3.14 Integrals 1301 to 1400

\(\int e^{-2 x} (2 e^x+e^{9 e^{-2 x} x^2 \log ^2(x)} (18 x \log (x)+(18 x-18 x^2) \log ^2(x))) \, dx\) [1301]
\(\int \genfrac {}{}{}{}{x \log (x^2)+\genfrac {}{}{}{}{9 x^2 (-2+2 \log (x^2))}{5 e^5 \log (x^2)}}{x \log (x^2)} \, dx\) [1302]
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{x^4+x^2 \log (5)}{2+x^3+x \log (5)}} (8 x^3+x^6+(4 x+2 x^4) \log (5)+x^2 \log ^2(5))}{20+20 x^3+5 x^6+(20 x+10 x^4) \log (5)+5 x^2 \log ^2(5)} \, dx\) [1303]
\(\int \genfrac {}{}{}{}{-32000 x+9600 x^2-960 x^3-3968 x^4+720 x^5-32 x^6-80 x^7+6 x^8+e^5 (-8000+2400 x-240 x^2-792 x^3+140 x^4-6 x^5)}{-1000+300 x-30 x^2+x^3} \, dx\) [1304]
\(\int \genfrac {}{}{}{}{150 x^2+e^{\genfrac {}{}{}{}{e^x}{x^2}} (50 x^2+e^x (-50+25 x))}{2 x} \, dx\) [1305]
\(\int (1+e^3 (1-4 x)-2 x+6 x^2) \, dx\) [1306]
\(\int \genfrac {}{}{}{}{1-15 x+2 x^2+e^{-x+x^2} (x-x^2+2 x^3)+2 x \log (4)}{x} \, dx\) [1307]
\(\int \genfrac {}{}{}{}{e^{e^x} (-10+5 x-2 x^2-x^3+e^x (-10 x+9 x^2-4 x^3+x^4)+(-10+5 x+2 x^2-x^3+e^x (-10 x+9 x^2-4 x^3+x^4)) \log (4-4 x+x^2)+(-4 x+e^x (-4 x^2+2 x^3)+e^x (-4 x^2+2 x^3) \log (4-4 x+x^2)) \log (1+\log (4-4 x+x^2))+(-2+x+e^x (-2 x+x^2)+(-2+x+e^x (-2 x+x^2)) \log (4-4 x+x^2)) \log ^2(1+\log (4-4 x+x^2)))}{(5-2 x+x^2+2 x \log (1+\log (4-4 x+x^2))+\log ^2(1+\log (4-4 x+x^2))) (-10+9 x-4 x^2+x^3+(-10+9 x-4 x^2+x^3) \log (4-4 x+x^2)+(-4 x+2 x^2+(-4 x+2 x^2) \log (4-4 x+x^2)) \log (1+\log (4-4 x+x^2))+(-2+x+(-2+x) \log (4-4 x+x^2)) \log ^2(1+\log (4-4 x+x^2)))} \, dx\) [1308]
\(\int \genfrac {}{}{}{}{-36-6 x-3 x^2+e^x (-9+3 x-3 x^2)+(12+e^x (3-3 x)) \log (x^2)}{64-96 x+4 x^2+24 x^3+4 x^4+e^{2 x} (4-8 x+4 x^2)+e^x (32-56 x+16 x^2+8 x^3)+(-128+64 x+56 x^2+8 x^3+e^{2 x} (-8+8 x)+e^x (-64+48 x+16 x^2)) \log (x^2)+(64+4 e^{2 x}+32 x+4 x^2+e^x (32+8 x)) \log ^2(x^2)} \, dx\) [1309]
\(\int \genfrac {}{}{}{}{-4+38 x+(2-18 x) \log (\genfrac {}{}{}{}{25}{x^2 \log ^2(2)})+2 x \log ^2(\genfrac {}{}{}{}{25}{x^2 \log ^2(2)})}{16-8 \log (\genfrac {}{}{}{}{25}{x^2 \log ^2(2)})+\log ^2(\genfrac {}{}{}{}{25}{x^2 \log ^2(2)})} \, dx\) [1310]
\(\int \genfrac {}{}{}{}{e^{-2 x-4 x^2-4 x^4-x^6-\log ^2(x)} (-1-2 x-8 x^2-16 x^4-6 x^6-2 \log (x))}{x^2} \, dx\) [1311]
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{2 (3+x+x^2+x^3)}{x}} (-6+2 x^2+4 x^3)}{x^2} \, dx\) [1312]
