3.103 Integrals 10201 to 10300

   \(\int e^x (6+6 x) \, dx\) [10201]
   \(\int \genfrac {}{}{}{}{1}{5} (5+4 x^3) \, dx\) [10202]
   \(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{1}{9} (225 e \log ^2(x^2)-150 e \log (x^2) \log (\log (\genfrac {}{}{}{}{4-x}{4}))+25 e \log ^2(\log (\genfrac {}{}{}{}{4-x}{4})))} ((-150 e x+e (-3600+900 x) \log (\genfrac {}{}{}{}{4-x}{4})) \log (x^2)+(50 e x+e (1200-300 x) \log (\genfrac {}{}{}{}{4-x}{4})) \log (\log (\genfrac {}{}{}{}{4-x}{4})))}{(-36 x+9 x^2) \log (\genfrac {}{}{}{}{4-x}{4})} \, dx\) [10203]
   \(\int \genfrac {}{}{}{}{-62181 x^2-64827 x^3+e^x (-882+1764 x)}{4 e^{3 x}+e^{2 x} (24 x-588 x^2)+e^x (36 x^2-1764 x^3+21609 x^4)} \, dx\) [10204]
   \(\int \genfrac {}{}{}{}{e^{-2 x} (180 e^5 \log (\log (x))+e^5 (-180-180 x) \log (x) \log ^2(\log (x)))}{x^3 \log (x)} \, dx\) [10205]
   \(\int \genfrac {}{}{}{}{-3969-1024 e^{1024 x/3969}}{3969} \, dx\) [10206]
   \(\int \genfrac {}{}{}{}{e^x (5-5 x)+4 x^2+4 x^3-2 x^2 \log (\genfrac {}{}{}{}{\log ^2(2)}{x^2})}{4 x^2} \, dx\) [10207]
   \(\int \genfrac {}{}{}{}{-2 e^2 x+e^2 \log (4)+e^{\genfrac {}{}{}{}{32 x}{e^2}} (-2 e^2 x-32 x^2) \log (4)}{e^2 \log (4)} \, dx\) [10208]
   \(\int \genfrac {}{}{}{}{-x+(-x+x^2) \log (x)+(-2 x^2 \log (x)+2 x \log (x) \log (x \log (x))) \log (8 x-8 \log (x \log (x)))}{(-x \log (x)+\log (x) \log (x \log (x))) \log ^2(8 x-8 \log (x \log (x)))} \, dx\) [10209]
   \(\int \genfrac {}{}{}{}{e^{-8 x-e^{.\genfrac {}{}{}{}{1}{4}/x} x+x \log (x^2)} (e^{3+\genfrac {}{}{}{}{1}{4 x}} (1-4 x)-24 e^3 x+4 e^3 x \log (x^2))}{4 x} \, dx\) [10210]
   \(\int \genfrac {}{}{}{}{-4+3 x+6 x^2-3 x^3+(-2+x) \log (2 x-x^2)}{4-4 x+x^2+2 x^3-x^4+(-2 x+x^2) \log (2 x-x^2)} \, dx\) [10211]
   \(\int \genfrac {}{}{}{}{e^8+e^{2 x}+150 x^2-2 e^4 x^2+x^4+e^x (2 e^4-75 x-2 x^2)}{e^8 x+e^{2 x} x-2 e^4 x^3+x^5+e^x (2 e^4 x-2 x^3)} \, dx\) [10212]
   \(\int \genfrac {}{}{}{}{12+1246 x-622 x^3+(-8-623 x) \log (x)}{x^3} \, dx\) [10213]
   \(\int \genfrac {}{}{}{}{e^{e^3} (-3200+2400 x-600 x^2+50 x^3)+10 x \log (x)+(-3200+2400 x-600 x^2+50 x^3) \log (\log (x))}{(-64 x+48 x^2-12 x^3+x^4) \log (x)} \, dx\) [10214]
