3.4 Integrals 301 to 400

  3.4.1 \(\int \frac {-10-10 x+10 \log (2 x)+(2-2 x-2 x^2-2 x^3+2 x^2 \log (2 x)) \log (4 x)}{(-x-x^2+x \log (2 x)) \log (4 x)} \, dx\)
  3.4.2 \(\int (-16-6 x+(-16-8 x) \log (4 e^x)-4 \log ^2(4 e^x)) \, dx\)
  3.4.3 \(\int \frac {-25 e^5+25 e^{\frac {2}{25} (625-50 x+x^2)}+e^{5+\frac {1}{25} (625-50 x+x^2)} (50 x-2 x^2)-50 e^{\frac {1}{25} (625-50 x+x^2)} \log (\frac {2}{x})+25 \log ^2(\frac {2}{x})}{25 e^{5+\frac {1}{25} (625-50 x+x^2)} x-25 e^5 x \log (\frac {2}{x})+(25 e^{\frac {2}{25} (625-50 x+x^2)} x-50 e^{\frac {1}{25} (625-50 x+x^2)} x \log (\frac {2}{x})+25 x \log ^2(\frac {2}{x})) \log (x)} \, dx\)
  3.4.4 \(\int \frac {e^{-16/x} (x-x^2+(16+16 e^5-16 x-x^2) \log (\frac {1}{5 x})+(-16+16 x+x^2) \log (\frac {1}{5 x}) \log (\log (\frac {1}{5 x})))}{x^2 \log (\frac {1}{5 x})} \, dx\)
  3.4.5 \(\int \frac {e^{e^{\frac {-5 x^2-x^3}{32-8 x^2+8 x^3}} (-1+x)+x-x^2} (64-128 x-32 x^2+96 x^3-60 x^4-16 x^5+20 x^6-8 x^7+e^{\frac {-5 x^2-x^3}{32-8 x^2+8 x^3}} (64+20 x-46 x^2+26 x^3+x^4-5 x^5+4 x^6))}{64-32 x^2+32 x^3+4 x^4-8 x^5+4 x^6} \, dx\)
  3.4.6 \(\int \frac {20480000 e^{e^5-4 x}}{-27+e^{3 e^5-12 x}-9 e^{2 e^5-8 x}+27 e^{e^5-4 x}} \, dx\)
  3.4.7 \(\int \frac {e^3 (-3+5 x-x^2)+e^6 (-12+20 x-4 x^2) \log (x)+(e^6 (-12 x+4 x^2)+e^6 (12-4 x) \log (3 x-x^2)) \log (-x+\log (3 x-x^2))}{30 x^2-10 x^3+(-30 x+10 x^2) \log (3 x-x^2)+\log (x) (e^3 (240 x^2-80 x^3)+e^3 (-240 x+80 x^2) \log (3 x-x^2))+\log ^2(x) (e^6 (480 x^2-160 x^3)+e^6 (-480 x+160 x^2) \log (3 x-x^2))} \, dx\)
  3.4.8 \(\int \frac {1}{16} (48+32 e^{2 x}+48 x+x^3+e^x (-192-8 x-4 x^2)+16 \log (4)) \, dx\)
  3.4.9 \(\int \frac {x^3+e^x (-56 x+56 x^2-27 x^3-14 x^4)+e^{2 x} (32-40 x+16 x^2+12 x^3-6 x^4-2 x^5)}{2 x^3} \, dx\)
  3.4.10 \(\int \frac {(x+e^{1-x} x-2 x^2) \log (x)+(-2-2 e^{1-x}) \log ^2(x)+8 \log ^3(x)+(-x-e^{1-x} x+2 x^2+(-2 x^2-e^{1-x} x^2) \log (x)+(1+e^{1-x}-2 x) \log ^2(x)+(2 x+e^{1-x} x) \log ^3(x)) \log (-x+\log ^2(x))}{((x^2+e^{1-x} x^2-2 x^3) \log (x)-4 x^2 \log ^2(x)+(-x-e^{1-x} x+2 x^2) \log ^3(x)+4 x \log ^4(x)) \log (-x+\log ^2(x))} \, dx\)
  3.4.11 \(\int \frac {40 x^4+96 x^5+32 x^6-40 x^7-6 x^8+4 x^9+e^{x/3} (18+22 x-17 x^2+x^3)}{8 x^4+16 x^5-8 x^7+2 x^8} \, dx\)
  3.4.12 \(\int \frac {5-\log (5)}{10 x^2} \, dx\)
  3.4.13 \(\int \frac {-14-4 x^2+4 \log (5)-\log (x)}{4 x^2} \, dx\)
  3.4.14 \(\int \frac {1}{8} e^{-x} (16+e^x (-21-16 x)-16 x) \, dx\)
