\(\int \genfrac {}{}{}{}{1}{625} (5625+33750 x+6 e^{2 x^3} x^2) \, dx\) [401]
\(\int \genfrac {}{}{}{}{e^{-\genfrac {}{}{}{}{2 (-5+3 x)}{x}} (-50+5 x+(-100 x+20 x^2) \log (3))}{x} \, dx\) [402]
\(\int (-4-4 e^{4+e^{4-x}-x}) \, dx\) [403]
\(\int \genfrac {}{}{}{}{1}{16} (1383120-1839264 x+458643 x^2+(790272-1052352 x+262752 x^2) \log (5)+(169344-225696 x+56400 x^2) \log ^2(5)+(16128-21504 x+5376 x^2) \log ^3(5)+(576-768 x+192 x^2) \log ^4(5)) \, dx\) [404]
\(\int \genfrac {}{}{}{}{75 x^2+5 x^4}{25+10 x^2+x^4} \, dx\) [405]
\(\int \genfrac {}{}{}{}{-3+x-4 x \log (x)+(6-x) \log (x) \log (\genfrac {}{}{}{}{5 \log (x)}{e^3})}{(4 x^2-x^3) \log (x)+(-3 x+x^2) \log (x) \log (\genfrac {}{}{}{}{5 \log (x)}{e^3})} \, dx\) [406]
\(\int \genfrac {}{}{}{}{2+e^x (-2-2 x)}{16+8 x+x^2+e^{2 x} x^2+e^x (-8 x-2 x^2)} \, dx\) [407]
\(\int \genfrac {}{}{}{}{-2-20 x-20 x \log (x)}{6480 x+3600 x^2+500 x^3+(6480 x+3600 x^2+500 x^3) \log (x)+(360 x+100 x^2+(360 x+100 x^2) \log (x)) \log (1+\log (x))+(5 x+5 x \log (x)) \log ^2(1+\log (x))} \, dx\) [408]
\(\int e^{162+80 x} (400+e^{-162-80 x}) \, dx\) [409]
\(\int \genfrac {}{}{}{}{-16-268 x-781 x^2-728 x^3-260 x^4+e^2 (24 x+26 x^2-8 x^3)}{-16 x-188 x^2-656 x^3-592 x^4-64 x^5+64 x^6} \, dx\) [410]
\(\int \genfrac {}{}{}{}{-x-x^2+4 x^3+e^4 (-2+2 x)+(2-4 x+e^4 (-2 x+2 x^2)) \log (x)+e^8 (-x+x^2) \log ^2(x)+(2-2 x-4 x^2+2 x^3+2 x^4+(2 x-2 x^2+e^4 (-2 x^3+2 x^4)) \log (x)+e^4 (2 x-2 x^2) \log ^2(x)) \log (-x+x^2)+(-x^5+x^6+(2 x^3-2 x^4) \log (x)+(-x+x^2) \log ^2(x)) \log ^2(-x+x^2)}{-x+x^2+e^4 (-2 x+2 x^2) \log (x)+e^8 (-x+x^2) \log ^2(x)+(-2 x^3+2 x^4+(2 x-2 x^2+e^4 (-2 x^3+2 x^4)) \log (x)+e^4 (2 x-2 x^2) \log ^2(x)) \log (-x+x^2)+(-x^5+x^6+(2 x^3-2 x^4) \log (x)+(-x+x^2) \log ^2(x)) \log ^2(-x+x^2)} \, dx\) [411]
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{-1+\log (5)}{\log (-e^{\genfrac {}{}{}{}{75+28 x+x \log (x)}{3+\log (x)}}+x)}} (-9 x+9 x \log (5)+(-6 x+6 x \log (5)) \log (x)+(-x+x \log (5)) \log ^2(x)+e^{\genfrac {}{}{}{}{75+28 x+x \log (x)}{3+\log (x)}} (-75+59 x+(75-59 x) \log (5)+(31 x-31 x \log (5)) \log (x)+(x-x \log (5)) \log ^2(x)))}{(-9 x^2-6 x^2 \log (x)-x^2 \log ^2(x)+e^{\genfrac {}{}{}{}{75+28 x+x \log (x)}{3+\log (x)}} (9 x+6 x \log (x)+x \log ^2(x))) \log ^2(-e^{\genfrac {}{}{}{}{75+28 x+x \log (x)}{3+\log (x)}}+x)} \, dx\) [412]
