3.16 Integrals 1501 to 1600

\(\int \genfrac {}{}{}{}{e^{-\genfrac {}{}{}{}{x+(-2+x) \log (9 \log (x))}{-2+x}} (-4+4 x-x^2+(-4+6 x-x^2) \log (x))}{(20 x^2-20 x^3+5 x^4) \log (x)} \, dx\) [1501]
\(\int \genfrac {}{}{}{}{5 e^{4 x}+e^{4 x} (-5-20 x) \log (x)-11 \log ^2(x)+5 e^{e^x+x} \log ^2(x)}{5 \log ^2(x)} \, dx\) [1502]
\(\int e^{e^{4-6 x+6 x^2}-x} (-e^2+e^{6-6 x+6 x^2} (-6+12 x)) \, dx\) [1503]
\(\int \genfrac {}{}{}{}{e^{2+4 e^{e^x}+\genfrac {}{}{}{}{e^{2+4 e^{e^x}} (2+2 x)^2}{(3+x)^2}} (2+2 x)^2 (4+e^{e^x+x} (12+16 x+4 x^2))}{(3+x)^2 (3+4 x+x^2)} \, dx\) [1504]
\(\int \genfrac {}{}{}{}{e^x (1+e^4 (32-16 x)+(1+e^4 (16-16 x)) \log (3))+e^x (-1+e^4 (-16+16 x)) \log (-\genfrac {}{}{}{}{400}{-1+e^4 (-16+16 x)})}{-1+e^4 (-16+16 x)+(-2+e^4 (-32+32 x)) \log (3)+(-1+e^4 (-16+16 x)) \log ^2(3)+(2+e^4 (32-32 x)+(2+e^4 (32-32 x)) \log (3)) \log (-\genfrac {}{}{}{}{400}{-1+e^4 (-16+16 x)})+(-1+e^4 (-16+16 x)) \log ^2(-\genfrac {}{}{}{}{400}{-1+e^4 (-16+16 x)})} \, dx\) [1505]
\(\int \genfrac {}{}{}{}{e^{e^{\genfrac {}{}{}{}{10-4 x^2-5 \log (\log (5))}{4 x^2}}+\genfrac {}{}{}{}{10-4 x^2-5 \log (\log (5))}{4 x^2}} (-10+5 \log (\log (5)))}{2 x^3} \, dx\) [1506]
\(\int \genfrac {}{}{}{}{e^{-6+x^2+2 e^{4/x} x^2+e^{8/x} x^2} (e^2 (-1+2 x^2)+e^{2+\genfrac {}{}{}{}{8}{x}} (-8 x+2 x^2)+e^{2+\genfrac {}{}{}{}{4}{x}} (-8 x+4 x^2))}{x^2} \, dx\) [1507]
\(\int \genfrac {}{}{}{}{3-3 x+x^2+(-3+2 x) \log (49)+\log ^2(49)}{-3 x+x^2+(-3+2 x) \log (49)+\log ^2(49)} \, dx\) [1508]
\(\int \genfrac {}{}{}{}{e^x (162-5832 x+1458 x^2+729 x^3)+e^x (-81 x+2916 x^2-729 x^3) \log (x)}{-46656 x^4-34992 x^5-8748 x^6-729 x^7+(3888 x^3+1944 x^4+35235 x^5+17496 x^6+2187 x^7) \log (x)+(-108 x^2-27 x^3-1944 x^4-486 x^5-8748 x^6-2187 x^7) \log ^2(x)+(x+27 x^3+243 x^5+729 x^7) \log ^3(x)} \, dx\) [1509]
\(\int (e^{2 x} (-6 x-6 x^2)+e^x (-18 x-6 x^2+x^3)) \, dx\) [1510]
\(\int \genfrac {}{}{}{}{5 x-10 x^2+5 x^3+e^2 (4 x^2-2 x^3)+(2-4 x+2 x^2) \log (5)}{x-2 x^2+x^3} \, dx\) [1511]
\(\int \genfrac {}{}{}{}{-5-4 x^2}{5 x+80 x^2-4 x^3+6 x^2 \log (2)} \, dx\) [1512]
\(\int \genfrac {}{}{}{}{-2-8 x-x^2 \log (x)}{x^2} \, dx\) [1513]
\(\int \genfrac {}{}{}{}{1}{6} (9 x^2+18 e^4 x^2+24 x^3-22 x^{10}) \, dx\) [1514]
\(\int \genfrac {}{}{}{}{-45+30 x-48 x^2+(-45+96 x^2) \log (x^2)-48 x^2 \log ^2(x^2)}{5 x^2-10 x^2 \log (x^2)+5 x^2 \log ^2(x^2)} \, dx\) [1515]
\(\int \genfrac {}{}{}{}{e (-24-8 x)+42 x^2+(-18 x^2+e (24+8 x)) \log (x)+e (-6-2 x) \log ^2(x)}{4 e-4 e \log (x)+e \log ^2(x)} \, dx\) [1516]
