3.56 Integrals 5501 to 5600

   \(\int \genfrac {}{}{}{}{4 x^3+e^{e^{x^2}} (2-4 e^{x^2} x^2)}{e^{2 e^{x^2}}-2 e^{e^{x^2}} x^3+x^6} \, dx\) [5501]
   \(\int e^{\genfrac {}{}{}{}{-x+4 x^3-16 \log ^2(x)}{x}} (4 x+16 x^3-64 \log (x)+32 \log ^2(x)) \, dx\) [5502]
   \(\int \genfrac {}{}{}{}{-36 x+13 x^2-x^3+(640-340 x+40 x^2) \log (x)+(320-160 x+20 x^2) \log (4 x^2)}{16 x-8 x^2+x^3} \, dx\) [5503]
   \(\int \genfrac {}{}{}{}{e^9 (-10-100 x^3)+e^{10} (-25-50 x-250 x^3-125 x^4)}{4 e^8 x^2+e^9 (20 x^2+20 x^3)+e^{10} (25 x^2+50 x^3+25 x^4)} \, dx\) [5504]
   \(\int e^{-\genfrac {}{}{}{}{4 (-3+\log (3))}{\log (2)}} (-e^{\genfrac {}{}{}{}{4 (-3+\log (3))}{\log (2)}}-4 x^3) \, dx\) [5505]
   \(\int \genfrac {}{}{}{}{e^{x^2+(1-2 x) \log (x)+\log ^2(x)} (-48+30 x-12 x^2-36 x^3+(-48+12 x+36 x^2) \log (x))}{16+24 x+9 x^2} \, dx\) [5506]
   \(\int \genfrac {}{}{}{}{-2 e^{8+2 x}+3 \log (5)}{3 \log (5)} \, dx\) [5507]
   \(\int \genfrac {}{}{}{}{3+2 x+3 x \log (4)}{4 x} \, dx\) [5508]
   \(\int -81 e^{\genfrac {}{}{}{}{1}{2} (15-27 e^{2 x})+2 x} \, dx\) [5509]
   \(\int \genfrac {}{}{}{}{-2 e^{4 x}-8 e^{3 x} x+8 x^2-16 x^3-2 x^4+e^{2 x} (4 x-32 x^2+4 e^5 x^2)+e^5 (-2 x^2+4 x^3)+e^x (-12 x^2-28 x^3+e^5 (4 x^2+4 x^3))}{e^{2+4 x} x^2+4 e^{2+3 x} x^3+e^{2+2 x} (-2 x^3+6 x^4)+e^{2+x} (-4 x^4+4 x^5)+e^2 (x^4-2 x^5+x^6)} \, dx\) [5510]
   \(\int \genfrac {}{}{}{}{-10 x-20 e^{10} x+20 x^2+e^5 (-30 x+20 x^2)+(-4-4 e^{10}+4 x+e^5 (-8+4 x)) \log (3)+(-20 x^2-20 e^5 x^2+5 x^3+(-4 x-4 e^5 x+x^2) \log (3)) \log (4)+(-5 x^3-x^2 \log (3)) \log ^2(4)+(10 x+10 e^5 x+(2+2 e^5) \log (3)+(-20 x-20 e^5 x+10 x^2+(-4-4 e^5+2 x) \log (3)) \log (4)+(-10 x^2-2 x \log (3)) \log ^2(4)) \log (\genfrac {}{}{}{}{1}{5} (5 x+\log (3)))+((5 x+\log (3)) \log (4)+(-5 x-\log (3)) \log ^2(4)) \log ^2(\genfrac {}{}{}{}{1}{5} (5 x+\log (3)))}{20 x+40 e^5 x+20 e^{10} x+(4+8 e^5+4 e^{10}) \log (3)+(20 x^2+20 e^5 x^2+(4 x+4 e^5 x) \log (3)) \log (4)+(5 x^3+x^2 \log (3)) \log ^2(4)+((20 x+20 e^5 x+(4+4 e^5) \log (3)) \log (4)+(10 x^2+2 x \log (3)) \log ^2(4)) \log (\genfrac {}{}{}{}{1}{5} (5 x+\log (3)))+(5 x+\log (3)) \log ^2(4) \log ^2(\genfrac {}{}{}{}{1}{5} (5 x+\log (3)))} \, dx\) [5511]
   \(\int \genfrac {}{}{}{}{10 x+2 \log (5)}{5 x^2+x \log (5) \log (-\genfrac {}{}{}{}{x}{5})} \, dx\) [5512]