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{3 x-x^2+x^{-\genfrac {}{}{}{}{x}{-10+5 x}}+9 x^2 \log (x)}{x}} (160 x^2-160 x^3+40 x^4+(180 x^2-180 x^3+45 x^4) \log (x)+x^{-\genfrac {}{}{}{}{x}{-10+5 x}} (-20+22 x-6 x^2+2 x \log (x)))}{20 x^2-20 x^3+5 x^4} \, dx\) [413]
\(\int \genfrac {}{}{}{}{e^{2 e^x} (6-3 e^4)+12 x^2-3 e^4 x^2-3 x^2 \log (2)+(-16 x+6 e^4 x+2 x \log (2)) \log (3)+(6-3 e^4) \log ^2(3)+e^{e^x} (-16 x+6 e^4 x+2 x \log (2)+e^x (-2 x^2+x^2 \log (2))+(12-6 e^4) \log (3))}{e^{2 e^x} x^4+x^6-2 x^5 \log (3)+x^4 \log ^2(3)+e^{e^x} (-2 x^5+2 x^4 \log (3))} \, dx\) [414]
\(\int \genfrac {}{}{}{}{-16 e^5-16 x+e^5 (-16+8 x) \log (-\genfrac {}{}{}{}{x}{-2+x})}{e^{10} (-2+x)-2 x^2+x^3+e^5 (-4 x+2 x^2)} \, dx\) [415]
\(\int \genfrac {}{}{}{}{-2500-3000 x+18800 x^2+11840 x^3+47360 x^5-300800 x^6-192000 x^7+640000 x^8}{81 x^5+432 e^5 x^5+864 e^{10} x^5+768 e^{15} x^5+256 e^{20} x^5} \, dx\) [416]
\(\int \genfrac {}{}{}{}{816+512 e+80 e^2+(128+40 e) \log (x)+5 \log ^2(x)+(168+104 e+16 e^2+(26+8 e) \log (x)+\log ^2(x)) \log (80 x)}{9+6 e+e^2} \, dx\) [417]
\(\int -e^{-2-x} \, dx\) [418]
\(\int \genfrac {}{}{}{}{-30+54 x+e^{2-x} (15-12 x-12 x^2-3 x^3)+(-120 x-12 x^2+e^{2-x} (60 x+36 x^2+6 x^3)) \log (5+x)+(60 x+12 x^2+e^{2-x} (-30 x-21 x^2-3 x^3)) \log ^2(5+x)}{20+e^{2-x} (-20-4 x)+4 x+e^{4-2 x} (5+x)} \, dx\) [419]
\(\int \genfrac {}{}{}{}{392+112 x+6 x^2+e^{e^{e^3}} (16 x+24 e^x x+12 e^{2 x} x+2 e^{3 x} x)+(112+16 x) \log (5)+8 \log ^2(5)+e^{3 x} (49+28 x+3 x^2+(14+4 x) \log (5)+\log ^2(5))+e^{2 x} (294+140 x+26 x^2+2 x^3+(84+20 x+2 x^2) \log (5)+6 \log ^2(5))+e^x (588+224 x+43 x^2+2 x^3+(168+32 x+4 x^2) \log (5)+12 \log ^2(5))}{8+12 e^x+6 e^{2 x}+e^{3 x}} \, dx\) [420]
\(\int \genfrac {}{}{}{}{24+e^2 (24-x)-4 e^2 \log (3)}{x+e^2 x+(4+4 e^2) \log (3)} \, dx\) [421]
