3.65 Integrals 6401 to 6500

   \(\int \genfrac {}{}{}{}{e^x (-8 x+4 x^2+28 x^6-4 x^7-12 x^{11}+x^{12}+\log (4))}{16 x^4-32 x^9+24 x^{14}-8 x^{19}+x^{24}+(8 x^2-8 x^7+2 x^{12}) \log (4)+\log ^2(4)} \, dx\) [6401]
   \(\int \genfrac {}{}{}{}{e^2 (-2 x^2-x^3)+(-2 x^2-x^3) \log (5)+(e^2 (2 x+x^2)+(2 x+x^2) \log (5)) \log (\genfrac {}{}{}{}{x}{2+x})+(16-16 x-8 x^2) \log ^7(x-\log (\genfrac {}{}{}{}{x}{2+x}))}{-2 x^2-x^3+(2 x+x^2) \log (\genfrac {}{}{}{}{x}{2+x})} \, dx\) [6402]
   \(\int \genfrac {}{}{}{}{-96-160 x-32 x^2+32 x^3+(-96+256 x+192 x^2-128 x^3+32 x^4) \log (x)+(288 x-288 x^2-32 x^3+32 x^4) \log ^2(x)}{1+3 x+3 x^2+x^3} \, dx\) [6403]
   \(\int \genfrac {}{}{}{}{5 x+16 e^{\genfrac {}{}{}{}{2}{5} (10+8 \log (4) \log (x))} \log (4)}{10 x+5 e^{\genfrac {}{}{}{}{2}{5} (10+8 \log (4) \log (x))} x+5 x^2} \, dx\) [6404]
   \(\int \genfrac {}{}{}{}{1}{3} (-3+2 x+150 x \log (x)+150 x \log ^2(x)) \, dx\) [6405]
   \(\int \genfrac {}{}{}{}{\log (x) \log ^2(\log (x))+e^{\genfrac {}{}{}{}{3 x}{\log (\log (x))}} (-3+3 \log (x) \log (\log (x)))}{\log (x) \log ^2(\log (x))} \, dx\) [6406]
   \(\int \genfrac {}{}{}{}{-3+x+3 x^2-x^3-x^4+x^6+(-4+2 x-3 x^2-4 x^4+3 x^6) \log (x)+(-3 x^2+x^4) \log ^2(x)}{1-2 x^2+x^4} \, dx\) [6407]
   \(\int \genfrac {}{}{}{}{e^{-6 x} (-6 x+e^{3 x} (-4-36 x-18 x^2)+e^{6 x} (-28+30 x+18 x^2)+(e^{6 x} (4-6 x)+6 e^{3 x} x) \log (\genfrac {}{}{}{}{x^2}{4}))}{x} \, dx\) [6408]
   \(\int \genfrac {}{}{}{}{3+2 e^{2 x} x^2}{-3 x+5 x^2+e^{2 x} x^2} \, dx\) [6409]
   \(\int \genfrac {}{}{}{}{6 e^{2 x} x^2+e^x (2+8 x-8 x^2+16 x^3)+(-2 e^{2 x} x^2+e^x (-2 x+x^2-4 x^3)) \log (\genfrac {}{}{}{}{2-x+2 e^x x+4 x^2}{2 x})}{2 x-x^2+2 e^x x^2+4 x^3} \, dx\) [6410]
   \(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{2 x+e x+3 e^5 x-6 x^3+3 \log (x)}{15 x}} (1-4 x^3-\log (x))}{5 x^2} \, dx\) [6411]
   \(\int \genfrac {}{}{}{}{-9-27 x+23 x^2+13 x^3+2 x^4}{9 x+6 x^2+x^3} \, dx\) [6412]
   \(\int \genfrac {}{}{}{}{-15-24 x^6}{32 x^6} \, dx\) [6413]
   \(\int \genfrac {}{}{}{}{e^3 (3-12 x-6 x^2)+e^x (-8 x^4+144 x^5)+(e^3 (3+3 x)+e^x (8 x^3-144 x^4)) \log (x)+e^x (-2 x^2+36 x^3) \log ^2(x)}{8 e^x x^4-8 e^x x^3 \log (x)+2 e^x x^2 \log ^2(x)} \, dx\) [6414]