   \(\int \genfrac {}{}{}{}{-4+e^{24} (256-4 x^2)+e^{48} (-4096-6 x+128 x^2-x^4)}{4+e^{24} (-256+4 x^2)+e^{48} (4096-128 x^2+x^4)} \, dx\) [5513]
   \(\int -e \, dx\) [5514]
   \(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{1}{10} (1-5 e^{\genfrac {}{}{}{}{-1+x^2}{x}} x)+\genfrac {}{}{}{}{-1+x^2}{x}} (1+x+x^2)}{40 x} \, dx\) [5515]
   \(\int \genfrac {}{}{}{}{e^{-3+e^{\genfrac {}{}{}{}{-e^5 x+e^3 (9 x^2+9 x^3) \log (2)}{9 e^3 \log (2)}} x+\genfrac {}{}{}{}{-e^5 x+e^3 (9 x^2+9 x^3) \log (2)}{9 e^3 \log (2)}} (-e^5 x+e^3 (9+18 x^2+27 x^3) \log (2))}{9 \log (2)} \, dx\) [5516]
   \(\int \genfrac {}{}{}{}{-2+\log (x^2)}{\log ^2(x^2)} \, dx\) [5517]
   \(\int \genfrac {}{}{}{}{4-6 x+5 x^2-x^3}{2 x-3 x^2+x^3} \, dx\) [5518]
   \(\int (200 x+120 x^2+16 x^3+e^{2 x} (-2 x+2 x^2)+e^x (-20+12 x+28 x^2+4 x^3)) \, dx\) [5519]
   \(\int \genfrac {}{}{}{}{2+e (432+14256 x+20880 x^2+230416 x^3+185600 x^4+1216512 x^5+458752 x^6+2097152 x^7)+e (-432-14112 x-13872 x^2-150528 x^3-61440 x^4-393216 x^5) \log (4)+e (144+4656 x+2304 x^2+24576 x^3) \log ^2(4)+e (-16-512 x) \log ^3(4)}{x+e (162+216 x+3564 x^2+3480 x^3+28802 x^4+18560 x^5+101376 x^6+32768 x^7+131072 x^8)+e (-216-216 x-3528 x^2-2312 x^3-18816 x^4-6144 x^5-32768 x^6) \log (4)+e (108+72 x+1164 x^2+384 x^3+3072 x^4) \log ^2(4)+e (-24-8 x-128 x^2) \log ^3(4)+2 e \log ^4(4)} \, dx\) [5520]
   \(\int e^{-12+x} (e^{12}-e^{12-x}+8 x+4 x^2) \, dx\) [5521]
   \(\int (-1+12 x) \, dx\) [5522]
   \(\int \genfrac {}{}{}{}{e^{-4 x} (e^{4 x} (-18 x^2-2 x^3)+e^{6 x} (6 x+6 x^2+2 x^3)+e^{2 x} (12 x^3-4 x^4-2 x^5))}{675+675 x+225 x^2+25 x^3} \, dx\) [5523]
   \(\int \genfrac {}{}{}{}{1}{4} e^x (9+57 x+90 x^2+54 x^3+13 x^4+x^5+(18+78 x+72 x^2+22 x^3+2 x^4) \log (3)+(9+21 x+9 x^2+x^3) \log ^2(3)) \, dx\) [5524]
   \(\int \genfrac {}{}{}{}{50-27 x-23 x^2+x^3+(24 x-x^2) \log (x^2)}{25 x^2-x^3+(-25 x+x^2) \log (x^2)} \, dx\) [5525]
   \(\int \genfrac {}{}{}{}{6+e^{2 x} (-2+4 x)}{9-6 e^{2 x}+e^{4 x}} \, dx\) [5526]
   \(\int \genfrac {}{}{}{}{e^{1-2 e^3-4 x} (3+12 x) \log (2)}{e^{2-8 x}-8 e^{1-4 x} x+16 x^2} \, dx\) [5527]
   \(\int e^{-x} (180 x+e^x (5+10 x)) \, dx\) [5528]
