3.73.1 \(\int \frac {\frac {5 x (-4+5 x^2)}{e^4 (16+20 x^2)}+e^x (4 x+5 x^3)}{4 x+5 x^3} \, dx\)
  3.73.2 \(\int \frac {3125-9395 x+1867 x^2+8632 x^3-6351 x^4+566 x^5+832 x^6-304 x^7+32 x^8+(6250-3125 x-5625 x^2+4750 x^3-200 x^4-864 x^5+304 x^6-32 x^7) \log (2+x)+(6250 x-9385 x^2+3749 x^3+1002 x^4-1200 x^5+336 x^6-32 x^7+(-6250+9375 x-3750 x^2-1000 x^3+1200 x^4-336 x^5+32 x^6) \log (2+x)) \log (\frac {625 x-1001 x^2+600 x^3-160 x^4+16 x^5+(-625+1000 x-600 x^2+160 x^3-16 x^4) \log (2+x)}{625-1000 x+600 x^2-160 x^3+16 x^4})}{-6250 x^2+9385 x^3-3749 x^4-1002 x^5+1200 x^6-336 x^7+32 x^8+(6250 x-9375 x^2+3750 x^3+1000 x^4-1200 x^5+336 x^6-32 x^7) \log (2+x)+(6250 x-9385 x^2+3749 x^3+1002 x^4-1200 x^5+336 x^6-32 x^7+(-6250+9375 x-3750 x^2-1000 x^3+1200 x^4-336 x^5+32 x^6) \log (2+x)) \log (\frac {625 x-1001 x^2+600 x^3-160 x^4+16 x^5+(-625+1000 x-600 x^2+160 x^3-16 x^4) \log (2+x)}{625-1000 x+600 x^2-160 x^3+16 x^4})} \, dx\)
  3.73.3 \(\int \frac {-576 x+(-576-576 x) \log (1+x)+(180 x^2+180 x^3) \log ^2(1+x)}{2304+2304 x+(-1056 x+384 x^2+1440 x^3) \log (1+x)+(121 x^2-209 x^3-105 x^4+225 x^5) \log ^2(1+x)} \, dx\)
  3.73.4 \(\int \frac {e^{-\frac {25 x^4}{4}} (e^{6+\frac {25 x^4}{4}}-25 x^5+e^6 (1-25 x^4))}{2 e^{12}+4 e^6 x+2 x^2} \, dx\)
  3.73.5 \(\int \frac {-4+e^{e^8} (4-4 x^2)+e^{2 e^8} (-1+6 x^2-8 x^3+3 x^4)}{x^2} \, dx\)
  3.73.6 \(\int \frac {1}{3} (-6-640 x-336 x^2+16 x^3+15 x^4+e^8 (96 x+72 x^2+12 x^3)) \, dx\)
  3.73.7 \(\int \frac {25 x^3+e^{\frac {2-50 x^2-25 x^3}{25 x^2}} (-4-25 x^3)}{25 e^{\frac {2-50 x^2-25 x^3}{25 x^2}} x^3+25 x^4+225 x^3 \log (2)} \, dx\)
  3.73.8 \(\int \frac {e^{x+\frac {x^2}{128}} (-1024 x-16 x^2)+128 e^{x+\frac {x^2}{128}} \log (x)+e^{x+\frac {x^2}{128}} (64 x+x^2) \log ^2(x)}{64 x} \, dx\)
  3.73.9 \(\int \frac {8}{15} e^{4 x/3} \, dx\)
  3.73.10 \(\int \frac {5^{\frac {9}{20 x^2-2 x^3+(-40+4 x) \log (5)}} ((-180 x+27 x^2) \log (5)-18 \log ^2(5))}{200 x^4-40 x^5+2 x^6+(-800 x^2+160 x^3-8 x^4) \log (5)+(800-160 x+8 x^2) \log ^2(5)} \, dx\)
  3.73.11 \(\int \frac {e^{-2 e^{3-x^2}} (-54 x-104 e^{3-x^2} x^3+(2 x+4 e^{3-x^2} x^3) \log (x))}{-17576+2028 \log (x)-78 \log ^2(x)+\log ^3(x)} \, dx\)
  3.73.12 \(\int \frac {-2592-2587 x+1306 x^2+5 x^3+(1296+2592 x) \log (x^2)}{5 x^2+10 x^3+5 x^4} \, dx\)
  3.73.13 \(\int \frac {-8+2 x^4-4 x^4 \log (x^2) \log (\log (x^2))+5 x \log (x^2) \log ^2(\log (x^2))}{(4 x-x^5) \log (x^2) \log (\log (x^2))+5 x^2 \log (x^2) \log ^2(\log (x^2))} \, dx\)
  3.73.14 \(\int \frac {e^{\frac {x^2+3 x \log (5)+3 \log (5) \log (x)}{x \log (5)}} (-72 x^2-216 \log (5)+216 \log (5) \log (x))}{(4 x^2 \log (5)+4 e^{\frac {x^2+3 x \log (5)+3 \log (5) \log (x)}{x \log (5)}} x^2 \log (5)+(x^2 \log (5)+e^{\frac {x^2+3 x \log (5)+3 \log (5) \log (x)}{x \log (5)}} x^2 \log (5)) \log (1+e^{\frac {x^2+3 x \log (5)+3 \log (5) \log (x)}{x \log (5)}})) \log ^3(4+\log (1+e^{\frac {x^2+3 x \log (5)+3 \log (5) \log (x)}{x \log (5)}}))} \, dx\)
