3.37 Integrals 3601 to 3700

  3.37.1 \(\int \frac {-180 x^2+60 x^3+e^{\frac {1}{4} (3+4 x)} (-36 x^2+24 x^3-3 x^4)+e^x (36 x^2-24 x^3+3 x^4)}{25-10 e^x+e^{2 x}+e^{\frac {1}{2} (3+4 x)}+e^{\frac {1}{4} (3+4 x)} (10-2 e^x)} \, dx\)
  3.37.2 \(\int \frac {1530+1002 x-2902 x^2+1394 x^3-186 x^4+2 x^5+(-1530 x+1038 x^2-182 x^3+2 x^4) \log (x)+(18+12 x-34 x^2+16 x^3-2 x^4+(-18 x+12 x^2-2 x^3) \log (x)) \log (\frac {-4 x+x^2+(-3+x) \log (x)}{-3+x})}{12 x^2-7 x^3+x^4+(9 x-6 x^2+x^3) \log (x)} \, dx\)
  3.37.3 \(\int \frac {-54 x^2+27 x^4-3 \log (5)}{x^2} \, dx\)
  3.37.4 \(\int (-3 e^{3 x}+e^{2 x} (-2+4 e^4-4 x)+e^x (-e^8-2 x-x^2+e^4 (2+2 x))) \, dx\)
  3.37.5 \(\int \frac {\log (\frac {e^3}{x}) (-1+\log (x))+\log (x)}{\log ^2(\frac {e^3}{x}) \log ^2(x)} \, dx\)
  3.37.6 \(\int \frac {1+5 x-3 e^{e^x+x} x+4 x^2+2 x \log (x)}{x} \, dx\)
  3.37.7 \(\int \frac {e^3 (8 x^2-8 e x^2)+(e^3 (-4 x+4 e x)+(-2+2 e) \log (2)) \log (5)}{16 e^3 x^2-8 e^3 x \log (5)+e^3 \log ^2(5)} \, dx\)
  3.37.8 \(\int \frac {e^{\frac {-1+\log (\frac {4}{x})}{-5+2 e^x+x}} (-5+e^x (2-2 x)+(x+2 e^x x) \log (\frac {4}{x}))}{25 x+4 e^{2 x} x-10 x^2+x^3+e^x (-20 x+4 x^2)} \, dx\)
  3.37.9 \(\int \frac {e^x (80 x^2+85 x^3+30 x^4+e^4 (75+75 x+25 x^2)+e^2 (15-165 x-165 x^2-55 x^3))}{9 x^2+6 x^3+x^4+e^4 (9+6 x+x^2)+e^2 (-18 x-12 x^2-2 x^3)} \, dx\)
  3.37.10 \(\int \frac {1000+1000 x+e^{x^2} (80 x-20 x^2-200 x^3-200 x^4)+e^{2 x^2} (-2 x^2-20 x^4)+(-600-1600 x-1000 x^2+4 e^{2 x^2} x^4+e^{x^2} (-36 x-96 x^2+80 x^3+80 x^4)) \log (x)+(120+1220 x+600 x^2+e^{x^2} (4 x+30 x^2-8 x^3-108 x^4)) \log ^2(x)+(-8-428 x-620 x^2+e^{x^2} (-2 x^2+40 x^4)) \log ^3(x)+(68 x+308 x^2-4 e^{x^2} x^4) \log ^4(x)+(-4 x-60 x^2) \log ^5(x)+4 x^2 \log ^6(x)}{-125 x^3+75 x^3 \log (x)-15 x^3 \log ^2(x)+x^3 \log ^3(x)} \, dx\)
  3.37.11 \(\int e^{-4-x} (-e^{4+x}-30 x^2+10 x^3) \, dx\)
  3.37.12 \(\int \frac {75+27 e^4+18 x+27 x^2+e^2 (18+54 x)}{25+9 e^4+18 e^2 x+9 x^2} \, dx\)
  3.37.13 \(\int \frac {1}{125} (-2 e^5+250 x) \, dx\)
  3.37.14 \(\int \frac {3+16 x-16 x^2+196 x^3-192 x^4+480 x^5-432 x^6+108 x^7+e^{2 x} (288 x^3-144 x^4-72 x^5+36 x^6)+e^x (144 x^2-96 x^3+708 x^4-564 x^5+36 x^6+36 x^7)}{8-8 x+2 x^2} \, dx\)
  3.37.15 \(\int \frac {e^{-x} (-x+e^x (3 x^3-3 x^2 \log (3))+(-x+x^2+(1-x) \log (3)) \log (x-\log (3)))}{-x+\log (3)} \, dx\)
