3.47 Integrals 4601 to 4700

  3.47.1 \(\int \frac {e^8 (-75-50 x-25 x^3+\frac {x^2 (108 x^2+108 x^3+36 x^4+4 x^5)}{e^8})}{x^2 (54 x+54 x^2+18 x^3+2 x^4)} \, dx\)
  3.47.2 \(\int \frac {e^{2 e^e+2 (-5+x) \log ^4(2+x)} (e^{2 x^2} (8 x+4 x^2)+e^{2 x^2} (-40+8 x) \log ^3(2+x)+e^{2 x^2} (4+2 x) \log ^4(2+x))}{2+x} \, dx\)
  3.47.3 \(\int \frac {e^{\frac {1}{3} (5-\log (6 x^2-x^3))} (-4+x)-18 x+3 x^2+(6 x-x^2) \log (20)}{-6 x+x^2} \, dx\)
  3.47.4 \(\int \frac {-27+27 x+72 x^2+e^{\frac {1}{9} (100 x^2+40 x^3+44 x^4+8 x^5+4 x^6)} (200 x^2+120 x^3+176 x^4+40 x^5+24 x^6)}{9 x} \, dx\)
  3.47.5 \(\int \frac {25 e^{4 x}+256 x^2+e^{2 x} (160 x+(8-16 x) \log (2))}{25 e^{4 x}+160 e^{2 x} x+256 x^2} \, dx\)
  3.47.6 \(\int \frac {-2+3 x+2 x^2+\frac {e^{12-2 x} (6 x+2 x^2)}{(4+2 x)^2}}{2 x+x^2} \, dx\)
  3.47.7 \(\int -2 e^2 \, dx\)
  3.47.8 \(\int \frac {-14+2 x+6 x^2}{48-56 x+4 x^2+8 x^3+(12-14 x+x^2+2 x^3) \log (-12+14 x-x^2-2 x^3)} \, dx\)
  3.47.9 \(\int \frac {1}{5} (-1-20 x^3-\log (x)) \, dx\)
  3.47.10 \(\int \frac {10}{e^4+2 x-\log (\frac {4}{3})} \, dx\)
  3.47.11 \(\int \frac {15 x-25 x \log (x)+(-4+9 x+2 x^2+3 x^3) \log ^2(x)+(5 x-5 x \log (x)) \log (x^2)}{4 x \log ^2(x)} \, dx\)
  3.47.12 \(\int \frac {1}{5} e^{-2 x} (-2+e^{2 x} (-5+10 x)) \, dx\)
  3.47.13 \(\int (-8+2 x+e^{2 e^{4 x+x^2}+4 x+x^2} (8+4 x)+e^{e^{4 x+x^2}} (2+e^{4 x+x^2} (-32-8 x+4 x^2))) \, dx\)
  3.47.14 \(\int \frac {(-3-3 x) \log (3)+(-3-3 x) \log (3) \log (x^2)+((9+9 x-9 x^2) \log (3)+(3+3 x-3 x^2) \log (3) \log (x^2)) \log (\frac {9+3 \log (x^2)}{x})}{3 e^x+e^x \log (x^2)} \, dx\)
  3.47.15 \(\int \frac {2 x-5 x^2-5 x^3+(-1-x) \log (1+2 x+x^2)}{x^2+x^3} \, dx\)
  3.47.16 \(\int \frac {e^{-x} (e^{e^{e^{-x} x}} (-12 e^x x^2+e^{e^{-x} x} (-4 x^3+4 x^4))+e^x (16 x^3+4 \log (9)))}{\log (9)} \, dx\)
  3.47.17 \(\int \frac {-7 e-14 x-60 \log (4)}{3 \log (4)} \, dx\)
  3.47.18 \(\int \frac {8 x+e^x x (-3-3 x-x^2)}{64 x+16 e^x x^2+e^{2 x} x^3} \, dx\)
  3.47.19 \(\int \frac {-75-500 x-565 x^2+36 x^4+(-600-1920 x+440 x^2) \log (4)+(-1200+320 x-16 x^2) \log ^2(4)}{x^4} \, dx\)
