3.9 Integrals 801 to 900

  3.9.1 \(\int \frac {-8192+e^6+6144 x-1536 x^2+128 x^3}{-8192+6144 x-1536 x^2+128 x^3} \, dx\)
  3.9.2 \(\int \frac {-20 x^5+120 x^9-160 x^{11}+60 x^{13}+e^{25} (-320+480 x^4-320 x^6+60 x^8)+e^{20} (-1280 x+480 x^3+1680 x^5-1400 x^7+300 x^9)+e^{15} (-1600 x^2+960 x^4+2400 x^6-2440 x^8+600 x^{10})+e^{10} (-880 x^3+600 x^5+1800 x^7-2120 x^9+600 x^{11})+e^5 (-220 x^4+120 x^6+720 x^8-920 x^{10}+300 x^{12})}{e^{25} x^3+5 e^{20} x^4+10 e^{15} x^5+10 e^{10} x^6+5 e^5 x^7+x^8} \, dx\)
  3.9.3 \(\int \frac {81-12920 x+16038 x^2}{81 x} \, dx\)
  3.9.4 \(\int \frac {25+e^2 (1-5 x)-125 x+e (-10+50 x)+(-50 x+20 e x-2 e^2 x) \log (4 x)}{9 x^3-6 x^2 \log (x)+x \log ^2(x)+(12 x^3-4 x^2 \log (x)) \log (4 x)+4 x^3 \log ^2(4 x)} \, dx\)
  3.9.5 \(\int e^{-2 x+e^{-2 x} (25 x^2+e^x (-10 x^2-10 x^3-10 e^4 x^3)+e^{2 x} (x^2+2 x^3+x^4+e^8 x^4+e^4 (2 x^3+2 x^4)))} (50 x-50 x^2+e^{2 x} (2 x+6 x^2+4 x^3+4 e^8 x^3+e^4 (6 x^2+8 x^3))+e^x (-20 x-20 x^2+10 x^3+e^4 (-30 x^2+10 x^3))) \, dx\)
  3.9.6 \(\int \frac {-1+2 e^{2 x}-e^{4 x}+e^{\frac {-1-x+x^2-\log (3)-\log (4)+e^{2 x} (4+x-x^2+\log (4))}{-1+e^{2 x}}} (x-2 x^2+e^{4 x} (x-2 x^2)+e^{2 x} (-8 x+4 x^2+2 x \log (3)))}{x-2 e^{2 x} x+e^{4 x} x} \, dx\)
  3.9.7 \(\int \frac {4 x^3+e^x (2 x^3-4 x^4)+e^{2 e^{e^4}+2 x^2} (4-8 x^2+e^x (2+2 x-4 x^2))}{8 x^3+12 e^x x^3+6 e^{2 x} x^3+e^{3 x} x^3} \, dx\)
  3.9.8 \(\int \frac {1+x \log (4)-8 x \log (4) \log (\frac {1+x \log (4)}{\log (4)})+(-4-4 x \log (4)) \log ^2(\frac {1+x \log (4)}{\log (4)})}{1+x \log (4)} \, dx\)
  3.9.9 \(\int \frac {-156-65 x+e^{2 x/3} (-36+12 x)+e^{x/3} (-150-6 x+10 x^2)+(25+e^{x/3} (12-2 x)+5 x) \log (x)-\log ^2(x)}{2 x^3} \, dx\)
  3.9.10 \(\int \frac {e^2 (16 x^6+4 x^7)+e^2 (28 x^6+6 x^7) \log (x)+e^2 (-32 x^6-12 x^7) \log ^2(x)+e^2 (-104 x^6-32 x^7) \log ^3(x)+e^2 (-80 x^6-24 x^7) \log ^4(x)+(-4+e^2 (-20 x^6-6 x^7)) \log ^5(x)}{e^2 x^2 \log ^5(x)} \, dx\)
  3.9.11 \(\int e^{-32 x} (-64-16 \log (\frac {16}{9})) \, dx\)
  3.9.12 \(\int \frac {16-24 x^3+(4-6 x^3) \log (\frac {3}{4} e^{-x^3} x^2)}{x} \, dx\)
  3.9.13 \(\int \frac {e^{\frac {2 (-x^2+(x+e x) \log (x))}{1+e}+e^{\frac {2 (-x^2+(x+e x) \log (x))}{1+e}} x \log ^2(\log (2))} (-1+e (-1-2 x)-2 x+4 x^2+(-2 x-2 e x) \log (x)) \log ^2(\log (2))}{1+e} \, dx\)
  3.9.14 \(\int \frac {-192+368 x-116 x^2-28 x^3+21 x^4-3 x^5+(336-160 x+28 x^2-4 x^3) \log (-3+x)}{-48+64 x-28 x^2+4 x^3} \, dx\)
  3.9.15 \(\int \frac {-9 e^{-15+3 x} x^2+e^{\frac {-e+x+x^2}{x}} (e+x^2)}{3 x^2} \, dx\)
  3.9.16 \(\int \frac {(-780+320 x-32 x^2) \log (\frac {6400-2560 x+256 x^2}{e^3 (114075 x^2-46800 x^3+4800 x^4)})}{195 x-79 x^2+8 x^3} \, dx\)
  3.9.17 \(\int \frac {-300+25 e^3-200 x}{144 x^2+e^6 x^2+96 x^3+16 x^4+e^3 (-24 x^2-8 x^3)} \, dx\)
  3.9.18 \(\int \frac {1}{2} (2+4 x+3 x^2+e^{-5 x+x^2} (-10+4 x)) \, dx\)