  3.73.15 \(\int \frac {10+13 x+7 x^2+e (-10-8 x+2 x^2-2 x^3)+(-2-3 x-2 x^2+e (2+2 x)) \log (4)+(7 x+4 x^2+x^3+e (-2 x-4 x^2)-x \log (4)) \log (2 x)}{200 x-80 x^2-72 x^3+16 x^4+8 x^5+(-80 x+16 x^2+16 x^3) \log (4)+8 x \log ^2(4)} \, dx\)
  3.73.16 \(\int \frac {x^7 \log ^9(x)+e^{\frac {1048576+(6291456 x-2097152 x^2) \log (x)+(16515072 x^2-11010048 x^3+1835008 x^4) \log ^2(x)+(24772608 x^3-24772608 x^4+8257536 x^5-917504 x^6) \log ^3(x)+(23224320 x^4-30965760 x^5+15482880 x^6-3440640 x^7+286720 x^8) \log ^4(x)+(13934592 x^5-23224320 x^6+15482880 x^7-5160960 x^8+860160 x^9-57344 x^{10}) \log ^5(x)+(5225472 x^6-10450944 x^7+8709120 x^8-3870720 x^9+967680 x^{10}-129024 x^{11}+7168 x^{12}) \log ^6(x)+(1119744 x^7-2612736 x^8+2612736 x^9-1451520 x^{10}+483840 x^{11}-96768 x^{12}+10752 x^{13}-512 x^{14}) \log ^7(x)+(104977 x^8-279936 x^9+326592 x^{10}-217728 x^{11}+90720 x^{12}-24192 x^{13}+4032 x^{14}-384 x^{15}+16 x^{16}) \log ^8(x)}{x^7 \log ^8(x)}} (-8388608+(-7340032-44040192 x+14680064 x^2) \log (x)+(-37748736 x-88604672 x^2+66060288 x^3-11010048 x^4) \log ^2(x)+(-82575360 x^2-79822848 x^3+118358016 x^4-41287680 x^5+4587520 x^6) \log ^3(x)+(-99090432 x^3-18579456 x^4+107347968 x^5-61014016 x^6+13762560 x^7-1146880 x^8) \log ^4(x)+(-69672960 x^4+20127744 x^5+54190080 x^6-46448640 x^7+15769600 x^8-2580480 x^9+172032 x^{10}) \log ^5(x)+(-27869184 x^5+12773376 x^6+20901888 x^7-22579200 x^8+9461760 x^9-2107392 x^{10}+258048 x^{11}-14336 x^{12}) \log ^6(x)+(-5225472 x^6-1119744 x^7+11321856 x^8-10354176 x^9+4354560 x^{10}-999936 x^{11}+132608 x^{12}-10752 x^{13}+512 x^{14}) \log ^7(x)+(-2612736 x^8+5225472 x^9-4354560 x^{10}+1935360 x^{11}-483840 x^{12}+64512 x^{13}-3584 x^{14}) \log ^8(x)+(x^7+104977 x^8-559872 x^9+979776 x^{10}-870912 x^{11}+453600 x^{12}-145152 x^{13}+28224 x^{14}-3072 x^{15}+144 x^{16}) \log ^9(x))}{x^8 \log ^9(x)+e^{\frac {1048576+(6291456 x-2097152 x^2) \log (x)+(16515072 x^2-11010048 x^3+1835008 x^4) \log ^2(x)+(24772608 x^3-24772608 x^4+8257536 x^5-917504 x^6) \log ^3(x)+(23224320 x^4-30965760 x^5+15482880 x^6-3440640 x^7+286720 x^8) \log ^4(x)+(13934592 x^5-23224320 x^6+15482880 x^7-5160960 x^8+860160 x^9-57344 x^{10}) \log ^5(x)+(5225472 x^6-10450944 x^7+8709120 x^8-3870720 x^9+967680 x^{10}-129024 x^{11}+7168 x^{12}) \log ^6(x)+(1119744 x^7-2612736 x^8+2612736 x^9-1451520 x^{10}+483840 x^{11}-96768 x^{12}+10752 x^{13}-512 x^{14}) \log ^7(x)+(104977 x^8-279936 x^9+326592 x^{10}-217728 x^{11}+90720 x^{12}-24192 x^{13}+4032 x^{14}-384 x^{15}+16 x^{16}) \log ^8(x)}{x^7 \log ^8(x)}} x^8 \log ^9(x)} \, dx\)
  3.73.17 \(\int (1-2 x+e^{4+e^2+e^x+2 x-x^2} (-1-2 x-e^x x+2 x^2)) \, dx\)
  3.73.18 \(\int (-6-6 e^4+18 x) \, dx\)
  3.73.19 \(\int \frac {5+x+x^2 \log (-\frac {3 x}{4})-5 \log (-\frac {3 x}{4}) \log (\log (-\frac {3 x}{4}))}{x^2 \log (-\frac {3 x}{4})} \, dx\)
