3.20 Integrals 1901 to 2000

  3.20.1 \(\int \frac {(2+2 x) \log (5)+e^x (x+x^2+x \log ^2(5))}{2 x \log (5)} \, dx\)
  3.20.2 \(\int \frac {9215-36864 x+27648 x^2+(9215-18432 x+9216 x^2) \log (9215 x-18432 x^2+9216 x^3)}{9215-18432 x+9216 x^2} \, dx\)
  3.20.3 \(\int \frac {1}{5} (-1+e^{\frac {1}{x}} (-5+10 x)) \, dx\)
  3.20.4 \(\int \frac {562-280 x+35 x^2}{8+558 x-280 x^2+35 x^3} \, dx\)
  3.20.5 \(\int -\frac {e^{25+\frac {1}{5} (-1+\log ^{-\frac {e^{25} x}{5+2 x}}(5))} \log ^{-\frac {e^{25} x}{5+2 x}}(5) \log (\log (5))}{25+20 x+4 x^2} \, dx\)
  3.20.6 \(\int \frac {2 x+18 x^2+54 x^3+6 e^{2 x} x^3+54 x^4+e^x (2 x+12 x^2+24 x^3+18 x^4)+(6 x+42 x^2+90 x^3+54 x^4+e^{2 x} (2 x+2 x^2+2 x^3)+e^x (6 x+24 x^2+26 x^3+12 x^4)) \log (x)+(6 x+30 x^2+42 x^3+18 x^4+e^x (4 x+8 x^2+6 x^3+2 x^4)) \log ^2(x)+(2 x+6 x^2+6 x^3+2 x^4) \log ^3(x)}{1+9 x+27 x^2+27 x^3+(3+21 x+45 x^2+27 x^3) \log (x)+(3+15 x+21 x^2+9 x^3) \log ^2(x)+(1+3 x+3 x^2+x^3) \log ^3(x)} \, dx\)
  3.20.7 \(\int \frac {2 e^{5 x}-2 x+e^{4 x} (-6-8 \log (3))-8 \log (3)+e^{3-x} (-2+2 x+8 \log (3)) \log (5)+2 e^{6-2 x} \log ^2(5)+e^x (2+4 x-2 x^2+(24-8 x) \log (3)+e^{3-x} (4-6 x-24 \log (3)) \log (5)-6 e^{6-2 x} \log ^2(5))+e^{3 x} (8+24 \log (3)-8 e^{3-x} \log (3) \log (5)-2 e^{6-2 x} \log ^2(5))+e^{2 x} (-6-2 x+(-32+8 x) \log (3)+e^{3-x} (-2+4 x+24 \log (3)) \log (5)+6 e^{6-2 x} \log ^2(5))}{-1+3 e^x-3 e^{2 x}+e^{3 x}} \, dx\)
  3.20.8 \(\int (6+e^{\frac {1}{4} (9-8 x-4 x^2+8 x^3+4 x^4)} (1-2 x-2 x^2+6 x^3+4 x^4)) \, dx\)
  3.20.9 \(\int \frac {-3600+480 x+164 x^2+e^4 (3600+3120 x+76 x^2-284 x^3+4 x^4)+e^8 (180 x^2+180 x^3+45 x^4)}{900 x^2-120 x^3+4 x^4+e^4 (-1800 x^2-660 x^3+112 x^4-4 x^5)+e^8 (900 x^2+780 x^3+109 x^4-26 x^5+x^6)} \, dx\)
  3.20.10 \(\int \frac {-32+2 x^4+384 x^5-160 x^7+2048 x^{10}+(-8 x+6 x^3+896 x^4-480 x^6+6144 x^9) \log (4) \log (5)+(-8+6 x^2+512 x^3-480 x^5+6144 x^8) \log ^2(4) \log ^2(5)+(2 x-160 x^4+2048 x^7) \log ^3(4) \log ^3(5)}{x^3+3 x^2 \log (4) \log (5)+3 x \log ^2(4) \log ^2(5)+\log ^3(4) \log ^3(5)} \, dx\)
  3.20.11 \(\int \frac {2^{\frac {1}{4+e^{3-x}+i \pi +x+\log (5-\log (5))}} e^{2^{\frac {1}{4+e^{3-x}+i \pi +x+\log (5-\log (5))}}} (-\log (2)+e^{3-x} \log (2))}{16+e^{6-2 x}+8 x+x^2+e^{3-x} (8+2 x)+(8+2 e^{3-x}+2 x) (i \pi +\log (5-\log (5)))+(i \pi +\log (5-\log (5)))^2} \, dx\)