  3.37.16 \(\int \frac {-4624+680 x+876 x^2+96 x^3}{-1156 x-119 x^2+83 x^3+12 x^4} \, dx\)
  3.37.17 \(\int \frac {75-100 x^3+e^{e^x+x} (45 x^2-30 x^5+5 x^8)}{9 x^2-6 x^5+x^8} \, dx\)
  3.37.18 \(\int \frac {145 x+50 x^2+5 x^3+e^{-x} x (-25+15 x+9 x^2+x^3)}{100 x+40 x^2+4 x^3} \, dx\)
  3.37.19 \(\int \frac {5-x+(5-51 x+20 x^2-2 x^3) \log (x) \log (\log (x))+5 \log (x) \log (\log (x)) \log (\frac {1}{5} x \log (\log (x)))}{(50 x^4-20 x^5+2 x^6) \log (x) \log (\log (x))+(-20 x^3+4 x^4) \log (x) \log (\log (x)) \log (\frac {1}{5} x \log (\log (x)))+2 x^2 \log (x) \log (\log (x)) \log ^2(\frac {1}{5} x \log (\log (x)))} \, dx\)
  3.37.20 \(\int \frac {e^9 (15+10 x)+e^4 (45+30 x)+(15 e^4+5 e^9) \log (3)}{9 x^2+6 x^3+x^4+(6 x^2+2 x^3) \log (3)+x^2 \log ^2(3)} \, dx\)
  3.37.21 \(\int \frac {1}{3} e^{\frac {1}{3} (2 e^{e^{20}} x-9 x^2)} (-3-2 e^{e^{20}} x+18 x^2) \, dx\)
  3.37.22 \(\int \frac {-12 x^2-10 x^3+e^{2-2 x} (6 x^2+9 x^3+5 x^4)}{1536+3840 x+2400 x^2+e^{2-2 x} (-1536-3840 x-2400 x^2)+e^{4-4 x} (384+960 x+600 x^2)} \, dx\)
  3.37.23 \(\int \frac {-x^4+e^{\frac {5-x+2 x^2-2 x \log (2)}{-x^2+x \log (2)}} (10 x-x^2-5 \log (2))+2 x^3 \log (2)-x^2 \log ^2(2)}{x^4-2 x^3 \log (2)+x^2 \log ^2(2)} \, dx\)
  3.37.24 \(\int \frac {e^{-2 x} (-48-288 x-640 x^2-768 x^3-768 x^4-512 x^5)}{2401 x^4} \, dx\)
  3.37.25 \(\int -\frac {64 x^3}{-715+16 x^4} \, dx\)
  3.37.26 \(\int \frac {625+75 e^{2 x}-5 e^{3 x}+e^x (-575+80 x-8 x^2)}{-3125+1250 x-125 x^2+e^{2 x} (-375+150 x-15 x^2)+e^{3 x} (25-10 x+x^2)+e^x (1875-750 x+75 x^2)} \, dx\)
  3.37.27 \(\int \frac {4+e^{2 x} (-1-x)-x^2}{2-2 x+e^{2 x} x-x^2} \, dx\)
  3.37.28 \(\int \frac {e^x (1-2 x-2560 x^2)+1280 e^x x \log (2 x)+(-2 e^x x^2+e^x x \log (2 x)) \log (2 x-\log (2 x))}{-512 x^2+256 x \log (2 x)} \, dx\)
  3.37.29 \(\int \frac {-524880 x^2-430920 x^3-102960 x^4-10078 x^5-437 x^6-7 x^7+(1574640 x^2+677806 x^3+118800 x^4+9944 x^5+395 x^6+6 x^7) \log (x)+(-9715 x^2-2737 x^3-266 x^4-8 x^5) \log ^2(x)+(15 x^2+2 x^3) \log ^3(x)}{x^2+(-10 x-2 x^2) \log (x)+(25+10 x+x^2) \log ^2(x)} \, dx\)
  3.37.30 \(\int \frac {-15 e^{\frac {5}{4 x^2}}+4 x^3-4 e^{2 x} x^3+4 x^4-12 x^5-8 x^6+e^x (12 x^4+4 x^5)}{2 x^3} \, dx\)