  3.73.20 \(\int \frac {-14+4 e^3+4 e^4+e^x (-20+8 e^3+8 e^4-8 x)+e^{2 x} (-6+4 e^3+4 e^4-4 x)-4 x+(2 x+2 e^{2 x} x) \log (x)}{(x+2 e^x x+e^{2 x} x) \log ^3(x)} \, dx\)
  3.73.21 \(\int \frac {1}{2} e^{-e^4} (2 x+e^{e^4} (3+11 e^{\frac {11 x^3}{6}} x^2)) \, dx\)
  3.73.22 \(\int \frac {e^{-1-\frac {28-2 x+6 x^2-x^3}{2+x^2}} (20+160 x+20 x^2+5 x^4)}{4+4 x^2+x^4} \, dx\)
  3.73.23 \(\int e^{e^{\frac {1}{2} (e^{e^4 x}+2 x)}+\frac {1}{2} (e^{e^4 x}+2 x)} (26+13 e^{4+e^4 x}) \, dx\)
  3.73.24 \(\int (2+4 x+2 \log (x)) \, dx\)
  3.73.25 \(\int \frac {128 x^8+\log (24)}{x \log (24)} \, dx\)
  3.73.26 \(\int \frac {-4 e^{2+\frac {4 (81 e^{25}-162 x)}{e^2 x}} x+(-324 e^{25+\frac {4 (81 e^{25}-162 x)}{e^2 x}}+12 e^{2+\frac {3 (81 e^{25}-162 x)}{e^2 x}} x^2) \log (x)+(-12 e^{2+\frac {2 (81 e^{25}-162 x)}{e^2 x}} x^3+e^{\frac {3 (81 e^{25}-162 x)}{e^2 x}} (972 e^{25} x-4 e^2 x^2)) \log ^2(x)+(4 e^{2+\frac {81 e^{25}-162 x}{e^2 x}} x^4+e^{\frac {2 (81 e^{25}-162 x)}{e^2 x}} (-972 e^{25} x^2+12 e^2 x^3)) \log ^3(x)+e^{\frac {81 e^{25}-162 x}{e^2 x}} (324 e^{25} x^3-12 e^2 x^4) \log ^4(x)+4 e^2 x^5 \log ^5(x)}{e^2 x^2 \log ^5(x)} \, dx\)
  3.73.27 \(\int \frac {8-2 x+((8-4 x) \log (x) \log (\frac {1}{\log (x)}) \log (\log (\frac {1}{\log (x)}))+(4-2 x) \log (3) \log (x) \log (\frac {1}{\log (x)}) \log ^2(\log (\frac {1}{\log (x)}))) \log (\frac {2+\log (3) \log (\log (\frac {1}{\log (x)}))}{\log (\log (\frac {1}{\log (x)}))})}{2 \log (x) \log (\frac {1}{\log (x)}) \log (\log (\frac {1}{\log (x)}))+\log (3) \log (x) \log (\frac {1}{\log (x)}) \log ^2(\log (\frac {1}{\log (x)}))} \, dx\)
  3.73.28 \(\int (-9 x^2+2 x \log (x)+2 x \log ^2(x)-e^x \log (1+\log (4))) \, dx\)
  3.73.29 \(\int \frac {192-72 x+2 x^2+(32-18 x+x^2) \log (\frac {9 x^6}{1638400-1843200 x+620800 x^2-57600 x^3+1600 x^4})}{32-18 x+x^2} \, dx\)
  3.73.30 \(\int \frac {e^{\frac {(2500+250 x-400 x^2+50 x^3) \log ^2(x)}{-5-x+(1875-750 x+75 x^2) \log ^2(x)}} ((-50000-15000 x+7000 x^2+600 x^3-200 x^4) \log (x)+(2500 x+8000 x^2-700 x^3-200 x^4) \log ^2(x)+(4687500 x-3750000 x^2+1125000 x^3-150000 x^4+7500 x^5) \log ^4(x))}{25 x+10 x^2+x^3+(-18750 x+3750 x^2+750 x^3-150 x^4) \log ^2(x)+(3515625 x-2812500 x^2+843750 x^3-112500 x^4+5625 x^5) \log ^4(x)} \, dx\)
  3.73.31 \(\int \frac {20+(-7+4 x-2 x^2) \log ^2(2)}{(1-2 x+x^2) \log ^2(2)} \, dx\)
  3.73.32 \(\int \frac {-6+6 x-24 x^2+e^{e^{-5 x^2+x^2 \log (x)}} (-4 x^3+e^{-5 x^2+x^2 \log (x)} (-9 x^3+9 x^4+(2 x^3-2 x^4) \log (x)))+(-6+12 x+e^{e^{-5 x^2+x^2 \log (x)}} (-x+2 x^2)) \log (\frac {6+e^{e^{-5 x^2+x^2 \log (x)}} x}{x})}{6 x^2-12 x^3+6 x^4+e^{e^{-5 x^2+x^2 \log (x)}} (x^3-2 x^4+x^5)} \, dx\)
  3.73.33 \(\int \frac {e^{e^{\frac {1+8 x^2+2 x^3+x^2 \log (-2+x)}{x}}+\frac {1+8 x^2+2 x^3+x^2 \log (-2+x)}{x}} (2-x-16 x^2+x^3+4 x^4+(-2 x^2+x^3) \log (-2+x))}{-2 x^2+x^3} \, dx\)
  3.73.34 \(\int \frac {27+3 e^{4 x}+18 x+3 x^2+e (-3 x-82 x^2)+e^{2 x} (18+6 x+e (-6 x-164 x^2))}{27 x+756 x^2+495 x^3+82 x^4+e^{4 x} (3 x+82 x^2)+e^{2 x} (18 x+498 x^2+164 x^3)} \, dx\)
