3.6.1 \(\int \genfrac {}{}{}{}{12-54 x^2+12 x^2 \log (3 x)}{x} \, dx\) [501]
3.6.2 \(\int \genfrac {}{}{}{}{-25-25 e^{\genfrac {}{}{}{}{6}{e^{20}}}-26 x^2}{25 x+25 e^{\genfrac {}{}{}{}{6}{e^{20}}} x-26 x^3} \, dx\) [502]
3.6.3 \(\int \genfrac {}{}{}{}{27+9 e^x}{89+9 e^x+27 x} \, dx\) [503]
3.6.4 \(\int \genfrac {}{}{}{}{e^{-x} (-5600+525 x+20500 x^5-750 x^6-12500 x^{10})}{3675-630 x+27 x^2-10500 x^5+900 x^6+7500 x^{10}} \, dx\) [504]
3.6.5 \(\int \genfrac {}{}{}{}{-x+30 x^3-6 x^4+(10-2 x-30 x^3+6 x^4) \log (5-x)+(15 x^3-3 x^4) \log ^2(5-x)}{(-15 x^3+3 x^4) \log ^2(5-x)} \, dx\) [505]
3.6.6 \(\int 8 e^{8+2 x} \, dx\) [506]
3.6.7 \(\int \genfrac {}{}{}{}{e^5+2 x^2+4 x^2 \log (\log (5))}{2 x^2+4 x^2 \log (\log (5))} \, dx\) [507]
3.6.8 \(\int \genfrac {}{}{}{}{x+2 x^2+e^{\genfrac {}{}{}{}{-5+e x}{x}} (5+x)}{x} \, dx\) [508]
3.6.9 \(\int \genfrac {}{}{}{}{-50-120 x-212 x^2-136 x^3-48 x^4-4 x^5+e^3 (-50 x-40 x^2-4 x^3)+(-50 x-40 x^2-4 x^3) \log (x)}{25 x^3+45 x^4+49 x^5+24 x^6+4 x^7+e^3 (25 x^3+20 x^4+4 x^5)+(25 x^3+20 x^4+4 x^5) \log (x)+(50 x^2+80 x^3+84 x^4+34 x^5+4 x^6+e^3 (50 x^2+30 x^3+4 x^4)+(50 x^2+30 x^3+4 x^4) \log (x)) \log (1+e^3+x+x^2+\log (x))+(25 x+35 x^2+36 x^3+11 x^4+x^5+e^3 (25 x+10 x^2+x^3)+(25 x+10 x^2+x^3) \log (x)) \log ^2(1+e^3+x+x^2+\log (x))} \, dx\) [509]
3.6.10 \(\int (-2+4 e^2-12 x) \, dx\) [510]
3.6.11 \(\int \genfrac {}{}{}{}{3 e^{3+x} x^4-6 e^{2+2 x} x^4+12 x \log (x^2)-6 x \log ^2(x^2)}{144 x^4-24 e^{3+x} x^4+e^{6+2 x} x^4+e^{4+4 x} x^4+e^{2+2 x} (24 x^4-2 e^{3+x} x^4)+(-24 x^2+2 e^{3+x} x^2-2 e^{2+2 x} x^2) \log ^2(x^2)+\log ^4(x^2)} \, dx\) [511]
3.6.12 \(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{1}{4} e^{\genfrac {}{}{}{}{x^2+2 x \log (4)+\log ^2(4)}{\log ^2(\genfrac {}{}{}{}{2 x^2}{5})}}+\genfrac {}{}{}{}{x^2+2 x \log (4)+\log ^2(4)}{\log ^2(\genfrac {}{}{}{}{2 x^2}{5})}} (-6 x^2-12 x \log (4)-6 \log ^2(4)+(3 x^2+3 x \log (4)) \log (\genfrac {}{}{}{}{2 x^2}{5}))}{2 x \log ^3(\genfrac {}{}{}{}{2 x^2}{5})} \, dx\) [512]
3.6.13 \(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{x-e^{2 e^{2 x}} x+16 x^2-x^3+4 x^2 \log (4)}{4+x}} (4+128 x+4 x^2-2 x^3+e^{2 e^{2 x}} (-4+e^{2 x} (-16 x-4 x^2))+(32 x+4 x^2) \log (4))}{16+8 x+x^2} \, dx\) [513]
3.6.14 \(\int \genfrac {}{}{}{}{50-50 x+e^{e^x+3 x} (-12 x^2+12 x^3-3 x^4+e^x (-4 x^2+4 x^3-x^4))}{4 x^2-4 x^3+x^4} \, dx\) [514]
3.6.15 \(\int \genfrac {}{}{}{}{-e^2 x^2+e^{16+2 x} (-5+10 x)}{e^2 x^2} \, dx\) [515]
3.6.16 \(\int \genfrac {}{}{}{}{-10000 e^{2 x} x+\log (2 x)}{5000 x} \, dx\) [516]
