3.17 Integrals 1601 to 1700

  3.17.1 \(\int \frac {e^{5+e^{\frac {11 x-x^2+10 x^3-12 x^4+7 x^5-x^6}{-5+x}}+\frac {11 x-x^2+10 x^3-12 x^4+7 x^5-x^6}{-5+x}} (-55+10 x-151 x^2+260 x^3-211 x^4+58 x^5-5 x^6)}{25-10 x+x^2} \, dx\)
  3.17.2 \(\int \frac {200+200 \log (x)+x^2 \log ^2(x)}{x^2 \log ^2(x)} \, dx\)
  3.17.3 \(\int \frac {-4 x+(3+x) \log (3+x) \log (\log ^4(3+x))}{(9+3 x) \log (3+x) \log ^2(\log ^4(3+x))} \, dx\)
  3.17.4 \(\int \frac {1024-448 x+8 x^2-208 x^3+9 x^4}{1024 x-192 x^2+8 x^3-16 x^4+x^5} \, dx\)
  3.17.5 \(\int \frac {-10 x-x^5+(15 x+2 x^4) \log (x^2)+(-10-x^3) \log ^2(x^2)}{2 x^5-4 x^4 \log (x^2)+2 x^3 \log ^2(x^2)} \, dx\)
  3.17.6 \(\int \frac {50 \log (6) \log (2 x)}{x} \, dx\)
  3.17.7 \(\int (36 x+9 x^2) \, dx\)
  3.17.8 \(\int \frac {e^{8 x} (48 x^3+96 x^4) \log (16-24 e^4+9 e^8+e^{16 x} x^8+e^{8 x} (8 x^4-6 e^4 x^4))}{4-3 e^4+e^{8 x} x^4} \, dx\)
  3.17.9 \(\int \frac {e (32 x+8 x^2-50 x^5)}{768+768 x+960 x^2+384 x^3+2592 x^4+1200 x^5+1200 x^6+1875 x^8} \, dx\)
  3.17.10 \(\int \frac {-e^{e^2+\frac {e^{e^2}}{10 x^2}}-240 x^3+160 x^4+e^{3 x} (-80 x^3+220 x^4-120 x^5)+e^{6 x} (20 x^3-50 x^4+30 x^5)+e^{\frac {e^{e^2}}{20 x^2}} (e^{e^2} (6+e^{3 x} (-1+x)-4 x)+40 x^3+e^{3 x} (20 x^3-30 x^4))}{5 x^3} \, dx\)
  3.17.11 \(\int \frac {-2 x^2 \log (x) \log (\frac {5 e^x \log (x)}{x})+e^{10} \log ^2(\frac {5 e^x \log (x)}{x}) (-32-16 x-2 x^2+(32-16 x-14 x^2-2 x^3) \log (x)+(-8 x-2 x^2) \log (x) \log (\frac {5 e^x \log (x)}{x}))+e^5 \log (\frac {5 e^x \log (x)}{x}) (8 x+2 x^2+(-8 x+6 x^2+2 x^3) \log (x)+(8 x+4 x^2) \log (x) \log (\frac {5 e^x \log (x)}{x}))}{x \log (x) \log (\frac {5 e^x \log (x)}{x})} \, dx\)
  3.17.12 \(\int \frac {e^{\log ^2(2)}-16 x}{e^{\log ^2(2)} x-8 x^2} \, dx\)
  3.17.13 \(\int \frac {1}{4} e^{-e^{\frac {x^2}{8}}} (e^{e^{\frac {x^2}{8}}} (12-8 x)-8 x+e^{\frac {x^2}{8}} x^3) \, dx\)
  3.17.14 \(\int \frac {-3 e^{3/x}+e^{-16+e^x-3 x^2-x^4-x^5} (e^x x^2-6 x^3-4 x^5-5 x^6)}{x^2} \, dx\)
  3.17.15 \(\int \frac {5+10 x+2 x^2-375 x^3-75 x^4+250 x^5+50 x^6-35 x^7-7 x^8}{5 x+x^2} \, dx\)