  3.4.15 \(\int \frac {(-7 x+\frac {1}{9} e^{5+2 x} x+e^5 (24 x-10 x^2+x^3)+\frac {1}{3} e^x (x+x^2+e^5 (11 x-2 x^2))) \log ^2(x)+e^{\frac {4}{\log (x)}} (-\frac {4 e^{5+x}}{3}+e^5 (-20+4 x)+(e^5 x-\frac {1}{3} e^{5+x} x) \log ^2(x))}{(\frac {1}{9} e^{5+2 x} x+\frac {1}{3} e^{5+x} (10 x-2 x^2)+e^5 (25 x-10 x^2+x^3)) \log ^2(x)} \, dx\)
  3.4.16 \(\int \frac {1-x+e^x (2 x-2 x^2)+e^{2 x} (-2 x+2 x^3)+(-2 x+2 x^2+e^x (4 x-2 x^2-2 x^3)) \log (x)+(-2 x+2 x^2) \log ^2(x)+(x-e^{2 x} x^2+2 e^x x^2 \log (x)-x^2 \log ^2(x)) \log (-x+e^{2 x} x^2-2 e^x x^2 \log (x)+x^2 \log ^2(x))}{-x+2 x^2-x^3+e^{2 x} (x^2-2 x^3+x^4)+e^x (-2 x^2+4 x^3-2 x^4) \log (x)+(x^2-2 x^3+x^4) \log ^2(x)} \, dx\)
  3.4.17 \(\int \frac {e^{-x+\frac {e^{-x} (-4 x^3 \log (3)+e^x (12+9 x^2) \log (3)-4 e^x x \log (3) \log (\frac {4}{x}))}{3 x^2}} (e^x (-24+4 x) \log (3)+(-4 x^3+4 x^4) \log (3)+4 e^x x \log (3) \log (\frac {4}{x}))}{3 x^3} \, dx\)
  3.4.18 \(\int e^{-x} (4 e^{4 e^{-x}}+3 e^x) \, dx\)
  3.4.19 \(\int (-2-12 x) \, dx\)
  3.4.20 \(\int \frac {274848547600-4294737920 x+25165376 x^2-65536 x^3+64 x^4+e^{\frac {131067 x-1024 x^2+2 x^3}{131065-1024 x+2 x^2}} (17178296355 x-268421120 x^2+1572832 x^3-4096 x^4+4 x^5)}{17178034225 x-268421120 x^2+1572836 x^3-4096 x^4+4 x^5} \, dx\)
  3.4.21 \(\int \frac {-4-7 x-4 x^2-60 x^4-x^5+6 x^6+(2+x+16 x^4-5 x^5) \log (x)}{x} \, dx\)
  3.4.22 \(\int \frac {112+49 x+e^{2 x} (-2960-1061 x+211 x^2+28 x^3)+e^{4 x} (30800+5360 x-4464 x^2+112 x^3+64 x^4)+e^{6 x} (-158000+9600 x+28720 x^2-6784 x^3+224 x^4+32 x^5)+e^{8 x} (400000-120000 x-64000 x^2+35200 x^3-5760 x^4+320 x^5)+e^{10 x} (-400000+200000 x+40000 x^2-48000 x^3+12800 x^4-1472 x^5+64 x^6)}{32+e^{2 x} (-800+160 x)+e^{4 x} (8000-3200 x+320 x^2)+e^{6 x} (-40000+24000 x-4800 x^2+320 x^3)+e^{8 x} (100000-80000 x+24000 x^2-3200 x^3+160 x^4)+e^{10 x} (-100000+100000 x-40000 x^2+8000 x^3-800 x^4+32 x^5)} \, dx\)
  3.4.23 \(\int (2+4 x+2 \log (\frac {1}{4} e^{-8+2 x} x)) \, dx\)
  3.4.24 \(\int \frac {e^{-x} (5 e^x \log (x)+e^{\frac {1}{5} e^{-x} (-20 \log (2)+e^x \log (\log (x)))} (e^x+20 x \log (2) \log (x)))}{5 x \log (x)} \, dx\)
  3.4.25 \(\int (750 x-750 x^2+350 x^6-150 x^2 \log (2)) \, dx\)
  3.4.26 \(\int (-1+9600 e^2 x+2000 e x^2+100 x^3+e^{2+2 x} (800 x+800 x^2)+(5600 e^2 x+600 e x^2) \log (5)+800 e^2 x \log ^2(5)+e^x (e^2 (5600 x+2400 x^2)+e (600 x^2+200 x^3)+e^2 (1600 x+800 x^2) \log (5))+(5600 e^2 x+600 e x^2+e^{2+x} (1600 x+800 x^2)+1600 e^2 x \log (5)) \log (x)+800 e^2 x \log ^2(x)) \, dx\)
  3.4.27 \(\int \frac {16 e^{e^x}-16 e^{e^x} \log (x) \log (\log (x)) \log (\log (\log (x)))-16 e^{e^x+x} x \log (x) \log (\log (x)) \log (\log (\log (x))) \log (\frac {\log (\log (\log (x)))}{x})}{x \log (x) \log (\log (x)) \log (\log (\log (x))) \log ^2(\frac {\log (\log (\log (x)))}{x})} \, dx\)
