (-2 x-2 x^2+e^{2 e^4} (2-2 e^2-8 e x-8 x^2)+e^{e^4} (-2+4 x+8 x^2+e (2+4 x))) \, dx\)
  3.90.26 \(\int \frac {-1250+1300 x-440 x^2+48 x^3+e^{3-x} (100-112 x+38 x^2-4 x^3)+(-250+250 x-80 x^2+8 x^3+e^{3-x} (20-18 x+4 x^2)) \log (\frac {-25+e^{3-x} (2-x)+15 x-2 x^2}{-5+2 x})}{-625 x+625 x^2-200 x^3+20 x^4+e^{3-x} (50 x-45 x^2+10 x^3)+(-125 x+125 x^2-40 x^3+4 x^4+e^{3-x} (10 x-9 x^2+2 x^3)) \log (\frac {-25+e^{3-x} (2-x)+15 x-2 x^2}{-5+2 x})} \, dx\)
  3.90.27 \(\int \frac {2 x^4+(120+60 x-x^3) \log ^2(2)}{x^3 \log ^2(2)} \, dx\)
  3.90.28 \(\int \frac {2016+1260 x+252 x^2-320 x^3+(504+189 x+80 x^3) \log (4)}{256 x^3+128 x^4+16 x^5} \, dx\)
  3.90.29 \(\int \frac {-16 x^3+(32 x^2-32 x^3) \log (e (-1+x))+e^{6+2 x+2 \log ^2(x)} (-16 x+\log (e (-1+x)) (32 x-32 x^2+(64-64 x) \log (x)))+e^{3+x+\log ^2(x)} (-32 x^2+\log (e (-1+x)) (32 x-32 x^3+(64 x-64 x^2) \log (x)))}{-x+x^2} \, dx\)
  3.90.30 \(\int \frac {120-115 x+e^{-1+3 x} (-80+260 x-180 x^2)+e^{-2+6 x} (-120 x+120 x^2)+(-80+80 x+e^{-1+3 x} (-120 x+120 x^2)) \log (x^2)}{-x+x^2} \, dx\)
  3.90.31 \(\int \frac {4^{\frac {1}{x}} (e^x (x^2-\log (4))+e^{5 x-x^2} (5 x^2-2 x^3-\log (4))-2 \log (4)) \log (\log (\log (5)))}{x^2} \, dx\)
  3.90.32 \(\int \frac {e^{e^{-\frac {e^5+x}{2+x}} x^2-\frac {e^5+x}{2+x}} (8 x+6 x^2+e^5 x^2+2 x^3)}{4+4 x+x^2} \, dx\)
  3.90.33 \(\int e^{-x} (160 x+1360 x^2+2400 x^3-720 x^4+(240 x^2+880 x^3-240 x^4) \log (3)+(80 x^3-20 x^4) \log ^2(3)) \, dx\)
  3.90.34 \(\int \frac {12 x-3 x^2+e (-64+64 x-16 x^2)}{e (4-4 x+x^2)} \, dx\)
  3.90.35 \(\int \frac {e^{-4+\frac {25+40 \log (-3+x^2)+e^{4+e^x} x \log ^2(-3+x^2)+(16+e^4 x^2) \log ^2(-3+x^2)}{e^4 x \log ^2(-3+x^2)}} (-100 x^2+(75-105 x^2) \log (-3+x^2)+(120-40 x^2) \log ^2(-3+x^2)+e^{4+e^x+x} (-3 x^2+x^4) \log ^3(-3+x^2)+(48-16 x^2+e^4 (-3 x^2+x^4)) \log ^3(-3+x^2))}{(-3 x^2+x^4) \log ^3(-3+x^2)} \, dx\)
  3.90.36 \(\int \frac {-3 e^2 x^2-\log (5)}{(2 e^2 x^3+2 x \log (5)) \log (\frac {1}{4} (e^2 x^3+x \log (5)))} \, dx\)