3.6.17 \(\int \genfrac {}{}{}{}{-9 e^{\genfrac {}{}{}{}{9-3 x}{x}}+x^2-e^{\genfrac {}{}{}{}{1}{5} (2+5 x)} x^2}{x^2} \, dx\) [517]
3.6.18 \(\int \genfrac {}{}{}{}{-5 x^2-20 x^5-15 x^4 \log ^2(3)+e^{\genfrac {}{}{}{}{16-8 x+2 x^2}{x^2}} (160 x-40 x^2-10 x^3+(160-40 x-5 x^2) \log ^2(3))}{x^4+2 x^7+x^{10}+(2 x^6+2 x^9) \log ^2(3)+x^8 \log ^4(3)+e^{\genfrac {}{}{}{}{2 (16-8 x+2 x^2)}{x^2}} (x^6+2 x^5 \log ^2(3)+x^4 \log ^4(3))+e^{\genfrac {}{}{}{}{16-8 x+2 x^2}{x^2}} (2 x^5+2 x^8+(2 x^4+4 x^7) \log ^2(3)+2 x^6 \log ^4(3))} \, dx\) [518]
3.6.19 \(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{4}{x+\log (x)}} (-4-4 x)-2 x^2-x^3+x^4+(-4 x-4 x^2+2 x^3+2 x^4) \log (x)+(-2-5 x+x^2+4 x^3) \log ^2(x)+(-2+2 x^2) \log ^3(x)}{x^3+2 x^2 \log (x)+x \log ^2(x)} \, dx\) [519]
3.6.20 \(\int \genfrac {}{}{}{}{-8+4 x^2-8 x^2 \log (x)+(-8+4 x^2) \log (-2+x^2)+((4 x-2 x^3) \log (x)+(4 x-2 x^3) \log (x) \log (-2+x^2)) \log ^3(\genfrac {}{}{}{}{1+2 \log (-2+x^2)+\log ^2(-2+x^2)}{\log ^2(x)})}{((-2 x+x^3) \log (x)+(-2 x+x^3) \log (x) \log (-2+x^2)) \log ^3(\genfrac {}{}{}{}{1+2 \log (-2+x^2)+\log ^2(-2+x^2)}{\log ^2(x)})} \, dx\) [520]
3.6.21 \(\int \genfrac {}{}{}{}{150+e (-6-4 x)+100 x+36 x^2+16 x^3}{5625 x^2+3750 x^3+1525 x^4+600 x^5+136 x^6+24 x^7+4 x^8+e^2 (9 x^2+6 x^3+x^4)+e (-450 x^2-300 x^3-86 x^4-24 x^5-4 x^6)} \, dx\) [521]
3.6.22 \(\int \genfrac {}{}{}{}{1}{625} e^{-2 x} (-920-200 e^2+258 x+1250 e^{2 x} x-18 x^2+e (-860+120 x)+e^x (1000+e (500-500 x)-1300 x+150 x^2)) \, dx\) [522]
3.6.23 \(\int \genfrac {}{}{}{}{1}{x} \, dx\) [523]
3.6.24 \(\int \genfrac {}{}{}{}{-4+16 x-24 x^2+16 x^3-4 x^4+(24-80 x+96 x^2-48 x^3+8 x^4) \log (-3+x)}{(-3+x) \log ^3(-3+x)} \, dx\) [524]
3.6.25 \(\int \genfrac {}{}{}{}{1}{135} e^{\genfrac {}{}{}{}{1}{27} (-54+27 e^{e^{\genfrac {}{}{}{}{5+x}{5}} x}+324 x+x^4)} (1620+20 x^3+e^{e^{\genfrac {}{}{}{}{5+x}{5}} x+\genfrac {}{}{}{}{5+x}{5}} (135+27 x)) \, dx\) [525]
3.6.26 \(\int \genfrac {}{}{}{}{10 x+x^2+e^x (-76-17 x-x^2)}{475+190 x+24 x^2+x^3+e^x (95+19 x+x^2)} \, dx\) [526]
3.6.27 \(\int \genfrac {}{}{}{}{e^{-1-6 x-x^2} (-1+(1+x-6 x^2-2 x^3) \log (x)+(-6 x-2 x^2) \log (x) \log (\genfrac {}{}{}{}{x}{\log (x)}))}{x \log (x)} \, dx\) [527]
3.6.28 \(\int \genfrac {}{}{}{}{e^x (e^{7-x} (-1-2 x)+e^4 (2+2 x+x^2))}{16+4 e^{6-2 x}+e^{3-x} (-16-8 x)+16 x+4 x^2} \, dx\) [528]
3.6.29 \(\int \genfrac {}{}{}{}{\log (2)-\log (2) \log (x)+(1-\log (2)) \log ^2(x)}{\log ^2(x)} \, dx\) [529]
