3.1 Integrals 1 to 100

  3.1.1 \(\int \frac {e^{-\frac {-10+25 x+e^x (-2+5 x)}{60-50 x+50 x^2+e^x (-10 x+10 x^2)}} (720-1400 x+1500 x^2-750 x^3+500 x^4+e^{2 x} (4 x+12 x^2-30 x^3+20 x^4)+e^x (-236 x+300 x^2-300 x^3+200 x^4))}{180-300 x+425 x^2-250 x^3+125 x^4+e^{2 x} (5 x^2-10 x^3+5 x^4)+e^x (-60 x+110 x^2-100 x^3+50 x^4)} \, dx\)
  3.1.2 \(\int \frac {32+60 x+110 x^2+32 x^3+6 x^4+(5 x+5 x^2+5 x^3) \log (x^2+2 x^3+3 x^4+2 x^5+x^6)}{-64 x-96 x^2-100 x^3-36 x^4-4 x^5+(16 x+24 x^2+25 x^3+9 x^4+x^5) \log (x^2+2 x^3+3 x^4+2 x^5+x^6)} \, dx\)
  3.1.3 \(\int \frac {-36 e^x x^3+(-1500-1500 x+e^x (500+500 x)) \log (3-e^x)+(900+e^x (-300-300 x)+900 x) \log (3-e^x) \log (\log (3-e^x))+(-180-180 x+e^x (60+60 x)) \log (3-e^x) \log ^2(\log (3-e^x))+(12+e^x (-4-4 x)+12 x) \log (3-e^x) \log ^3(\log (3-e^x))}{(375 x^3-125 e^x x^3) \log (3-e^x)+(-225 x^3+75 e^x x^3) \log (3-e^x) \log (\log (3-e^x))+(45 x^3-15 e^x x^3) \log (3-e^x) \log ^2(\log (3-e^x))+(-3 x^3+e^x x^3) \log (3-e^x) \log ^3(\log (3-e^x))} \, dx\)
  3.1.4 \(\int \frac {-30+30 x+(8-4 x+12 x^2) \log (3)}{\log (3)} \, dx\)
  3.1.5 \(\int e^{-x} (36+e^x (-1-6 x)+72 x-36 x^2+(36-36 x) \log (x)) \, dx\)
  3.1.6 \(\int \frac {5-4 x-5 e^x x}{5 x} \, dx\)
  3.1.7 \(\int \frac {e^{\frac {2 x^2}{10+7 x+x^2+e^{5+x} (10+2 x)}} (40 x+14 x^2+e^{5+x} (40 x-16 x^2-4 x^3))}{100+140 x+69 x^2+14 x^3+x^4+e^{10+2 x} (100+40 x+4 x^2)+e^{5+x} (200+180 x+48 x^2+4 x^3)} \, dx\)
  3.1.8 \(\int \frac {(-8-3 x) \log ^2(x)+(-4-x) \log ^2(x) \log (4 x^2+x^3)+(-8-2 x+(-8-2 x) \log (x)+(20 x^2+5 x^3) \log ^2(x)) \log ^2(4 x^2+x^3)}{(4 x+x^2) \log ^2(x) \log (4 x^2+x^3)+((8 x+2 x^2) \log (x)+(8 x^2+22 x^3+5 x^4) \log ^2(x)) \log ^2(4 x^2+x^3)} \, dx\)
  3.1.9 \(\int \frac {2400+1176 x+102 x^2-6 x^3+(800+392 x+34 x^2-2 x^3) \log (\frac {x+x^2+(-100-25 x) \log (x)}{100+25 x})}{-4 x^2-5 x^3-x^4+(400 x+200 x^2+25 x^3) \log (x)} \, dx\)
  3.1.10 \(\int \frac {e^2 (-4+x)+2 e^2 \log ^2(x)}{8 x^2+(-32 x+8 x^2) \log (x)+(32-32 x+2 x^2) \log ^2(x)+(32-8 x) \log ^3(x)+8 \log ^4(x)} \, dx\)
  3.1.11 \(\int \frac {24 x+48 x^2+8 x^3+e^x (-4 x-44 x^2-28 x^3-4 x^4)+e^{2 x} (-4 x+10 x^2+12 x^3+2 x^4)+(-40-68 x-12 x^2+e^{2 x} (-15 x-13 x^2-2 x^3)+e^x (20+64 x+32 x^2+4 x^3)) \log (5+x)+\log ^2(x^2) (-4 x+(-5 x-x^2) \log (5+x))+\log (x^2) (4 x+24 x^2+4 x^3+e^x (8 x-10 x^2-12 x^3-2 x^4)+(-20-44 x-8 x^2+e^x (20 x+14 x^2+2 x^3)) \log (5+x))}{5 x^3+x^4+(-10 x^2-2 x^3) \log (5+x)+(5 x+x^2) \log ^2(5+x)} \, dx\)