  3.90.37 \(\int \frac {-36 x^4-162 e^4 x^4+81 x^4 \log (3)+e^{4 x} (-162 e^4+81 \log (3))+e^{3 x} (648 e^4 x-324 x \log (3))+e^{2 x} (-108 x^2-972 e^4 x^2+54 x^3+18 x^4+486 x^2 \log (3))+e^x (144 x^3+648 e^4 x^3-54 x^4-18 x^5-324 x^3 \log (3))}{324 e^8 x^4-36 e^4 x^5+x^6+(-324 e^4 x^4+18 x^5) \log (3)+81 x^4 \log ^2(3)+e^{4 x} (324 e^8-324 e^4 \log (3)+81 \log ^2(3))+e^{3 x} (-1296 e^8 x+1296 e^4 x \log (3)-324 x \log ^2(3))+e^{2 x} (1944 e^8 x^2-36 e^4 x^3+(-1944 e^4 x^2+18 x^3) \log (3)+486 x^2 \log ^2(3))+e^x (-1296 e^8 x^3+72 e^4 x^4+(1296 e^4 x^3-36 x^4) \log (3)-324 x^3 \log ^2(3))} \, dx\)
  3.90.38 \(\int \frac {e^{e^x+x} x^3+e^{e^{\frac {9}{x^2}+\frac {5}{x}}+e^{\frac {9}{x^2}} x} (e^{\frac {9}{x^2}+\frac {5}{x}} (-18-5 x)+e^{\frac {9}{x^2}} (-18 x+x^3))}{x^3} \, dx\)
  3.90.39 \(\int \frac {54-104 x-24 x^2+e^x (-2 x-56 x^2-8 x^3)+(56+16 x+e^x (56 x+8 x^2)) \log (x)}{-x-28 x^2-4 x^3+(28 x+4 x^2) \log (x)} \, dx\)
  3.90.40 \(\int \frac {864+32 x-2 x^2+e^{-3 e^5+3 x} (576+1728 x-216 x^2)+e^{-6 e^5+6 x} (96+576 x-72 x^2)}{2916 x^2+432 e^{-9 e^5+9 x} x^2+36 e^{-12 e^5+12 x} x^2+108 x^3+x^4+e^{-6 e^5+6 x} (1944 x^2+12 x^3)+e^{-3 e^5+3 x} (3888 x^2+72 x^3)} \, dx\)
  3.90.41 \(\int \frac {9 e^2 x}{2} \, dx\)
  3.90.42 \(\int \frac {9 e^5+x^2+e^x (225-225 x-9 x^2)}{x^2} \, dx\)
  3.90.43 \(\int (2+10 e^{2-10 e^{2+x}+x}) \, dx\)
  3.90.44 \(\int \frac {-5 e+x^2-e^{1+x} x^2}{e x^2} \, dx\)
  3.90.45 \(\int \frac {e^{-e^{\frac {80+e^x+36 x+24 x^2+4 x^3}{16+4 x+4 x^2}}} (64+32 x+36 x^2+8 x^3+4 x^4+e^{\frac {80+e^x+36 x+24 x^2+4 x^3}{16+4 x+4 x^2}} (-64 x-32 x^2-36 x^3-8 x^4-4 x^5+e^x (-3 x+x^2-x^3)))}{16+8 x+9 x^2+2 x^3+x^4} \, dx\)
  3.90.46 \(\int \frac {100-40 x^2+4 x^4+e^9 (5 x+x^3)}{100 x-40 x^3+4 x^5} \, dx\)
  3.90.47 \(\int \frac {e^6 x^2 (-40+100 x-102 x^2+48 x^3-10 x^4+(40-50 x+34 x^2-12 x^3+2 x^4) \log (20 x-25 x^2+17 x^3-6 x^4+x^5))}{(20 x-25 x^2+17 x^3-6 x^4+x^5) \log ^3(20 x-25 x^2+17 x^3-6 x^4+x^5)} \, dx\)
  3.90.48 \(\int \frac {-2 x+e^x (-x+x^2)+e^x (-x-x^2) \log (e^{-x} x)-4 \log (x^2)}{x} \, dx\)
  3.90.49 \(\int \frac {-192+96 x-60 x^2-104 x^3+13 x^4-32 x^5+4 x^6+\frac {1}{4} e (4+x^2) (-128 x^3+64 x^4-8 x^5)}{256 x^2-128 x^3+80 x^4-32 x^5+4 x^6} \, dx\)
