3.24 Integrals 2301 to 2400

  3.24.1 \(\int \frac {1}{25} e^{\frac {1}{25} (-150+125 x+64 x^2)} (125+575 x+515 x^2-128 x^3) \, dx\)
  3.24.2 \(\int \frac {e^4 (2 x+3 x^2)}{1+6 x+9 x^2} \, dx\)
  3.24.3 \(\int \frac {-960 x+1152 x \log (150 x \log (5))+(592 x-960 x \log (150 x \log (5))) \log (\log ^2(150 x \log (5)))+(-120 x+296 x \log (150 x \log (5))) \log ^2(\log ^2(150 x \log (5)))+(8 x-40 x \log (150 x \log (5))) \log ^3(\log ^2(150 x \log (5)))+2 x \log (150 x \log (5)) \log ^4(\log ^2(150 x \log (5)))}{\log (150 x \log (5))} \, dx\)
  3.24.4 \(\int \frac {e^x (1-x)+(-e^{-1+2 x} x+e^{-1+x} x^2) \log (\frac {x}{e^x-x})}{(e^x x-x^2) \log (\frac {x}{e^x-x})} \, dx\)
  3.24.5 \(\int \frac {e^{\frac {2 (1-3 e^{-4+e^5-x}-3 x)}{e^{-4+e^5-x}+x}} (e^{-8+2 e^5-2 x} (-20-8 x)-40 x-28 x^2-8 e^{-4+e^5-x} x^2-8 x^3)}{25 x^4+10 x^5+x^6+e^{-8+2 e^5-2 x} (25 x^2+10 x^3+x^4)+e^{-4+e^5-x} (50 x^3+20 x^4+2 x^5)} \, dx\)
  3.24.6 \(\int \frac {e^{16 x^8} (-839808-209952 x)+e^{16 x^8} (10917504 x^7+6718464 x^8+839808 x^9) \log (13+8 x+x^2)+e^{12 x^8} (279936+69984 x) \log ^4(13+8 x+x^2)+e^{12 x^8} (-3639168 x^7-2239488 x^8-279936 x^9) \log ^5(13+8 x+x^2)+e^{8 x^8} (-31104-7776 x) \log ^8(13+8 x+x^2)+e^{8 x^8} (404352 x^7+248832 x^8+31104 x^9) \log ^9(13+8 x+x^2)+e^{4 x^8} (1152+288 x) \log ^{12}(13+8 x+x^2)+e^{4 x^8} (-14976 x^7-9216 x^8-1152 x^9) \log ^{13}(13+8 x+x^2)}{(13+8 x+x^2) \log ^{17}(13+8 x+x^2)} \, dx\)
  3.24.7 \(\int \frac {-2 e^x \log (-x) \log (x)+2 \log (-x) \log (x) \log (\log (x))+(-4 \log (-x)+4 e^x x \log (-x) \log (x)) \log (-e^x+\log (\log (x)))+(2 e^x \log (x)-2 \log (x) \log (\log (x))) \log ^2(-e^x+\log (\log (x)))+(4-4 e^x x \log (x)) \log ^3(-e^x+\log (\log (x)))}{-e^x x \log (x)+x \log (x) \log (\log (x))} \, dx\)
  3.24.8 \(\int \frac {1-7 x+2 x^2}{(16 x-7 x^2+x^3+x \log (8 x)) \log (16-7 x+x^2+\log (8 x))} \, dx\)
  3.24.9 \(\int \frac {x+e^x (1-55 x-73 x^2-36 x^3-24 x^4-6 x^5+e^2 (4 x^2+2 x^3))+e^x x \log (x)}{x} \, dx\)
  3.24.10 \(\int \frac {40 x+4 x^3-32 e^{12+x^2} x^5-16 e^{24+2 x^2} x^5}{25+90 x^2+81 x^4+8 e^{36+3 x^2} x^4+e^{48+4 x^2} x^4+e^{24+2 x^2} (10 x^2+34 x^4)+e^{12+x^2} (40 x^2+72 x^4)+(-10 x^2-18 x^4-8 e^{12+x^2} x^4-2 e^{24+2 x^2} x^4) \log (x)+x^4 \log ^2(x)} \, dx\)