  3.1.12 \(\int \frac {-3 x \log (x)+(-2+3 x) \log (-2+3 x)}{(-2 x+3 x^2) \log (x) \log (-2+3 x)} \, dx\)
  3.1.13 \(\int \frac {(320 x^2+1280 x^5) \log (x)+(-192 x-64 x^2-64 x^5+(-480 x-160 x^2-160 x^5) \log (x)) \log (3+x+x^4)+(-2000 x^2-8000 x^5) \log (x) \log ^2(3+x+x^4)+(1200 x+400 x^2+400 x^5+(6000 x+2000 x^2+2000 x^5) \log (x)) \log ^3(3+x+x^4)+(-18750 x-6250 x^2-6250 x^5) \log (x) \log ^5(3+x+x^4)+((-64 x^2-256 x^5) \log (x)+(96 x+32 x^2+32 x^5) \log (x) \log (3+x+x^4)+(1200 x^2+4800 x^5) \log (x) \log ^2(3+x+x^4)+(-480 x-160 x^2-160 x^5+(-3600 x-1200 x^2-1200 x^5) \log (x)) \log ^3(3+x+x^4)+(18750 x+6250 x^2+6250 x^5) \log (x) \log ^5(3+x+x^4)) \log (\log (x))+((-240 x^2-960 x^5) \log (x) \log ^2(3+x+x^4)+(48 x+16 x^2+16 x^5+(720 x+240 x^2+240 x^5) \log (x)) \log ^3(3+x+x^4)+(-7500 x-2500 x^2-2500 x^5) \log (x) \log ^5(3+x+x^4)) \log ^2(\log (x))+((16 x^2+64 x^5) \log (x) \log ^2(3+x+x^4)+(-48 x-16 x^2-16 x^5) \log (x) \log ^3(3+x+x^4)+(1500 x+500 x^2+500 x^5) \log (x) \log ^5(3+x+x^4)) \log ^3(\log (x))+(-150 x-50 x^2-50 x^5) \log (x) \log ^5(3+x+x^4) \log ^4(\log (x))+(6 x+2 x^2+2 x^5) \log (x) \log ^5(3+x+x^4) \log ^5(\log (x))}{(-9375-3125 x-3125 x^4) \log (x) \log ^5(3+x+x^4)+(9375+3125 x+3125 x^4) \log (x) \log ^5(3+x+x^4) \log (\log (x))+(-3750-1250 x-1250 x^4) \log (x) \log ^5(3+x+x^4) \log ^2(\log (x))+(750+250 x+250 x^4) \log (x) \log ^5(3+x+x^4) \log ^3(\log (x))+(-75-25 x-25 x^4) \log (x) \log ^5(3+x+x^4) \log ^4(\log (x))+(3+x+x^4) \log (x) \log ^5(3+x+x^4) \log ^5(\log (x))} \, dx\)
  3.1.14 \(\int \frac {8 x+15 x^3+2 x^5+e^{5 x} (-2 x^2-2 x^3-4 x^4-4 x^5)+e^{4 x} (-6 x^3-6 x^4-12 x^5-12 x^6)+e^x (8 x-3 x^2+16 x^3+10 x^4+8 x^6)+e^{3 x} (-1+4 x+2 x^2+8 x^3-6 x^4-6 x^5-12 x^6-12 x^7)+e^{2 x} (-3 x+4 x^2+10 x^3+8 x^4+6 x^5-2 x^6-4 x^7-4 x^8)}{x^4+2 x^6+e^{3 x} (x+2 x^3)+e^{2 x} (3 x^2+6 x^4)+e^x (3 x^3+6 x^5)} \, dx\)
  3.1.15 \(\int \frac {40+15 x-7 x^2+e^{4+x^2} (-24+12 x^2-12 x^3-4 x^5-6 x^6-2 x^7)}{1024+3840 x+7040 x^2+8160 x^3+6580 x^4+3843 x^5+1645 x^6+510 x^7+110 x^8+15 x^9+x^{10}} \, dx\)
  3.1.16 \(\int \frac {648+8 e^8-8 x^2}{6561+e^{16}+4 e^{12} x+162 x^2+x^4+e^8 (162+6 x^2)+e^4 (324 x+4 x^3)} \, dx\)
  3.1.17 \(\int (6+2 x+e^{2-x} (1-x) \log (2)) \, dx\)