\(\int \genfrac {}{}{}{}{-5+e^{8 e^{2-2 x}+24 e^{1-x} x+18 x^2} (-80 e^{2-2 x}+e^{1-x} (120-120 x)+180 x)}{32+2 e^{16 e^{2-2 x}+48 e^{1-x} x+36 x^2}+e^{8 e^{2-2 x}+24 e^{1-x} x+18 x^2} (-16-4 x)+16 x+2 x^2} \, dx\) [1313]
\(\int \genfrac {}{}{}{}{e^4 (-8+2 x)+(16 x-8 x^2+x^3+e^4 (-16 x+8 x^2-x^3)) \log (x^2)-e^4 x \log (x^2) \log (\log (x^2))}{e^4 (16 x-8 x^2+x^3) \log (x^2)} \, dx\) [1314]
\(\int \genfrac {}{}{}{}{8 e^{3+e^{e^3}}-27 x+(e^{3+e^{e^3}}-3 x) \log (\genfrac {}{}{}{}{-e^{3+e^{e^3}}+3 x}{2 x})}{e^{3+e^{e^3}}-3 x} \, dx\) [1315]
\(\int \genfrac {}{}{}{}{-24 x+4 e^{2 x} x+12 x^2+e^x (-12-8 x+8 x^2)}{3 x^2+e^{2 x} (1+x)+e^x (3+3 x+x^2)} \, dx\) [1316]
\(\int \genfrac {}{}{}{}{1}{8} (-16 e^4+(16 e^4-e^8 x) \log (3)+e^8 x \log ^2(3)+(16 e^4-e^8 x+2 e^8 x \log (3)) \log (\genfrac {}{}{}{}{3}{x})+e^8 x \log ^2(\genfrac {}{}{}{}{3}{x})) \, dx\) [1317]
\(\int \genfrac {}{}{}{}{2 x-8 x^2+2 (2-6 x) \log (\log (3))+\log (e^{-x} x) (4 x+4 \log (\log (3)))}{5-x^3-2 x^2 \log (\log (3))+\log (e^{-x} x) (x^2+2 x \log (\log (3)))} \, dx\) [1318]
\(\int \genfrac {}{}{}{}{1+32 e^{2 x} x+288 x^2+e^x (-96 x-96 x^2)}{x} \, dx\) [1319]
\(\int \genfrac {}{}{}{}{-36 x-36 x^2+(-36 x-12 x^2) \log (\genfrac {}{}{}{}{1}{e^2 (81 x^2+108 x^3+54 x^4+12 x^5+x^6)})+(30+10 x) \log ^2(\genfrac {}{}{}{}{1}{e^2 (81 x^2+108 x^3+54 x^4+12 x^5+x^6)})}{(3+x) \log ^2(\genfrac {}{}{}{}{1}{e^2 (81 x^2+108 x^3+54 x^4+12 x^5+x^6)})} \, dx\) [1320]
\(\int \genfrac {}{}{}{}{-36+e^{-6+2 x} (-9+18 x)}{(16 x+4 e^{-6+2 x} x) \log (\genfrac {}{}{}{}{x}{4+e^{-6+2 x}})+(-16 x-4 e^{-6+2 x} x) \log (\genfrac {}{}{}{}{x}{4+e^{-6+2 x}}) \log (\genfrac {}{}{}{}{1}{5} \log (\genfrac {}{}{}{}{x}{4+e^{-6+2 x}}))+(4 x+e^{-6+2 x} x) \log (\genfrac {}{}{}{}{x}{4+e^{-6+2 x}}) \log ^2(\genfrac {}{}{}{}{1}{5} \log (\genfrac {}{}{}{}{x}{4+e^{-6+2 x}}))} \, dx\) [1321]
\(\int \genfrac {}{}{}{}{e^{2-x} (e^{-5+x} x-3 \log (3))^4 (8 e^{-5+x} x-24 \log (3)+(e^{-5+x} (4 x+3 x^2)+3 x \log (3)) \log (\genfrac {}{}{}{}{2}{x^2}))}{81 (e^{-5+x} x^2-3 x \log (3)) \log ^5(\genfrac {}{}{}{}{2}{x^2})} \, dx\) [1322]
\(\int e^{-7+e^{e+2 x}-x} (e (1-x)+2 e^{1+e+2 x} x) \, dx\) [1323]
\(\int (-6+2 x) \, dx\) [1324]