  3.24.11 \(\int \frac {1}{4} e^{\frac {1}{4} (20 x^2+4 x^3+16 x^4-16 x^3 \log ^2(3)+4 x^2 \log ^4(3)+(-5 x-x^2-4 x^3+4 x^2 \log ^2(3)-x \log ^4(3)) \log (x))} (-5+39 x+8 x^2+64 x^3+(4 x-48 x^2) \log ^2(3)+(-1+8 x) \log ^4(3)+(-5-2 x-12 x^2+8 x \log ^2(3)-\log ^4(3)) \log (x)) \, dx\)
  3.24.12 \(\int \frac {e^x (2-x)+x}{(e^x x+x^2) \log (\frac {20 e^x+20 x}{x^2})} \, dx\)
  3.24.13 \(\int \frac {e^{(x-\log (x))^{\frac {1}{2+3 e^{x^2} x}}} (x-\log (x))^{\frac {1}{2+3 e^{x^2} x}} (2-2 x+e^{x^2} (3 x-3 x^2)+(e^{x^2} (3 x^2+6 x^4)+e^{x^2} (-3 x-6 x^3) \log (x)) \log (x-\log (x)))}{-4 x^2-12 e^{x^2} x^3-9 e^{2 x^2} x^4+(4 x+12 e^{x^2} x^2+9 e^{2 x^2} x^3) \log (x)} \, dx\)
  3.24.14 \(\int \frac {1}{4} (1+e^{-1+x} (1-9 x-2 x^2+x^3+(-5-3 x+x^2) \log (2))) \, dx\)
  3.24.15 \(\int \frac {1-e^x x+e^{-4+e^{2 x}} (e^x x-x \log (x)+(e^x x+2 e^{3 x} x^2+(-x-2 e^{2 x} x^2) \log (x)) \log (x \log (5)))}{-e^x x+x \log (x)} \, dx\)
  3.24.16 \(\int \frac {52+20 x+2 x^2+(-4-x) \log (4+x)}{4+x} \, dx\)
  3.24.17 \(\int \frac {x+\frac {1}{5} e^{-3-x+\log ^2(x)} (-x+2 \log (x))}{x} \, dx\)
  3.24.18 \(\int \frac {e^{e^{-\frac {2 e^{-x}}{\log (x)}}-x-\frac {2 e^{-x}}{\log (x)}} (10-2 e^x+2 x+(10 x-2 e^x x+2 x^2) \log (x)+e^{\frac {2 e^{-x}}{\log (x)}} (e^x x-e^{2 x} x) \log ^2(x))}{x \log ^2(x)} \, dx\)
  3.24.19 \(\int \frac {e^{-\frac {1}{4} e^x (16-8 x+x^2)} (128-192 x-160 x^3-200 x^4+100 x^5+e^{3 x} (200 x^3-350 x^4+175 x^5-25 x^6)+e^{2 x} (-320 x^2+260 x^3-480 x^4+740 x^5-350 x^6+50 x^7)+e^x (-32 x+256 x^2+472 x^3-376 x^4+280 x^5-390 x^6+175 x^7-25 x^8))}{100 x^3-200 x^4+100 x^5} \, dx\)
  3.24.20 \(\int \frac {240 x+2 x^3-x^4+4 x^6+(-240 x-120 x^2+1440 x^4) \log (x)+172800 x^2 \log ^2(x)+6912000 \log ^3(x)}{-x^4+4 x^6+(-120 x^2+1440 x^4) \log (x)+172800 x^2 \log ^2(x)+6912000 \log ^3(x)} \, dx\)
  3.24.21 \(\int \frac {1-x^2-\log (x)}{e x^2 \log ^2(e^{-x} x^{\frac {1}{x}})} \, dx\)
  3.24.22 \(\int (-3 e^2 x^2-3 e^{10} x^2) \, dx\)
  3.24.23 \(\int \frac {25-46 x+6 x^2+(4-7 x-x^2) \log (\frac {-x+2 x \log (5)}{2 \log (5)})+\log (x) (21-x-5 x^2+4 \log (\frac {-x+2 x \log (5)}{2 \log (5)}))}{5 x^4-10 x^3 \log (x)+5 x^2 \log ^2(x)} \, dx\)
  3.24.24 \(\int \frac {16 e^{2+4 x+4 x^2} (-8+(1+4 x+8 x^2) \log (x))}{\log ^9(x)} \, dx\)