  3.1.18 \(\int (-1119744+(-1119744-1306368 x) \log (x)+(-1306368 x-653184 x^2) \log ^2(x)+(-653184 x^2-181440 x^3) \log ^3(x)+(-181440 x^3-30240 x^4) \log ^4(x)+(-30240 x^4-3024 x^5) \log ^5(x)+(-3024 x^5-168 x^6) \log ^6(x)+(-168 x^6-4 x^7) \log ^7(x)-4 x^7 \log ^8(x)) \, dx\)
  3.1.19 \(\int \frac {e^{3 x} (12-80 x+72 x^2-16 x^3+(12-8 x) \log (4))+e^{2 x} (24-328 x+440 x^2-160 x^3+16 x^4+(52-80 x+16 x^2) \log (4)+4 \log ^2(4))+e^x (-288 x+576 x^2-256 x^3+32 x^4+(48-128 x+32 x^2) \log (4)+8 \log ^2(4))}{-1728 x^3+1728 x^4-576 x^5+64 x^6+(864 x^2-576 x^3+96 x^4) \log (4)+(-144 x+48 x^2) \log ^2(4)+8 \log ^3(4)+e^{3 x} (-216 x^3+216 x^4-72 x^5+8 x^6+(108 x^2-72 x^3+12 x^4) \log (4)+(-18 x+6 x^2) \log ^2(4)+\log ^3(4))+e^{2 x} (-1296 x^3+1296 x^4-432 x^5+48 x^6+(648 x^2-432 x^3+72 x^4) \log (4)+(-108 x+36 x^2) \log ^2(4)+6 \log ^3(4))+e^x (-2592 x^3+2592 x^4-864 x^5+96 x^6+(1296 x^2-864 x^3+144 x^4) \log (4)+(-216 x+72 x^2) \log ^2(4)+12 \log ^3(4))} \, dx\)
  3.1.20 \(\int \frac {e^{2 e^x-x} (2-6 x+6 x^2-6 x^3+3 x^4-x^5+e^x (-4+12 x-12 x^2+4 x^3-2 x^4+2 x^5))}{-6+18 x-18 x^2+6 x^3} \, dx\)
  3.1.21 \(\int \frac {e^2 (100+40 x+4 x^2)+e^2 (100+40 x+4 x^2) \log (x)+(20 x^3-4 e^5 x^3) \log ^3(x)}{e^2 (-25 x-10 x^2-x^3) \log (x)+(10 x^4+2 x^5+e^5 (10 x^3+2 x^4)) \log ^3(x)} \, dx\)
  3.1.22 \(\int (1+5 e^x+6 x-3 x^2) \, dx\)
  3.1.23 \(\int \frac {-20 e^{2+\frac {5}{-2+e^2 x^4}} x^4+(-4+4 e^2 x^4-e^4 x^8+e^{\frac {5}{-2+e^2 x^4}} (4-4 e^2 x^4+e^4 x^8)) \log (-1+e^{\frac {5}{-2+e^2 x^4}})}{-4+4 e^2 x^4-e^4 x^8+e^{\frac {5}{-2+e^2 x^4}} (4-4 e^2 x^4+e^4 x^8)} \, dx\)
  3.1.24 \(\int \frac {e^{\frac {2 x^2-x^6+x^2 \log (x)}{2+5 x+2 x^2}} (10 x+15 x^2+2 x^3-12 x^5-25 x^6-8 x^7+(4 x+5 x^2) \log (x))}{4+20 x+33 x^2+20 x^3+4 x^4} \, dx\)
  3.1.25 \(\int \frac {108}{(-160-68 x+11 x^2) \log (\frac {e^{e^4} (80-10 x)}{20+11 x})} \, dx\)
  3.1.26 \(\int -\frac {50 x^4}{-10-e+e^2} \, dx\)
  3.1.27 \(\int (12+e^{2 (x-4 x^2)} (2-16 x)+50 x+12 x^2+16 x^3+e^{x-4 x^2} (14-86 x-12 x^2-32 x^3)) \, dx\)
  3.1.28 \(\int \frac {5-x+x^2}{x^2} \, dx\)
  3.1.29 \(\int \frac {3+x+5 x^2+(30 x+10 x^2) \log (6+2 x)}{3 x+x^2+(15 x^2+5 x^3) \log (6+2 x)} \, dx\)
  3.1.30 \(\int \frac {1+2 x+(1+x+2 x^2+2 x^3) \log ((x+x^2) \log (4))}{(x+x^2) \log ((x+x^2) \log (4))} \, dx\)
  3.1.31 \(\int \frac {-18+3 x^3+2 e^x x^2 \log (5 x)+e^x x^3 \log ^2(5 x)}{x^3} \, dx\)