   \(\int \genfrac {}{}{}{}{-6 e^{-3+e}+e^{-6+2 e} (4-4 x+x^2)}{4+8 x+4 x^2+e^{-3+e} (-8 x-4 x^2+4 x^3)+e^{-6+2 e} (4 x^2-4 x^3+x^4)} \, dx\) [10215]
   \(\int \genfrac {}{}{}{}{8+10 x+e^{9+x} (4+5 x) (-9 x-5 x^2)}{4 x+5 x^2} \, dx\) [10216]
   \(\int \genfrac {}{}{}{}{-24+2 x^2+10 x^4}{-4 x+5 x^3} \, dx\) [10217]
   \(\int \genfrac {}{}{}{}{-4 x+8 x \log (x)+20 e^{13-x} \log ^2(x)}{5 e^3 \log ^2(x)} \, dx\) [10218]
   \(\int \genfrac {}{}{}{}{x (i \pi +\log (3))^4-2 (i \pi +\log (3))^4 \log (x)+(x (i \pi +\log (3))^4-(i \pi +\log (3))^4 \log ^2(x)) \log (x-\log ^2(x))+(-4 e^{4+x} x^3 (i \pi +\log (3))^2+8 e^{4+x} x^2 (i \pi +\log (3))^2 \log (x)) \log ^2(x-\log ^2(x))+(e^{4+x} (-4 x^3+2 x^4) (i \pi +\log (3))^2+e^{4+x} (4 x^2-2 x^3) (i \pi +\log (3))^2 \log ^2(x)) \log ^3(x-\log ^2(x))+(-8 e^{8+2 x} x^6+8 e^{8+2 x} x^5 \log ^2(x)) \log ^5(x-\log ^2(x))}{(-4 x^6+4 x^5 \log ^2(x)) \log ^5(x-\log ^2(x))} \, dx\) [10219]
   \(\int \genfrac {}{}{}{}{e^{5+\genfrac {}{}{}{}{2 x}{e^5}} (12+12 x+3 x^2)+e^5 (12 x^2+3 e^2 x^2+12 x^3+3 x^4+e (-16 x^2-6 x^3))+e^{\genfrac {}{}{}{}{x}{e^5}} (e (8 x+4 x^2)+e^5 (-24 x-24 x^2-6 x^3+e (-8+12 x+6 x^2)))}{e^{5+\genfrac {}{}{}{}{2 x}{e^5}} (12+12 x+3 x^2)+e^{5+\genfrac {}{}{}{}{x}{e^5}} (-24 x-24 x^2-6 x^3+e (12 x+6 x^2))+e^5 (12 x^2+3 e^2 x^2+12 x^3+3 x^4+e (-12 x^2-6 x^3))} \, dx\) [10220]
   \(\int \genfrac {}{}{}{}{3^{-\genfrac {}{}{}{}{2}{-5-x-x^2+\log (x)}} (-4050-1620 x-1782 x^2-324 x^3-162 x^4+(54-54 x-108 x^2) \log (3)+(1620+324 x+324 x^2) \log (x)-162 \log ^2(x))}{25 x^7+10 x^8+11 x^9+2 x^{10}+x^{11}+(-10 x^7-2 x^8-2 x^9) \log (x)+x^7 \log ^2(x)} \, dx\) [10221]
   \(\int \genfrac {}{}{}{}{-2 x+2 e^{2/x} x+20 x^3+12 x^4+2 x^5+e^{\genfrac {}{}{}{}{1}{x}} (-2-2 x+12 x^2+4 x^3)+(2 x-4 e^{\genfrac {}{}{}{}{1}{x}} x-12 x^2-4 x^3) \log (x)+2 x \log ^2(x)}{e^{2/x} x+9 x^3+6 x^4+x^5+e^{\genfrac {}{}{}{}{1}{x}} (6 x^2+2 x^3)+(-2 e^{\genfrac {}{}{}{}{1}{x}} x-6 x^2-2 x^3) \log (x)+x \log ^2(x)} \, dx\) [10222]
   \(\int \genfrac {}{}{}{}{-2-4 x-5 x^2-10 x^3-\log (2)+(2+\log (2)) \log (x)}{5 x^2} \, dx\) [10223]
   \(\int \genfrac {}{}{}{}{1-\log (10 x \log (3))}{25 x^2} \, dx\) [10224]