  3.24.25 \(\int (-4+e^{2 x} (-25-50 x)-4 x-5 \log (5 x)) \, dx\)
  3.24.26 \(\int \frac {\frac {e^x (1-x)}{x}-x \log (\log (4))}{x} \, dx\)
  3.24.27 \(\int e^{-x} (-4+e^x (1+2 x)) \, dx\)
  3.24.28 \(\int \frac {-4 e^{22}+x^2}{2 e^{22} x^2} \, dx\)
  3.24.29 \(\int \frac {e^{\frac {3}{\log (1+\log (3 x))}} (12+3 x)+(x+12 x^3+3 x^4+(x+12 x^3+3 x^4) \log (3 x)) \log ^2(1+\log (3 x))}{(4 x+x^2+(4 x+x^2) \log (3 x)) \log ^2(1+\log (3 x))} \, dx\)
  3.24.30 \(\int e^{-3-e^5-6 x+2 x^2} (-6+4 x) \, dx\)
  3.24.31 \(\int \frac {32 x^4-16 x^5+2 x^6+(240 x^2-120 x^3-x^4+8 x^5-x^6) \log (\frac {1}{5} (-15+x^2))+(-15 x^2+x^4+(-240+120 x+x^2-8 x^3+x^4) \log (3)) \log ^2(\frac {1}{5} (-15+x^2))}{-960 x^4+480 x^5+4 x^6-32 x^7+4 x^8+(2400 x^3-1080 x^4-40 x^5+72 x^6-8 x^7+(-1920 x^2+960 x^3+8 x^4-64 x^5+8 x^6) \log (3)) \log (\frac {1}{5} (-15+x^2))+(-1500 x^2+600 x^3+40 x^4-40 x^5+4 x^6+(2400 x-1080 x^2-40 x^3+72 x^4-8 x^5) \log (3)+(-960+480 x+4 x^2-32 x^3+4 x^4) \log ^2(3)) \log ^2(\frac {1}{5} (-15+x^2))} \, dx\)
  3.24.32 \(\int \frac {400-160 x-72 x^3+16 x^4+24 x^5-8 x^6}{-100 x+80 x^2+24 x^3-36 x^4+4 x^5+4 x^6-x^7+x^3 \log ^2(4)} \, dx\)
  3.24.33 \(\int \frac {-16 e x+24 x^2+(-4 e+8 x) \log (\log (2))}{3 \log (\log (2))} \, dx\)
  3.24.34 \(\int \frac {1}{3} (-5+6 x) \, dx\)
  3.24.35 \(\int \frac {-x+(10+x) \log (10+x)+(20 x+2 x^2+100 x^4+10 x^5+80 x^7+8 x^8) \log ^2(10+x)}{(10+x) \log ^2(10+x)} \, dx\)
  3.24.36 \(\int \frac {-36 x+24 e^{3 e^x} x-4 e^{6 e^x} x+e^{-\frac {x^2}{-6+2 e^{3 e^x}}} (6 x+e^{3 e^x} (-2 x+3 e^x x^2))}{18-12 e^{3 e^x}+2 e^{6 e^x}} \, dx\)
  3.24.37 \(\int \frac {4+4 x-8 x^2-8 x^2 \log (x+x^2)}{15 x} \, dx\)
  3.24.38 \(\int \frac {-3+e^x (3 x+6 x^2+3 x^3)}{(2 e^{e^x (1+x^2)}-x) \log (e^{-e^x (1+x^2)} (-12 e^{e^x (1+x^2)}+6 x))} \, dx\)
  3.24.39 \(\int \frac {4-10 x+(5600-12400 x+7150 x^2-1600 x^3+125 x^4) \log (3)+(-750+800 x-150 x^2) \log (3) \log (4 x)+25 \log (3) \log ^2(4 x)}{4 x-5 x^2+(6400 x-6400 x^2+2400 x^3-400 x^4+25 x^5) \log (3)+(-800 x+400 x^2-50 x^3) \log (3) \log (4 x)+25 x \log (3) \log ^2(4 x)} \, dx\)
  3.24.40 \(\int \frac {x^3+e^{e^x} (-2+e^x x)}{e^{e^x} x-5 x^3+x^4} \, dx\)
  3.24.41 \(\int \frac {1+2 x^2}{x} \, dx\)