   \(\int \genfrac {}{}{}{}{-16 e^{3+x^2}+e^{x^2} (-2 e^6+16 e^3 x^2) \log (x^2)+(-4 e^3 x+e^6 (1+x)) \log ^2(x^2)+(16 e^{x^2}+e^{x^2} (4 e^3-16 x^2) \log (x^2)+(e^3 (-2-2 x)+4 x) \log ^2(x^2)) \log (\genfrac {}{}{}{}{4 e^{2 x^2}+e^{x^2} (-4-4 x) \log (x^2)+(1+2 x+x^2) \log ^2(x^2)}{\log ^2(x^2)})+(-2 e^{x^2} \log (x^2)+(1+x) \log ^2(x^2)) \log ^2(\genfrac {}{}{}{}{4 e^{2 x^2}+e^{x^2} (-4-4 x) \log (x^2)+(1+2 x+x^2) \log ^2(x^2)}{\log ^2(x^2)})}{-2 e^{x^2} \log (x^2)+(1+x) \log ^2(x^2)} \, dx\) [5529]
   \(\int \genfrac {}{}{}{}{-5 x+25 x^2+5 e^4 x^2+20 x^3+45 x^4-30 x^5-10 x^6+5 x^7+(35+5 e^4+5 x+5 x^2-5 x^3-10 x^4+5 x^5) \log (7+e^4+x+x^2-x^3-2 x^4+x^5)}{7 x^2+e^4 x^2+x^3+x^4-x^5-2 x^6+x^7} \, dx\) [5530]
   \(\int \genfrac {}{}{}{}{-2-x+x^2+e^x (2 x-x^2)+(2 e^4+2 e^x-2 x-2 \log (x)) \log (e^4+e^x-x-\log (x))}{(-e^4 x^2-e^x x^2+x^3+x^2 \log (x)) \log ^2(e^4+e^x-x-\log (x))} \, dx\) [5531]
   \(\int \genfrac {}{}{}{}{8 e+e^3 (2 x-2 e x)}{e^4} \, dx\) [5532]
   \(\int \genfrac {}{}{}{}{5}{1-2 x+x^2} \, dx\) [5533]
   \(\int -\genfrac {}{}{}{}{128 x}{4096 e^{32}+128 e^{16} x^2+x^4} \, dx\) [5534]
   \(\int \genfrac {}{}{}{}{-74+8 e^{1-x}+8 e^{1-x} x \log (x)+(-148+16 e^{1-x}) \log (x) \log (-\genfrac {}{}{}{}{4 \log (x)}{-37+4 e^{1-x}})+(74-8 e^{1-x}) \log (x) \log (-\genfrac {}{}{}{}{4 \log (x)}{-37+4 e^{1-x}}) \log (\log (-\genfrac {}{}{}{}{4 \log (x)}{-37+4 e^{1-x}}))}{(-185 x^2+20 e^{1-x} x^2) \log (x) \log (-\genfrac {}{}{}{}{4 \log (x)}{-37+4 e^{1-x}})} \, dx\) [5535]
   \(\int \genfrac {}{}{}{}{5-2 e^3 x^2+(-1+2 e^3 x^2) \log (x^2)}{2 e^3 x^2} \, dx\) [5536]
   \(\int \genfrac {}{}{}{}{e^{-\genfrac {}{}{}{}{(2 x+x^2) \log (4)+\log ^2(3) \log ^2(\log (x))}{2+x}} (e^{\genfrac {}{}{}{}{(2 x+x^2) \log (4)+\log ^2(3) \log ^2(\log (x))}{2+x}} (4+4 x+x^2) \log (x)+(-20 x-20 x^2-5 x^3) \log (4) \log (x)+(-20-10 x) \log ^2(3) \log (\log (x))+5 x \log ^2(3) \log (x) \log ^2(\log (x)))}{(4 x+4 x^2+x^3) \log (x)} \, dx\) [5537]
   \(\int \genfrac {}{}{}{}{-40+5 x-16 x^2-4 x^3+x^5+(5 x+3 x^3) \log (\genfrac {}{}{}{}{\log (18)}{x})}{25 x^3+10 x^5+x^7} \, dx\) [5538]
   \(\int \genfrac {}{}{}{}{e^{-\genfrac {}{}{}{}{1250}{x \log (2 x)}} (-2500-2500 \log (2 x))+e^{-\genfrac {}{}{}{}{2500}{x \log (2 x)}} (2500+2500 \log (2 x))}{x^2 \log ^2(2 x)} \, dx\) [5539]
   \(\int \genfrac {}{}{}{}{243+360 x+153 x^2-14 x^3-16 x^4+(-540-900 x-540 x^2-120 x^3) \log (2)+(675+1350 x+900 x^2+200 x^3) \log ^2(2)}{27+54 x+36 x^2+8 x^3} \, dx\) [5540]
