3.9.1 \(\int \genfrac {}{}{}{}{e^5 (5-2 x)-e^5 \log (4)+e^{\genfrac {}{}{}{}{e^e-2 x^2}{e^5}} (-e^5+4 x^2+4 x \log (4))}{e^5} \, dx\) [801]
3.9.2 \(\int \genfrac {}{}{}{}{e^x (10 x+14 x^2+4 x^3+(16 x+8 x^2) \log (3)+4 x \log ^2(3))+(e^x (2 x+5 x^2+5 x^3+2 x^4+(4 x+8 x^2+4 x^3) \log (3)+(2 x+2 x^2) \log ^2(3))+e^x (2+5 x+5 x^2+2 x^3+(4+8 x+4 x^2) \log (3)+(2+2 x) \log ^2(3)) \log (-2-3 x-2 x^2+(-4-4 x) \log (3)-2 \log ^2(3))) \log (x+\log (-2-3 x-2 x^2+(-4-4 x) \log (3)-2 \log ^2(3))) \log (\log ^2(x+\log (-2-3 x-2 x^2+(-4-4 x) \log (3)-2 \log ^2(3))))}{(2 x+3 x^2+2 x^3+(4 x+4 x^2) \log (3)+2 x \log ^2(3)+(2+3 x+2 x^2+(4+4 x) \log (3)+2 \log ^2(3)) \log (-2-3 x-2 x^2+(-4-4 x) \log (3)-2 \log ^2(3))) \log (x+\log (-2-3 x-2 x^2+(-4-4 x) \log (3)-2 \log ^2(3)))} \, dx\) [802]
3.9.3 \(\int \genfrac {}{}{}{}{1+2 x+e^{1-2 x+x^2} (-2 x+2 x^2)}{x} \, dx\) [803]
3.9.4 \(\int \genfrac {}{}{}{}{-10-25 x+5 x^2+5 x^3+e^x (-x^3-x^4)-20 \log (x)}{x^3} \, dx\) [804]
3.9.5 \(\int (-36 x+12 e^3 x^2-e^6 x^3+(-12 x+2 e^3 x^2) \log (4)-x \log ^2(4)+(-72 x+36 e^3 x^2-4 e^6 x^3+(-24 x+6 e^3 x^2) \log (4)-2 x \log ^2(4)) \log (x)) \, dx\) [805]
3.9.6 \(\int e^{1+x} (1+2 x+x^2+x^3) \, dx\) [806]
3.9.7 \(\int \genfrac {}{}{}{}{(48600 x+20250 e^{2+2 x} x) \log (\log (x))+(48600 x+e^{2+2 x} (20250 x-81000 x^2)) \log (x) \log ^2(\log (x))}{(248832+518400 e^{2+2 x}+432000 e^{4+4 x}+180000 e^{6+6 x}+37500 e^{8+8 x}+3125 e^{10+10 x}) \log (x)} \, dx\) [807]
3.9.8 \(\int \genfrac {}{}{}{}{10 x+2 x^2-10 x^3-2 x^4+(-60+30 x+23 x^2-10 x^3-x^4) \log (\genfrac {}{}{}{}{1}{10} (-20+10 x+x^2))}{(-20 x^4+10 x^5+x^6) \log ^2(\genfrac {}{}{}{}{1}{10} (-20+10 x+x^2))} \, dx\) [808]
3.9.9 \(\int \genfrac {}{}{}{}{e^{2 x} (-20+4 x) \log (\genfrac {}{}{}{}{1}{3} (-5+x))+\log (3+e^x) (-12 e^x-4 e^{2 x}+(e^{2 x} (-20+4 x)+e^x (-60+12 x)) \log (\genfrac {}{}{}{}{1}{3} (-5+x)))}{(-15+e^x (-5+x)+3 x) \log ^2(\genfrac {}{}{}{}{1}{3} (-5+x))} \, dx\) [809]