  3.90.50 \(\int e^{3 e^x+e^{3 e^x-12 x \log (3)} x-12 x \log (3)} (1+3 e^x x-12 x \log (3)) \, dx\)
  3.90.51 \(\int \frac {-6640625-516 x^4+(796875+20 x^4) \log (x^2)-31875 \log ^2(x^2)+425 \log ^3(x^2)}{-390625+46875 \log (x^2)-1875 \log ^2(x^2)+25 \log ^3(x^2)} \, dx\)
  3.90.52 \(\int \frac {e^{\frac {e^{3+x} (25-x)+e^{x^2} x}{x}} (2 e^{x^2} x^3+e^{3+x} (-25+25 x-x^2))}{x^2} \, dx\)
  3.90.53 \(\int \frac {e^x}{-1080-135 e^5+e^x} \, dx\)
  3.90.54 \(\int \frac {-2+e^{\frac {1}{2} (x+x^3)} (-6+3 x-x^2+(9-3 x) x^3)+2 \log (x)+(e^{\frac {1}{2} (x+x^3)} (-6+2 x)+2 \log (x)) \log (\frac {x}{e^{\frac {1}{2} (x+x^3)} (-3+x)+\log (x)})}{e^{\frac {1}{2} (x+x^3)} (-6+2 x)+2 \log (x)} \, dx\)
  3.90.55 \(\int \frac {(-8+2 x) \log (5 x)+((-8+2 x) \log (x)+(-16+2 x) \log (x) \log (5 x)) \log (\log (x))}{x^3 \log (x) \log ^2(5 x) \log ^2(\log (x))} \, dx\)
  3.90.56 \(\int \frac {100+4 e^{10}+4 e^{2 x}-360 x+334 x^2-9 x^3+e^5 (-40+72 x-2 x^2)+e^x (-40+8 e^5+72 x-2 x^2+x^3)}{100 x+4 e^{10} x+4 e^{2 x} x-360 x^2+324 x^3+e^5 (-40 x+72 x^2)+e^x (-40 x+8 e^5 x+72 x^2)} \, dx\)
  3.90.57 \(\int \frac {(-7+5 x^2) \log (\frac {1}{5} (7-5 x^2))+(10 x^2+(7-5 x^2) \log (\frac {1}{5} (7-5 x^2))+\log (\frac {5}{x}) (10 x^2+(7-5 x^2) \log (\frac {1}{5} (7-5 x^2)))) \log (1+\log (\frac {5}{x}))+(-7 x+5 x^3+(-7 x+5 x^3) \log (\frac {5}{x})) \log ^2(1+\log (\frac {5}{x}))}{(-7 x^2+5 x^4+(-7 x^2+5 x^4) \log (\frac {5}{x})) \log ^2(1+\log (\frac {5}{x}))} \, dx\)
  3.90.58 \(\int \frac {e^{e^5-x} (e^3 (-x^2+x^3)+e^{-e^5+x} (3+9 x^4))}{3 x^2} \, dx\)
  3.90.59 \(\int \frac {800+e^5 (20-200 x)+1000 x+e^{10} (-10+12 x)}{e^{10}} \, dx\)
  3.90.60 \(\int \frac {-8 e^{\frac {1}{4} (4 x^3+x^3 \log (5))} x+e^{\frac {1}{2} (4 x^3+x^3 \log (5))} (60 x^2+12 x^4+(15 x^2+3 x^4) \log (5))+(8 x+e^{\frac {1}{4} (4 x^3+x^3 \log (5))} (-60 x^2-12 x^4+(-15 x^2-3 x^4) \log (5))) \log (5+x^2)}{10+2 x^2} \, dx\)
  3.90.61 \(\int \frac {9+18 x^2-72 x^3+90 x^4-36 x^5+e^x (9-9 x+18 x^2-54 x^3+36 x^4)}{x+e^x x-x^2} \, dx\)
  3.90.62 \(\int 1024 e^{-4+4 x} \, dx\)