  3.1.32 \(\int e^{10 x^2+x^3-e^{x^2} x^4} (20 x+3 x^2+e^{x^2} (-4 x^3-2 x^5)) \, dx\)
  3.1.33 \(\int \frac {e^{\frac {-x^2+6 x^3+6 x^4+x^5}{-9+6 x+6 x^2+x^3}} (18 x-168 x^2-144 x^3+100 x^4+96 x^5+24 x^6+2 x^7)}{81-108 x-72 x^2+54 x^3+48 x^4+12 x^5+x^6} \, dx\)
  3.1.34 \(\int \frac {e^{e^{-\frac {2 x^2}{-2+6 x}}-\frac {2 x^2}{-2+6 x}} (-2 x+3 x^2)}{1-6 x+9 x^2} \, dx\)
  3.1.35 \(\int (2 x+e^x (-91-95 x-2 x^2)) \, dx\)
  3.1.36 \(\int 9765625 e^{22 x-64 x^2+48 x^3-16 x^4+2 x^5} x^9 (5+11 x-64 x^2+72 x^3-32 x^4+5 x^5) \, dx\)
  3.1.37 \(\int \frac {-20 x+364 x^2-288 x^4+72 x^6-6 x^8+(-20-20 x-576 x^3+288 x^5-36 x^7) \log (x)+(-288 x^2+432 x^4-90 x^6) \log ^2(x)+(288 x^3-120 x^5) \log ^3(x)+(72 x^2-90 x^4) \log ^4(x)-36 x^3 \log ^5(x)-6 x^2 \log ^6(x)}{-192 x+144 x^3-36 x^5+3 x^7+(288 x^2-144 x^4+18 x^6) \log (x)+(144 x-216 x^3+45 x^5) \log ^2(x)+(-144 x^2+60 x^4) \log ^3(x)+(-36 x+45 x^3) \log ^4(x)+18 x^2 \log ^5(x)+3 x \log ^6(x)} \, dx\)
  3.1.38 \(\int \frac {-x^3 \log (x)+8 e^{e^x+x} x^3 \log (x)+8 e^{2 e^x+x} x^3 \log (x)+(x^2-x^3+(-2 x^2+2 x^3) \log (x)+e^{e^x} (8 x^2-16 x^2 \log (x))+e^{2 e^x} (4 x^2-8 x^2 \log (x))) \log (\frac {1}{4} (-1-8 e^{e^x}-4 e^{2 e^x}+x))+(2+16 e^{e^x}+8 e^{2 e^x}-2 x) \log ^2(\frac {1}{4} (-1-8 e^{e^x}-4 e^{2 e^x}+x))}{x^5+8 e^{e^x} x^5+4 e^{2 e^x} x^5-x^6+(4 x^3+32 e^{e^x} x^3+16 e^{2 e^x} x^3-4 x^4) \log (\frac {1}{4} (-1-8 e^{e^x}-4 e^{2 e^x}+x))+(4 x+32 e^{e^x} x+16 e^{2 e^x} x-4 x^2) \log ^2(\frac {1}{4} (-1-8 e^{e^x}-4 e^{2 e^x}+x))} \, dx\)
  3.1.39 \(\int \frac {25 x-1249 x^2-99 x^3-102 x^4-4 x^5-2 x^6+e^{3 x} (625 x+50 x^2+51 x^3+2 x^4+x^5)+e^{2 x} (-1250-100 x+1148 x^2+96 x^3+100 x^4+4 x^5+2 x^6)+e^x (25-2499 x-199 x^2+421 x^3+42 x^4+47 x^5+2 x^6+x^7)+(-25 x-2 x^2-3 x^3+e^x (-26 x-3 x^2-x^3)) \log (x)}{625 x^3+50 x^4+51 x^5+2 x^6+x^7+e^{2 x} (625 x+50 x^2+51 x^3+2 x^4+x^5)+e^x (1250 x^2+100 x^3+102 x^4+4 x^5+2 x^6)} \, dx\)
  3.1.40 \(\int \frac {-92 x^2-92 x \log (x)+(575+92 x+(-575-92 x) \log (x)) \log (25+4 x)}{(100 x^2+16 x^3) \log ^2(25+4 x)} \, dx\)
  3.1.41 \(\int \frac {e^{-e^2-e^3-\frac {1}{4} e^{-e^2-e^3} x} (4 e^{e^2+e^3}+(-4 e^{e^2+e^3}-x) \log (5 x))}{4 x^2} \, dx\)
  3.1.42 \(\int e^{-17+e^{\frac {6 x+e^{17} (-5+4 x+x^2)}{e^{17}}}+\frac {6 x+e^{17} (-5+4 x+x^2)}{e^{17}}} (6+e^{17} (4+2 x)) \, dx\)
  3.1.43 \(\int 90 e^{9 e^{10 x}+10 x} \, dx\)