  3.37.31 \(\int \frac {1125-450 x+45 x^2+12095 x^4-4879 x^5+492 x^6+(-615 x^4+82 x^5) \log (x)}{225 x^2-90 x^3+9 x^4} \, dx\)
  3.37.32 \(\int \frac {e^{3-\frac {20 e^3 x^3}{-3+2 x}} (180 x^2-80 x^3)}{27-36 x+12 x^2} \, dx\)
  3.37.33 \(\int \frac {21}{-125+21 x} \, dx\)
  3.37.34 \(\int \frac {1}{18} e^{4 x} (x-4 x^2-12 x^3+26 x^4+51 x^5+18 x^6) \, dx\)
  3.37.35 \(\int \frac {-108 x^2+e^{\frac {e^x}{x}} (e^x (162-162 x)-162 x) \log (x)+(108 x^2-486 x^3) \log (x)+(36 x+(-36 x+216 x^2) \log (x)) \log (\frac {x}{2 \log (x)})-18 x \log (x) \log ^2(\frac {x}{2 \log (x)})}{81 e^{\frac {2 e^x}{x}} x^3 \log (x)+162 e^{\frac {e^x}{x}} x^5 \log (x)+81 x^7 \log (x)+(-108 e^{\frac {e^x}{x}} x^4 \log (x)-108 x^6 \log (x)) \log (\frac {x}{2 \log (x)})+(18 e^{\frac {e^x}{x}} x^3 \log (x)+54 x^5 \log (x)) \log ^2(\frac {x}{2 \log (x)})-12 x^4 \log (x) \log ^3(\frac {x}{2 \log (x)})+x^3 \log (x) \log ^4(\frac {x}{2 \log (x)})} \, dx\)
  3.37.36 \(\int \frac {-x^4+(4+x^5) \log (x)+e^{-3+e^x+x} (x^5+e^x x^5) \log (x)}{x^5 \log (x)} \, dx\)
  3.37.37 \(\int \frac {-16-32 x-175 x^2-158 x^3-389 x^4+10 x^5+25 x^6+(-8 x^2-8 x^3-40 x^4) \log (x)+(-4 x^2+20 x^4) \log ^2(x)}{x^2+2 x^3+11 x^4+10 x^5+25 x^6} \, dx\)
  3.37.38 \(\int \frac {25+e^{2 x}+e^{4 x}-40 x+61 x^2-24 x^3+e^x (10-8 x+9 x^2-3 x^3)+e^{2 x} (-10-2 e^x+8 x-9 x^2+6 x^3)}{25+e^{2 x}+e^{4 x}+e^x (10-8 x)-40 x+16 x^2+e^{2 x} (-10-2 e^x+8 x)} \, dx\)
  3.37.39 \(\int \frac {e^{\frac {-150+10 e^{2 e^5 x^2}+2 x}{-15+e^{2 e^5 x^2}}} (-30+e^{2 e^5 x^2} (2-8 e^5 x^2))}{225-30 e^{2 e^5 x^2}+e^{4 e^5 x^2}} \, dx\)
  3.37.40 \(\int \frac {e^{\frac {x^2}{9+e^{2 e^{-x+x^2 \log (x)} x}-6 x^2+x^4+e^{e^{-x+x^2 \log (x)} x} (6-2 x^2)}} (e^{x-x^2 \log (x)} (6 x+2 x^3)+e^{e^{-x+x^2 \log (x)} x} (2 e^{x-x^2 \log (x)} x-2 x^2+2 x^3-2 x^4-4 x^4 \log (x)))}{e^{x+3 e^{-x+x^2 \log (x)} x-x^2 \log (x)}+e^{x+2 e^{-x+x^2 \log (x)} x-x^2 \log (x)} (9-3 x^2)+e^{x+e^{-x+x^2 \log (x)} x-x^2 \log (x)} (27-18 x^2+3 x^4)+e^{x-x^2 \log (x)} (27-27 x^2+9 x^4-x^6)} \, dx\)
  3.37.41 \(\int \frac {25 e^2-40 x^3-12 x^4+400 x^6+160 x^7+16 x^8+e (5+200 x^3+40 x^4)+e^{2 x} (400 x^4+160 x^5+16 x^6)+e^x (-20 x^2-28 x^3-4 x^4+800 x^5+320 x^6+32 x^7+e (200 x^2+40 x^3))}{50 e^2+800 x^6+320 x^7+32 x^8+e (400 x^3+80 x^4)+e^{2 x} (800 x^4+320 x^5+32 x^6)+e^x (1600 x^5+640 x^6+64 x^7+e (400 x^2+80 x^3))} \, dx\)
