3.33 Integrals 3201 to 3300

   \(\int \genfrac {}{}{}{}{-16-4 e^2+e (-16-8 x)-16 x-4 x^2+e^2 (10 x^2+2 e^2 x^2+8 x^3+2 x^4+e (9 x^2+4 x^3))+e^{2+x^2} (8 x^3+2 e^2 x^3+8 x^4+2 x^5+e (8 x^3+4 x^4))}{e^2 (4 x^2+e^2 x^2+4 x^3+x^4+e (4 x^2+2 x^3))} \, dx\) [3201]
   \(\int \genfrac {}{}{}{}{16+8 x+e^{5 x^2} (4+4 x-40 x^2-40 x^3)+(4+4 x) \log (\genfrac {}{}{}{}{1+2 x+x^2}{9 x^4})}{e^{10 x^2} (1+x)+e^{5 x^2} (2+2 x) \log (\genfrac {}{}{}{}{1+2 x+x^2}{9 x^4})+(1+x) \log ^2(\genfrac {}{}{}{}{1+2 x+x^2}{9 x^4})} \, dx\) [3202]
   \(\int 4 e^{\genfrac {}{}{}{}{1}{18} (-e^3-e^5)} \, dx\) [3203]
   \(\int \genfrac {}{}{}{}{e^{-e^x} (2 x^3-e^x x^4+e^{5+e^x+x^2+x \log ^2(x)} (4-8 x^2-8 x \log (x)-4 x \log ^2(x)))}{4 x^2} \, dx\) [3204]
   \(\int \genfrac {}{}{}{}{e^{-4+e^x} (16-16 x)+e^{-4+e^x} (e^x (16 x-16 x^2)+4 e^x x \log (-x^4)) \log (4-4 x+\log (-x^4))}{4 x-4 x^2+x \log (-x^4)} \, dx\) [3205]
   \(\int 3 e^{-18+3 x} \, dx\) [3206]
   \(\int \genfrac {}{}{}{}{e (3+3 x)}{25 e^3 x^2+10 e^4 x^2 \log (\genfrac {}{}{}{}{8 e^{\genfrac {}{}{}{}{1}{x}}}{x})+e^5 x^2 \log ^2(\genfrac {}{}{}{}{8 e^{\genfrac {}{}{}{}{1}{x}}}{x})} \, dx\) [3207]
   \(\int \genfrac {}{}{}{}{4 x^2+e^{\genfrac {}{}{}{}{-4 e^4-8 x+5 x^2}{4 x}} (-12 e^4-15 x^2)}{12 x^2} \, dx\) [3208]
   \(\int e^{4 x} (10 x+17 x^2-4 x^3) \log ^2(3) \, dx\) [3209]
   \(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{3-27 x+e^{19/5} x}{-22+e^{19/5}}} (-27+e^{19/5})}{-22+e^{19/5}} \, dx\) [3210]
   \(\int \genfrac {}{}{}{}{e^{e^x x^2} (-1+e^x x^2 (2+x))+4 x^2 \log (\log (5))}{4 x^2 \log (\log (5))} \, dx\) [3211]
   \(\int \genfrac {}{}{}{}{64+e^{\genfrac {}{}{}{}{x^4}{256}} x^4}{32 x} \, dx\) [3212]
   \(\int (12+2 e^x-192 x) \, dx\) [3213]
   \(\int \genfrac {}{}{}{}{5+5 e^3 x+e^{36 e^4-24 e^2 x+4 x^2} (x+x^2-24 e^2 x^2+8 x^3)+5 x \log (x)}{5 e^3 x+e^{36 e^4-24 e^2 x+4 x^2} x^2+5 x \log (x)} \, dx\) [3214]
   \(\int \genfrac {}{}{}{}{5+5 x+5 x^2+5 x^3+(10 x-10 x^2) \log (x)}{(x+3 x^2+3 x^3+x^4) \log ^2(x)} \, dx\) [3215]
   \(\int \genfrac {}{}{}{}{e^5 (-4 x+2 x^2)}{45-90 x-135 x^2+180 x^3+180 x^4} \, dx\) [3216]
   \(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{23 x+\log (4)}{e^2-x}} (-2 e^4 x+27 e^2 x^2-2 x^3+x^2 \log (4))}{e^4 x^4-2 e^2 x^5+x^6+e^{\genfrac {}{}{}{}{2 (23 x+\log (4))}{e^2-x}} (e^4-2 e^2 x+x^2)+e^{\genfrac {}{}{}{}{23 x+\log (4)}{e^2-x}} (-2 e^4 x^2+4 e^2 x^3-2 x^4)} \, dx\) [3217]