  3.20.12 \(\int \frac {-5 e^{2209}+e^{1+x} (-10 x-5 x^2)+(1-e^{2209} x-e^{1+x} x^2) \log ^2(1-e^{2209} x-e^{1+x} x^2)}{(-1+e^{2209} x+e^{1+x} x^2) \log ^2(1-e^{2209} x-e^{1+x} x^2)} \, dx\)
  3.20.13 \(\int \frac {e^x (-60 x^2+24 x^3) \log ^2(x)+e^x (24 x^2-12 x^3) \log ^3(x)+e^{\frac {5-3 x^3 \log (x)}{3 x^2 \log (x)}} (20 e^x+40 e^x \log (x)+24 e^x x^2 \log ^2(x))}{3 x^5 \log ^2(x)} \, dx\)
  3.20.14 \(\int \frac {(37500-5625 x-4375 x^2) \log (6)}{-25000 x^5+25000 x^6-10000 x^7+2000 x^8-200 x^9+8 x^{10}} \, dx\)
  3.20.15 \(\int \frac {-8 x-8 x^2-2 x^3+(4 x+6 x^2+2 x^3) \log (x)}{\log ^5(x)} \, dx\)
  3.20.16 \(\int \frac {\sqrt [3]{7} (e^x (4-4 x)-12 x^2)}{3 x^2} \, dx\)
  3.20.17 \(\int \frac {1}{625} (38416+724416 x+3677352 x^2+6497568 x^3+1502805 x^4-3480840 x^5+1094450 x^6-132000 x^7+5625 x^8+(362208+2451568 x+4873176 x^2+1202244 x^3-2900700 x^4+938100 x^5-115500 x^6+5000 x^7) \log (2)+e^{4 e^x x} (16+320 x+1800 x^2+4000 x^3+3125 x^4+(160+1200 x+3000 x^2+2500 x^3) \log (2)+e^x (64 x+704 x^2+3040 x^3+6400 x^4+6500 x^5+2500 x^6+(64+704 x+3040 x^2+6400 x^3+6500 x^4+2500 x^5) \log (2)))+e^{3 e^x x} (-448-8832 x-48480 x^2-102400 x^3-67500 x^4+15000 x^5+(-4416-32320 x-76800 x^2-54000 x^3+12500 x^4) \log (2)+e^x (-1344 x-14592 x^2-61728 x^3-125280 x^4-117300 x^5-33000 x^6+7500 x^7+(-1344-14592 x-61728 x^2-125280 x^3-117300 x^4-33000 x^5+7500 x^6) \log (2)))+e^{2 e^x x} (4704+91392 x+489168 x^2+978240 x^3+516750 x^4-279000 x^5+26250 x^6+(45696+326112 x+733680 x^2+413400 x^3-232500 x^4+22500 x^5) \log (2)+e^x (9408 x+100800 x^2+417504 x^3+815232 x^4+695820 x^5+113700 x^6-85500 x^7+7500 x^8+(9408+100800 x+417504 x^2+815232 x^3+695820 x^4+113700 x^5-85500 x^6+7500 x^7) \log (2)))+e^{e^x x} (-21952-420224 x-2191392 x^2-4130304 x^3-1596300 x^4+1715400 x^5-339500 x^6+20000 x^7+(-210112-1460928 x-3097728 x^2-1277040 x^3+1429500 x^4-291000 x^5+17500 x^6) \log (2)+e^x (-21952 x-232064 x^2-940576 x^3-1763040 x^4-1351836 x^5-33360 x^6+237400 x^7-46000 x^8+2500 x^9+(-21952-232064 x-940576 x^2-1763040 x^3-1351836 x^4-33360 x^5+237400 x^6-46000 x^7+2500 x^8) \log (2)))) \, dx\)