  3.37.42 \(\int \frac {74 e^{e^3} x-56 e^{e^3} x \log (3 x^2)+10 e^{e^3} x \log ^2(3 x^2)}{9-6 \log (3 x^2)+\log ^2(3 x^2)} \, dx\)
  3.37.43 \(\int (-1+4 e^x-3 x+x^2+(-2 x+3 x^2) \log (x)) \, dx\)
  3.37.44 \(\int \frac {5}{2} e^{\frac {2+x}{2}} \, dx\)
  3.37.45 \(\int \frac {8+2 x-2 x^2+x^3}{4 x-4 x^2+x^3} \, dx\)
  3.37.46 \(\int \frac {1+x+e^5 (3+x)+e^5 \log (x)+(3+x+\log (x)) \log (-3-x-\log (x))+(e^5 (-6-2 x)-2 e^5 \log (x)+(-6-2 x-2 \log (x)) \log (-3-x-\log (x))) \log (\frac {e^5 x+x \log (-3-x-\log (x))}{e^5})}{e^5 (3 x^3+x^4)+e^5 x^3 \log (x)+(3 x^3+x^4+x^3 \log (x)) \log (-3-x-\log (x))} \, dx\)
  3.37.47 \(\int \frac {-300+270 x-72 x^2+6 x^3+e^4 (-12+6 x)+e^2 (-120+84 x-12 x^2)+e^{\frac {1}{5+e^2-x}} (-50+e^4 (-2+x)+43 x-13 x^2+x^3+e^2 (-20+14 x-2 x^2))+(-600-24 e^4+240 x-24 x^2+e^2 (-240+48 x)+e^{\frac {1}{5+e^2-x}} (-100-4 e^4+36 x-6 x^2+e^2 (-40+8 x))) \log (2+x)+(-300+e^4 (-12-6 x)-30 x+48 x^2-6 x^3+e^2 (-120-36 x+12 x^2)+e^{\frac {1}{5+e^2-x}} (-50+e^4 (-2-x)-7 x+7 x^2-x^3+e^2 (-20-6 x+2 x^2))) \log ^2(2+x)}{1800 x^2+180 x^3-288 x^4+36 x^5+e^4 (72 x^2+36 x^3)+e^2 (720 x^2+216 x^3-72 x^4)+e^{\frac {1}{5+e^2-x}} (600 x^2+60 x^3-96 x^4+12 x^5+e^4 (24 x^2+12 x^3)+e^2 (240 x^2+72 x^3-24 x^4))+e^{\frac {2}{5+e^2-x}} (50 x^2+5 x^3-8 x^4+x^5+e^4 (2 x^2+x^3)+e^2 (20 x^2+6 x^3-2 x^4))} \, dx\)
  3.37.48 \(\int \frac {e^{-x} (9 e^x x+e^{e^{-x} (e^x (5-e^2)-x+e^x \log (x^2))} (-2 e^x+x-x^2))}{x} \, dx\)
  3.37.49 \(\int \frac {(16-8 x+x^2) \log ^2(3)+(-16-60 x+32 x^2-4 x^3) \log (x)-4 x \log ^2(x)+((16+60 x-32 x^2+4 x^3) \log (x)+4 x \log ^2(x)) \log (\log (x))+((-4-15 x+8 x^2-x^3) \log (x)-x \log ^2(x)) \log ^2(\log (x))}{(64 x-32 x^2+4 x^3) \log (x)+(-64 x+32 x^2-4 x^3) \log (x) \log (\log (x))+(16 x-8 x^2+x^3) \log (x) \log ^2(\log (x))} \, dx\)
  3.37.50 \(\int \frac {-2+2 x+x^2+(1+2 x+x^2) \log (3 x)}{1+2 x+x^2} \, dx\)
  3.37.51 \(\int -\frac {20}{x \log (\frac {2 x^2}{1+\log (\log (5))})} \, dx\)
  3.37.52 \(\int \frac {e^{-4 x} (-25-10 x-x^2+(-25-100 x-39 x^2-4 x^3) \log (\frac {5}{x}))}{x^2} \, dx\)
  3.37.53 \(\int \frac {e^{e^{4/x}} (-8 e^{4/x}-2 x)}{e^{8+2 e^{4/x}} x-2 e^{8+e^{4/x}} x^2+e^8 x^3} \, dx\)