\(\int \genfrac {}{}{}{}{-131072 x^3-1024 e^{2 e^x} x^3-2 e^{4 e^x} x^3+e^{\genfrac {}{}{}{}{8}{256+e^{2 e^x}}} (262144+196608 x^2+e^{4 e^x} (4+3 x^2)+e^{2 e^x} (2048+1536 x^2+e^x (64 x+16 x^3)))}{e^{\genfrac {}{}{}{}{16}{256+e^{2 e^x}}} (327680+2560 e^{2 e^x}+5 e^{4 e^x})+327680 x^2+2560 e^{2 e^x} x^2+5 e^{4 e^x} x^2+e^{\genfrac {}{}{}{}{8}{256+e^{2 e^x}}} (-655360 x-5120 e^{2 e^x} x-10 e^{4 e^x} x)} \, dx\) [422]
\(\int (-99+40 x-3 x^2+e^{8 x-16 x^2} (-25-200 x+800 x^2)+e^{4 x-8 x^2} (100+380 x-1640 x^2+160 x^3)) \, dx\) [423]
\(\int \genfrac {}{}{}{}{-24 x^3+e^{2 x} (-5+10 x)+5 x^2 \log (2)+e^{2 x} (24 x^2+e^x (-5+15 x)+(5-10 x) \log (2))+e^x (7 x^2-5 x^3+(5-5 x) \log (2))}{x^2} \, dx\) [424]
\(\int \genfrac {}{}{}{}{-8+5 x^2-6 x^3+e^x (-12 x^2+3 x^3)}{x^2} \, dx\) [425]
\(\int \genfrac {}{}{}{}{-10 x^2-2 e^3 x^2+e^{e^{\genfrac {}{}{}{}{5 x+25 x^4+5 e^3 x^4}{5+e^3}}+\genfrac {}{}{}{}{5 x+25 x^4+5 e^3 x^4}{5+e^3}} (5 x+100 x^4+20 e^3 x^4)+(e^{e^{\genfrac {}{}{}{}{5 x+25 x^4+5 e^3 x^4}{5+e^3}}} (-5-e^3)+5 x^2+e^3 x^2) \log (-e^{e^{\genfrac {}{}{}{}{5 x+25 x^4+5 e^3 x^4}{5+e^3}}}+x^2)}{-5 x^4-e^3 x^4+e^{e^{\genfrac {}{}{}{}{5 x+25 x^4+5 e^3 x^4}{5+e^3}}} (5 x^2+e^3 x^2)} \, dx\) [426]
\(\int \genfrac {}{}{}{}{1}{96} e^{\genfrac {}{}{}{}{1}{24} (96+720 x+48 x^2+x \log ^2(9))} (720+96 x+\log ^2(9)) \, dx\) [427]
\(\int \genfrac {}{}{}{}{-1200+5280 x-5776 x^2-149 x^4+1440 x^5+300 x^6}{16 x^4} \, dx\) [428]
\(\int (36+18 x+\genfrac {}{}{}{}{25 e^{-8-x+2 x^2} (-9 x^2+36 x^3)}{x^2}+e^{\genfrac {}{}{}{}{1}{2} (-8-x+2 x^2+2 \log (\genfrac {}{}{}{}{5}{x}))} (63 x^2+36 x^3)) \, dx\) [429]
\(\int (-432 x^2-1800 x^3+1080 x^4+1944 x^5+(-648 x+648 x^2+2592 x^3) \log (x)+648 x \log ^2(x)) \, dx\) [430]
\(\int \genfrac {}{}{}{}{e^{e^{\genfrac {}{}{}{}{-107+19 x+(-20+4 x) \log (x)}{19+4 \log (x)}}+\genfrac {}{}{}{}{-107+19 x+(-20+4 x) \log (x)}{19+4 \log (x)}} (48+361 x+152 x \log (x)+16 x \log ^2(x))}{361 x+152 x \log (x)+16 x \log ^2(x)} \, dx\) [431]
\(\int \genfrac {}{}{}{}{e^3 (-64 x^2-16 x^3-x^4)+e^{\genfrac {}{}{}{}{-96 x+12 x^2+3 x^3+e^3 (96-38 x^2+4 x^3+x^4)}{e^3 (8 x+x^2)}} (192 x^2+48 x^3+3 x^4+e^3 (-768-192 x-304 x^2+64 x^3+28 x^4+2 x^5))}{e^3 (64 x^2+16 x^3+x^4)} \, dx\) [432]