3.6.30 \(\int \genfrac {}{}{}{}{e^{-\genfrac {}{}{}{}{e^x}{\log (-9+x)}} (e^x x+e^x (9 x-x^2) \log (-9+x)+(9-x) \log ^2(-9+x))}{(-45 x^2+5 x^3+e (-9 x^2+x^3)) \log ^2(-9+x)} \, dx\) [530]
3.6.31 \(\int \genfrac {}{}{}{}{-84 x-10 x^2+2 e^6 x^2+6 x^3+6 x^4+2 x^5+e^4 (16 x+10 x^2+6 x^3)+e^2 (14+46 x+30 x^2+16 x^3+6 x^4)+(-26 x+2 e^4 x-2 x^2+e^2 (2+6 x+2 x^2)) \log (25 e^x x)-2 x \log ^2(25 e^x x)}{e^6 x+3 e^4 x^2+3 e^2 x^3+x^4} \, dx\) [531]
3.6.32 \(\int \genfrac {}{}{}{}{-27-24 x+e^{x^2} (-93-126 x+122 x^2+144 x^3+32 x^4)}{9-54 x+57 x^2+72 x^3+16 x^4} \, dx\) [532]
3.6.33 \(\int \genfrac {}{}{}{}{-384 x+96 x^2-12 x^3+e^{\genfrac {}{}{}{}{1}{4} (4 x+e^{-5+x} x-x^2)} (-48 x^2+60 x^3-36 x^4+6 x^5+e^{-5+x} (12 x^3+9 x^4-3 x^5))+(-48 x^2+12 x^3) \log (-4+x)}{-256+64 x+e^{\genfrac {}{}{}{}{1}{2} (4 x+e^{-5+x} x-x^2)} (-16 x^2+4 x^3)+(-128 x+32 x^2) \log (-4+x)+(-16 x^2+4 x^3) \log ^2(-4+x)+e^{\genfrac {}{}{}{}{1}{4} (4 x+e^{-5+x} x-x^2)} (-128 x+32 x^2+(-32 x^2+8 x^3) \log (-4+x))} \, dx\) [533]
3.6.34 \(\int \genfrac {}{}{}{}{e^4+16 x^4+e^2 (8 x+8 x^2)}{3 e^4+24 e^2 x^2+48 x^4} \, dx\) [534]
3.6.35 \(\int \genfrac {}{}{}{}{e^4 (90-18 x)+450 x-180 x^2+18 x^3+(-90+18 x) \log (2)+(e^4 (18 x+60 x^2-12 x^3)+(-18 x-60 x^2+12 x^3) \log (2)) \log (x)+(e^8 (-6 x+2 x^3)+e^4 (12 x-4 x^3) \log (2)+(-6 x+2 x^3) \log ^2(2)) \log ^2(x)}{225 x-90 x^2+9 x^3+(e^4 (30 x^2-6 x^3)+(-30 x^2+6 x^3) \log (2)) \log (x)+(e^8 x^3-2 e^4 x^3 \log (2)+x^3 \log ^2(2)) \log ^2(x)} \, dx\) [535]
3.6.36 \(\int \genfrac {}{}{}{}{e^{e^{\genfrac {}{}{}{}{2 (3 e^x+30 x+x^2)}{x^2}}+\genfrac {}{}{}{}{2 (3 e^x+30 x+x^2)}{x^2}} (-60 x+e^x (-12+6 x))}{x^3} \, dx\) [536]
3.6.37 \(\int \genfrac {}{}{}{}{e^{10} (246-250 e^2)-x^3-250 e^{10} \log (x^2)}{x^3} \, dx\) [537]
3.6.38 \(\int \genfrac {}{}{}{}{405+\log ^4(4)+81 e^2 \log (5)}{5 \log ^4(4)+e^2 \log ^4(4) \log (5)} \, dx\) [538]
3.6.39 \(\int \genfrac {}{}{}{}{-x^3-2 x^4+e^x (-8 x^3-2 e^6 x^3-2 x^4)+e^{2 x} (18+e^{12} (2-2 x)-12 x-12 x^2-2 x^3+e^6 (12-10 x-4 x^2))+(x^3+x^4+e^x (6 x^2+2 e^6 x^2+2 x^3)+e^{2 x} (9+e^{12}+6 x+x^2+e^6 (6+2 x))) \log (\genfrac {}{}{}{}{x^3+x^4+e^x (6 x^2+2 e^6 x^2+2 x^3)+e^{2 x} (9+e^{12}+6 x+x^2+e^6 (6+2 x))}{x^2})}{(x^3+x^4+e^x (6 x^2+2 e^6 x^2+2 x^3)+e^{2 x} (9+e^{12}+6 x+x^2+e^6 (6+2 x))) \log ^2(\genfrac {}{}{}{}{x^3+x^4+e^x (6 x^2+2 e^6 x^2+2 x^3)+e^{2 x} (9+e^{12}+6 x+x^2+e^6 (6+2 x))}{x^2})} \, dx\) [539]
3.6.40 \(\int \genfrac {}{}{}{}{e^{-\genfrac {}{}{}{}{2 e^8}{x^4}} (36 e^8+e^{\genfrac {}{}{}{}{2 e^8}{x^4}} x^6+e^{\genfrac {}{}{}{}{e^8}{x^4}} (12 e^8 x+3 x^5))}{3 x^5} \, dx\) [540]