\(\int \genfrac {}{}{}{}{64 x^2+27 e^{\genfrac {}{}{}{}{3 (-1+2 x)}{x}} x^4-81 e^{\genfrac {}{}{}{}{2 (-1+2 x)}{x}} x^5-27 x^7+128 x^2 \log (2)+64 x^2 \log ^2(2)+e^{\genfrac {}{}{}{}{-1+2 x}{x}} (-32-32 x+81 x^6+(-64-64 x) \log (2)+(-32-32 x) \log ^2(2))}{9 e^{\genfrac {}{}{}{}{3 (-1+2 x)}{x}} x^4-27 e^{\genfrac {}{}{}{}{2 (-1+2 x)}{x}} x^5+27 e^{\genfrac {}{}{}{}{-1+2 x}{x}} x^6-9 x^7} \, dx\) [1325]
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{25 x^4+(x+400 x^3+25 x^4) \log (x)}{25 x+(400+25 x) \log (x)}} (x+75 x^4+(2400 x^3+150 x^4) \log (x)+(16+19200 x^2+2400 x^3+75 x^4) \log ^2(x))}{25 x^2+(800 x+50 x^2) \log (x)+(6400+800 x+25 x^2) \log ^2(x)} \, dx\) [1326]
\(\int \genfrac {}{}{}{}{6 x+3 x^2+2 x \log (\genfrac {}{}{}{}{1+2 e^3+e^6}{4 e^6})}{9+18 x+9 x^2+(6+6 x) \log (\genfrac {}{}{}{}{1+2 e^3+e^6}{4 e^6})+\log ^2(\genfrac {}{}{}{}{1+2 e^3+e^6}{4 e^6})} \, dx\) [1327]
\(\int \genfrac {}{}{}{}{88 e^5+e (33+88 x)}{16 e} \, dx\) [1328]
\(\int \genfrac {}{}{}{}{-625 e^x x+e^x (625-625 x) \log (3 e^x)+e^x (-100+100 x) \log ^2(3 e^x)}{10000 x^2-3200 x^2 \log (3 e^x)+256 x^2 \log ^2(3 e^x)} \, dx\) [1329]
\(\int \genfrac {}{}{}{}{54-6 x^2+(72 x+8 x^2+8 x^3) \log (\genfrac {}{}{}{}{9+x+x^2}{x}) \log ^2(\log (\genfrac {}{}{}{}{9+x+x^2}{x}))}{((27 x+3 x^2+3 x^3) \log (\genfrac {}{}{}{}{9+x+x^2}{x}) \log (\log (\genfrac {}{}{}{}{9+x+x^2}{x}))+(-45 x+31 x^2-x^3+4 x^4) \log (\genfrac {}{}{}{}{9+x+x^2}{x}) \log ^2(\log (\genfrac {}{}{}{}{9+x+x^2}{x}))) \log (\genfrac {}{}{}{}{3+(-5+4 x) \log (\log (\genfrac {}{}{}{}{9+x+x^2}{x}))}{\log (\log (\genfrac {}{}{}{}{9+x+x^2}{x}))})} \, dx\) [1330]
\(\int \genfrac {}{}{}{}{e^{5+\genfrac {}{}{}{}{-e^5+2 x}{x}}}{x^2} \, dx\) [1331]
\(\int \genfrac {}{}{}{}{-54 x+3 x^2+12 e^x x^2+(6 x^2+e^x (-12 x^2+12 x^3)) \log (x)}{81-54 x+9 x^2+(-36 x+12 x^2+e^x (72 x-24 x^2)) \log (x)+(4 x^2-16 e^x x^2+16 e^{2 x} x^2) \log ^2(x)} \, dx\) [1332]
\(\int \genfrac {}{}{}{}{e^{3+e^5} (-20+12 x)+e^{3+e^5} (-20+24 x) \log (x)}{(25 x^2-30 x^3+9 x^4) \log ^2(x)} \, dx\) [1333]
\(\int \genfrac {}{}{}{}{-1800 x+1800 \log (4)+e^{x/5} (-360 x+72 x^2+(360-72 x) \log (4))+(1800 x+360 e^{x/5} x-360 x^2) \log (\genfrac {}{}{}{}{-75-15 e^{x/5}+15 x}{x})}{25 x+5 e^{x/5} x-5 x^2} \, dx\) [1334]
\(\int \genfrac {}{}{}{}{-e^x+3 e^{5 x}+e^{5 x} (1+5 x) \log (x^3)}{-2-e^x+e^{5 x} x \log (x^3)} \, dx\) [1335]