  3.24.42 \(\int \frac {e^{-x} (8 e^{x+4 x^2} x^3+e^{x^2} (-5-5 x+10 x^2+e^x (1-2 x^2)+e^{2 x} (1-x-2 x^2)))}{x^2} \, dx\)
  3.24.43 \(\int \frac {1}{2} e^{-23-10 e^3-e^6} (1+e^{23+10 e^3+e^6} (-5+x)) \, dx\)
  3.24.44 \(\int \frac {x^2+2 x \log (x)+\log ^2(x)+e^{\frac {2 (25+e x^2+e x \log (x))}{x^2+x \log (x)}} (-25-50 x+x^3+(-25+2 x^2) \log (x)+x \log ^2(x))}{x^2+2 x \log (x)+\log ^2(x)} \, dx\)
  3.24.45 \(\int \frac {1200+360 x-1500 x^4+3000 x^5-1500 x^6+(360 x-6000 x^4+15000 x^5-9000 x^6) \log (x)}{(400 x+240 x^2+36 x^3-1000 x^5+1700 x^6-400 x^7-300 x^8+625 x^9-2500 x^{10}+3750 x^{11}-2500 x^{12}+625 x^{13}) \log ^2(x)} \, dx\)
  3.24.46 \(\int \frac {1}{25} (-9-12 x-3 x^2) \, dx\)
  3.24.47 \(\int \frac {-50 x+e^{e^x} (10 x+e^x (-2 x+5 x^2))+(-10+e^{e^x} (2-5 x)+25 x) \log (20-100 x+125 x^2+e^{e^x} (-4+20 x-25 x^2))}{10 x^2-25 x^3+e^{e^x} (-2 x^2+5 x^3)} \, dx\)
  3.24.48 \(\int \frac {-8-18 x+40 x^2-8 x^4+(50+18 x-20 x^2+2 x^4+8 \log (4 x)) \log (25+9 x-10 x^2+x^4+4 \log (4 x)) \log (\log (25+9 x-10 x^2+x^4+4 \log (4 x)))}{(25+9 x-10 x^2+x^4+4 \log (4 x)) \log (25+9 x-10 x^2+x^4+4 \log (4 x)) \log ^2(\log (25+9 x-10 x^2+x^4+4 \log (4 x)))} \, dx\)
  3.24.49 \(\int \frac {-x^2+2 x^3+e^{-x+2 e^{\frac {1}{2} (6+8 x+5 \log (x))} x+x^2+e^{6+8 x} x^5} (-1-x+2 x^2+e^{6+8 x} x^5 (5+8 x)+e^{\frac {1}{2} (6+8 x+5 \log (x))} (7 x+8 x^2))}{x^2} \, dx\)
  3.24.50 \(\int \frac {-8-36 x+8 x \log (\log (2))}{80 x^2+360 x^3+405 x^4+(-80 x^3-180 x^4) \log (\log (2))+20 x^4 \log ^2(\log (2))} \, dx\)
  3.24.51 \(\int -\frac {16 e^{\frac {16-20 x}{x}}}{x^2} \, dx\)
  3.24.52 \(\int \frac {-64 x^8+(384 x^6+144 x^8) \log (x)+(-768 x^4-16 e^x x^4-896 x^6) \log ^2(x)+(512 x^2+1920 x^4+e^x (32 x^2+40 x^4+8 x^5)) \log ^3(x)+(-1536 x^2+e^x (-96 x^2-32 x^3)) \log ^4(x)+(256+2 x+e^{2 x} (1+2 x)+e^x (32+32 x)) \log ^5(x)}{\log ^5(x)} \, dx\)
  3.24.53 \(\int \frac {-5+9 x-8 x^2+(5 x-4 x^2) \log (\frac {1}{4} (5 x-4 x^2))}{(-5 x+4 x^2) \log (x)+(5 x^2-4 x^3) \log (\frac {1}{4} (5 x-4 x^2))} \, dx\)
  3.24.54 \(\int \frac {1}{2} (-5+3 e^{-3 x/2}+4 x) \, dx\)
  3.24.55 \(\int \frac {-2 x-\log (\frac {e^x}{6})}{x^2 \log ^3(\frac {e^x}{6})} \, dx\)
  3.24.56 \(\int \frac {3 x+8 \log (x^2)}{2 x} \, dx\)