   \(\int \genfrac {}{}{}{}{-x+10 x^2-2 x^3+3 x^4+(10+3 x^2) \log (x)}{2 x^4+2 x^2 \log (x)} \, dx\) [5541]
   \(\int \genfrac {}{}{}{}{-20-2 x+(-20 x-2 x^2) \log (x)+((-40 x-2 x^2) \log (\genfrac {}{}{}{}{16}{60 x+3 x^2})+(-40 x-2 x^2) \log (x) \log (\genfrac {}{}{}{}{16}{60 x+3 x^2})) \log (1+x \log (x))}{(20 x+x^2) \log (\genfrac {}{}{}{}{16}{60 x+3 x^2})+(20 x^2+x^3) \log (x) \log (\genfrac {}{}{}{}{16}{60 x+3 x^2})} \, dx\) [5542]
   \(\int \genfrac {}{}{}{}{-8+24 x-24 x^2+8 x^3+(-8+8 x) \log (5 e^x)-8 \log ^2(5 e^x)}{-1+3 x-3 x^2+x^3} \, dx\) [5543]
   \(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{1}{2} (2 x+3 \log (x-\log (x)))} (11 x-x^2-2 x^3+(4-19 x-9 x^2-2 x^3) \log (x)+(8+8 x+2 x^2) \log ^2(x))}{-2 x^3+(-14 x^2-4 x^3) \log (x)+(-16 x-12 x^2-2 x^3) \log ^2(x)+(32+16 x+2 x^2) \log ^3(x)} \, dx\) [5544]
   \(\int \genfrac {}{}{}{}{3 e^5+e^x (-16 x+8 x^2)}{(-e^5 x+8 e^x x^2+32 x^4) \log (\genfrac {}{}{}{}{-e^5+8 e^x x+32 x^3}{8 x^3})} \, dx\) [5545]
   \(\int \genfrac {}{}{}{}{(20 x-4 x^2) \log (-5+x) \log (x)+((-80+16 x) \log (-5+x)-16 x \log (x)) \log (\log (-5+x))+((80-16 x) \log (-5+x)+16 x \log (x)) \log (\log (x))}{(-5 x+x^2) \log (-5+x) \log (x)} \, dx\) [5546]
   \(\int \genfrac {}{}{}{}{e^{-x} (-1+x+x^2+x^2 \log (2)+e^x (x-2 x^2+x^3) \log (5 e^2)+x^2 \log (\genfrac {}{}{}{}{2}{x}))}{(x-2 x^2+x^3) \log (5 e^2)} \, dx\) [5547]
   \(\int \genfrac {}{}{}{}{-4 x+8 x^2+e^4 (x+2 x^2)+e^2 (4 x+8 x^2)+(-4+4 x+4 e^2 x+e^4 x) \log (-4+4 x+4 e^2 x+e^4 x)}{-4 x^2+4 x^3+4 e^2 x^3+e^4 x^3+(8-8 x-8 e^2 x-2 e^4 x) \log (5)+(-4 x+4 x^2+4 e^2 x^2+e^4 x^2) \log (-4+4 x+4 e^2 x+e^4 x)} \, dx\) [5548]
   \(\int \genfrac {}{}{}{}{-10+3 x-2 \log (3)-x \log (x^2)}{-25 x-5 x^2-5 x \log (3)+(5 x+x^2+x \log (3)) \log (x^2)} \, dx\) [5549]
   \(\int \genfrac {}{}{}{}{e^3+e^{3 e^x}+3 e^{2+e^x}+3 e^{1+2 e^x}+e^{\genfrac {}{}{}{}{75-30 e+3 e^2+3 e^{2 e^x}+(-30+6 e) \log (5)+3 \log ^2(5)+e^{e^x} (-30+6 e+6 \log (5))}{e^2+e^{2 e^x}+2 e^{1+e^x}}} (e^{2 e^x+x} (30-6 \log (5))+e^{e^x+x} (-150+30 e+(60-6 e) \log (5)-6 \log ^2(5)))}{e^3+e^{3 e^x}+3 e^{2+e^x}+3 e^{1+2 e^x}} \, dx\) [5550]
   \(\int \genfrac {}{}{}{}{-5670-3240 x-2430 \log (x)}{8 x^7+12 x^8+6 x^9+x^{10}+(12 x^7+12 x^8+3 x^9) \log (x)+(6 x^7+3 x^8) \log ^2(x)+x^7 \log ^3(x)} \, dx\) [5551]