   \(\int \genfrac {}{}{}{}{71+e^{18+12 x+2 x^2}+e^{9+6 x+x^2} (17-6 x-2 x^2)+(17+2 e^{9+6 x+x^2}) \log (x)+\log ^2(x)}{64+16 e^{9+6 x+x^2}+e^{18+12 x+2 x^2}+(16+2 e^{9+6 x+x^2}) \log (x)+\log ^2(x)} \, dx\) [10225]
   \(\int \genfrac {}{}{}{}{1+(-1-162 x^2+216 e^e x^2-108 e^{2 e} x^2+24 e^{3 e} x^2-2 e^{4 e} x^2) \log (\genfrac {}{}{}{}{1}{x})}{x \log (\genfrac {}{}{}{}{1}{x})} \, dx\) [10226]
   \(\int (-8 x+16 x^2) \log (3) \, dx\) [10227]
   \(\int \genfrac {}{}{}{}{1}{3} (1+80 x) \, dx\) [10228]
   \(\int \genfrac {}{}{}{}{(x-2 x \log (4)+x \log ^2(4)) \log (\genfrac {}{}{}{}{x}{2})+(2 x^2-4 x^2 \log (4)+2 x^2 \log ^2(4)) \log (\genfrac {}{}{}{}{x}{2}) \log (x)+(2 x^2-4 x^2 \log (4)+2 x^2 \log ^2(4)) \log (\genfrac {}{}{}{}{x}{2}) \log ^2(x)+100 \log ^3(\log (\genfrac {}{}{}{}{x}{2}))}{(x-2 x \log (4)+x \log ^2(4)) \log (\genfrac {}{}{}{}{x}{2})} \, dx\) [10229]
   \(\int \genfrac {}{}{}{}{-395641-9 e^2+32708 x-676 x^2+e^{-3+x} (-1965-9 e+78 x)+e (-3774+156 x)}{395641+9 e^2+e (3774-156 x)-32708 x+676 x^2} \, dx\) [10230]
   \(\int \genfrac {}{}{}{}{8 e^5 x^{14}+e^{4 x} (16 x^7-8 x^8+e^5 (-14 x^6+8 x^7))}{e^{8 x}+8 e^{4 x} x^8+16 x^{16}} \, dx\) [10231]
   \(\int \genfrac {}{}{}{}{e^{x^6} x^2+e^{x^6} (1-2 x) \log (\log (3))+e^{e^{e^x-x^6}} (-e^{x^6}+e^{e^x} (e^x x-6 x^6+(-e^x+6 x^5) \log (\log (3))))}{e^{x^6} x^2-2 e^{x^6} x \log (\log (3))+e^{x^6} \log ^2(\log (3))} \, dx\) [10232]
   \(\int \genfrac {}{}{}{}{38 x+2 x^2+36 \log (x)}{x^3+x^2 \log (x)} \, dx\) [10233]
   \(\int \genfrac {}{}{}{}{-4 x+x^6 (3+x)+x^3 (3+2 x) \log (2)+x \log ^2(2)}{-4 x+x^7+2 x^4 \log (2)+x \log ^2(2)} \, dx\) [10234]
   \(\int \genfrac {}{}{}{}{-2-2 x+e^x (-6+x^2)}{1+2 e^x+e^{2 x}} \, dx\) [10235]
   \(\int \genfrac {}{}{}{}{20-20 e^2+20 e x-5 x^2}{4 e^2-4 e x+x^2} \, dx\) [10236]
   \(\int (-300 e^4 x-100 x^3+(150 e^4+150 x^2) \log (4)-50 x \log ^2(4)) \, dx\) [10237]
   \(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{x^2}{6+14 x+6 x^2+4 x^3}} (6 x+7 x^2-2 x^4)}{18+84 x+134 x^2+108 x^3+74 x^4+24 x^5+8 x^6} \, dx\) [10238]
   \(\int \genfrac {}{}{}{}{81 x^2-66 x^3+18 x^4-2 x^5+63 x^6-30 x^7+5 x^8+e^x (-9 x^2+7 x^3-x^4-7 x^6+x^7)}{162+2 e^{2 x}-180 x+86 x^2-20 x^3+2 x^4+e^x (-36+20 x-4 x^2)} \, dx\) [10239]