  3.73.35 \(\int \frac {1}{16} e^{e^{\frac {1}{16} (80+18 x-e^5 x-x^2)}-x} (-16+e^{\frac {1}{16} (80+18 x-e^5 x-x^2)} (18-e^5-2 x)) \, dx\)
  3.73.36 \(\int e^{\frac {-2-x-x^2+\log (x)}{x}} (3+2 x-x^2-\log (x)) \, dx\)
  3.73.37 \(\int \frac {-40+40 x+6 x^2+18 x^3-x^5+(-4 x-20 x^2+x^4) \log (x)+(8-8 x-4 x^3+4 x^2 \log (x)) \log (x-\log (x))}{-4 x^2+4 x \log (x)} \, dx\)
  3.73.38 \(\int \frac {-x^2+2 x \log (25)-\log ^2(25)+(15 x^2-20 x \log (25)+5 \log ^2(25)) \log (x)+(-3 x^2+4 x \log (25)-\log ^2(25)) \log (x) \log (\log (x))}{(-2-5 x^3+10 x^2 \log (25)-5 x \log ^2(25)) \log (x)+(x^3-2 x^2 \log (25)+x \log ^2(25)) \log (x) \log (\log (x))} \, dx\)
  3.73.39 \(\int \frac {e^{-e^2} (1-x)}{x} \, dx\)
  3.73.40 \(\int \frac {e^{\frac {2}{2 x+\log (2 x)}} (-2-4 x) \log (\log (2))}{4 x^3 \log (3)+4 x^2 \log (3) \log (2 x)+x \log (3) \log ^2(2 x)} \, dx\)
  3.73.41 \(\int (50+e^{3-x} (-1+x)+292 x+381 x^2+140 x^3+15 x^4) \, dx\)
  3.73.42 \(\int \frac {e^2-3 x^2}{e^2 x^2} \, dx\)
  3.73.43 \(\int \frac {-4608-9216 x-4608 x^2+(-384-768 x-384 x^2) \log (x) \log (4 x)+(384+768 x+384 x^2) \log ^2(4 x)+(-2 x^2-x^3+(32+64 x+32 x^2) \log (x)) \log ^3(4 x)}{(x+2 x^2+x^3) \log ^3(4 x)} \, dx\)
  3.73.44 \(\int \frac {(\frac {1}{3} (-20+4 e^2))^{\frac {1}{x^2}} (\frac {\log (x)}{x})^{\frac {1}{x^2}} (1-\log (x)-2 \log (x) \log (\frac {(-20+4 e^2) \log (x)}{3 x}))}{x^3 \log (x)} \, dx\)
  3.73.45 \(\int \frac {1}{5} \sqrt [10]{3} \sqrt [10]{e^{2 x}} \, dx\)
  3.73.46 \(\int (-8+36 x-16 x^2+8 x^3-36 x^4+16 x^5+(-12+70 x-126 x^2+236 x^3-290 x^4+110 x^5) \log (x)+(18 x-144 x^2+376 x^3-400 x^4+150 x^5) \log ^2(x)) \, dx\)
  3.73.47 \(\int \frac {2-x-x^2+e^4 (-15 x^2+3 x^3)-3 e^4 x^2 \log (x)+(e^4 (-36 x-6 x^2+6 x^3)+e^4 (-6 x-3 x^2) \log (x)) \log (2+x)}{2 x+x^2} \, dx\)
  3.73.48 \(\int \frac {e^{10}-2 e^5 x+x^2+(4 e^5 x-4 x^2) \log ^3(x)+e^5 x \log ^4(x)}{e^{10} x-2 e^5 x^2+x^3} \, dx\)
  3.73.49 \(\int \frac {72+8 x+(-8-8 x) \log (1+x)}{(1+x) \log ^2(1+x)} \, dx\)
  3.73.50 \(\int \frac {18+9 e^{-4-x} x^2+32 x^3}{9 x^2} \, dx\)
  3.73.51 \(\int \frac {(-1+x) \log (x)+(-4-x+(-3-x) \log (x)+\log ^2(x)) \log (4+x-\log (x))}{(-4-x+\log (x)) \log ^2(4+x-\log (x))} \, dx\)
  3.73.52 \(\int \frac {-3 e^{10}-3 x+e^x (5 x+5 x^2)}{3 x} \, dx\)
  3.73.53 \(\int \frac {1}{3} (-4 x+12 x^2+4 x^3+(-8 x+36 x^2+16 x^3) \log (x)) \, dx\)
  3.73.54 \(\int \frac {(7 x+14 e^{2 x} x) \log (-\frac {10}{x})+(-7 e^{2 x}-7 x+(-7 e^{2 x} x-7 x^2) \log (-\frac {10}{x})) \log (e^{2 x}+x)}{3 e^{3 x} x+3 e^x x^2} \, dx\)
  3.73.55 \(\int \frac {2 e^3 (1+x)^2}{25+25 x} \, dx\)
  3.73.56 \(\int \frac {-2-25 x+e^{x^2} (-27+4 x^2)+27 \log (x)+(-e^{x^2}-x+\log (x)) \log (\frac {e^{2 x^2}+2 e^{x^2} x+x^2+(-2 e^{x^2}-2 x) \log (x)+\log ^2(x)}{x^2})}{-e^{x^2} x^2-x^3+x^2 \log (x)} \, dx\)
  3.73.57 \(\int \frac {24 x^2+24 x^2 \log (3)}{\log (3)} \, dx\)