   \(\int \genfrac {}{}{}{}{-25-19 x+(-50 x+12 x^2) \log (\genfrac {}{}{}{}{15 x}{-25+6 x})}{-25+6 x} \, dx\) [5552]
   \(\int \genfrac {}{}{}{}{-280+7600 x+6523 x^2+1272 x^3+72 x^4}{-280 x+3765 x^2+2491 x^3+444 x^4+24 x^5} \, dx\) [5553]
   \(\int \genfrac {}{}{}{}{-4-e^4+e^2 (4-4 x)+8 x}{16 x+4 e^4 x+32 x^2+16 x^3+e^2 (-16 x-16 x^2)+(-16 x-4 e^4 x-16 x^2+e^2 (16 x+8 x^2)) \log (x)+(4 x-4 e^2 x+e^4 x) \log ^2(x)} \, dx\) [5554]
   \(\int \genfrac {}{}{}{}{-9+28 x+11 x^2+(-9+6 x+3 x^2) \log (2 x)}{27 x+16 x^2+3 x^3+(9 x+6 x^2+x^3) \log (2 x)} \, dx\) [5555]
   \(\int \genfrac {}{}{}{}{3}{5-12 e^3+3 x+\log (5)} \, dx\) [5556]
   \(\int \genfrac {}{}{}{}{1}{5} (12-i \pi -\log (-\log (\log (2)))) \, dx\) [5557]
   \(\int (8 x-12 x^2+24 x^3-12 x^4+8 x^5+e^{e^3} (4-4 x+8 x^2)+(6 e^{e^3} x^2+16 x^3-10 x^4+14 x^5) \log (x)+6 x^5 \log ^2(x)) \, dx\) [5558]
   \(\int \genfrac {}{}{}{}{2 e^7+e^x (-2 e^7-2 x)+2 x+(2 e^x-2 x) \log (e^x-x)}{(e^x-x) \log ^2(e^x-x)} \, dx\) [5559]
   \(\int \genfrac {}{}{}{}{-45-3 x^2+e^{10} (-15-x^2)+e^x (-15-15 x+x^2+x^3)+e^{e^5} (-9-3 e^{10}+e^x (-3-3 x+x^2))+(-45+6 x+3 x^2+e^{e^5} (-9+e^{10} (-3+x)+e^x (-3+x)+3 x)+e^{10} (-15+2 x+x^2)+e^x (-15+2 x+x^2)) \log (\genfrac {}{}{}{}{3+e^{10}+e^x}{-15+e^{e^5} (-3+x)+2 x+x^2})}{-45+6 x+3 x^2+e^{e^5} (-9+e^{10} (-3+x)+e^x (-3+x)+3 x)+e^{10} (-15+2 x+x^2)+e^x (-15+2 x+x^2)} \, dx\) [5560]
   \(\int \genfrac {}{}{}{}{50-9 x+(-3 x+2 x^2) \log (\genfrac {}{}{}{}{5}{x})+(-7 x-2 x^2) \log ^2(\genfrac {}{}{}{}{5}{x})+(-x+2 x^2) \log ^3(\genfrac {}{}{}{}{5}{x})}{-27 x+x^2+(31 x+7 x^2) \log (\genfrac {}{}{}{}{5}{x})+(-6 x-7 x^2-x^3) \log ^2(\genfrac {}{}{}{}{5}{x})+(2 x-x^2+x^3) \log ^3(\genfrac {}{}{}{}{5}{x})} \, dx\) [5561]
   \(\int \genfrac {}{}{}{}{-\genfrac {}{}{}{}{e^2}{x}+8100 x^4}{(e^2+2025 x^5) \log (\genfrac {}{}{}{}{12 e^2}{x}+24300 x^4)} \, dx\) [5562]
   \(\int (-5+e^6+e^{-5-x+e^2 x} (-5+5 x-5 e^2 x)-5 \log (x)) \, dx\) [5563]
   \(\int (6+2 x+e^{e^x} (4+4 e^x x)) \, dx\) [5564]
   \(\int \genfrac {}{}{}{}{e^{e^{\genfrac {}{}{}{}{1}{2} e^{\genfrac {}{}{}{}{e^{e^{e^{-x} x}}+3 x-x \log (2)}{x}}}+e^{e^{-x} x}+\genfrac {}{}{}{}{1}{2} e^{\genfrac {}{}{}{}{e^{e^{e^{-x} x}}+3 x-x \log (2)}{x}}+\genfrac {}{}{}{}{e^{e^{e^{-x} x}}+3 x-x \log (2)}{x}} (-1+e^{-x+e^{-x} x} (1-x) x)}{8 x^2} \, dx\) [5565]