  3.20.18 \(\int \frac {-78732+769826 x+1168020 x^2+707476 x^3+231100 x^4+44308 x^5+5000 x^6+308 x^7+8 x^8+(8748-89100 x-93804 x^2-37092 x^3-7092 x^4-660 x^5-24 x^6) \log (\frac {x}{3})+(-324+3432 x+2088 x^2+396 x^3+24 x^4) \log ^2(\frac {x}{3})+(4-44 x-8 x^2) \log ^3(\frac {x}{3})+(-34992+356400 x+375216 x^2+148368 x^3+28368 x^4+2640 x^5+96 x^6+(2592-27456 x-16704 x^2-3168 x^3-192 x^4) \log (\frac {x}{3})+(-48+528 x+96 x^2) \log ^2(\frac {x}{3})) \log (\log (3))+(-5184+54912 x+33408 x^2+6336 x^3+384 x^4+(192-2112 x-384 x^2) \log (\frac {x}{3})) \log ^2(\log (3))+(-256+2816 x+512 x^2) \log ^3(\log (3))}{x} \, dx\)
  3.20.19 \(\int \frac {-3+4 \log (4)}{2 x^2} \, dx\)
  3.20.20 \(\int \frac {-540+e^2 (45-9 x)-81 x+81 x^2+(108-27 x) \log (5)}{-3375 x^3-2025 x^4-405 x^5-27 x^6+e^6 (1+3 x+3 x^2+x^3)+e^4 (-45 x-99 x^2-63 x^3-9 x^4)+e^2 (675 x^2+945 x^3+297 x^4+27 x^5)+(2025 x^3+810 x^4+81 x^5+e^4 (9 x+18 x^2+9 x^3)+e^2 (-270 x^2-324 x^3-54 x^4)) \log (5)+(-405 x^3-81 x^4+e^2 (27 x^2+27 x^3)) \log ^2(5)+27 x^3 \log ^3(5)} \, dx\)
  3.20.21 \(\int e^{-3+e^{e^{-3+x^2} (3+e^{3-x^2} (5+x))}+x^2+e^{-3+x^2} (3+e^{3-x^2} (5+x))} (e^{3-x^2}+6 x) \, dx\)
  3.20.22 \(\int \frac {4 x^4+2 x^5+e^3 (-384 x-64 x^2)+(576+128 x) \log (2)}{x^4} \, dx\)
  3.20.23 \(\int \frac {-6 x-2 x^2+x^3+e^{\frac {1}{x}} (2+7 x+2 x^2-x^3)}{-2 x^2-x^3+e^{\frac {1}{x}} (2 x^2+x^3)} \, dx\)
  3.20.24 \(\int \frac {32+16 x+4 x^2+(32+32 x+12 x^2) \log (x)}{5 \log (5)} \, dx\)
  3.20.25 \(\int \frac {2 x+2 x^2+10 x^3+2 x^4+(-2 x+2 x^2) \log (x)+2 x^3 \log (4 x)+(2+2 x+10 x^2+2 x^3+(-2+2 x) \log (x)+2 x^2 \log (4 x)) \log (\frac {4 x+x^2+\log (x)+x \log (4 x)}{x})}{4 x^2+x^3+x \log (x)+x^2 \log (4 x)} \, dx\)
  3.20.26 \(\int \frac {8+12 x^2+e^{2+x} (2+2 x^2)+(-8 x-2 e^{2+x} x) \log (\frac {4+e^{2+x}}{e^2})}{4+e^{2+x}} \, dx\)
  3.20.27 \(\int \frac {e^{-3+e^{e^x}} (e^x (-4 x-4 x^2) \log (4)+e^{e^x} (8 e^x x \log (4)-4 e^{2 x} x^2 \log (4)))+e^{-6+2 e^{e^x}} (-8 \log (4)+4 e^x x \log (4)+e^x (-4 x-4 x^2) \log (4) \log (x))}{x+2 e^{-3+e^{e^x}} x \log (x)+e^{-6+2 e^{e^x}} x \log ^2(x)} \, dx\)
  3.20.28 \(\int \frac {e^{\frac {e+4 x^2}{x^2}} (-6 e+3 x^2)}{x^2} \, dx\)
  3.20.29 \(\int \frac {e^{\frac {2 (-7+e^{10}-4 x)}{x}} (14-2 e^{10})+x^2}{x^2} \, dx\)