3.6.41 \(\int \genfrac {}{}{}{}{-x^2+(e^x (2 x^2+2 x^3+75 x^4+65 x^5+15 x^6+x^7)+e^{2 x} (-40 x-1000 x^3-400 x^4-6290 x^5-5000 x^6-1500 x^7-200 x^8-10 x^9)) \log (x)+(-x^2+e^x (40 x+500 x^3+200 x^4+20 x^5)) \log (x) \log (\log (x))-10 x \log (x) \log ^2(\log (x))}{(x^2+e^x (-20 x-250 x^3-100 x^4-10 x^5)+e^{2 x} (100+2500 x^2+1000 x^3+15725 x^4+12500 x^5+3750 x^6+500 x^7+25 x^8)) \log (x)+(10 x+e^x (-100-1250 x^2-500 x^3-50 x^4)) \log (x) \log (\log (x))+25 \log (x) \log ^2(\log (x))} \, dx\) [541]
3.6.42 \(\int \genfrac {}{}{}{}{5+e^2 (-1-4 x)+20 x}{x} \, dx\) [542]
3.6.43 \(\int 144 e^{-10+2 x+6 x^4} x (2+2 x+24 x^4) \, dx\) [543]
3.6.44 \(\int \genfrac {}{}{}{}{96-1896 x+6246 x^2-1230 x^3+3072 x^4+(24-384 x+54 x^2-288 x^3) \log (x)+6 x^2 \log ^2(x)}{x} \, dx\) [544]
3.6.45 \(\int \genfrac {}{}{}{}{100-160 x-20 x^2+6 x^3+e^x (150 x+30 x^2-10 x^3)}{(-25 x+30 x^2-x^4+e^x (-25 x^2+5 x^3)) \log ^2(\genfrac {}{}{}{}{25 x^4-50 x^5+15 x^6+25 e^{2 x} x^6+10 x^7+x^8+e^x (50 x^5-50 x^6-10 x^7)}{625-250 x+25 x^2})} \, dx\) [545]
3.6.46 \(\int \genfrac {}{}{}{}{1}{3} (-e^2-4 x) \, dx\) [546]
3.6.47 \(\int e^{-4 e^x} (-2 x-2 e^{4 e^x} x+4 e^x x^2) \, dx\) [547]
3.6.48 \(\int \genfrac {}{}{}{}{-5+2 x}{-5 x+x^2} \, dx\) [548]
3.6.49 \(\int \genfrac {}{}{}{}{e^{8+2 x-10 x^2} (-18-9 x)+e^{4+x-5 x^2} (6-3 x+30 x^2)}{x^3+e^{4+x-5 x^2} (-6 x^3-2 x^4)+e^{8+2 x-10 x^2} (9 x^3+6 x^4+x^5)} \, dx\) [549]
3.6.50 \(\int \genfrac {}{}{}{}{-9 x^2+18 x^3-9 x^4+e^{\genfrac {}{}{}{}{2}{-1+x}} (9 x^2-24 x^3+9 x^4)}{1-2 x+x^2} \, dx\) [550]
3.6.51 \(\int \genfrac {}{}{}{}{-4 x+32 x^2+e^x (2 x-16 x^2)+(2-16 x+e^x (-1+8 x)) \log (-2+e^x)+(-4 x+16 x^2+e^x (x-4 x^2)) \log (-x+4 x^2)}{2 x-8 x^2+e^x (-x+4 x^2)} \, dx\) [551]
3.6.52 \(\int \genfrac {}{}{}{}{-771+3 e^5-3 e^{16}}{10 x^2} \, dx\) [552]
3.6.53 \(\int \genfrac {}{}{}{}{-16 x+(32 x^2+8 e^x x^2) \log ^2(x)+e^{\genfrac {}{}{}{}{2 e^{2 x}-10 x}{x}} (8 x+e^{2 x} (-16+32 x) \log (x)+(-16 x^2-4 e^x x^2+e^{2 x} (-32 x+64 x^2+e^x (-8+16 x))) \log ^2(x))}{4 x^2 \log ^2(x)-4 e^{\genfrac {}{}{}{}{2 e^{2 x}-10 x}{x}} x^2 \log ^2(x)+e^{\genfrac {}{}{}{}{2 (2 e^{2 x}-10 x)}{x}} x^2 \log ^2(x)} \, dx\) [553]
3.6.54 \(\int (8+8 x+e^{2 x} (2 e^{10}+e^5 (-2-4 x)+2 x+2 x^2)+e^x (-4-12 x-4 x^2+e^5 (8+4 x))) \, dx\) [554]
3.6.55 \(\int \genfrac {}{}{}{}{-e^3 x+(64+32 x+4 x^2) \log (\genfrac {}{}{}{}{1}{4} e^{\genfrac {}{}{}{}{576+144 x+e^3 x}{64+16 x}})}{(160+80 x+10 x^2) \log ^2(\genfrac {}{}{}{}{1}{4} e^{\genfrac {}{}{}{}{576+144 x+e^3 x}{64+16 x}})} \, dx\) [555]