  3.17.16 \(\int \frac {-27000 x+5400 x^2+(216000-54000 x-27000 x^2) \log (4+x)+(9000 x-1800 x^2+(-72000+39600 x+14400 x^2) \log (4+x)) \log (\frac {x^2}{\log (4+x)})+(-7200 x-1800 x^2) \log (4+x) \log ^2(\frac {x^2}{\log (4+x)})}{(-500 x+175 x^2+15 x^3-11 x^4+x^5) \log (4+x)} \, dx\)
  3.17.17 \(\int \frac {1}{2} (20+e^{\frac {1}{2} (-x+2 e^2 x-4 x^2)} (1-2 e^2+8 x)) \, dx\)
  3.17.18 \(\int \frac {1}{3} (15-4 \log (176)) \, dx\)
  3.17.19 \(\int \frac {-5+x^2-e^{\frac {x^2}{2}} x^3+2 \log (x)-\log ^2(x)}{x^2} \, dx\)
  3.17.20 \(\int \frac {e^{-\frac {e^{4 x}-16 e^{3 x} \log (2 x)+e^{2 x} (96-2 x) \log ^2(2 x)+e^x (-256+16 x) \log ^3(2 x)+(256-32 x+x^2) \log ^4(2 x)}{\log ^4(2 x)}} (e^{4 x} (20 x-4 x^2)+(e^{3 x} (-240 x+48 x^2)+e^{4 x} (-20 x^2+4 x^3)) \log (2 x)+(e^{3 x} (240 x^2-48 x^3)+e^{2 x} (960 x-212 x^2+4 x^3)) \log ^2(2 x)+(e^x (-1280 x+336 x^2-16 x^3)+e^{2 x} (-950 x^2+210 x^3-4 x^4)) \log ^3(2 x)+e^x (1200 x^2-320 x^3+16 x^4) \log ^4(2 x)+(10 x+157 x^2-42 x^3+2 x^4) \log ^5(2 x))}{\log ^5(2 x)} \, dx\)
  3.17.21 \(\int \frac {e^{\frac {-256 x+512 x^2+128 x^3-646 x^4-11 x^5+320 x^6+32 x^7-64 x^8-16 x^9}{512-1024 x-256 x^2+1280 x^3+22 x^4-640 x^5-64 x^6+128 x^7+32 x^8}} (-65536+262144 x-196608 x^2-464896 x^3+642560 x^4+340480 x^5-721920 x^6-161536 x^7+456711 x^8+80384 x^9-178368 x^{10}-41984 x^{11}+39584 x^{12}+14336 x^{13}-3072 x^{14}-2048 x^{15}-256 x^{16})}{131072-524288 x+393216 x^2+917504 x^3-1266688 x^4-677888 x^5+1436160 x^6+323072 x^7-917262 x^8-161536 x^9+359040 x^{10}+84736 x^{11}-79168 x^{12}-28672 x^{13}+6144 x^{14}+4096 x^{15}+512 x^{16}} \, dx\)
  3.17.22 \(\int \frac {-12 x^2-1203 x^4+e^5 (12-6 x-3609 x^2)}{e^{10}+2 e^5 x^2+x^4} \, dx\)
  3.17.23 \(\int \frac {10-2 e^x+(-5+e^x (1+x)) \log (4 x^2)}{\log ^2(4 x^2)} \, dx\)
  3.17.24 \(\int \frac {3 e^{6 e^x x}+20 x-90 e^{5 e^x x} x^2+3 x^3+2000 x^4+225 x^6+5625 x^9+46875 x^{12}+e^{4 e^x x} (9 x+1125 x^4)+e^{3 e^x x} (-180 x^3-7500 x^6)+e^{2 e^x x} (9 x^2+1350 x^5+28125 x^8+e^x (40 x+40 x^2))+e^{e^x x} (-400 x^2-90 x^4-4500 x^7-56250 x^{10}+e^x (-200 x^3-200 x^4))}{3 e^{6 e^x x} x-90 e^{5 e^x x} x^3+3 x^4+225 x^7+5625 x^{10}+46875 x^{13}+e^{4 e^x x} (9 x^2+1125 x^5)+e^{3 e^x x} (-180 x^4-7500 x^7)+e^{2 e^x x} (9 x^3+1350 x^6+28125 x^9)+e^{e^x x} (-90 x^5-4500 x^8-56250 x^{11})} \, dx\)