  3.20.30 \(\int \frac {9 x^2-6 x^3+x^4+e^{\frac {e^{\frac {-3 e^x+e^3 (9-3 x)-9 x+3 x^2}{-3+x}}}{x}+\frac {-3 e^x+e^3 (9-3 x)-9 x+3 x^2}{-3+x}} (-27+99 x-57 x^2+9 x^3+e^x (36 x-9 x^2))}{9 x^3-6 x^4+x^5+e^{\frac {e^{\frac {-3 e^x+e^3 (9-3 x)-9 x+3 x^2}{-3+x}}}{x}} (27 x^2-18 x^3+3 x^4)} \, dx\)
  3.20.31 \(\int \frac {e^{\frac {1+2 e^{e^x} x+e^{2 e^e} x^2+e^{2 e^x} x^2+e^{e^e} (2 x+2 e^{e^x} x^2)}{x^2}} (-52+2 x-x^3+e^{2 e^x+x} (52 x^3-2 x^4)+e^{e^x} (-52 x+2 x^2+e^x (52 x^2-2 x^3))+e^{e^e} (-52 x+2 x^2+e^{e^x+x} (52 x^3-2 x^4)))}{x^3} \, dx\)
  3.20.32 \(\int \frac {e^4 (225-150 x)+1125 e^2 x^2}{e^4-30 e^2 x+225 x^2} \, dx\)
  3.20.33 \(\int \frac {-18+8 x-x^2+(8 x-2 x^2) \log (x)}{x} \, dx\)
  3.20.34 \(\int \frac {2^{-2 x} (-800-400 x+(-800 x-200 x^2) \log (2)+(-200-200 x \log (2)) \log (5)+2^x (10240+6400 x+960 x^2+(5120 x+2560 x^2+320 x^3) \log (2)+(5120+1600 x+(2560 x+640 x^2) \log (2)) \log (5)+(640+320 x \log (2)) \log ^2(5))+2^{2 x} (-32768-24576 x-6144 x^2-512 x^3+(-24576-12288 x-1536 x^2) \log (5)+(-6144-1536 x) \log ^2(5)-512 \log ^3(5)))}{64 x^3+48 x^4+12 x^5+x^6+(48 x^3+24 x^4+3 x^5) \log (5)+(12 x^3+3 x^4) \log ^2(5)+x^3 \log ^3(5)} \, dx\)
  3.20.35 \(\int \frac {-1+48 x^2+16 e^x x^2}{48 x^2} \, dx\)
  3.20.36 \(\int \frac {e^{-2 x^2} (40+160 x^2+2 e^{2 x^2} x^2-60 e x^3)}{x^2} \, dx\)
  3.20.37 \(\int \frac {32+16 x^3}{8 x+x^4} \, dx\)
  3.20.38 \(\int \frac {2 x^4+e^{\frac {5+e^{e^5}}{x}} (165+33 e^{e^5}+33 x)}{11 x^3} \, dx\)
  3.20.39 \(\int -2 e^{\frac {2}{25} (695-e^4-25 x)} \, dx\)
  3.20.40 \(\int \frac {-6 x+2 x \log (\frac {2}{e^3})}{9+6 x^2+x^4+(-6-2 x^2) \log (\frac {2}{e^3})+\log ^2(\frac {2}{e^3})} \, dx\)
  3.20.41 \(\int \frac {e^{-\frac {\log ^2(x)+2 e^x x \log (x) \log (x^2)+(e^{2 x} x^2+4 x^7) \log ^2(x^2)}{4 x^6 \log ^2(x^2)}} (2 \log ^2(x)+((-1+2 e^x x) \log (x)+3 \log ^2(x)) \log (x^2)+(-e^x x+e^x (5 x-x^2) \log (x)) \log ^2(x^2)+(2 x^6-2 x^7+e^{2 x} (2 x^2-x^3)) \log ^3(x^2))}{2 x^6 \log ^3(x^2)} \, dx\)
  3.20.42 \(\int \frac {-2600-1747 x+146 x^2-3 x^3+(-204-145 x+6 x^2) \log (4+3 x)+(-4-3 x) \log ^2(4+3 x)}{7500+5025 x-438 x^2+9 x^3+(600+426 x-18 x^2) \log (4+3 x)+(12+9 x) \log ^2(4+3 x)} \, dx\)
  3.20.43 \(\int (8 e^{5+8 x}-2 \log (\frac {3}{2 x})+(2-2 \log (\frac {3}{2 x})) \log (x)) \, dx\)