\(\int \genfrac {}{}{}{}{e^{1+e^5} x+e^{-4+2 e^5} (e^3 (-1+x)-2 e^6 x+e^{3+x} (2 x-x^2))-e^{-1+2 e^5} x \log (x)}{x+e^{-2+e^5} (2 e^x x+e^3 (-6 x+2 x^2))+e^{-4+2 e^5} (e^{2 x} x+e^{3+x} (-6 x+2 x^2)+e^6 (9 x-6 x^2+x^3))+(-2 e^{-2+e^5} x+e^{-4+2 e^5} (-2 e^x x+e^3 (6 x-2 x^2))) \log (x)+e^{-4+2 e^5} x \log ^2(x)} \, dx\) [1336]
\(\int \genfrac {}{}{}{}{(-8 x+4 x^2) \log (-2+x)+(2 x^2-x^3+(2-x) \log (3)) \log (-2+x) \log ^2(x^2)+(-2 x^2 \log (x^2)+(-x^3+x \log (3)) \log ^2(x^2)) \log (\genfrac {}{}{}{}{-2 x+(-x^2+\log (3)) \log (x^2)}{x \log (x^2)})}{(4 x^2-2 x^3) \log (x^2)+(2 x^3-x^4+(-2 x+x^2) \log (3)) \log ^2(x^2)} \, dx\) [1337]
\(\int \genfrac {}{}{}{}{16-24 e^{2 x}-16 x+e^x (40-8 x-4 x^2)}{-2 x+3 e^{2 x} x+e^x (-5 x-x^2)} \, dx\) [1338]
\(\int \genfrac {}{}{}{}{e^{e^x} (5-10 x+e^x (25-5 x+5 x^2)-80 x^2 \log ^3(x^2)+(-30 x^2+10 e^x x^3) \log ^4(x^2)-80 x^3 \log ^7(x^2)+(-20 x^3+5 e^x x^4) \log ^8(x^2))}{25-10 x+11 x^2-2 x^3+x^4+(20 x^3-4 x^4+4 x^5) \log ^4(x^2)+(10 x^4-2 x^5+6 x^6) \log ^8(x^2)+4 x^7 \log ^{12}(x^2)+x^8 \log ^{16}(x^2)} \, dx\) [1339]
\(\int \genfrac {}{}{}{}{648-8 e^3+e^{\genfrac {}{}{}{}{e^{2+x}}{4}} (324-4 e^3+e^{2+x} (-81 x+e^3 x))}{16+4 e^{\genfrac {}{}{}{}{e^{2+x}}{2}}+e^{\genfrac {}{}{}{}{e^{2+x}}{4}} (16-16 x)-32 x+16 x^2} \, dx\) [1340]
\(\int e^{\genfrac {}{}{}{}{1}{2} (-e^x+x)} (-6 x^2-x^3+e^x x^3) \, dx\) [1341]
\(\int \genfrac {}{}{}{}{10 x^2+4 x^3+e^{5+x^2 \log (7)} (1+2 x^2+(-2 x^2+20 x^3+4 x^4) \log (7))}{2 x^2} \, dx\) [1342]
\(\int \genfrac {}{}{}{}{-\genfrac {}{}{}{}{240}{e^3}+e^{e^{-3+e^{e^x}}} (-\genfrac {}{}{}{}{60}{e^3}+4 e^{-6+e^{e^x}+e^x+x} x^2)+(-\genfrac {}{}{}{}{32 x}{e^3}-8 e^{-3+e^{-3+e^{e^x}}} x) \log (4+e^{e^{-3+e^{e^x}}})}{4 x^4+e^{e^{-3+e^{e^x}}} x^4} \, dx\) [1343]
\(\int \genfrac {}{}{}{}{8 x^3+6 x^5-4 x^6+e^{x^2} (16-16 x^2+x^3-4 x^4+2 x^5)}{8 x^4+2 x^6-x^7+e^{x^2} (-8 x-2 x^3+x^4)} \, dx\) [1344]
\(\int \genfrac {}{}{}{}{-3 \log (144)-3 e^9 x \log (4 x)}{x \log (144) \log (4 x)} \, dx\) [1345]
\(\int -\genfrac {}{}{}{}{1}{\log (4)} \, dx\) [1346]
\(\int \genfrac {}{}{}{}{e^x (-4+9 x+3 x^2)}{121+330 x+291 x^2+90 x^3+9 x^4} \, dx\) [1347]