  3.37.54 \(\int \frac {3-3 x+e^x (-9 x-28 x^2+23 x^3+14 x^4)+(e^x (9 x+14 x^2)-3 \log (x)) \log (\frac {1}{3} (e^x (-9 x-14 x^2)+3 \log (x)))}{e^x (-9 x^3-14 x^4)+3 x^2 \log (x)} \, dx\)
  3.37.55 \(\int \frac {1}{625} (625+3000 x+8775 x^2+12400 x^3+12960 x^4+7936 x^5+1792 x^6+(1100 x+3000 x^2+5280 x^3+4992 x^4+1536 x^5) \log (x)+(100 x+510 x^2+1008 x^3+480 x^4) \log ^2(x)+(64 x^2+64 x^3) \log ^3(x)+3 x^2 \log ^4(x)) \, dx\)
  3.37.56 \(\int \frac {-119+61 x+e^x (-x-121 x^2+60 x^3)+(60+60 e^x x^2) \log (x)}{300 x-150 x^2+e^x (-300 x^2+150 x^3)+(-150 x+150 e^x x^2) \log (x)} \, dx\)
  3.37.57 \(\int \frac {e^{e^{\frac {e^{x^2}}{x}}} (10 x^2+2 x^3+e^{\frac {e^{x^2}}{x}+x^2} (-25-10 x+49 x^2+20 x^3+2 x^4))}{x^2} \, dx\)
  3.37.58 \(\int \frac {e^{20} (548371200000000 x^3+172947840000000 x^4+23828513280000 x^5+1873311897600 x^6+91912863744 x^7+2882018304 x^8+56398848 x^9+629760 x^{10}+3072 x^{11})}{152587890625 x^8+48828125000 x^9+6835937500 x^{10}+546875000 x^{11}+27343750 x^{12}+875000 x^{13}+17500 x^{14}+200 x^{15}+x^{16}+e^{40} (218971048064843776+67375707096875008 x+9069806724579328 x^2+697677440352256 x^3+33542184632320 x^4+1032067219456 x^5+19847446528 x^6+218103808 x^7+1048576 x^8)+e^{20} (365580800000000 x^4+114736128000000 x^5+15753287680000 x^6+1235891404800 x^7+60596226048 x^8+1901371392 x^9+37285888 x^{10}+417792 x^{11}+2048 x^{12})} \, dx\)
  3.37.59 \(\int \frac {-e^3+2 x}{e^3 x-x^2} \, dx\)
  3.37.60 \(\int \frac {x+e^{2 x} x+e^{-8 \log ^2(x)} x+x^3+e^x (-x-2 x^2)+e^{-4 \log ^2(x)} (-2 e^x x+2 x^2-8 \log (x))}{e^{2 x} x+e^{-8 \log ^2(x)} x-2 e^x x^2+x^3+e^{-4 \log ^2(x)} (-2 e^x x+2 x^2)} \, dx\)
  3.37.61 \(\int \frac {-4+160 x-416 x^2-96 x^3}{x \log ^2(e^{-80 x+104 x^2+16 x^3} x^2)} \, dx\)
  3.37.62 \(\int \frac {-30+e^x (-200 x-200 x^2)+e^x (-80 x-80 x^2) \log (x)+e^x (-8 x-8 x^2) \log ^2(x)}{225 x-600 e^x x^2+400 e^{2 x} x^3+(-120 e^x x^2+160 e^{2 x} x^3) \log (x)+16 e^{2 x} x^3 \log ^2(x)} \, dx\)
  3.37.63 \(\int \frac {e^{-x} (-2+3 x-4 x^2+x^3+\frac {5}{2} e^2 (1-x+x^2)+(3 x-\frac {5 e^2 x}{2}-x^2) \log (x))}{x} \, dx\)
  3.37.64 \(\int \frac {-4398046511104 e^{-20460-20 x}-17179869184 e^{-15345-15 x} x-25165824 e^{-10230-10 x} x^2-16384 e^{-5115-5 x} x^3-4 x^4+(-21990232555520 e^{-20460-20 x} x+4 x^4+1073741824 e^{-15345-15 x} (4 x-60 x^2)+1048576 e^{-10230-10 x} (12 x^2-60 x^3)+1024 e^{-5115-5 x} (12 x^3-20 x^4)) \log (x)}{x \log ^5(x)} \, dx\)