3.6.56 \(\int \genfrac {}{}{}{}{20+e^{12+2 x} (-8-40 x) \log (2+10 x)}{e^{12+2 x} (-1-5 x) \log (2+10 x)+(1+5 x) \log (2+10 x) \log (\log (2+10 x))} \, dx\) [556]
3.6.57 \(\int \genfrac {}{}{}{}{-112-28 x+e^5 x^3}{e^5 x^3} \, dx\) [557]
3.6.58 \(\int \genfrac {}{}{}{}{(50 e^{5+2 x}+450 x^2-300 x^3+50 x^4+e^5 (450 x^2-300 x^3+50 x^4)+e^x (-300 x+300 x^2-50 x^3+e^5 (-300 x+100 x^2))) \log (\genfrac {}{}{}{}{2 e^{5+x} x-6 x^2+2 x^3+e^5 (-6 x^2+2 x^3)}{e^x-3 x+x^2})}{e^{5+2 x} x+9 x^3-6 x^4+x^5+e^5 (9 x^3-6 x^4+x^5)+e^x (-3 x^2+x^3+e^5 (-6 x^2+2 x^3))} \, dx\) [558]
3.6.59 \(\int \genfrac {}{}{}{}{e^{-32 x^2} (4394 x-140608 x^3-2028 x^5+64896 x^7+1326 x^9-42432 x^{11}-328 x^{13}+10496 x^{15}+102 x^{17}-3264 x^{19}-12 x^{21}+384 x^{23}+2 x^{25}-64 x^{27}+e^{32 x^2} (4096 x^3-4096 x^7)+e^{16 x^2} (-5408+173056 x^2-1664 x^4-53248 x^6+2880 x^8+30720 x^{10}-640 x^{12}-4096 x^{14}+224 x^{16}+1024 x^{18}))}{2197-1014 x^4+663 x^8-164 x^{12}+51 x^{16}-6 x^{20}+x^{24}} \, dx\) [559]
3.6.60 \(\int \genfrac {}{}{}{}{69 x-16 x^2+x^3+e^x (-69+16 x-x^2)+(216-123 x+20 x^2-x^3+e^x (-216+123 x-20 x^2+x^3)) \log (\genfrac {}{}{}{}{-27+12 x-x^2}{-8+x})}{-216 x^2+123 x^3-20 x^4+x^5+e^{2 x} (-216+123 x-20 x^2+x^3)+e^x (432 x-246 x^2+40 x^3-2 x^4)} \, dx\) [560]
3.6.61 \(\int \genfrac {}{}{}{}{2 x}{3+x^2} \, dx\) [561]
3.6.62 \(\int \genfrac {}{}{}{}{9 x^2+4 x^3+e^x (-6 x-6 x^2-x^3)}{2 \log (9)} \, dx\) [562]
3.6.63 \(\int \genfrac {}{}{}{}{6 e^{\genfrac {}{}{}{}{x^2}{3}} x \log (\genfrac {}{}{}{}{-2+x}{5 x})+e^{\genfrac {}{}{}{}{x^2}{3}} (-6 x+3 x^2-2 x^3+x^4) \log ^2(\genfrac {}{}{}{}{-2+x}{5 x})}{-12+6 x} \, dx\) [563]
3.6.64 \(\int \genfrac {}{}{}{}{(9-9 x) \log (10)+(10-6 x) \log (10) \log (x)-5 \log (10) \log ^2(x)}{3 x^2} \, dx\) [564]
3.6.65 \(\int \genfrac {}{}{}{}{1}{375} e^{-x} (-25+e^x (50-2 x)+25 x) \, dx\) [565]
3.6.66 \(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{e^{-x/3}}{16 x^4}-\genfrac {}{}{}{}{x}{3}} (-12-x)}{48 x^5} \, dx\) [566]
3.6.67 \(\int \genfrac {}{}{}{}{1}{3} e^{\genfrac {}{}{}{}{1}{9} (e^2+e^{6 x}+9 e^{2 e^{5 e^x} x}+2 e^{1+3 x}+e^{e^{5 e^x} x} (6 e+6 e^{3 x}))} (2 e^{6 x}+2 e^{1+3 x}+e^{5 e^x+2 e^{5 e^x} x} (6+30 e^x x)+e^{e^{5 e^x} x} (6 e^{3 x}+e^{5 e^x} (2 e+10 e^{1+x} x+e^{3 x} (2+10 e^x x)))) \, dx\) [567]
3.6.68 \(\int \genfrac {}{}{}{}{1996 x^3+e^2 (-15968+9624 x)}{996004 x^3-800396 x^4+160801 x^5} \, dx\) [568]