  3.9.19 \(\int \frac {10 x-3 e^{2 x} x-6 e^x x^3-3 x^5+(e^{3 x} (6+12 x)+e^{2 x} (36 x^2+12 x^3)+e^x (-20+30 x^4)) \log (10 x-3 e^{2 x} x-6 e^x x^3-3 x^5)+(3 e^{3 x} x+6 e^{2 x} x^3+e^x (-10 x+3 x^5)) \log ^2(10 x-3 e^{2 x} x-6 e^x x^3-3 x^5)}{-10 x+3 e^{2 x} x+6 e^x x^3+3 x^5} \, dx\)
  3.9.20 \(\int \frac {347-273 x-59 x^2+x^3+(-63+64 x-x^2) \log (4-4 x)+(80-64 x-16 x^2+(-16+16 x) \log (4-4 x)) \log (-5-x+\log (4-4 x))}{320-261 x-60 x^2+x^3+(-64+65 x-x^2) \log (4-4 x)+(80-64 x-16 x^2+(-16+16 x) \log (4-4 x)) \log (-5-x+\log (4-4 x))} \, dx\)
  3.9.21 \(\int \frac {384-44 x+5 x^2+(96-15 x) \log (4)+(384-40 x+5 x^2+(96-10 x) \log (4)) \log (x)+(80+20 \log (4)) \log ^2(x)}{(256-128 x+16 x^2+(128-32 x) \log (4)+16 \log ^2(4)) \log (5)+(256-128 x+16 x^2+(128-32 x) \log (4)+16 \log ^2(4)) \log (5) \log (x)+(64-32 x+4 x^2+(32-8 x) \log (4)+4 \log ^2(4)) \log (5) \log ^2(x)} \, dx\)
  3.9.22 \(\int e^{-e^{2 x}-x^2} (1+2 x+e^{e^{2 x}+x^2} x-2 x^3+e^5 (1-2 x^2)+e^{2 x} (-2 e^5 x-2 x^2)+(1-2 e^{2 x} x-2 x^2) \log (4 x)) \, dx\)
  3.9.23 \(\int \frac {1}{25} e^{16 x^6-32 x^7+16 x^8+e^{10} (x^2-2 x^3+x^4)+e^{15/2} (-8 x^3+16 x^4-8 x^5)+e^5 (24 x^4-48 x^5+24 x^6)+e^{5/2} (-32 x^5+64 x^6-32 x^7)} (1+96 x^6-224 x^7+128 x^8+e^{10} (2 x^2-6 x^3+4 x^4)+e^{15/2} (-24 x^3+64 x^4-40 x^5)+e^5 (96 x^4-240 x^5+144 x^6)+e^{5/2} (-160 x^5+384 x^6-224 x^7)) \, dx\)
  3.9.24 \(\int \frac {40+5 x}{24 x} \, dx\)
  3.9.25 \(\int \frac {-432-144 x-864 x^2}{x^3+6 x^4+9 x^5+(6 x^2+18 x^3) \log (x)+9 x \log ^2(x)} \, dx\)
  3.9.26 \(\int (e^{\frac {1}{2} (3+2 x)} (-3-3 x)+6 x) \, dx\)
  3.9.27 \(\int \frac {e^{15} (250-1000 x)+e^{20} (-x+4 x^2)+(e^{10} (127500-10000 x)-500 e^{15} x) \log (x^2)+(1875000 e^5-2500 e^{10} x) \log ^2(x^2)+6250000 \log ^3(x^2)}{32 e^{20} x} \, dx\)
  3.9.28 \(\int \frac {1}{16} (27 x^2+360 x^3+3045 x^4+14976 x^5+51520 x^6+114432 x^7+160992 x^8+143360 x^9+78848 x^{10}+24576 x^{11}+3328 x^{12}+e^{16 x} (5 x^4+16 x^5)+e^{14 x} (-80 x^4-320 x^5-224 x^6)+e^{12 x} (560 x^4+2688 x^5+3472 x^6+1344 x^7)+e^{10 x} (-2240 x^4-12544 x^5-22848 x^6-17024 x^7-4480 x^8)+e^{8 x} (24 x^3+5638 x^4+35824 x^5+82880 x^6+89600 x^7+45920 x^8+8960 x^9)+e^{6 x} (-192 x^3-9408 x^4-64608 x^5-179104 x^6-250880 x^7-188160 x^8-71680 x^9-10752 x^{10})+e^{4 x} (576 x^3+10736 x^4+72928 x^5+231024 x^6+394048 x^7+385280 x^8+215040 x^9+62720 x^{10}+7168 x^{11})+e^{2 x} (-768 x^3-8064 x^4-48384 x^5-165632 x^6-329216 x^7-394112 x^8-286720 x^9-121856 x^{10}-26624 x^{11}-2048 x^{12})) \, dx\)
  3.9.29 \(\int \frac {-906+1328 x-438 x^2+16 x^3+(144-150 x+6 x^2) \log (-24+x)+(-906+422 x-16 x^2+(144-6 x) \log (-24+x)) \log (-11+8 x+3 \log (-24+x))}{264-203 x+8 x^2+(-72+3 x) \log (-24+x)} \, dx\)
  3.9.30 \(\int \frac {6 x^2+2 x^3+e^{\frac {e^{9/4}}{x^3}} (3 e^{9/4}+x^3)}{3 x^3+2 x^4+e^{\frac {e^{9/4}}{x^3}} x^4} \, dx\)
