3.19 Integrals 1801 to 1900

  3.19.1 \(\int \frac {1}{2} (17-3 e+12 x) \, dx\)
  3.19.2 \(\int \frac {-64+32 x+152 x^2+12 x^3+47 x^4-24 x^5+3 x^6}{(-64 x+48 x^3+8 x^4+15 x^5-8 x^6+x^7+(64+16 x^2-8 x^3+x^4) \log (\frac {1}{16} (320+80 x^2-40 x^3+5 x^4))) \log (x-x^3-\log (\frac {1}{16} (320+80 x^2-40 x^3+5 x^4)))} \, dx\)
  3.19.3 \(\int \frac {e^{\frac {-5+16 x^2+16 x^4+e^{\frac {8}{e^3}} (x^2+x^4)+e^{\frac {4}{e^3}} (8 x^2+8 x^4)}{1+x^2}} (-42 x-64 x^3-32 x^5+e^{\frac {4}{e^3}} (-16 x-32 x^3-16 x^5)+e^{\frac {8}{e^3}} (-2 x-4 x^3-2 x^5))}{1+2 x^2+x^4} \, dx\)
  3.19.4 \(\int -\frac {1}{x \log (x)} \, dx\)
  3.19.5 \(\int \frac {e^{\frac {-18 x+3 x^2+3 \log (3)+(-5 x+x^2) \log (e^{e^x x^2}-x)}{-5 x+x^2}} (-25 x^2+7 x^3-x^4+(-15 x+6 x^2) \log (3)+e^{e^x x^2} (3 x^2+e^x (50 x^3+5 x^4-8 x^5+x^6)+(15-6 x) \log (3)))}{-25 x^3+10 x^4-x^5+e^{e^x x^2} (25 x^2-10 x^3+x^4)} \, dx\)
  3.19.6 \(\int \frac {e^{-e-2 x+x^2+2 x \log ^2(\frac {x-\log (x)}{\log (x)})} ((2 x-2 x^2) \log (x)+(-2+2 x) \log ^2(x)+(4 x-4 x \log (x)) \log (\frac {x-\log (x)}{\log (x)})+(-2 x \log (x)+2 \log ^2(x)) \log ^2(\frac {x-\log (x)}{\log (x)}))}{-x \log (x)+\log ^2(x)} \, dx\)
  3.19.7 \(\int \frac {-144-289 x+e (1+2 x)}{-144 x+e x} \, dx\)
  3.19.8 \(\int \frac {e^{4+3 x} (1280000 x-640000 x^2)+e^{4+2 x} (-2560000+5120000 x-4480000 x^2+1280000 x^3)}{e^{2 x}-2 e^x x+x^2} \, dx\)
  3.19.9 \(\int \frac {e^{-e^{-5+e^5-x}} (20 x-4 x^2-x^3) (-20+8 x+3 x^2+e^{-5+e^5-x} (-20 x+4 x^2+x^3))}{-20 x+4 x^2+x^3} \, dx\)
  3.19.10 \(\int \frac {e^{-4 x} (2048-3072 x+1536 x^2-256 x^3+e^{4 x} (-6+12 x-6 x^2+x^3))}{-8+12 x-6 x^2+x^3} \, dx\)
  3.19.11 \(\int \frac {1}{9} (88+188 x+144 x^2+36 x^3+(22+108 x+54 x^2) \log (x^2)+18 x \log ^2(x^2)) \, dx\)
  3.19.12 \(\int \frac {-x+2 x^2-8 e^{2 x} x^2-8 x^3+(2 x-8 e^{2 x} x-8 x^2) \log (x)+(-2 e^{2 x}-2 x) \log ^2(x)}{4 x^2+4 x \log (x)+\log ^2(x)} \, dx\)
  3.19.13 \(\int \frac {68 x+32 x^2+4 x^3+e^{2 x} (-4-71 x-20 x^2)+e^{2 x} (-7 x-2 x^2) \log (-2 x)}{64 x+32 x^2+4 x^3} \, dx\)
  3.19.14 \(\int \frac {-1216-64 x+(-1600-768 x) \log (x)+320 x^2 \log ^2(x)}{(-30+6 x+(25 x-11 x^2) \log (x)+5 x^3 \log ^2(x)) \log ^5(\frac {24-20 x \log (x)}{5-x+x^2 \log (x)})} \, dx\)