  3.1.44 \(\int \frac {-5+7 x+8 x^2-4 x^3+(-6-2 x+8 x^2-8 x^3) \log (x)}{1-4 x+4 x^2} \, dx\)
  3.1.45 \(\int \frac {-6 x^2-2 x^3+(-12-10 x+8 x^2) \log (2-x)}{(-6 x^2+x^3+x^4) \log (2-x)} \, dx\)
  3.1.46 \(\int \frac {34-2 e^{4/3}+2 \log (2)}{1+4 x+4 x^2} \, dx\)
  3.1.47 \(\int \frac {20-4 x-27 x^2+8 x^3+(4-7 x^2+2 x^3) \log (x)}{16 x-16 x^2+4 x^3+(4 x-4 x^2+x^3) \log (x)} \, dx\)
  3.1.48 \(\int \frac {15-15 e^4-20 e x+e^{x^2} (-3-6 x^2+e^4 (3+6 x^2)+e (4 x+4 x^3))}{e} \, dx\)
  3.1.49 \(\int \frac {-2 e^{e^{x-x^2}}+e^{x-x^2} (-5 x+10 x^2)+e^{e^{x-x^2}} \log (\frac {2 e^{-5 e^{-e^{x-x^2}}} x^2}{\log (\log (2))})}{e^{e^{x-x^2}} x^2+2 e^{e^{x-x^2}} x \log (\frac {2 e^{-5 e^{-e^{x-x^2}}} x^2}{\log (\log (2))})+e^{e^{x-x^2}} \log ^2(\frac {2 e^{-5 e^{-e^{x-x^2}}} x^2}{\log (\log (2))})} \, dx\)
  3.1.50 \(\int (36+720 x^4+405 e^6 x^4-432 x^5+63 x^6+e^3 (-1080 x^4+324 x^5)) \, dx\)
  3.1.51 \(\int \frac {e^{-1+x} (15625-15625 x)+(-31250 e^{-1+x}-31250 x) \log (\frac {x}{e^{-1+x}+x})}{e^{-1+x} x^3+x^4} \, dx\)
  3.1.52 \(\int \frac {-160 x^2-240 x^3 \log (5)+(2-80 x^4) \log ^2(5)}{x \log ^2(5)} \, dx\)
  3.1.53 \(\int \frac {e^3 (-16-4 x)+(-4 e^3 x+35 \log (3)) \log (\frac {-4 e^3 x+35 \log (3)}{\log (3)}) \log (\log (\frac {-4 e^3 x+35 \log (3)}{\log (3)}))}{(e^3 (-16 x-4 x^2)+(140+35 x) \log (3)) \log (\frac {-4 e^3 x+35 \log (3)}{\log (3)}) \log (\log (\frac {-4 e^3 x+35 \log (3)}{\log (3)}))} \, dx\)
  3.1.54 \(\int \frac {5+e^{2 e^{2 x} (1-e^3)+2 x-2 e^3 x} (2-2 e^3+e^{2 x} (4-4 e^3))}{-9+e^{2 e^{2 x} (1-e^3)+2 x-2 e^3 x}+5 x} \, dx\)
  3.1.55 \(\int \frac {90-60 e^3+10 e^6-10 x+(-2+10 x) \log (\frac {1}{5} (-1+5 x))+(-1+5 x) \log ^2(\frac {1}{5} (-1+5 x))}{(-1+5 x) \log ^2(\frac {1}{5} (-1+5 x))} \, dx\)
  3.1.56 \(\int \frac {e^x (1+4 \log (2)+6 \log ^2(2)+4 \log ^3(2)+\log ^4(2))+128 x^7 \log ^8(4)}{e^x (1+4 \log (2)+6 \log ^2(2)+4 \log ^3(2)+\log ^4(2))+16 x^8 \log ^8(4)} \, dx\)
  3.1.57 \(\int \frac {-3 x^2-6 x^3-3 x^4-2 x^3 \log (2)+(-3+6 x+13 x^2+6 x^3+4 x^2 \log (2)) \log (4)+(-3-8 x-3 x^2-2 x \log (2)) \log ^2(4)+e^x (3 x^2+2 x^3+x^4+(-6 x-4 x^2-2 x^3) \log (4)+(3+2 x+x^2) \log ^2(4))}{x^2-2 x \log (4)+\log ^2(4)} \, dx\)
  3.1.58 \(\int \frac {-270 x^2-54 e^x x^2+(405 x^2+e^x (81 x^2-27 x^3)) \log (x)+(25+10 e^x+e^{2 x}) \log ^3(x)}{(25+10 e^x+e^{2 x}) \log ^3(x)} \, dx\)