  3.47.20 \(\int \frac {-5 e+5 e^{e^5 x^2+x^3}+5 x+(5 e-10 x+e^{e^5 x^2+x^3} (-5-10 e^5 x^2-15 x^3)) \log (x)}{e^2 x^2+e^{2 e^5 x^2+2 x^3} x^2-2 e x^3+x^4+e^{e^5 x^2+x^3} (-2 e x^2+2 x^3)} \, dx\)
  3.47.21 \(\int \frac {e^{\frac {8}{9} e^{-2 x} x^2} (-72 e^{2+2 x}+e^2 (64 x^2-64 x^3)+e^{2 x} (-144 e^{2+2 x}+e^2 (64 x-64 x^2)))}{9 e^{8 x}+27 e^{6 x} x+27 e^{4 x} x^2+9 e^{2 x} x^3} \, dx\)
  3.47.22 \(\int \frac {-5+\log (\frac {3}{x})}{x^2} \, dx\)
  3.47.23 \(\int \frac {e^{\frac {2 x \log (2)+\log (2) \log (2 x)+\log (-4+2 x)}{\log (2)}} (x+x^2+(-2-3 x-2 x^2+2 x^3) \log (2))}{(-2 x-3 x^2+x^4) \log (2)} \, dx\)
  3.47.24 \(\int \frac {125+e^{1+\frac {1}{25} (-25 x+e x)}+150 x}{-25+25 e^{\frac {1}{25} (-25 x+e x)}+150 x} \, dx\)
  3.47.25 \(\int \frac {1}{36} e^{\frac {1}{9} (-45-9 e^x+4 x)} (-56-40 x+16 x^2+e^x (-441+252 x-36 x^2)) \, dx\)
  3.47.26 \(\int \frac {1-3 x}{x} \, dx\)
  3.47.27 \(\int \frac {e^{\frac {9+24 x^2+72 x^3+70 x^4+96 x^5+216 x^6+216 x^7+81 x^8}{3 x+x^2}} (-27-18 x+72 x^2+432 x^3+702 x^4+1292 x^5+3528 x^6+4752 x^7+2781 x^8+486 x^9)}{9 x^2+6 x^3+x^4} \, dx\)
  3.47.28 \(\int \frac {e^{\frac {-5-14 x-5 x^2-x^3-x^4+(-2 x^2-x^3) \log (3)}{1+2 x+x^2}} (-4+4 x-3 x^2-5 x^3-2 x^4+(-4 x-3 x^2-x^3) \log (3))}{1+3 x+3 x^2+x^3} \, dx\)
  3.47.29 \(\int \frac {81 x^2+18 x^4+x^6+(162 x+18 x^3) \log (2)+81 \log ^2(2)+(-81 x^2-18 x^3-18 x^4-2 x^5-x^6+(-162 x-18 x^2-18 x^3) \log (2)-81 \log ^2(2)) \log (x)+(18 x^3+x^4+2 x^5+18 x^2 \log (2)) \log ^2(x)-x^4 \log ^3(x)+e^{-\frac {3}{-9 x-x^3-9 \log (2)+x^2 \log (x)}} (27 x+78 x^2+9 x^3+18 x^4+x^6+(162 x+18 x^3) \log (2)+81 \log ^2(2)+(-6 x^2-18 x^3-2 x^5-18 x^2 \log (2)) \log (x)+x^4 \log ^2(x))}{81 x^4+18 x^6+x^8+(162 x^3+18 x^5) \log (2)+81 x^2 \log ^2(2)+(-18 x^5-2 x^7-18 x^4 \log (2)) \log (x)+x^6 \log ^2(x)} \, dx\)
  3.47.30 \(\int \frac {1}{4} (1+\log (9 x \log (4))) \, dx\)
  3.47.31 \(\int \frac {289 x-289 x^2+e^{2 x} (-1156+2312 x)}{4 x^2} \, dx\)