   \(\int \genfrac {}{}{}{}{e^{(-4+x-\log (12+x))^{\genfrac {}{}{}{}{1}{x^2}}} (-4+x-\log (12+x))^{\genfrac {}{}{}{}{1}{x^2}} (-11 x-x^2+(-96+16 x+2 x^2+(-24-2 x) \log (12+x)) \log (-4+x-\log (12+x)))}{48 x^3-8 x^4-x^5+(12 x^3+x^4) \log (12+x)} \, dx\) [6415]
   \(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{1}{-9-e^{6 x}+e^{3 x} (6-2 x)+6 x-x^2+\log (x)}} (-3-18 x+18 e^{6 x} x+6 x^2+e^{3 x} (-48 x+18 x^2))}{324 x+4 e^{12 x} x-432 x^2+216 x^3-48 x^4+4 x^5+e^{9 x} (-48 x+16 x^2)+e^{6 x} (216 x-144 x^2+24 x^3)+e^{3 x} (-432 x+432 x^2-144 x^3+16 x^4)+(-72 x-8 e^{6 x} x+48 x^2-8 x^3+e^{3 x} (48 x-16 x^2)) \log (x)+4 x \log ^2(x)} \, dx\) [6416]
   \(\int \genfrac {}{}{}{}{-3 x^2+(-2+2 x+x^2) \log (2)}{18 x^2+36 x^3+18 x^4+(-36 x-72 x^2-36 x^3) \log (2)+(18+36 x+18 x^2) \log ^2(2)} \, dx\) [6417]
   \(\int \genfrac {}{}{}{}{e^{2+x+e x^2-x^3} (-1+e^{-2-x-e x^2+x^3}+x+2 e x^2-3 x^3)}{x^2} \, dx\) [6418]
   \(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{1}{4} (4 e^{\genfrac {}{}{}{}{-3+14 e^x+14 x}{-1+5 e^x+5 x}}+e^2 (-4-4 x-x^2))} (e^{\genfrac {}{}{}{}{-3+14 e^x+14 x}{-1+5 e^x+5 x}} (2+2 e^x)+e^{2+2 x} (-50-25 x)+e^{2+x} (20-90 x-50 x^2)+e^2 (-2+19 x-40 x^2-25 x^3))}{2+50 e^{2 x}-20 x+50 x^2+e^x (-20+100 x)} \, dx\) [6419]
   \(\int (-14-10 e^{20}-52 x-72 x^2-44 x^3-10 x^4+e^{15} (44+40 x)+e^{10} (-72-132 x-60 x^2)+e^5 (52+144 x+132 x^2+40 x^3)+(-10-80 x-130 x^2+40 x^3+250 x^4+200 x^5+50 x^6+e^{20} (-10+50 x^2)+e^{15} (40+80 x-200 x^2-200 x^3)+e^{10} (-60-240 x+120 x^2+600 x^3+300 x^4)+e^5 (40+240 x+160 x^2-440 x^3-600 x^4-200 x^5)) \log (x)+(75 x^2+75 e^{20} x^2+400 x^3+750 x^4+600 x^5+175 x^6+e^{15} (-300 x^2-400 x^3)+e^{10} (450 x^2+1200 x^3+750 x^4)+e^5 (-300 x^2-1200 x^3-1500 x^4-600 x^5)) \log ^2(x)) \, dx\) [6420]
   \(\int \genfrac {}{}{}{}{25 x}{4 e^6} \, dx\) [6421]
   \(\int \genfrac {}{}{}{}{24 x+625 (48+6 x)}{4 x^2+x^3+625 (4 x+x^2)} \, dx\) [6422]
   \(\int \genfrac {}{}{}{}{-4+5 x+(1-x) \log (4)+(-4 x+x^2+x \log (4)) \log (e^5 (-4 x+x^2)+e^5 x \log (4))}{-4 x+x^2+x \log (4)} \, dx\) [6423]
   \(\int \genfrac {}{}{}{}{6+e^x (-1+x)}{x^2} \, dx\) [6424]
   \(\int \genfrac {}{}{}{}{(-150-50 x) \log (3)}{9000+5400 x+900 x^2+(600+360 x+60 x^2) \log ^2(3)+(10+6 x+x^2) \log ^4(3)+((-600-360 x-60 x^2) \log (3)+(-20-12 x-2 x^2) \log ^3(3)) \log (10+6 x+x^2)+(10+6 x+x^2) \log ^2(3) \log ^2(10+6 x+x^2)} \, dx\) [6425]