  3.1.59 \(\int \frac {-48-40 x^2+96 x^4-40 x^6+14 x^8}{24 x+x^2-20 x^3+16 x^5-4 x^7+x^9} \, dx\)
  3.1.60 \(\int \frac {2 x-12 e x^2-12 x^3+(-3 e-3 x) \log (e^2+2 e x+x^2)}{12 e x^3+12 x^4+(e x+x^2) \log (e^2+2 e x+x^2)} \, dx\)
  3.1.61 \(\int \frac {1}{81} (-9720-81 e^x+e (3240-900 x)+e^5 (3240-900 x)+15660 x-5400 x^2+500 x^3) \, dx\)
  3.1.62 \(\int \frac {1}{3} (-2+2 e^{5/3}+2 x) \, dx\)
  3.1.63 \(\int \frac {(-5-2 x) \log (4)+(-7-4 x) \log (4) \log (x)-\log (4) \log ^2(x)}{(25 x^2+20 x^3+4 x^4) \log ^2(x)+(10 x^2+4 x^3) \log ^3(x)+x^2 \log ^4(x)} \, dx\)
  3.1.64 \(\int \frac {50+25 x-50 x \log (x) \log (\log (x))}{(32 x+48 x^2+24 x^3+4 x^4) \log (25) \log (x)} \, dx\)
  3.1.65 \(\int \frac {4 e^x x^3-8 e^{\frac {1}{x^2}} \log ^2(2)}{(-15 e^x x^3-15 e^{\frac {1}{x^2}} x^3 \log ^2(2)+(e^x x^3+e^{\frac {1}{x^2}} x^3 \log ^2(2)) \log (\frac {e^x+e^{\frac {1}{x^2}} \log ^2(2)}{\log ^2(2)})) \log (-15+\log (\frac {e^x+e^{\frac {1}{x^2}} \log ^2(2)}{\log ^2(2)}))} \, dx\)
  3.1.66 \(\int \frac {-2-8 x-6 x^8+2 \log (x^2)}{-8 x^2+4 x^3+x^9+x \log (x^2)} \, dx\)
  3.1.67 \(\int \frac {-78 x^3+36 x^4-3 x^5+e^{\frac {2 (5+3 x^2)}{3 x}} (-45 x+30 x^2-3 x^3)+e^{\frac {5+3 x^2}{3 x}} (-50-30 x-90 x^2+66 x^3-6 x^4)}{768 x^3-672 x^4+243 x^5-42 x^6+3 x^7+e^{\frac {2 (5+3 x^2)}{3 x}} (675 x-540 x^2+198 x^3-36 x^4+3 x^5)+e^{\frac {5+3 x^2}{3 x}} (1440 x^2-1206 x^3+438 x^4-78 x^5+6 x^6)} \, dx\)
  3.1.68 \(\int \frac {-30 x-2 x^3+e (10 x+x^3)+(6+e (-2-10 x)+30 x) \log (x)+(-6+2 e) \log ^2(x)}{8 x^3} \, dx\)
  3.1.69 \(\int \frac {-43+40 x-10 x^2}{12-12 x+3 x^2} \, dx\)
  3.1.70 \(\int \frac {e^{-125/x} (2 x-e^{125/x} x+(250+2 x-e^{125/x} x) \log (x))}{x} \, dx\)
  3.1.71 \(\int \frac {1}{6} (-24+e^{\frac {1}{6} (-14 x^2+7 x^3)} (-28 x+21 x^2) (i \pi +\log (2-\log (2)))) \, dx\)
  3.1.72 \(\int \frac {-147+7308 x-10311 x^2+5733 x^3-1470 x^4+147 x^5+(-105 x+42 x^2) \log (\frac {x}{3})}{2160900 x-3231060 x^2+1928101 x^3-559090 x^4+75411 x^5-3430 x^6+49 x^7+(2940 x-2198 x^2+490 x^3-14 x^4) \log (\frac {x}{3})+x \log ^2(\frac {x}{3})} \, dx\)
  3.1.73 \(\int \frac {e (-12+72 x-144 x^2+240 x^3+144 x^4)+e (-16+84 x-192 x^2+128 x^3+96 x^4) \log (2)+e (-5+28 x-48 x^2+16 x^3+16 x^4) \log ^2(2)}{8+24 x+24 x^2+8 x^3} \, dx\)