\(\int \genfrac {}{}{}{}{4-4 x-8 x^2+4 x^3+16 x^4+16 x^5+(4+16 x-4 x^2-24 x^3-32 x^4) \log (\log (5))+(-8+8 x^2+16 x^3) \log ^2(\log (5))+(8 x^2+32 x^3+32 x^4+(-8 x-48 x^2-64 x^3) \log (\log (5))+(16 x+32 x^2) \log ^2(\log (5))) \log (\genfrac {}{}{}{}{1+2 x-2 \log (\log (5))}{-x+\log (\log (5))})+(4 x+16 x^2+16 x^3+(-4-24 x-32 x^2) \log (\log (5))+(8+16 x) \log ^2(\log (5))) \log ^2(\genfrac {}{}{}{}{1+2 x-2 \log (\log (5))}{-x+\log (\log (5))})}{x^3+2 x^4+(-x^2-4 x^3) \log (\log (5))+2 x^2 \log ^2(\log (5))+(2 x^2+4 x^3+(-2 x-8 x^2) \log (\log (5))+4 x \log ^2(\log (5))) \log (\genfrac {}{}{}{}{1+2 x-2 \log (\log (5))}{-x+\log (\log (5))})+(x+2 x^2+(-1-4 x) \log (\log (5))+2 \log ^2(\log (5))) \log ^2(\genfrac {}{}{}{}{1+2 x-2 \log (\log (5))}{-x+\log (\log (5))})} \, dx\) [1348]
\(\int \genfrac {}{}{}{}{e^{e^{-4+e^{\genfrac {}{}{}{}{1}{4} (e^x+8 x)}}} (e^{-4+e^{\genfrac {}{}{}{}{1}{4} (e^x+8 x)}+\genfrac {}{}{}{}{1}{4} (e^x+8 x)+\log ^2(x)} (8 x+e^x x)+8 e^{\log ^2(x)} \log (x))}{8 x} \, dx\) [1349]
\(\int \genfrac {}{}{}{}{-3+x^2}{x^2} \, dx\) [1350]
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{1}{12} (x^2-\log (x))} (-1+2 x^2)}{12 x} \, dx\) [1351]
\(\int \genfrac {}{}{}{}{24+e^{2 x^2} (6+24 x^2-32 \log (4))-64 \log (4)-4 e^{4 x^2} \log (4)}{16 x^2+8 e^{2 x^2} x^2+e^{4 x^2} x^2} \, dx\) [1352]
\(\int \genfrac {}{}{}{}{e^{10+x} (x^3+x^4+e^{\genfrac {}{}{}{}{2 (625+4 x^2)}{x^2}} (-2500+x^3))}{x^3} \, dx\) [1353]
\(\int \genfrac {}{}{}{}{2 e+32 x^3+(e+16 x^3) (i \pi +\log (-((-3+e) e^3)))}{e} \, dx\) [1354]
\(\int \genfrac {}{}{}{}{4+8 x+14 x^2+24 x^3+36 x^4+32 x^5+18 x^6+6 x^7+x^8}{-2 x-2 x^2-x^3+(8 x^3+24 x^4+36 x^5+32 x^6+18 x^7+6 x^8+x^9) \log (x)} \, dx\) [1355]
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{8-4 x+64 e^{2 x} x+(128-64 x) \log (2)}{x+16 x \log (2)}} (-8+128 e^{2 x} x^2-128 \log (2))}{x^2+16 x^2 \log (2)} \, dx\) [1356]
\(\int \genfrac {}{}{}{}{-300+170 x-10 x^2-130 x \log (2 x) \log (\log (2 x)) \log (\log (\log (2 x)))+(-900 x+120 x^2-4 x^3) \log (2 x) \log (\log (2 x)) \log ^2(\log (\log (2 x)))}{(225 x-30 x^2+x^3) \log (2 x) \log (\log (2 x)) \log ^2(\log (\log (2 x)))} \, dx\) [1357]
\(\int (55+e^2 (44-22 x)-11 x-11 e^4 x) \, dx\) [1358]
\(\int \genfrac {}{}{}{}{2-6 x+e^{18} (-100 x-20 e x-e^2 x)}{-6 x^2+e^{18} (-100 x^2-20 e x^2-e^2 x^2)+2 x \log (x)} \, dx\) [1359]
\(\int \genfrac {}{}{}{}{-12-4 x}{144+84 x+16 x^2+x^3+(-48-20 x-2 x^2) \log (4+x)+(4+x) \log ^2(4+x)} \, dx\) [1360]
\(\int \genfrac {}{}{}{}{2 \log (-5 x)}{x} \, dx\) [1361]