   \(\int \genfrac {}{}{}{}{e^{-\genfrac {}{}{}{}{3 e^4}{x}} (3 e^7+e^{\genfrac {}{}{}{}{3 e^4}{x}} (2 x+e^{-3+x} (2 x^2+2 x^3)))}{2 x^2} \, dx\) [6426]
   \(\int \genfrac {}{}{}{}{-1+(1-2 x) \log (x) \log (\log (x))}{x \log (x) \log (\log (x))} \, dx\) [6427]
   \(\int \genfrac {}{}{}{}{(-4 x^2+x \log ^2(2)) \log (x)+e^{5+\log ^2(\genfrac {}{}{}{}{3}{\log (x)})} (16 x \log (x)+(-32 x+8 \log ^2(2)) \log (\genfrac {}{}{}{}{1}{4} (4 x-\log ^2(2))) \log (\genfrac {}{}{}{}{3}{\log (x)}))}{(-4 x^2+x \log ^2(2)) \log (x)} \, dx\) [6428]
   \(\int \genfrac {}{}{}{}{e^{-2 x} ((-5+6 x-8 x^2) \log ^3(x)+e^{\genfrac {}{}{}{}{9}{\log ^2(x)}} (18 x+(-2 x+2 x^2) \log ^3(x)))}{4 \log ^3(x)} \, dx\) [6429]
   \(\int \genfrac {}{}{}{}{x+x^2+10 x^3+e^{2 e^5} (-5-x^2)}{x^2} \, dx\) [6430]
   \(\int \genfrac {}{}{}{}{-640 x^2+210 x^4-10 x^6+(160 x^2-20 x^4) \log (2)-10 x^2 \log ^2(2)+(-5120 x-1280 x^2+80 x^5+20 x^6+(1280 x+320 x^2) \log (2)+(-80 x-20 x^2) \log ^2(2)) \log (4+x)}{16384+4096 x-10752 x^2-2688 x^3+2276 x^4+569 x^5-168 x^6-42 x^7+4 x^8+x^9+(-8192-2048 x+3712 x^2+928 x^3-464 x^4-116 x^5+16 x^6+4 x^7) \log (2)+(1536+384 x-424 x^2-106 x^3+24 x^4+6 x^5) \log ^2(2)+(-128-32 x+16 x^2+4 x^3) \log ^3(2)+(4+x) \log ^4(2)} \, dx\) [6431]
   \(\int \genfrac {}{}{}{}{(-5400+2160 x^3-216 x^6+e^{e^{\genfrac {}{}{}{}{x}{-20+4 x^3}}} (200-80 x^3+8 x^6)) \log (\genfrac {}{}{}{}{1}{5} (27-e^{e^{\genfrac {}{}{}{}{x}{-20+4 x^3}}}))+e^{e^{\genfrac {}{}{}{}{x}{-20+4 x^3}}+\genfrac {}{}{}{}{x}{-20+4 x^3}} (5 x+2 x^4) \log (x^2)}{(-2700 x+1080 x^4-108 x^7+e^{e^{\genfrac {}{}{}{}{x}{-20+4 x^3}}} (100 x-40 x^4+4 x^7)) \log ^2(\genfrac {}{}{}{}{1}{5} (27-e^{e^{\genfrac {}{}{}{}{x}{-20+4 x^3}}}))} \, dx\) [6432]
   \(\int -\genfrac {}{}{}{}{1}{e^6 (-1152+2880 x-2880 x^2+1440 x^3-360 x^4+36 x^5)} \, dx\) [6433]
   \(\int (2+50 x+e^{4+2 x^2} (1+4 x^2)) \, dx\) [6434]
   \(\int \genfrac {}{}{}{}{37375-24500 x+4802 x^2+(74875-49500 x+9800 x^2) \log (4)+(37500-25000 x+5000 x^2) \log ^2(4)}{15625-12250 x+2401 x^2+(31250-24750 x+4900 x^2) \log (4)+(15625-12500 x+2500 x^2) \log ^2(4)} \, dx\) [6435]