   \(\int \genfrac {}{}{}{}{4 \log (\genfrac {}{}{}{}{1}{x})+4 \log (\genfrac {}{}{}{}{1}{x}) \log (x)+2 \log (x) \log (e^2 \log (\genfrac {}{}{}{}{1}{x}))+(-\log (\genfrac {}{}{}{}{1}{x})-\log (\genfrac {}{}{}{}{1}{x}) \log (x)) \log ^2(e^2 \log (\genfrac {}{}{}{}{1}{x}))+(-4 \log (\genfrac {}{}{}{}{1}{x}) \log (x)+\log (\genfrac {}{}{}{}{1}{x}) \log (x) \log ^2(e^2 \log (\genfrac {}{}{}{}{1}{x}))) \log (4 x \log (x)-x \log (x) \log ^2(e^2 \log (\genfrac {}{}{}{}{1}{x})))}{(-4 \log (\genfrac {}{}{}{}{1}{x}) \log (x)+\log (\genfrac {}{}{}{}{1}{x}) \log (x) \log ^2(e^2 \log (\genfrac {}{}{}{}{1}{x}))) \log ^2(4 x \log (x)-x \log (x) \log ^2(e^2 \log (\genfrac {}{}{}{}{1}{x})))} \, dx\) [3218]
   \(\int \genfrac {}{}{}{}{7 e^4+e^{2 x} (6+12 x)+e^{2+x} (12+12 x)}{6 e^{2 x} x+12 e^{2+x} x+e^4 (22+7 x)} \, dx\) [3219]
   \(\int \genfrac {}{}{}{}{-5 e^x x^2 \log (5)+(-24-5 x^2) \log (5)+20 \log (5) \log (x)}{x^2+5 e^x x^2 \log (5)+(-4 x+15 x^2+5 x^3) \log (5)+20 x \log (5) \log (x)} \, dx\) [3220]
   \(\int \genfrac {}{}{}{}{4-2 x^2-2 e^x x^2+(2+e^x x+x^2) \log (\genfrac {}{}{}{}{8+4 e^x x+4 x^2}{x})+(-2-e^x x-x^2+e^{2+x} (-2-e^x x-x^2)) \log ^3(\genfrac {}{}{}{}{8+4 e^x x+4 x^2}{x})}{(2+e^x x+x^2) \log ^3(\genfrac {}{}{}{}{8+4 e^x x+4 x^2}{x})} \, dx\) [3221]
   \(\int \genfrac {}{}{}{}{-25-10 x-x^2+25 x^3+10 x^4+x^5+e^2 (-5-15 x^2+5 x^3)+(10+2 x-10 x^3-2 x^4) \log (-2+2 x^3)+(-1+x^3) \log ^2(-2+2 x^3)}{-25-10 x-x^2+25 x^3+10 x^4+x^5+(10+2 x-10 x^3-2 x^4) \log (-2+2 x^3)+(-1+x^3) \log ^2(-2+2 x^3)} \, dx\) [3222]
   \(\int \genfrac {}{}{}{}{1+x}{e^{10} x^3+2 e^{10} x^2 \log (x)+e^{10} x \log ^2(x)} \, dx\) [3223]
   \(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{2 (121 x^2+36 e^4 x^2+36 e^8 x^2+22 x^3+x^4+e^2 (-132 x^2-12 x^3)+e^4 (132 x^2-72 e^2 x^2+12 x^3))}{4-8 x+4 x^2+e^2 (-4+8 x-4 x^2)+e^4 (1-2 x+x^2)+e^8 (1-2 x+x^2)+e^4 (4-8 x+4 x^2+e^2 (-2+4 x-2 x^2))}} (-484 x-144 e^4 x-144 e^8 x-132 x^2+36 x^3+4 x^4+e^2 (528 x+72 x^2-24 x^3)+e^4 (-528 x+288 e^2 x-72 x^2+24 x^3))}{-4+12 x-12 x^2+4 x^3+e^2 (4-12 x+12 x^2-4 x^3)+e^4 (-1+3 x-3 x^2+x^3)+e^8 (-1+3 x-3 x^2+x^3)+e^4 (-4+12 x-12 x^2+4 x^3+e^2 (2-6 x+6 x^2-2 x^3))} \, dx\) [3224]
   \(\int \genfrac {}{}{}{}{e^{-2-2 x^2} (-6-8 x^2+e^{6-x^2} (-30-20 x^2))}{x^4+25 e^{12-2 x^2} x^4+10 e^{6-x^2} x^4} \, dx\) [3225]