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{4}{2+e^{\genfrac {}{}{}{}{2}{81} (4-36 \log (x)+81 \log ^2(x))}}} (72+18 e^{\genfrac {}{}{}{}{4}{81} (4-36 \log (x)+81 \log ^2(x))}+e^{\genfrac {}{}{}{}{2}{81} (4-36 \log (x)+81 \log ^2(x))} (136-288 \log (x)))}{36 \log (2)+36 e^{\genfrac {}{}{}{}{2}{81} (4-36 \log (x)+81 \log ^2(x))} \log (2)+9 e^{\genfrac {}{}{}{}{4}{81} (4-36 \log (x)+81 \log ^2(x))} \log (2)} \, dx\) [1517]
\(\int \genfrac {}{}{}{}{90+56 x-5 x^2-30 \log (x)}{576 x^2+240 x^3+25 x^4+(-288 x^2-60 x^3) \log (x)+36 x^2 \log ^2(x)} \, dx\) [1518]
\(\int \genfrac {}{}{}{}{1+2 x-6 x^2+\genfrac {}{}{}{}{1}{2} e^{-5+e^4+x} (2 x+7 x^2+2 x^3)}{x+x^2-2 x^3+\genfrac {}{}{}{}{1}{2} e^{-5+e^4+x} (x^2+2 x^3)} \, dx\) [1519]
\(\int \genfrac {}{}{}{}{128 e^8 x-16 e^8 x^2 (i \pi +\log (-\log (2 \log (\log (5)))))}{256 e^8-32 e^4 x^2+x^4+(-128 e^8 x+8 e^4 x^3) (i \pi +\log (-\log (2 \log (\log (5)))))+16 e^8 x^2 (i \pi +\log (-\log (2 \log (\log (5)))))^2} \, dx\) [1520]
\(\int \genfrac {}{}{}{}{-200000000 x^2-125000000 x^3+2500000 x^5+120000 x^6+37500 x^7+1600 x^8+6 x^{10}+e^{32} (-10000000000-200000000 x^2+20000 x^6+100 x^8)+e^{16} (-3000000000 x-1250000000 x^2-40000000 x^3+600000 x^5+125000 x^6+12000 x^7+50 x^9)}{9765625 x^5} \, dx\) [1521]
\(\int e^{-17-e^{3^{\genfrac {}{}{}{}{x}{e^8}}} (-3+x)+3 x} (e^8 (1+3 x)+e^{3^{\genfrac {}{}{}{}{x}{e^8}}} (-e^8 x+3^{\genfrac {}{}{}{}{x}{e^8}} (3 x-x^2) \log (3))) \, dx\) [1522]
\(\int \genfrac {}{}{}{}{-2+x}{x} \, dx\) [1523]
\(\int \genfrac {}{}{}{}{e^{e^x} (-1+e^x (-8+x)+e^{x^2} (-e^x+2 x))}{-256+64 x-4 x^2+e^{2 x^2} (-4+\log (3))+(64-16 x+x^2) \log (3)+e^{x^2} (-64+8 x+(16-2 x) \log (3))} \, dx\) [1524]
\(\int \genfrac {}{}{}{}{-5+4 x+e^4 x}{5 x} \, dx\) [1525]
\(\int \genfrac {}{}{}{}{-25920-60480 x-52560 x^2-20160 x^3-2880 x^4+(-72-168 x-72 x^2) \log (2)}{180 x^2+420 x^3+365 x^4+140 x^5+20 x^6} \, dx\) [1526]
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{2+x^3+x \log (\genfrac {}{}{}{}{5 \log (\genfrac {}{}{}{}{1}{x})-5 \log (x)}{x})}{x}} (2 x+(2+x-2 x^3) \log (\genfrac {}{}{}{}{1}{x})+(-2-x+2 x^3) \log (x))}{-x^2 \log (\genfrac {}{}{}{}{1}{x})+x^2 \log (x)} \, dx\) [1527]
\(\int (1+e^2 (-4-4 x)) \, dx\) [1528]
\(\int \genfrac {}{}{}{}{e^{e^{\genfrac {}{}{}{}{1}{x^2 \log ^2(2+\log (4))}}} (-2 e^{x+\genfrac {}{}{}{}{1}{x^2 \log ^2(2+\log (4))}}+e^x (x^2+x^3) \log ^2(2+\log (4)))}{8 x^2 \log ^2(2+\log (4))} \, dx\) [1529]