  3.47.32 \(\int \frac {1-2 x-4 x^3+e^{-2 x} (4+4 x^2) (4+4 \log (5))^2+(4 x^2-4 e^{-2 x} x (4+4 \log (5))^2) \log (-x+e^{-2 x} (4+4 \log (5))^2)+(-x+e^{-2 x} (4+4 \log (5))^2) \log ^2(-x+e^{-2 x} (4+4 \log (5))^2)}{-4 x^3+4 e^{-2 x} x^2 (4+4 \log (5))^2+(4 x^2-4 e^{-2 x} x (4+4 \log (5))^2) \log (-x+e^{-2 x} (4+4 \log (5))^2)+(-x+e^{-2 x} (4+4 \log (5))^2) \log ^2(-x+e^{-2 x} (4+4 \log (5))^2)} \, dx\)
  3.47.33 \(\int \frac {-8 x-6 e x+2 e^4 x-4 e^2 x^2}{16+9 e^2+e^8-8 e^6 x-32 x^2+16 x^4+e (24-24 x^2)+e^4 (-8-6 e+24 x^2)+e^2 (32 x+24 e x-32 x^3)} \, dx\)
  3.47.34 \(\int \frac {1}{200 e^8} \, dx\)
  3.47.35 \(\int \frac {-62-32 x-4 x^2+(32+16 x+2 x^2) \log (2 x)+(16+8 x+x^2) \log ^2(2 x)}{16+8 x+x^2} \, dx\)
  3.47.36 \(\int (2+(-2 x+8 x^3) \log (2)) \, dx\)
  3.47.37 \(\int \frac {-45-8 x+5 x^2+e^x (12 x+3 x^2)+(-15-2 x+3 e^x x+x^2) \log (\frac {1}{3} (-60-8 x+12 e^x x+4 x^2))}{-15-2 x+3 e^x x+x^2} \, dx\)
  3.47.38 \(\int \frac {-8 x+(-24-8 x-8 x^2 \log (3)) \log (3+x)+(-24 x-8 x^2) \log (3) \log ^2(3+x)+(3 x^3+x^4) \log ^3(3+x)}{(12 x^3+4 x^4) \log ^3(3+x)} \, dx\)
  3.47.39 \(\int (-1-\log (x^2)) \, dx\)
  3.47.40 \(\int \frac {6 x^2+x^{\frac {1}{x}} (3+x+4 x^2+x^3+(-3-x) \log (x))}{6 x^2+x^{\frac {1}{x}} (3 x^2+x^3)} \, dx\)
  3.47.41 \(\int \frac {e^3 (31+9 x)+(12+28 x+8 x^2) \log (5)}{e^3 (12+4 x)} \, dx\)
  3.47.42 \(\int \frac {-520+40 e^4-20 x+e^{-x+x^2} (-52+24 x-50 x^2-4 x^3+e^4 (4-2 x+4 x^2))}{100 x^3+20 e^{-x+x^2} x^3+e^{-2 x+2 x^2} x^3} \, dx\)
  3.47.43 \(\int \frac {-16384 x^2-90112 x^3-236544 x^4-311808 x^5-108800 x^6+263744 x^7+404160 x^8+167680 x^9-15488 x^{10}+436 x^{11}-4 x^{12}+e^9 (-256 x^8+256 x^9)+e^6 (-3072 x^6-3584 x^7+384 x^8+7104 x^9-192 x^{10})+e^3 (-12288 x^4-40960 x^5-57600 x^6-2944 x^7+70912 x^8+61856 x^9-3504 x^{10}+48 x^{11})+(16384 x+81920 x^2+193536 x^3+163328 x^4-204544 x^5-671168 x^6-709472 x^7-241792 x^8+22976 x^9-652 x^{10}+6 x^{11}+e^9 (256 x^7-384 x^8)+e^6 (3072 x^5+2048 x^6-4352 x^7-10560 x^8+288 x^9)+e^3 (12288 x^3+34816 x^4+30976 x^5-56960 x^6-141568 x^7-90816 x^8+5232 x^9-72 x^{10})) \log (x^2)+(8192 x+43008 x^2+148480 x^3+313344 x^4+407424 x^5+305312 x^6+74112 x^7+128 e^9 x^7-7488 x^8+216 x^9-2 x^{10}+e^6 (1536 x^5+3968 x^6+3456 x^7-96 x^8)+e^3 (6144 x^3+26624 x^4+59904 x^5+70656 x^6+28960 x^7-1728 x^8+24 x^9)) \log ^2(x^2)}{4096+36864 x+138240 x^2+275712 x^3+306432 x^4+176256 x^5+36336 x^6+64 e^9 x^6-3744 x^7+108 x^8-x^9+e^6 (768 x^4+2304 x^5+1728 x^6-48 x^7)+e^3 (3072 x^2+18432 x^3+41472 x^4+41088 x^5+14400 x^6-864 x^7+12 x^8)} \, dx\)
  3.47.44 \(\int \frac {-11+e^x (-1+x)}{x^2} \, dx\)
  3.47.45 \(\int \frac {-11 x+4 \log ^2(-5+e^5)+x \log (\frac {x^4}{16})}{x^3-2 x^2 \log ^2(-5+e^5)+x \log ^4(-5+e^5)} \, dx\)
  3.47.46 \(\int -\frac {8}{x \log ^2(\frac {4 x^3}{3})} \, dx\)
  3.47.47 \(\int \frac {2 x^2+e^{\frac {3-6 x-2 x^2}{2 x}} (-3-2 x^2)}{2 x^2} \, dx\)
  3.47.48 \(\int \frac {-6-2 x+(18+12 x+2 x^2+(-27-18 x-3 x^2) \log (2)) \log (2 x)+3 \log (2 x) \log (\frac {25}{\log ^2(2 x)})}{(54 x+36 x^2+6 x^3+(-81 x-54 x^2-9 x^3) \log (2)) \log (2 x)+(9 x+3 x^2) \log (2 x) \log (\frac {25}{\log ^2(2 x)})} \, dx\)
  3.47.49 \(\int (20+2 x+3 x^2-8 x^3-5 x^4+(8-16 x-24 x^2) \log (2)-16 \log ^2(2)+e^{2 x} (-1-2 x) \log ^2(2)+e^x ((-2+2 x+8 x^2+2 x^3) \log (2)+(8+8 x) \log ^2(2))) \, dx\)
  3.47.50 \(\int \frac {e^{1-2 x-4 e^{-2 x} x+e^{-4 e^{-2 x} x} \log (x)} (e^{2 x}+(-4 x+8 x^2) \log (x))}{21 x} \, dx\)
  3.47.51 \(\int \frac {e^{-3+e-x} (12-2 x^2) (6+2 x-x^2)}{3 (-6+x^2)} \, dx\)
  3.47.52 \(\int \frac {12 e^2+4 e^{6+x} x^2}{x^2} \, dx\)
  3.47.53 \(\int (17640-4410 x+2 x \log (3)) \, dx\)
  3.47.54 \(\int \frac {140-140 x^2+35 x^4+e^{\frac {2 e^2}{-2+x^2}} (4-4 x^2+x^4)+e^{\frac {e^2}{-2+x^2}} (48-48 x^2+4 e^2 x^2+12 x^4)}{200-200 x^2+50 x^4+e^{\frac {2 e^2}{-2+x^2}} (8-8 x^2+2 x^4)+e^{\frac {e^2}{-2+x^2}} (80-80 x^2+20 x^4)} \, dx\)
  3.47.55 \(\int \frac {-3+e^{5/3} (-18-2 x)+(18+2 x) \log (3)}{-2 e^{5/3} x^2+2 x^2 \log (3)} \, dx\)
  3.47.56 \(\int \frac {1}{99} (99+800 e^{e^{-\frac {400 x^2}{99}}-\frac {400 x^2}{99}} x) \, dx\)
  3.47.57 \(\int \frac {3}{-5+45 x^2} \, dx\)
  3.47.58 \(\int \frac {e^{3 x} (2-6 x) \log (5)+e^x (4-4 x) \log (5)-8 e^{2 x} x^2 \log (5)}{e^{6 x}+16 e^x x+16 e^{3 x} x+4 e^{5 x} x+16 x^2+e^{4 x} (4+4 x^2)+e^{2 x} (4+16 x^2)} \, dx\)