  3.20.44 \(\int \frac {e^{e^{\frac {2 e^{-2 x} (-100+40 x+76 x^2-16 x^3-16 x^4+e^{2+2 x} (x+4 x^2+4 x^3))}{1+4 x+4 x^2}}-2 x+\frac {2 e^{-2 x} (-100+40 x+76 x^2-16 x^3-16 x^4+e^{2+2 x} (x+4 x^2+4 x^3))}{1+4 x+4 x^2}} (1280+784 x-720 x^2-736 x^3+64 x^4+128 x^5+e^{2+2 x} (2+12 x+24 x^2+16 x^3))}{1+6 x+12 x^2+8 x^3} \, dx\)
  3.20.45 \(\int \frac {4+(1+x) \log (\frac {3}{x^2}) \log ^2(\log ^2(\frac {3}{x^2}))}{x \log (\frac {3}{x^2}) \log (\log ^2(\frac {3}{x^2}))+((-x+x^2) \log (\frac {3}{x^2})+x \log (\frac {3}{x^2}) \log (x)) \log ^2(\log ^2(\frac {3}{x^2}))} \, dx\)
  3.20.46 \(\int \frac {32-40 x-96 x^2+157 x^3-111 x^5-9 x^7+3 x^9+e^{2 x^2} (2-10 x^2+4 x^4)+e^{x^2} (16-10 x-64 x^2+60 x^3+16 x^4-70 x^5+20 x^7)}{-x^3+3 x^5-3 x^7+x^9} \, dx\)
  3.20.47 \(\int \frac {1}{3} e^{\frac {1}{3} (3+3 x-\log (x))} (3+(2+3 x) \log (x)) \, dx\)
  3.20.48 \(\int \frac {e^{-x} (-2-2 x-x^2+e^5 x^2-2 e^x x^2)}{2 x^2} \, dx\)
  3.20.49 \(\int \frac {-1+e^2+5 e^4+(e^2+5 e^4) \log (x)+(1+10 e^2+(1+10 e^2) \log (x)) \log (1+\log (x))+(5+5 \log (x)) \log ^2(1+\log (x))}{e^4+e^4 \log (x)+(2 e^2+2 e^2 \log (x)) \log (1+\log (x))+(1+\log (x)) \log ^2(1+\log (x))} \, dx\)
  3.20.50 \(\int \frac {-5 x+(10 x+4 x^2) \log (\frac {x}{5+2 x})+(25-4 x^2) \log ^2(\frac {x}{5+2 x})}{(5+2 x) \log ^2(\frac {x}{5+2 x})} \, dx\)
  3.20.51 \(\int \frac {2 x^3-4 x^4+(6 x-12 x^2-4 x^3+3 x^4+x^5) \log (-x+x^2)+(-12 x+6 x^2+6 x^3) \log ^2(-x+x^2)+(-10+9 x+x^2) \log ^3(-x+x^2)}{(-x^4+x^5) \log (-x+x^2)+(-6 x^2+6 x^3) \log ^2(-x+x^2)+(-9+8 x+x^2) \log ^3(-x+x^2)} \, dx\)
  3.20.52 \(\int \frac {32 x+16 e^3 x+2 e^6 x}{1+e^5-2 x^2+x^4+e^{5/2} (-2+2 x^2)} \, dx\)
  3.20.53 \(\int \frac {48 x^3+e^6 (4+12 x-36 x^2+48 x^3)}{e^6} \, dx\)
  3.20.54 \(\int \frac {45-5 x+18 x^2-e (-9+x) x^2-2 x^3+e^x (9 x^2-x^3)}{-9 x^2+x^3} \, dx\)
  3.20.55 \(\int \frac {-4+8 x+(-2+e (-1+2 x)) \log (4)}{4+e \log (4)} \, dx\)
  3.20.56 \(\int \frac {4-144 x^3-576 x^3 \log (4)+e^{2 x} (-72 x-72 x^2+(-288 x-288 x^2) \log (4))+e^x (216 x^2+72 x^3+(864 x^2+288 x^3) \log (4))}{1+4 \log (4)} \, dx\)
  3.20.57 \(\int \frac {5-e^{\frac {5}{\log (3)}}+x^2+e^x x^2-2 x^3}{x^2} \, dx\)
  3.20.58 \(\int \frac {4 e^{5+\frac {2}{\log (x)}}+(-x+36 x^2) \log ^2(x)}{2 x \log ^2(x)} \, dx\)