   \(\int \genfrac {}{}{}{}{-72+2 e^{e^x+x} x^7-25 x^8}{2 x^7} \, dx\) [6436]
   \(\int \genfrac {}{}{}{}{e^{-x^2} (8 e^{x^2}+3 x-3 x^3)}{2 \log (e^{-1+\genfrac {}{}{}{}{1}{4} e^{-x^2} (16 e^{x^2} x+3 x^2)})} \, dx\) [6437]
   \(\int \genfrac {}{}{}{}{-4-e^5+e^7 (20+40 x)}{4+e^5} \, dx\) [6438]
   \(\int \genfrac {}{}{}{}{21 x+4 x^2+e^{1+e^4+2 x} (10+22 x+4 x^2)+(5+x) \log (5+x)}{5+x} \, dx\) [6439]
   \(\int \genfrac {}{}{}{}{-32+e^{2 x} (-2+4 x)+e^x (20-20 x-2 x^2)}{x^2} \, dx\) [6440]
   \(\int \genfrac {}{}{}{}{-7+10 e^x+5 e^{2 x}+15 x-6 x^2+(-4+4 x) \log (2 x)}{-5 e^{2 x}+3 x-10 e^x x-6 x^2+4 x \log (2 x)} \, dx\) [6441]
   \(\int \genfrac {}{}{}{}{12 x^4+24 x^5-4 e x^5+4 \log (2)}{3 x^2} \, dx\) [6442]
   \(\int \genfrac {}{}{}{}{-4 x+(-2+x) \log (\genfrac {}{}{}{}{5}{e^2})+x \log (\genfrac {}{}{}{}{5}{e^2}) \log (x)}{(-4 x^2+(-2 x+x^2) \log (\genfrac {}{}{}{}{5}{e^2}) \log (x)) \log (\genfrac {}{}{}{}{1}{4} (4 x+(2-x) \log (\genfrac {}{}{}{}{5}{e^2}) \log (x)))} \, dx\) [6443]
   \(\int \genfrac {}{}{}{}{(\genfrac {}{}{}{}{139}{12})^{\genfrac {}{}{}{}{1}{\log (5)}} (1-\log (x)) (-\genfrac {}{}{}{}{\log (x)}{x})^{\genfrac {}{}{}{}{1}{\log (5)}}}{x \log (5) \log (x)} \, dx\) [6444]
   \(\int \genfrac {}{}{}{}{-e^4+e^x (-1+x)-4 x^2+3072 x^4}{4 x^2} \, dx\) [6445]
   \(\int \genfrac {}{}{}{}{192+3 e^{2 x}-112 x+12 x^2+4 x \log (5)+e^x (-48-6 x+2 x^2+2 x \log (5))}{64 x+e^{2 x} x-32 x^2+4 x^3+e^x (-16 x+4 x^2)} \, dx\) [6446]
   \(\int \genfrac {}{}{}{}{-10368 e^{\genfrac {}{}{}{}{108}{e^2 x^2}}-1152 e^{\genfrac {}{}{}{}{144}{e^2 x^2}}+e^2 (-108 x^3+162 x^4-36 x^5+16 x^6)+e^{\genfrac {}{}{}{}{72}{e^2 x^2}} (-31104+1728 x-1152 x^2+e^2 (-12 x^3+16 x^4))+e^{\genfrac {}{}{}{}{36}{e^2 x^2}} (-31104+5184 x-3456 x^2+e^2 (-72 x^3+96 x^4))}{e^2 x^3} \, dx\) [6447]
   \(\int \genfrac {}{}{}{}{3 x^4+(2-6 x^3) \log (4)+3 x^2 \log ^2(4)}{-2 x^2+x^5+(2 x-2 x^4) \log (4)+x^3 \log ^2(4)} \, dx\) [6448]
   \(\int \genfrac {}{}{}{}{1}{9} (-8 x-6 x^2) \log ^2(\log (5)) \, dx\) [6449]
   \(\int (3+e^{4 x+4 x^2+x^3} (12+24 x+9 x^2)) \, dx\) [6450]
   \(\int \genfrac {}{}{}{}{e^x (5+x)+(6+x+e^x (6+x)) \log (3+3 e^x)}{(5+x+e^x (5+x)) \log (3+3 e^x) \log (e^x (5+x) \log (3+3 e^x))} \, dx\) [6451]