  3.4.28 \(\int -\frac {55 e^{\frac {5}{2 \log (\frac {1}{4} (20-11 x))}} (i \pi +\log (2))}{(-40+22 x) \log ^2(\frac {1}{4} (20-11 x))} \, dx\)
  3.4.29 \(\int (1+2 x-2 \log (9)) \, dx\)
  3.4.30 \(\int \frac {e^{\frac {5}{-4 x^2+x^2 \log (\log (x))}} (-5+40 \log (x)-10 \log (x) \log (\log (x)))}{16 x^3 \log (x)-8 x^3 \log (x) \log (\log (x))+x^3 \log (x) \log ^2(\log (x))} \, dx\)
  3.4.31 \(\int \frac {e^{-x} (-4-4 e^5 x+4 x \log (x)+(-9+x^2+e^5 (-10 x+x^2)+(10 x-x^2) \log (x)) \log (\log (2)))}{x \log (\log (2))} \, dx\)
  3.4.32 \(\int \frac {50+e^{x+\frac {1}{25} e^x (e^6-10 e^3 \log (4)+25 \log ^2(4))} (-2 e^6+20 e^3 \log (4)-50 \log ^2(4))}{225 e^{\frac {3}{25} e^x (e^6-10 e^3 \log (4)+25 \log ^2(4))}-675 e^{\frac {2}{25} e^x (e^6-10 e^3 \log (4)+25 \log ^2(4))} x+675 e^{\frac {1}{25} e^x (e^6-10 e^3 \log (4)+25 \log ^2(4))} x^2-225 x^3} \, dx\)
  3.4.33 \(\int \frac {e^{2 \log ^2(x)} (64 x+32 x^2-96 x^3+(64 x+32 x^2-96 x^3) \log (15)+(16 x+8 x^2-24 x^3) \log ^2(15)+(128 x-64 x^2+64 x^3+(128 x-64 x^2+64 x^3) \log (15)+(32 x-16 x^2+16 x^3) \log ^2(15)) \log (x))}{32-80 x+160 x^2-200 x^3+210 x^4-161 x^5+105 x^6-50 x^7+20 x^8-5 x^9+x^{10}} \, dx\)
  3.4.34 \(\int \frac {-1+6 x^2+x^2 \log (x^2)}{2 x} \, dx\)
  3.4.35 \(\int \frac {e^6-4 x^2+e^x x^2+\log (3)}{e^{12}+x^2+16 e^6 x^2+e^{2 x} x^2-8 x^3+16 x^4+e^6 (-2 x-8 e^3 x+8 x^2)+e^3 (8 x^2-32 x^3)+(2 e^6-2 x-8 e^3 x+8 x^2) \log (3)+\log ^2(3)+e^x (-2 e^6 x+2 x^2+8 e^3 x^2-8 x^3-2 x \log (3))} \, dx\)
  3.4.36 \(\int \frac {1}{18} ((27 x-18 x^2+3 x^3+(36 x-24 x^2+4 x^3) \log (\frac {4}{x})) \log (x)+(9 x-15 x^2+4 x^3+(36 x-36 x^2+8 x^3) \log (\frac {4}{x})) \log ^2(x)+e^{2 e^x} ((3 x+4 x \log (\frac {4}{x})) \log (x)+(x+3 e^x x^2+(4 x+4 e^x x^2) \log (\frac {4}{x})) \log ^2(x))+e^{e^x} ((18 x-6 x^2+(24 x-8 x^2) \log (\frac {4}{x})) \log (x)+(6 x-5 x^2+e^x (9 x^2-3 x^3)+(24 x-12 x^2+e^x (12 x^2-4 x^3)) \log (\frac {4}{x})) \log ^2(x))) \, dx\)
  3.4.37 \(\int \frac {88 x-21 x^2-10 x^3+2 x^4+(-96+19 x+11 x^2-2 x^3) \log (3+x)+(-12 x-x^2+x^3+(12+x-x^2) \log (3+x)) \log (\frac {x-\log (3+x)}{(-4 x+x^2) \log (5)})}{60 x+5 x^2-5 x^3+(-60-5 x+5 x^2) \log (3+x)} \, dx\)
  3.4.38 \(\int \frac {-132 x-e^{6 e^6} x-1800 x^3-9375 x^5-15625 x^7+e^{4 e^6} (-15 x-75 x^3)+e^x (2+5 x-100 x^2+25 x^3)+e^{2 e^6} (-76 x+e^x x-750 x^3-1875 x^5)+(76 x+3 e^{4 e^6} x-e^x x+750 x^3+1875 x^5+e^{2 e^6} (30 x+150 x^3)) \log (x)+(-15 x-3 e^{2 e^6} x-75 x^3) \log ^2(x)+x \log ^3(x)}{-125 x-e^{6 e^6} x-1875 x^3-9375 x^5-15625 x^7+e^{4 e^6} (-15 x-75 x^3)+e^{2 e^6} (-75 x-750 x^3-1875 x^5)+(75 x+3 e^{4 e^6} x+750 x^3+1875 x^5+e^{2 e^6} (30 x+150 x^3)) \log (x)+(-15 x-3 e^{2 e^6} x-75 x^3) \log ^2(x)+x \log ^3(x)} \, dx\)