  3.19.15 \(\int \frac {1}{2} (6+e^{\frac {1}{2} (-4+2 e^{x^2}+2 x+3 x^3)} (-2-4 e^{x^2} x-9 x^2)) \, dx\)
  3.19.16 \(\int \frac {-100+250 x+e^{x^4} (50 x+100 x^5)}{16 x^2-40 x^3+25 x^4+e^{2 x^4} x^4+e^{x^4} (-8 x^3+10 x^4)} \, dx\)
  3.19.17 \(\int \frac {-400 x^2-800 x^3+e^{x/400} (-1600+4 x-401 x^2-x^3)}{1200 x^2} \, dx\)
  3.19.18 \(\int \frac {e^{e^{81+108 x+54 x^2+12 x^3+x^4} x} (8+5 x-2 x^2) (-5+4 x+e^{81+108 x+54 x^2+12 x^3+x^4} (-8-869 x-1402 x^2-612 x^3+4 x^4+52 x^5+8 x^6))}{-8-5 x+2 x^2} \, dx\)
  3.19.19 \(\int \frac {-4 x+x^3+e^x (4-x^2)+(-4+x^2) \log (\frac {1}{x})+(2 x-2 x^2+2 e^x x^2) \log (e^x-x-\log (\frac {1}{x}))}{-e^x x^2+x^3+x^2 \log (\frac {1}{x})} \, dx\)
  3.19.20 \(\int \frac {\log (x) \log ^2(\log (x))+e^{\frac {2 x^2}{\log (\log (x))}} (-2 x+4 x \log (x) \log (\log (x)))}{\log (x) \log ^2(\log (x))} \, dx\)
  3.19.21 \(\int \frac {-12-300 e^{5-x^2}-24 x^2}{-12 x+25 e^{5-x^2} (-12 x+\log (5))} \, dx\)
  3.19.22 \(\int \frac {-x+2 x^2-x^3+e^x (-4+5 x-x^2)+e^x (7 x-5 x^2+x^3) \log (\frac {3}{x})}{-x^2+2 x^3-x^4+e^x (4 x-5 x^2+x^3) \log (\frac {3}{x})} \, dx\)
  3.19.23 \(\int \frac {-875 x+25 e^x x^3+125 x \log (x)}{-54000-5400 e^x x-180 e^{2 x} x^2-2 e^{3 x} x^3+(27000+1800 e^x x+30 e^{2 x} x^2) \log (x)+(-4500-150 e^x x) \log ^2(x)+250 \log ^3(x)} \, dx\)
  3.19.24 \(\int \frac {e^{16} (-36-12 x^2+6 x^3)+e^{16} (54+18 x^2) \log (x)+(e^{16} (-27+3 x^2-9 x^3)-18 e^{16} x^2 \log (x)) \log (x^2)}{36 x+24 x^3-12 x^4+4 x^5-4 x^6+x^7+(-108 x-72 x^3+18 x^4-12 x^5+6 x^6) \log (x)+(81 x+54 x^3+9 x^5) \log ^2(x)} \, dx\)
  3.19.25 \(\int \frac {8 x-6 x^2-2 x^3+\sqrt [5]{e} (2 x-2 x^2)+(15+3 x-50 x^2-20 x^3-2 x^4+\sqrt [5]{e} (-10 x^2-2 x^3)+(-3+10 x^2+2 \sqrt [5]{e} x^2+2 x^3) \log (x)) \log (-5-x+\log (x))+(2 x-2 x^2+(-10 x^2-2 x^3+2 x^2 \log (x)) \log (-5-x+\log (x))) \log (\log (-5-x+\log (x)))}{(-5 x^2-x^3+x^2 \log (x)) \log (-5-x+\log (x))} \, dx\)
  3.19.26 \(\int \frac {36+372 x-1075 x^2+1250 x^3-777 x^4+262 x^5-42 x^6+2 x^7+e^x (-32 x^2+32 x^3-8 x^5+2 x^6)+(-2-5 x+11 x^2-6 x^3+x^4) \log (x)-x \log ^2(x)}{-16 x+24 x^2-12 x^3+2 x^4} \, dx\)