3.6.69 \(\int \genfrac {}{}{}{}{e^{e^{\genfrac {}{}{}{}{18+18 x-18 \log ^2(2)+(1-x-x^2+x^3+(-1+2 x-x^2) \log ^2(2)) \log (\genfrac {}{}{}{}{x}{2})}{1-2 x+x^2}}+\genfrac {}{}{}{}{18+18 x-18 \log ^2(2)+(1-x-x^2+x^3+(-1+2 x-x^2) \log ^2(2)) \log (\genfrac {}{}{}{}{x}{2})}{1-2 x+x^2}} (-1-52 x-18 x^2-2 x^3+x^4+(1+33 x+3 x^2-x^3) \log ^2(2)+(-x+3 x^2-3 x^3+x^4) \log (\genfrac {}{}{}{}{x}{2}))}{-x+3 x^2-3 x^3+x^4} \, dx\) [569]
3.6.70 \(\int \genfrac {}{}{}{}{-2-7 e^{2 x}+e^x (-2-14 x)-7 x^2}{e^{2 x}+2 e^x x+x^2} \, dx\) [570]
3.6.71 \(\int -e^{-x} \, dx\) [571]
3.6.72 \(\int \genfrac {}{}{}{}{3 e^4+e^{4 x/3} (3-8 x)+3 x}{e^{12}+e^{4 x}+e^{8 x/3} (3 e^4-3 x)-3 e^8 x+3 e^4 x^2-x^3+e^{4 x/3} (3 e^8-6 e^4 x+3 x^2)} \, dx\) [572]
3.6.73 \(\int \genfrac {}{}{}{}{e^{16 x} (6 x+48 x^2)}{-2+3 e^{16 x} x^2} \, dx\) [573]
3.6.74 \(\int \genfrac {}{}{}{}{-x^2+2 x \log (5)-\log ^2(5)+(x^3+216 x^4+216 x^6+72 x^8+8 x^{10}+(-x-2 x^2-432 x^3-432 x^5-144 x^7-16 x^9) \log (5)+(x+216 x^2+216 x^4+72 x^6+8 x^8) \log ^2(5)) \log ^2(x)}{(x^3-2 x^2 \log (5)+x \log ^2(5)) \log ^2(x)} \, dx\) [574]
3.6.75 \(\int \genfrac {}{}{}{}{e^{-x} (e^4 (-45-15 x)+e^x (24 x-3 x^2))}{x^4} \, dx\) [575]
3.6.76 \(\int e^{16+e^{16+8 e^x+e^{2 x}}+8 e^x+e^{2 x}} (8 e^x+2 e^{2 x}) \, dx\) [576]
3.6.77 \(\int \genfrac {}{}{}{}{e^{e^x} (-32-16 x-10 x^2-5 x^3+(-16 x+20 x^2+5 x^3+e^x (32 x+16 x^2+10 x^3+5 x^4)) \log (x))}{(16 x+16 x^2+4 x^3) \log ^2(x)} \, dx\) [577]
3.6.78 \(\int \genfrac {}{}{}{}{120 x-9 x^2 \log (5)+(-30 x+2 x^2 \log (5)) \log (15-x \log (5))}{-240 \log (3)+16 x \log (3) \log (5)+(120 \log (3)-8 x \log (3) \log (5)) \log (15-x \log (5))+(-15 \log (3)+x \log (3) \log (5)) \log ^2(15-x \log (5))} \, dx\) [578]
3.6.79 \(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{9+4 x-5 x^2}{x}} (-9-5 x^2)}{x^2} \, dx\) [579]
3.6.80 \(\int \genfrac {}{}{}{}{e^{e x^2+x^3+e^{x^2} (e+x)} (e^{x+x^2} (x+2 e x^2+2 x^3)+e^x (-1+x+2 e x^2+3 x^3))}{x^2 \log (3)} \, dx\) [580]
3.6.81 \(\int \genfrac {}{}{}{}{(10-10 x+x^2) \log (x)+(20 x-4 x^2+(40 x-8 x^2) \log (x)) \log (x^2 \log (x))+(20 x-2 x^2) \log (x) \log ^2(x^2 \log (x))+(-20 x+4 x^2+(-40 x+8 x^2) \log (x)) \log ^3(x^2 \log (x))+(-10 x+x^2) \log (x) \log ^4(x^2 \log (x))}{(4 x^2-4 x^3+x^4) \log (x)+(8 x^3-4 x^4) \log (x) \log ^2(x^2 \log (x))+(-4 x^3+6 x^4) \log (x) \log ^4(x^2 \log (x))-4 x^4 \log (x) \log ^6(x^2 \log (x))+x^4 \log (x) \log ^8(x^2 \log (x))} \, dx\) [581]