   \(\int \genfrac {}{}{}{}{-e^3+8 e^5 x+64 x^3+64 e x^3+e^2 (2 x+16 x^3)-e^2 \log (4)}{e^2} \, dx\) [5566]
   \(\int \genfrac {}{}{}{}{1}{5} (-240-30 x+288 x^2-48 x^4+e^x (15+15 x)) \, dx\) [5567]
   \(\int \genfrac {}{}{}{}{663552 x-2097152 x^5}{6561+41472 x^2+107008 x^4+65536 e^{10} x^4+131072 x^6+65536 x^8+e^5 (41472 x^2+131072 x^4+131072 x^6)} \, dx\) [5568]
   \(\int \genfrac {}{}{}{}{e^{-1-e^5-e^8+2 x} (1-x)-x+x^2+(x-2 e^{-1-e^5-e^8+2 x} x) \log (\genfrac {}{}{}{}{3 e^x}{x})}{x} \, dx\) [5569]
   \(\int \genfrac {}{}{}{}{-2 x+2 (i \pi +\log (\genfrac {}{}{}{}{21}{5}))-e^{\genfrac {}{}{}{}{2+x}{2}} x (i \pi +\log (\genfrac {}{}{}{}{21}{5}))}{2 x (i \pi +\log (\genfrac {}{}{}{}{21}{5}))} \, dx\) [5570]
   \(\int \genfrac {}{}{}{}{5-10 x^2+(10 x^2+10 x^3) \log (3)}{x^2} \, dx\) [5571]
   \(\int \genfrac {}{}{}{}{-9 x^2+6 x^3-16 x^4+8 x^5-8 x^6+2 x^7-x^8+e^x (3 x^2-5 x^3+x^4+4 x^5-4 x^6+x^7)+(-9 x^2+6 x^3+2 x^4-4 x^5+6 x^6-2 x^7+x^8+e^x (6 x-10 x^2+2 x^3+8 x^4-8 x^5+2 x^6)) \log (\genfrac {}{}{}{}{-1+x^2}{x})+e^x (3-5 x+x^2+4 x^3-4 x^4+x^5) \log ^2(\genfrac {}{}{}{}{-1+x^2}{x})}{-36 x^4+24 x^5+8 x^6-16 x^7+24 x^8-8 x^9+4 x^{10}+(-72 x^3+48 x^4+16 x^5-32 x^6+48 x^7-16 x^8+8 x^9) \log (\genfrac {}{}{}{}{-1+x^2}{x})+(-36 x^2+24 x^3+8 x^4-16 x^5+24 x^6-8 x^7+4 x^8) \log ^2(\genfrac {}{}{}{}{-1+x^2}{x})} \, dx\) [5572]
   \(\int -\genfrac {}{}{}{}{24}{-20+5 x} \, dx\) [5573]
   \(\int \genfrac {}{}{}{}{-32 e^9+32 e^{9+x} x+160 e^9 x \log (x)+80 e^{9+x} x^2 \log ^2(x)}{2 x+5 x^2 \log ^2(x)} \, dx\) [5574]
   \(\int e^{2 e x+4 x^2} (1+2 e x+8 x^2) \, dx\) [5575]
   \(\int \genfrac {}{}{}{}{33-48 x+18 x^2-2 x^3+e^5 (1-16 x+20 x^2-4 x^3)+e^{10} (2 x^2-2 x^3)+e^{x+x^2} (-5-7 x+2 x^2+e^5 (-1+x+2 x^2))}{16-8 x+x^2+e^{10} x^2+e^5 (-8 x+2 x^2)} \, dx\) [5576]
   \(\int \genfrac {}{}{}{}{e^{x^2} (x+2 x^3) \log (x)+e^{x^2} (-6-12 x^2+(1+2 x^2) \log (5)) \log ^2(x)+e^{\log ^2(\genfrac {}{}{}{}{x+(-6+\log (5)) \log (x)}{\log (x)})} (-10+10 \log (x)) \log (\genfrac {}{}{}{}{x+(-6+\log (5)) \log (x)}{\log (x)})}{5 x \log (x)+(-30+5 \log (5)) \log ^2(x)} \, dx\) [5577]
   \(\int \genfrac {}{}{}{}{-1+4 e^6 x+4 e^{6+x} x}{e^5 x} \, dx\) [5578]
   \(\int \genfrac {}{}{}{}{e^{2+x} (-3 x^2+x^3) \log (3)+(e^4 (-12+4 x)+e^2 (-4 x^2+x^3)) \log (3)}{e^2 (-3 x^2+x^3)} \, dx\) [5579]