  3.19.27 \(\int \frac {1}{9} e^{\frac {1}{3} (-12+15 x^2-80 e^{2 x/3} x^2-160 e^{x/3} x^3-80 x^4)} (9+90 x^2-960 x^4+e^{2 x/3} (-480 x^2-160 x^3)+e^{x/3} (-1440 x^3-160 x^4)) \, dx\)
  3.19.28 \(\int \frac {1}{4} (-20-2 e^x-20 e^{5+x}+x) \, dx\)
  3.19.29 \(\int \frac {e (-75-27 x^2-4 x^3)+e^{e^x} (e (-3-x^2)+e^{1+x} (3 x-x^2-x^3))}{5625-2850 x-3689 x^2+726 x^3+805 x^4+108 x^5+4 x^6+e^{2 e^x} (9-6 x-5 x^2+2 x^3+x^4)+e^{e^x} (450-264 x-274 x^2+80 x^3+58 x^4+4 x^5)} \, dx\)
  3.19.30 \(\int \frac {e^3 x^2-5 e^8 x^3+e^5 (-e^6+10 e^{11} x-25 e^{16} x^2)+(-e^3 x^2+e^5 (-e^6+10 e^{11} x-25 e^{16} x^2)) \log (x)}{(-e^3 x^3+5 e^8 x^4+e^5 (e^6 x-10 e^{11} x^2+25 e^{16} x^3)) \log (x)} \, dx\)
  3.19.31 \(\int \frac {-x+18 e^{2 x} x+e^x (-54 x-18 e^4 x+18 x \log (5))+(-80-54 e^4-9 e^8-9 e^{2 x}+x+e^x (54+18 e^4-18 \log (5))+(54+18 e^4) \log (5)-9 \log ^2(5)) \log (-80-54 e^4-9 e^8-9 e^{2 x}+x+e^x (54+18 e^4-18 \log (5))+(54+18 e^4) \log (5)-9 \log ^2(5))}{80 x^2+54 e^4 x^2+9 e^8 x^2+9 e^{2 x} x^2-x^3+(-54 x^2-18 e^4 x^2) \log (5)+9 x^2 \log ^2(5)+e^x (-54 x^2-18 e^4 x^2+18 x^2 \log (5))+(4000 x+2700 e^4 x+450 e^8 x+450 e^{2 x} x-50 x^2+(-2700 x-900 e^4 x) \log (5)+450 x \log ^2(5)+e^x (-2700 x-900 e^4 x+900 x \log (5))) \log (-80-54 e^4-9 e^8-9 e^{2 x}+x+e^x (54+18 e^4-18 \log (5))+(54+18 e^4) \log (5)-9 \log ^2(5))+(50000+33750 e^4+5625 e^8+5625 e^{2 x}-625 x+(-33750-11250 e^4) \log (5)+5625 \log ^2(5)+e^x (-33750-11250 e^4+11250 \log (5))) \log ^2(-80-54 e^4-9 e^8-9 e^{2 x}+x+e^x (54+18 e^4-18 \log (5))+(54+18 e^4) \log (5)-9 \log ^2(5))} \, dx\)
  3.19.32 \(\int \frac {e^{\frac {4}{2+x}} (120+48 x-18 x^2-32 x^3-6 x^4)}{576+864 x+468 x^2+12 x^3-111 x^4-48 x^5-2 x^6+4 x^7+x^8} \, dx\)
  3.19.33 \(\int \frac {2 x-3 x^2+x^3-x^4+5 e^{-e^x-x} (1-x-e^x x+x^2)+(-5 e^{-e^x-x}-x+x^2) \log (-5 e^{-e^x-x} x-x^2+x^3)}{5 e^{-e^x-x} x^2+x^3-x^4} \, dx\)
  3.19.34 \(\int \frac {e^{-5-\frac {x^2}{e^5}} (e^5-2 x^2+2 x^3)}{4-8 x+4 x^2} \, dx\)
  3.19.35 \(\int \frac {e^{-e^{2/x}+e^{-e^{2/x}} (4-2 e^{2 x})} (480 e^{2/x}-60 e^{e^{2/x}} x+e^{2 x} (-240 e^{2/x}-240 x^2))}{x^3} \, dx\)
  3.19.36 \(\int \frac {(-32 x^2+64 x^4) \log (2 x)-12 e^{3 \log ^2(\log ^2(2 x))} \log (\log ^2(2 x))}{x \log (2 x)} \, dx\)