  3.73.58 \(\int \frac {2^{\frac {1}{-2+x}} (e^{e^{e^{3+e^{6+x}}}})^{\frac {1}{-2+x}} (e^{9+e^{3+e^{6+x}}+e^{6+x}+x} (2-x)+\log (2 e^{e^{e^{3+e^{6+x}}}}))}{4-4 x+x^2} \, dx\)
  3.73.59 \(\int \frac {e^{\frac {2 (2 x^2-x^3-2 x \log (\frac {x}{2})-\log ^2(\frac {x}{2}))}{x^2}} (-4 x^2-2 x^4+e^4 (-4 x-x^2-2 x^3)+(-4 x+4 x^2+e^4 (-4+4 x)) \log (\frac {x}{2})+(4 e^4+4 x) \log ^2(\frac {x}{2}))}{x^4} \, dx\)
  3.73.60 \(\int \frac {-e^{4+2 e^3} x-10 x^2-2 x^3-20 x^4-5 x^5+e^{2+e^3} (-10-2 x-20 x^2-6 x^3)+(-10-2 x-2 e^{2+e^3} x-20 x^2-6 x^3) \log (2 x)-x \log ^2(2 x)}{x} \, dx\)
  3.73.61 \(\int \frac {256 x^3+3328 x^4+20736 x^5+82560 x^6+233984 x^7+497088 x^8+808320 x^9+996512 x^{10}+866544 x^{11}+356640 x^{12}-369072 x^{13}-1002816 x^{14}-1296032 x^{15}-1207680 x^{16}-884448 x^{17}-523680 x^{18}-252432 x^{19}-98496 x^{20}-30576 x^{21}-7312 x^{22}-1272 x^{23}-144 x^{24}-8 x^{25}+(-1792 x^3-22272 x^4-132480 x^5-502336 x^6-1352576 x^7-2718720 x^8-4151456 x^9-4734416 x^{10}-3653904 x^{11}-952528 x^{12}+2287104 x^{13}+4629792 x^{14}+5263520 x^{15}+4403552 x^{16}+2894688 x^{17}+1525072 x^{18}+644016 x^{19}+214896 x^{20}+54960 x^{21}+10184 x^{22}+1224 x^{23}+72 x^{24}) \log (5)+(5504 x^3+65408 x^4+371136 x^5+1337760 x^6+3411200 x^7+6457392 x^8+9198320 x^9+9595520 x^{10}+6366336 x^{11}+375072 x^{12}-5659552 x^{13}-9084192 x^{14}-9080256 x^{15}-6771984 x^{16}-3951792 x^{17}-1823216 x^{18}-658768 x^{19}-181272 x^{20}-35960 x^{21}-4608 x^{22}-288 x^{23}) \log ^2(5)+(-9728 x^3-110592 x^4-598176 x^5-2045488 x^6-4921888 x^7-8728272 x^8-11506656 x^9-10817504 x^{10}-5840736 x^{11}+1446496 x^{12}+7517632 x^{13}+9906576 x^{14}+8684032 x^{15}+5718832 x^{16}+2918160 x^{17}+1152200 x^{18}+343616 x^{19}+73416 x^{20}+10080 x^{21}+672 x^{22}) \log ^3(5)+(10896 x^3+118608 x^4+611136 x^5+1978064 x^6+4472960 x^7+7384608 x^8+8921456 x^9+7401248 x^{10}+2904672 x^{11}-2422544 x^{12}-5968528 x^{13}-6586272 x^{14}-5036528 x^{15}-2889992 x^{16}-1261512 x^{17}-411432 x^{18}-95368 x^{19}-14112 x^{20}-1008 x^{21}) \log ^4(5)+(-8016 x^3-83664 x^4-410400 x^5-1254016 x^6-2651952 x^7-4045104 x^8-4421536 x^9-3134704 x^{10}-636096 x^{11}+1765856 x^{12}+2948848 x^{13}+2752008 x^{14}+1818768 x^{15}+891296 x^{16}+321552 x^{17}+81592 x^{18}+13104 x^{19}+1008 x^{20}) \log ^5(5)+(3872 x^3+38816 x^4+181152 x^5+520928 x^6+1024160 x^7+1429488 x^8+1389264 x^9+796656 x^{10}-58512 x^{11}-713944 x^{12}-906808 x^{13}-717024 x^{14}-402976 x^{15}-163240 x^{16}-45864 x^{17}-8064 x^{18}-672 x^{19}) \log ^6(5)+(-1184 x^3-11424 x^4-50688 x^5-136656 x^6-247904 x^7-312624 x^8-263376 x^9-109016 x^{10}+63744 x^{11}+164344 x^{12}+166928 x^{13}+111048 x^{14}+51552 x^{15}+16280 x^{16}+3168 x^{17}+288 x^{18}) \log ^7(5)+(208 x^3+1936 x^4+8160 x^5+20528 x^6+34024 x^7+38088 x^8+26720 x^9+5624 x^{10}-12792 x^{11}-20008 x^{12}-16600 x^{13}-9096 x^{14}-3296 x^{15}-720 x^{16}-72 x^{17}) \log ^8(5)+(-16 x^3-144 x^4-576 x^5-1344 x^6-2008 x^7-1944 x^8-1056 x^9+96 x^{10}+864 x^{11}+992 