  3.47.59 \(\int \frac {192 x^2+36 x^3-3 x^4+(-576 x^2-48 x^3+9 x^4) \log (x)+(16-1528 x-47 x^2+24 x^3) \log ^2(x)}{(16+8 x+x^2) \log ^2(x)} \, dx\)
  3.47.60 \(\int (1+10750 x-10752 x^2 \log (x)-16128 x^2 \log ^2(x)) \, dx\)
  3.47.61 \(\int (-1+16 e^4+2 x) \log (5+\log (16)) \, dx\)
  3.47.62 \(\int \frac {256 25^{108+36 x+4 x^2} (e^{-x} x)^{108+36 x+4 x^2} (108-72 x-32 x^2-4 x^3+(36 x+8 x^2) \log (25 e^{-x} x))}{x} \, dx\)
  3.47.63 \(\int \frac {32 x^3-16 x^5+2 x^7+(16 x^2-4 x^4) \log (4)+2 x \log ^2(4)+e^x (4 x^2+2 x^3-x^4+(1+x) \log (4))}{16 x^2-8 x^4+x^6+(8 x-2 x^3) \log (4)+\log ^2(4)} \, dx\)
  3.47.64 \(\int e^{x+e^x x} (-1-x) \, dx\)
  3.47.65 \(\int \frac {-4-6 x-4 x^2-2 x \log (x)}{x} \, dx\)
  3.47.66 \(\int \frac {e^{-x-\frac {2 e^{-x} (e^{\frac {1}{x}} x^2-x^3)}{\log (x)}} (-5 e^{\frac {1}{x}} x+5 x^2+(-15 x^2+5 x^3+e^{\frac {1}{x}} (-5+10 x-5 x^2)) \log (x)+e^{x+\frac {2 e^{-x} (e^{\frac {1}{x}} x^2-x^3)}{\log (x)}} \log ^2(x))}{\log ^2(x)} \, dx\)
  3.47.67 \(\int \frac {(-157464-96228 e-9396 e^2-332 e^3-4 e^4) \log (2)+(-87480-50220 e-3360 e^2-60 e^3) \log (2) \log (x)+(-16200-8700 e-300 e^2) \log (2) \log ^2(x)+(-1000-500 e) \log (2) \log ^3(x)}{3125 x+3125 x \log (x)+1250 x \log ^2(x)+250 x \log ^3(x)+25 x \log ^4(x)+x \log ^5(x)} \, dx\)
  3.47.68 \(\int e^{3-x} (1-e-x) \, dx\)
  3.47.69 \(\int (2+2 e^{2 x}+2 x+256 x^3+e^x (8+2 x)) \, dx\)
  3.47.70 \(\int (-24 x+(48+24 x) \log (2)) \, dx\)
  3.47.71 \(\int \frac {2 x+(-6+2 e^2-2 x) \log (3-e^2+x)+(-21+e^{4+2 x} (-3+e^2-x)-10 x-x^2+e^2 (7+x)+e^{2+x} (18+e^2 (-6-x)+9 x+x^2)) \log ^2(3-e^2+x)}{(-6+2 e^2-2 x) \log ^2(3-e^2+x)} \, dx\)
  3.47.72 \(\int \frac {1}{x} \, dx\)
  3.47.73 \(\int \frac {25-25 x+e^{2 e^x-2 x} (-5-5 x+12 x^2-2 x^3+e^x (10 x-12 x^2+2 x^3))+(25-55 x+10 x^2+e^{2 e^x-2 x} (-5+11 x-2 x^2)) \log (-\frac {x}{25+e^{2 e^x-2 x} (-5+x)-5 x})}{25+e^{2 e^x-2 x} (-5+x)-5 x} \, dx\)
  3.47.74 \(\int \frac {e^{-2/x} (32 x+e^{2/x} (-8192+48 x)+e^{\frac {1}{x}} (-512+512 x))}{x^3} \, dx\)
  3.47.75 \(\int (-3272+32 x-640 \log (5)-32 \log ^2(5)) \, dx\)