  3.4.39 \(\int \frac {e^{6-2 e^x x+2 x \log (25-x)} ((50-2 x+2 x^2) \log (2)+e^x (50 x+48 x^2-2 x^3) \log (2)+(-50 x+2 x^2) \log (2) \log (25-x))}{-25 x^3+x^4} \, dx\)
  3.4.40 \(\int \frac {e^{\frac {-5 x-5 x^2-5 x^3+(-6+e^x (-2-x)-3 x) \log (\log (x))}{10 x^2+5 x^3}} (-12-12 x-3 x^2+e^x (-4-4 x-x^2)+(10 x+10 x^2-5 x^3) \log (x)+(24+24 x+6 x^2+e^x (8+4 x-2 x^2-x^3)) \log (x) \log (\log (x)))}{(20 x^3+20 x^4+5 x^5) \log (x)} \, dx\)
  3.4.41 \(\int e^{-1-e^x-x+e^{3+\log ^x(12)} (16-8 x+x^2)} (-1-e^x+e^{3+\log ^x(12)} (-8+2 x+(16-8 x+x^2) \log ^x(12) \log (\log (12)))) \, dx\)
  3.4.42 \(\int \frac {-40 x-10 e^{2 x} x+(-160 x-160 x^3) \log (4)+e^x (40 x+(-20+80 x-40 x^2+80 x^3-20 x^4) \log (4))}{4-4 e^x+e^{2 x}} \, dx\)
  3.4.43 \(\int \frac {(2 e^5 x+e^x (-e^5 x+x^3)) \log ^3(x)+(-4 x^2+2 e^x x^2) \log (2-e^x) \log ^3(x)+e^{\frac {4-16 \log (x)+16 \log ^2(x)}{\log ^2(x)}} (16-8 e^x+(-32+16 e^x) \log (x))}{(-2 x+e^x x) \log ^3(x)} \, dx\)
  3.4.44 \(\int \frac {-6-3 x-6 \log (x)}{x^2 \log ^2(x)} \, dx\)
  3.4.45 \(\int e^{e^{5+e^x+x}} (e^{5+e^x+x} (e^{\frac {100-4 x^2 \log ^2(5)}{\log ^2(5)}} x+e^{x+\frac {100-4 x^2 \log ^2(5)}{\log ^2(5)}} x)+e^{\frac {100-4 x^2 \log ^2(5)}{\log ^2(5)}} (1-8 x^2)) \, dx\)
  3.4.46 \(\int \frac {18 x}{e} \, dx\)
  3.4.47 \(\int \frac {e^e (-432 x^2-576 x^3-180 x^4-256 x^6-512 x^7-384 x^8-128 x^9-16 x^{10}+e^{x^2} (288 x^2+384 x^3-72 x^4-192 x^5-48 x^6)+e^{2 x^2} (-48 x^2-64 x^3+44 x^4+64 x^5+16 x^6))}{81-12 e^{3 x^2}+e^{4 x^2}-288 x^4-288 x^5-72 x^6+256 x^8+512 x^9+384 x^{10}+128 x^{11}+16 x^{12}+e^{2 x^2} (54-32 x^4-32 x^5-8 x^6)+e^{x^2} (-108+192 x^4+192 x^5+48 x^6)} \, dx\)
  3.4.48 \(\int \frac {4^{\frac {1}{x}} (\frac {1}{1-4 x+6 x^2-4 x^3+x^4})^{\frac {1}{x}} (-4 x-3 x^2-x^3+(1-x^2) \log (\frac {4}{1-4 x+6 x^2-4 x^3+x^4}))}{-2 x^2-2 x^3+2 x^4+2 x^5} \, dx\)
  3.4.49 \(\int \frac {e^{\frac {15+15 e^{\frac {3+e^x x}{x}}-3 x}{x+e^{\frac {3+e^x x}{x}} x}} (-15+e^{\frac {2 (3+e^x x)}{x}} (-15-x)-x+e^{\frac {3+e^x x}{x}} (-39-2 x+3 e^x x^2))}{x^3+2 e^{\frac {3+e^x x}{x}} x^3+e^{\frac {2 (3+e^x x)}{x}} x^3} \, dx\)
  3.4.50 \(\int \frac {1-4 e^{2 x} x}{x} \, dx\)