  3.20.59 \(\int \frac {-179159040-414720 x+165888 x^2-165888 x^2 \log (3)}{-2015539200+820212480 x-86252688 x^2+572857 x^3-1306 x^4+x^5+(-806215680 x+166841856 x^2-1132704 x^3+2602 x^4-2 x^5) \log (3)+(-80621568 x^2+559872 x^3-1296 x^4+x^5) \log ^2(3)} \, dx\)
  3.20.60 \(\int \frac {4 e^{\log ^2(-3 x^2)} \log (-3 x^2)}{x} \, dx\)
  3.20.61 \(\int \frac {-2+e^{e^4} (4-4 x+x^2)}{8-8 x+2 x^2} \, dx\)
  3.20.62 \(\int e^{e^x+x} \, dx\)
  3.20.63 \(\int \frac {e^{2 x} (-6-12 x)+6 x^2}{e} \, dx\)
  3.20.64 \(\int \frac {79-4 x-3080 x^3+160 x^4-616 x^7+32 x^8+(-4660 x^2+240 x^3-2164 x^6+112 x^7) \log (79-4 x)+(-1580 x+80 x^2-2796 x^5+144 x^6) \log ^2(79-4 x)+(-1564 x^4+80 x^5) \log ^3(79-4 x)+(-316 x^3+16 x^4) \log ^4(79-4 x)}{-79+4 x} \, dx\)
  3.20.65 \(\int \frac {e^{4+e^{\frac {-3+e^x+e (-1-x)+e^{e^3} (-1-x)-3 x}{3+e+e^{e^3}}}+\frac {-3+e^x+e (-1-x)+e^{e^3} (-1-x)-3 x}{3+e+e^{e^3}}} (-3-e-e^{e^3}+e^x)}{3+e+e^{e^3}} \, dx\)
  3.20.66 \(\int \frac {15}{11+15 x} \, dx\)
  3.20.67 \(\int \frac {-25 e^6-10 e^3 \log (-5 x)-\log ^2(-5 x)+(10 e^3+2 \log (-5 x)) \log (x)+2 e^6 x^2 \log ^2(x)}{e^6 x \log ^2(x)} \, dx\)
  3.20.68 \(\int (8+e^{\frac {5-4 x}{x}} (5 x^2-4 x^3)) \, dx\)
  3.20.69 \(\int \frac {-50-18 x-2 x^2}{-660-280 x-42 x^2-2 x^3+(30+10 x+x^2) \log (-30-10 x-x^2)} \, dx\)
  3.20.70 \(\int e^{e^4+x} (1-x^2) \, dx\)
  3.20.71 \(\int \frac {x+e^x (-2 x+x^2) \log (5 x) \log (\log (5 x))+2 x \log (5 x) \log (\log (5 x)) \log (\frac {x^2}{\log (\log (5 x))})}{(1-2 e^x+e^{2 x}) \log (5 x) \log (\log (5 x))+(2-2 e^x) \log (5 x) \log (\log (5 x)) \log (\frac {x^2}{\log (\log (5 x))})+\log (5 x) \log (\log (5 x)) \log ^2(\frac {x^2}{\log (\log (5 x))})} \, dx\)
  3.20.72 \(\int \frac {e^{-4+\frac {e^4 (12-12 x)+4 x^2}{e^4 (-1+2 x)}} (-12 e^4-8 x+8 x^2)}{1-4 x+4 x^2} \, dx\)
  3.20.73 \(\int \frac {1}{2} (-6 e^2+9 e^{2+\frac {x^3}{2}} x^2) \, dx\)
  3.20.74 \(\int \frac {4 e^{1+x}-4 e^{1+x} x \log (x)+(12 x-4 x \log (\frac {7}{4})) \log ^2(x)}{x \log ^2(x)} \, dx\)
  3.20.75 \(\int (-2 x-8 x^7+e^{5/x} (5 x^6-8 x^7)-\log (\log (25))) \, dx\)
  3.20.76 \(\int \frac {-1600 x^2-3200 x^3+e^{2 x} (-400 x^2-800 x^3)+160 \log (4)+e^x (1600 x^2+3200 x^3+(-80-80 x+20 x^2) \log (4))}{1600 x^4+3200 x^5+1600 x^6+e^{2 x} (400 x^4+800 x^5+400 x^6)+(320 x^2+240 x^3-80 x^4) \log (4)+(16-8 x+x^2) \log ^2(4)+e^x (-1600 x^4-3200 x^5-1600 x^6+(-160 x^2-120 x^3+40 x^4) \log (4))} \, dx\)