  3.47.76 \(\int \frac {1}{3} (-6-6 x+e^x (1+x)) \, dx\)
  3.47.77 \(\int \frac {-192+64 x+192 \log (\frac {x}{4})}{(225-150 x+25 x^2+e^2 (-90+60 x-10 x^2)+e^4 (9-6 x+x^2)) \log ^2(\frac {x}{4})} \, dx\)
  3.47.78 \(\int \frac {e^{-e^{-\frac {2}{x^2}}+x} (-8 e^{-\frac {2}{x^2}}+2 x^3)}{x^3} \, dx\)
  3.47.79 \(\int \frac {-18 x^2-15 x^3+(90+75 x) \log (4)-8 x^2 \log (\frac {-x^2+5 \log (4)}{\log (4)})+(6 x^2+5 x^3+(-30-25 x) \log (4)) \log ^2(\frac {-x^2+5 \log (4)}{\log (4)})+\log (x) (30 x^3-150 x \log (4)+20 x^3 \log (\frac {-x^2+5 \log (4)}{\log (4)})+(-10 x^3+50 x \log (4)) \log ^2(\frac {-x^2+5 \log (4)}{\log (4)}))}{-5 x^6+25 x^4 \log (4)} \, dx\)
  3.47.80 \(\int (-69+20 x+3 x^2+e^5 (15+2 x)) \, dx\)
  3.47.81 \(\int \frac {(-5+x) x^6 (-250+60 x+(125-30 x) \log (4))}{-5 x^2+x^3} \, dx\)
  3.47.82 \(\int \frac {e^2 (144-288 x+172 x^2-40 x^4+16 x^5-2 x^6)}{1296-3744 x+5296 x^2-4680 x^3+2792 x^4-1144 x^5+313 x^6-52 x^7+4 x^8} \, dx\)
  3.47.83 \(\int \frac {-3 x^2+6 x^3+e^x (2 x^2+6 x^3-2 x^4)+(-6 x^2+e^x (-8 x-4 x^2+4 x^3)) \log (\frac {1}{3} e^{-2 x} (-3 x+e^x (-4-2 x+2 x^2))) \log (\log (\frac {1}{3} e^{-2 x} (-3 x+e^x (-4-2 x+2 x^2))))}{(-3 x+e^x (-4-2 x+2 x^2)) \log (\frac {1}{3} e^{-2 x} (-3 x+e^x (-4-2 x+2 x^2)))} \, dx\)
  3.47.84 \(\int \frac {-2 x^3+2 x^2 \log ^2(2)+(-5 x^2-6 x^3-x^4+(5 x^2+x^3) \log ^2(2)) \log (\frac {3}{5+x})+(10 x^2+2 x^3+(-10 x-2 x^2) \log ^2(2)) \log (\frac {3}{5+x}) \log (-x+\log ^2(2))+(-10 x^2-2 x^3+(10 x+2 x^2) \log ^2(2)) \log (\frac {3}{5+x}) \log (\log ^2(\frac {3}{5+x}))}{(-5 x^3-x^4+(5 x^2+x^3) \log ^2(2)) \log (\frac {3}{5+x})+(10 x^2+2 x^3+(-10 x-2 x^2) \log ^2(2)) \log (\frac {3}{5+x}) \log (-x+\log ^2(2))+(-5 x-x^2+(5+x) \log ^2(2)) \log (\frac {3}{5+x}) \log ^2(-x+\log ^2(2))+((-10 x^2-2 x^3+(10 x+2 x^2) \log ^2(2)) \log (\frac {3}{5+x})+(10 x+2 x^2+(-10-2 x) \log ^2(2)) \log (\frac {3}{5+x}) \log (-x+\log ^2(2))) \log (\log ^2(\frac {3}{5+x}))+(-5 x-x^2+(5+x) \log ^2(2)) \log (\frac {3}{5+x}) \log ^2(\log ^2(\frac {3}{5+x}))} \, dx\)