  3.17.25 \(\int \frac {12+x^2+x^2 \log (3)}{4 x^2} \, dx\)
  3.17.26 \(\int \frac {1}{45} (1020+90 e^5+46 e^{\frac {2}{5} (5+23 x)}+90 x+e^{\frac {1}{5} (5+23 x)} (1594+138 e^5+138 x)) \, dx\)
  3.17.27 \(\int -e^{9-x} \, dx\)
  3.17.28 \(\int \frac {-54 x-6 e^6 x+162 x^2-108 x^3+e^3 (-36 x+54 x^2)+2^{60/x} x^{60/x} (2 x-6 x^2+4 x^3)+2^{20/x} x^{20/x} (54 x-162 x^2+108 x^3+e^6 (-40+2 x)+e^3 (-120+144 x-36 x^2)+(40 e^6+e^3 (120-120 x)) \log (2 x))+2^{40/x} x^{40/x} (-18 x+54 x^2-36 x^3+e^3 (40-44 x+6 x^2)+e^3 (-40+40 x) \log (2 x))}{-27+27 2^{20/x} x^{20/x}-9 2^{40/x} x^{40/x}+2^{60/x} x^{60/x}} \, dx\)
  3.17.29 \(\int \frac {e^x (1-x)}{e^{2 x}+2 e^x x+x^2} \, dx\)
  3.17.30 \(\int \frac {-1+e^{e^{e^{4 x}}} (-20 x+4 e^x x+e^{e^{4 x}+4 x} (16 x-4 e^x x))+5 x \log (x)}{e^{e^{e^{4 x}}} (-20 x+5 e^x x)+5 x \log (x)} \, dx\)
  3.17.31 \(\int \frac {512 x^5+768 x^6+256 x^7+e^x (-512 x^3+512 x^4+1152 x^5+384 x^6)+(-1024 x^4-1280 x^5-384 x^6+e^x (-1024 x^3-1280 x^4-384 x^5)) \log (\frac {e^x+x}{x})}{-e^x x^3-x^4+(3 e^x x^2+3 x^3) \log (\frac {e^x+x}{x})+(-3 e^x x-3 x^2) \log ^2(\frac {e^x+x}{x})+(e^x+x) \log ^3(\frac {e^x+x}{x})} \, dx\)
  3.17.32 \(\int \frac {3440-2592 x-872 x^2+1288 x^3-256 x^4-128 x^5+73 x^6-14 x^7+x^8+(80+96 x-84 x^2+16 x^3) \log (5)}{3600-2400 x-1040 x^2+1320 x^3-256 x^4-128 x^5+73 x^6-14 x^7+x^8} \, dx\)
  3.17.33 \(\int \frac {e^{12+4 x} (5+10 x)+e^{6+2 x} (-10 x+10 x^2)}{x^4+e^{6+2 x} (18 x^2-2 x^3-2 x^4)+e^{12+4 x} (81-18 x-17 x^2+2 x^3+x^4)} \, dx\)
  3.17.34 \(\int \frac {160 e^{1+\frac {5 e}{4 x \log (3)}}}{-125 x^2 \log (3)+75 e^{\frac {5 e}{4 x \log (3)}} x^2 \log (3)-15 e^{\frac {5 e}{2 x \log (3)}} x^2 \log (3)+e^{\frac {15 e}{4 x \log (3)}} x^2 \log (3)} \, dx\)