  3.20.77 \(\int \frac {1-8 x-4 e^5 x+24 x^2-32 x^3+16 x^4+e^{2 x} (-2 x+12 x^2-24 x^3+16 x^4)}{-x+6 x^2-12 x^3+8 x^4} \, dx\)
  3.20.78 \(\int \frac {-6561 x^2+e^{x^4} (-6561 x^2+4 x^4)+(-1+e^{x^4} (-1-162 x)-162 x) \log (1+e^{x^4})+(-1-e^{x^4}) \log ^2(1+e^{x^4})}{6561 x^2+6561 e^{x^4} x^2+(162 x+162 e^{x^4} x) \log (1+e^{x^4})+(1+e^{x^4}) \log ^2(1+e^{x^4})} \, dx\)
  3.20.79 \(\int \frac {4 e^{2+2 x}+e^{-61+16 e^x-e^{2 x}+x} (-2-2 x-32 e^x x+4 e^{2 x} x)}{9+6 e^{2+2 x}+e^{4+4 x}+e^{-122+32 e^x-2 e^{2 x}+2 x} x^2+e^{-61+16 e^x-e^{2 x}+x} (-6 x-2 e^{2+2 x} x)} \, dx\)
  3.20.80 \(\int \frac {-6-3 x-x^3 \log (4 e^e)}{3 x-e^x x^3+x^3 \log (4 e^e)} \, dx\)
  3.20.81 \(\int \frac {270+105 x+596 x^2+57 x^3+230 x^4-25 x^5+15 x^7+e^5 (600 x^2+60 x^3+480 x^4-50 x^5)+e^{10} (250 x^4-25 x^5)}{25 x^7} \, dx\)
  3.20.82 \(\int \frac {18+9 x+8 x^3+e^{4 x-4 x^2} x^3+6 x^4+x^5+e^{2 x-2 x^2} (6+6 x-12 x^2+4 x^3+6 x^4)}{9 x^3+e^{4 x-4 x^2} x^3+6 x^4+x^5+e^{2 x-2 x^2} (6 x^3+2 x^4)} \, dx\)
  3.20.83 \(\int \frac {-2 x+2 e^{2 x} x+e^x (2-2 x^2)+(e^{2 x} (4 x+2 x^2)+e^x (-4 x^2-2 x^3)) \log (x)+(-2 x+e^x (1+x)+(-2 e^x x^2+e^{2 x} (x+x^2)) \log (x)) \log (\frac {2}{x^2+2 e^x x^3 \log (x)+e^{2 x} x^4 \log ^2(x)})}{(1+e^x x \log (x)) \log ^2(\frac {2}{x^2+2 e^x x^3 \log (x)+e^{2 x} x^4 \log ^2(x)})} \, dx\)
  3.20.84 \(\int \frac {e^{-2 x-\log ^4(3)+2 x \log ^2(3) \log (\log (x))-x^2 \log ^2(\log (x))} (2 \log ^2(3)-2 \log (x)+(-2 x+2 \log ^2(3) \log (x)) \log (\log (x))-2 x \log (x) \log ^2(\log (x)))}{\log (x)} \, dx\)
  3.20.85 \(\int \frac {e^5-2 x^3}{x^2} \, dx\)
  3.20.86 \(\int \frac {-8 x^2+2 x^3+e^{2 e^{2 x}+2 x} (-16 x+4 x^2)+e^x (-48 x-46 x^2+6 x^3+2 x^4)+e^{2 x} (-40-248 x-28 x^2+14 x^3+2 x^4)+(e^{2 x} (8+88 x-6 x^2-4 x^3)+e^x (8 x+6 x^2-2 x^3)) \log (\frac {-12+3 x}{x})+e^{2 x} (-8 x+2 x^2) \log ^2(\frac {-12+3 x}{x})+e^{e^{2 x}} (-8 x+2 x^2+e^x (-8-48 x+4 x^2+2 x^3)+e^{2 x} (-16 x^2+4 x^3)+e^{3 x} (-80 x+4 x^2+4 x^3)+(e^{3 x} (16 x-4 x^2)+e^x (8 x-2 x^2)) \log (\frac {-12+3 x}{x}))}{-4 x+x^2} \, dx\)