  3.4.51 \(\int \frac {625+9225 x+46950 x^2+78550 x^3+753 x^4+3798 x^5+6266 x^6+15 x^7+75 x^8+125 x^9+e^8 (x^4+15 x^5+75 x^6+125 x^7)+e^4 (-50 x^2-750 x^3-3783 x^4-6267 x^5-30 x^6-150 x^7-250 x^8)}{625+9375 x+46950 x^2+78550 x^3+750 x^4+3753 x^5+6266 x^6+15 x^7+75 x^8+125 x^9+e^8 (x^4+15 x^5+75 x^6+125 x^7)+e^4 (-50 x^2-750 x^3-3753 x^4-6267 x^5-30 x^6-150 x^7-250 x^8)} \, dx\)
  3.4.52 \(\int \frac {e^{-\frac {20 e^{e^x}}{x}} (-20 x+x^3-3 x^5+e^{e^x} (400+20 x^2-20 x^4+e^x (-400 x-20 x^3+20 x^5)))}{2 x^3} \, dx\)
  3.4.53 \(\int \frac {-120+120 x+e^{e^{2 x}} (300-300 x+e^{2 x} (300-600 x+300 x^2))}{4-20 e^{e^{2 x}}+25 e^{2 e^{2 x}}} \, dx\)
  3.4.54 \(\int \frac {-1+x^{-1+x} (2-x-x \log (x))}{x^2} \, dx\)
  3.4.55 \(\int \frac {(2000000 x-800000 x^2+80000 x^3+(-800000 x+160000 x^2) \log (x)+80000 x \log ^2(x)) \log (e^5+5 x)+(600000 x-720000 x^2+120000 x^3+e^5 (120000-144000 x+24000 x^2)+(-320000 x+160000 x^2+e^5 (-64000+32000 x)) \log (x)+(8000 e^5+40000 x) \log ^2(x)) \log ^2(e^5+5 x)}{e^5+5 x} \, dx\)
  3.4.56 \(\int \frac {-200 x-1592 x^2+96 x^3+256 x^4+e^3 (-40 x-320 x^2)+(2000+400 e^3-80 x-320 x^2) \log (x)+(-40 x-320 x^2) \log ^2(x)+400 \log ^3(x)}{381924 x+625 e^{12} x-61800 x^2-243464 x^3+29788 x^4+58577 x^5-4784 x^6-6304 x^7+256 x^8+256 x^9+e^9 (12500 x-500 x^2-2000 x^3)+e^6 (93400 x-7500 x^2-29850 x^3+1200 x^4+2400 x^5)+e^3 (309000 x-37360 x^2-147940 x^3+11980 x^4+23760 x^5-960 x^6-1280 x^7)+(309000 x+2500 e^9 x-37360 x^2-147940 x^3+11980 x^4+23760 x^5-960 x^6-1280 x^7+e^6 (37500 x-1500 x^2-6000 x^3)+e^3 (186800 x-15000 x^2-59700 x^3+2400 x^4+4800 x^5)) \log ^2(x)+(93400 x+3750 e^6 x-7500 x^2-29850 x^3+1200 x^4+2400 x^5+e^3 (37500 x-1500 x^2-6000 x^3)) \log ^4(x)+(12500 x+2500 e^3 x-500 x^2-2000 x^3) \log ^6(x)+625 x \log ^8(x)} \, dx\)
  3.4.57 \(\int (-7+4 x-5 e^6 x^4) \, dx\)
  3.4.58 \(\int \frac {4 e^{e^5} x+2 x^2+(-10 x^2-2 x^3-5 x^4-x^5+(-2 x^2-x^4) \log (3)+e^{2 e^5} (-20 x^2-4 x^3-4 x^2 \log (3))+e^{e^5} (-20 x^3-4 x^4-4 x^3 \log (3))) \log (5+x+\log (3))+(10 x^3+2 x^4+2 x^3 \log (3)+e^{2 e^5} (40 x+8 x^2+8 x \log (3))+e^{e^5} (-20-4 x+40 x^2+8 x^3+(-4+8 x^2) \log (3))) \log (5+x+\log (3)) \log (\log (5+x+\log (3)))+(-5 x^2-x^3+e^{2 e^5} (-20-4 x-4 \log (3))-x^2 \log (3)+e^{e^5} (-20 x-4 x^2-4 x \log (3))) \log (5+x+\log (3)) \log ^2(\log (5+x+\log (3)))}{(5 x^4+x^5+x^4 \log (3)+e^{2 e^5} (20 x^2+4 x^3+4 x^2 \log (3))+e^{e^5} (20 x^3+4 x^4+4 x^3 \log (3))) \log (5+x+\log (3))+(-10 x^3-2 x^4-2 x^3 \log (3)+e^{2 e^5} (-40 x-8 x^2-8 x \log (3))+e^{e^5} (-40 x^2-8 x^3-8 x^2 \log (3))) \log (5+x+\log (3)) \log (\log (5+x+\log (3)))+(5 x^2+x^3+x^2 \log (3)+e^{2 e^5} (20+4 x+4 \log (3))+e^{e^5} (20 x+4 x^2+4 x \log (3))) \log (5+x+\log (3)) \log ^2(\log (5+x+\log (3)))} \, dx\)