  3.17.35 \(\int \frac {e^{e^x} (5-6 x+x^2) \log (16)+(-5+6 x-x^2) \log (25-10 x+x^2)+(2 x+e^{e^x+x} (5 x-x^2) \log (16)) \log (e^{-x} x) \log (\log (e^{-x} x))}{(-5 x+x^2) \log (e^{-x} x)} \, dx\)
  3.17.36 \(\int \frac {e^2 (-8-18 x-10 x^2-x^3)+e^2 (8+4 x) \log (\frac {4+2 x}{x})}{32+32 x+10 x^2+x^3} \, dx\)
  3.17.37 \(\int \frac {-64 x-16 x^2-8 x^3+e^{e^x+x} (-8 x^2-4 x^3)+(128+64 x) \log (2+x)}{32 x^2+48 x^3+24 x^4+4 x^5+e^{2 e^x} (2 x^2+x^3)+(256 x+256 x^2+64 x^3) \log (2+x)+(512+256 x) \log ^2(2+x)+e^{e^x} (16 x^2+16 x^3+4 x^4+(64 x+32 x^2) \log (2+x))} \, dx\)
  3.17.38 \(\int \frac {-1-2 x^2-2 e^2 x^2}{(-x+2 x^3+2 e^2 x^3) \log (\frac {-1+2 x^2+2 e^2 x^2}{2 x+2 e^2 x})} \, dx\)
  3.17.39 \(\int \frac {e^{3 e^{\frac {x}{1+x}}-x} (1+x+3 e^{\frac {x}{1+x}} x-x^2-x^3)}{1+2 x+x^2} \, dx\)
  3.17.40 \(\int \frac {-875-350 x+100 x^2+68 x^3+13 x^4+(-25-10 x+5 x^2+2 x^3) \log (5-x^2)}{e^3 (-6125-2800 x+1255 x^2+640 x^3-11 x^4-16 x^5+x^6)+e^3 (-350-80 x+80 x^2+16 x^3-2 x^4) \log (5-x^2)+e^3 (-5+x^2) \log ^2(5-x^2)} \, dx\)
  3.17.41 \(\int \frac {x^2+e^{e^{e^{\frac {e^{-15-5 x+25 x^2}+x^2}{x}}}+e^{\frac {e^{-15-5 x+25 x^2}+x^2}{x}}+\frac {e^{-15-5 x+25 x^2}+x^2}{x}} (x^2+e^{-15-5 x+25 x^2} (-1-5 x+50 x^2))}{x^2} \, dx\)
  3.17.42 \(\int \frac {1}{24} e^{-1-\frac {x^2+x^3}{2 e}} (12 e+48 e^{1+\frac {x^2+x^3}{2 e}}-12 x^2-18 x^3+(2 x+3 x^2) \log (3)) \, dx\)
  3.17.43 \(\int \frac {1}{4} (-4+e^{\frac {1}{4} (e^x+4 x)} (4+e^x)-4 \log (x)) \, dx\)
  3.17.44 \(\int \frac {e^{3+x \log (\frac {e+40 x+40 \log (2)+(5 x+5 \log (2)) \log (x)}{8+\log (x)})} (-e+320 x+80 x \log (x)+5 x \log ^2(x)+(8 e+320 x+320 \log (2)+(e+80 x+80 \log (2)) \log (x)+(5 x+5 \log (2)) \log ^2(x)) \log (\frac {e+40 x+40 \log (2)+(5 x+5 \log (2)) \log (x)}{8+\log (x)}))}{8 e+320 x+320 \log (2)+(e+80 x+80 \log (2)) \log (x)+(5 x+5 \log (2)) \log ^2(x)} \, dx\)
  3.17.45 \(\int \frac {-4 x^3+x^{\frac {2 (-3+3 x^2)}{x}} (-6-x+6 x^2+(6+6 x^2) \log (x))}{-4 x^4+x^{2+\frac {2 (-3+3 x^2)}{x}}} \, dx\)
  3.17.46 \(\int \frac {4 \log (x)+(-2 x+6 x^3+2 x \log (x)) \log (x^2)+(2-4 \log (x)) \log (x^2) \log (\log (x^2))}{(3 x^4-x^2 \log (x)) \log (x^2)+x \log (x) \log (x^2) \log (\log (x^2))} \, dx\)