  3.90.63 \(\int \frac {13122+34992 x+40824 x^2+27216 x^3+11340 x^4+3024 x^5+504 x^6+48 x^7+2 x^8+(162+216 x+108 x^2+24 x^3+2 x^4) \log (4 x)+(81+324 x+378 x^2+192 x^3+45 x^4+4 x^5) \log ^2(4 x)+2 x^2 \log ^4(4 x)}{6561+17496 x+20412 x^2+13608 x^3+5670 x^4+1512 x^5+252 x^6+24 x^7+x^8+(162 x+216 x^2+108 x^3+24 x^4+2 x^5) \log ^2(4 x)+x^2 \log ^4(4 x)} \, dx\)
  3.90.64 \(\int \frac {1}{7+e^{64}} \, dx\)
  3.90.65 \(\int \frac {e^x (4 x-8 x^2)+e (-2 x^2-x^3)+(-4 e^x x+e (-4 x-2 x^2)) \log (\frac {2}{x})+e (-2-x) \log ^2(\frac {2}{x})}{5 e^{1+x} x^5+10 e^{1+x} x^4 \log (\frac {2}{x})+5 e^{1+x} x^3 \log ^2(\frac {2}{x})} \, dx\)
  3.90.66 \(\int \frac {5 e^{8+18 x} x^2+5 x^4+e^{.\frac {2}{5}/x} (-9 x+15 x^2)+e^{4+9 x} (10 x^3+e^{.\frac {2}{5}/x} (6+135 x^2))+(-6 e^{.\frac {2}{5}/x}-10 e^{4+9 x} x^2-10 x^3) \log (x)+5 x^2 \log ^2(x)}{60 e^{8+18 x} x^2+120 e^{4+9 x} x^3+60 x^4+(-120 e^{4+9 x} x^2-120 x^3) \log (x)+60 x^2 \log ^2(x)} \, dx\)
  3.90.67 \(\int \frac {e^{\frac {1}{9} (-1-e^{2 x+x \log (2+x)}-10 x)} (90-55 x-50 x^2+e^{2 x+x \log (2+x)} (-20 x-15 x^2+(-10 x-5 x^2) \log (2+x)))}{18+9 x} \, dx\)
  3.90.68 \(\int \frac {1}{3} e^{-\frac {1}{3} e^{e^5} (e^{4-e^3 x}+x)} (3+3 e^{\frac {1}{3} e^{e^5} (e^{4-e^3 x}+x)}+e^{e^5} (3+e^{7-e^3 x} (-3+x)-x)) \, dx\)
  3.90.69 \(\int \frac {1}{2} (2+e^{2+2 x+e^{2 x} (2+2 x)+(-2-2 x) \log (x)} (-1+e^{2 x} (6 x+4 x^2)-2 x \log (x))) \, dx\)
  3.90.70 \(\int \frac {-48+64 e+32 x+e^{x^2} (48-64 e-32 x+128 x^2)+(-64+64 e^{x^2}) \log (-x+e^{x^2} x)}{-x^2-16 e^2 x^2-2 x^3-x^4+e (-8 x^2-8 x^3)+e^{x^2} (x^2+16 e^2 x^2+2 x^3+x^4+e (8 x^2+8 x^3))+(8 x^2+32 e x^2+8 x^3+e^{x^2} (-8 x^2-32 e x^2-8 x^3)) \log (-x+e^{x^2} x)+(-16 x^2+16 e^{x^2} x^2) \log ^2(-x+e^{x^2} x)} \, dx\)
  3.90.71 \(\int \frac {25 e^{2 e^3}+125 x^4-100 x^5+e^{e^3} (150 x^2-100 x^3)+e^{2 e^{x+x^2}} (5 x^4-4 x^5+e^{x+x^2} (2 x^5+2 x^6-4 x^7)+e^{2 e^3} (1+e^{x+x^2} (2 x+2 x^2-4 x^3))+e^{e^3} (6 x^2-4 x^3+e^{x+x^2} (4 x^3+4 x^4-8 x^5)))+e^{e^{x+x^2}} (-50 x^4+40 x^5+e^{x+x^2} (-10 x^5-10 x^6+20 x^7)+e^{2 e^3} (-10+e^{x+x^2} (-10 x-10 x^2+20 x^3))+e^{e^3} (-60 x^2+40 x^3+e^{x+x^2} (-20 x^3-20 x^4+40 x^5)))}{1-2 x+x^2} \, dx\)