\(\int \genfrac {}{}{}{}{e^{-\genfrac {}{}{}{}{-3 x+(1-3 x) \log (x)}{x^2 \log (x)}} (-3 e^5 x-6 x^2+(-3 e^5 x-6 x^2) \log (x)-2 e^{\genfrac {}{}{}{}{-3 x+(1-3 x) \log (x)}{x^2 \log (x)}} x^3 \log ^2(x)+(e^5 (2-3 x)+4 x-6 x^2-2 x^3) \log ^2(x))}{(e^{10} x^3+4 e^5 x^4+4 x^5) \log ^2(x)} \, dx\) [433]
\(\int \genfrac {}{}{}{}{e^{-x} (-4 e^x x+e^{x^3} (-81-18 x-x^2+e^x (-81 x-18 x^2+728 x^3-81 x^4-45 x^5-3 x^6))+e^{x^3} (81 x+18 x^2-242 x^3-54 x^4-3 x^5) \log (x))}{81 x+18 x^2+x^3} \, dx\) [434]
\(\int \genfrac {}{}{}{}{x^5-x^6+e^x (-x+x^2)+(6 x^5-3 x^6+e^x (-2 x+2 x^2)) \log (x)+(-e^x x+x^5+(-2 e^x x+2 x^5) \log (x)) \log (-e^x+x^4)}{e^x-x^4} \, dx\) [435]
\(\int \genfrac {}{}{}{}{13 e^3 x+52 x^2+e^x (24 x+12 e^3 x+24 x^2)+(e^x (-12 e^3-24 x)-13 e^3 x-26 x^2) \log (\genfrac {}{}{}{}{1}{3} (13 e^3 x+26 x^2+e^x (12 e^3+24 x))) \log (\log (\genfrac {}{}{}{}{1}{3} (13 e^3 x+26 x^2+e^x (12 e^3+24 x))))}{(13 e^3 x^3+26 x^4+e^x (12 e^3 x^2+24 x^3)) \log (\genfrac {}{}{}{}{1}{3} (13 e^3 x+26 x^2+e^x (12 e^3+24 x)))} \, dx\) [436]
\(\int \genfrac {}{}{}{}{-10 x-40 x^2+(-30-110 x+30 x^2+40 x^3) \log (\genfrac {}{}{}{}{1}{2} (x+2 x^2))+(30+60 x-30 x^2-60 x^3) \log ^2(\genfrac {}{}{}{}{1}{2} (x+2 x^2))+(-60 x-120 x^2+20 x^3+40 x^4) \log ^3(\genfrac {}{}{}{}{1}{2} (x+2 x^2))}{(1+2 x) \log ^3(\genfrac {}{}{}{}{1}{2} (x+2 x^2))} \, dx\) [437]
\(\int \genfrac {}{}{}{}{1}{16} e^{x+\genfrac {}{}{}{}{1}{16} e^x (-75 x-55 x^2-13 x^3-x^4+e^{-4+x} (75 x+30 x^2+3 x^3))} (-75-185 x-94 x^2-17 x^3-x^4+e^{-4+x} (75+210 x+69 x^2+6 x^3)) \, dx\) [438]
\(\int \genfrac {}{}{}{}{-10-x+x \log (x)+(-1-2 x-x^2+(2 x+2 x^2) \log (x)) \log (\genfrac {}{}{}{}{\log (5)}{25})}{2 x \log ^2(x)} \, dx\) [439]
\(\int \genfrac {}{}{}{}{e^{-16 x+4 x \log (x)} (4-96 x-4 x^3-12 x^4+(-4+32 x+4 x^4) \log (x))}{1-16 x+64 x^2-2 x^4+16 x^5+x^8} \, dx\) [440]
\(\int -\genfrac {}{}{}{}{6}{9 x-6 x \log (x^2)+x \log ^2(x^2)} \, dx\) [441]
\(\int \genfrac {}{}{}{}{-162 x^2+270 x^3-18 x^4+e^{2 x} (-18+30 x-2 x^2)+e^x (108 x-180 x^2+3 x^3+9 x^4)}{e^{2 x} x^3-6 e^x x^4+9 x^5} \, dx\) [442]
\(\int (-4+e^x+\log (16)) \, dx\) [443]
\(\int \genfrac {}{}{}{}{-1000-500 \log (x)}{x^2} \, dx\) [444]