   \(\int \genfrac {}{}{}{}{-20+22 \log ^2(4)+(4-2 \log ^2(4)) \log (4+\log (5))}{-2+\log ^2(4)} \, dx\) [3226]
   \(\int \genfrac {}{}{}{}{32768-8192 x^2+1536 x^3-128 x^4-128 x^5+16 x^6-2 x^7+\genfrac {}{}{}{}{e^{25+\log ^2(2)} (2048-1536 x+384 x^2-64 x^3)}{1024}}{-16384 x^3-4096 x^4+3072 x^5+768 x^6-192 x^7-48 x^8+4 x^9+x^{10}+\genfrac {}{}{}{}{e^{50+2 \log ^2(2)} (-64 x^3+48 x^4-12 x^5+x^6)}{1048576}+\genfrac {}{}{}{}{e^{25+\log ^2(2)} (-2048 x^3+512 x^4+256 x^5-64 x^6-8 x^7+2 x^8)}{1024}} \, dx\) [3227]
   \(\int \genfrac {}{}{}{}{-2 x-e^5 x-x^2+e^x (-6 e^5 x^3-6 x^4)+e^{2 x} (-6 e^5 x^3-6 x^4)+(e^5+x+e^x (-18 e^5 x^2-18 x^3)+e^{2 x} (-18 e^5 x^2-18 x^3)) \log (e^5+x)+(e^x (-18 e^5 x-18 x^2)+e^{2 x} (-18 e^5 x-18 x^2)) \log ^2(e^5+x)+(e^x (-6 e^5-6 x)+e^{2 x} (-6 e^5-6 x)) \log ^3(e^5+x)}{e^5 x^3+x^4+(3 e^5 x^2+3 x^3) \log (e^5+x)+(3 e^5 x+3 x^2) \log ^2(e^5+x)+(e^5+x) \log ^3(e^5+x)} \, dx\) [3228]
   \(\int \genfrac {}{}{}{}{e^{4+x+x^2}+5 x-5 x^2-10 x^3+(2 e^{4+x+x^2}+10 x-5 x^2-10 x^3) \log (x)+e^{4+x+x^2} \log ^2(x)}{e^{4+x+x^2}+2 e^{4+x+x^2} \log (x)+e^{4+x+x^2} \log ^2(x)} \, dx\) [3229]
   \(\int \genfrac {}{}{}{}{3590-5760 x+3264 x^2-768 x^3+64 x^4+(-3600+3264 x^2-1536 x^3+192 x^4) \log (x)}{x^2} \, dx\) [3230]
   \(\int \genfrac {}{}{}{}{1}{\log (5)} \, dx\) [3231]
   \(\int \genfrac {}{}{}{}{4 e^{\genfrac {}{}{}{}{4+4 e^3}{e^3}}+4 x^2+4 \log (4)}{e^{\genfrac {}{}{}{}{2 (4+4 e^3)}{e^3}}-2 x^3+x^4+(2 x-2 x^2) \log (4)+\log ^2(4)+e^{\genfrac {}{}{}{}{4+4 e^3}{e^3}} (2 x-2 x^2+2 \log (4))} \, dx\) [3232]
   \(\int \genfrac {}{}{}{}{e^x (1+(1-x) \log (5))+e^x (1-x) \log (x)}{-e^x x \log (5)+x^2 \log ^2(5)+(-e^x x+2 x^2 \log (5)) \log (x)+x^2 \log ^2(x)} \, dx\) [3233]
   \(\int \genfrac {}{}{}{}{-6+8 x+(-16 x-8 x^2) \log (\genfrac {}{}{}{}{1}{4} (-3+4 x))+(6-8 x) \log ^2(\genfrac {}{}{}{}{1}{4} (-3+4 x))}{-3 x^2+4 x^3+(6 x^2-8 x^3) \log ^2(\genfrac {}{}{}{}{1}{4} (-3+4 x))+(-3 x^2+4 x^3) \log ^4(\genfrac {}{}{}{}{1}{4} (-3+4 x))} \, dx\) [3234]
   \(\int \genfrac {}{}{}{}{10+20 x+75 x^2-40 x^3+e^2 (5+10 x+75 x^2-20 x^3)+e^x (2+6 x+17 x^2-3 x^3-2 x^4+e^2 (1+3 x+16 x^2+x^3-x^4))}{2+e^2} \, dx\) [3235]
   \(\int \genfrac {}{}{}{}{-4050+(-180-90 x) \log ^2(2)+(48+88 x+60 x^2+18 x^3+2 x^4) \log ^4(2)}{(8+12 x+6 x^2+x^3) \log ^4(2)} \, dx\) [3236]
   \(\int \genfrac {}{}{}{}{-72-24 x-5 x^2-x^3+(6+2 x) \log (2)+(72+12 x+(-6-x) \log (2)) \log (6+x)}{6 x^2+x^3} \, dx\) [3237]