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{(-125+25 x^3) \log ^2(4)+4 x^6 \log (x)}{25 x^2 \log ^2(4)}} (4 x^6+(250+25 x^3) \log ^2(4)+16 x^6 \log (x))}{25 x^3 \log ^2(4)} \, dx\) [1530]
\(\int \genfrac {}{}{}{}{3 \sqrt [5]{e}-3 \sqrt [5]{e} \log (x)}{e^{2/5} x^2-2 \sqrt [5]{e} x \log (x)+\log ^2(x)} \, dx\) [1531]
\(\int \genfrac {}{}{}{}{-x^2+e^{\genfrac {}{}{}{}{-60+40 e^x+30 x+5 x^2}{x}} (60+5 x^2+e^x (-40+40 x))}{x^2} \, dx\) [1532]
\(\int \genfrac {}{}{}{}{-32768+73728 x-61440 x^2+23040 x^3-3840 x^4+288 x^5-8 x^6+(-24576 x+59392 x^2-55296 x^3+24960 x^4-5760 x^5+696 x^6-42 x^7+x^8+(-24576+59392 x-55296 x^2+24960 x^3-5760 x^4+696 x^5-42 x^6+x^7) \log (3)) \log (x^2+2 x \log (3)+\log ^2(3))+(49152-73728 x+33792 x^2-4608 x^3+192 x^4+(36864 x-61440 x^2+34560 x^3-7680 x^4+720 x^5-24 x^6+(36864-61440 x+34560 x^2-7680 x^3+720 x^4-24 x^5) \log (3)) \log (x^2+2 x \log (3)+\log ^2(3))) \log (\log (x^2+2 x \log (3)+\log ^2(3)))+(-24576+18432 x-1536 x^2+(-18432 x+16896 x^2-3456 x^3+192 x^4+(-18432+16896 x-3456 x^2+192 x^3) \log (3)) \log (x^2+2 x \log (3)+\log ^2(3))) \log ^2(\log (x^2+2 x \log (3)+\log ^2(3)))+(4096+(3072 x-512 x^2+(3072-512 x) \log (3)) \log (x^2+2 x \log (3)+\log ^2(3))) \log ^3(\log (x^2+2 x \log (3)+\log ^2(3)))}{(800 x+800 \log (3)) \log (x^2+2 x \log (3)+\log ^2(3))} \, dx\) [1533]
\(\int \genfrac {}{}{}{}{1}{3} (3+e^{e^{x/3}-x} (-3+e^{x/3})+30 x) \, dx\) [1534]
\(\int \genfrac {}{}{}{}{2+40 x^3-40 x^4+(-30 x^2+30 x^3) \log (4)}{-1+x} \, dx\) [1535]
\(\int \genfrac {}{}{}{}{e^{-2+\genfrac {}{}{}{}{2}{e^2 \log (\genfrac {}{}{}{}{-75+75 x+2 x^3-x^4}{-x^2+x^3})}} (-300+600 x-300 x^2-4 x^3+4 x^4-2 x^5)}{(-75 x+150 x^2-75 x^3+2 x^4-3 x^5+x^6) \log ^2(\genfrac {}{}{}{}{-75+75 x+2 x^3-x^4}{-x^2+x^3})} \, dx\) [1536]
\(\int \genfrac {}{}{}{}{e^{e^2+\genfrac {}{}{}{}{e^{e^2} (x+\log (4))}{-e^{\genfrac {}{}{}{}{1}{e^{26}}}+5 e^{e^2}}}}{-e^{\genfrac {}{}{}{}{1}{e^{26}}}+5 e^{e^2}} \, dx\) [1537]
\(\int \genfrac {}{}{}{}{-x^2+768 x^3+128 x^4+5 x^5+(512 x^3+96 x^4+4 x^5+e^x (2 x-1024 x^2-192 x^3-8 x^4)) \log (x)+(e^{2 x} (-1+512 x+96 x^2+4 x^3)+e^x (-768 x^2+128 x^3+27 x^4+x^5)) \log ^2(x)}{x^2-2 e^x x \log (x)+e^{2 x} \log ^2(x)} \, dx\) [1538]
\(\int \genfrac {}{}{}{}{-1800+900 x-300 x^2+330 x^3+132 x^4+(-150 x^3-170 x^4) \log (\genfrac {}{}{}{}{4}{x})+50 x^4 \log ^2(\genfrac {}{}{}{}{4}{x})}{25 x^3} \, dx\) [1539]
\(\int \genfrac {}{}{}{}{8-4 x^2}{5 x^2} \, dx\) [1540]