  3.4.59 \(\int \frac {2 x^3+(e^{-2-2 x} x^4)^{\frac {1}{x^2}} (4-2 x+x^2-2 \log (e^{-2-2 x} x^4))}{2 x^2} \, dx\)
  3.4.60 \(\int \frac {-21233664-27869184 x-14846976 x^2-3519936 x^3+219996 x^5+57996 x^6+6804 x^7+324 x^8}{e^8 x^5} \, dx\)
  3.4.61 \(\int \frac {64 x-144 x^2-1188 x^3+459 x^4+e^{4 x} (-128 x+32 x^2+360 x^3-378 x^4+108 x^5)+e^{2 x} (864 x^2-504 x^3-540 x^4+324 x^5)}{-64+144 x-108 x^2+27 x^3} \, dx\)
  3.4.62 \(\int \frac {e^{1-e^{\frac {x+5 e x+e x \log (3+x)}{5 e+e \log (3+x)}}+x} (e (75+25 x)+e (30+10 x) \log (3+x)+e (3+x) \log ^2(3+x)+e^{\frac {x+5 e x+e x \log (3+x)}{5 e+e \log (3+x)}} (-15+e (-75-25 x)-4 x+(-3+e (-30-10 x)-x) \log (3+x)+e (-3-x) \log ^2(3+x)))}{e (150+50 x)+e (60+20 x) \log (3+x)+e (6+2 x) \log ^2(3+x)+e^{1-e^{\frac {x+5 e x+e x \log (3+x)}{5 e+e \log (3+x)}}+x} (e (75+25 x)+e (30+10 x) \log (3+x)+e (3+x) \log ^2(3+x))} \, dx\)
  3.4.63 \(\int \frac {-16-16 x+60 x^2+156 x^3-124 x^4-399 x^5+243 x^6+1050 x^7+912 x^8+333 x^9+45 x^{10}+(16+32 x+80 x^2-256 x^3-687 x^4+245 x^5+1650 x^6+1542 x^7+585 x^8+81 x^9) \log (3 x)+(16 x-72 x^2-276 x^3+2 x^4+600 x^5+630 x^6+252 x^7+36 x^8) \log ^2(3 x)}{8 x} \, dx\)
  3.4.64 \(\int \frac {32 e^4 x^3+2 x^4+e^{32-16 x+2 x^2} (-16 x^3+4 x^4+e^8 (-512-4096 x+1024 x^2)+e^4 (-32 x-512 x^2+128 x^3))+e^{16-8 x+x^2} (2 x^3-16 x^4+4 x^5+e^8 (-512 x-4096 x^2+1024 x^3)+e^4 (-512 x^3+128 x^4))}{e^8 x^3} \, dx\)
  3.4.65 \(\int \frac {-60-5 x+60 x^2}{60 x-49 x^2+6 x^3+(-45 x^2+30 x^3) \log ((3 x-2 x^2) \log (\log (2)))} \, dx\)
  3.4.66 \(\int \frac {-15 x^2+2 \log (x)-4 \log ^2(x)}{x^5} \, dx\)
  3.4.67 \(\int \frac {80-40 x+(480 e^{25}-40 x) \log (12 e^{25}-x)}{12 e^{25}-x} \, dx\)
  3.4.68 \(\int \frac {-125-15 e^{2 x^2}-e^{3 x^2}+e^{x^2} (-75+e^8 (4 x^2-4 x^3))+(-125+e^{3 x^2} (-1+x)+125 x+e^{2 x^2} (-15+15 x)+e^{x^2} (-75+75 x)) \log (\frac {e^{\frac {e^8}{25+10 e^{x^2}+e^{2 x^2}}} x}{-4+4 x}) \log (\log (\frac {e^{\frac {e^8}{25+10 e^{x^2}+e^{2 x^2}}} x}{-4+4 x}))}{(-125+e^{3 x^2} (-1+x)+125 x+e^{2 x^2} (-15+15 x)+e^{x^2} (-75+75 x)) \log (\frac {e^{\frac {e^8}{25+10 e^{x^2}+e^{2 x^2}}} x}{-4+4 x})} \, dx\)
  3.4.69 \(\int \frac {e^{-\frac {-50 x+25 x^2}{-56 x+20 x^2+4 x^3+(7+x) \log (5)}} (3136 x^2-2240 x^3-48 x^4+160 x^5+16 x^6+(-784 x+168 x^2+96 x^3+8 x^4) \log (5)+(49+14 x+x^2) \log ^2(5)+(400 x^3-400 x^4+100 x^5+(350 x-350 x^2-25 x^3) \log (5)) \log (x))}{3136 x^3-2240 x^4-48 x^5+160 x^6+16 x^7+(-784 x^2+168 x^3+96 x^4+8 x^5) \log (5)+(49 x+14 x^2+x^3) \log ^2(5)} \, dx\)