   \(\int \genfrac {}{}{}{}{1+2 x+2 x^2-4 e^{2 x^2} x^2-2 \log (x)}{x} \, dx\) [3238]
   \(\int \genfrac {}{}{}{}{9 x^2-15 x^3+9 x^4+(-6 x+13 x^2-9 x^3) \log (\genfrac {}{}{}{}{x^3}{-1+x})+(-2 x+2 x^2) \log ^2(\genfrac {}{}{}{}{x^3}{-1+x})}{(-2+2 x) \log ^2(5)} \, dx\) [3239]
   \(\int \genfrac {}{}{}{}{1}{2} (-3 e^{3 x}+e^x (2+x+\log (2))) \, dx\) [3240]
   \(\int (10-18 x-45 x^2-12 x^3+15 x^4+3 \log (\genfrac {}{}{}{}{5}{4})) \, dx\) [3241]
   \(\int \genfrac {}{}{}{}{-1260 x+143 x^2-4 x^3}{648-72 x+2 x^2} \, dx\) [3242]
   \(\int \genfrac {}{}{}{}{x^2-2 x^3+6 e^{3 x} x^3+e^{5 x} (-2+5 x)+e^x (2 x^4+x^5)}{x^3} \, dx\) [3243]
   \(\int -\genfrac {}{}{}{}{2}{5 x \log (2) \log ^2(4 x^2)} \, dx\) [3244]
   \(\int \genfrac {}{}{}{}{3 x^4+e^{\genfrac {}{}{}{}{9+6 x^2+x^4}{x^3}} (-27-27 x-6 x^2-6 x^3+x^5)}{x^4+2 x^5+x^6} \, dx\) [3245]
   \(\int \genfrac {}{}{}{}{1}{3} (8+6 x-27 x^2) \, dx\) [3246]
   \(\int \genfrac {}{}{}{}{1-36 x-3 x^2+e^x (-18-18 x-3 x^2)}{36+12 x+x^2+e (36+12 x+x^2)} \, dx\) [3247]
   \(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{-12+4 x+(-5 x^2-5 e^x x^2-10 x^3) \log (e^{-x} x)}{-3+x}} (15 x+10 x^2-35 x^3+10 x^4+e^x (15 x-20 x^2+5 x^3)+(30 x+85 x^2-20 x^3+e^x (30 x+10 x^2-5 x^3)) \log (e^{-x} x))}{9-6 x+x^2} \, dx\) [3248]
   \(\int \genfrac {}{}{}{}{265 x+512 x^2+e^{-2+x} (-256 x-256 x^2)+(-9-512 x+e^{-2+x} (256+256 x)) \log (4 e^{2 x})+(-256 x+256 \log (4 e^{2 x})) \log (-x+\log (4 e^{2 x}))}{-256 x+256 \log (4 e^{2 x})} \, dx\) [3249]
   \(\int \genfrac {}{}{}{}{e^{5+x} (-9+24 x-16 x^2)+e^5 (9-24 x+16 x^2)+12 e^4 \log (2)}{e^5 (9-24 x+16 x^2)} \, dx\) [3250]
   \(\int \genfrac {}{}{}{}{-4+6 x-2 x^2+(2 x-x^2+x \log (x)) \log (24-12 x+12 \log (x))+(-4+4 x-x^2+(-2+x) \log (x)) \log (24-12 x+12 \log (x)) \log (\genfrac {}{}{}{}{1}{(-8+4 x) \log ^2(24-12 x+12 \log (x))})}{(-20 x^2+20 x^3-5 x^4+(-10 x^2+5 x^3) \log (x)) \log (24-12 x+12 \log (x))+(-40 x+40 x^2-10 x^3+(-20 x+10 x^2) \log (x)) \log (24-12 x+12 \log (x)) \log (\genfrac {}{}{}{}{1}{(-8+4 x) \log ^2(24-12 x+12 \log (x))})+(-20+20 x-5 x^2+(-10+5 x) \log (x)) \log (24-12 x+12 \log (x)) \log ^2(\genfrac {}{}{}{}{1}{(-8+4 x) \log ^2(24-12 x+12 \log (x))})} \, dx\) [3251]
   \(\int \genfrac {}{}{}{}{9 x^3+e^{\genfrac {}{}{}{}{2+x+2 x^2}{x}} (-2-x+2 x^2)+e^{\genfrac {}{}{}{}{2+x+2 x^2}{2 x}} (-6 x+6 x^3)}{4 x^3} \, dx\) [3252]