  3.9.31 \(\int \frac {-1280+960 x-240 x^2+20 x^3-20 e^{3 e^3} x^3+e^{2 e^3} (-240 x^2+60 x^3)+(10 x+60 x^2+75 x^3-10 x^4) \log ^2(4)+e^{e^3} (-960 x+480 x^2-60 x^3+(5 x^3+10 x^4) \log ^2(4))}{256-192 x+48 x^2-4 x^3+4 e^{3 e^3} x^3+e^{2 e^3} (48 x^2-12 x^3)+e^{e^3} (192 x-96 x^2+12 x^3)} \, dx\)
  3.9.32 \(\int \frac {-27-18 x-3 x^2+e^3 (48 x+24 x^2)}{9 x^4+6 x^5+x^6} \, dx\)
  3.9.33 \(\int \frac {(e^x \log (\log (e^{x+x^2}-e^x x)))^{2/9} (-4-4 x+e^{x^2} (4+8 x)+(4 e^{x^2}-4 x) \log (e^{x+x^2}-e^x x) \log (\log (e^{x+x^2}-e^x x)))}{(9 e^{x^2}-9 x) \log (e^{x+x^2}-e^x x) \log (\log (e^{x+x^2}-e^x x))} \, dx\)
  3.9.34 \(\int \frac {6 x^2+2 x^3+(48 x+4 x^2-4 x^3) \log (-4+x) \log (\log (-4+x))+(-2 x^2+(-40 x+2 x^2+2 x^3) \log (-4+x) \log (\log (-4+x))) \log (\frac {4}{x \log (\log (-4+x))})+(8 x-2 x^2) \log (-4+x) \log (\log (-4+x)) \log ^2(\frac {4}{x \log (\log (-4+x))})}{(-324-351 x-180 x^2-24 x^3+8 x^4+4 x^5) \log (-4+x) \log (\log (-4+x))+(432+324 x+84 x^2-16 x^3-8 x^4) \log (-4+x) \log (\log (-4+x)) \log (\frac {4}{x \log (\log (-4+x))})+(-216-90 x+4 x^2+8 x^3) \log (-4+x) \log (\log (-4+x)) \log ^2(\frac {4}{x \log (\log (-4+x))})+(48+4 x-4 x^2) \log (-4+x) \log (\log (-4+x)) \log ^3(\frac {4}{x \log (\log (-4+x))})+(-4+x) \log (-4+x) \log (\log (-4+x)) \log ^4(\frac {4}{x \log (\log (-4+x))})} \, dx\)
  3.9.35 \(\int \frac {4^{\frac {-16-8 x-x^2}{-2-2 x+2 \log (\log (x^2))}} ((32+48 x+18 x^2+2 x^3) \log (4)+(2+8 x+10 x^2+4 x^3+(-8 x-6 x^2+3 x^3+x^4) \log (4)) \log (x^2)+(-4-12 x-8 x^2+(-8 x-10 x^2-2 x^3) \log (4)) \log (x^2) \log (\log (x^2))+(2+4 x) \log (x^2) \log ^2(\log (x^2)))}{(2+4 x+2 x^2) \log (x^2)+(-4-4 x) \log (x^2) \log (\log (x^2))+2 \log (x^2) \log ^2(\log (x^2))} \, dx\)
  3.9.36 \(\int \frac {-25-3 e^{3 e^x+x}}{e^{3 e^x}+25 x} \, dx\)
  3.9.37 \(\int \frac {84+198 x+152 x^2+60 x^3+10 x^4+(72+132 x+96 x^2+32 x^3+4 x^4) \log (\frac {12+12 x+4 x^2}{12+16 x+7 x^2+x^3})}{18-3 x-24 x^2-7 x^3+9 x^4+6 x^5+x^6} \, dx\)
  3.9.38 \(\int \frac {e^{\frac {-16+32 x-2 x^4+(32-64 x) \log (x^2)+(-24+48 x) \log ^2(x^2)+(8-16 x) \log ^3(x^2)+(-1+2 x) \log ^4(x^2)}{32-64 \log (x^2)+48 \log ^2(x^2)-16 \log ^3(x^2)+2 \log ^4(x^2)}} (-32+16 x^3+(80-4 x^3) \log (x^2)-80 \log ^2(x^2)+40 \log ^3(x^2)-10 \log ^4(x^2)+\log ^5(x^2))}{-32+80 \log (x^2)-80 \log ^2(x^2)+40 \log ^3(x^2)-10 \log ^4(x^2)+\log ^5(x^2)} \, dx\)
  3.9.39 \(\int \frac {290 x+58 x^2-58 x \log (5)+58 x^2 \log (x)+e^{e^x} (290+58 x-58 \log (5)+(290+116 x-58 \log (5)+e^x (-290 x-58 x^2+58 x \log (5))) \log (x))}{(25 x^2+10 x^3+x^4+(-10 x^2-2 x^3) \log (5)+x^2 \log ^2(5)) \log ^2(x)} \, dx\)
  3.9.40 \(\int \frac {e^{1-x} (-64 x-32 x^2+4 x^3+2 x^4+(64+32 x-4 x^2-2 x^3) \log (2+x)+((48 x+21 x^2-13 x^3-7 x^4-x^5) \log (\frac {x^2}{256+224 x+81 x^2+14 x^3+x^4})+(-32+2 x+21 x^2+8 x^3+x^4) \log (2+x) \log (\frac {x^2}{256+224 x+81 x^2+14 x^3+x^4})) \log (\log (\frac {x^2}{256+224 x+81 x^2+14 x^3+x^4})))}{(32+30 x+9 x^2+x^3) \log (\frac {x^2}{256+224 x+81 x^2+14 x^3+x^4}) \log ^2(\log (\frac {x^2}{256+224 x+81 x^2+14 x^3+x^4}))} \, dx\)