\(\int \genfrac {}{}{}{}{2+2 x+2 \log (16)-2 x \log (x)+(26 x+2 x^2) \log ^2(x)}{(-2 x-2 x^2-2 x \log (16)) \log (x)+(x+26 x^2+x^3+x \log (16)) \log ^2(x)} \, dx\) [1541]
\(\int \genfrac {}{}{}{}{112 x^6+288 x^{10}-144 x^{14}+(96 x^{10}-96 x^{14}) \log ^2(3)-16 x^{14} \log ^4(3)}{1+12 x^4+32 x^7+54 x^8+192 x^{11}+108 x^{12}+256 x^{14}+288 x^{15}+81 x^{16}+(4 x^4+36 x^8+64 x^{11}+108 x^{12}+192 x^{15}+108 x^{16}) \log ^2(3)+(6 x^8+36 x^{12}+32 x^{15}+54 x^{16}) \log ^4(3)+(4 x^{12}+12 x^{16}) \log ^6(3)+x^{16} \log ^8(3)} \, dx\) [1542]
\(\int \genfrac {}{}{}{}{e^{10} (5+e^4 (-3 x+4 x^2))+e^5 (-5 x^2+e^4 (4 x^2-5 x^3))}{3125 x^2-6250 x^3+3125 x^4+e^4 (3125 x^3-6250 x^4+3125 x^5)+e^8 (1250 x^4-2500 x^5+1250 x^6)+e^{12} (250 x^5-500 x^6+250 x^7)+e^{16} (25 x^6-50 x^7+25 x^8)+e^{20} (x^7-2 x^8+x^9)+e^{10} (3125-6250 x+3125 x^2+e^4 (3125 x-6250 x^2+3125 x^3)+e^8 (1250 x^2-2500 x^3+1250 x^4)+e^{12} (250 x^3-500 x^4+250 x^5)+e^{16} (25 x^4-50 x^5+25 x^6)+e^{20} (x^5-2 x^6+x^7))+e^5 (-6250 x+12500 x^2-6250 x^3+e^4 (-6250 x^2+12500 x^3-6250 x^4)+e^8 (-2500 x^3+5000 x^4-2500 x^5)+e^{12} (-500 x^4+1000 x^5-500 x^6)+e^{16} (-50 x^5+100 x^6-50 x^7)+e^{20} (-2 x^6+4 x^7-2 x^8))} \, dx\) [1543]
\(\int \genfrac {}{}{}{}{1}{5} e^{e^{-2 x} (3 e^{2 x}-4 x)-2 x} (e^{8+2 x} (-3+2 x)+e^8 (12 x-28 x^2+8 x^3)) \, dx\) [1544]
\(\int \genfrac {}{}{}{}{1}{9} (9+e^{\genfrac {}{}{}{}{1}{9} (160 x-32 x^2)} (160-64 x)) \, dx\) [1545]
\(\int \genfrac {}{}{}{}{4+4 x^2+e^x (7 x^2-x^3)}{x^2} \, dx\) [1546]
\(\int \genfrac {}{}{}{}{-4-x+(4+e^x (-4-x)) \log (x)+(4+x) \log (x) \log (-\genfrac {}{}{}{}{1}{(4+x) \log (x)})}{(4+x) \log (x)} \, dx\) [1547]
\(\int -e^{-2+e^{-2-x}-x} \, dx\) [1548]
\(\int \genfrac {}{}{}{}{30+896 x+980 x^2-944 x^3-640 x^4+400 x^5+(240 x^2+128 x^3-160 x^4) \log (5 x)+16 x^3 \log ^2(5 x)}{225+240 x-236 x^2-160 x^3+100 x^4+(60 x+32 x^2-40 x^3) \log (5 x)+4 x^2 \log ^2(5 x)} \, dx\) [1549]
\(\int \genfrac {}{}{}{}{e^{e^x} (250-200 x^2) \log (\log (\genfrac {}{}{}{}{x}{20+16 x^2}))+e^{e^x+x} (125 x+100 x^3) \log (\genfrac {}{}{}{}{x}{20+16 x^2}) \log ^2(\log (\genfrac {}{}{}{}{x}{20+16 x^2}))}{(5 x+4 x^3) \log (\genfrac {}{}{}{}{x}{20+16 x^2})} \, dx\) [1550]
\(\int \genfrac {}{}{}{}{-5-2 x+(-20-4 x+(40+8 x) \log (x)+(-5-x+(10+2 x) \log (x)) \log (5 x+x^2)) \log (4+\log (5 x+x^2))}{(20 x+4 x^2+(5 x+x^2) \log (5 x+x^2)) \log (4+\log (5 x+x^2))} \, dx\) [1551]
\(\int \genfrac {}{}{}{}{1}{9} e^{\genfrac {}{}{}{}{1}{9} (-4 x-4 e^{4+3 x} x)} (90-9 e^{\genfrac {}{}{}{}{1}{9} (4 x+4 e^{4+3 x} x)}-40 x+e^{4+3 x} (-40 x-120 x^2)) \, dx\) [1552]