3.9.10 \(\int \genfrac {}{}{}{}{-20-160 x-315 x^2-195 x^3-25 x^4+e^4 (96+256 x+190 x^2+25 x^3)+(-20 x-45 x^2-25 x^3+e^4 (16+40 x+25 x^2)) \log (\genfrac {}{}{}{}{e^4 (-4-5 x)+5 x+5 x^2}{4+5 x})}{-100 x-245 x^2-170 x^3-25 x^4+e^4 (80+216 x+165 x^2+25 x^3)+(-20 x-45 x^2-25 x^3+e^4 (16+40 x+25 x^2)) \log (\genfrac {}{}{}{}{e^4 (-4-5 x)+5 x+5 x^2}{4+5 x})} \, dx\) [810]
3.9.11 \(\int \genfrac {}{}{}{}{392-49 x+9 x^3 \log ^2(3)+e^{2 x} (72-81 x+18 x^2) \log ^2(3)+e^x ((336-210 x+42 x^2) \log (3)+(72-45 x+9 x^2) \log ^2(3))}{-196 x+49 x^2+9 x^4 \log ^2(3)+e^{2 x} (-36 x+9 x^2) \log ^2(3)+e^x ((-168 x+42 x^2) \log (3)+(-36 x+9 x^2) \log ^2(3))} \, dx\) [811]
3.9.12 \(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{3 e^{x^2}+2 x-3 \log (x)}{6 x}} (-1+e^{x^2} (-1+2 x^2)+\log (x))}{8 x^2} \, dx\) [812]
3.9.13 \(\int \genfrac {}{}{}{}{-100 x^2+40 x^3-4 x^4+(200 x^2-120 x^3+16 x^4) \log (x)+(-1-76 x^2+24 x^3) \log ^2(x)-\log (3 e^{\genfrac {}{}{}{}{100 x^2-40 x^3+4 x^4+(-40 x^2+8 x^3) \log (x)+4 x^2 \log ^2(x)}{\log (x)}}) \log ^2(x)+8 x^2 \log ^3(x)}{x^2 \log ^2(x)} \, dx\) [813]
3.9.14 \(\int \genfrac {}{}{}{}{-e^{-x}+8 e^{8 x}}{-5+e^{-x}+e^{8 x}} \, dx\) [814]
3.9.15 \(\int \genfrac {}{}{}{}{30+20 x+e^{(\genfrac {}{}{}{}{3+2 x}{x})^{5 x}} (15+10 x+(\genfrac {}{}{}{}{3+2 x}{x})^{5 x} (75 x+(-75 x-50 x^2) \log (\genfrac {}{}{}{}{3+2 x}{x})))}{6 x^2+4 x^3} \, dx\) [815]
3.9.16 \(\int \genfrac {}{}{}{}{-54 x+(162+54 x) \log (\genfrac {}{}{}{}{25 x}{4 e^4})-162 \log ^2(\genfrac {}{}{}{}{25 x}{4 e^4})}{x^3} \, dx\) [816]
3.9.17 \(\int \genfrac {}{}{}{}{e^{-2+e^{5 e^x}} (-50 x^2+50 e^{-3+x} x^2)+e^{-4+2 e^{5 e^x}} (50 e^{-3+x} x-50 x^2+e^{5 e^x+x} (250 e^{-3+x} x^2-250 x^3)) \log (e^{-3+x}-x) \log (\log (e^{-3+x}-x))+(-50 x^2+50 e^{-3+x} x^2+e^{-2+e^{5 e^x}} (100 e^{-3+x} x-100 x^2+e^{5 e^x+x} (250 e^{-3+x} x^2-250 x^3)) \log (e^{-3+x}-x) \log (\log (e^{-3+x}-x))) \log (\log (\log (e^{-3+x}-x)))+(50 e^{-3+x} x-50 x^2) \log (e^{-3+x}-x) \log (\log (e^{-3+x}-x)) \log ^2(\log (\log (e^{-3+x}-x)))}{(e^{-3+x}-x) \log (e^{-3+x}-x) \log (\log (e^{-3+x}-x))} \, dx\) [817]
3.9.18 \(\int \genfrac {}{}{}{}{45+26 x+112 x^2+18 x^3+(-36-6 x) \log (6+x)}{6+x} \, dx\) [818]
3.9.19 \(\int \genfrac {}{}{}{}{1326-260 x+25 x^2}{676-260 x+25 x^2} \, dx\) [819]