  3.9.41 \(\int \frac {4-17 x+3 e x+e^x (-9 x-3 x^2)+(-6 x+e x+e^x (-3 x-x^2)) \log (x)+(-3 x-x \log (x)) \log (3+\log (x))}{12 x+3 e^2 x+3 e^{2 x} x-12 x^2+3 x^3+e (-12 x+6 x^2)+e^x (-12 x+6 e x+6 x^2)+(4 x+e^2 x+e^{2 x} x-4 x^2+x^3+e (-4 x+2 x^2)+e^x (-4 x+2 e x+2 x^2)) \log (x)+(12 x-6 e x-6 e^x x-6 x^2+(4 x-2 e x-2 e^x x-2 x^2) \log (x)) \log (3+\log (x))+(3 x+x \log (x)) \log ^2(3+\log (x))} \, dx\)
  3.9.42 \(\int \frac {-175-120 x-1254 x^3-1001 x^4-300 x^5-40 x^6-2 x^7+(-60-40 x+8 x^2-1000 x^3-800 x^4-200 x^5-16 x^6) \log (x)+(-5+x^2-300 x^3-200 x^4-36 x^5) \log ^2(x)+(-40 x^3-16 x^4) \log ^3(x)-2 x^3 \log ^4(x)}{625 x^2+500 x^3+150 x^4+20 x^5+x^6+(500 x^2+400 x^3+100 x^4+8 x^5) \log (x)+(150 x^2+100 x^3+18 x^4) \log ^2(x)+(20 x^2+8 x^3) \log ^3(x)+x^2 \log ^4(x)} \, dx\)
  3.9.43 \(\int \frac {e^{-3-e^x} (-2+4 \log (2)-4 e^x x \log (2)+(-1+e^x x) \log (x^2))}{\log (2)} \, dx\)
  3.9.44 \(\int \frac {6 e^5+400 x^2+e^x (-x^2+x^3)-6 e^5 \log (x)}{6 e^5 x^2} \, dx\)
  3.9.45 \(\int \frac {e^{-e^{\frac {1}{3} (5 x+x^2)}} (6 x^2+e^{e^{\frac {1}{3} (5 x+x^2)}} (3+3 x+3 e^x x)+e^{\frac {1}{3} (5 x+x^2)} (-5 x^3-2 x^4))}{3 x} \, dx\)
  3.9.46 \(\int \frac {900 x^3+1250 x^4-125 x^5+25 x^6+e^2 (450 x^2+850 x^3-75 x^4+25 x^5)+(40500 x+51750 x^2-11650 x^3+1900 x^4-200 x^5+e^2 (20250+36000 x-7400 x^2+1650 x^3-200 x^4)) \log (x^2+x^3+e^2 (x+x^2))+(10125 x+5625 x^2-4125 x^3+375 x^4+e^2 (10125+5625 x-4125 x^2+375 x^3)) \log ^2(x^2+x^3+e^2 (x+x^2))}{x+x^2+e^2 (1+x)} \, dx\)
  3.9.47 \(\int \frac {45-8 x+10 x^2-4 x^3-3 x^4+e^{3+x} (9-x+2 x^2+x^3-x^4)}{-15 x+2 x^2-14 x^3+2 x^4+x^5+e^{3+x} (-3 x+x^2-3 x^3+x^4)} \, dx\)
  3.9.48 \(\int \frac {e^{e^{-4+4 x^2}} (-8+8 x-2 x^2+e^{-4+4 x^2} (64 x^2-64 x^3+16 x^4))+x^2 \log (3)}{8 x^2-8 x^3+2 x^4} \, dx\)
  3.9.49 \(\int \frac {2-4 x+2 x^2+e^{\frac {1}{2} (-12+e^2 (-5+x)+4 x^2)} (-2+e^2 (-1+x)-8 x+8 x^2)}{2-4 x+2 x^2} \, dx\)
  3.9.50 \(\int \frac {-3+2401 e^8}{e^4 (2401 e^8+4802 e^4 x+2401 x^2)} \, dx\)
  3.9.51 \(\int \frac {5+(-e^3+e^{3-x} (2 x-x^2)) \log (x) \log (3 \log (x))+5 \log (x) \log (3 \log (x)) \log (\log (3 \log (x)))}{\log (x) \log (3 \log (x))} \, dx\)
  3.9.52 \(\int \frac {e^{5/4} (-360+72 x) \log ^3(x)+e^{5/4} (-90+36 x) \log ^4(x)+(180-72 x) \log ^5(x)}{-e^{25/4}+10 e^5 \log (x)-40 e^{15/4} \log ^2(x)+80 e^{5/2} \log ^3(x)-80 e^{5/4} \log ^4(x)+32 \log ^5(x)} \, dx\)
  3.9.53 \(\int \frac {2-2 x-5 x^2+2 x^3+2 x^4+(x^2-x^3) \log (-4 x+4 x^2)}{-x^2+x^3} \, dx\)
  3.9.54 \(\int \frac {5+x+(5 x^2+x^3) \log (4)+(20 x+8 x^2) \log (4) \log ^3(\frac {1}{2} (5 x+x^2))}{(5 x^2+x^3) \log (4)} \, dx\)