  3.24.57 \(\int \frac {e^{-5-e^{2 x}-e^{2 x^2}-2 e^{x+x^2}-x} (10+4 x-x^2+e^{2 x} (10 x-2 x^2)+e^{x+x^2} (10 x+18 x^2-4 x^3)+e^{2 x^2} (20 x^2-4 x^3))}{3 x^3} \, dx\)
  3.24.58 \(\int \frac {e^{4 e^x+2 x^2} (6 x-24 e^x x^2+12 x^3)+e^{2 x^2} (6 x^3-12 x^5)-12 e^{2 x^2} x \log (x)+e^{2 x^2} (6 x+12 x^3) \log ^2(x)+e^{2 e^x} (12 e^{2 x^2} x+e^{2 x^2} (-12 x+24 e^x x^2-24 x^3) \log (x))}{e^{12 e^x}-x^6-6 e^{10 e^x} \log (x)+3 x^4 \log ^2(x)-3 x^2 \log ^4(x)+\log ^6(x)+e^{8 e^x} (-3 x^2+15 \log ^2(x))+e^{6 e^x} (12 x^2 \log (x)-20 \log ^3(x))+e^{4 e^x} (3 x^4-18 x^2 \log ^2(x)+15 \log ^4(x))+e^{2 e^x} (-6 x^4 \log (x)+12 x^2 \log ^3(x)-6 \log ^5(x))} \, dx\)
  3.24.59 \(\int \frac {-2 e^{4+2 x}-4 x^2+e^{2+x} (8 x-2 x^2)}{16 x^2+16 x^3+4 x^4+e^{4+2 x} (16+8 x+x^2)+e^{2+x} (-32 x-24 x^2-4 x^3)} \, dx\)
  3.24.60 \(\int \frac {e^{e^x} (e^x (8+2 e^{x-x^2})+e^{x-x^2} (-1+2 x))+e^{e^x+x} (-4-e^{x-x^2}) \log (4+e^{x-x^2})}{4+e^{x-x^2}} \, dx\)
  3.24.61 \(\int \frac {-1+\log (x)}{(60-15 e^5+3 \log (5)) \log ^2(x)} \, dx\)
  3.24.62 \(\int \frac {-10 x-44 x^2-55 x^3-31 x^4-13 x^5-5 x^6+e^{2 x} (-192 x-320 x^2-176 x^3-80 x^4-32 x^5)+e^x (96 x+256 x^2+216 x^3+96 x^4+48 x^5+8 x^6)+(-8 x-24 x^2-18 x^3-6 x^4-4 x^5+e^{2 x} (-128 x-128 x^2-32 x^3-32 x^4)+e^x (64 x+128 x^2+48 x^3+32 x^4+8 x^5)) \log (x)}{4+x^2} \, dx\)
  3.24.63 \(\int \frac {-8+4 x-x^2+4 \log (x)}{4 x^2} \, dx\)
  3.24.64 \(\int \frac {-2 x^2+e^{2 x \log ^2(2)+2 (-5-x) \log ^2(2) \log (x)} (-10 e^2 \log ^2(2)-2 e^2 x \log ^2(2) \log (x))}{x} \, dx\)
  3.24.65 \(\int \frac {(-4+26 x-30 x^2) \log (2 x^2-2 x^3)+(-1+11 x-10 x^2) \log ^2(2 x^2-2 x^3)}{-1+x} \, dx\)
  3.24.66 \(\int \frac {2+9 x}{9 x^2} \, dx\)
  3.24.67 \(\int \frac {-80 x^2-40 x^4-5 x^6+e^{\frac {6 x^2}{4+x^2}} (-80-40 x^2-5 x^4)+e^{\frac {3 x^2}{4+x^2}} (64-160 x-64 x^2-80 x^3+4 x^4-10 x^5+(-16+16 x^2-x^4) \log (4))}{80 x^2+40 x^4+5 x^6+e^{\frac {6 x^2}{4+x^2}} (80+40 x^2+5 x^4)+e^{\frac {3 x^2}{4+x^2}} (160 x+80 x^3+10 x^5)} \, dx\)
  3.24.68 \(\int \frac {-4 x^2+2 x^5-4 x^3 \log (2)+2 x \log ^2(2)+(-4 x^2-4 x^5+(4+8 x^3) \log (2)-4 x \log ^2(2)) \log (\frac {-1-x^3+x \log (2)}{-x^2+\log (2)}) \log (\log (\frac {-1-x^3+x \log (2)}{-x^2+\log (2)}))}{(x^3+x^6+(-x-2 x^4) \log (2)+x^2 \log ^2(2)) \log (\frac {-1-x^3+x \log (2)}{-x^2+\log (2)}) \log (\log (\frac {-1-x^3+x \log (2)}{-x^2+\log (2)}))} \, dx\)