  3.1.74 \(\int \frac {e^{\frac {x^3}{8 e^3 x^2+e^5 x^3+e^x (8 e^3+e^5 x)}} (128 e^6 x^4+16 e^3 x^5+32 e^8 x^5+2 e^{10} x^6+e^{2 x} (128 e^6+32 e^8 x+2 e^{10} x^2)+e^x (256 e^6 x^2+4 e^{10} x^4+e^3 (48 x^3-16 x^4)+e^5 (64 e^3 x^3+4 x^4-2 x^5)))}{64 e^6 x^4+16 e^8 x^5+e^{10} x^6+e^{2 x} (64 e^6+16 e^8 x+e^{10} x^2)+e^x (128 e^6 x^2+32 e^8 x^3+2 e^{10} x^4)} \, dx\)
  3.1.75 \(\int \frac {-3+x^2}{x^2} \, dx\)
  3.1.76 \(\int \frac {e^5 (-432 e x^2-64 e^2 x^6)+288 e^6 x^2 \log (2)-48 e^6 x^2 \log ^2(2)}{81-72 e x^4+16 e^2 x^8+(-108+48 e x^4) \log (2)+(54-8 e x^4) \log ^2(2)-12 \log ^3(2)+\log ^4(2)} \, dx\)
  3.1.77 \(\int \frac {-2 x+e^x (-10 x+10 x^2)+e^{2 x} (25-25 x+50 x^2)}{x-10 e^x x^2+e^{2 x} (50 x-25 x^2+25 x^3+25 x \log (4))+25 e^{2 x} x \log (2 x)} \, dx\)
  3.1.78 \(\int \frac {-4 x-\log (x)}{6 x} \, dx\)
  3.1.79 \(\int \frac {1}{3} (-5-e^3-7 x^2+(-3-3 x^2) \log (x)) \, dx\)
  3.1.80 \(\int \frac {69 x-141 x^2-135 x^3-315 x^4+135 x^5+(300-75 x-1800 x^3+450 x^4) \log (4-x)+(-38 x+2 x^2+(-160+40 x) \log (4-x)) \log (x)+(5 x+(20-5 x) \log (4-x)) \log ^2(x)}{-180 x^2+45 x^3} \, dx\)
  3.1.81 \(\int \frac {e^{3 x} (2 x-x^2)+e^{2 x} (-x+625 x^2)+e^x (x^2+x^3)+2 e^{2 x} x \log (x)}{e^{4 x}+1250 e^{3 x} x+x^2+1250 e^x x^2+e^{2 x} (2 x+390625 x^2)+(2 e^{3 x}+2 e^x x+1250 e^{2 x} x) \log (x)+e^{2 x} \log ^2(x)} \, dx\)
  3.1.82 \(\int \frac {e^{\frac {e^x (-1+x)+x-x^2-x \log (\frac {x^2}{3})+x \log (1-x^2)}{\log (\frac {x^2}{3})-\log (1-x^2)}} (2 e^x-2 x+(-1-2 x-x^2) \log ^2(\frac {x^2}{3})+(-x+x^2+2 x^3+e^x (-x^2-x^3)) \log (1-x^2)+(-1-2 x-x^2) \log ^2(1-x^2)+\log (\frac {x^2}{3}) (x-x^2-2 x^3+e^x (x^2+x^3)+(2+4 x+2 x^2) \log (1-x^2)))}{(x^2+x^3) \log ^2(\frac {x^2}{3})+(-2 x^2-2 x^3) \log (\frac {x^2}{3}) \log (1-x^2)+(x^2+x^3) \log ^2(1-x^2)} \, dx\)
  3.1.83 \(\int \frac {5 x-15 x^2+x^3+e^2 (-5+10 x-x^2)}{5 e^2 x^2-5 x^3} \, dx\)
  3.1.84 \(\int \frac {e^x x^2-4 x^3+e^{\frac {x^2+x^3-2 x \log (3)+\log ^2(3)}{x}} (-x^2-2 x^3+\log ^2(3))}{x^2} \, dx\)
  3.1.85 \(\int \frac {20 x+(3+x^2) \log (3+x^2)}{(-96+3 x-32 x^2+x^3-(-30-10 x^2) \log (\frac {4}{3})) \log (3+x^2)+(30+10 x^2) \log (3+x^2) \log (\log (3+x^2))} \, dx\)
  3.1.86 \(\int \frac {e^{\frac {18}{2 x^2+x^2 \log (x)}} (-90+4 x^2+(-36+4 x^2) \log (x)+x^2 \log ^2(x))}{4 x^2+4 x^2 \log (x)+x^2 \log ^2(x)} \, dx\)
  3.1.87 \(\int (308+44 e^{4/3}+968 x+e^x (14+102 x+44 x^2+e^{4/3} (2+2 x)) \log (5)+e^{2 x} (2 x+2 x^2) \log ^2(5)) \, dx\)