  3.9.55 \(\int \frac {12 x+3 e^{e^{\frac {1}{3} (12-7 x)}} x \log (x)+(12 e^{e^{\frac {1}{3} (12-7 x)}}+112 e^{\frac {1}{3} (12-7 x)} x) \log (e^{-2 e^{\frac {1}{3} (12-7 x)}} (320+160 e^{e^{\frac {1}{3} (12-7 x)}} \log (x)+20 e^{2 e^{\frac {1}{3} (12-7 x)}} \log ^2(x)))}{12 x+3 e^{e^{\frac {1}{3} (12-7 x)}} x \log (x)} \, dx\)
  3.9.56 \(\int \frac {e^{\frac {-x^2+x \log (x^2)+\log (\frac {16-\log (3+x)}{e})}{x}} (95 x-16 x^2-16 x^3+(-6 x+x^2+x^3) \log (3+x)+(-48-16 x+(3+x) \log (3+x)) \log (\frac {16-\log (3+x)}{e}))}{-48 x^2-16 x^3+(3 x^2+x^3) \log (3+x)} \, dx\)
  3.9.57 \(\int \frac {e^{-x} (1+(1-x) \log (5)-\log (-e^{12+4 e^3+x}))}{\log (5)} \, dx\)
  3.9.58 \(\int \frac {-1296+1296 \log (x)}{11664 x^2+216 x \log (x)+\log ^2(x)} \, dx\)
  3.9.59 \(\int \frac {e^{-e^{\frac {1}{16+e^{2 x}+e^x (-8-2 x)+8 x+x^2}} \log (x)+(2-x) \log (x)} (-128+e^{3 x} (2-x)-32 x+24 x^2+10 x^3+x^4+e^{2 x} (-24+6 x+3 x^2)+e^x (96-18 x^2-3 x^3)+(64 x-e^{3 x} x+48 x^2+12 x^3+x^4+e^{2 x} (12 x+3 x^2)+e^x (-48 x-24 x^2-3 x^3)) \log (x)+e^{\frac {1}{16+e^{2 x}+e^x (-8-2 x)+8 x+x^2}} (64-e^{3 x}+48 x+12 x^2+x^3+e^{2 x} (12+3 x)+e^x (-48-24 x-3 x^2)+(-2 x+2 e^x x) \log (x)))}{-64 x+e^{3 x} x-48 x^2-12 x^3-x^4+e^{2 x} (-12 x-3 x^2)+e^x (48 x+24 x^2+3 x^3)} \, dx\)
  3.9.60 \(\int \frac {2 x+e^4 (-8+24 x-18 x^2) \log (\frac {1}{2 x})+e^4 (-12 x+18 x^2) \log ^2(\frac {1}{2 x})}{x} \, dx\)
  3.9.61 \(\int \frac {16-8 x+65 x^2-8 x^3-x \log (3)}{16 x-8 x^2+x^3} \, dx\)
  3.9.62 \(\int \frac {1}{16} (1-16 e^{4+x}+\log (-\frac {x}{20})) \, dx\)
  3.9.63 \(\int \frac {24 x^2-8 x^3+64 e^4 x \log (-3+x)+e^4 (96+16 x-16 x^2) \log ^2(-3+x)+e^8 (24-8 x) \log ^4(-3+x)}{-192 x^2-32 x^3+20 x^4+4 x^5+(48 x^2-4 x^3-4 x^4) \log (5)+(-3 x^2+x^3) \log ^2(5)+(e^4 (-96 x^2+8 x^3+8 x^4)+e^4 (48 x+8 x^2-8 x^3) \log (5)+e^4 (-6 x+2 x^2) \log ^2(5)) \log ^2(-3+x)+(e^8 (-12 x^2+4 x^3)+e^8 (12 x-4 x^2) \log (5)+e^8 (-3+x) \log ^2(5)) \log ^4(-3+x)} \, dx\)
  3.9.64 \(\int \frac {-6-2 x}{-36-16 x+x^2+(2+x) \log (-2-x)} \, dx\)
  3.9.65 \(\int \frac {-2 x^2+e^{4+x} (-24 x+12 x^2+e (-12+12 x))}{e^2 x^2+2 e x^3+x^4} \, dx\)
  3.9.66 \(\int \frac {5+x-135 x^2-12 x^3+3 x^4+e^{2 x} (5+x)^2 (36+6 x+45 x^2+9 x^3)}{-45-4 x+x^2+e^{2 x} (5+x)^2 (15+3 x)} \, dx\)
  3.9.67 \(\int \frac {1}{9} ((-168 x+16 x^3) \log ^2(2)+(-5376+1536 x^2) \log ^2(2) \log (5)+(65024 x-6144 x^3) \log ^2(2) \log ^2(5)+(-359424 x^2+10240 x^4) \log ^2(2) \log ^3(5)+(1157120 x^3-6144 x^5) \log ^2(2) \log ^4(5)-2293760 x^4 \log ^2(2) \log ^5(5)+2752512 x^5 \log ^2(2) \log ^6(5)-1835008 x^6 \log ^2(2) \log ^7(5)+524288 x^7 \log ^2(2) \log ^8(5)) \, dx\)
  3.9.68 \(\int \frac {720 x-3444 x^2+1748 x^3+152 x^4-76 x^5+4 x^6+(1440-2480 x+1200 x^2-160 x^3) \log (-2+3 x-x^2)}{7200-4320 x-5382 x^2+1809 x^3+873 x^4-189 x^5+9 x^6} \, dx\)
  3.9.69 \(\int (-1+486 x^5+e^{7 x} (2430 x^4+4374 x^5+1134 x^6)+e^{14 x} (2916 x^3+12636 x^4+7290 x^5+1134 x^6)) \, dx\)