  3.90.72 \(\int \frac {1-144 x-96 x^2+(-720 x-480 x^2) \log (5)+(-900 x-600 x^2) \log ^2(5)}{x} \, dx\)
  3.90.73 \(\int \frac {-196 e-196 e^3}{e^2 x^2} \, dx\)
  3.90.74 \(\int \frac {e^{-3+x}+10 x+e^{-3+x} x \log (x)}{5 x} \, dx\)
  3.90.75 \(\int \frac {e^{4-x} (4+(-4-2 x) \log (\frac {4}{x^2}))}{5 x^3 \log ^2(\frac {4}{x^2})} \, dx\)
  3.90.76 \(\int \frac {e^{\frac {4 e^2+x^2+e^2 \log (x)}{e^2}} (12 x^2+4 x^4+e^2 (6+6 x^2))}{e^5 x+e^{2+\frac {4 e^2+x^2+e^2 \log (x)}{e^2}} (6 x+2 x^3)} \, dx\)
  3.90.77 \(\int \frac {e^{-4 x^2} (2 x^4+(12 x^3-4 x^4-24 x^5+8 x^6) \log (-3+x))}{(-3+x) \log ^3(-3+x)} \, dx\)
  3.90.78 \(\int (5+e^8 (40-20 x)+e^{16} (-40 x+15 x^2)) \, dx\)
  3.90.79 \(\int \frac {(-1920 x-576 x^2+e^{4/x} (640 x+192 x^2)) \log (-3+e^{4/x}) \log (\log (-3+e^{4/x}))+512 e^{4/x} \log (\frac {5}{\log (\log (-3+e^{4/x}))})+(-384 x+128 e^{4/x} x) \log (-3+e^{4/x}) \log (\log (-3+e^{4/x})) \log ^2(\frac {5}{\log (\log (-3+e^{4/x}))})}{(-3+e^{4/x}) \log (-3+e^{4/x}) \log (\log (-3+e^{4/x}))} \, dx\)
  3.90.80 \(\int \frac {-60+20 x+40 x^2-32 x^3+(-20+20 x) \log (1-2 x+x^2)}{-225+1515 x-3379 x^2+2777 x^3-752 x^4+64 x^5+(-150+610 x-626 x^2+182 x^3-16 x^4) \log (1-2 x+x^2)+(-25+35 x-11 x^2+x^3) \log ^2(1-2 x+x^2)} \, dx\)
  3.90.81 \(\int (250+10 x+e^{30 x-21 x^2+3 x^3} (270-378 x+81 x^2)) \, dx\)
  3.90.82 \(\int e^{-4-x} (-9 e^2+e^{2 x}-4 e^{x+x^2} x+3 e^{1+x^2} (-2+4 x)+e^{2 x^2} (-1+4 x)) \, dx\)
  3.90.83 \(\int \frac {-2+4 x^2-2 x^3+e^x (-2 x-4 x^2+x^4+2 x^5+e^3 (4 x-2 x^4))+e^x (-x-3 x^2-x^3+2 x^4+e^3 (2 x+2 x^2-2 x^3)) \log (1+x-x^2)+\log (x) (e^x (4 x-2 x^4)+e^x (2 x+2 x^2-2 x^3) \log (1+x-x^2))}{x+3 x^2+x^3-2 x^4+e^3 (-2 x-2 x^2+2 x^3)+(-2 x-2 x^2+2 x^3) \log (x)} \, dx\)
  3.90.84 \(\int \frac {-3-7 x^2+9 x^3-2 x^4+3 x^5+(3-9 x-16 x^2-12 x^3-9 x^4+3 x^5) \log (x)}{-x^2+3 x^3-3 x^4+x^5} \, dx\)
  3.90.85 \(\int \frac {-150+e^x (-28+8 x+4 x^2)+40 \log (4)}{15-30 x+15 x^2} \, dx\)