3.9.20 \(\int e^{-3-2 x} (4 e^{2+2 x}+e (1+4 x-4 x^2)+e (1-2 x) \log (x)) \, dx\) [820]
3.9.21 \(\int \genfrac {}{}{}{}{-4 x-6 x^2-2 x^3+e^x (2 x+2 x^2)+e^{\genfrac {}{}{}{}{x^2+\log ^2(-2 x+e^x x-x^2)}{x}} (-2 x-3 x^2-x^3+e^x (x+x^2)+(-4-4 x+e^x (2+2 x)) \log (-2 x+e^x x-x^2)+(2-e^x+x) \log ^2(-2 x+e^x x-x^2))}{-2 x+e^x x-x^2} \, dx\) [821]
3.9.22 \(\int \genfrac {}{}{}{}{-384 e^{\genfrac {}{}{}{}{4 (16-x)}{x}}-10 x^3+10 e^3 x^3}{-x^2+e^3 x^2} \, dx\) [822]
3.9.23 \(\int e^{4+8 x+4 x^2} (-24-24 x) \, dx\) [823]
3.9.24 \(\int \genfrac {}{}{}{}{16+4 x-8 \log (x)}{(4 x+x^2) \log (x)} \, dx\) [824]
3.9.25 \(\int \genfrac {}{}{}{}{4+37 x+32 x^2+(-1-17 x-16 x^2) \log (1+x)+(2 x+2 x^2) \log ^2(1+x)}{16+16 x+(-8-8 x) \log (1+x)+(1+x) \log ^2(1+x)} \, dx\) [825]
3.9.26 \(\int (5+e) \, dx\) [826]
3.9.27 \(\int \genfrac {}{}{}{}{36+49 x+(-33 x-52 x^2) \log (9 x)+(6 x^2+13 x^3) \log ^2(9 x)}{4 x^3-4 x^4 \log (9 x)+x^5 \log ^2(9 x)} \, dx\) [827]
3.9.28 \(\int \genfrac {}{}{}{}{x-x \log (x)+(-4 x^6 \log (x)+4 x^5 \log ^2(x)) \log (\genfrac {}{}{}{}{-5 x+5 \log (x)}{\log (x)})+(x \log (x)-\log ^2(x)) \log (\genfrac {}{}{}{}{-5 x+5 \log (x)}{\log (x)}) \log (\log (\genfrac {}{}{}{}{-5 x+5 \log (x)}{\log (x)}))}{(-x^3 \log (x)+x^2 \log ^2(x)) \log (\genfrac {}{}{}{}{-5 x+5 \log (x)}{\log (x)})} \, dx\) [828]
3.9.29 \(\int \genfrac {}{}{}{}{(-10 x^3-2 x^4) \log ^2(8)+(10+2 x) \log ^2(8) \log (x)+(10-2 x-30 x^3+6 x^4) \log ^2(8) \log (\genfrac {}{}{}{}{x}{25-10 x+x^2})}{(45 x^{10}-9 x^{11}) \log ^3(\genfrac {}{}{}{}{x}{25-10 x+x^2})+(-135 x^7+27 x^8) \log (x) \log ^3(\genfrac {}{}{}{}{x}{25-10 x+x^2})+(135 x^4-27 x^5) \log ^2(x) \log ^3(\genfrac {}{}{}{}{x}{25-10 x+x^2})+(-45 x+9 x^2) \log ^3(x) \log ^3(\genfrac {}{}{}{}{x}{25-10 x+x^2})} \, dx\) [829]
3.9.30 \(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{e^{16-x} \log ^2(x)}{-x \log (5)+x \log (\genfrac {}{}{}{}{16}{x^2})}} ((-2 e^{16-x} \log (5)+2 e^{16-x} \log (\genfrac {}{}{}{}{16}{x^2})) \log (x)+(e^{16-x} (2+(1+x) \log (5))+e^{16-x} (-1-x) \log (\genfrac {}{}{}{}{16}{x^2})) \log ^2(x))}{x^2 \log ^2(5)-2 x^2 \log (5) \log (\genfrac {}{}{}{}{16}{x^2})+x^2 \log ^2(\genfrac {}{}{}{}{16}{x^2})} \, dx\) [830]