   \(\int \genfrac {}{}{}{}{2+2 e^{2 x}+e^x (1+4 x)+e^{3 x^2} (6 e^x x+12 x^2)}{e^x+2 x} \, dx\) [10240]
   \(\int \genfrac {}{}{}{}{e^{e^x+x^2} (4+2 x-8 x^2-2 x^3+e^x (-4 x-x^2))+e^{x^2} (-x^2+8 x^3+2 x^4+e^x (32-16 x-78 x^2-34 x^3-4 x^4))}{16 x^2+8 x^3+x^4} \, dx\) [10241]
   \(\int \genfrac {}{}{}{}{300+690 x+204 x^2+18 x^3+e^x (-500-2150 x-1215 x^2-240 x^3-15 x^4)+(-300-120 x-12 x^2+e^x (500+700 x+220 x^2+20 x^3)) \log (x)}{100+40 x+4 x^2} \, dx\) [10242]
   \(\int \genfrac {}{}{}{}{-24576+1152 x^2+96 x^3+e^{2 x} (8192 x+2560 x^2-2560 x^3+96 x^4+64 x^5)}{64+16 x+x^2} \, dx\) [10243]
   \(\int \genfrac {}{}{}{}{-64-4 x+x^2+32 \log (2)-4 \log ^2(2)+4 \log (2 e^x)}{x^2} \, dx\) [10244]
   \(\int \genfrac {}{}{}{}{e^{-2 x+\genfrac {}{}{}{}{e^{-2 x} (9-10000 e^{2 x} x^2)}{10000 x^2}} (-9-9 x)}{5000 x^3} \, dx\) [10245]
   \(\int \genfrac {}{}{}{}{-1+2 x^2+4 x^3}{x^2} \, dx\) [10246]
   \(\int \genfrac {}{}{}{}{e^{2 x} (189-243 x+117 x^2-25 x^3+2 x^4+e^{\genfrac {}{}{}{}{2304+768 x+64 x^2}{9-6 x+x^2}} (27+6831 x+1215 x^2-19 x^3+2 x^4))}{-243+405 x-270 x^2+90 x^3-15 x^4+x^5+e^{\genfrac {}{}{}{}{2 (2304+768 x+64 x^2)}{9-6 x+x^2}} (-27 x^2+27 x^3-9 x^4+x^5)+e^{\genfrac {}{}{}{}{2304+768 x+64 x^2}{9-6 x+x^2}} (162 x-216 x^2+108 x^3-24 x^4+2 x^5)} \, dx\) [10247]
   \(\int \genfrac {}{}{}{}{1}{-2 e-2 x+(e+x) \log (5 e+5 x)} \, dx\) [10248]
   \(\int \genfrac {}{}{}{}{618-164770 x-24360 x^2-33206 x^3-4820 x^4-240 x^5-4 x^6+e^{15} (20 x+4 x^3)+e^{10} (-1212 x-60 x^2-240 x^3-12 x^4)+e^5 (-30+24480 x+2418 x^2+4860 x^3+480 x^4+12 x^5)}{-8000+e^{15}+e^{10} (-60-3 x)-1200 x-60 x^2-x^3+e^5 (1200+120 x+3 x^2)} \, dx\) [10249]
   \(\int \genfrac {}{}{}{}{e^{2 x^2+4 e^{4 x} x^2} (e^5 (-18+36 x^2)+e^{5+4 x} (72 x^2+144 x^3))}{x^3} \, dx\) [10250]
   \(\int e^{-x} (e^x+e^4 (2-8 x+3 x^2)) \, dx\) [10251]
   \(\int \genfrac {}{}{}{}{1953125 x^3-1953125 x^4+781250 x^5-156250 x^6+15625 x^7-625 x^8+e^{\genfrac {}{}{}{}{\log ^4(3)}{390625 x^2-312500 x^3+93750 x^4-12500 x^5+625 x^6}} (10-6 x) \log ^4(3)}{-1953125 x^3+1953125 x^4-781250 x^5+156250 x^6-15625 x^7+625 x^8} \, dx\) [10252]
   \(\int \genfrac {}{}{}{}{1}{2} e^{\genfrac {}{}{}{}{1}{4} (-11+4 e^x)} (1+e^{\genfrac {}{}{}{}{1}{4} (11-4 e^x)} (20 e^x+4 e^{2 x})+e^x x) \, dx\) [10253]