  3.47.85 \(\int \frac {4-5 x-2 x^2+2 x^3+e^5 (-2+3 x-x^2)+e^2 (-x+x^2)+(-x+x^2) \log (\frac {1}{x^2})}{-x+x^2} \, dx\)
  3.47.86 \(\int \frac {e^{\frac {100 x^2+100 x^3+25 x^4+(100 x^2+50 x^3) \log (49-14 x+x^2)+25 x^2 \log ^2(49-14 x+x^2)}{\log ^2(49-14 x+x^2)}} (-400 x^2-400 x^3-100 x^4+(-1400 x-2100 x^2-500 x^3+100 x^4) \log (49-14 x+x^2)+(-1400 x-850 x^2+150 x^3) \log ^2(49-14 x+x^2)+(-350 x+50 x^2) \log ^3(49-14 x+x^2))}{(21-3 x) \log ^3(49-14 x+x^2)+e^{\frac {100 x^2+100 x^3+25 x^4+(100 x^2+50 x^3) \log (49-14 x+x^2)+25 x^2 \log ^2(49-14 x+x^2)}{\log ^2(49-14 x+x^2)}} (-7+x) \log ^3(49-14 x+x^2)} \, dx\)
  3.47.87 \(\int \frac {-1+(5 x+16 x^2) \log (x) \log (\log (x))}{16 x \log (x) \log (\log (x))} \, dx\)
  3.47.88 \(\int \frac {e^{e^{\log ^2(\frac {-4 e^x+x}{16+12 x})}+\log ^2(\frac {-4 e^x+x}{16+12 x})} (-8+e^x (8+24 x)) \log (\frac {-4 e^x+x}{16+12 x})}{-4 x-3 x^2+e^x (16+12 x)} \, dx\)
  3.47.89 \(\int \frac {-e^{2 x}-2 e^{2 x} x \log (x)}{x} \, dx\)
  3.47.90 \(\int \frac {e^3 (-1-x)-x^2-3 x^3+(-1-x) \log (4)-2 x^2 \log (x)+e^{e^x} (x+2 x^2+e^x x^3+(x+e^x x^2) \log (x))}{x} \, dx\)
  3.47.91 \(\int \frac {1}{125} (-21349+20690 x+9450 x^2-13000 x^3+3125 x^4+(34020-5400 x-25500 x^2+10000 x^3) \log (3)+(-14850-12000 x+11250 x^2) \log ^2(3)+(500+5000 x) \log ^3(3)+625 \log ^4(3)) \, dx\)
  3.47.92 \(\int \frac {1}{3} (42+72 x-18 x^2+e^5 (12 x^2+16 x^3) \log (5)) \, dx\)
  3.47.93 \(\int \frac {-98+68 x-2 x^2-62 x^3+16 x^4-2 x^6}{(49 x-14 x^2+x^3-14 x^4+2 x^5+x^7) \log ^2(e^{-\frac {15-5 x}{-7+x+x^3}} x)} \, dx\)
  3.47.94 \(\int \frac {2 \log ^3(\frac {1}{5 x})+(-4 \log ^3(\frac {1}{5 x})-\log ^4(\frac {1}{5 x})) \log (x)+(6 \log ^2(\frac {1}{5 x})+(-12 \log ^2(\frac {1}{5 x})-4 \log ^3(\frac {1}{5 x})) \log (x)) \log (\frac {\log (x)}{x})+(6 \log (\frac {1}{5 x})+(-12 \log (\frac {1}{5 x})-6 \log ^2(\frac {1}{5 x})) \log (x)) \log ^2(\frac {\log (x)}{x})+(2+(-4-4 \log (\frac {1}{5 x})) \log (x)) \log ^3(\frac {\log (x)}{x})-\log (x) \log ^4(\frac {\log (x)}{x})}{2 x^3 \log (x)} \, dx\)