3.9.31 \(\int (1-6 e^9+9 e^{18}-\log (4)+(2-6 e^9) \log (x)+\log ^2(x)) \, dx\) [831]
3.9.32 \(\int \genfrac {}{}{}{}{4-x-3 e^x x}{x} \, dx\) [832]
3.9.33 \(\int (1+e^{e^{\genfrac {}{}{}{}{-1+5 e^{16+x}+e^{16} x}{e^{16}}}+\genfrac {}{}{}{}{-1+5 e^{16+x}+e^{16} x}{e^{16}}} (1+5 e^x)) \, dx\) [833]
3.9.34 \(\int \genfrac {}{}{}{}{e^x (2 x+x^2)-4 x \log (3)+2 x \log (3) \log (\log (3))}{\log (3)} \, dx\) [834]
3.9.35 \(\int -\genfrac {}{}{}{}{2 \log (-\genfrac {}{}{}{}{1}{5+x})}{5+x} \, dx\) [835]
3.9.36 \(\int \genfrac {}{}{}{}{6+2 e^8-6 e^8 \log (\genfrac {}{}{}{}{4}{x})}{(-x+e^8 x \log (\genfrac {}{}{}{}{4}{x})) \log ^2(\genfrac {}{}{}{}{-x^3+e^8 x^3 \log (\genfrac {}{}{}{}{4}{x})}{5 e^8})} \, dx\) [836]
3.9.37 \(\int \genfrac {}{}{}{}{-112-96 x^2+2 x^3+16 x^4}{x^2+x^4} \, dx\) [837]
3.9.38 \(\int \genfrac {}{}{}{}{4 x-5 x^2-8 x^3+10 x^4+(-x+2 x^3) \log (5)+(4 x-10 x^2+e^{x^2} (40-100 x-10 \log (5))-x \log (5)) \log (e^{-x^2} (10 e^{x^2}+x))}{10 e^{x^2}+x} \, dx\) [838]
3.9.39 \(\int \genfrac {}{}{}{}{4+4 x-x^2+(4+4 x-x^2) \log (\genfrac {}{}{}{}{4+4 x-x^2}{x})+\log (x) (6 x^2-x^3+(-4+5 x^2-x^3) \log (\genfrac {}{}{}{}{4+4 x-x^2}{x})) \log (\log (x))}{\log (x) (-4 x-4 x^2+x^3+(-4 x-4 x^2+x^3) \log (\genfrac {}{}{}{}{4+4 x-x^2}{x})) \log (\log (x))} \, dx\) [839]
3.9.40 \(\int \genfrac {}{}{}{}{18+6 \log (\log (\genfrac {}{}{}{}{-4+16 x^3}{9 x^3}))}{(-x+4 x^4) \log (\genfrac {}{}{}{}{-4+16 x^3}{9 x^3})} \, dx\) [840]
3.9.41 \(\int \genfrac {}{}{}{}{e^{30+8 x} (56+8 e^{10}+e^5 (24-16 x)-24 x+8 x^2)+e^{15+4 x} (-2016-8 e^{30}+2208 x-1760 x^2+800 x^3-280 x^4+56 x^5-8 x^6+e^{25} (-56+48 x)+e^{20} (-280+280 x-120 x^2)+e^{15} (-800+1120 x-560 x^2+160 x^3)+e^{10} (-1760+2400 x-1680 x^2+560 x^3-120 x^4)+e^5 (-2208+3520 x-2400 x^2+1120 x^3-280 x^4+48 x^5)) \log (3)}{7776+e^{50}+e^{45} (10-10 x)-12960 x+15120 x^2-11520 x^3+6960 x^4-3152 x^5+1160 x^6-320 x^7+70 x^8-10 x^9+x^{10}+e^{40} (70-90 x+45 x^2)+e^{35} (320-560 x+360 x^2-120 x^3)+e^{30} (1160-2240 x+1960 x^2-840 x^3+210 x^4)+e^{25} (3152-6960 