  3.37.65 \(\int (25-25 e^x+e^{x+e^x x} (1+x)) \, dx\)
  3.37.66 \(\int -\frac {20 e^{5 x}}{3-10 e^{5 x}+7 e^{10 x}} \, dx\)
  3.37.67 \(\int \frac {-48+48 x-12 x^2+e^{\frac {-12+4 x+2 \log (x)}{-4+2 x+\log (x)}} (4 x+8 x^2)+(24-12 x) \log (x)-3 \log ^2(x)}{48 x-48 x^2+12 x^3+(-24 x+12 x^2) \log (x)+3 x \log ^2(x)+e^{\frac {-12+4 x+2 \log (x)}{-4+2 x+\log (x)}} (16 x^2-16 x^3+4 x^4+(-8 x^2+4 x^3) \log (x)+x^2 \log ^2(x))} \, dx\)
  3.37.68 \(\int \frac {8-8 x}{(-2 x+x^2) \log (-4 x+2 x^2)} \, dx\)
  3.37.69 \(\int (240 x^4+48 x^5-64 x^7+e^{e^x} (-64 x^3-16 e^x x^4)) \, dx\)
  3.37.70 \(\int \frac {3^{2/x} (x^4)^{-2/x} (-2 x^2+(-8 x+2 x^2) \log (x)+2 x \log (x) \log (\frac {x^4}{3})+3^{-1/x} (x^4)^{\frac {1}{x}} (40 x \log (x)+(160-40 x) \log ^2(x)-40 \log ^2(x) \log (\frac {x^4}{3})))}{x \log ^3(x)} \, dx\)
  3.37.71 \(\int \frac {-36+12 x+(-8+12 x-4 x^2) \log (4)+e^{2 x} (3+6 x-2 x^2 \log (4))+e^x (3-3 x+3 x^2+(-4 x+2 x^2-x^3) \log (4))+(-36+24 x-4 x^2 \log (4)+e^x (12+12 x-4 x^2 \log (4))) \log (x)}{18-12 x \log (4)+2 x^2 \log ^2(4)} \, dx\)
  3.37.72 \(\int \frac {(-32+366 x-90 x^2+(-16+4 x) \log (-4+x)) \log (-\frac {9 x^2}{2-45 x+\log (-4+x)})}{-8 x+182 x^2-45 x^3+(-4 x+x^2) \log (-4+x)} \, dx\)
  3.37.73 \(\int \frac {-1+\log (x)}{\log ^2(x)} \, dx\)
  3.37.74 \(\int \frac {e^{144 x^2-72 x^3+9 x^4} (-1-1152 x+1152 x^2-360 x^3+36 x^4)}{32-16 x+2 x^2+(16-8 x+x^2) \log (\log (4))} \, dx\)
  3.37.75 \(\int \frac {15 x+18 x^2+105 x^3+120 x^4+36 x^5+(-30-27 x+3 x^3) \log (4)}{50 x^3+60 x^4+18 x^5} \, dx\)
  3.37.76 \(\int \frac {150-150 x+(-100+100 x) \log (x)+450 x \log ^2(x)+(-50+50 x-300 x \log ^2(x)) \log (x^2)+50 x \log ^2(x) \log ^2(x^2)}{(-9 x+9 x^2) \log ^2(x)+(6 x-6 x^2) \log ^2(x) \log (x^2)+(-x+x^2) \log ^2(x) \log ^2(x^2)} \, dx\)
  3.37.77 \(\int \frac {1}{3} e^{2 x+e x} (-10-20 x-10 e x+e^{76 x^2} (30+15 e+2280 x)) \, dx\)
  3.37.78 \(\int \frac {e^{20-4 e^x} (-144 x^2-576 x^3-864 x^4-576 x^5-144 x^6)+e^{10-2 e^x} (12 x+36 x^2+24 x^3+e^x (-12 x^2-24 x^3-12 x^4))}{1+e^{10-2 e^x} (-48 x-96 x^2-48 x^3)+e^{20-4 e^x} (576 x^2+2304 x^3+3456 x^4+2304 x^5+576 x^6)} \, dx\)