3.6.82 \(\int \genfrac {}{}{}{}{1}{4} (x^3+e^{4 x+4 e^2 x^3} (1+3 e^2 x^2)+e^{3 x+3 e^2 x^3} (1+3 x+9 e^2 x^3)+e^{2 x+2 e^2 x^3} (3 x+3 x^2+9 e^2 x^4)+e^{x+e^2 x^3} (3 x^2+x^3+3 e^2 x^5)) \, dx\) [582]
3.6.83 \(\int \genfrac {}{}{}{}{9796900-175000 e^{5 x}+17500 e^{6 x}-1000 e^{7 x}+25 e^{8 x}+31285 x+e^{2 x} (10945000+7500 x-7500 x^2)+e^{4 x} (1093800+50 x-100 x^2)+e^{3 x} (-4376000-1000 x+1500 x^2)+e^x (-15650000-25000 x+12500 x^2)+(18780-15000 e^x+4500 e^{2 x}-600 e^{3 x}+30 e^{4 x}+30 x) \log (x)+9 \log ^2(x)}{9796900-15650000 e^x+10945000 e^{2 x}-4376000 e^{3 x}+1093800 e^{4 x}-175000 e^{5 x}+17500 e^{6 x}-1000 e^{7 x}+25 e^{8 x}+(18780-15000 e^x+4500 e^{2 x}-600 e^{3 x}+30 e^{4 x}) \log (x)+9 \log ^2(x)} \, dx\) [583]
3.6.84 \(\int \genfrac {}{}{}{}{x-e^{5 x} x-5 x^2+(1-x^2+e^{5 x} (-1+x^2)) \log ^2(e^{-5 x} (x-e^{5 x} x))}{(-x^2+e^{5 x} x^2) \log ^2(e^{-5 x} (x-e^{5 x} x))} \, dx\) [584]
3.6.85 \(\int \genfrac {}{}{}{}{e^x (e^4 (-5-5 x)-5 x^3)+e^{2 x} (-x^2+e^4 (1+x))}{e^{x+\genfrac {}{}{}{}{e^4-x \log (4)}{x}} (-10 x^2-20 x^3-10 x^4)+e^{2 x+\genfrac {}{}{}{}{e^4-x \log (4)}{x}} (x^2+2 x^3+x^4)+e^{\genfrac {}{}{}{}{e^4-x \log (4)}{x}} (25 x^2+50 x^3+25 x^4)} \, dx\) [585]
3.6.86 \(\int (1-e^8+e^4 (-10-4 x)-8 x-3 x^2+(40+8 e^4+16 x) \log (\genfrac {}{}{}{}{2}{x})-16 \log ^2(\genfrac {}{}{}{}{2}{x})+(-10-2 e^4-4 x+8 \log (\genfrac {}{}{}{}{2}{x})) \log (x)-\log ^2(x)) \, dx\) [586]
3.6.87 \(\int \genfrac {}{}{}{}{(-4-6 x^2+3 x^4) \log ^2(x)+e^{\genfrac {}{}{}{}{8 x}{\log (x)}} (-8 x+8 x \log (x)-\log ^2(x))+e^{\genfrac {}{}{}{}{4 x}{\log (x)}} (24 x-8 x^3+(-24 x+8 x^3) \log (x)+(6+2 x^2) \log ^2(x))}{e^{\genfrac {}{}{}{}{8 x}{\log (x)}} x \log ^2(x)+e^{\genfrac {}{}{}{}{4 x}{\log (x)}} (-6 x+2 x^3) \log ^2(x)+(4 x-6 x^3+x^5) \log ^2(x)} \, dx\) [587]
3.6.88 \(\int \genfrac {}{}{}{}{4 x+4 x^2+9 x^3+9 x^4+e^4 (4+9 x^2)+(-64 x+4 x^2-432 x^3+27 x^4+e^4 (-4-27 x^2)+(4 x+27 x^3) \log (x)) \log (\genfrac {}{}{}{}{-e^4-16 x+x^2+x \log (x)}{x})}{-e^4-16 x+x^2+x \log (x)} \, dx\) [588]
3.6.89 \(\int \genfrac {}{}{}{}{e^{e^{e^{2 x^2-4 x \log (\genfrac {}{}{}{}{4}{x})+2 \log ^2(\genfrac {}{}{}{}{4}{x})}}} (e^{\genfrac {}{}{}{}{8}{-3+x}} (-9-2 x-x^2)+e^{e^{2 x^2-4 x \log (\genfrac {}{}{}{}{4}{x})+2 \log ^2(\genfrac {}{}{}{}{4}{x})}+2 x^2-4 x \log (\genfrac {}{}{}{}{4}{x})+2 \log ^2(\genfrac {}{}{}{}{4}{x})} (e^{\genfrac {}{}{}{}{8}{-3+x}} (36 x+12 x^2-20 x^3+4 x^4)+e^{\genfrac {}{}{}{}{8}{-3+x}} (-36-12 x+20 x^2-4 x^3) \log (\genfrac {}{}{}{}{4}{x})))}{9 x^2-6 x^3+x^4} \, dx\) [589]