\(\int \genfrac {}{}{}{}{-1-e^4+6 x-3 x^2+e^{2 x} (13+e^4 (13-2 x)+12 x+11 x^2-2 x^3)}{-3+e^4 (-3+x)+x-3 x^2+x^3+e^{2 x} (-7+e^4 (-7+x)+x-7 x^2+x^3)} \, dx\) [1362]
\(\int \genfrac {}{}{}{}{-10 x^2+e^x (-10+2 x-e^5 x^2-2 x^3)+(10 x^2+e^x (10+e^5 x^2+2 x^3)) \log (x)}{-2 e^x x^2+2 e^x x^2 \log (x)} \, dx\) [1363]
\(\int \genfrac {}{}{}{}{-2-8 e^4}{3-2 x-8 e^4 x+2 e^4 \log (5)} \, dx\) [1364]
\(\int (1+20 e^5+e^x) \, dx\) [1365]
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{1}{4} (-99+20 e^{e^x})} (-1+5 e^{e^x+x} x)}{x^2} \, dx\) [1366]
\(\int \genfrac {}{}{}{}{1}{8} (250-125 x) \, dx\) [1367]
\(\int \genfrac {}{}{}{}{e^x \log (5)+e^x \log (5) \log (x)+e^x (-1+x) \log (5) \log (x) \log (x \log (x))}{x^2 \log (x)} \, dx\) [1368]
\(\int \genfrac {}{}{}{}{1-8 x \log (x)}{2 x \log (x)} \, dx\) [1369]
\(\int \genfrac {}{}{}{}{-3+7 x+3 e^x x}{3 x} \, dx\) [1370]
\(\int \genfrac {}{}{}{}{e^{e^8} (20-4 e^x)+e^{e^8} (-20+4 e^x) \log (x)+e^{e^8} (10+e^x (-2+2 x)) \log (x) \log (\genfrac {}{}{}{}{x}{\log (x)}) \log (\log ^2(\genfrac {}{}{}{}{x}{\log (x)}))}{(25-10 e^x+e^{2 x}) \log (x) \log (\genfrac {}{}{}{}{x}{\log (x)}) \log ^2(\log ^2(\genfrac {}{}{}{}{x}{\log (x)}))} \, dx\) [1371]
\(\int \genfrac {}{}{}{}{2 x+3 x^2+3 \log (5)+(-x-3 x^2-\log (5)) \log (\genfrac {}{}{}{}{x+3 x^2+\log (5)}{3 x})}{-x-5 x^2-6 x^3+(-1-2 x) \log (5)+(x^2+3 x^3+x \log (5)) \log (\genfrac {}{}{}{}{x+3 x^2+\log (5)}{3 x})} \, dx\) [1372]
\(\int \genfrac {}{}{}{}{(-15-3 e^x+3 x) \log (5 x+e^x x-x^2)+(-40 x+16 x^2+e^x (-8 x-8 x^2)) \log (\log (5 x+e^x x-x^2))+(-120-24 e^x+24 x) \log (5 x+e^x x-x^2) \log ^2(\log (5 x+e^x x-x^2))+(-240-48 e^x+48 x) \log (5 x+e^x x-x^2) \log ^4(\log (5 x+e^x x-x^2))}{(15 x^2+3 e^x x^2-3 x^3) \log (5 x+e^x x-x^2)+(120 x^2+24 e^x x^2-24 x^3) \log (5 x+e^x x-x^2) \log ^2(\log (5 x+e^x x-x^2))+(240 x^2+48 e^x x^2-48 x^3) \log (5 x+e^x x-x^2) \log ^4(\log (5 x+e^x x-x^2))} \, dx\) [1373]
\(\int \genfrac {}{}{}{}{1}{3} e^{\genfrac {}{}{}{}{1}{3} (12-43 x+12 x^2)} (-172+96 x) \, dx\) [1374]
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{6}{-9-5 x+3 \log (x)}} (-36-39 x-60 x^2-25 x^3+(54 x+30 x^2) \log (x)-9 x \log ^2(x))}{324 x+684 x^2+541 x^3+190 x^4+25 x^5+(-216 x-336 x^2-174 x^3-30 x^4) \log (x)+(36 x+36 x^2+9 x^3) \log ^2(x)} \, dx\) [1375]