   \(\int e^x \, dx\) [10254]
   \(\int e^{-e^4} (e^{4+e^4-x} (3-3 x)+e^x (1+x)) \, dx\) [10255]
   \(\int \genfrac {}{}{}{}{-\log (3)+\log (3) \log (x) \log (\log (x))+(-1+4 \log (3)+\log (3) \log (4)) \log (x) \log ^2(\log (x))}{\log (x) \log ^2(\log (x))} \, dx\) [10256]
   \(\int \genfrac {}{}{}{}{816+5 x-18 x^2+x^3+(-96-7 x+x^2) \log (x)}{384 x-72 x^2+3 x^3+(-48 x+3 x^2) \log (x)} \, dx\) [10257]
   \(\int \genfrac {}{}{}{}{-95-60 x+e^2 (15+10 x)+e^x (-19 x-12 x^2+e^2 (3 x+2 x^2))+e^x (-2-21 x-25 x^2-6 x^3+e^2 (3 x+4 x^2+x^3)) \log (2+19 x+6 x^2+e^2 (-3 x-x^2))}{-6-57 x-18 x^2+e^2 (9 x+3 x^2)} \, dx\) [10258]
   \(\int \genfrac {}{}{}{}{-6 x+56 x^2-2 e^{3 x/4} x^2-54 x^3+18 x^4-2 x^5+e^{x/2} (18 x^2-6 x^3)+e^{x/4} (2 x-54 x^2+36 x^3-6 x^4)+(-2 x+54 x^2+6 e^{x/2} x^2-36 x^3+6 x^4+e^{x/4} (-36 x^2+12 x^3)) \log (x)+(18 x^2-6 e^{x/4} x^2-6 x^3) \log ^2(x)+2 x^2 \log ^3(x)+(-10+528 x-434 x^2+72 x^3+16 x^4-4 x^5+e^{3 x/4} (-20 x-4 x^2)+e^{x/2} (180 x-24 x^2-12 x^3)+e^{x/4} (10-543 x+251 x^2+12 x^3-12 x^4)+(-10+538 x-252 x^2-12 x^3+12 x^4+e^{x/2} (60 x+12 x^2)+e^{x/4} (-360 x+48 x^2+24 x^3)) \log (x)+(180 x-24 x^2-12 x^3+e^{x/4} (-60 x-12 x^2)) \log ^2(x)+(20 x+4 x^2) \log ^3(x)) \log (5+x)}{270+e^{3 x/4} (-10-2 x)-216 x+36 x^2+8 x^3-2 x^4+e^{x/2} (90-12 x-6 x^2)+e^{x/4} (-270+126 x+6 x^2-6 x^3)+(270-126 x-6 x^2+6 x^3+e^{x/2} (30+6 x)+e^{x/4} (-180+24 x+12 x^2)) \log (x)+(90+e^{x/4} (-30-6 x)-12 x-6 x^2) \log ^2(x)+(10+2 x) \log ^3(x)} \, dx\) [10259]
   \(\int \genfrac {}{}{}{}{e^{2 x} (-4 x+4 x^2)+e^x (-4 x^2+4 x^3)+e^{2 x} (2 e^{2 x}-2 x^2+4 e^x x^2+4 x^3)}{e^{4 x} x^2-2 e^{2 x} x^3+x^4} \, dx\) [10260]
   \(\int \genfrac {}{}{}{}{1}{4} e^{\genfrac {}{}{}{}{1}{4} (51 x-17 x \log (2)+e^x (-12 x+4 x \log (2)))} (51-17 \log (2)+e^x (-12-12 x+(4+4 x) \log (2))) \, dx\) [10261]
   \(\int \genfrac {}{}{}{}{e^{x+x^2} (1-2 x)+e^x (19880+282 x+x^2)}{1626347584+4 e^{2 x^2}+45812608 x+483936 x^2+2272 x^3+4 x^4+e^{x^2} (161312+2272 x+8 x^2)} \, dx\) [10262]