  3.9.70 \(\int \frac {e^{x+x^2-2 x \log (x)+\log ^2(x)} (x-2 x^2+(-2+2 x) \log (x))}{x} \, dx\)
  3.9.71 \(\int \frac {x^2+(4-4 x) \log (2) \log (x)-2 \log (2) \log ^2(x)}{x^2} \, dx\)
  3.9.72 \(\int \frac {36 x^4-36 x^5+(12 x^2-48 x^3+126 x^4) \log (\frac {e^x}{x})+(36 x^2-144 x^3) \log ^2(\frac {e^x}{x})+(2-24 x+54 x^2) \log ^3(\frac {e^x}{x})}{81 \log ^3(\frac {e^x}{x})} \, dx\)
  3.9.73 \(\int \frac {28+e^4 (-27+x)-x}{e^4 (-27+x)} \, dx\)
  3.9.74 \(\int \frac {2 x^3+3 x^8 \log (5)+(8 x-36 x^6 \log (5)) \log (16)+144 x^4 \log (5) \log ^2(16)-192 x^2 \log (5) \log ^3(16)}{-x^6 \log (5)+12 x^4 \log (5) \log (16)-48 x^2 \log (5) \log ^2(16)+64 \log (5) \log ^3(16)} \, dx\)
  3.9.75 \(\int -\frac {5 e^{e^4}}{(2+5 x) (8+20 x)} \, dx\)
  3.9.76 \(\int \frac {490 x^2+35630 x^3+629520 x^4-665640 x^5+e^{2 x} (-56-4072 x-262148 x^2+266256 x^3)+(140 x^3+5020 x^4-5160 x^5+e^{2 x} (-16 x-2048 x^2+2064 x^3)) \log (1-x)+(10 x^4-10 x^5+e^{2 x} (-4 x^2+4 x^3)) \log ^2(1-x)}{e^{2 x} (-49 x^2-3563 x^3-62952 x^4+66564 x^5)+e^{2 x} (-14 x^3-502 x^4+516 x^5) \log (1-x)+e^{2 x} (-x^4+x^5) \log ^2(1-x)} \, dx\)
  3.9.77 \(\int \frac {-14+12 x-6 x^2+x^3+(-8+12 x-6 x^2+x^3) \log (x)+e^{-3 e^x+3 x} (1+\log (x))+e^{-2 e^x+2 x} (-6+3 x+(-6+3 x) \log (x))+e^{-e^x+x} (6+6 e^x-12 x+3 x^2+(12-12 x+3 x^2) \log (x))}{-8+e^{-3 e^x+3 x}+12 x-6 x^2+x^3+e^{-2 e^x+2 x} (-6+3 x)+e^{-e^x+x} (12-12 x+3 x^2)} \, dx\)
  3.9.78 \(\int e^{-x+e^{-x} (-x-x^2+e^x (1+2 x))} (-1+2 e^x-x+x^2) \, dx\)
  3.9.79 \(\int \frac {e+20 x+e^x (100+100 x)}{e} \, dx\)
  3.9.80 \(\int \frac {1}{4} (-1-20 e^{-4+x}+4 e^x) \, dx\)
  3.9.81 \(\int \frac {e^{10} (8+6 x^2)+e^5 (-8 x^3-6 x^5)+(e^{10} (-4+6 x)+e^5 (4 x^3-6 x^4)) \log (\frac {4 x^2}{3})+(-2 e^{10} x+e^5 (16 x^2+14 x^4)+(-2 e^{10}+e^5 (-8 x^2+14 x^3)) \log (\frac {4 x^2}{3})) \log (\frac {2 x}{x+\log (\frac {4 x^2}{3})})+(e^5 (-8 x-10 x^3)+e^5 (4 x-10 x^2) \log (\frac {4 x^2}{3})) \log ^2(\frac {2 x}{x+\log (\frac {4 x^2}{3})})+(2 e^5 x^2+2 e^5 x \log (\frac {4 x^2}{3})) \log ^3(\frac {2 x}{x+\log (\frac {4 x^2}{3})})}{-x^9-x^8 \log (\frac {4 x^2}{3})+(5 x^8+5 x^7 \log (\frac {4 x^2}{3})) \log (\frac {2 x}{x+\log (\frac {4 x^2}{3})})+(-10 x^7-10 x^6 \log (\frac {4 x^2}{3})) \log ^2(\frac {2 x}{x+\log (\frac {4 x^2}{3})})+(10 x^6+10 x^5 \log (\frac {4 x^2}{3})) \log ^3(\frac {2 x}{x+\log (\frac {4 x^2}{3})})+(-5 x^5-5 x^4 \log (\frac {4 x^2}{3})) \log ^4(\frac {2 x}{x+\log (\frac {4 x^2}{3})})+(x^4+x^3 \log (\frac {4 x^2}{3})) \log ^5(\frac {2 x}{x+\log (\frac {4 x^2}{3})})} \, dx\)
  3.9.82 \(\int \frac {150 x^2-500 x^4+100 e^x x^4+30 \log (x)+(-15-100 x^2+20 e^x x^2) \log ^2(x)+(-5+e^x) \log ^4(x)}{-150 x^3+500 x^4+100 e^x x^4-500 x^5+(-15 x+100 x^2+20 e^x x^2-100 x^3) \log ^2(x)+(5+e^x-5 x) \log ^4(x)} \, dx\)