\(\int \genfrac {}{}{}{}{e^{-2 x} (112+80 x+e^{2 x} (-8-60 x-150 x^2-125 x^3))}{8+60 x+150 x^2+125 x^3} \, dx\) [1376]
\(\int \genfrac {}{}{}{}{1}{6} (2 x-216 x^2+24 x^3+e^x (9 x^2+3 x^3)) \, dx\) [1377]
\(\int \genfrac {}{}{}{}{1}{5} e^{\genfrac {}{}{}{}{1}{5} (-16 x-2 e x-2 e^4 x+2 x^2)} (-48-6 e-6 e^4+5 e^{\genfrac {}{}{}{}{1}{5} (16 x+2 e x+2 e^4 x-2 x^2)}+12 x) \, dx\) [1378]
\(\int \genfrac {}{}{}{}{-2 x-2 e^4 x+(2 x+2 e^4 x) \log (x)+9 \log ^3(x)}{\log ^3(x)} \, dx\) [1379]
\(\int \genfrac {}{}{}{}{e^{2 e^{-x^5+2 x^4 \log (\genfrac {}{}{}{}{45+x \log (5)}{x})-x^3 \log ^2(\genfrac {}{}{}{}{45+x \log (5)}{x})}-x^5+2 x^4 \log (\genfrac {}{}{}{}{45+x \log (5)}{x})-x^3 \log ^2(\genfrac {}{}{}{}{45+x \log (5)}{x})} (-180 x^3-450 x^4-10 x^5 \log (5)+(180 x^2+720 x^3+16 x^4 \log (5)) \log (\genfrac {}{}{}{}{45+x \log (5)}{x})+(-270 x^2-6 x^3 \log (5)) \log ^2(\genfrac {}{}{}{}{45+x \log (5)}{x}))}{45+x \log (5)} \, dx\) [1380]
\(\int \genfrac {}{}{}{}{-9-3 e+3 \log (36 x^2-12 x^2 \log (3)+x^2 \log ^2(3))}{x^2} \, dx\) [1381]
\(\int \genfrac {}{}{}{}{1}{25} (340-2724 x-2580 x^2+7396 x^3+e^{10} (-100+860 x)) \, dx\) [1382]
\(\int \genfrac {}{}{}{}{10+10 e^{4 x/5}+e^{3 x/5} (40-40 x)-40 x+60 x^2-40 x^3+10 x^4+e^{2 x/5} (60-120 x+60 x^2)+e^{x/5} (40-120 x+120 x^2-40 x^3)+(10+60 x^2-80 x^3+30 x^4+e^{4 x/5} (-10+8 x)+e^{3 x/5} (-40+24 x-24 x^2)+e^{2 x/5} (-60+24 x+12 x^2+24 x^3)+e^{x/5} (-40+8 x+96 x^2-56 x^3-8 x^4)) \log (x)-10 \log ^2(x)}{5 x^2} \, dx\) [1383]
\(\int \genfrac {}{}{}{}{-12-34 x+12 x^2+e (-1+8 x)+(-16-x+4 x^2) \log (-64-4 x+16 x^2)}{-16-x+4 x^2} \, dx\) [1384]
\(\int (5+e^{e^{2 e^{5-x}}+x} (1-2 e^{5+2 e^{5-x}-x})+2 x) \, dx\) [1385]
\(\int \genfrac {}{}{}{}{e^{-2+\genfrac {}{}{}{}{e^{4 x}+4 e^{3 x} x^2-9 e^2 x^3+6 e^{2 x} x^4+4 e^x x^6+x^8}{9 e^2 x^2}} (18 x^8+6 x^9+e^{4 x} (-6+10 x+4 x^2)+e^2 (-36 x^3-9 x^4)+e^{3 x} (36 x^3+12 x^4)+e^{2 x} (36 x^4+48 x^5+12 x^6)+e^x (48 x^6+28 x^7+4 x^8))}{243 x^3+162 x^4+27 x^5} \, dx\) [1386]
\(\int \genfrac {}{}{}{}{160-224 x+104 x^2-16 x^3+(-4-4 x+x^2) \log (4)}{448-288 x-80 x^2+72 x^3-8 x^4+(-4 x+x^3) \log (4)} \, dx\) [1387]
\(\int \genfrac {}{}{}{}{-3+9 x-2 x^2+(9-2 x) \log (2)}{3 x+3 \log (2)} \, dx\) [1388]