  3.19.37 \(\int \frac {x^2 \log ^2(x)+e^{\frac {12}{\log (x)}} (-12+(-1+x) \log ^2(x))}{e^{\frac {12}{\log (x)}} x \log ^2(x)+x^2 \log ^2(x)} \, dx\)
  3.19.38 \(\int (-3+16 x-4 e x+e^5 (-1+8 x-2 e x)) \, dx\)
  3.19.39 \(\int \frac {e^{e^{-2+x}} (e^8 (25-10 x+x^2)+e^4 (5 x^2-x^3))+e^{e^{-2+x}} (e^8 (-25+10 x-x^2)+e^4 (-15 x^2+2 x^3)+e^{-2+x} (e^8 (25 x-10 x^2+x^3)+e^4 (5 x^3-x^4))) \log (x) \log (\log (x))}{(x^6+e^8 (25 x^2-10 x^3+x^4)+e^4 (10 x^4-2 x^5)) \log (x)} \, dx\)
  3.19.40 \(\int \frac {-2 \log (5)+(-1-2 x^2) \log (5) \log (x^2)+(1-2 x^2) \log (5) \log (x^2) \log (x^2 \log (x^2))}{e^{x^2} \log (x^2)+2 e^{x^2} \log (x^2) \log (x^2 \log (x^2))+e^{x^2} \log (x^2) \log ^2(x^2 \log (x^2))} \, dx\)
  3.19.41 \(\int \frac {1}{25} (200 x-375 x^2+100 x^3+e^{\frac {e^5 x}{25}} (200 x-300 x^2+e^5 (4 x^2-4 x^3))) \, dx\)
  3.19.42 \(\int \frac {2+2 \log (x)+2 \log ^2(x)}{256 x \log (x)+224 x \log ^2(x)-31 x \log ^3(x)+x \log ^4(x)+(32 x \log (x)+30 x \log ^2(x)-2 x \log ^3(x)) \log (\frac {3+3 \log (x)}{\log (x)})+(x \log (x)+x \log ^2(x)) \log ^2(\frac {3+3 \log (x)}{\log (x)})} \, dx\)
  3.19.43 \(\int \frac {-x^2-4 x^3+16 x^4+e^x (4 x^3+4 x^4)-2 \log ^2(4)-4 x^3 \log (x)}{x^3} \, dx\)
  3.19.44 \(\int \frac {4+10 x-2 x^2-2 x^3+(-4 x+2 x^2) \log (e^{-4-2 e^3+4 x})+(-4 x+2 x^2) \log (x)+(2+6 x+2 x^2-2 x \log (e^{-4-2 e^3+4 x})-2 x \log (x)) \log (x-\log (e^{-4-2 e^3+4 x})-\log (x))}{-x^2+x \log (e^{-4-2 e^3+4 x})+x \log (x)} \, dx\)
  3.19.45 \(\int \frac {-6 e^4+8 x+e^x (10 x^3-5 x^4+e^8 (10 x-5 x^2)+e^4 (-20 x^2+10 x^3))}{-2 e^4 x+2 x^2+e^x (5 e^8 x^2-10 e^4 x^3+5 x^4)} \, dx\)
  3.19.46 \(\int \frac {e^{\frac {-26 x+15 x^2}{-26+13 x}} (52-60 x+15 x^2)}{52-52 x+13 x^2} \, dx\)
  3.19.47 \(\int \frac {e^{-\frac {5-e^x+x+\log (4)}{x}} \log ^{-1+e^{-\frac {5-e^x+x+\log (4)}{x}}}(x) (x+(5+e^x (-1+x)+\log (4)) \log (x) \log (\log (x)))}{x^2} \, dx\)
  3.19.48 \(\int \frac {-2-80 x+8 x \log (3)+(-120 x+12 x \log (3)) \log (x)+(-60 x+6 x \log (3)) \log ^2(x)+(-10 x+x \log (3)) \log ^3(x)}{8 x+12 x \log (x)+6 x \log ^2(x)+x \log ^3(x)} \, dx\)