   \(\int \genfrac {}{}{}{}{-12-4 \log (x)+(3+\log (x))^x (-4+(-12-4 \log (x)) \log (3+\log (x)))}{3+3 x+(1+x) \log (x)+(3+\log (x))^{1+x}} \, dx\) [3253]
   \(\int \genfrac {}{}{}{}{1}{x} \, dx\) [3254]
   \(\int \genfrac {}{}{}{}{-1968+1760 x-560 x^2+1280 x^4-512 x^5+(-656+1024 x-1136 x^2+1024 x^3-256 x^4) \log (\log (4))}{75645 x^2-67650 x^3+34805 x^4+10880 x^5-7520 x^6+2560 x^7+1280 x^8+(50430 x^2-61910 x^3+43840 x^4-7360 x^5-2560 x^6+2560 x^7) \log (\log (4))+(8405 x^2-13120 x^3+11680 x^4-5120 x^5+1280 x^6) \log ^2(\log (4))} \, dx\) [3255]
   \(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{x}{4+e^2}} \log (2)+(-4-e^2) \log (2)+(e^{\genfrac {}{}{}{}{x}{4+e^2}} (8+2 e^2)-8 x-2 e^2 x) \log ^2(e^{\genfrac {}{}{}{}{x}{4+e^2}}-x)}{(e^{\genfrac {}{}{}{}{x}{4+e^2}} (4+e^2)-4 x-e^2 x) \log ^2(e^{\genfrac {}{}{}{}{x}{4+e^2}}-x)} \, dx\) [3256]
   \(\int \genfrac {}{}{}{}{-11520+13248 x-1335 x^2-186 x^3-3 x^4+(81 x^2-144 x^3+82 x^4-16 x^5+x^6) \log (3)+(-6144+2880 x+204 x^2+(108 x^2-132 x^3+44 x^4-4 x^5) \log (3)) \log (x)+(-768+3 x^2+(54 x^2-40 x^3+6 x^4) \log (3)) \log ^2(x)+(12 x^2-4 x^3) \log (3) \log ^3(x)+x^2 \log (3) \log ^4(x)}{(81 x^2-144 x^3+82 x^4-16 x^5+x^6) \log (3)+(108 x^2-132 x^3+44 x^4-4 x^5) \log (3) \log (x)+(54 x^2-40 x^3+6 x^4) \log (3) \log ^2(x)+(12 x^2-4 x^3) \log (3) \log ^3(x)+x^2 \log (3) \log ^4(x)} \, dx\) [3257]
   \(\int \genfrac {}{}{}{}{(5-2 x) \log (x)+(-5+x) \log (-5 x+x^2)+(5 x-x^2+(-5 x+x^2) \log (x)) \log ^2(-5 x+x^2)+(-5 x+x^2+(-5 x+x^2) \log (x)) \log (x^2) \log ^2(-5 x+x^2)}{(-5 x+x^2) \log ^2(-5 x+x^2)} \, dx\) [3258]
   \(\int (-1+e^{e^4}-8 x) \, dx\) [3259]
   \(\int \genfrac {}{}{}{}{-85-80 x+(10+100 x) \log (x)+25 \log ^2(x)}{x+10 x \log (x)+25 x \log ^2(x)} \, dx\) [3260]
   \(\int \genfrac {}{}{}{}{3 e^{-x} x (9 x^2-9 x^3+e^{3 x} (-4+14 x-6 x^2)+e^{2 x} (16-46 x+42 x^2-9 x^3)+e^x (24 x-42 x^2+18 x^3))}{e^{4 x} x+9 x^3+e^{3 x} (-8 x+6 x^2)+e^x (24 x^2-18 x^3)+e^{2 x} (16 x-30 x^2+9 x^3)} \, dx\) [3261]
   \(\int e^{2+x-8 e^x x} (-8-8 x) \, dx\) [3262]
   \(\int \genfrac {}{}{}{}{e^{-1+12 x} (4-48 x)-x^2}{16 e^{-2+24 x}+8 e^{-1+12 x} x^2+x^4} \, dx\) [3263]
   \(\int \genfrac {}{}{}{}{(6-3 x) \log (-4+2 x)+(2-4 x+2 x^2) \log (\log (-4+2 x))}{(-6+15 x-12 x^2+3 x^3) \log (-4+2 x)} \, dx\) [3264]
   \(\int \genfrac {}{}{}{}{(-1-240 x-240 e^{16} x) \log (5 e^3)}{x^2+240 x^3+14400 x^4+14400 e^{32} x^4+e^{16} (240 x^3+28800 x^4)} \, dx\) [3265]