   \(\int \genfrac {}{}{}{}{-507 x^2+481 x^3-152 x^4+16 x^5+(-234 x^2+150 x^3-24 x^4) \log (81-108 x+54 x^2-12 x^3+x^4)+(-27 x^2+9 x^3) \log ^2(81-108 x+54 x^2-12 x^3+x^4)+e^{\genfrac {}{}{}{}{1}{13 x-4 x^2+3 x \log (81-108 x+54 x^2-12 x^3+x^4)}} (39-49 x+8 x^2+(9-3 x) \log (81-108 x+54 x^2-12 x^3+x^4))}{-507 x^2+481 x^3-152 x^4+16 x^5+(-234 x^2+150 x^3-24 x^4) \log (81-108 x+54 x^2-12 x^3+x^4)+(-27 x^2+9 x^3) \log ^2(81-108 x+54 x^2-12 x^3+x^4)} \, dx\) [10263]
   \(\int \genfrac {}{}{}{}{9 x^2+x^2 \log (5)+(90 x+18 x^2+2 x^2 \log (5)) \log (\genfrac {}{}{}{}{-45-9 x-x \log (5)}{\log (5)})}{45+9 x+x \log (5)} \, dx\) [10264]
   \(\int \genfrac {}{}{}{}{e^{25/x} (-25-x)-x^2+e^{50/x} (x+8 x^2)+e^{25/x} (-2 x^2-16 x^3) \log (x \log (3))+(x^3+8 x^4) \log ^2(x \log (3))}{2 e^{50/x} x-4 e^{25/x} x^2 \log (x \log (3))+2 x^3 \log ^2(x \log (3))} \, dx\) [10265]
   \(\int \genfrac {}{}{}{}{16-5 \log (4)+e^x (-4-4 x+(1+x) \log (4))}{12+4 e^2+16 x+(-3-e^2-5 x) \log (4)+e^x (-4 x+x \log (4))} \, dx\) [10266]
   \(\int \genfrac {}{}{}{}{10 x+2 x^2+e^3 (8 x+4 x^2+2 x^3)+(10+2 x+e^3 (8+4 x+2 x^2)) \log (4+x+e^3 (4+x^2))}{4+x+e^3 (4+x^2)} \, dx\) [10267]
   \(\int \genfrac {}{}{}{}{18-x-x^2}{6 x+x^2} \, dx\) [10268]
   \(\int \genfrac {}{}{}{}{e^4 (-3+2 x+x^2+4 \log (x)-\log ^2(x)) (-12-6 x-4 x^2-6 x^3-4 x^4+(6-6 x^2) \log (x)+2 x^2 \log ^2(x))}{3 x-2 x^2-x^3-4 x \log (x)+x \log ^2(x)} \, dx\) [10269]
   \(\int \genfrac {}{}{}{}{-25+10 x+4 x^2+375 x^4-150 x^5+15 x^6}{25 x^2-10 x^3+x^4} \, dx\) [10270]
   \(\int \genfrac {}{}{}{}{1+(-e^5 x+2 x^2) \log ^2(x)}{x \log ^2(x)} \, dx\) [10271]
   \(\int \genfrac {}{}{}{}{6 x^3-4 x^2 \log (2)+e^x (-16 x^5+(-16 x^3+32 x^4) \log (2)+(20 x^2-24 x^3) \log ^2(2)+(-8 x+8 x^2) \log ^3(2)+(1-x) \log ^4(2))+e^{2 x} (-32 x^5+64 x^4 \log (2)-48 x^3 \log ^2(2)+16 x^2 \log ^3(2)-2 x \log ^4(2))}{x^2+e^x (8 x^3-8 x^2 \log (2)+2 x \log ^2(2))+e^{2 x} (16 x^4-32 x^3 \log (2)+24 x^2 \log ^2(2)-8 x \log ^3(2)+\log ^4(2))} \, dx\) [10272]
   \(\int \genfrac {}{}{}{}{2 e x+e^x (2 x-x^2)}{e^2 \log (25)+e^{2 x} \log (25)+2 e^{1+x} \log (25)} \, dx\) [10273]
   \(\int (1-2 e^{1+2 x}) \, dx\) [10274]
   \(\int \genfrac {}{}{}{}{e^{-e^x} ((20+x^2) \log (2)+e^x (-20 x+x^2+x^3) \log (2))}{2000-200 x-195 x^2+10 x^3+5 x^4} \, dx\) [10275]