  3.19.49 \(\int \frac {524288 x^9+(20-10485760 x^8-2621440 x^9) \log (3)}{-x^2+(20 x+5 x^2) \log (3)} \, dx\)
  3.19.50 \(\int \frac {-25 x^4+e^{2 x} (-20+8 x)+e^x (-60 x^2+20 x^3)}{4 x^6} \, dx\)
  3.19.51 \(\int \frac {1}{8 \log (\log (\log (6)))} \, dx\)
  3.19.52 \(\int \frac {e^{2+x} (-4 e^2-2 e^{2+x})+(-25 e^x+e^{2+2 x}) \log (-25+e^{2+x})}{(-100 e^2-50 e^{2+x}+e^{2+x} (4 e^2+2 e^{2+x})) \log (-25+e^{2+x})} \, dx\)
  3.19.53 \(\int \frac {-1+3 x}{-3 x^2+x \log (x)} \, dx\)
  3.19.54 \(\int \frac {-e^4+e^{4+x} (-3+x)}{32-32 x+8 x^2} \, dx\)
  3.19.55 \(\int \frac {e^{1+x} (1-x)-5 e x^2+(e^{1+x}-6 x+5 e x^2) \log (\frac {-e^{1+x}+6 x-5 e x^2}{3 x})}{e^{1+x} x^2-6 x^3+5 e x^4+(2 e^{1+x} x-12 x^2+10 e x^3) \log (\frac {-e^{1+x}+6 x-5 e x^2}{3 x})+(e^{1+x}-6 x+5 e x^2) \log ^2(\frac {-e^{1+x}+6 x-5 e x^2}{3 x})} \, dx\)
  3.19.56 \(\int \frac {e^{-x} (40+10 x+(-60 x-10 x^2) \log (x))}{64 x+48 x^2+12 x^3+x^4} \, dx\)
  3.19.57 \(\int \frac {6+2 e^x+2 x+e^x (-2+2 x) \log (x)+e^{3+e^e} (-3-e^x-x+e^x (1-x) \log (x))}{9+(-6 e^x-6 x) \log (x)+(e^{2 x}+2 e^x x+x^2) \log ^2(x)} \, dx\)
  3.19.58 \(\int \frac {1}{4} e^{-x} (-8+12 e^x-2 x-3 x^2+2 x^3+(-4 x-x^2+x^3) \log (3 x)) \, dx\)
  3.19.59 \(\int \frac {5 x+22 x^2+13 x^3+2 x^4+(5+4 x+5 x^2+4 x^3) \log (e^x (1+2 x^2+x^4))}{1+x^2} \, dx\)
  3.19.60 \(\int \frac {e^{\frac {e^9-x \log (\frac {e^{e^2} \log ^2(-4+x)}{x^2})}{\log (\frac {e^{e^2} \log ^2(-4+x)}{x^2})}} (-2 e^9 x+e^9 (-8+2 x) \log (-4+x)+(4 x-x^2) \log (-4+x) \log ^2(\frac {e^{e^2} \log ^2(-4+x)}{x^2}))}{(-4 x+x^2) \log (-4+x) \log ^2(\frac {e^{e^2} \log ^2(-4+x)}{x^2})} \, dx\)
  3.19.61 \(\int \frac {-2+(5 x-5 e^x x-40 x^2+(x-e^x x-8 x^2) \log (\frac {x^2}{16})) \log ^2(5+\log (\frac {x^2}{16}))}{(5 x+x \log (\frac {x^2}{16})) \log ^2(5+\log (\frac {x^2}{16}))} \, dx\)
  3.19.62 \(\int \frac {320-432 x^2+204 x^4-41 x^6+3 x^8+e^{3 x} (5 x^3-30 x^4+57 x^5-22 x^6-36 x^7+24 x^8)+e^{2 x} (60 x^2-240 x^3+189 x^4+204 x^5-195 x^6-36 x^7+36 x^8)+(-4 x^2-3 x^4) \log (4)+e^x (240 x-480 x^2-264 x^3+528 x^4+87 x^5-174 x^6-9 x^7+18 x^8+(x^3-4 x^4-4 x^5) \log (4))}{-64 x^2+48 x^4-12 x^6+x^8+e^x (-48 x^3+96 x^4+24 x^5-48 x^6-3 x^7+6 x^8)+e^{3 x} (-x^5+6 x^6-12 x^7+8 x^8)+e^{2 x} (-12 x^4+48 x^5-45 x^6-12 x^7+12 x^8)} \, dx\)