  3.37.79 \(\int \frac {e^{-e^x} (18 x-6 x^2+e^x (-18 x^2+3 x^3)+e^{e^x} (-6+x+e^4 (18 x-6 x^2)+x \log (x)))}{3 x} \, dx\)
  3.37.80 \(\int \frac {\sqrt {2} (1-e^{2 x}-2 x) (\frac {1}{\log (e^{-2 x} (2 x-2 e^{2 x} x))})^{5/4}}{-4 x+4 e^{2 x} x} \, dx\)
  3.37.81 \(\int \frac {2+e^{1+e^{e^3} (-1+6 e^x-9 e^{2 x})+x-6 e^x x+9 e^{2 x} x} (3 x^2+e^{e^3} (18 e^x x^2-54 e^{2 x} x^2)+e^x (-18 x^2-18 x^3)+e^{2 x} (27 x^2+54 x^3))}{3 x^2} \, dx\)
  3.37.82 \(\int \frac {1}{x} \, dx\)
  3.37.83 \(\int \frac {-4 x-4 e^x x^2-8 x^3+(4+4 e^x x+8 x^2) \log (x)+(e^x (2-2 x)+2 x^2-2 x^3+(2-2 x) \log (x)) \log (e^x+x^2+\log (x)) \log (\log (e^x+x^2+\log (x)))}{(-e^x x^2-x^4+(e^x x-x^2+x^3) \log (x)+x \log ^2(x)) \log (e^x+x^2+\log (x)) \log (\log (e^x+x^2+\log (x)))} \, dx\)
  3.37.84 \(\int \frac {e^x (10+e+2 x)+(40+5 e+e^x (-8-e-2 x)+10 x) \log (5-e^x) \log (\log (5-e^x))}{(-10 e^x+2 e^{2 x}) \log (5-e^x)} \, dx\)
  3.37.85 \(\int \frac {e^{-x} (2 x-6 x^2+5 x^3+e^x (1-11 x+20 x^2+25 x^3))}{1-10 x+25 x^2} \, dx\)
  3.37.86 \(\int \frac {-6 x^4-2 e^{10} x^4+e^{12+4 x} (-4+4 x)+e^{6+2 x} (-14 x^2+12 x^3+e^{10} (-4 x^2+4 x^3))+(2 x^4+e^{6+2 x} (4 x^2-4 x^3)) \log (x)}{e^8 x^5} \, dx\)
  3.37.87 \(\int \frac {-2 x^2-e^x x^2+e^{\frac {-3-2 x+3 e^4 x+e^x x^2}{x}} (-3+e^x (-x^2-x^3))}{x^2} \, dx\)
  3.37.88 \(\int \frac {(16-x)^{\frac {1}{2-4 x-8 x^2+2 \log (5)}} (1-2 x-4 x^2+\log (5)+(-32-126 x+8 x^2) \log (16-x))}{-32+130 x+120 x^2-520 x^3-480 x^4+32 x^5+(-64+132 x+248 x^2-16 x^3) \log (5)+(-32+2 x) \log ^2(5)} \, dx\)
  3.37.89 \(\int \frac {e^{3+\log ^2(x)} (-2 \log (5)+2 \log (5) \log (-\frac {5}{2 x^2}) \log (x))}{x} \, dx\)
  3.37.90 \(\int \frac {e^{\frac {1-2 x^3+2 x^3 \log (16)}{-2 x^2+2 x^2 \log (16)}} (-1-x^2-x^3+(x^2+x^3) \log (16))}{-x^2+x^2 \log (16)} \, dx\)
  3.37.91 \(\int \frac {e^{\frac {x}{\log (-e^2+e^{\frac {7}{(5+x) \log (x)}}-x)}} ((25 x^2+10 x^3+x^4) \log ^2(x)+e^{\frac {7}{(5+x) \log (x)}} (35 x+7 x^2+7 x^2 \log (x))+\log ^2(-e^2+e^{\frac {7}{(5+x) \log (x)}}-x) (e^{\frac {7}{(5+x) \log (x)}} (-25-10 x-x^2) \log ^2(x)+(25 x+10 x^2+x^3+e^2 (25+10 x+x^2)) \log ^2(x))+\log (-e^2+e^{\frac {7}{(5+x) \log (x)}}-x) (e^{\frac {7}{(5+x) \log (x)}} (25 x+10 x^2+x^3) \log ^2(x)+(-25 x^2-10 x^3-x^4+e^2 (-25 x-10 x^2-x^3)) \log ^2(x)))}{\log ^2(-e^2+e^{\frac {7}{(5+x) \log (x)}}-x) (e^{\frac {7}{(5+x) \log (x)}} (25 x^2+10 x^3+x^4) \log ^2(x)+(-25 x^3-10 x^4-x^5+e^2 (-25 x^2-10 x^3-x^4)) \log ^2(x))} \, dx\)