  3.9.83 \(\int \frac {10 \log (\frac {x^4}{18})-5 \log (x^2) \log (\log (x^2))+(20 \log (x^2)+5 \log (x^2) \log (\frac {x^4}{18})) \log (\log (x^2)) \log (\log (\log (x^2)))}{\log (x^2) \log (\log (x^2))} \, dx\)
  3.9.84 \(\int \frac {684-102 x+45 x^2+6 x^3+e^2 (120-24 x+12 x^2)}{-114 x^2+17 x^3+x^4+e^2 (-20 x^2+4 x^3)} \, dx\)
  3.9.85 \(\int \frac {-18+e^x (18-18 x)-18 x^2-18 \log (x)}{20+5 e^{2 x}-60 x+25 x^2+30 x^3+5 x^4+e^x (-20+30 x+10 x^2)+(20-10 e^x-30 x-10 x^2) \log (x)+5 \log ^2(x)} \, dx\)
  3.9.86 \(\int \frac {-64-768 x^2+256 x^3+x^5+20 x^7-5 x^8+160 x^9-80 x^{10}+650 x^{11}-480 x^{12}+1400 x^{13}-1290 x^{14}+1504 x^{15}-1360 x^{16}+645 x^{17}-160 x^{18}+20 x^{19}-x^{20}+e^8 (160 x^9-80 x^{10}+1930 x^{11}-1440 x^{12}+8040 x^{13}-7710 x^{14}+13120 x^{15}-13280 x^{16}+6430 x^{17}-1600 x^{18}+200 x^{19}-10 x^{20})+e^{16} (1280 x^{13}-1280 x^{14}+5600 x^{15}-6480 x^{16}+3205 x^{17}-800 x^{18}+100 x^{19}-5 x^{20})+e^{20} (-1024 x^{15}+1280 x^{16}-640 x^{17}+160 x^{18}-20 x^{19}+x^{20})+e^4 (768 x^2-256 x^3-20 x^7+5 x^8-320 x^9+160 x^{10}-1940 x^{11}+1440 x^{12}-5480 x^{13}+5150 x^{14}-7040 x^{15}+6720 x^{16}-3220 x^{17}+800 x^{18}-100 x^{19}+5 x^{20})+e^{12} (-640 x^{11}+480 x^{12}-5240 x^{13}+5130 x^{14}-12160 x^{15}+13120 x^{16}-6420 x^{17}+1600 x^{18}-200 x^{19}+10 x^{20})}{x^5+20 x^7-5 x^8+160 x^9-80 x^{10}+650 x^{11}-480 x^{12}+1400 x^{13}-1290 x^{14}+1504 x^{15}-1360 x^{16}+645 x^{17}-160 x^{18}+20 x^{19}-x^{20}+e^8 (160 x^9-80 x^{10}+1930 x^{11}-1440 x^{12}+8040 x^{13}-7710 x^{14}+13120 x^{15}-13280 x^{16}+6430 x^{17}-1600 x^{18}+200 x^{19}-10 x^{20})+e^{16} (1280 x^{13}-1280 x^{14}+5600 x^{15}-6480 x^{16}+3205 x^{17}-800 x^{18}+100 x^{19}-5 x^{20})+e^{20} (-1024 x^{15}+1280 x^{16}-640 x^{17}+160 x^{18}-20 x^{19}+x^{20})+e^4 (-20 x^7+5 x^8-320 x^9+160 x^{10}-1940 x^{11}+1440 x^{12}-5480 x^{13}+5150 x^{14}-7040 x^{15}+6720 x^{16}-3220 x^{17}+800 x^{18}-100 x^{19}+5 x^{20})+e^{12} (-640 x^{11}+480 x^{12}-5240 x^{13}+5130 x^{14}-12160 x^{15}+13120 x^{16}-6420 x^{17}+1600 x^{18}-200 x^{19}+10 x^{20})} \, dx\)
  3.9.87 \(\int \frac {e^{4+2 x+x^2} (-3-6 x-6 x^2)+e^{2 x} (6+24 x+12 x^2)}{(4+e^{4+2 x+x^2} x+e^{2 x} (-2 x-2 x^2)) \log ^2(4+e^{4+2 x+x^2} x+e^{2 x} (-2 x-2 x^2))} \, dx\)
  3.9.88 \(\int \frac {-3+(6+x+\log (2)+e^{2 x} (12+2 x+2 \log (2))+(-12-2 x-2 \log (2)) \log (25)) \log ^2(6+x+\log (2))}{(12+2 x+2 \log (2)) \log ^2(6+x+\log (2))} \, dx\)
  3.9.89 \(\int \frac {x+(-x+x^2+200 x^3) \log (x)+\log ^2(x)+(-x-200 x^2) \log ^3(x)}{-x^2 \log (x)+x \log ^3(x)} \, dx\)