  3.47.95 \(\int \frac {2-5 x+2 x^2+(2-7 x+5 x^2+3 x^3-4 x^4+x^5) \log (-1+x)+(2-7 x+5 x^2+3 x^3-4 x^4+x^5) \log (x)+((3 x-4 x^2+x^3) \log (-1+x)+(3 x-4 x^2+x^3) \log (x)) \log (x \log (-1+x)+x \log (x))}{(-4 x^2+8 x^3-5 x^4+x^5) \log (-1+x)+(-4 x^2+8 x^3-5 x^4+x^5) \log (x)+((2 x-3 x^2+x^3) \log (-1+x)+(2 x-3 x^2+x^3) \log (x)) \log (x \log (-1+x)+x \log (x))} \, dx\)
  3.47.96 \(\int \frac {500+440 x+32 x^2+(500+40 x) \log (4)+(2500+200 x) \log (x^2)}{25 x} \, dx\)
  3.47.97 \(\int \frac {24-44 x+2 x^2-26 x^4+2 x^5+(20-24 x+4 x^2-5 x^4+x^5) \log (\frac {1}{4} (-4+4 x+x^4))}{-8+8 x+2 x^4} \, dx\)
  3.47.98 \(\int \frac {(4 x+8 x^2+4 x^3) \log (x)+(e^x (-x^2-3 x^3-3 x^4-x^5+(-2 x-6 x^2-6 x^3-2 x^4) \log (2))+(8 x+8 x^2+(16+16 x) \log (2)) \log (x)+(-8 x^2-16 x \log (2)) \log ^2(x)) \log (\frac {1}{2} (x+2 \log (2)))+(2 x+6 x^2+6 x^3+2 x^4+(4 x+8 x^2+4 x^3+(8+16 x+8 x^2) \log (2)+(-4 x^2-4 x^3+(-8 x-8 x^2) \log (2)) \log (x)) \log (\frac {1}{2} (x+2 \log (2)))) \log (\log (\frac {1}{2} (x+2 \log (2))))}{(x^2+3 x^3+3 x^4+x^5+(2 x+6 x^2+6 x^3+2 x^4) \log (2)) \log (\frac {1}{2} (x+2 \log (2)))} \, dx\)
  3.47.99 \(\int \frac {-80+184 x+41 x^2+(-18+38 x+4 x^2) \log (x)+(-1+2 x) \log ^2(x)}{10000+8200 x+2481 x^2+328 x^3+16 x^4+(4000+2440 x+488 x^2+32 x^3) \log (x)+(600+242 x+24 x^2) \log ^2(x)+(40+8 x) \log ^3(x)+\log ^4(x)} \, dx\)
  3.47.100 \(\int \frac {e^{x \log ^{-\frac {2}{3 x}}(50625+e^{20}+e^{15} (-60-4 x)+13500 x+1350 x^2+60 x^3+x^4+e^{10} (1350+180 x+6 x^2)+e^5 (-13500-2700 x-180 x^2-4 x^3))} \log ^{-1-\frac {2}{3 x}}(50625+e^{20}+e^{15} (-60-4 x)+13500 x+1350 x^2+60 x^3+x^4+e^{10} (1350+180 x+6 x^2)+e^5 (-13500-2700 x-180 x^2-4 x^3)) (8 x+(-45 x+3 e^5 x-3 x^2) \log (50625+e^{20}+e^{15} (-60-4 x)+13500 x+1350 x^2+60 x^3+x^4+e^{10} (1350+180 x+6 x^2)+e^5 (-13500-2700 x-180 x^2-4 x^3))+(-30+2 e^5-2 x) \log (50625+e^{20}+e^{15} (-60-4 x)+13500 x+1350 x^2+60 x^3+x^4+e^{10} (1350+180 x+6 x^2)+e^5 (-13500-2700 x-180 x^2-4 x^3)) \log (\log (50625+e^{20}+e^{15} (-60-4 x)+13500 x+1350 x^2+60 x^3+x^4+e^{10} (1350+180 x+6 x^2)+e^5 (-13500-2700 x-180 x^2-4 x^3))))}{-45 x+3 e^5 x-3 x^2} \, dx\)