  3.17.47 \(\int \frac {-4 x^2 \log ^2(10)+4 x^2 \log (10) \log ^2(3 x) \log (\frac {5 e^3+x^2}{e^3})+(-20 e^3-4 x^2) \log (10) \log (3 x) \log ^2(\frac {5 e^3+x^2}{e^3})+(5 e^3+x^2) \log ^3(\frac {5 e^3+x^2}{e^3})+(20 e^3+4 x^2) \log ^3(3 x) \log ^3(\frac {5 e^3+x^2}{e^3})}{(5 e^3 x+x^3) \log ^3(\frac {5 e^3+x^2}{e^3})} \, dx\)
  3.17.48 \(\int (-4+2 x+\log (\frac {4}{9} e^{2 e^3} x)) \, dx\)
  3.17.49 \(\int \frac {e^{-\frac {-e^5+2 x}{x}} (e^5 (-3-x)-9 x-2 x^2)}{x^5} \, dx\)
  3.17.50 \(\int \frac {-2 \log (x)-\log (\frac {5 x}{4})+(-x+x \log (x)) \log ^3(\frac {5 x}{4})}{x \log ^2(x) \log ^3(\frac {5 x}{4})} \, dx\)
  3.17.51 \(\int \frac {-2+2 x+e^x (-x-3 x^2)+(1+e^x x^2) \log (x)}{9 x^2 \log (2)-6 x^2 \log (2) \log (x)+x^2 \log (2) \log ^2(x)} \, dx\)
  3.17.52 \(\int \frac {5}{9+e^3} \, dx\)
  3.17.53 \(\int \frac {e^{\frac {256 e^x x}{\log ^4(2)}} (e^x (256 x-4096 x^2-4352 x^3)+(1-34 x) \log ^4(2))}{5 \log ^4(2)} \, dx\)
  3.17.54 \(\int \frac {4 x+12 x^2+(4 x+8 x^2) \log (x)+3 x \log ^2(x)+(1+x) \log ^3(x)+(8 x+4 x \log (x)+3 \log ^2(x)) \log (3 x)}{4 x} \, dx\)
  3.17.55 \(\int \frac {125-3000 x+1275 x^2-600 x^3+500 x^4+125 x^5+50 x^6+25 x^7+(-125 x-50 x^2-75 x^3) \log (x)}{1250 x+1000 x^3+300 x^5+40 x^7+2 x^9+(100 x+40 x^3+4 x^5) \log (x)+2 x \log ^2(x)} \, dx\)
  3.17.56 \(\int \frac {4-4 e^3+2 x^2+e^{x^4} (-2+8 x^4)}{x^2+2 e^5 x^2} \, dx\)
  3.17.57 \(\int \frac {(5 x+4 e^3 x) \log (x)+(-19+e^3 (8-4 x)-5 x) \log (\frac {1}{5} (38+10 x+e^3 (-16+8 x)))}{(19 x+5 x^2+e^3 (-8 x+4 x^2)) \log ^2(x)} \, dx\)
  3.17.58 \(\int \frac {12+e^{e^x} (2-20 e^{2 x}+e^x (20-2 x))+e^x (80+40 x)}{36+e^{2 e^x}+24 x+4 x^2+e^{e^x} (12+4 x)} \, dx\)
  3.17.59 \(\int \frac {e^{\frac {1}{-x-4 \log (3)+\log (x+e^x \log (x^2))}} (e^x (-16-4 x)-8 x+6 x^2+2 x^3+2 x^4+16 x^3 \log (3)+32 x^2 \log ^2(3)+e^x (2 x^3+16 x^2 \log (3)+32 x \log ^2(3)) \log (x^2)+(-4 x^3-16 x^2 \log (3)+e^x (-4 x^2-16 x \log (3)) \log (x^2)) \log (x+e^x \log (x^2))+(2 x^2+2 e^x x \log (x^2)) \log ^2(x+e^x \log (x^2)))}{x^4+8 x^3 \log (3)+16 x^2 \log ^2(3)+e^x (x^3+8 x^2 \log (3)+16 x \log ^2(3)) \log (x^2)+(-2 x^3-8 x^2 \log (3)+e^x (-2 x^2-8 x \log (3)) \log (x^2)) \log (x+e^x \log (x^2))+(x^2+e^x x \log (x^2)) \log ^2(x+e^x \log (x^2))} \, dx\)