   \(\int \genfrac {}{}{}{}{1}{4} e^{-3+x} (-25-5 x+10 \log (4)) \, dx\) [3266]
   \(\int (-6 x+1156 e^{289 x^4} x^3) \, dx\) [3267]
   \(\int \genfrac {}{}{}{}{e^{-x} (3+(-9-3 x) \log (x))}{x^4} \, dx\) [3268]
   \(\int \genfrac {}{}{}{}{-36 x-72 x^2+72 x \log (x)}{196 x^2-196 x \log (x)+49 \log ^2(x)} \, dx\) [3269]
   \(\int \genfrac {}{}{}{}{(-12+2 x) \log (3)+\log (4)}{\log (4)} \, dx\) [3270]
   \(\int e^{-2 x-4 e^{e^x} x} (1+e^{2 x+4 e^{e^x} x}-2 x+e^{e^x} (-4 x-4 e^x x^2)) \, dx\) [3271]
   \(\int \genfrac {}{}{}{}{12 x^2+e^x (-60 x-48 x^2+12 x^3+e^{4/x} (-240-12 x+12 x^2))+(-60 x+12 x^2+e^{4/x} (-240-12 x+12 x^2)) \log (5-x)+(e^x (60 x-12 x^2)+(60 x-12 x^2) \log (5-x)) \log (e^x+\log (5-x))}{e^x (-5 x+x^2+e^{8/x} (-5 x+x^2)+e^{4/x} (-10 x+2 x^2))+(-5 x+x^2+e^{8/x} (-5 x+x^2)+e^{4/x} (-10 x+2 x^2)) \log (5-x)+(e^x (10 x-2 x^2+e^{4/x} (10 x-2 x^2))+(10 x-2 x^2+e^{4/x} (10 x-2 x^2)) \log (5-x)) \log (e^x+\log (5-x))+(e^x (-5 x+x^2)+(-5 x+x^2) \log (5-x)) \log ^2(e^x+\log (5-x))} \, dx\) [3272]
   \(\int \genfrac {}{}{}{}{8-240 x^2+7800 x^4-64000 x^6+390625 x^9+1600000 x^{10}-4875000 x^{12}+3750000 x^{14}-3125000 x^{16}}{390625 x^9} \, dx\) [3273]
   \(\int \genfrac {}{}{}{}{-10-10 x+(-10-10 x) \log (x)-10 x \log ^2(x)+e^{3 e^{-e^5}} (-20-20 x+(-20-20 x) \log (x)-20 x \log ^2(x))+e^{6 e^{-e^5}} (-10-10 x+(-10-10 x) \log (x)-10 x \log ^2(x))}{36+12 x^2+x^4+(24 x+4 x^3) \log (x)+(16 x^2+2 x^4) \log ^2(x)+4 x^3 \log ^3(x)+x^4 \log ^4(x)+e^{6 e^{-e^5}} (1+2 x^2+x^4+(4 x+4 x^3) \log (x)+(6 x^2+2 x^4) \log ^2(x)+4 x^3 \log ^3(x)+x^4 \log ^4(x))+e^{3 e^{-e^5}} (12+14 x^2+2 x^4+(28 x+8 x^3) \log (x)+(22 x^2+4 x^4) \log ^2(x)+8 x^3 \log ^3(x)+2 x^4 \log ^4(x))} \, dx\) [3274]
   \(\int \genfrac {}{}{}{}{e^4 (x^3+x^4)+e^{4+x^2} (2 x^2+2 x^3-2 x^4-2 x^5)+(e^{4+x^2} (1+x)+e^4 (x+x^2)) \log (1+x)+\log (3 x) (e^{4+x^2} x+e^4 x^2+(e^4 (-x-x^2)+e^{4+x^2} (-2 x^2-2 x^3)) \log (1+x))}{x^3+x^4+e^{2 x^2} (x+x^2)+e^{x^2} (2 x^2+2 x^3)} \, dx\) [3275]
   \(\int \genfrac {}{}{}{}{-3125-250 x-5 x^2+e^{3/x} (-1125+705 x+15 x^2)}{625+50 x+x^2} \, dx\) [3276]
   \(\int \genfrac {}{}{}{}{-140+88 x^2-16 x^3-12 x^4+(-40 x+8 x^3) \log (e^{7/x} (25-10 x^2+x^4))}{-45 x^2-30 x^3+4 x^4+6 x^5+x^6+(30 x+10 x^2-6 x^3-2 x^4) \log (e^{7/x} (25-10 x^2+x^4))+(-5+x^2) \log ^2(e^{7/x} (25-10 x^2+x^4))} \, dx\) [3277]