  3.4.70 \(\int \frac {1}{5} (-55+6 x+60 x^2+(-60+12 x-90 x^2) \log (x)) \, dx\)
  3.4.71 \(\int \frac {1}{2} e^{-x} (e^x (30+e)-30 x+15 x^2) \, dx\)
  3.4.72 \(\int (4 e^3+e^{2 e^{2 x}} (e^3+4 e^{3+2 x} x)) \, dx\)
  3.4.73 \(\int \frac {(1152 e^3+96 x-1152 \log (4)) \log (-\frac {12}{5+20 x})+(12+48 x) \log ^2(-\frac {12}{5+20 x})}{x^2+4 x^3+e^6 (144+576 x)+e^3 (24 x+96 x^2)+(e^3 (-288-1152 x)-24 x-96 x^2) \log (4)+(144+576 x) \log ^2(4)} \, dx\)
  3.4.74 \(\int \frac {e^{-x} (e^x (2 x^2+4 x^3+2 x^4)+e^{\frac {2 e^{-x} (e^{16}+\log (4))}{x}} (e^x x^2+e^{16} (2+4 x+2 x^2)+(2+4 x+2 x^2) \log (4)))}{2 x^2+4 x^3+2 x^4} \, dx\)
  3.4.75 \(\int \frac {-16-60 x-25 x^2-3 x^3}{16 x+8 x^2+x^3} \, dx\)
  3.4.76 \(\int \frac {-4 x^2-6 x^3-2 x^4+(10 x+16 x^2+6 x^3) \log (8)+(-6-10 x-4 x^2) \log ^2(8)}{x^7} \, dx\)
  3.4.77 \(\int \frac {-40-40 x+110 x^2+120 x^3-98 x^4-112 x^5+16 x^6+36 x^7+8 x^8+e^{3 e^8} (-4-12 x-8 x^2)+e^3 (4+12 x+8 x^2)+e^2 (-26-60 x+60 x^3+24 x^4)+e (56+92 x-88 x^2-180 x^3+12 x^4+84 x^5+24 x^6)+e^{2 e^8} (-26-60 x+60 x^3+24 x^4+e (12+36 x+24 x^2))+e^{e^8} (-56-92 x+88 x^2+180 x^3-12 x^4-84 x^5-24 x^6+e^2 (-12-36 x-24 x^2)+e (52+120 x-120 x^3-48 x^4))+(10+20 x-20 x^3-8 x^4+e (-4-12 x-8 x^2)+e^{e^8} (4+12 x+8 x^2)) \log (1+x)}{1+x} \, dx\)
  3.4.78 \(\int \frac {(1-9 \log (\frac {3}{x})) \log (\log (3))+\log (\frac {3}{x}) \log (\log (3)) \log (\log (\frac {3}{x}))}{(81-72 x+16 x^2) \log (\frac {3}{x})+(-18+8 x) \log (\frac {3}{x}) \log (\log (\frac {3}{x}))+\log (\frac {3}{x}) \log ^2(\log (\frac {3}{x}))} \, dx\)
  3.4.79 \(\int \frac {-4 x^6+2 x^6 \log (2)+e^{4 x^2} (-4 x^2+2 x^2 \log (2))+e^{3 x^2} (-16 x^3+8 x^3 \log (2))+(-4 x^3-3 x^2 \log (2)) \log (4)+e^{2 x^2} (-24 x^4+12 x^4 \log (2)+(-2 x-4 x^3+(-1-4 x^2) \log (2)) \log (4))+e^{x^2} (-16 x^5+8 x^5 \log (2)+(-6 x^2-4 x^4+(-4 x-4 x^3) \log (2)) \log (4))}{16 x^6+16 x^7+4 x^8+e^{4 x^2} (16 x^2+16 x^3+4 x^4)+e^{3 x^2} (64 x^3+64 x^4+16 x^5)+(8 x^3+4 x^4) \log (4)+\log ^2(4)+e^{2 x^2} (96 x^4+96 x^5+24 x^6+(8 x+4 x^2) \log (4))+e^{x^2} (64 x^5+64 x^6+16 x^7+(16 x^2+8 x^3) \log (4))} \, dx\)
  3.4.80 \(\int \frac {-2-5 x+2 x^2+e^{e^x} (1+2 x-2 e^x x)+(6+e^{e^x} (-2+2 e^x)-2 x) \log (2-e^{e^x}-x)}{-2+e^{e^x}+x} \, dx\)
  3.4.81 \(\int \frac {1}{2} e^{-2 x} (-e^{e^{-2 x}}+e^{2 x} (36 x-6 x^2)) \, dx\)
  3.4.82 \(\int \frac {-x+e^{192 x-48 x^3+3 x^5+(128-32 x^2+2 x^4) \log (x)} (128+192 x-32 x^2-144 x^3+2 x^4+15 x^5+(-64 x^2+8 x^4) \log (x))}{x} \, dx\)
  3.4.83 \(\int \frac {e^{e^{\frac {-6-e^5+7 x}{16-16 x+4 x^2}}+\frac {-6-e^5+7 x}{16-16 x+4 x^2}} (-2+2 e^5-7 x)}{-32+48 x-24 x^2+4 x^3} \, dx\)