x+6720 x^2-3920 x^3+1260 x^4-252 x^5)+e^{20} (6960-15760 x+17400 x^2-11200 x^3+4900 x^4-1260 x^5+210 x^6)+e^{15} (11520-27840 x+31520 x^2-23200 x^3+11200 x^4-3920 x^5+840 x^6-120 x^7)+e^{10} (15120-34560 x+41760 x^2-31520 x^3+17400 x^4-6720 x^5+1960 x^6-360 x^7+45 x^8)+e^5 (12960-30240 x+34560 x^2-27840 x^3+15760 x^4-6960 x^5+2240 x^6-560 x^7+90 x^8-10 x^9)} \, dx\) [841]
3.9.42 \(\int \genfrac {}{}{}{}{-41 x+x^2-120 x^3-72 x^5+(-19 x^2-24 x^4) \log (\genfrac {}{}{}{}{36}{x})-2 x^3 \log ^2(\genfrac {}{}{}{}{36}{x})+(-18 x-24 x^3-4 x^2 \log (\genfrac {}{}{}{}{36}{x})) \log (x)-2 x \log ^2(x)}{25+60 x^2+36 x^4+(10 x+12 x^3) \log (\genfrac {}{}{}{}{36}{x})+x^2 \log ^2(\genfrac {}{}{}{}{36}{x})+(10+12 x^2+2 x \log (\genfrac {}{}{}{}{36}{x})) \log (x)+\log ^2(x)} \, dx\) [842]
3.9.43 \(\int (-1+\log ^2(2) \log (\log (\genfrac {}{}{}{}{23}{3}))) \, dx\) [843]
3.9.44 \(\int \genfrac {}{}{}{}{128-480 x+600 x^2-154 x^3-240 x^4+150 x^5+24 x^6-30 x^7+2 x^9+e^{10} (32 x-16 x^4)}{64-240 x+300 x^2-77 x^3-120 x^4+75 x^5+12 x^6-15 x^7+x^9} \, dx\) [844]
3.9.45 \(\int \genfrac {}{}{}{}{e^2 (e^{2 x}-e^{-12+6 x-3 e^x x}) (-2 e^{2 x}+e^{-12+6 x-3 e^x x} (6+e^x (-3-3 x)))}{-e^{2 x}+e^{-12+6 x-3 e^x x}} \, dx\) [845]
3.9.46 \(\int \genfrac {}{}{}{}{-7+14 x+2 e^{-2 x/7} x+7 x \log (x)}{-7 e^{-2 x/7} x+7 x^2+(-7 x+7 x^2) \log (x)} \, dx\) [846]
3.9.47 \(\int \genfrac {}{}{}{}{-244140000-e^{12}-585938000 x-644531700 x^2-429687600 x^3-193359382 x^4-61875000 x^5-14437500 x^6-2475000 x^7-309375 x^8-27500 x^9-1650 x^{10}-60 x^{11}-x^{12}+e^8 (-1875-1500 x-450 x^2-60 x^3-3 x^4)+e^4 (-1171874-1875000 x-1312500 x^2-525000 x^3-131250 x^4-21000 x^5-2100 x^6-120 x^7-3 x^8)}{488280000 x+2 e^{12} x+1171874000 x^2+1289062200 x^3+859374960 x^4+386718748 x^5+123750000 x^6+28875000 x^7+4950000 x^8+618750 x^9+55000 x^{10}+3300 x^{11}+120 x^{12}+2 x^{13}+e^8 (3750 x+3000 x^2+900 x^3+120 x^4+6 x^5)+e^4 (2343748 x+3750000 x^2+2625000 x^3+1050000 x^4+262500 x^5+42000 x^6+4200 x^7+240 x^8+6 x^9)} \, dx\) [847]
3.9.48 \(\int \genfrac {}{}{}{}{3-x-2 e^{3/2} x^2+e^{\genfrac {}{}{}{}{3}{2}+x} (-3 x+x^2)+e^{3/2} (6 x-2 x^2) \log (-3+x)}{e^{3/2} (-3 x+x^2)} \, dx\) [848]