  3.17.60 \(\int \frac {4-x+x^2+e (-1+2 x)+(4-x+x^2) \log (x)}{e (4-x+x^2)} \, dx\)
  3.17.61 \(\int \frac {(-8 x+4 x^2) \log (-2+x) \log (\frac {1}{2} (1+2 x))+(-2 x-4 x^2+(2+3 x-2 x^2) \log (-2+x)) \log ^2(\frac {1}{2} (1+2 x))}{(-2 x^2-3 x^3+2 x^4) \log ^3(-2+x)} \, dx\)
  3.17.62 \(\int \frac {-260+2376 (20-9 x)^{22}+117 x}{-20+9 x} \, dx\)
  3.17.63 \(\int -\frac {1}{x} \, dx\)
  3.17.64 \(\int \frac {-6+16 x-12 x^2}{-21+3 x-4 x^2+2 x^3} \, dx\)
  3.17.65 \(\int \frac {24 x^3-18 e^{2 x} x^3-8 x^5+e^x (-27 x^2-9 x^3+24 x^4)}{9-12 x^2+9 e^{2 x} x^2+4 x^4+e^x (18 x-12 x^3)} \, dx\)
  3.17.66 \(\int \frac {135 x+40 x^6+15 x^7+e^4 (40 x^4+15 x^5)+e^2 (90+80 x^5+30 x^6)}{e^4 x^3+2 e^2 x^4+x^5} \, dx\)
  3.17.67 \(\int \frac {-64-48 x-16 x^2-32 x \log (x)}{-64 x+48 x^2-12 x^3+x^4} \, dx\)
  3.17.68 \(\int \frac {-4 e-8 e \log (\frac {1}{x})}{144 x^2-24 x \log (5)+\log ^2(5)+(192 x^2-16 x \log (5)) \log (\frac {1}{x})+64 x^2 \log ^2(\frac {1}{x})} \, dx\)
  3.17.69 \(\int \frac {1}{4} (16+e^{\frac {1}{4} (-100 x-4 x^2+x \log (4))} (4-100 x-8 x^2+x \log (4))) \, dx\)
  3.17.70 \(\int \frac {1}{25} (40-2 x-10 \log (2)) \, dx\)
  3.17.71 \(\int e^{-6+2 x} (-8 x^7-2 x^8) \, dx\)
  3.17.72 \(\int \frac {46+56 x+12 x^2-6 x^3-2 x^4+e^3 (-16-24 x-12 x^2-2 x^3)}{8+12 x+6 x^2+x^3} \, dx\)
  3.17.73 \(\int \frac {-9+5 \log (\frac {1}{4} (6+e^4-\log (2)))}{\log (\frac {1}{4} (6+e^4-\log (2)))} \, dx\)
  3.17.74 \(\int \frac {300 x^3+300 x^4+(-3600 x^2-4500 x^3-900 x^4) \log (\frac {1+x}{3})+(14400 x+21600 x^2+8100 x^3+900 x^4) \log ^2(\frac {1+x}{3})+(-19200-33600 x-18000 x^2-3900 x^3-300 x^4) \log ^3(\frac {1+x}{3})+\log ^2(x^2) (-30 x^4+(120 x^3+30 x^4) \log (\frac {1+x}{3})+(120 x^2+120 x^3) \log ^2(\frac {1+x}{3})+(-480 x-600 x^2-120 x^3) \log ^3(\frac {1+x}{3}))+\log ^3(x^2) (-6 x^4 \log (\frac {1+x}{3})+(24 x^2+24 x^3) \log ^3(\frac {1+x}{3}))+\log (x^2) ((60 x^3+60 x^4) \log (\frac {1+x}{3})+(-480 x^2-600 x^3-120 x^4) \log ^2(\frac {1+x}{3})+(960 x+1440 x^2+540 x^3+60 x^4) \log ^3(\frac {1+x}{3}))}{\log ^3(x^2) (-5 x^4-5 x^5+(60 x^3+75 x^4+15 x^5) \log (\frac {1+x}{3})+(-240 x^2-360 x^3-135 x^4-15 x^5) \log ^2(\frac {1+x}{3})+(320 x+560 x^2+300 x^3+65 x^4+5 x^5) \log ^3(\frac {1+x}{3}))} \, dx\)
  3.17.75 \(\int -\frac {1}{3 x} \, dx\)
  3.17.76 \(\int \frac {-e^8 x+(x^2)^{\frac {25 e^8-10 x^2}{e^8}} (50 e^8-20 x^2-20 x^2 \log (x^2))}{e^8 x} \, dx\)
  3.17.77 \(\int \frac {e^{\frac {1+2 x+x^2}{4 x^2}} (-1-x-4 x^2)+4 x^2 \log (2)+(-2 e^{\frac {1+2 x+x^2}{4 x^2}} x^2+2 x^2 \log (2)) \log (\frac {e^{e^2}}{e^{\frac {1+2 x+x^2}{4 x^2}}-\log (2)})}{2 e^{\frac {1+2 x+x^2}{4 x^2}} x^2-2 x^2 \log (2)} \, dx\)
  3.17.78 \(\int (-4 e^x+2 e^{2 x}+\log (\frac {5 x}{2})) \, dx\)
  3.17.79 \(\int \frac {-1+e^2 x+\frac {2 (-1+e^2 x)^2}{e^4}}{-1+e^2 x} \, dx\)
  3.17.80 \(\int \frac {-432-288 x-81 x^3+3 e^{12} x^3-81 x^4-27 x^5-3 x^6+e^8 (-27 x^3-9 x^4)+e^4 (144+81 x^3+54 x^4+9 x^5)}{-27 x^3+e^{12} x^3-27 x^4-9 x^5-x^6+e^8 (-9 x^3-3 x^4)+e^4 (27 x^3+18 x^4+3 x^5)} \, dx\)
  3.17.81 \(\int \frac {-10546875 e^{x/6}-3125000 x^3+1875000 x^4-405000 x^5+37800 x^6-1296 x^7+e^{x/8} (-84375000+9703125 x+1265625 x^2)+e^{x/12} (-84375000 x+26859375 x^2-1586250 x^3-50625 x^4)+e^{x/24} (-28125000 x^2+13109375 x^3-1884375 x^4+80325 x^5+675 x^6)}{781250} \, dx\)
  3.17.82 \(\int \frac {48 x+48 x^2+(-24 x^2-24 x \log (x)) \log (x+\log (x)) \log (16 \log ^2(x+\log (x)))+(x+\log (x)) \log (x+\log (x)) \log ^3(16 \log ^2(x+\log (x)))}{(x+\log (x)) \log (x+\log (x)) \log ^3(16 \log ^2(x+\log (x)))} \, dx\)
  3.17.83 \(\int \frac {1}{5} (10+e^{5-e^{10}-x-x^2} (-2-4 x)) \, dx\)
  3.17.84 \(\int \frac {1}{5} (8-160 e^x+40 e^{2 x}+20 x+30 x^2) \, dx\)
  3.17.85 \(\int \frac {3-8 x+x^2-2 x^3}{3+x^2} \, dx\)