   \(\int \genfrac {}{}{}{}{e^x x^3+e^{\genfrac {}{}{}{}{i \pi -\log (\genfrac {}{}{}{}{16}{3})}{x}} (i \pi +x-\log (\genfrac {}{}{}{}{16}{3}))}{x^3} \, dx\) [3278]
   \(\int \genfrac {}{}{}{}{2 x-48 x^3+e (1-48 x^2)+e^{10+2 x} (1+2 x-48 x^2)}{e x+e^{10+2 x} x+x^2} \, dx\) [3279]
   \(\int \genfrac {}{}{}{}{e^{5 x} (-396+4 e^3+80 x-4 x^2)+e^{4 x} (-1584 x+1904 x^2-336 x^3+16 x^4+e^3 (16 x-16 x^2))+e^{3 x} (-48-2376 x^2+5232 x^3-3360 x^4+528 x^5-24 x^6+e^3 (24 x^2-48 x^3+24 x^4))+e^{2 x} (-32+64 x^2-1584 x^3+5072 x^4-5728 x^5+2592 x^6-368 x^7+16 x^8+e^3 (16 x^3-48 x^4+48 x^5-16 x^6))+e^x (-32 x+80 x^2-32 x^3-412 x^4+1664 x^5-2700 x^6+2080 x^7-740 x^8+96 x^9-4 x^{10}+e^3 (4 x^4-16 x^5+24 x^6-16 x^7+4 x^8))}{16+648 x^2-1440 x^3+7505 x^4-29320 x^5+51524 x^6-45720 x^7+21286 x^8-5080 x^9+636 x^{10}-40 x^{11}+x^{12}+e^6 (x^4-4 x^5+6 x^6-4 x^7+x^8)+e^3 (-8 x^2+16 x^3-170 x^4+684 x^5-1118 x^6+872 x^7-318 x^8+44 x^9-2 x^{10})+e^{4 x} (6561+e^6-2916 x+486 x^2-36 x^3+x^4+e^3 (-162+36 x-2 x^2))+e^{3 x} (26244 x-37908 x^2+13608 x^3-2088 x^4+148 x^5-4 x^6+e^6 (4 x-4 x^2)+e^3 (-648 x+792 x^2-152 x^3+8 x^4))+e^{2 x} (648-144 x+39374 x^2-96228 x^3+77274 x^4-23544 x^5+3354 x^6-228 x^7+6 x^8+e^6 (6 x^2-12 x^3+6 x^4)+e^3 (-8-972 x^2+2160 x^3-1416 x^4+240 x^5-12 x^6))+e^x (1296 x-1584 x^2+26548 x^3-90412 x^4+115668 x^5-67212 x^6+17932 x^7-2388 x^8+156 x^9-4 x^{10}+e^6 (4 x^3-12 x^4+12 x^5-4 x^6)+e^3 (-16 x+16 x^2-648 x^3+2088 x^4-2384 x^5+1104 x^6-168 x^7+8 x^8))} \, dx\) [3280]
   \(\int \genfrac {}{}{}{}{e^{3/x} (-3+x)-17 x+6 x^2+e^x (-12 x-12 x^2)+e^{2 x} (-2 x-4 x^2)}{x} \, dx\) [3281]
   \(\int \genfrac {}{}{}{}{-405-774 x+36 e^2 x-432 x^2-60 x^3+9 x^4+2 x^5}{450-60 x^2+2 x^4} \, dx\) [3282]
   \(\int \genfrac {}{}{}{}{20+24 x^2+16 x^3-4 x^4+(-2 x^2-8 x^3+2 x^4+(-10-40 x+10 x^2) \log (\genfrac {}{}{}{}{25 x^2}{4+32 x+56 x^2-32 x^3+4 x^4})) \log (\genfrac {}{}{}{}{1}{5} (x^2+5 \log (\genfrac {}{}{}{}{25 x^2}{4+32 x+56 x^2-32 x^3+4 x^4})))}{(-x^2-4 x^3+x^4+(-5-20 x+5 x^2) \log (\genfrac {}{}{}{}{25 x^2}{4+32 x+56 x^2-32 x^3+4 x^4})) \log ^2(\genfrac {}{}{}{}{1}{5} (x^2+5 \log (\genfrac {}{}{}{}{25 x^2}{4+32 x+56 x^2-32 x^3+4 x^4})))} \, dx\) [3283]
   \(\int \genfrac {}{}{}{}{-e^{\genfrac {}{}{}{}{4}{x^4}} x^5+e^{\genfrac {}{}{}{}{4}{x^4}} (-48-16 x) \log (6+2 x) \log (\log (6+2 x))}{(3 x^5+x^6) \log (6+2 x) \log ^2(\log (6+2 x))} \, dx\) [3284]