   \(\int \genfrac {}{}{}{}{e^x (1792-832 x+80 x^2+4 x^3+e^4 (-8 x-3 x^2+x^3))}{64-32 x+4 x^2} \, dx\) [6452]
   \(\int \genfrac {}{}{}{}{-102-426 x-585 x^2-301 x^3-65 x^4-5 x^5+(10+12 x+7 x^2+x^3) \log (5+x)}{100+420 x+580 x^2+300 x^3+65 x^4+5 x^5} \, dx\) [6453]
   \(\int \genfrac {}{}{}{}{-300-750 x-900 \log (\genfrac {}{}{}{}{x^2}{3})}{x^3} \, dx\) [6454]
   \(\int \genfrac {}{}{}{}{375000-6937500 x+52250000 x^2-201000000 x^3+396000000 x^4-320000000 x^5}{-x^5-x^6+(-25 x^4+75 x^5+100 x^6) \log (1+x)+(-250 x^3+1750 x^4-2000 x^5-4000 x^6) \log ^2(1+x)+(-1250 x^2+13750 x^3-45000 x^4+20000 x^5+80000 x^6) \log ^3(1+x)+(-3125 x+46875 x^2-250000 x^3+500000 x^4-800000 x^6) \log ^4(1+x)+(-3125+59375 x-437500 x^2+1500000 x^3-2000000 x^4-800000 x^5+3200000 x^6) \log ^5(1+x)} \, dx\) [6455]
   \(\int \genfrac {}{}{}{}{6+39 x+6 x^2+(76+62 x+12 x^2) \log (\genfrac {}{}{}{}{2+x}{3})+\log (2 x) (2 x+(4+2 x) \log (\genfrac {}{}{}{}{2+x}{3}))}{12+6 x} \, dx\) [6456]
   \(\int -\genfrac {}{}{}{}{1}{2} e^{5+\genfrac {}{}{}{}{1}{2} (2-e^5 x)} \, dx\) [6457]
   \(\int \genfrac {}{}{}{}{e^{3 x} (3+15 x+12 x^2)+e^{2 x} (-4-x+14 x^2+8 x^3+e^3 (2+10 x+8 x^2))+e^{2 x} (-2-10 x-8 x^2) \log (1+5 x+4 x^2)}{1+5 x+4 x^2} \, dx\) [6458]
   \(\int \genfrac {}{}{}{}{28080-18720 e^8 x+4320 e^{16} x^2+e^x (-18720-18720 x+e^8 (12480 x+14880 x^2)+e^{16} (-2880 x^2-2880 x^3))+e^{2 x} (3120+6240 x+e^8 (-2080 x-4960 x^2)+e^{16} (480 x^2+960 x^3))}{169-156 e^8 x+36 e^{16} x^2} \, dx\) [6459]
   \(\int \genfrac {}{}{}{}{-x+(4+x+\log (4)) \log (\genfrac {}{}{}{}{4+x+\log (4)}{\log (2)})}{(4+x+\log (4)) \log ^2(\genfrac {}{}{}{}{4+x+\log (4)}{\log (2)})} \, dx\) [6460]
   \(\int \genfrac {}{}{}{}{7040+4096 x+810 x^2+67 x^3+2 x^4+e^9 (7+2 x)+e^6 (210+81 x+6 x^2)+e^3 (2104+1020 x+141 x^2+6 x^3)}{1000+e^9+300 x+30 x^2+x^3+e^6 (30+3 x)+e^3 (300+60 x+3 x^2)} \, dx\) [6461]
   \(\int (e^3+e^{x+4 e^x x} (1+e^x (4+4 x))) \, dx\) [6462]
   \(\int \genfrac {}{}{}{}{128 x^2+32 x^3-2 x^5+e^4 (-64 x^2-32 x^3+4 x^4-2 x^5)+e^{14} (32+8 x+e^4 (-16-8 x+x^2))+e^7 (128 x+32 x^2-2 x^4+e^4 (-64 x-32 x^2+4 x^3-x^4))+(-64 x^2-32 x^3+4 x^4-2 x^5+e^{14} (-16-8 x+x^2)+e^7 (-64 x-32 x^2+4 x^3-x^4)) \log (\genfrac {}{}{}{}{-32 x-16 x^2+2 x^3-x^4+e^7 (-16-8 x+x^2)}{e^7 x^2+2 x^3})}{-64 x^2-32 x^3+4 x^4-2 x^5+e^{14} (-16-8 x+x^2)+e^7 (-64 x-32 x^2+4 x^3-x^4)} \, dx\) [6463]