\(\int \genfrac {}{}{}{}{-25+4 x^2+e^2 (-625-1000 x-600 x^2-160 x^3-16 x^4)+e^2 (625+1000 x+600 x^2+160 x^3+16 x^4) \log ^2(4)+e^{2 e^x} (-e^2+e^2 \log ^2(4))+e^{e^x} (1-e^x x+e^2 (50+40 x+8 x^2)+e^2 (-50-40 x-8 x^2) \log ^2(4))}{-625-1000 x-600 x^2-160 x^3-16 x^4+(625+1000 x+600 x^2+160 x^3+16 x^4) \log ^2(4)+e^{2 e^x} (-1+\log ^2(4))+e^{e^x} (50+40 x+8 x^2+(-50-40 x-8 x^2) \log ^2(4))} \, dx\) [1553]
\(\int \genfrac {}{}{}{}{-30 x-6 x^3+(-10+2 e^5-30 x-2 x^3) \log (\genfrac {}{}{}{}{1}{5} (-15+3 e^5-45 x-3 x^3))}{e^{10}+e^5 (-5-15 x-x^3)} \, dx\) [1554]
\(\int \genfrac {}{}{}{}{16+144 x+36 x^2+e^2 x^2+e (-8 x-20 x^2)}{16+16 x+4 x^2+e^2 x^2+e (-8 x-4 x^2)} \, dx\) [1555]
\(\int \genfrac {}{}{}{}{-26+26 x^2+e^{\genfrac {}{}{}{}{1-3 x-x^2}{x}} (-1-x^2)}{26 x^2} \, dx\) [1556]
\(\int \genfrac {}{}{}{}{-30 x+6 x^2+e^x (-45+54 x-9 x^2) \log (4)+(-90 x^2+18 x^3) \log (4)+(-10 x+2 x^2+e^x (-30+36 x-6 x^2) \log (4)+(-60 x^2+12 x^3) \log (4)) \log (5-x)+(e^x (-5+6 x-x^2) \log (4)+(-10 x^2+2 x^3) \log (4)) \log ^2(5-x)-2 x^2 \log (x)}{-45 x^2+9 x^3+(-30 x^2+6 x^3) \log (5-x)+(-5 x^2+x^3) \log ^2(5-x)} \, dx\) [1557]
\(\int (-1-5 e^x) \, dx\) [1558]
\(\int \genfrac {}{}{}{}{2 x^2+\log ^{e^{2 x} x}(3) (-4+8 x-4 x^2+e^{2 x} (4 x-12 x^3+8 x^4) \log (\log (3)))}{x^2-2 x^3+x^4} \, dx\) [1559]
\(\int \genfrac {}{}{}{}{15 x^2+e^{\genfrac {}{}{}{}{2 e^{6-x}}{3 x}} (27+12 x+3 x^2)+e^{\genfrac {}{}{}{}{e^{6-x}}{3 x}} (-30 x+e^{6-x} (4+8 x+5 x^2+x^3))}{12 x^2+12 x^3+3 x^4+e^{\genfrac {}{}{}{}{2 e^{6-x}}{3 x}} (12+12 x+3 x^2)+e^{\genfrac {}{}{}{}{e^{6-x}}{3 x}} (-24 x-24 x^2-6 x^3)} \, dx\) [1560]
\(\int \genfrac {}{}{}{}{-400 x^6+(100 x^3+100 x^4-640 x^5+400 x^6) \log (x)+(100 x^3+640 x^5) \log ^2(x)+(-50-75 x+295 x^2+160 x^3-8 x^5) \log ^3(x)}{8 x^5 \log ^3(x)} \, dx\) [1561]
\(\int \genfrac {}{}{}{}{-10 x^2+2 x^3-9 x^5+4 x^6-40 x^8+10 x^9+8 x^{12}+e^{5/2} (2 x^2+2 x^5+8 x^8)+(2+20 x^2-4 e^{5/2} x^2-2 x^3+4 x^6) \log (x)-4 \log ^2(x)}{x^5} \, dx\) [1562]
\(\int \genfrac {}{}{}{}{240 x^4+1713 x^5+3776 x^6+3328 x^7+1024 x^8+(-52 x^3+384 x^4+960 x^5+512 x^6) \log (4)+(-140 x^2-144 x^3) \log ^2(4)+(-44 x-32 x^2) \log ^3(4)-4 \log ^4(4)+(188 x^4+1136 x^5+1728 x^6+768 x^7+(-92 x^3+96 x^4+192 x^5) \log (4)+(-84 x^2-48 x^3) \log ^2(4)-12 x \log ^3(4)) \log (x)+(48 x^4+240 x^5+192 x^6-36 x^3 \log (4)-12 x^2 \log ^2(4)) \log ^2(x)+(4 x^4+16 x^5-4 x^3 \log (4)) \log ^3(x)}{x^5} \, dx\) [1563]
\(\int (1+e^{1+e^{1+2 x^2+x^4}+2 x^2+x^4} (4 x+4 x^3)) \, dx\) [1564]