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{-11 x-x^2+e^{x^2} (10+x)+e^{\genfrac {}{}{}{}{e^x}{2 x}} (-e^{x^2}+x)}{-10+e^{\genfrac {}{}{}{}{e^x}{2 x}}-x}} (220 x+40 x^2+2 x^3+e^{\genfrac {}{}{}{}{e^x}{x}} (2 x-4 e^{x^2} x^2)+e^{x^2} (-400 x^2-80 x^3-4 x^4)+e^{\genfrac {}{}{}{}{e^x}{2 x}} (e^x (-1+x)-42 x-4 x^2+e^{x^2} (80 x^2+8 x^3)))}{200 x+2 e^{\genfrac {}{}{}{}{e^x}{x}} x+40 x^2+2 x^3+e^{\genfrac {}{}{}{}{e^x}{2 x}} (-40 x-4 x^2)} \, dx\) [445]
\(\int \genfrac {}{}{}{}{90 x^2+90 x \log (3)+(x+\log (3))^{\genfrac {}{}{}{}{2 x^2}{5}} (2 x^2+(4 x^2+4 x \log (3)) \log (x+\log (3)))+(x+\log (3))^{\genfrac {}{}{}{}{x^2}{5}} (-30 x-6 x^3-30 \log (3)+(-12 x^3-12 x^2 \log (3)) \log (x+\log (3)))}{5 x+5 \log (3)} \, dx\) [446]
\(\int \genfrac {}{}{}{}{\genfrac {}{}{}{}{2 (4-4 e^x)}{e^8}+2 e^{-8+\genfrac {}{}{}{}{e^8 x}{2}} (1-e^x)+e^x (4+e^{\genfrac {}{}{}{}{e^8 x}{2}}) (\genfrac {}{}{}{}{8}{e^8}+(1+\genfrac {}{}{}{}{2}{e^8}) e^{\genfrac {}{}{}{}{e^8 x}{2}})}{\genfrac {}{}{}{}{8}{e^8}+2 e^{-8+\genfrac {}{}{}{}{e^8 x}{2}}} \, dx\) [447]
\(\int \genfrac {}{}{}{}{-3 x^2+4 x^3-2 x^4+(6 x-4 x^2) \log (2)-2 \log ^2(2)+(-x^2+2 x^3-x^4+(2 x-2 x^2) \log (2)-\log ^2(2)) \log (\genfrac {}{}{}{}{5}{x^2})}{x^2-2 x^3+x^4+(-2 x+2 x^2) \log (2)+\log ^2(2)} \, dx\) [448]
\(\int \genfrac {}{}{}{}{1}{625} e^{-x^2} (42050-1749712 x-99100 x^2+375150 x^3+10000 x^4-20000 x^5+(-336400-20000 x+792800 x^2+20000 x^3-80000 x^4) \log (5)+(-5000+456400 x+10000 x^2-120000 x^3) \log ^2(5)+(40000-80000 x^2) \log ^3(5)-20000 x \log ^4(5)) \, dx\) [449]
\(\int \genfrac {}{}{}{}{1}{3} (6-\log (\genfrac {}{}{}{}{1+3 \log (4)}{\log (4)})) \, dx\) [450]
\(\int (2-18 e^{9 x^2} x+3 x^2) \, dx\) [451]
\(\int \genfrac {}{}{}{}{-192 x^2-64 x^3-12 e^2 x^4+e (-96 x^3-12 x^4)+e^x (48 x^2+16 x^3-x^4+3 e^2 x^4+e (24 x^3+3 x^4))+(-96 x^2-16 x^3-24 e x^3+e^x (24 x^2+4 x^3+6 e x^3)) \log (4-e^x)+(-12 x^2+3 e^x x^2) \log ^2(4-e^x)}{-64-32 e x-4 e^2 x^2+e^x (16+8 e x+e^2 x^2)+(-32-8 e x+e^x (8+2 e x)) \log (4-e^x)+(-4+e^x) \log ^2(4-e^x)} \, dx\) [452]
\(\int e^{5+10 e^{18}+5 e^{36}} \, dx\) [453]
\(\int \genfrac {}{}{}{}{1}{2} e^{-4+e^{\genfrac {}{}{}{}{1}{2} (1-2 x+\log (x))}} (2+e^{\genfrac {}{}{}{}{1}{2} (1-2 x+\log (x))} (1-2 x)) \, dx\) [454]
\(\int \genfrac {}{}{}{}{7680+2974 x+66 x^2-11 x \log (x)+(-30-11 x) \log (30+11 x)}{270 x+99 x^2} \, dx\) [455]