  3.19.63 \(\int \frac {1}{40} (200+5 x^4-2 x^3 \log (4)) \, dx\)
  3.19.64 \(\int \frac {16 x^2+(-4608+1440 x-72 x^2-54 x^3+18 x^4) \log (x)+(-1152 x+288 x^2-72 x^3) \log ^2(x)}{(2304 x-288 x^2-279 x^3+18 x^4+9 x^5) \log (x)+(1152 x^2-72 x^3-72 x^4) \log ^2(x)+144 x^3 \log ^3(x)+16 x^3 \log (x) \log (\log (x))} \, dx\)
  3.19.65 \(\int \frac {-18 x^3+8 x^3 \log (x)}{4-4 \log (x)+\log ^2(x)} \, dx\)
  3.19.66 \(\int \frac {64+208 x+33 x^2+2 x^3+(-16-50 x-4 x^2) \log (5)+(1+3 x) \log ^2(5)+e^x (-80-266 x-70 x^2-10 x^3-x^4+(26+82 x+10 x^2+x^3) \log (5)+(-2-6 x) \log ^2(5))+e^{2 x} (25+85 x+31 x^2+3 x^3+(-10-32 x-6 x^2) \log (5)+(1+3 x) \log ^2(5))}{64 x+16 x^2+x^3+(-16 x-2 x^2) \log (5)+x \log ^2(5)+e^x (-80 x-26 x^2-2 x^3+(26 x+4 x^2) \log (5)-2 x \log ^2(5))+e^{2 x} (25 x+10 x^2+x^3+(-10 x-2 x^2) \log (5)+x \log ^2(5))} \, dx\)
  3.19.67 \(\int \frac {e^{-2+x} (32 e^{2-x} x^5+e^{\frac {2 e^{-2+x} (-8+2 x)}{x}} (256-256 x-32 e^{2-x} x+64 x^2)+e^{\frac {e^{-2+x} (-8+2 x)}{x}} (256 x^2-256 x^3+64 x^4))}{x^4} \, dx\)
  3.19.68 \(\int \frac {-70+85 x-25 x^2+(-10+10 x) \log (x)+(-5+5 x) \log (3 x)}{17 x-5 x^2+2 x \log (x)+x \log (3 x)} \, dx\)
  3.19.69 \(\int \frac {1-6 x+11 x^2-6 x^3+x^4+(18-54 x+18 x^2) \log (3)+81 \log ^2(3)+e^{e^x-x} ((-1+x-2 x^2+x^3) \log (3)+(-9+9 x) \log ^2(3)+e^x ((-x+3 x^2-x^3) \log (3)-9 x \log ^2(3)))}{1-6 x+11 x^2-6 x^3+x^4+(18-54 x+18 x^2) \log (3)+81 \log ^2(3)} \, dx\)
  3.19.70 \(\int \frac {20-40 x+20 x^2+(20-20 x^2) \log (4 x)+(-40-x) \log ^2(4 x)}{x^2 \log ^2(4 x)} \, dx\)
  3.19.71 \(\int \frac {e^{-\frac {x}{\log (3)}} (-x^4+4 x^3 \log (3)+e^{\frac {x}{\log (3)}} (15+6 x) \log (3))}{3 \log (3)} \, dx\)
  3.19.72 \(\int \frac {-2-6 x-18 x^2}{1+81 x^4-2 x \log (x^3)+x^2 \log ^2(x^3)+3 x^2 (-6+6 x \log (x^3))} \, dx\)
  3.19.73 \(\int (76-6 e^5 x) \, dx\)
  3.19.74 \(\int \frac {-10-8 x+2 x^2+(15+17 x-4 x^2) \log ^2(-\frac {x}{-5+x})+(-5-9 x+2 x^2) \log ^4(-\frac {x}{-5+x})+\log (x) (-5+x-10 \log (-\frac {x}{-5+x})+(5-x) \log ^2(-\frac {x}{-5+x}))}{-5+x+(10-2 x) \log ^2(-\frac {x}{-5+x})+(-5+x) \log ^4(-\frac {x}{-5+x})} \, dx\)