   \(\int \genfrac {}{}{}{}{-80 e^2-64 x+e^x (8 x^3+4 x^4+e^2 (4 x^2+4 x^3))+(144 e^2+136 x+e^x (-6 x^3-4 x^4+e^2 (-4 x^2-4 x^3))) \log (e^2+x)+(-100 e^2-100 x+e^x (x^3+x^4+e^2 (x^2+x^3))) \log ^2(e^2+x)+(32 e^2+32 x) \log ^3(e^2+x)+(-4 e^2-4 x) \log ^4(e^2+x)}{400 e^2+400 x+e^x (40 e^2 x^2+40 x^3)+e^{2 x} (e^2 x^4+x^5)+(-640 e^2-640 x+e^x (-32 e^2 x^2-32 x^3)) \log (e^2+x)+(416 e^2+416 x+e^x (8 e^2 x^2+8 x^3)) \log ^2(e^2+x)+(-128 e^2-128 x) \log ^3(e^2+x)+(16 e^2+16 x) \log ^4(e^2+x)} \, dx\) [6464]
   \(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{192+96 x^2+12 x^4+e^{2 x^2} (12 x^2-4 e^4 x^2)+e^4 (-64-32 x^2-4 x^4)+e^{x^2} (96 x+24 x^3+e^4 (-32 x-8 x^3))}{x^4}} (-768-192 x^2+e^4 (256+64 x^2)+e^{2 x^2} (-24 x^2+48 x^4+e^4 (8 x^2-16 x^4))+e^{x^2} (-288 x+168 x^3+48 x^5+e^4 (96 x-56 x^3-16 x^5)))}{x^5} \, dx\) [6465]
   \(\int \genfrac {}{}{}{}{e^{-\genfrac {}{}{}{}{2 (-5 e^{e^{x^2}}-5 x+x^2)}{e^{e^{x^2}}+x}} (2 e^{2 e^{x^2}} \log (x+\log (2))+2 x^2 \log (x+\log (2))+(-2 x^3-2 x^2 \log (2)) \log ^2(x+\log (2))+e^{e^{x^2}} (4 x \log (x+\log (2))+(-4 x^2-4 x \log (2)+e^{x^2} (4 x^4+4 x^3 \log (2))) \log ^2(x+\log (2))))}{x^3+x^2 \log (2)+e^{2 e^{x^2}} (x+\log (2))+e^{e^{x^2}} (2 x^2+2 x \log (2))} \, dx\) [6466]
   \(\int -\genfrac {}{}{}{}{1}{x} \, dx\) [6467]
   \(\int \genfrac {}{}{}{}{-15 x+2 e^{2 x} x^3+2 x^5+e^x (-10-5 x+4 x^4)+(5 x+8 x^4+2 x^5+e^{2 x} (8 x^2+2 x^3)+e^x (5+16 x^3+4 x^4)) \log (\genfrac {}{}{}{}{5+8 x^3+2 x^4+e^x (8 x^2+2 x^3)}{2 e^x x^2+2 x^3})}{25 x+40 x^4+10 x^5+e^{2 x} (40 x^2+10 x^3)+e^x (25+80 x^3+20 x^4)} \, dx\) [6468]
   \(\int \genfrac {}{}{}{}{-e^{\genfrac {}{}{}{}{e^{e^3}}{3}} x^2+e^x (-4+6 x-x^2)}{e^x (4 x-x^2)+e^{\genfrac {}{}{}{}{e^{e^3}}{3}} (-4 x^2+x^3)} \, dx\) [6469]
   \(\int \genfrac {}{}{}{}{-5+e^4-x+x^2+(-5+e^4-x^2) \log (x)+(4-e) \log ^2(x)}{25+e^8+10 x-9 x^2-2 x^3+x^4+e^4 (-10-2 x+2 x^2)+(-40+(8-2 e) e^4-8 x+8 x^2+e (10+2 x-2 x^2)) \log (x)+(16-8 e+e^2) \log ^2(x)} \, dx\) [6470]
   \(\int \genfrac {}{}{}{}{e^{-3-\genfrac {}{}{}{}{x}{e^3}} (e^3 (1-x)-2 x+x^2-x \log (x))}{x} \, dx\) [6471]
   \(\int \genfrac {}{}{}{}{e^{e^{-4+2 x}} (1+8 x+e^{-4+2 x} (10-2 x-8 x^2))}{25-10 x-39 x^2+8 x^3+16 x^4} \, dx\) [6472]