   \(\int \genfrac {}{}{}{}{-24-8 x+(-48-24 x) \log (x)+(27 x^3+18 x^4+3 x^5) \log ^2(x)}{(18 x^3+12 x^4+2 x^5) \log ^2(x)} \, dx\) [5580]
   \(\int \genfrac {}{}{}{}{x^2+(-18 x-2 x^2) \log (9+x)+(18 x+2 x^2+(9+x) \log (3)) \log ^2(9+x)+e^{2 e^x+2 x} (18 x+2 x^2+(9+x) \log (3)) \log ^2(9+x)+e^{e^x+x} (-x^2+(18 x-7 x^2-x^3+e^x (-9 x^2-x^3)) \log (9+x)+(-36 x-4 x^2+(-18-2 x) \log (3)) \log ^2(9+x))}{e^{e^x+x} (-18-2 x) \log ^2(9+x)+(9+x) \log ^2(9+x)+e^{2 e^x+2 x} (9+x) \log ^2(9+x)} \, dx\) [5581]
   \(\int \genfrac {}{}{}{}{7 x-2 x^2-3 x^3+e^{20} (5 x-x^2-2 x^3)+(-1+e^{20} (-1+x)+x) \log (1-x)+(3 x-3 x^3+e^{20} (2 x-2 x^3)+(-1+x^2+e^{20} (-1+x^2)) \log (1-x)) \log (\genfrac {}{}{}{}{-3 x^2-2 e^{20} x^2+(x+e^{20} x) \log (1-x)}{1+x+e^{20} (1+x)})}{3 x-3 x^3+e^{20} (2 x-2 x^3)+(-1+x^2+e^{20} (-1+x^2)) \log (1-x)} \, dx\) [5582]
   \(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{2+30 x^2+15 x^3+x^5}{15 x^2}} (-4-30 x^2+15 x^3+3 x^5)}{15 x^5} \, dx\) [5583]
   \(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{4 x+4 x^2+x^3+(4+4 x+x^2) \log (x)}{x^2}} (4 x^2-2 x^3+3 x^4+x^5+(-8 x-6 x^2-8 x^3-2 x^4) \log (x)+(4+16 x+9 x^2+x^3) \log ^2(x)+(-8-4 x) \log ^3(x))}{3 x^3} \, dx\) [5584]
   \(\int \genfrac {}{}{}{}{(58-9 x) \log ^2(x)+e^{\genfrac {}{}{}{}{1}{\log (x)}} (-20+40 \log ^2(x))}{100 e^{\genfrac {}{}{}{}{1}{\log (x)}} x \log ^2(x)+(145 x-15 x^2) \log ^2(x)} \, dx\) [5585]
   \(\int \genfrac {}{}{}{}{8000-20 x-2 x^3+(800 x^2-2 x^3) \log (-2000+5 x)}{-40000+100 x+(8000 x^2-20 x^3) \log (-2000+5 x)+(-400 x^4+x^5) \log ^2(-2000+5 x)} \, dx\) [5586]
   \(\int \genfrac {}{}{}{}{16 x-2 x^4+(8 x+2 x^4) \log (\genfrac {}{}{}{}{4+x^3}{x^2}) \log (\genfrac {}{}{}{}{3}{11} \log (\genfrac {}{}{}{}{4+x^3}{x^2}))+(-4-x^3) \log (\genfrac {}{}{}{}{4+x^3}{x^2}) \log ^3(\genfrac {}{}{}{}{3}{11} \log (\genfrac {}{}{}{}{4+x^3}{x^2}))}{(4+x^3) \log (\genfrac {}{}{}{}{4+x^3}{x^2}) \log ^3(\genfrac {}{}{}{}{3}{11} \log (\genfrac {}{}{}{}{4+x^3}{x^2}))} \, dx\) [5587]
   \(\int \genfrac {}{}{}{}{e^x (1-x)+5 x^2}{5 x^2} \, dx\) [5588]
   \(\int \genfrac {}{}{}{}{2 x+e^{e^{48+2 e^x+6 x} x} (2 x+e^{48+2 e^x+6 x} (-2 x^2-12 x^3-4 e^x x^3))}{1+3 e^{e^{48+2 e^x+6 x} x}+3 e^{2 e^{48+2 e^x+6 x} x}+e^{3 e^{48+2 e^x+6 x} x}} \, dx\) [5589]