  3.19.75 \(\int \frac {e^{e^{\frac {-256+32 x^3-x^6+x^4 \log (5)}{x^3}}+x} (-x^4+e^{\frac {-256+32 x^3-x^6+x^4 \log (5)}{x^3}} (-768+3 x^6-x^4 \log (5)))}{x^4} \, dx\)
  3.19.76 \(\int \frac {-2 x+e^{-4-e^{x^4}+e^{-4-e^{x^4}+x}+x} (2 x-8 e^{x^4} x^4)}{x+e^{e^{-4-e^{x^4}+x}} x-x^2} \, dx\)
  3.19.77 \(\int \frac {e^{\frac {2 x+12 x^3-3 x^4+(-3-12 x^2+3 x^3) \log (\frac {x}{\log (3)})}{-3-12 x^2+3 x^3}} (3-2 x+24 x^2-34 x^3+56 x^4-72 x^5+27 x^6-3 x^7)}{3 x+24 x^3-6 x^4+48 x^5-24 x^6+3 x^7} \, dx\)
  3.19.78 \(\int \frac {52-26 x+4 x^2+e^{1+2 x^2+x^4} (-4+2 x+16 x^2-4 x^3+16 x^4-4 x^5)}{169+e^{2+4 x^2+2 x^4}-26 x^2+x^4+e^{1+2 x^2+x^4} (-26+2 x^2)} \, dx\)
  3.19.79 \(\int (2 x+e^x x+e^x (1+x) \log (-e^x)) \, dx\)
  3.19.80 \(\int \frac {(18+14 x^4+2 \log (3)) \log (\frac {x}{81-18 x^4+x^8+(18-2 x^4) \log (3)+\log ^2(3)})}{9 x-x^5+x \log (3)} \, dx\)
  3.19.81 \(\int \frac {-1528-320 x+(152+32 x) \log (3)}{6859+4332 x+912 x^2+64 x^3} \, dx\)
  3.19.82 \(\int e^{1-2 e^x x+e^{2 x+e^{4 x} x} x} (e^x (2+2 x)+e^{x+e^{4 x} x} (e^x (-1-2 x)+e^{5 x} (-x-4 x^2))) \, dx\)
  3.19.83 \(\int \frac {144+72 x^2+27 x^4+e^{2 x} (16+12 x+8 x^2+3 x^4)+e^x (96+36 x+48 x^2+27 x^4)}{27 e^{\frac {2}{x^2}} x^4+18 e^{\frac {2}{x^2}+x} x^4+3 e^{\frac {2}{x^2}+2 x} x^4} \, dx\)
  3.19.84 \(\int \frac {-30-62 x^2+56 x^3+4 x^4+e^{\frac {\log ^2(x)}{5}} (30 x^3-6 x \log (x))}{-30 x+28 x^2+15 e^{\frac {\log ^2(x)}{5}} x^2+2 x^3} \, dx\)
  3.19.85 \(\int \frac {1}{x \log (x)} \, dx\)
  3.19.86 \(\int \frac {-x+25 x^2-8 x^3-\log (3)}{4 x^2} \, dx\)
  3.19.87 \(\int \frac {-162 x+108 x^2+518 x^3-160 x^4-546 x^5-4 x^6+186 x^7+56 x^8+4 x^9+e^{2 x} (-2 x+6 x^3+2 x^4-6 x^5-4 x^6+2 x^7+2 x^8)+e^x (36 x-12 x^2-110 x^3+110 x^5+36 x^6-34 x^7-24 x^8-2 x^9)+(486 x^2-18 x^3-674 x^4-56 x^5+182 x^6+74 x^7+6 x^8+e^{2 x} (6 x^2+2 x^3-8 x^4-6 x^5+2 x^6+4 x^7)+e^x (-108 x^2-16 x^3+144 x^4+60 x^5-32 x^6-44 x^7-4 x^8)) \log (x)+(-324 x^3-90 x^4-6 x^5+18 x^6+2 x^7+e^{2 x} (-4 x^3-2 x^4+2 x^6)+e^x (72 x^3+28 x^4+2 x^5-20 x^6-2 x^7)) \log ^2(x)}{-1+3 x^2-3 x^4+x^6} \, dx\)
  3.19.88 \(\int \frac {-4 x^{12}+13 x^{12} \log (x)}{5 \log (3) \log ^5(x)} \, dx\)