   \(\int \genfrac {}{}{}{}{5 e^{5-x}+(5+e^{5-x} (-5-5 x)) \log (x)+(5-5 \log (x)) \log (5 x)}{2 x^2} \, dx\) [6473]
   \(\int \genfrac {}{}{}{}{e^{32-x} (e^x (2-9 x)+e^4 (-2+x)) x}{(-3 e^4+3 e^x) (e^8+e^{2 x}-2 e^{4+x})^4} \, dx\) [6474]
   \(\int \genfrac {}{}{}{}{49-40 x+36 x^2+40 x^3-14 x^4+e^x (31-88 x-36 x^2+24 x^3-2 x^4)}{-49 x-40 x^2+12 x^3+8 x^4-2 x^5+e^x (49+40 x-12 x^2-8 x^3+2 x^4)} \, dx\) [6475]
   \(\int e^{3+16 x-8 e^2 x+e^4 x-x^2} (16-8 e^2+e^4-2 x) \, dx\) [6476]
   \(\int \genfrac {}{}{}{}{2 x \log (x)+(-216 x^3+216 x^4-72 x^5+8 x^6) \log ^3(x)+(6-2 x+(6-4 x) \log (x)) \log (9-6 x+x^2)}{(-27 x^3+27 x^4-9 x^5+x^6) \log ^3(x)} \, dx\) [6477]
   \(\int \genfrac {}{}{}{}{10+20 x-24 x^2-6 e^{2 x} x^2+e^x (-5-15 x+19 x^2)}{36 x^2+72 x^3+36 x^4+e^x (-36 x^2-72 x^3-36 x^4)+e^{2 x} (9 x^2+18 x^3+9 x^4)} \, dx\) [6478]
   \(\int \genfrac {}{}{}{}{110 x-25 x^2}{121-110 x+25 x^2} \, dx\) [6479]
   \(\int \genfrac {}{}{}{}{100-60 x-140 x^2-70 x^3-14 x^4-x^5+(-25+15 x+9 x^2+x^3) \log (2)}{-100 x-120 x^2-60 x^3-13 x^4-x^5+(25 x+10 x^2+x^3) \log (2)} \, dx\) [6480]
   \(\int \genfrac {}{}{}{}{1}{500} (500+379 \log (2)) \, dx\) [6481]
   \(\int \genfrac {}{}{}{}{1}{30} e^{\genfrac {}{}{}{}{1}{10} (2 e^{x/4}-x-10 \log (\genfrac {}{}{}{}{2}{x}))} (-40+2 x-e^{x/4} x) \, dx\) [6482]
   \(\int \genfrac {}{}{}{}{3}{4} e^{e^x-x} (16-16 x+16 e^x x+\genfrac {}{}{}{}{4}{3} e^{-e^x+x} (20+8 x)) \, dx\) [6483]
   \(\int \genfrac {}{}{}{}{-48+8 x^2 \log (16)+x^4 \log ^2(16)}{x^4 \log ^2(16)} \, dx\) [6484]
   \(\int \genfrac {}{}{}{}{-x+x^2+(x^2-x^3) \log (5)+(x^2-x^3 \log (5)) \log (x)+e^{-e^{e^5 x}+x} (1-x-x \log (x))+(e^{-e^{e^5 x}+x} (-x+x^2+e^{5+e^5 x} (x-x^2)) \log (x)+(x-x^2+(-2 x^2+2 x^3) \log (5)) \log (x)) \log ((-1+x) \log (x))}{(-x+x^2) \log (x) \log ^2((-1+x) \log (x))} \, dx\) [6485]
   \(\int (2 x-e^2 \log (2)) \, dx\) [6486]
   \(\int (2 e^{2 x}-96 e^{3 x}+6 e^{6 x}) \, dx\) [6487]
   \(\int \genfrac {}{}{}{}{-64-16 x+66 x^2+17 x^3}{4 x^2+x^3} \, dx\) [6488]
   \(\int \genfrac {}{}{}{}{-3 x^2+e^{e^{4+e^2 (36+24 x+4 x^2)+e^4 (81+108 x+54 x^2+12 x^3+x^4)}} (-75+e^{4+e^2 (36+24 x+4 x^2)+e^4 (81+108 x+54 x^2+12 x^3+x^4)} (e^2 (600 x+200 x^2)+e^4 (2700 x+2700 x^2+900 x^3+100 x^4)))}{x^4} \, dx\) [6489]