  3.20.87 \(\int \frac {64 e^3+e^3 (384+192 x) \log (2)+e^3 (576+576 x+108 x^2) \log ^2(2)+e^x (-64-64 x+(-384-576 x-96 x^2) \log (2)+(-576-1152 x-396 x^2-36 x^3) \log ^2(2))}{e^3 \log ^2(2)} \, dx\)
  3.20.88 \(\int \frac {1}{2} (72+e^{\frac {1}{2} (8 e^{12}-3 x)} (2-3 x)+192 x+96 x^2+e^{\frac {1}{4} (8 e^{12}-3 x)} (-24-14 x+12 x^2)) \, dx\)
  3.20.89 \(\int \frac {-1-\log (\frac {\log (\frac {1}{4} \log ^2(1+e^{16}))}{x})}{x^2} \, dx\)
  3.20.90 \(\int \frac {1}{10} (-629+320 x-160 \log (x)) \, dx\)
  3.20.91 \(\int \frac {10 e^{-7+x}}{-3+e^{-7+x}} \, dx\)
  3.20.92 \(\int (2-2 x+\log (\frac {13}{2})) \, dx\)
  3.20.93 \(\int -\frac {48 e^{e^{\frac {3}{\log ^2(\frac {1}{4} (2+\log (x^2)))}}+\frac {3}{\log ^2(\frac {1}{4} (2+\log (x^2)))}}}{(2 x+x \log (x^2)) \log ^3(\frac {1}{4} (2+\log (x^2)))} \, dx\)
  3.20.94 \(\int \frac {-3840+e^5 (-3840-1280 x)-1280 x+e^{10} (11520+9600 x+2880 x^2+320 x^3)}{e^{10}} \, dx\)
  3.20.95 \(\int \frac {3145728 e^{\frac {65536}{x^{48}}}-4 x^{49}}{x^{49}} \, dx\)
  3.20.96 \(\int \frac {-1500 e^{15-3 x} x^5+e^{20-4 x} (-2500 x^5+2500 x^6)+e^x (e^{20-4 x} (2500 x^3-2500 x^4)+e^{15-3 x} (-1500 x^3+1500 x^4))+(-2700 e^{10-2 x} x^5+e^{15-3 x} (-6000 x^5+4500 x^6)+e^x (e^{15-3 x} (6000 x^3-4500 x^4)+e^{10-2 x} (-2700 x^3+2700 x^4))) \log (\frac {-e^x+x^2}{2 x})+(-1620 e^{5-x} x^5+e^{10-2 x} (-5400 x^5+2700 x^6)+e^x (e^{10-2 x} (5400 x^3-2700 x^4)+e^{5-x} (-1620 x^3+1620 x^4))) \log ^2(\frac {-e^x+x^2}{2 x})+(-324 x^5+e^{5-x} (-2160 x^5+540 x^6)+e^x (-324 x^3+324 x^4+e^{5-x} (2160 x^3-540 x^4))) \log ^3(\frac {-e^x+x^2}{2 x})+(324 e^x x^3-324 x^5) \log ^4(\frac {-e^x+x^2}{2 x})}{81 e^x-81 x^2} \, dx\)
  3.20.97 \(\int \frac {(6 e^x-4 e^{2 x} x) \log (x)+(-3 e^x+2 e^{2 x} x+e^x (3+3 x) \log (x)) \log (x^2)}{(9-12 e^x x+4 e^{2 x} x^2) \log ^2(x)} \, dx\)
  3.20.98 \(\int \frac {e^{x \log (3) \log (x^2 \log (x^2))} ((-4 x-2 x^2) \log (3)+(4+3 x+(-4 x-2 x^2) \log (3)) \log (x^2)+(-2 x-x^2) \log (3) \log (x^2) \log (x^2 \log (x^2)))}{(4 x^3+4 x^4+x^5) \log (x^2)} \, dx\)
  3.20.99 \(\int \frac {8+30 x^3}{(-10 x-40 x^3+75 x^4) \log (\frac {-2-8 x^2+15 x^3}{2 x^2})} \, dx\)
  3.20.100 \(\int \frac {e^{6+2 e^x-2 x+2 x^2}-x^3+x^4+e^{3+e^x-x+x^2} (-x-3 x^2+e^x x^2+2 x^3)}{e^{6+2 e^x-2 x+2 x^2} x-2 e^{3+e^x-x+x^2} x^3+x^5} \, dx\)