  3.1.88 \(\int \frac {12+71 e^{25/4}+\log (2)}{e^{25/2}-2 e^{25/4} x+x^2} \, dx\)
  3.1.89 \(\int \frac {e^{14 x/5} (-360-165 x-15 x^2)+(45 x+15 x^2+e^{14 x/5} (888 x+447 x^2+42 x^3)) \log (x)+(-360-165 x-15 x^2+(-120 x-15 x^2) \log (x)) \log (8+x)}{(360 x+285 x^2+70 x^3+5 x^4) \log ^2(x)} \, dx\)
  3.1.90 \(\int \frac {1}{2} (-e^{e^4}+2 e^{8+4 x}+2 x) \, dx\)
  3.1.91 \(\int \frac {9-21 x+6 x^2+(3-6 x) \log (4)+(-9+9 x+(-3+3 x) \log (4)) \log (-x+x^2)+(-9+15 x-7 x^2+x^3+(-6+8 x-2 x^2) \log (4)+(-1+x) \log ^2(4)) \log ^2(-x+x^2)}{(-9+15 x-7 x^2+x^3+(-6+8 x-2 x^2) \log (4)+(-1+x) \log ^2(4)) \log ^2(-x+x^2)} \, dx\)
  3.1.92 \(\int \frac {-75 x^3-75 x^4+(300 e^5 x^3-300 x^4-300 x^3 \log (x)) \log (-e^5+x+\log (x))}{-9 e^5+9 x+9 \log (x)+(-30 e^5 x^4+30 x^5+30 x^4 \log (x)) \log (-e^5+x+\log (x))+(-25 e^5 x^8+25 x^9+25 x^8 \log (x)) \log ^2(-e^5+x+\log (x))} \, dx\)
  3.1.93 \(\int \frac {-5+2 x^2-5 e^{1+5 x} x^2+2 x^3}{x^2} \, dx\)
  3.1.94 \(\int \frac {72 x (i \pi +\log (-4+4 e^5))^2+((-288 x^2-18 x^3) (i \pi +\log (-4+4 e^5))+144 x (i \pi +\log (-4+4 e^5))^2 \log (x)) \log (\log (x))+(-864 x^2-36 x^3) (i \pi +\log (-4+4 e^5)) \log (x) \log ^2(\log (x))+(1152 x^3+72 x^4) \log (x) \log ^3(\log (x))}{-(i \pi +\log (-4+4 e^5))^3 \log (x)+12 x (i \pi +\log (-4+4 e^5))^2 \log (x) \log (\log (x))-48 x^2 (i \pi +\log (-4+4 e^5)) \log (x) \log ^2(\log (x))+64 x^3 \log (x) \log ^3(\log (x))} \, dx\)
  3.1.95 \(\int \frac {e^{\frac {-x+(5+x^3) \log (e^{e^{6 x}} x)}{\log (e^{e^{6 x}} x)}} (1+6 e^{6 x} x-\log (e^{e^{6 x}} x)+3 x^2 \log ^2(e^{e^{6 x}} x))}{\log ^2(e^{e^{6 x}} x)} \, dx\)
  3.1.96 \(\int \frac {e^{-e^x+e^{-e^x+2 x} x (-2 x+x^2) \log ^4(2)} (-2 x+x^2) (e^{3 x} (2 x-x^2) \log ^4(2)+e^{2 x} (-4-x+2 x^2) \log ^4(2))}{-2+x} \, dx\)
  3.1.97 \(\int \frac {-1+3 x-x \log (x)}{-3 x+x \log (x)} \, dx\)
  3.1.98 \(\int \frac {e^{\frac {-e^5-720 x^3+160 x^4+160 x^3 \log (x)}{16 x^3}} (3 e^5+160 x^3+160 x^4)}{16 x^4} \, dx\)
  3.1.99 \(\int \frac {100-105 x+31 x^2+3 e^{2 x} x^2+e^x (-30 x+24 x^2-x^3)+(30 x-19 x^2-6 e^x x^2) \log (x)+3 x^2 \log ^2(x)}{75+10 x-83 x^2+30 x^3+e^{2 x} (3 x^2+3 x^3)+e^x (-30 x-17 x^2+19 x^3)+(30 x+17 x^2-19 x^3+e^x (-6 x^2-6 x^3)) \log (x)+(3 x^2+3 x^3) \log ^2(x)} \, dx\)
  3.1.100 \(\int \frac {e-9 e^{6562-2 x}+(-e+e^{6562-2 x} (9-18 x)) \log (x)+\log ^2(x)}{\log ^2(x)} \, dx\)