x^{12}+672 x^{13}+288 x^{14}+72 x^{15}+8 x^{16}) \log ^9(5)}{-1-18 x-153 x^2-816 x^3-3060 x^4-8568 x^5-18564 x^6-31824 x^7-43758 x^8-48620 x^9-43758 x^{10}-31824 x^{11}-18564 x^{12}-8568 x^{13}-3060 x^{14}-816 x^{15}-153 x^{16}-18 x^{17}-x^{18}+(9+153 x+1224 x^2+6120 x^3+21420 x^4+55692 x^5+111384 x^6+175032 x^7+218790 x^8+218790 x^9+175032 x^{10}+111384 x^{11}+55692 x^{12}+21420 x^{13}+6120 x^{14}+1224 x^{15}+153 x^{16}+9 x^{17}) \log (5)+(-36-576 x-4320 x^2-20160 x^3-65520 x^4-157248 x^5-288288 x^6-411840 x^7-463320 x^8-411840 x^9-288288 x^{10}-157248 x^{11}-65520 x^{12}-20160 x^{13}-4320 x^{14}-576 x^{15}-36 x^{16}) \log ^2(5)+(84+1260 x+8820 x^2+38220 x^3+114660 x^4+252252 x^5+420420 x^6+540540 x^7+540540 x^8+420420 x^9+252252 x^{10}+114660 x^{11}+38220 x^{12}+8820 x^{13}+1260 x^{14}+84 x^{15}) \log ^3(5)+(-126-1764 x-11466 x^2-45864 x^3-126126 x^4-252252 x^5-378378 x^6-432432 x^7-378378 x^8-252252 x^9-126126 x^{10}-45864 x^{11}-11466 x^{12}-1764 x^{13}-126 x^{14}) \log ^4(5)+(126+1638 x+9828 x^2+36036 x^3+90090 x^4+162162 x^5+216216 x^6+216216 x^7+162162 x^8+90090 x^9+36036 x^{10}+9828 x^{11}+1638 x^{12}+126 x^{13}) \log ^5(5)+(-84-1008 x-5544 x^2-18480 x^3-41580 x^4-66528 x^5-77616 x^6-66528 x^7-41580 x^8-18480 x^9-5544 x^{10}-1008 x^{11}-84 x^{12}) \log ^6(5)+(36+396 x+1980 x^2+5940 x^3+11880 x^4+16632 x^5+16632 x^6+11880 x^7+5940 x^8+1980 x^9+396 x^{10}+36 x^{11}) \log ^7(5)+(-9-90 x-405 x^2-1080 x^3-1890 x^4-2268 x^5-1890 x^6-1080 x^7-405 x^8-90 x^9-9 x^{10}) \log ^8(5)+(1+9 x+36 x^2+84 x^3+126 x^4+126 x^5+84 x^6+36 x^7+9 x^8+x^9) \log ^9(5)} \, dx\)
  3.73.62 \(\int \frac {-69177612+5618340 x-172284 x^2+2352 x^3-12 x^4+e^x (103766418+60706884 x-5387844 x^2+169344 x^3-2334 x^4+12 x^5)}{23059204 x^2-1872780 x^3+57233 x^4-780 x^5+4 x^6+e^x (-23059204 x-44240826 x^2+3697736 x^3-114074 x^4+1560 x^5-8 x^6)+e^{2 x} (5764801+22588608 x+21191226 x^2-1824956 x^3+56841 x^4-780 x^5+4 x^6)} \, dx\)
  3.73.63 \(\int \frac {e^x (-4+2 x) \log (-2+x)+(-e^x x+e^x (-2+x) \log (-2+x)) \log (x^2)+e^x (2 x^2-x^3) \log ^2(x^2)+(e^x (-2+x) \log (-2+x) \log (x^2)+e^x (-2 x^2+x^3) \log ^2(x^2)) \log (\frac {\log (-2+x)+x^2 \log (x^2)}{x \log (x^2)})+(e^x (2-3 x+x^2) \log (-2+x) \log (x^2)+e^x (2 x^2-3 x^3+x^4) \log ^2(x^2)) \log (\frac {\log (-2+x)+x^2 \log (x^2)}{x \log (x^2)}) \log (\frac {x}{\log (\frac {\log (-2+x)+x^2 \log (x^2)}{x \log (x^2)})})}{((-2 x^2+x^3) \log (-2+x) \log (x^2)+(-2 x^4+x^5) \log ^2(x^2)) \log (\frac {\log (-2+x)+x^2 \log (x^2)}{x \log (x^2)})} \, dx\)
  3.73.64 \(\int \frac {900 e^{\frac {450}{-1+2 x}}}{1-4 x+4 x^2} \, dx\)
  3.73.65 \(\int \frac {9 x+12 x^2+18 x^3-6 x^4-6 x^2 \log (x)+(24 x^2-12 x^4-12 x^2 \log (x)+(-36 x+18 x^3+18 x \log (x)) \log (-2+x^2+\log (x))) \log (-2 x+3 \log (-2+x^2+\log (x)))}{4 x-2 x^3-2 x \log (x)+(-6+3 x^2+3 \log (x)) \log (-2+x^2+\log (x))} \, dx\)
  3.73.66 \(\int \frac {-2 \log (x)+(2+(2+x) \log (x)) \log (x+9 e^8 x)}{x \log (x) \log (x+9 e^8 x)} \, dx\)