  3.17.86 \(\int \frac {-12+84 x-40 x^2+5 x^3+(-160 x+80 x^2-10 x^3) \log (x)+(4-x+(80 x-40 x^2+5 x^3) \log (x)) \log (\frac {-1+(-20 x+5 x^2) \log (x)}{-12 x^2+3 x^3})}{4-x+(80 x-40 x^2+5 x^3) \log (x)} \, dx\)
  3.17.87 \(\int e^{e^{2 (-5-x) \log (x)+2 \log (x) \log (3 e^x \log ^2(x))} x^2+2 (-5-x) \log (x)+2 \log (x) \log (3 e^x \log ^2(x))} (-4 x-2 x^2+2 x \log (3 e^x \log ^2(x))) \, dx\)
  3.17.88 \(\int \frac {x^6 (e^{4 x} (8 x+4 x^2)+\frac {16 e^{6+3 x} (24 x+40 x^2+12 x^3)}{x^2}+\frac {256 e^{12+2 x} (24 x+72 x^2+60 x^3+12 x^4)}{x^4}+\frac {65536 e^{24} (1+4 x^2+12 x^3+12 x^4+4 x^5)}{x^8}+\frac {4096 e^{18+x} (8 x+40 x^2+60 x^3+32 x^4+4 x^5)}{x^6})}{65536 e^{24}} \, dx\)
  3.17.89 \(\int \frac {17+60 x+(4+12 x) \log (4)}{20 e^4 x+4 e^4 x \log (4)} \, dx\)
  3.17.90 \(\int \frac {e^{\frac {1}{2 \log (5 x)}}+2 x \log ^2(5 x)}{2 x \log ^2(5 x)} \, dx\)
  3.17.91 \(\int (-16+16 x+96 x^2-112 x^3-80 x^4+96 x^5+e^{32} (2 x-6 x^2+4 x^3)+e^{16} (4-24 x+12 x^2+48 x^3-40 x^4)) \, dx\)
  3.17.92 \(\int 4 e^{-3+3 x+25 x^2} (3+50 x) \, dx\)
  3.17.93 \(\int e^{e^{-\frac {2+x+2 x^2-\log (4)}{x}} x-\frac {2+x+2 x^2-\log (4)}{x}} (2+3 x-x^2-2 x^3+e^{\frac {2+x+2 x^2-\log (4)}{x}} (1+2 x)+e^{e^4} (2+e^{\frac {2+x+2 x^2-\log (4)}{x}}+x-2 x^2-\log (4))+(-1-x) \log (4)) \, dx\)
  3.17.94 \(\int \frac {e^{729-\frac {e^{2 x}}{x^4}+2 x} (4-2 x)}{x^5} \, dx\)
  3.17.95 \(\int \frac {e^{-4-2 e^{e^9-x^2-2 x \log (1-x)-\log ^2(1-x)}+2 x} (-3 x^2+x^3+2 x^4+e^{e^9-x^2-2 x \log (1-x)-\log ^2(1-x)} (4 x^5+4 x^4 \log (1-x)))}{-1+x} \, dx\)
  3.17.96 \(\int \frac {-4 x^2+2 x^4+(24 x+5 x^2-12 x^3-4 x^4) \log (4)+(-36-24 x+14 x^2+12 x^3+2 x^4) \log ^2(4)}{x^4+(-6 x^3-2 x^4) \log (4)+(9 x^2+6 x^3+x^4) \log ^2(4)} \, dx\)
  3.17.97 \(\int \frac {25-20 x+5 e x+4 x^2+e^8 x^4+e^4 (10 x^2-4 x^3-e x^3)}{e^9 x^5+e (25 x-20 x^2+4 x^3)+e^5 (10 x^3-4 x^4)} \, dx\)
  3.17.98 \(\int \frac {10-10 x-5 x^2+e^x (5+5 x)+e^x (5+5 x+5 x^2) \log (x)}{4 x^2-4 x^3+x^4+e^x (4 x^2-2 x^3) \log (x)+e^{2 x} x^2 \log ^2(x)} \, dx\)
  3.17.99 \(\int \frac {1}{x \log (\frac {1}{5 x})} \, dx\)
  3.17.100 \(\int \frac {5 x^2+30 \log (2)}{x^2 \log (2)} \, dx\)