\(\int \genfrac {}{}{}{}{-5 x-x^2-6 x^3+10 x^4-4 x^5+(-10+2 x) \log (2 x)+(-2 x-12 x^2+20 x^3-8 x^4) \log ^2(2 x)+(-6 x+10 x^2-4 x^3) \log ^4(2 x)+(-x^2-3 x^3-x^5+(-x-6 x^2-2 x^4) \log ^2(2 x)+(-3 x-x^3) \log ^4(2 x)) \log (\genfrac {}{}{}{}{1+3 x+x^3+(3+x^2) \log ^2(2 x)}{x+\log ^2(2 x)})}{x^2+3 x^3+x^5+(x+6 x^2+2 x^4) \log ^2(2 x)+(3 x+x^3) \log ^4(2 x)} \, dx\) [1389]
\(\int \genfrac {}{}{}{}{e^{98}}{x^2} \, dx\) [1390]
\(\int \genfrac {}{}{}{}{-180-72 x+9 x^2+e^2 (120+48 x-6 x^2)+e^4 (-20-8 x+x^2)+e^{-8+2 x} (-20-8 x+x^2)+e^{-4+x} (120+48 x-131 x^2-50 x^3-5 x^4+e^2 (-40-16 x+2 x^2))}{225 x^2+90 x^3+9 x^4+e^2 (-150 x^2-60 x^3-6 x^4)+e^4 (25 x^2+10 x^3+x^4)+e^{-8+2 x} (25 x^2+10 x^3+x^4)+e^{-4+x} (-150 x^2-60 x^3-6 x^4+e^2 (50 x^2+20 x^3+2 x^4))} \, dx\) [1391]
\(\int \genfrac {}{}{}{}{x^3-10 e^{\genfrac {}{}{}{}{2}{e^3}-5 x^2} x^4+e^x (-6-x+4 x^2)}{x^3} \, dx\) [1392]
\(\int \genfrac {}{}{}{}{4 x+4 x^2+e^{5+e} (4 x+4 x^2)}{1+4 x+12 x^2+16 x^3+16 x^4} \, dx\) [1393]
\(\int \genfrac {}{}{}{}{1-2 e^7+(7-6 e^7) \log (x)+6 \log ^2(x)}{(x-2 e^7 x) \log (x)+2 x \log ^2(x)} \, dx\) [1394]
\(\int \genfrac {}{}{}{}{-480-84 x+21 x^2+3 x^3+e^{25+10 x+x^2} (-160-28 x+7 x^2+x^3) \log (5-x)+(60 x-12 x^2+e^{25+10 x+x^2} (32 x+12 x^2+x^3)+e^{25+10 x+x^2} (-1580 x-604 x^2+14 x^3+24 x^4+2 x^5) \log (5-x)) \log (x)}{(-480 x-84 x^2+21 x^3+3 x^4+e^{25+10 x+x^2} (-160 x-28 x^2+7 x^3+x^4) \log (5-x)) \log (x)} \, dx\) [1395]
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{-3 x+x^2+e^{2 x} (-5 x-2 x^2)+e^{2 x} \log (-3 x+x^2)}{x}} (-3 x^2+x^3+e^{2 x} (-3+2 x+36 x^2-4 x^4)+e^{2 x} (3-7 x+2 x^2) \log (-3 x+x^2))}{-3 x^2+x^3} \, dx\) [1396]
\(\int \genfrac {}{}{}{}{-2916-3240 e^4 x^2}{e^8 x^5} \, dx\) [1397]
\(\int \genfrac {}{}{}{}{-180000+640 x+191250 x^2-680 x^3+(-144000 x-71488 x^2-152744 x^3+544 x^4) \log (\genfrac {}{}{}{}{16+8 x+17 x^2}{16 x})+(-800+850 x^2+(-640 x-320 x^2-680 x^3) \log (\genfrac {}{}{}{}{16+8 x+17 x^2}{16 x})) \log (\log (\genfrac {}{}{}{}{16+8 x+17 x^2}{16 x}))}{(16 x+8 x^2+17 x^3) \log (\genfrac {}{}{}{}{16+8 x+17 x^2}{16 x})} \, dx\) [1398]
\(\int \genfrac {}{}{}{}{-2+x-\log (\genfrac {}{}{}{}{5}{2})+e^x (2-x+\log (\genfrac {}{}{}{}{5}{2}))-4 \log (2-x+\log (\genfrac {}{}{}{}{5}{2}))}{2-x+\log (\genfrac {}{}{}{}{5}{2})} \, dx\) [1399]
\(\int \genfrac {}{}{}{}{-100-10 x^3+x^5+2 x^6-400 e^{50 x^2} x^6}{x^5 \log (3)} \, dx\) [1400]