   \(\int (16 e^{2 e^x+x}+e^{e^x+x} (64-16 e-8 \log (9))) \, dx\) [10276]
   \(\int \genfrac {}{}{}{}{3+e^5 (-1-2 x)+6 x+e (1+2 x)+e^x (1+2 x)+2 e^x x \log (-12-4 e+4 e^5-4 e^x)}{6 x^2+2 e x^2-2 e^5 x^2+2 e^x x^2+(3 x+e x-e^5 x+e^x x) \log ^2(-12-4 e+4 e^5-4 e^x)+(3 x+e x-e^5 x+e^x x) \log (x)} \, dx\) [10277]
   \(\int \genfrac {}{}{}{}{3+2 x}{1+3 x+x^2} \, dx\) [10278]
   \(\int \genfrac {}{}{}{}{-5+e^{4 x^2+4 x^3} (14 x^2+112 x^4+168 x^5)}{x^2} \, dx\) [10279]
   \(\int \genfrac {}{}{}{}{-30 x-2 \log (105)-10 x \log (x)}{x} \, dx\) [10280]
   \(\int \genfrac {}{}{}{}{25+50 x^3-6250 x^4+2500 x^5+390625 x^8+(2 x-500 x^2+100 x^3+62500 x^6) \log (x)+(-10+3750 x^4) \log ^2(x)+100 x^2 \log ^3(x)+\log ^4(x)}{25-10 x+x^2-6250 x^4+1250 x^5+390625 x^8+(-500 x^2+100 x^3+62500 x^6) \log (x)+(-10+2 x+3750 x^4) \log ^2(x)+100 x^2 \log ^3(x)+\log ^4(x)} \, dx\) [10281]
   \(\int \genfrac {}{}{}{}{(32-4 x) \log ^2(-8+x)+(-32+4 x) \log ^2(-8+x) \log (2 x)+(-15 x^3+(-120 x^2+15 x^3) \log (-8+x)+(8 x^2-x^3) \log ^2(-8+x)+(15 x^2+(120 x-15 x^2) \log (-8+x)+(-8 x+x^2) \log ^2(-8+x)) \log (2 x)) \log ^2(\genfrac {}{}{}{}{x-\log (2 x)}{x})}{((8 x^2-x^3) \log ^2(-8+x)+(-8 x+x^2) \log ^2(-8+x) \log (2 x)) \log ^2(\genfrac {}{}{}{}{x-\log (2 x)}{x})} \, dx\) [10282]
   \(\int \genfrac {}{}{}{}{5 x^2+e^{2 e^x+4 x} (-1+4 x+2 e^x x)+8 \log ^7(x)-\log ^8(x)+e^{e^x+2 x} (8 \log ^3(x)+(-2+4 x+2 e^x x) \log ^4(x))}{x^2} \, dx\) [10283]
   \(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{-x-3 x^2+x^2 \log (2)+e^x (1+3 x-x \log (2))}{x}} (-3 x^2+x^2 \log (2)+e^x (-1+x+3 x^2-x^2 \log (2)))}{x^2} \, dx\) [10284]
   \(\int \genfrac {}{}{}{}{e^{e^{\genfrac {}{}{}{}{e^x (-1+e^4+20 x)}{5 x}}+x+\genfrac {}{}{}{}{e^x (-1+e^4+20 x)}{5 x}} (1+e^4 (-1+x)-x+20 x^2)}{5 x^2} \, dx\) [10285]
   \(\int \genfrac {}{}{}{}{405+810 x+270 \log (4)+(405+810 x+270 \log (4)) \log (5)}{2916+972 x+1053 x^2+162 x^3+81 x^4+(648 x+108 x^2+108 x^3) \log (4)+(108+18 x+54 x^2) \log ^2(4)+12 x \log ^3(4)+\log ^4(4)+(5832+972 x+972 x^2+648 x \log (4)+108 \log ^2(4)) \log (5)+2916 \log ^2(5)} \, dx\) [10286]
   \(\int (10 \log ^2(2)+(50 e^2+50 x) \log ^4(2)) \, dx\) [10287]