   \(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{-3-4 x+\log (\genfrac {}{}{}{}{x+x^4-2 x^2 \log (x^2)+\log ^2(x^2)}{x})}{x}} (3 x-4 x^2+6 x^4+(4-8 x^2) \log (x^2)+2 \log ^2(x^2)+(-x-x^4+2 x^2 \log (x^2)-\log ^2(x^2)) \log (\genfrac {}{}{}{}{x+x^4-2 x^2 \log (x^2)+\log ^2(x^2)}{x}))}{x^3+x^6-2 x^4 \log (x^2)+x^2 \log ^2(x^2)} \, dx\) [6490]
   \(\int (1-2 e^x-2 e^{2+2 x}+4 x) \, dx\) [6491]
   \(\int \genfrac {}{}{}{}{6}{x^2} \, dx\) [6492]
   \(\int \genfrac {}{}{}{}{e^{-\genfrac {}{}{}{}{e^2 x}{3 x-e^x x+\log (\log (\genfrac {}{}{}{}{x^2}{\log ^2(2) \log ^2(x)}))}} (-2 e^2+2 e^2 \log (x)-e^{2+x} x^2 \log (x) \log (\genfrac {}{}{}{}{x^2}{\log ^2(2) \log ^2(x)})-e^2 \log (x) \log (\genfrac {}{}{}{}{x^2}{\log ^2(2) \log ^2(x)}) \log (\log (\genfrac {}{}{}{}{x^2}{\log ^2(2) \log ^2(x)})))}{(9 x^2-6 e^x x^2+e^{2 x} x^2) \log (x) \log (\genfrac {}{}{}{}{x^2}{\log ^2(2) \log ^2(x)})+(6 x-2 e^x x) \log (x) \log (\genfrac {}{}{}{}{x^2}{\log ^2(2) \log ^2(x)}) \log (\log (\genfrac {}{}{}{}{x^2}{\log ^2(2) \log ^2(x)}))+\log (x) \log (\genfrac {}{}{}{}{x^2}{\log ^2(2) \log ^2(x)}) \log ^2(\log (\genfrac {}{}{}{}{x^2}{\log ^2(2) \log ^2(x)}))} \, dx\) [6493]
   \(\int \genfrac {}{}{}{}{40 x+5 x^2+10 x^5-20 x^3 \log (x)+(-60 x^3-5 x^4-10 x^7) \log ^2(x)+(-20 x+20 x^3 \log ^2(x)) \log (1-x^2 \log ^2(x))}{-16-8 x-x^2+8 x^4+2 x^5-x^8+(16 x^2+8 x^3+x^4-8 x^6-2 x^7+x^{10}) \log ^2(x)+(16+4 x-4 x^4+(-16 x^2-4 x^3+4 x^6) \log ^2(x)) \log (1-x^2 \log ^2(x))+(-4+4 x^2 \log ^2(x)) \log ^2(1-x^2 \log ^2(x))} \, dx\) [6494]
   \(\int \genfrac {}{}{}{}{e^{-\genfrac {}{}{}{}{48+48 x}{-5+x}} (288 e^2+100 x^3+248 x^4+4 x^5+e (-100 x-536 x^2-4 x^3))}{25-10 x+x^2} \, dx\) [6495]
   \(\int (-4+e^3+e^{2 x} (-1-2 x)+2 x-3 x^2+e^x (4 x+2 x^2)) \, dx\) [6496]
   \(\int (3+3 e^{x^2} x) \, dx\) [6497]
   \(\int \genfrac {}{}{}{}{7 x^2-4 x^3-14 x^4+(-3-6 x^2) \log (4)+(-2 x-7 x^2-3 \log (4)) \log (\genfrac {}{}{}{}{-2 x-7 x^2-3 \log (4)}{3 x})}{2 x^3+7 x^4+3 x^2 \log (4)} \, dx\) [6498]
   \(\int \genfrac {}{}{}{}{e^{e^{4 x}} (30-6 x+(-6+6 x+e^{4 x} (-120+144 x-24 x^2)) \log (-1+x))}{-25+35 x-11 x^2+x^3} \, dx\) [6499]
   \(\int (3+\log (2 x^2)) \, dx\) [6500]