3.9.49 \(\int \genfrac {}{}{}{}{200+100 x+e^{6 x^2-2 x^3} (8+4 x)+e^{3 x^2-x^3} (80+40 x)+e^{\genfrac {}{}{}{}{2 (39 x+8 e^{3 x^2-x^3} x)}{20+4 e^{3 x^2-x^3}}} (100 x+195 x^2+e^{6 x^2-2 x^3} (4 x+8 x^2)+e^{3 x^2-x^3} (40 x+79 x^2+6 x^4-3 x^5))+e^{\genfrac {}{}{}{}{39 x+8 e^{3 x^2-x^3} x}{20+4 e^{3 x^2-x^3}}} (-200-590 x-195 x^2+e^{6 x^2-2 x^3} (-8-24 x-8 x^2)+e^{3 x^2-x^3} (-80-238 x-79 x^2-12 x^3+3 x^5))}{50+2 e^{6 x^2-2 x^3}+20 e^{3 x^2-x^3}} \, dx\) [849]
3.9.50 \(\int -\genfrac {}{}{}{}{288 e^{15} x^2}{e^{30}+32 e^{15} x^3+256 x^6} \, dx\) [850]
3.9.51 \(\int e^{(4 x+3 x^2+4 x^3) \log (2)-3 x \log (2) \log (4)} ((4+6 x+12 x^2) \log (2)-3 \log (2) \log (4)) \, dx\) [851]
3.9.52 \(\int e^{-18-2 e^6-2 e^3 (2-2 x)+6 x-2 x^2} (1-e^{18+2 e^6+2 e^3 (2-2 x)-6 x+2 x^2}+6 x+4 e^3 x-4 x^2) \, dx\) [852]
3.9.53 \(\int \genfrac {}{}{}{}{-6 x-16 x^3+e^{10} (1-6 x+4 x^2-16 x^3)+e^5 (12 x+32 x^3)}{1-2 e^5+e^{10}} \, dx\) [853]
3.9.54 \(\int \genfrac {}{}{}{}{6+2 \log (4)+(3+3 x+(1+x) \log (4)) \log (x^2)}{x \log (x^2)} \, dx\) [854]
3.9.55 \(\int \genfrac {}{}{}{}{-900+300 x+(462 x-4 x^2) \log (4)-6 x^2 \log ^2(4)+((-462 x+154 x^2) \log (4)+(12 x^2-2 x^3) \log ^2(4)) \log (-3+x)+(-6 x^2+2 x^3) \log ^2(4) \log ^2(-3+x)+(-12+4 x+6 x \log (4)+(-6 x+2 x^2) \log (4) \log (-3+x)) \log (9 x^2)}{-1875 x+625 x^2} \, dx\) [855]
3.9.56 \(\int \genfrac {}{}{}{}{-20 x+85 x^2-63 x^3-33 x^4+x^6+(-40 x+x^2+86 x^3-2 x^5) \log (x)+(32 x-48 x^2+x^4) \log ^2(x)}{800+880 x+242 x^2-80 x^3-44 x^4+2 x^6+(-1280-704 x+80 x^2+108 x^3-4 x^5) \log (x)+(512-64 x^2+2 x^4) \log ^2(x)} \, dx\) [856]
3.9.57 \(\int \genfrac {}{}{}{}{e^{\log ^2(\genfrac {}{}{}{}{900 x^4+60 x^2 \log (x)+\log ^2(x)}{100 x^4})} (-30 e x^3-e x \log (x)+(e (16-4 x)+e (-32+8 x) \log (x)) \log (\genfrac {}{}{}{}{900 x^4+60 x^2 \log (x)+\log ^2(x)}{100 x^4}))}{30 x^3+x \log (x)} \, dx\) [857]
3.9.58 \(\int \genfrac {}{}{}{}{-12+6 x-2 x^6+e^2 (-20 x^4-40 x^5-20 x^6)+e^4 (-10 x^2-40 x^3-60 x^4-40 x^5-10 x^6)+e^5 (2 x+10 x^2+20 x^3+20 x^4+10 x^5+2 x^6)+e (14-6 x+10 x^5+10 x^6)+e^3 (20 x^3+60 x^4+60 x^5+20 x^6)}{-x^5+e^2 (-10 x^3-20 x^4-10 x^5)+e^4 (-5 x-20 x^2-30 x^3-20 x^4-5 x^5)+e^5 (1+5 x+10 x^2+10 x^3+5 x^4+x^5)+e (5 x^4+5 x^5)+e^3 (10 x^2+30 x^3+30 x^4+10 x^5)} \, dx\) [858]