  3.37.92 \(\int \frac {32-48 x-8 x^2+e^5 (8-12 x-2 x^2)+(16+e^5 (4-x)-4 x) \log (x)+(-8 x^2-2 e^5 x^2) \log (x^2)}{576+432 x+108 x^2+9 x^3+(384+288 x+72 x^2+6 x^3) \log (x)+(64+48 x+12 x^2+x^3) \log ^2(x)+(384 x+288 x^2+72 x^3+6 x^4+(128 x+96 x^2+24 x^3+2 x^4) \log (x)) \log (x^2)+(64 x^2+48 x^3+12 x^4+x^5) \log ^2(x^2)} \, dx\)
  3.37.93 \(\int \frac {2 x^3+e^x (-36+15 x-x^2+e x^2)+e^x (36-36 x+14 x^2-x^3) \log (x)}{x^2} \, dx\)
  3.37.94 \(\int \frac {3 x+\log (2)+(-x-\log (2)) \log (x^3+2 x^2 \log (2)+x \log ^2(2))}{(x^2+x \log (2)) \log (x^3+2 x^2 \log (2)+x \log ^2(2))} \, dx\)
  3.37.95 \(\int \frac {-x^5-3 x^6+e^x (-5 x^4+4 x^5)-8 x^4 \log (x)+5 x^4 \log ^2(x)}{-e^{5 x}-x^5+5 x^6-10 x^7+10 x^8-5 x^9+x^{10}+e^{4 x} (-5 x+5 x^2)+e^{3 x} (-10 x^2+20 x^3-10 x^4)+e^{2 x} (-10 x^3+30 x^4-30 x^5+10 x^6)+e^x (-5 x^4+20 x^5-30 x^6+20 x^7-5 x^8)+(5 e^{4 x}+5 x^4-20 x^5+30 x^6-20 x^7+5 x^8+e^{3 x} (20 x-20 x^2)+e^{2 x} (30 x^2-60 x^3+30 x^4)+e^x (20 x^3-60 x^4+60 x^5-20 x^6)) \log ^2(x)+(-10 e^{3 x}-10 x^3+30 x^4-30 x^5+10 x^6+e^{2 x} (-30 x+30 x^2)+e^x (-30 x^2+60 x^3-30 x^4)) \log ^4(x)+(10 e^{2 x}+10 x^2-20 x^3+10 x^4+e^x (20 x-20 x^2)) \log ^6(x)+(-5 e^x-5 x+5 x^2) \log ^8(x)+\log ^{10}(x)} \, dx\)
  3.37.96 \(\int x^{-1+e^x} (8 x+8 x^2+e^x (4+8 x+4 x^2)+e^x (4 x+8 x^2+4 x^3) \log (x)) \, dx\)
  3.37.97 \(\int \frac {(-32 x^2+16 x^3+e^2 (8 x-6 x^2)+(-16 x^2+4 x^3+e^2 (8 x-2 x^2)) \log (32 x^2-16 x^3+2 x^4+e^2 (-16 x+8 x^2-x^3))) \log (\frac {5}{x \log (32 x^2-16 x^3+2 x^4+e^2 (-16 x+8 x^2-x^3))})+(16 x^2-4 x^3+e^2 (-8 x+2 x^2)) \log (32 x^2-16 x^3+2 x^4+e^2 (-16 x+8 x^2-x^3)) \log ^2(\frac {5}{x \log (32 x^2-16 x^3+2 x^4+e^2 (-16 x+8 x^2-x^3))})}{(e^2 (-4+x)+8 x-2 x^2) \log (32 x^2-16 x^3+2 x^4+e^2 (-16 x+8 x^2-x^3))} \, dx\)
  3.37.98 \(\int \frac {-1+(-1-x+e^{2 x} (-5 x-10 x^2)) \log (x) \log (\log (x))}{x \log (x) \log (\log (x))} \, dx\)
  3.37.99 \(\int \frac {-1+25 x^2+6 x^3+16 x^2 \log (x)}{3 x^2} \, dx\)
  3.37.100 \(\int \frac {2-8 e^4 x+2 e^9 x+e^{4+x} (-6 x+6 x^2+2 x^3)-4 \log (x)}{e^4 x^3} \, dx\)