  3.4.84 \(\int 3 x^2 \, dx\)
  3.4.85 \(\int \frac {8 x+25600 \log (\frac {1}{x})+2560 \log ^2(\frac {1}{x})+(-5120 \log (\frac {1}{x})-256 \log ^2(\frac {1}{x})) \log (x)+256 \log (\frac {1}{x}) \log ^2(x)+(-40+8 x-12800 \log ^2(\frac {1}{x})+2560 \log ^2(\frac {1}{x}) \log (x)-128 \log ^2(\frac {1}{x}) \log ^2(x)) \log (5-x+1600 \log ^2(\frac {1}{x})-320 \log ^2(\frac {1}{x}) \log (x)+16 \log ^2(\frac {1}{x}) \log ^2(x))}{(5 x^3-x^4+1600 x^3 \log ^2(\frac {1}{x})-320 x^3 \log ^2(\frac {1}{x}) \log (x)+16 x^3 \log ^2(\frac {1}{x}) \log ^2(x)) \log ^3(5-x+1600 \log ^2(\frac {1}{x})-320 \log ^2(\frac {1}{x}) \log (x)+16 \log ^2(\frac {1}{x}) \log ^2(x))} \, dx\)
  3.4.86 \(\int \frac {e^{\frac {x}{2 e^x+x}} (-4 e^{2 x}-x^2+e^x (-2 x-2 x^2))}{4 e^{2 x} x^2+4 e^x x^3+x^4} \, dx\)
  3.4.87 \(\int \frac {e^{-2 x} (8+23 x-24 x^2-10 x^3+(2+4 x-5 x^2-2 x^3) \log (3 x))}{5 x^2} \, dx\)
  3.4.88 \(\int \frac {(18400 x+160 x^2+800 x^3) \log (x^4)+(4600 x+20 x^2) \log ^2(x^4)}{13225+230 x+1151 x^2+10 x^3+25 x^4} \, dx\)
  3.4.89 \(\int \frac {10+e (-1+2 x)}{e} \, dx\)
  3.4.90 \(\int \frac {-1+x+e^5 (-4+e^5) x}{x} \, dx\)
  3.4.91 \(\int \frac {7+2 x^2+e^{7 x+7 x \log (x)} (14 x^2+7 x^2 \log (x))}{x^2} \, dx\)
  3.4.92 \(\int \frac {4-\log (x)}{-3 x+x \log (x)} \, dx\)
  3.4.93 \(\int \frac {4}{4+e^x} \, dx\)
  3.4.94 \(\int \frac {-675+810 x^2+729 x^4+e^{18+2 x^2} (-75+300 x^2)+e^{9+x^2} (450-1170 x^2-540 x^4)}{25 x^2} \, dx\)
  3.4.95 \(\int \frac {e^{\frac {81+25 x^2+25 x^2 \log (1-2 x+x^2)-25 x^2 \log (\log (x^2))}{25 x^2}} (50 x^2-50 x^3+(162-162 x+25 x^2+25 x^3) \log (x^2))}{(-25 x^4+25 x^5) \log (x^2)} \, dx\)
  3.4.96 \(\int \frac {x^2+2 \log (3 x)-2 \log ^2(3 x)}{x^3} \, dx\)
  3.4.97 \(\int \frac {(100-200 x+40 x^3-80 x^4+40 x^5) \log ^2(4)}{4 x^2-8 x^3+4 x^4+(-40 x+60 x^2-40 x^3+28 x^4-16 x^5+8 x^6) \log (4)+(100-100 x+125 x^2-90 x^3+85 x^4-40 x^5+24 x^6-8 x^7+4 x^8) \log ^2(4)} \, dx\)
  3.4.98 \(\int \frac {-50 e^{e^{2 x}} x^2+10 e^{2 x} x \log (4)+(5+25 x) \log (4)+(-60 e^{e^{2 x}} x^3+30 x^2 \log (4)+(12 e^{e^{2 x}} x^2-6 x \log (4)) \log (\frac {e^{-e^{2 x}} (2 e^{e^{2 x}} x-\log (4))}{x})) \log (-5 x+\log (\frac {e^{-e^{2 x}} (2 e^{e^{2 x}} x-\log (4))}{x}))}{(-10 e^{e^{2 x}} x^3+5 x^2 \log (4)+(2 e^{e^{2 x}} x^2-x \log (4)) \log (\frac {e^{-e^{2 x}} (2 e^{e^{2 x}} x-\log (4))}{x})) \log (-5 x+\log (\frac {e^{-e^{2 x}} (2 e^{e^{2 x}} x-\log (4))}{x}))} \, dx\)
  3.4.99 \(\int (-1+5000 e^{625 x^8} x^7) \, dx\)
  3.4.100 \(\int \frac {1}{3} (-60 x+e^{3+x} (5+5 x)) \, dx\)