\(\int \genfrac {}{}{}{}{-31-2 x}{253+31 x+x^2} \, dx\) [456]
\(\int \genfrac {}{}{}{}{(-56+2 x+56 x^3) \log (\genfrac {}{}{}{}{-28+3 x-14 x^3-x \log (x)}{x})}{28 x-3 x^2+14 x^4+x^2 \log (x)} \, dx\) [457]
\(\int \genfrac {}{}{}{}{e^{-1+e^{x^2}} (-10+e^{x^2} (40 x-20 x^2+e^x (8 x-4 x^2)))+e^{-1+e^{x^2}+x^2} (10 x+2 e^x x) \log (25+10 e^x+e^{2 x})}{5+e^x} \, dx\) [458]
\(\int \genfrac {}{}{}{}{4-4 x^2-8 x^2 \log (x)}{(x \log (\genfrac {}{}{}{}{3}{5 x})-x^3 \log (x)+x \log (x^2)) \log (-\log (\genfrac {}{}{}{}{3}{5 x})+x^2 \log (x)-\log (x^2))} \, dx\) [459]
\(\int \genfrac {}{}{}{}{4 x^2+4 x \log (x)+2 x \log ^2(x)+2 \log ^3(x)}{x} \, dx\) [460]
\(\int -\genfrac {}{}{}{}{16}{25 e^2 x^2} \, dx\) [461]
\(\int \genfrac {}{}{}{}{2 x+2 x^2+2 x^3+e (2+2 x)}{e+x^2} \, dx\) [462]
\(\int \genfrac {}{}{}{}{e^{4 x} (-2+x)+1944 x^{14}+e^{2 x} (18 x^7-36 x^8)}{324 x^9} \, dx\) [463]
\(\int \genfrac {}{}{}{}{34 x^2+15 x^3+e^{2 x} (-36+51 x+18 x^2)+e^x (18 x-66 x^2-18 x^3)+(-9 x^2-6 x^3+e^{2 x} (9-18 x-6 x^2)+e^x (24 x^2+6 x^3)) \log (x)}{-43 x^3-9 x^4+e^{2 x} (-27 x-9 x^2)+e^x (54 x^2+18 x^3)+(9 x^3+3 x^4+e^{2 x} (9 x+3 x^2)+e^x (-18 x^2-6 x^3)) \log (x)} \, dx\) [464]
\(\int \genfrac {}{}{}{}{1}{2} e^{-5+x} (-3-3 x) \, dx\) [465]
\(\int \genfrac {}{}{}{}{-3 e^{142/25}+e^{71/25} (-3-12 x)}{25+10 x+21 x^2+e^{142/25} x^2+4 x^3+4 x^4+e^{71/25} (10 x+2 x^2+4 x^3)+(10+2 x+2 e^{71/25} x+4 x^2) \log (\log (5))+\log ^2(\log (5))} \, dx\) [466]
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{108-120 x-4 x^2+16 x^3}{-1-x^2+x \log (5)}} (120+224 x-168 x^2-16 x^4+(-108-4 x^2+32 x^3) \log (5))}{1+2 x^2+x^4+(-2 x-2 x^3) \log (5)+x^2 \log ^2(5)} \, dx\) [467]
\(\int -\genfrac {}{}{}{}{1}{(2 x \log (x)+x \log (x) \log (\log (x))) \log (-2-\log (\log (x)))} \, dx\) [468]
\(\int \genfrac {}{}{}{}{1}{4 e^{19}} \, dx\) [469]
\(\int \genfrac {}{}{}{}{e^{-x} (e^{2 x} (-1+x)+e^{e^{-x} x} (4 x^2-4 x^3))}{4 x^2} \, dx\) [470]
\(\int \genfrac {}{}{}{}{1+e^4 (3 x^3+2 x^4+3 x^5)+2 \log (\genfrac {}{}{}{}{5}{3 x})}{e^4 x^3} \, dx\) [471]
\(\int (4+2 x-6 x^2+3 e^5 x^2) \, dx\) [472]