  3.73.67 \(\int \frac {-60+108 x+(-12+240 x) \log (x)+(24 x+48 x \log (x)) \log (5 x)}{16 x^2+(8 x^2-72 x^3) \log (x)+(x^2-18 x^3+81 x^4) \log ^2(x)+(-16 x^3 \log (x)+(-4 x^3+36 x^4) \log ^2(x)) \log (5 x)+4 x^4 \log ^2(x) \log ^2(5 x)} \, dx\)
  3.73.68 \(\int \frac {1}{4} e^{2 x} (155-32 x-19 x^2-2 x^3-2 x^4+e^5 (-5-10 x+3 x^2+2 x^3)) \, dx\)
  3.73.69 \(\int \frac {e^{e^x} (-54 x+e^x (-2+27 x^2))}{16-432 x^2+2916 x^4} \, dx\)
  3.73.70 \(\int \frac {30 x^4+2 x^6+e^{\frac {-1+x^2}{x^2}} (30+2 x^2)+(2 e^{\frac {-1+x^2}{x^2}} x^4+2 x^6) \log (5 e^{\frac {-1+x^2}{x^2}}+5 x^2)}{e^{\frac {-1+x^2}{x^2}} x^3+x^5} \, dx\)
  3.73.71 \(\int \frac {1+x+16 x^4+e^x (2 x^2+x^3)}{x} \, dx\)
  3.73.72 \(\int \frac {e^x (-16+4 x)+x^{\frac {1}{x}} (x^2-x^3-x^2 \log (x))}{4 e^x x+2 x^5+x^{4+\frac {1}{x}}} \, dx\)
  3.73.73 \(\int \frac {-e^{e^{\frac {1}{x}}} x^2+e^{e^{\frac {1}{x}}} (-50 x-2 x^2+e^{\frac {1}{x}} (25+x)+(e^{\frac {1}{x}} (-25-x)+50 x+2 x^2) \log (25+x)) \log (1-\log (25+x))}{(-50-2 x+(50+2 x) \log (25+x)) \log ^2(1-\log (25+x))} \, dx\)
  3.73.74 \(\int \frac {-e^x x+(3-e^x) \log (\frac {-25-e^2}{-15+5 e^x})}{3 x^2-e^x x^2+(-3 x+e^x x) \log (\frac {-25-e^2}{-15+5 e^x})} \, dx\)
  3.73.75 \(\int \frac {e^{1-x} (4+4 x+7 x^2-9 x^3-36 x^4+(-4 x^2+4 x^3+9 x^4-9 x^5) \log (3))-36 e^{1-x} x^3 \log (4-9 x^2)+e^{1-x} (-4 x^2+9 x^4) \log ^2(4-9 x^2)}{-4 x^2+9 x^4} \, dx\)
  3.73.76 \(\int \frac {-6+4 x-24 x^2+16 x^3}{(-5+24 x-40 x^2+16 x^3+16 x^4) \log (\frac {5-14 x+12 x^2+8 x^3}{1-4 x+4 x^2})} \, dx\)
  3.73.77 \(\int \frac {e^{8-4 x} (2 e^{-8+4 x} x^4+e^4 (-15-20 x-24 x^4))}{2 x^4} \, dx\)
  3.73.78 \(\int \frac {-1250-1250 e^x}{e^{3+2 x}+625 x+e^3 x^2+e^x (625+2 e^3 x)} \, dx\)
  3.73.79 \(\int \frac {e^{-7-3 x-2 e^{3+x} x-2 x^2+(2 x+e^{3+x} x+x^2) \log (\log (\log (x)))} (2+e^{3+x}+x+(-3+e^{3+x} (-2-2 x)-4 x) \log (x) \log (\log (x))+(2+2 x+e^{3+x} (1+x)) \log (x) \log (\log (x)) \log (\log (\log (x))))}{\log (x) \log (\log (x))} \, dx\)
  3.73.80 \(\int \frac {135-72 x+90 x^2-12 x^3-x^4+4 x^6+e^{2 e^2} (15-3 x^2)+e^{2 x} (15-6 x-3 x^2+2 x^3)+e^x (-90+42 x-24 x^2+2 x^3+6 x^4-4 x^5)+e^{e^2} (-90+24 x-18 x^2-4 x^3+4 x^4+e^x (30-6 x-6 x^2+2 x^3))}{x^6} \, dx\)
  3.73.81 \(\int \frac {-25+84 x^2+64 x^4+\frac {64 x^3 (-25-16 x^2)}{25 e^4}}{50 x^2+32 x^4} \, dx\)
  3.73.82 \(\int \frac {-2592 x^2+144 x^3+576 x^5+e^4 (-18+4 x^3)+e^2 (432 x-96 x^4)}{3 e^4 x^3-72 e^2 x^4+432 x^5} \, dx\)
  3.73.83 \(\int \frac {e^{2 x^2} (4000-8000 x^2)+e^{x^2} (2050 x-4100 x^3)}{125 e^{3 x^2}+75 e^{2 x^2} x+15 e^{x^2} x^2+x^3} \, dx\)