3.6.90 \(\int \genfrac {}{}{}{}{50-80 x-465 x^2-820 x^3-330 x^4-360 x^5+e^x (-10-70 x-155 x^2-125 x^3-75 x^4-45 x^5)+(-10-60 x-95 x^2-30 x^3-45 x^4) \log (2+x^2)}{4+24 x+38 x^2+12 x^3+18 x^4} \, dx\) [590]
3.6.91 \(\int \genfrac {}{}{}{}{(16 x-16 x^2+(96 x-48 x^2+(-32 x+16 x^2) \log (x)) \log (-3+\log (x))) \log ^3(-\genfrac {}{}{}{}{x^2 \log (3)}{(-2+2 x) \log (-3+\log (x))})+(24 x-24 x^2+(-8 x+8 x^2) \log (x)) \log (-3+\log (x)) \log ^4(-\genfrac {}{}{}{}{x^2 \log (3)}{(-2+2 x) \log (-3+\log (x))})}{(3-3 x+(-1+x) \log (x)) \log (-3+\log (x))} \, dx\) [591]
3.6.92 \(\int \genfrac {}{}{}{}{-4+4 \log (x)+(-e^x+e^x \log (x)) \log (3 x)+(-6 e^x x+e^x \log (x)+(-6 e^x x^2+e^x x \log (x)) \log (3 x)) \log (\genfrac {}{}{}{}{-6 x+\log (x)}{x})}{-96 x^2+16 x \log (x)+(-48 e^x x^2+8 e^x x \log (x)) \log (3 x)+(-6 e^{2 x} x^2+e^{2 x} x \log (x)) \log ^2(3 x)} \, dx\) [592]
3.6.93 \(\int \genfrac {}{}{}{}{32-16 x+16 x \log (x)+18 x^2 \log ^2(x)}{9 x \log ^2(x)} \, dx\) [593]
3.6.94 \(\int \genfrac {}{}{}{}{(75+3 e^3) \log (3)}{625+e^6+50 x+x^2+e^3 (50+2 x)} \, dx\) [594]
3.6.95 \(\int \genfrac {}{}{}{}{-432 x+1296 x^2-1224 x^3+456 x^4-72 x^5+4 x^6+e^4 (-432 x+216 x^2-36 x^3+2 x^4)+e^2 (864 x-1512 x^2+660 x^3-108 x^4+6 x^5)+e^{9 x} (2 x^4+2 e^4 x^4-6 x^5+4 x^6+e^2 (-4 x^4+6 x^5))+e^{3 x} (216 x^2-660 x^3+528 x^4-114 x^5+6 x^6+e^4 (216 x^2-72 x^3+6 x^4)+e^2 (-432 x^2+732 x^3-184 x^4+12 x^5))+e^{6 x} (-36 x^3+110 x^4-78 x^5+6 x^6+e^4 (-36 x^3+6 x^4)+e^2 (72 x^3-116 x^4+12 x^5))}{-216+108 x-18 x^2+x^3+e^{9 x} x^3+e^{3 x} (108 x-36 x^2+3 x^3)+e^{6 x} (-18 x^2+3 x^3)} \, dx\) [595]
3.6.96 \(\int \genfrac {}{}{}{}{x+e^{4 x^2 \log (x)+4 e^8 \log (x) \log (3 x)} (4 x^2+(4 e^8+8 x^2) \log (x)+4 e^8 \log (3 x))}{x} \, dx\) [596]
3.6.97 \(\int 3 e^{5 x-125 x^2-50 x^3-5 x^4} (15-750 x-450 x^2-60 x^3) \, dx\) [597]
3.6.98 \(\int \genfrac {}{}{}{}{-4+10 x^2-2 x^3}{x^2} \, dx\) [598]
3.6.99 \(\int \genfrac {}{}{}{}{x+e^x (x+x^2)+(1+e^x (1+x)) \log (2 x)+(2+3 x+e^x (2+3 x)+(1+e^x) \log (2 x)) \log (x+e^x x)}{(x^2+e^x x^2+(x+e^x x) \log (2 x)) \log (x+e^x x) \log (\genfrac {}{}{}{}{1}{5} (3 x^3+6 x^2 \log (2 x)+3 x \log ^2(2 x)) \log (x+e^x x))} \, dx\) [599]
3.6.100 \(\int \genfrac {}{}{}{}{-100 x^5-750 x^6+(300 x^3+6750 x^4+45500 x^5+7500 x^6+300 x^7) \log (\genfrac {}{}{}{}{2+30 x+3 x^2}{1+15 x+x^2})+(-200 x-6000 x^2-45500 x^3-7500 x^4-300 x^5) \log ^2(\genfrac {}{}{}{}{2+30 x+3 x^2}{1+15 x+x^2})}{(2+60 x+455 x^2+75 x^3+3 x^4) \log ^3(\genfrac {}{}{}{}{2+30 x+3 x^2}{1+15 x+x^2})} \, dx\) [600]