\(\int \genfrac {}{}{}{}{4 x^3 \log (x) \log ^2(\log (x))+e^{\genfrac {}{}{}{}{-8 x-5 e^3 x+x^2-10 \log (\log (x))}{\log (\log (x))}} (8+5 e^3-x+(-8-5 e^3+2 x) \log (x) \log (\log (x)))+e^{\genfrac {}{}{}{}{-8 x-5 e^3 x+x^2-10 \log (\log (x))}{2 \log (\log (x))}} (8 x^2+5 e^3 x^2-x^3+(-8 x^2-5 e^3 x^2+2 x^3) \log (x) \log (\log (x))+4 x \log (x) \log ^2(\log (x)))}{\log (x) \log ^2(\log (x))} \, dx\) [473]
\(\int \genfrac {}{}{}{}{192 x^2+12 x^4-x^6}{4096+1536 x^2+272 x^4+24 x^6+x^8} \, dx\) [474]
\(\int \genfrac {}{}{}{}{-5-4 x-4 x^2}{1+4 x+4 x^2} \, dx\) [475]
\(\int \genfrac {}{}{}{}{48+896 x-16 x^2+e^{2 x^2} (-12-864 x+48 x^2+192 x^3)}{144+9 e^{4 x^2}+96 x^2+16 x^4+e^{2 x^2} (-72-24 x^2)} \, dx\) [476]
\(\int \genfrac {}{}{}{}{e^5 (5184-122688 x)+e^5 (-9120+431840 x) \log (2 x)+e^5 (-67800+684600 x) \log ^2(2 x)+e^5 (-31500+220500 x) \log ^3(2 x)}{8+60 \log (2 x)+150 \log ^2(2 x)+125 \log ^3(2 x)} \, dx\) [477]
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{5 x-5 e^{2+x+25 x^2+50 x^3+25 x^4} x-5 x \log (\log (3 x))}{e^{2+x+25 x^2+50 x^3+25 x^4}+\log (\log (3 x))}} (-5+(-5 e^{4+2 x+50 x^2+100 x^3+50 x^4}+e^{2+x+25 x^2+50 x^3+25 x^4} (5-5 x-250 x^2-750 x^3-500 x^4)) \log (3 x)+(5-10 e^{2+x+25 x^2+50 x^3+25 x^4}) \log (3 x) \log (\log (3 x))-5 \log (3 x) \log ^2(\log (3 x)))}{e^{4+2 x+50 x^2+100 x^3+50 x^4} \log (3 x)+2 e^{2+x+25 x^2+50 x^3+25 x^4} \log (3 x) \log (\log (3 x))+\log (3 x) \log ^2(\log (3 x))} \, dx\) [478]
\(\int \genfrac {}{}{}{}{4 x+(96-16 x) \log (2)}{9 x^3 \log (2)} \, dx\) [479]
\(\int \genfrac {}{}{}{}{32 x-10 x^2+e^x (16 x-5 x^2)+(30 x-10 x^2+e^x (15 x+10 x^2-5 x^3)+(-6+2 x+e^x (-3-2 x+x^2)) \log (-12+4 x)) \log (5 x-\log (-12+4 x))}{75 x-25 x^2+(-15+5 x) \log (-12+4 x)} \, dx\) [480]
\(\int (1+e^{e^x+e^{\genfrac {}{}{}{}{1}{3} e^{e^x} (2 x+2 x^2)}+\genfrac {}{}{}{}{1}{3} e^{e^x} (2 x+2 x^2)} (2+4 x+e^x (2 x+2 x^2))) \, dx\) [481]
\(\int \genfrac {}{}{}{}{x-32 x^2+(4-x+16 x^2) \log (4-x+16 x^2)}{(4-x+16 x^2) \log ^2(4-x+16 x^2)} \, dx\) [482]
\(\int \genfrac {}{}{}{}{1+x+(1+2 x+x^2) \log (x)+(-2-4 x) \log (x) \log (x+x^2)}{(x+x^2) \log (x)} \, dx\) [483]
\(\int \genfrac {}{}{}{}{-2+e^{x^2}-x+2 e^{x^2} x^2 \log (x)}{x} \, dx\) [484]