  3.19.89 \(\int \frac {8 \log (5)+e^{\frac {e^{x/8}+16 \log (5)-3 e^x \log (5)}{\log (5)}} (-e^{x/8}+24 e^x \log (5))}{8 \log (5)} \, dx\)
  3.19.90 \(\int \frac {-30-38 x+30 x^2+30 x^3}{15-30 x^2+15 x^4} \, dx\)
  3.19.91 \(\int \frac {e^{2 x+\frac {\log (x^3)}{e^3}} (\frac {3 \log (x^3)}{e^3}+2 x \log (x^3))}{x \log (x^3)} \, dx\)
  3.19.92 \(\int \frac {-8-7 x+(12+6 x) \log (x)}{-20 x-5 x^2+(12 x+3 x^2) \log (x)} \, dx\)
  3.19.93 \(\int \frac {8-17 x+10 x^2-4 x^3+e^x (x-3 x^2+3 x^3-x^4)}{4 x-9 x^2+10 x^3-6 x^4+x^5+e^x (x^2-2 x^3+x^4)} \, dx\)
  3.19.94 \(\int \frac {e^{-x} (e^x (1+x)+e^{5 e^{-x} x} (-5 x+5 x^2))}{x} \, dx\)
  3.19.95 \(\int \frac {-392+112 x-8 x^2+e^{\frac {-6 x+x^2}{-7+x}} (-42 x^3+14 x^4-x^5)}{49 x^3-14 x^4+x^5} \, dx\)
  3.19.96 \(\int \frac {-64-32 \log (x^2)+e^{\frac {e^{x^2}}{x}+x^2} (-x+2 x^3) \log ^3(x^2)}{x^3 \log ^3(x^2)} \, dx\)
  3.19.97 \(\int \frac {e^{-e^x} (983040+819200 x-215040 x^2-460800 x^3-501760 x^4-384000 x^5-180480 x^6-53120 x^7-9600 x^8-960 x^9-40 x^{10}+e^{e^x} (-589824-491520 x+129024 x^2+276480 x^3+301056 x^4+230400 x^5+108288 x^6+31872 x^7+5760 x^8+576 x^9+24 x^{10})+e^x (737280+1228800 x+1433600 x^2+1274880 x^3+921600 x^4+527360 x^5+245760 x^6+94080 x^7+26560 x^8+4800 x^9+480 x^{10}+20 x^{11}))}{4096+12288 x+18432 x^2+17152 x^3+10752 x^4+4608 x^5+1328 x^6+240 x^7+24 x^8+x^9} \, dx\)
  3.19.98 \(\int e^{-x^4} (-78+48 x^3+300 x^4+e^{x^4} (4+51 x)+(-3+2 e^{x^4} x+12 x^4) \log (x)) \, dx\)
  3.19.99 \(\int \frac {2 x^2 \log (\frac {2}{x})+e^{\frac {1}{x+\log (\frac {3}{\log (\frac {2}{x})})}} (-1-x \log (\frac {2}{x})) \log (x)+4 x \log (\frac {2}{x}) \log (\frac {3}{\log (\frac {2}{x})})+2 \log (\frac {2}{x}) \log ^2(\frac {3}{\log (\frac {2}{x})})}{x^3 \log (\frac {2}{x}) \log (x)+2 x^2 \log (\frac {2}{x}) \log (x) \log (\frac {3}{\log (\frac {2}{x})})+x \log (\frac {2}{x}) \log (x) \log ^2(\frac {3}{\log (\frac {2}{x})})} \, dx\)
  3.19.100 \(\int \frac {e^{\frac {2 (-x+e \log (x))}{e}} (-2 x^2+e (4 x+x^2))+e (8 x+4 x^2) \log (5)+(e^{\frac {2 (-x+e \log (x))}{e}} (-2 x+e (2+x))+4 e x \log (5)) \log (\frac {1}{4} (e^{\frac {2 (-x+e \log (x))}{e}}+4 \log (5)))}{2 e^{1+\frac {2 (-x+e \log (x))}{e}} x+8 e x \log (5)} \, dx\)