  3.24.69 \(\int -\frac {2 \log (\log (4))}{x \log ^3(-x)} \, dx\)
  3.24.70 \(\int \frac {\frac {1}{27} e^{3 x} x^2+\frac {1}{3} e^{2 x} x^3+e^x x^4+x^5+e^{x+\frac {100}{\frac {e^{2 x}}{9}+\frac {2 e^x x}{3}+x^2}} (\frac {1}{27} e^{3 x} (1-x)+200 x+x^3-x^4+\frac {1}{9} e^{2 x} (3 x-3 x^2)+\frac {1}{3} e^x (200 x+3 x^2-3 x^3))}{\frac {1}{27} e^{3 x} x^2+\frac {1}{3} e^{2 x} x^3+e^x x^4+x^5} \, dx\)
  3.24.71 \(\int \frac {e^{-4-\frac {3-72 x+414 x^2+204 x^3+171 x^4+36 x^5+12 x^6}{e^4 (1-4 x+4 x^2)}} (-60 x+684 x^2+612 x^3+276 x^4-504 x^5-144 x^6-96 x^7+e^4 (1-6 x+12 x^2-8 x^3))}{-x^2+6 x^3-12 x^4+8 x^5} \, dx\)
  3.24.72 \(\int \frac {8-8 e^{12}+e^8 (24-16 x)-16 x+6 x^2+e^4 (-24+32 x-6 x^2)+e^{-15+3 x^2} (8+e^{2 x} (2+4 x)+e^x (8+8 x))+e^{2 x} (2+e^4 (-6-12 x)+e^{12} (-2-4 x)+4 x+e^8 (6+12 x))+e^x (8+e^{12} (-8-8 x)-4 x^2+e^8 (24+16 x-4 x^2)+e^4 (-24-8 x+8 x^2))+e^{-10+2 x^2} (24-24 e^4-16 x+16 x^3+e^{2 x} (6+e^4 (-6-12 x)+12 x)+e^x (24+e^4 (-24-24 x)+16 x-4 x^2+8 x^3))+e^{-5+x^2} (24+24 e^8-32 x+6 x^2+16 x^3-8 x^4+e^4 (-48+32 x-16 x^3)+e^{2 x} (6+e^4 (-12-24 x)+12 x+e^8 (6+12 x))+e^x (24+8 x-8 x^2+8 x^3+e^8 (24+24 x)+e^4 (-48-32 x+8 x^2-8 x^3)))}{1-3 e^4+3 e^8-e^{12}+e^{-15+3 x^2}+e^{-10+2 x^2} (3-3 e^4)+e^{-5+x^2} (3-6 e^4+3 e^8)} \, dx\)
  3.24.73 \(\int \frac {1}{x} \, dx\)
  3.24.74 \(\int \frac {64+32 x-12 x^2-4 x^3+(-32-16 x) \log (2)}{128+160 x+98 x^2+37 x^3+8 x^4+x^5+(-128-112 x-40 x^2-8 x^3) \log (2)+(32+16 x) \log ^2(2)+(32 x+28 x^2+10 x^3+2 x^4+(-16 x-8 x^2) \log (2)) \log (6+3 x)+(2 x^2+x^3) \log ^2(6+3 x)} \, dx\)
  3.24.75 \(\int \frac {9+6 x+x^2+(6 x+2 x^2) \log (2 x)}{9 x} \, dx\)
  3.24.76 \(\int 2 e^{-2-x} (e^x (-1+\frac {e^{2+x}}{2})-5 x^4+x^5) \, dx\)
  3.24.77 \(\int \frac {337500+722400 x+4804 x^2+8 x^3+e^3 (5400000 x^2+36000 x^3+60 x^4)}{90000+600 x+x^2} \, dx\)
  3.24.78 \(\int \frac {-1+e^x (-5+x)-x^3+(-4 x^3+e^x x^4) \log (x)}{e^{2 x} (-5+x)+e^{2 x} x^4 \log (x)+(e^x (10-2 x)-2 e^x x^4 \log (x)) \log (-5+x+x^4 \log (x))+(-5+x+x^4 \log (x)) \log ^2(-5+x+x^4 \log (x))} \, dx\)