   \(\int \genfrac {}{}{}{}{1}{2} (-4+e^{e^3-x}+8 e^x) \, dx\) [3285]
   \(\int \genfrac {}{}{}{}{e^{e^{-2 x} x} (2+e^{3 x} (2-2 e^2)+e^{2 x} (-2+2 e^2)-3 x-2 x^2+e^x (-1+e^2 (1-2 x)+2 x)+e^2 (-x+2 x^2))}{e^{5 x} (-1+3 e^2-3 e^4+e^6)+e^{4 x} (6+e^2 (-12-9 x)+3 x-3 e^6 x+e^4 (6+9 x))+e^{3 x} (-12-12 x-3 x^2+3 e^6 x^2+e^4 (-12 x-9 x^2)+e^2 (12+24 x+9 x^2))+e^{2 x} (8+12 x+6 x^2+x^3-e^6 x^3+e^2 (-12 x-12 x^2-3 x^3)+e^4 (6 x^2+3 x^3))} \, dx\) [3286]
   \(\int \genfrac {}{}{}{}{e^{-x} (12-12 e^x-x+x^2+e^3 (13 x-3 x^2+x^3)+(1+e^3 x) \log (3)+(-13 x+3 x^2-x^3-x \log (3)) \log (x))}{4 x} \, dx\) [3287]
   \(\int \genfrac {}{}{}{}{25-7 x-18 x^2-27 x^3+18 x^4}{-9 x^2+9 x^3} \, dx\) [3288]
   \(\int \genfrac {}{}{}{}{e^{-x} (36+36 x-19 x^2+10 e^x x^2+x^3)}{5 x^2} \, dx\) [3289]
   \(\int \genfrac {}{}{}{}{4-x-x^2+\log (3)+e^x (4-6 x+x^2+(1-x) \log (3))+(-4+2 x-\log (3)) \log (x)}{32 x^2-16 x^3+2 x^4+(16 x^2-4 x^3) \log (3)+2 x^2 \log ^2(3)} \, dx\) [3290]
   \(\int \genfrac {}{}{}{}{1}{2} e^{2 x} (5+2 x+2 \log (2)) \, dx\) [3291]
   \(\int \genfrac {}{}{}{}{-92 e-56 e \log (\genfrac {}{}{}{}{x}{15})-8 e \log ^2(\genfrac {}{}{}{}{x}{15})}{16 x^3+8 x^3 \log (\genfrac {}{}{}{}{x}{15})+x^3 \log ^2(\genfrac {}{}{}{}{x}{15})} \, dx\) [3292]
   \(\int \genfrac {}{}{}{}{1-5 x}{x} \, dx\) [3293]
   \(\int \genfrac {}{}{}{}{x^2+e^{-e^{-4+4 x}+x^2} (4+16 e^{-4+4 x} x-8 x^2)}{x^2} \, dx\) [3294]
   \(\int \genfrac {}{}{}{}{(e^{2/x} (40-20 x)-10 x+(-2 x-4 e^{2/x} x) \log (\genfrac {}{}{}{}{x}{(x+2 e^{2/x} x)^5})) \log (\genfrac {}{}{}{}{1+\log (\genfrac {}{}{}{}{x}{(x+2 e^{2/x} x)^5})}{x})}{x^2+2 e^{2/x} x^2+(x^2+2 e^{2/x} x^2) \log (\genfrac {}{}{}{}{x}{(x+2 e^{2/x} x)^5})} \, dx\) [3295]
   \(\int \genfrac {}{}{}{}{2 e^{3 x} x-144 e^{2 x} x^2+(e^{2 x} (-432 x^2+216 x^3)+e^x (10368 x^3-1728 x^4)) \log (x)+e^x (20736 x^3-17280 x^4+2592 x^5) \log ^2(x)+(-20736 x^6+3456 x^7) \log ^3(x)}{e^{3 x}+36 e^{2 x} x^2 \log (x)+432 e^x x^4 \log ^2(x)+1728 x^6 \log ^3(x)} \, dx\) [3296]
   \(\int \genfrac {}{}{}{}{2}{x} \, dx\) [3297]
   \(\int \genfrac {}{}{}{}{-5+12 x+12 x^2-4 x^3+e^{4+x} (-20 x-4 x^2+2 x^3)}{e^4} \, dx\) [3298]
   \(\int \genfrac {}{}{}{}{-16 e^x x-16 e^x \log (x)+(e^x (-8-4 x+4 x^2)+e^x (4+4 x) \log (x)) \log (9 x^2)}{(x^3+3 x^2 \log (x)+3 x \log ^2(x)+\log ^3(x)) \log ^3(9 x^2)} \, dx\) [3299]
   \(\int e^{-2-e^5+e^x+x} (1+e^x) \, dx\) [3300]