\(\int \genfrac {}{}{}{}{(-30+5 x^3) \log (3)+((45+150 x^2+15 x^3) \log (3)+(15+50 x^2+5 x^3) \log (3) \log (\genfrac {}{}{}{}{-3-10 x^2-x^3}{2 x^2})) \log (3+\log (\genfrac {}{}{}{}{-3-10 x^2-x^3}{2 x^2}))}{9+30 x^2+3 x^3+(3+10 x^2+x^3) \log (\genfrac {}{}{}{}{-3-10 x^2-x^3}{2 x^2})} \, dx\) [1565]
\(\int \genfrac {}{}{}{}{e^{-4+\genfrac {}{}{}{}{e^{20+\genfrac {}{}{}{}{x}{4}} x+e^{x/4} \log (x)}{e^4 x^2}} (e^{x/4} (4+e^{20} (-4 x+x^2))+e^{x/4} (-8+x) \log (x))}{4 x^3} \, dx\) [1566]
\(\int \genfrac {}{}{}{}{-2 x^3 \log ^2(25) \log ^2(x)+(x^3 \log ^2(25) \log (x)+2 x^3 \log ^2(25) \log ^2(x)) \log (4 x)+128 x \log (25) \log (x) \log ^2(4 x)+(-64 x \log (25)-128 x \log (25) \log (x)) \log ^3(4 x)}{128 \log ^5(4 x)} \, dx\) [1567]
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{3-x^3+x^2 \log (11+5 x)}{-x+\log (11+5 x)}} (18+15 x+22 x^3+10 x^4+(-44 x^2-20 x^3) \log (11+5 x)+(22 x+10 x^2) \log ^2(11+5 x))}{11 x^2+5 x^3+(-22 x-10 x^2) \log (11+5 x)+(11+5 x) \log ^2(11+5 x)} \, dx\) [1568]
\(\int \genfrac {}{}{}{}{-250+e^{4 x} (9000+49500 x+60750 x^2+28125 x^3+4500 x^4+(1200+6600 x+8100 x^2+3750 x^3+600 x^4) \log (4)+(40+220 x+270 x^2+125 x^3+20 x^4) \log ^2(4))}{1800+2700 x+1350 x^2+225 x^3+(240+360 x+180 x^2+30 x^3) \log (4)+(8+12 x+6 x^2+x^3) \log ^2(4)} \, dx\) [1569]
\(\int \genfrac {}{}{}{}{4+3 x+4 x^2}{x+2 x^2+x^3} \, dx\) [1570]
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{1+e^{12} x}{x}} (x-x^2-4 x^5)+(e^{\genfrac {}{}{}{}{1+e^{12} x}{x}} (x-2 x^2+x^4-2 x^5)+e^{\genfrac {}{}{}{}{1+e^{12} x}{x}} (-1+2 x) \log (x)) \log (x+x^4-\log (x))}{-x-x^4+\log (x)} \, dx\) [1571]
\(\int \genfrac {}{}{}{}{-36+8 x-x^2}{16-8 x+x^2} \, dx\) [1572]
\(\int e^{-e^{2 e^{-x} x}} (3 e^x+e^{2 e^{-x} x} (-6+6 x)) \, dx\) [1573]
\(\int e^x (-1293+864 e-216 e^2+24 e^3-e^4-x) \, dx\) [1574]
\(\int \genfrac {}{}{}{}{-120 e^x+4 x-x^3+e^x (60 x-15 x^3) \log (\genfrac {}{}{}{}{4-x^2}{x^2})}{-60 x+15 x^3} \, dx\) [1575]
\(\int \genfrac {}{}{}{}{17-37 x+15 x^2+(7-17 x+6 x^2) \log (6)+(-7+17 x-6 x^2) \log (-7+3 x)}{-7+17 x-27 x^2+23 x^3-13 x^4+3 x^5} \, dx\) [1576]
\(\int \genfrac {}{}{}{}{3 e^3 x^2+e^{2 x} (3 x^2+2 x^3)}{\log (5)} \, dx\) [1577]
\(\int \genfrac {}{}{}{}{80-16 x-4 x^2+(80+4 x^2) \log (-\genfrac {}{}{}{}{x}{\log (5)})}{400-160 x-24 x^2+8 x^3+x^4} \, dx\) [1578]
\(\int \genfrac {}{}{}{}{e^{\log ^2(\genfrac {}{}{}{}{1}{2} (4+x^2+\log (2+e^x (-2+x))))} (8 x+e^x (-2-6 x+4 x^2)) \log (\genfrac {}{}{}{}{1}{2} (4+x^2+\log (2+e^x (-2+x))))}{8+2 x^2+e^x (-8+4 x-2 x^2+x^3)+(2+e^x (-2+x)) \log (2+e^x (-2+x))} \, dx\) [1579]