  3.24.79 \(\int \frac {e^{\frac {1-110 x-17 x^2+x^3}{-22+x}} (2419+748 x-83 x^2+2 x^3)}{484-44 x+x^2} \, dx\)
  3.24.80 \(\int \frac {-3 e^4 x^2+2 x^4-x^4 \log (\frac {64}{25 x})}{e^8+9 x^4+6 x^5+x^6+e^4 (-6 x^2-2 x^3)+(2 e^4 x^2-6 x^4-2 x^5) \log (\frac {64}{25 x})+x^4 \log ^2(\frac {64}{25 x})} \, dx\)
  3.24.81 \(\int \frac {9765625 x^{15} (30-35 x+5 x \log (x^2))}{(2 x-3 x^2+x^2 \log (x^2)) (4-12 x+9 x^2+(4 x-6 x^2) \log (x^2)+x^2 \log ^2(x^2))^5} \, dx\)
  3.24.82 \(\int \frac {-4608-768 x+120 x^2+18 x^3+(-1536-320 x) \log (4+x)+(-128-32 x) \log ^2(4+x)}{2304 x+1156 x^2+181 x^3+9 x^4+(768 x+288 x^2+24 x^3) \log (4+x)+(64 x+16 x^2) \log ^2(4+x)} \, dx\)
  3.24.83 \(\int \frac {2 e^{16}+2 e^{2 e^x}+8 e^{12} x+2 x^2+4 x^3+2 x^4+e^{e^x} (-4 e^8-4 x-8 e^4 x-4 x^2)+e^8 (4 x+12 x^2)+e^4 (8 x^2+8 x^3)+(2 e^{2 e^x+x} x \log (16 x^2)+e^{e^x} (-2 x-4 e^4 x-4 x^2+e^x (-2 e^8 x-2 x^2-4 e^4 x^2-2 x^3)) \log (16 x^2)+(4 e^{12} x+2 x^2+6 x^3+4 x^4+e^8 (2 x+12 x^2)+e^4 (8 x^2+12 x^3)) \log (16 x^2)) \log (\frac {1}{4} \log (16 x^2))}{x \log (16 x^2)} \, dx\)
  3.24.84 \(\int \frac {3840-8960 x+2560 x^2+(3840 x-1280 x^2) \log (-3+x)+(-7680 x+1280 x^2+(3840 x-1280 x^2) \log (-3+x)) \log (x)+(-480+640 x-160 x^2+(480 x-160 x^2) \log (x)) \log (\log (3))+(15-5 x) \log ^2(\log (3))}{-768 x+256 x^2} \, dx\)
  3.24.85 \(\int \frac {e^{e^{\frac {2-2 x+2 x^2+(-5+2 e+2 x^2) \log (x)}{2 \log (x)}}+\frac {2-2 x+2 x^2+(-5+2 e+2 x^2) \log (x)}{2 \log (x)}} (-1+x-x^2+(-x+2 x^2) \log (x)+2 x^2 \log ^2(x))}{x \log ^2(x)} \, dx\)
  3.24.86 \(\int \frac {2+(2+4 x) \log (x)}{(81 x-36 x^2+4 x^3+(108 x-24 x^2) \log ^2(4)+(54 x-4 x^2) \log ^4(4)+12 x \log ^6(4)+x \log ^8(4)) \log (x)+(-18 x+4 x^2-12 x \log ^2(4)-2 x \log ^4(4)) \log (x) \log (x \log (x))+x \log (x) \log ^2(x \log (x))} \, dx\)
  3.24.87 \(\int \frac {-4 \log ^2(2 x)+e^{-e^{\frac {6 x^2}{\log (2 x)}}+2 x} ((1+2 x) \log ^2(2 x)+e^{\frac {6 x^2}{\log (2 x)}} (6 x^2-12 x^2 \log (2 x)))}{\log ^2(2 x)} \, dx\)
  3.24.88 \(\int \frac {e^{-4 x/9} (e^{4 x/9} (e^{25} x-5 e^{20} x^2+10 e^{15} x^3-10 e^{10} x^4+5 e^5 x^5-x^6) \log (x)+(324 e^5-324 x) \log ^3(\log (x))+(324 x-36 e^5 x+36 x^2) \log (x) \log ^4(\log (x)))}{(e^{25} x-5 e^{20} x^2+10 e^{15} x^3-10 e^{10} x^4+5 e^5 x^5-x^6) \log (x)} \, dx\)