\(\int (5+i \pi +2 x^2+(-4-i \pi -6 x^2) \log (\genfrac {}{}{}{}{5}{x})+(-1+\log (\genfrac {}{}{}{}{5}{x})) \log (x)) \, dx\) [485]
\(\int \genfrac {}{}{}{}{192 x-48 x^2+e^{x/16} (48 x-16 x^2)+(48 x+e^{x/16} (13 x+x^2)) \log (-48+12 x+e^{x/16} (-12+4 x))+(-96+24 x+e^{x/16} (-24+8 x)) \log ^2(-48+12 x+e^{x/16} (-12+4 x))}{-96+24 x+e^{x/16} (-24+8 x)} \, dx\) [486]
\(\int \genfrac {}{}{}{}{-1-3 x+3 x^2-21 x^7+3 x^8+x \log (2 x)}{3 x^2+3 x^8+x \log (2 x)} \, dx\) [487]
\(\int \genfrac {}{}{}{}{-2 x+e^{\genfrac {}{}{}{}{1}{2} (2+e^x)} (4 x-e^x x^2)+4 x \log (9 x)}{e^{2+e^x}+2 e^{\genfrac {}{}{}{}{1}{2} (2+e^x)} \log (9 x)+\log ^2(9 x)} \, dx\) [488]
\(\int \genfrac {}{}{}{}{8 x^2-x^3+e^{\genfrac {}{}{}{}{e^5}{x}} (12 e^6+3 e x^2)-x^2 \log (5)}{4 x^2+3 e^{1+\genfrac {}{}{}{}{e^5}{x}} x^2-x^3-x^2 \log (5)} \, dx\) [489]
\(\int \genfrac {}{}{}{}{2 x^2+(1-2 x+e^2 x) \log ^2(15+e)}{x \log ^2(15+e)} \, dx\) [490]
\(\int \genfrac {}{}{}{}{1+x+18 e^{1-6 e^{1+3 x}+3 x} x}{x} \, dx\) [491]
\(\int \genfrac {}{}{}{}{(-48-16 x) \log (3)}{80 x^4+40 x^5+5 x^6} \, dx\) [492]
\(\int \genfrac {}{}{}{}{-10+e^2}{e^2} \, dx\) [493]
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{\log (-\genfrac {}{}{}{}{6}{e x-x^2})-x \log (\log (1-x))}{\log (\log (1-x))}} ((-e x+x^2) \log (-\genfrac {}{}{}{}{6}{e x-x^2})+(e (1-x)-2 x+2 x^2) \log (1-x) \log (\log (1-x))+(x-2 x^2+x^3+e (-1+2 x-x^2)) \log (1-x) \log ^2(\log (1-x)))}{(e (-1+x)+x-x^2) \log (1-x) \log ^2(\log (1-x))} \, dx\) [494]
\(\int \genfrac {}{}{}{}{-15 x^3+e x (-20+3 x^2)}{e x^7} \, dx\) [495]
\(\int \genfrac {}{}{}{}{-2 e^{2 x}+e^{2 x} (-4+2 x) \log (2-x)}{(-2+x) \log ^3(2-x)} \, dx\) [496]
\(\int \genfrac {}{}{}{}{-1+3 x-2 x^2+x \log (x)}{x} \, dx\) [497]
\(\int \genfrac {}{}{}{}{18+54 x+75 x^2+144 x^3+104 x^4+96 x^5+48 x^6+e^5 (40 x+80 x^2+40 x^3)}{9+18 x+33 x^2+48 x^3+40 x^4+32 x^5+16 x^6} \, dx\) [498]
\(\int (e^{x^2} (600+4090 x+1200 x^2+90 x^3)+e^{x^2} (400+60 x) \log (x)+e^{x^2} (200+60 x+400 x^2+60 x^3) \log ^2(x)+20 e^{x^2} x \log ^3(x)+e^{x^2} (10 x+10 x^3) \log ^4(x)) \, dx\) [499]
\(\int \genfrac {}{}{}{}{-2 x^2+(-1+x) \log (4)+x \log (30)}{x} \, dx\) [500]