   \(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{-80-129 x+9 x^2-81 x^3}{16+26 x-3 x^2+18 x^3}} (16-192 x+279 x^2+432 x^3+81 x^4)}{256+832 x+580 x^2+420 x^3+945 x^4-108 x^5+324 x^6} \, dx\) [5590]
   \(\int \genfrac {}{}{}{}{-10 x+5 \log (\log (2))+((-20 x-4 x^2) \log (\genfrac {}{}{}{}{5+x}{x})+(5+x) \log (\genfrac {}{}{}{}{5+x}{x}) \log (\log (2))) \log (\log (\genfrac {}{}{}{}{5+x}{x}))+(150+30 x) \log (\genfrac {}{}{}{}{5+x}{x}) \log ^2(\log (\genfrac {}{}{}{}{5+x}{x}))}{(25+5 x) \log (\genfrac {}{}{}{}{5+x}{x}) \log ^2(\log (\genfrac {}{}{}{}{5+x}{x}))} \, dx\) [5591]
   \(\int \genfrac {}{}{}{}{44+16 x^2+2 x^4+(32 x+8 x^3) \log (3)+(16+12 x^2) \log ^2(3)+8 x \log ^3(3)+2 \log ^4(3)+(-16 x+16 x^2-4 x^3+4 x^4+(-16+16 x-12 x^2+12 x^3) \log (3)+(-12 x+12 x^2) \log ^2(3)+(-4+4 x) \log ^3(3)) \log (1-2 x+x^2)}{-1+x} \, dx\) [5592]
   \(\int \genfrac {}{}{}{}{2 e^x+e^{1+e^{-x} x} (x-x^2) \log (x) \log (125 e^2 \log ^2(x))}{e^{1+x+e^{-x} x} x \log (x) \log (125 e^2 \log ^2(x))+e^x x \log (x) \log (125 e^2 \log ^2(x)) \log (\log (125 e^2 \log ^2(x)))} \, dx\) [5593]
   \(\int -\genfrac {}{}{}{}{5}{18-12 x+2 x^2+e^{16 e^{-8 e^9}} (9-6 x+x^2)} \, dx\) [5594]
   \(\int \genfrac {}{}{}{}{24 x+2 \log (4)+e^{e^x} (6+e^x (6 x+\log (4)))}{12 x^2+2 x \log (4)+e^{e^x} (6 x+\log (4))} \, dx\) [5595]
   \(\int \genfrac {}{}{}{}{-729 x+162 x^3+729 x \log (x)}{729 x^3-972 x^4+432 x^5-64 x^6+(4374 x^2-3888 x^3+864 x^4) \log (x)+(8748 x-3888 x^2) \log ^2(x)+5832 \log ^3(x)} \, dx\) [5596]
   \(\int \genfrac {}{}{}{}{e^{-5+e^x+\genfrac {}{}{}{}{e^{-5+e^x} (4+x^3)}{3 x+3 x^2}} (-4-8 x+2 x^3+x^4+e^x (4 x+4 x^2+x^4+x^5))}{3 x^2+6 x^3+3 x^4} \, dx\) [5597]
   \(\int \genfrac {}{}{}{}{17+12 x+x^2}{36+12 x+x^2} \, dx\) [5598]
   \(\int \genfrac {}{}{}{}{x^3+3 e^2 \log (5)+(6 e^2 x^2-2 x^3-x \log (5)) \log (x)+(9 e^4 x-6 e^2 x^2+x^3) \log ^2(x)}{x^3+(6 e^2 x^2-2 x^3) \log (x)+(9 e^4 x-6 e^2 x^2+x^3) \log ^2(x)} \, dx\) [5599]
   \(\int \genfrac {}{}{}{}{e^{20 x+x \log (\genfrac {}{}{}{}{1-x \log (\genfrac {}{}{}{}{e^{-x} \log (2)}{x})}{x})} (-19-x-x^2+20 x \log (\genfrac {}{}{}{}{e^{-x} \log (2)}{x})+(-1+x \log (\genfrac {}{}{}{}{e^{-x} \log (2)}{x})) \log (\genfrac {}{}{}{}{1-x \log (\genfrac {}{}{}{}{e^{-x} \log (2)}{x})}{x}))}{-1+x \log (\genfrac {}{}{}{}{e^{-x} \log (2)}{x})} \, dx\) [5600]