   \(\int \genfrac {}{}{}{}{8 x^3-10 e x^5+8 x^3 \log (9)+(4 x^3-4 e x^5+4 x^3 \log (9)) \log (-1+e x^2-\log (9))}{1-e x^2+\log (9)} \, dx\) [10288]
   \(\int \genfrac {}{}{}{}{-1-8 x^2+\log (x)}{(-16 x^2-8 x^3-x \log (x)+4 x^2 \log (\log (5))) \log (\genfrac {}{}{}{}{-16 x-8 x^2-\log (x)+4 x \log (\log (5))}{2 x})} \, dx\) [10289]
   \(\int \genfrac {}{}{}{}{3 e^x+e^x (-3+6 x-3 x^2) \log (\genfrac {}{}{}{}{1-x}{x})}{e (-x^2+x^3) \log ^2(\genfrac {}{}{}{}{1-x}{x})} \, dx\) [10290]
   \(\int \genfrac {}{}{}{}{e^{-2+e^{x+x^2}-6 x+x^2} (1-6 x+2 x^2+e^{x+x^2} (x+2 x^2)+(-6 x+2 x^2+e^{x+x^2} (x+2 x^2)) \log (x))}{x} \, dx\) [10291]
   \(\int \genfrac {}{}{}{}{2^{-e^{e^x}} (2 x+\log (-3-3 x+\log (9)))^{e^{e^x}} (e^{e^x} (-9-6 x+2 \log (9))+e^{e^x} (e^x (-6 x-6 x^2+2 x \log (9))+e^x (-3-3 x+\log (9)) \log (-3-3 x+\log (9))) \log (\genfrac {}{}{}{}{1}{2} (2 x+\log (-3-3 x+\log (9)))))}{-6 x-6 x^2+2 x \log (9)+(-3-3 x+\log (9)) \log (-3-3 x+\log (9))} \, dx\) [10292]
   \(\int \genfrac {}{}{}{}{2048 x^7+e^{32} (1-27 x^2)}{e^{32}} \, dx\) [10293]
   \(\int \genfrac {}{}{}{}{-560+840 x+e^x (112-56 x-84 x^2)}{400 x^2-600 x^3+225 x^4+e^x (-160 x^2+240 x^3-90 x^4)+e^{2 x} (16 x^2-24 x^3+9 x^4)} \, dx\) [10294]
   \(\int e^{x^2} (1+2 x+2 x^2+e^8 (2+4 x^2)) \, dx\) [10295]
   \(\int \genfrac {}{}{}{}{50-75 x-20 x^2+35 x^3+12 x^4+x^5+e^{20} (2 x^2+x^3)+e^{10-x} (-45 x+25 x^2+x^3-14 x^4-2 x^5)+e^x (e^{10-x} (20 x-10 x^2-14 x^3-2 x^4)+e^{20-2 x} (-5 x^2+2 x^3+2 x^4))+(e^{20-x} (2 x^2+x^3)+e^{10-x} (-10+5 x-7 x^2-8 x^3-x^4)) \log (2+x)}{50-75 x-20 x^2+35 x^3+12 x^4+x^5+e^{20} (2 x^2+x^3)+e^{10} (20 x-10 x^2-14 x^3-2 x^4)} \, dx\) [10296]
   \(\int \genfrac {}{}{}{}{2 \log (4)-\log (4) \log (x)}{x^2} \, dx\) [10297]
   \(\int \genfrac {}{}{}{}{e^{2 x} (18+4 x-4 x^2+(3-2 x) \log (3)+2 \log (5))}{81-36 x^2+4 x^4+(18-18 x-4 x^2+4 x^3) \log (3)+(1-2 x+x^2) \log ^2(3)+(18-4 x^2+(2-2 x) \log (3)) \log (5)+\log ^2(5)} \, dx\) [10298]
   \(\int \genfrac {}{}{}{}{e^x (1-x)-x^2+20 x^3+2 e^{e^{x^2}+x^2} x^3+12 x^4}{x^2} \, dx\) [10299]
   \(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{80-8 x+16 x^2+(4+8 x) \log (5)}{x+2 x^2}} (-80-320 x+32 x^2+(-4-16 x-16 x^2) \log (5))}{x^2+4 x^3+4 x^4} \, dx\) [10300]