  3.90.86 \(\int \frac {1536 x+640 x^2-96 x^3-72 x^4-8 x^5+e^x (-384-64 x+40 x^2+8 x^3)+(4 e^{3 x}+e^{2 x} (96-112 x-16 x^2+8 x^3)+e^x (-384 x+288 x^2+144 x^3-20 x^4-8 x^5)) \log (x)+(-1536-640 x+96 x^2+72 x^3+8 x^4+(-1536 x-384 x^2+288 x^3+120 x^4+12 x^5+e^{2 x} (48+12 x)+e^x (768-416 x-280 x^2+8 x^4)) \log (x)) \log (\log (x))+(1536+128 x-480 x^2-168 x^3-16 x^4+e^x (192+96 x+12 x^2)) \log (x) \log ^2(\log (x))+(256+192 x+48 x^2+4 x^3) \log (x) \log ^3(\log (x))}{e^{3 x} \log (x)+e^{2 x} (12+3 x) \log (x) \log (\log (x))+e^x (48+24 x+3 x^2) \log (x) \log ^2(\log (x))+(64+48 x+12 x^2+x^3) \log (x) \log ^3(\log (x))} \, dx\)
  3.90.87 \(\int \frac {9-6 x^2-3 \log (x)+(-6+8 x-8 x^2+6 x^3+(3-3 x) \log (x)) \log (\frac {6-2 x+6 x^2-3 \log (x)}{x})}{(-6 x+2 x^2-6 x^3+3 x \log (x)) \log (\frac {6-2 x+6 x^2-3 \log (x)}{x})} \, dx\)
  3.90.88 \(\int \frac {-e^{1+x} x^3+e (-32+x^3)+x^3 \log (2)}{e x^3} \, dx\)
  3.90.89 \(\int \frac {220-5 x+e^{2+x} (-44+21 x)}{-20 x+4 e^{2+x} x} \, dx\)
  3.90.90 \(\int \frac {16+8 x^2+x^4+e^{5+x} (-16 x-8 x^3-x^5)+e^5 (-4 x+x^3) \log (2)+(e^x (-16 x-8 x^3-x^5)+(-4 x+x^3) \log (2)) \log (\frac {x}{4})}{e^5 (256 x+128 x^3+16 x^5)+(256 x+128 x^3+16 x^5) \log (\frac {x}{4})} \, dx\)
  3.90.91 \(\int \frac {2 \log (\frac {1-\log (2 x)}{e})}{4 x-4 x \log (2 x)+(-x+x \log (2 x)) \log ^2(\frac {1-\log (2 x)}{e})} \, dx\)
  3.90.92 \(\int \frac {-20 x+(50+20 x) \log (\frac {1}{2} (5+2 x))}{605 x^2+242 x^3+(1100 x+440 x^2) \log (\frac {1}{2} (5+2 x))+(500+200 x) \log ^2(\frac {1}{2} (5+2 x))} \, dx\)
  3.90.93 \(\int \frac {e^{\frac {1}{4} (-12-x^3-4 x^4+4 \log (\frac {e^{-x} x}{10}))} (4-4 x-3 x^3-16 x^4)}{4 x} \, dx\)
  3.90.94 \(\int \frac {x+e^4 \log ^2(3)}{x^2} \, dx\)
  3.90.95 \(\int \frac {-9-2 e^{\frac {1}{5} (2+e^3)} x+x^2+x^4+2 x^5}{x^4} \, dx\)
  3.90.96 \(\int \frac {2+4 \log (x)}{x \log (x)} \, dx\)
  3.90.97 \(\int \frac {e^{-e^x-2 x} (10 e^{2 x}+5 e^{3 x} x-50 e^{e^x} x^3+e^{2 e^x+x} (e^{3 x} x^2+e^{2 x} (-x+x^2)))}{x^3} \, dx\)
  3.90.98 \(\int -8388608 e^{-10+6 e^{5 e^5}-8 x} \, dx\)
  3.90.99 \(\int \frac {e^{8-2 e^{e^{1+x}}-\frac {6}{x^2}} (12-2 e^{1+e^{1+x}+x} x^3)}{x^3} \, dx\)
  3.90.100 \(\int \frac {35 x^3+7 x^4+e^{3 x} (5 x^3-2 x^4)+(28 x^3+4 e^{3 x} x^3) \log (\frac {3 e^x x}{28+4 e^{3 x}})}{7+e^{3 x}} \, dx\)