  3.73.84 \(\int \frac {-25600000000-61440000000 x-64511808000 x^2-38707027200 x^3-14515148160 x^4-3483642816 x^5-522547200 x^6-44789760 x^7-1679616 x^8+(25600000000+61440000000 x+64512000000 x^2+38707200000 x^3+14515200000 x^4+3483648000 x^5+522547200 x^6+44789760 x^7+1679616 x^8) \log (3)}{25600000000+61439680000 x+64511616001 x^2+38707027200 x^3+14515165440 x^4+3483645408 x^5+522547200 x^6+44789760 x^7+1679616 x^8+(-51200000000-122879680000 x-129023616000 x^2-77414227200 x^3-29030365440 x^4-6967293408 x^5-1045094400 x^6-89579520 x^7-3359232 x^8) \log (3)+(25600000000+61440000000 x+64512000000 x^2+38707200000 x^3+14515200000 x^4+3483648000 x^5+522547200 x^6+44789760 x^7+1679616 x^8) \log ^2(3)} \, dx\)
  3.73.85 \(\int \frac {e^{-x} (e^x+e^{e^{-x} (e^{15} x^2+e^{15+x} x^2)} (2 e^{15+x} x^3+e^{15} (2 x^3-x^4))-e^x \log (x))}{x^2} \, dx\)
  3.73.86 \(\int \frac {e^{\frac {8+12 x+12 \log (x)}{-3 x^2+3 x \log (3)}} (4 x+12 x^2+4 \log (3)+(24 x-12 \log (3)) \log (x))}{3 x^4-6 x^3 \log (3)+3 x^2 \log ^2(3)} \, dx\)
  3.73.87 \(\int \frac {-400 x+(-2800+e^5 (1200-300 x)+700 x) \log (-4+x)+(-1600+400 x) \log (-4+x) \log (\log (-4+x))}{(-4900-5495 x-624 x^2+576 x^3+e^{10} (-900+225 x)+e^5 (4200+1830 x-720 x^2)) \log (-4+x)+(-5600+e^5 (2400-600 x)-2440 x+960 x^2) \log (-4+x) \log (\log (-4+x))+(-1600+400 x) \log (-4+x) \log ^2(\log (-4+x))} \, dx\)
  3.73.88 \(\int (150+300 x+225 x^2+e^{3 x^2} (75+900 x+450 x^2)) \, dx\)
  3.73.89 \(\int \frac {-1+\log (x)+(-1+e^{\frac {1}{4} (1+8 x)} (-1-2 x)) \log ^2(x)}{\log ^2(x)} \, dx\)
  3.73.90 \(\int e^{5+3 e^{-e^4+x} x-4 x^2} (-8 x+e^{-e^4+x} (3+3 x)) \, dx\)
  3.73.91 \(\int \frac {16 x+4 e^4 x+16 x^2+x^3+e^{2 x-2 e^2 x} (16+x)+e^{x-e^2 x} (-52 x+2 x^2+e^4 (-4 x+4 e^2 x)+e^2 (16 x-4 x^2))}{e^{2 x-2 e^2 x} x-2 e^{x-e^2 x} x^2+x^3} \, dx\)
  3.73.92 \(\int \frac {e^{2 e^{x^2}} (-2+2 x-4 e^{x^2} x^3+4 e^{x^2} x^2 \log (x))}{-x^4+3 x^3 \log (x)-3 x^2 \log ^2(x)+x \log ^3(x)} \, dx\)
  3.73.93 \(\int \frac {-27 x^5-27 x^6+45 x^7-17 x^8+2 x^9+e^2 (48+48 x-16 x^2-16 x^3)+e (36 x^3-36 x^4-4 x^5+4 x^6)}{-27 x^5+27 x^6-9 x^7+x^8} \, dx\)
  3.73.94 \(\int \frac {-16-8 \sqrt [4]{3}-16 e^2+8 x}{25+4 \sqrt {3}+16 e^4+e^2 (32-16 x)+\sqrt [4]{3} (16+16 e^2-8 x)-16 x+4 x^2} \, dx\)
  3.73.95 \(\int -\frac {3 e^{\frac {6+8 x-x \log (\frac {9}{4})}{3+4 x}} \log (\frac {9}{4})}{9+24 x+16 x^2} \, dx\)
  3.73.96 \(\int \frac {-11+e^{x^2} (1+4 x^2)}{11 x-10648 x^2-264 e^{2 x^2} x^2+8 e^{3 x^2} x^2+e^{x^2} (-x+2904 x^2)} \, dx\)
  3.73.97 \(\int \frac {64+e^2 (40-40 x)-64 x+56 x^2}{64+25 e^4+e^2 (80-140 x)-224 x+196 x^2} \, dx\)
  3.73.98 \(\int \frac {1+(-3+2 x) \log (3 e^2)}{x+(-4-3 x+x^2) \log (3 e^2)} \, dx\)
  3.73.99 \(\int \frac {2-e^9+x-x^2+(2 x-e^9 x) \log (x)}{-2 x+x^2+(-2 x+e^9 x) \log (x)} \, dx\)
  3.73.100 \(\int \frac {36+88 x^2+80 x^4+40 x^6+10 x^8+x^{10}+(80+160 x^2+120 x^4+40 x^6+5 x^8) \log (x)+(80+120 x^2+60 x^4+10 x^6) \log ^2(x)+(40+40 x^2+10 x^4) \log ^3(x)+(10+5 x^2) \log ^4(x)+\log ^5(x)}{-98 x-241 x^3-240 x^5-120 x^7-30 x^9-3 x^{11}+(-209 x-400 x^3-280 x^5-80 x^7-5 x^9+x^{11}) \log (x)+(-160 x-200 x^3-60 x^5+10 x^7+5 x^9) \log ^2(x)+(-40 x+30 x^5+10 x^7) \log ^3(x)+(10 x+25 x^3+10 x^5) \log ^4(x)+(7 x+5 x^3) \log ^5(x)+x \log ^6(x)} \, dx\)