\(\int \genfrac {}{}{}{}{e (50 x+4 x^2) \log (3+25 x+x^2)+e (-3-25 x-x^2) \log ^2(3+25 x+x^2)}{3 x^2+25 x^3+x^4} \, dx\) [1580]
\(\int \genfrac {}{}{}{}{-3 x-8 \log (\genfrac {}{}{}{}{3}{16 x})+(-3 x+4 \log ^2(\genfrac {}{}{}{}{3}{16 x})) \log (\genfrac {}{}{}{}{1}{4} (-3 x+4 \log ^2(\genfrac {}{}{}{}{3}{16 x})))}{-3 x+4 \log ^2(\genfrac {}{}{}{}{3}{16 x})} \, dx\) [1581]
\(\int e^{-24+2 x} (8+8 e^{12} \log (4)+2 e^{24} \log ^2(4)) \, dx\) [1582]
\(\int \genfrac {}{}{}{}{e^x (50 x \log (5)+450 \log ^2(5))+(100 \log (5)+25 e^x \log (5)) \log (\genfrac {}{}{}{}{12}{4+e^x})}{(4+e^x) \log ^3(\genfrac {}{}{}{}{12}{4+e^x})} \, dx\) [1583]
\(\int \genfrac {}{}{}{}{e^{2 e^{6 x}-4 e^{3 x} x^2+2 x^4} ((24-8 x^2) \log (\genfrac {}{}{}{}{3+x^2-x \log (2)}{x})+(-96 x^4-32 x^6+32 x^5 \log (2)+e^{6 x} (-144 x-48 x^3+48 x^2 \log (2))+e^{3 x} (96 x^2+144 x^3+32 x^4+48 x^5+(-32 x^3-48 x^4) \log (2))) \log ^2(\genfrac {}{}{}{}{3+x^2-x \log (2)}{x}))}{-3 x-x^3+x^2 \log (2)} \, dx\) [1584]
\(\int 6 e^{11+e-2 e^{11-3 x}-3 x} \, dx\) [1585]
\(\int \genfrac {}{}{}{}{-1875 x^3-8250 x^4-4806 x^5+16380 x^6+5952 x^7-22224 x^8+2304 x^9+10560 x^{10}-5376 x^{11}+768 x^{12}-2 x^3 \log (3)+(11250 x^2+28875 x^3-16200 x^4-37980 x^5+53328 x^6+5328 x^7-34560 x^8+16320 x^9-2304 x^{10}) \log (x)+(-22500 x-20250 x^2+36900 x^3-37440 x^4-4896 x^5+30816 x^6-15552 x^7+2304 x^8) \log ^2(x)+(15000-1500 x+20400 x^2-20640 x^3+384 x^4+3648 x^5-768 x^6) \log ^3(x)+(-15000+18000 x-7200 x^2+960 x^3) \log ^4(x)}{6 x^5} \, dx\) [1586]
\(\int \genfrac {}{}{}{}{e^{e^3+x} (64 x+32 x^2)}{64 e^{2 e^3+2 x} x^4-16 e^{e^3+x} x^2 \log (16)+\log ^2(16)} \, dx\) [1587]
\(\int \genfrac {}{}{}{}{4-8 e^3+4 e^{3+x} x}{e^3 (1+2 x+x^2)} \, dx\) [1588]
\(\int \genfrac {}{}{}{}{-8 x-8 x^2+8 x \log (5)+(16 x+20 x^2+e^5 (4+8 x)+(-4 e^5-16 x) \log (5)) \log (e^5+x)+(e^5 (-12-24 x)-12 x-24 x^2+(12 e^5+12 x) \log (5)) \log ^2(e^5+x)+(9 x+16 x^2-3 x^3+e^5 (9+16 x-3 x^2)+(-9 x+2 x^2+e^5 (-9+2 x)) \log (5)) \log ^3(e^5+x)}{(e^5+x) \log ^3(e^5+x)} \, dx\) [1589]
\(\int \genfrac {}{}{}{}{-16-144 e^3+16 e^{e^9}+288 x}{x^2+81 e^6 x^2+e^{2 e^9} x^2-18 x^3+81 x^4+e^3 (18 x^2-162 x^3)+e^{e^9} (-2 x^2-18 e^3 x^2+18 x^3)} \, dx\) [1590]
\(\int e^{4 e^{2 x}-e^x (1-4 x)+x^2} (40 e^{2 x}+e^{-4 e^{2 x}+e^x (1-4 x)-x^2}+10 x+e^x (15+20 x)) \, dx\) [1591]