  3.9.90 \(\int \frac {4+16 x-20 x^2-8 x^3+21 x^4+2 x^5-8 x^6+x^8+e^{16} (16-8 x^2+x^4)+e^{12} (-64 x+32 x^3-4 x^5)+e^8 (16+32 x+84 x^2-16 x^3-46 x^4+2 x^5+6 x^6)+e^4 (-32 x^2-56 x^3+16 x^4+30 x^5-2 x^6-4 x^7)+(32 x^2+56 x^3-16 x^4-30 x^5+2 x^6+4 x^7+e^{12} (-64+32 x^2-4 x^4)+e^8 (192 x-96 x^3+12 x^5)+e^4 (-32-64 x-168 x^2+32 x^3+92 x^4-4 x^5-12 x^6)) \log (x)+(16+32 x+84 x^2-16 x^3-46 x^4+2 x^5+6 x^6+e^8 (96-48 x^2+6 x^4)+e^4 (-192 x+96 x^3-12 x^5)) \log ^2(x)+(64 x-32 x^3+4 x^5+e^4 (-64+32 x^2-4 x^4)) \log ^3(x)+(16-8 x^2+x^4) \log ^4(x)}{4+12 x^2+5 x^4-6 x^6+x^8+e^{16} (16-8 x^2+x^4)+e^{12} (-64 x+32 x^3-4 x^5)+e^8 (16+84 x^2-46 x^4+6 x^6)+e^4 (-32 x-40 x^3+28 x^5-4 x^7)+(32 x+40 x^3-28 x^5+4 x^7+e^{12} (-64+32 x^2-4 x^4)+e^8 (192 x-96 x^3+12 x^5)+e^4 (-32-168 x^2+92 x^4-12 x^6)) \log (x)+(16+84 x^2-46 x^4+6 x^6+e^8 (96-48 x^2+6 x^4)+e^4 (-192 x+96 x^3-12 x^5)) \log ^2(x)+(64 x-32 x^3+4 x^5+e^4 (-64+32 x^2-4 x^4)) \log ^3(x)+(16-8 x^2+x^4) \log ^4(x)} \, dx\)
  3.9.91 \(\int \frac {e^{\frac {1}{4} (-1-4 x) \log ^2(\frac {x^2+\log ^2(x)}{x^2})} (((-1-4 x) \log (x)+(1+4 x) \log ^2(x)) \log (\frac {x^2+\log ^2(x)}{x^2})+(-x^3-x \log ^2(x)) \log ^2(\frac {x^2+\log ^2(x)}{x^2}))}{x^3+x \log ^2(x)} \, dx\)
  3.9.92 \(\int (2 e^{2 x}+12 x+4 x^3+e^x (-6-4 x-2 x^2)) \, dx\)
  3.9.93 \(\int \frac {24-4 x+100 x^2-117 x^3+12 x^4+12 x^5+e^{2 x} (12 x^2+3 x^3)+e^x (8+4 x+72 x^2-30 x^3-12 x^4)+(-36+31 x+10 x^2+e^x (-12-11 x-2 x^2)) \log (4 x+x^2)}{(108 x^3-117 x^4+12 x^5+12 x^6+e^{2 x} (12 x^3+3 x^4)+e^x (72 x^3-30 x^4-12 x^5)+(12 x-5 x^2-2 x^3+e^x (4 x+x^2)) \log (4 x+x^2)) \log (\frac {81 x^4+9 e^{2 x} x^4-108 x^5+36 x^6+e^x (54 x^4-36 x^5)+(18 x^2+6 e^x x^2-12 x^3) \log (4 x+x^2)+\log ^2(4 x+x^2)}{9 x^3+e^{2 x} x^3-12 x^4+4 x^5+e^x (6 x^3-4 x^4)})} \, dx\)
  3.9.94 \(\int \frac {e^x (-x-3 x^2-x^3+\log (3))+e^x x \log (3) \log (x)}{x} \, dx\)
  3.9.95 \(\int \frac {1}{9} (-17+8 x+12 x^2+e^{2 x} (1+2 x)+e^{2 x^2} (1+4 x^2)+e^x (2+10 x+4 x^2)+e^{x^2} (-2-8 x-4 x^2-8 x^3+e^x (-2-2 x-4 x^2))) \, dx\)
  3.9.96 \(\int -\frac {e^{4+\frac {1}{3} (-9-e^4 \log (x)+3 \log ^2(\log (4)))}}{3 x} \, dx\)
  3.9.97 \(\int \frac {e^{e^{\frac {6+x^4+5 x^5 \log (x)}{x^3}}+\frac {6+x^4+5 x^5 \log (x)}{x^3}} (-18+x^4+5 x^5+10 x^5 \log (x))}{x^4} \, dx\)
  3.9.98 \(\int \frac {(-3-8 x) \log (2)-5 \log (2) \log (x)}{-72 x+144 x^2+180 x \log (x)+(-24 x+48 x^2+60 x \log (x)) \log (50 x-100 x^2-125 x \log (x))+(-2 x+4 x^2+5 x \log (x)) \log ^2(50 x-100 x^2-125 x \log (x))} \, dx\)
  3.9.99 \(\int \frac {(50-10 e^x-10 x) \log ^2(-5+e^x+x)+e^{\frac {2 x-2 x^2}{\log (-5+e^x+x)}} (-4 x^3+8 x^4-4 x^5+e^x (-4 x^3+8 x^4-4 x^5)+(-20 x^2+64 x^3-52 x^4+8 x^5+e^x (4 x^2-12 x^3+8 x^4)) \log (-5+e^x+x)+(-20 x+34 x^2-6 x^3+e^x (4 x-6 x^2)) \log ^2(-5+e^x+x))}{(-125 x^2+25 e^x x^2+25 x^3) \log ^2(-5+e^x+x)+e^{\frac {2 x-2 x^2}{\log (-5+e^x+x)}} (50 x^3-60 x^4+10 x^5+e^x (-10 x^3+10 x^4)) \log ^2(-5+e^x+x)+e^{\frac {2 (2 x-2 x^2)}{\log (-5+e^x+x)}} (-5 x^4+11 x^5-7 x^6+x^7+e^x (x^4-2 x^5+x^6)) \log ^2(-5+e^x+x)} \, dx\)
  3.9.100 \(\int \frac {3 x+e^{\frac {1}{3} (x-e^x \log (x))} (e^x-x+e^x x \log (x))}{3 x} \, dx\)