  3.24.89 \(\int (-240 x+840 x^2-320 x^3+e^{-4+x} (360 x^2-40 x^3-40 x^4)) \, dx\)
  3.24.90 \(\int \log ^{1-x}(2) (-10+66 x-120 x^2+64 x^3+(-1+10 x-33 x^2+40 x^3-16 x^4) \log (\log (2))) \, dx\)
  3.24.91 \(\int \frac {e^x (6+24 x-6 x^2-6 x \log (3))+6 e^x x \log (x)}{-5 x+e^x (10 x-2 x^2-2 x \log (3))+2 e^x x \log (x)} \, dx\)
  3.24.92 \(\int \frac {-1665+570 x-240 x^2+720 x^3-285 x^4+30 x^5+(60-300 x+435 x^2-150 x^3+15 x^4) \log (x)}{4-20 x+29 x^2-10 x^3+x^4} \, dx\)
  3.24.93 \(\int \frac {1}{4} (-267+510 x+e^3 (-4+170 x)) \, dx\)
  3.24.94 \(\int \frac {1953125+4 x-781250 x^2-2 x^3}{390625 x+x^2} \, dx\)
  3.24.95 \(\int \frac {6-20 x-5 x^2+e^{e^x} (-3-e^x x)+(-2+e^{e^x}+5 x+x^2) \log (\frac {5}{-4 x^3+2 e^{e^x} x^3+10 x^4+2 x^5})}{-2+e^{e^x}+5 x+x^2} \, dx\)
  3.24.96 \(\int \frac {-5+e^{2 x}+e^x (5-4 x)-4 x+4 x^2}{1+e^{2 x}+e^x (2-4 x)-4 x+4 x^2} \, dx\)
  3.24.97 \(\int \frac {e^2 (-3 x+x^2)-\frac {e^3 (-9-3 x) x \log (3+x)}{-3+x}+e^2 (-9 x+x^3) \log (3+x)}{(-9 x+x^3) \log (3+x)} \, dx\)
  3.24.98 \(\int \frac {-4 x \log (x)+4 e^{2 x+4 e^{2 x} x^2} x^2 (8+8 x) \log (x)+(2 x+e^{4 e^{2 x} x^2} (-2-2 \log (x))+2 x \log (x)) \log (e^{8 e^{2 x} x^2}-2 e^{4 e^{2 x} x^2} x+x^2)}{e^{4 e^{2 x} x^2} x^2 \log ^2(x)-x^3 \log ^2(x)} \, dx\)
  3.24.99 \(\int \frac {-80000 x+120000 x^2-60000 x^3+10000 x^4+(1024-4096 x+7168 x^2-7168 x^3+4480 x^4-1792 x^5+448 x^6-64 x^7+4 x^8) \log (x)+(1024-4096 x+7168 x^2-7168 x^3+4480 x^4-1792 x^5+448 x^6-64 x^7+4 x^8) \log (2 x)}{641601 x-563904 x^2+546832 x^3-326832 x^4+149270 x^5-54208 x^6+13552 x^7-1936 x^8+121 x^9+(-25632 x+62528 x^2-69424 x^3+49424 x^4-25890 x^5+9856 x^6-2464 x^7+352 x^8-22 x^9) \log (x) \log (2 x)+(256 x-1024 x^2+1792 x^3-1792 x^4+1120 x^5-448 x^6+112 x^7-16 x^8+x^9) \log ^2(x) \log ^2(2 x)} \, dx\)
  3.24.100 \(\int \frac {-8 x^2+(4 x^2-4 x^5) \log (x)+(8 x+(-4 x+4 x^2) \log (x)) \log (\frac {3 \log (5) \log ^2(x)}{x})-4 x \log (x) \log ^2(\frac {3 \log (5) \log ^2(x)}{x})}{(9 x^4+6 x^6+x^8) \log (x)+(12 x^3+4 x^5) \log (x) \log (\frac {3 \log (5) \log ^2(x)}{x})+(-2 x^2-2 x^4) \log (x) \log ^2(\frac {3 \log (5) \log ^2(x)}{x})-4 x \log (x) \log ^3(\frac {3 \log (5) \log ^2(x)}{x})+\log (x) \log ^4(\frac {3 \log (5) \log ^2(x)}{x})} \, dx\)