\(\int \genfrac {}{}{}{}{90+30 x+45 x^2+15 x^3+e^x (45-30 x-15 x^2)+e^{\genfrac {}{}{}{}{1}{5} (x+5 \log (3+x))} (-93-87 x-3 x^2+3 x^3+e^x (21+12 x))}{15 x^2+5 x^3+e^{\genfrac {}{}{}{}{2}{5} (x+5 \log (3+x))} (15+5 x)+e^{\genfrac {}{}{}{}{1}{5} (x+5 \log (3+x))} (-30 x-10 x^2)} \, dx\) [1592]
\(\int \genfrac {}{}{}{}{-6144 x^3+24 x^4+(-1572894 x^2+12288 x^3-24 x^4) \log (262149-2048 x+4 x^2)+(-262149+2048 x-4 x^2) \log ^2(262149-2048 x+4 x^2)}{(262149 x-2048 x^2+4 x^3) \log ^2(262149-2048 x+4 x^2)} \, dx\) [1593]
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{1}{9} (2 x^2+4 x^3+2 x^4+(4 x+4 x^2) \log (\genfrac {}{}{}{}{1}{8} (7 x+8 \log (x)))+2 \log ^2(\genfrac {}{}{}{}{1}{8} (7 x+8 \log (x))))} (32 x+60 x^2+56 x^3+84 x^4+56 x^5+(32 x^2+96 x^3+64 x^4) \log (x)+(32+28 x+28 x^2+56 x^3+(32 x+64 x^2) \log (x)) \log (\genfrac {}{}{}{}{1}{8} (7 x+8 \log (x))))}{63 x^2+72 x \log (x)} \, dx\) [1594]
\(\int \genfrac {}{}{}{}{1}{8} (33+e^{6-2 x}-x+e^{3-x} (-26+x-\log (3))+\log (3)) \, dx\) [1595]
\(\int \genfrac {}{}{}{}{-3 x \log (3)+e^{\genfrac {}{}{}{}{-x^2+(-2+2 x) \log (3)}{\log (3)}} (6 x^2-6 x \log (3))+(6 e^{\genfrac {}{}{}{}{-x^2+(-2+2 x) \log (3)}{\log (3)}} \log (3)+6 x \log (3)) \log (x)}{36 e^{\genfrac {}{}{}{}{-x^2+(-2+2 x) \log (3)}{\log (3)}} x \log (3)+36 x^2 \log (3)+(-12 e^{\genfrac {}{}{}{}{-x^2+(-2+2 x) \log (3)}{\log (3)}} x \log (3)-12 x^2 \log (3)) \log ^2(x)+(e^{\genfrac {}{}{}{}{-x^2+(-2+2 x) \log (3)}{\log (3)}} x \log (3)+x^2 \log (3)) \log ^4(x)+(12 e^{\genfrac {}{}{}{}{-x^2+(-2+2 x) \log (3)}{\log (3)}} x \log (3)+12 x^2 \log (3)+(-2 e^{\genfrac {}{}{}{}{-x^2+(-2+2 x) \log (3)}{\log (3)}} x \log (3)-2 x^2 \log (3)) \log ^2(x)) \log (e^{\genfrac {}{}{}{}{-x^2+(-2+2 x) \log (3)}{\log (3)}}+x)+(e^{\genfrac {}{}{}{}{-x^2+(-2+2 x) \log (3)}{\log (3)}} x \log (3)+x^2 \log (3)) \log ^2(e^{\genfrac {}{}{}{}{-x^2+(-2+2 x) \log (3)}{\log (3)}}+x)} \, dx\) [1596]
\(\int \genfrac {}{}{}{}{e^x \log (2)+(-1-20 x) \log (2)+(20 x \log (2)-e^x x \log (2)) \log (x)}{x \log ^2(x)} \, dx\) [1597]
\(\int \genfrac {}{}{}{}{-5+e^{9+e^{9-x}-x} (-50-25 x-3 x^2)}{50+25 x+3 x^2} \, dx\) [1598]
\(\int \genfrac {}{}{}{}{(4+2 e^4+2 \log (x)) \log (e^8 x+2 e^4 x \log (x)+x \log ^2(x))}{3 e^4 x+e^4 x \log (2)+(3 x+x \log (2)) \log (x)+(e^4 x+x \log (x)) \log ^2(e^8 x+2 e^4 x \log (x)+x \log ^2(x))} \, dx\) [1599]
\(\int \genfrac {}{}{}{}{e^{-2 x-\genfrac {}{}{}{}{1}{5} e^{-2 x} (5 e^{-e^x+x} x+x^2)} (-5 e^{2 x}-2 x^2+2 x^3+e^{-e^x+x} (-5 x+5 x^2+5 e^x x^2))}{5 x^2} \, dx\) [1600]