3.9.59 \(\int \genfrac {}{}{}{}{e^{-x} (e^x (-4+2 x+17 x^2)+e (-64 x^2+32 x^3-4 x^4))}{64 x^2-32 x^3+4 x^4} \, dx\) [859]
3.9.60 \(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{x}{3 e^2}}}{(12 e^2+3 e^{2+\genfrac {}{}{}{}{x}{3 e^2}}) \log (4+e^{\genfrac {}{}{}{}{x}{3 e^2}})} \, dx\) [860]
3.9.61 \(\int \genfrac {}{}{}{}{6 x^2+10 x^3+(4 x+20 x^2) \log (400)+10 x \log ^2(400)}{4+20 x+25 x^2+(20+50 x) \log (400)+25 \log ^2(400)} \, dx\) [861]
3.9.62 \(\int \genfrac {}{}{}{}{-x^2+x^3+e^{-1+x} (2 x-2 x^2) \log (4)+e^{-2+2 x} (-1+x) \log ^2(4)+(9 x+3 x^2+3 x^3+x^4+e^{-1+x} (-6 x-11 x^2-3 x^3) \log (4)+e^{-2+2 x} (3 x+x^2) \log ^2(4)+(-3 x-x^3+e^{-1+x} (2 x+3 x^2) \log (4)-e^{-2+2 x} x \log ^2(4)) \log (x)) \log (3+x-\log (x))}{(-3 x^3-x^4+e^{-1+x} (6 x^2+2 x^3) \log (4)+e^{-2+2 x} (-3 x-x^2) \log ^2(4)+(x^3-2 e^{-1+x} x^2 \log (4)+e^{-2+2 x} x \log ^2(4)) \log (x)) \log (3+x-\log (x))} \, dx\) [862]
3.9.63 \(\int \genfrac {}{}{}{}{-9-24 x^2+4 x^3+e^{x^2} (-3+6 x^2)-24 x^2 \log (x)}{24 x^2} \, dx\) [863]
3.9.64 \(\int \genfrac {}{}{}{}{4 e^4 x+24 e^2 x \log (5)+32 x \log ^2(5)+(6 e^4 x+16 e^2 x \log (5)) \log (2 x)+2 e^4 x \log ^2(2 x)}{e^4} \, dx\) [864]
3.9.65 \(\int (6+5 e^{e^x+x}+2 x) \, dx\) [865]
3.9.66 \(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{1+e^3}{4+e^x-x}} (e^x (-1-e^3) \log (4)+(1+e^3) \log (4))}{32+2 e^{2 x}+e^x (16-4 x)-16 x+2 x^2} \, dx\) [866]
3.9.67 \(\int \genfrac {}{}{}{}{1}{8} (12+16 e^{5+2 e^{5+x}+x}+x+e^{e^{5+x}} (4+e^{5+x} (48+4 x))) \, dx\) [867]
3.9.68 \(\int \genfrac {}{}{}{}{10-5 \log (\log (6))}{x \log ^2(x)} \, dx\) [868]
3.9.69 \(\int \genfrac {}{}{}{}{e^5 (-10-2 x+10 x^2+2 x^3)+e^{10} (10-8 x-2 x^2) \log ^2(5+x)+\log (\genfrac {}{}{}{}{3 e^x}{x}) (e^5 (-10 x-2 x^2)+4 e^{10} x \log (5+x))}{5 x+11 x^2+7 x^3+x^4+e^5 (-10 x-12 x^2-2 x^3) \log ^2(5+x)+e^{10} (5 x+x^2) \log ^4(5+x)} \, dx\) [869]
3.9.70 \(\int \genfrac {}{}{}{}{e^2 (-1-2 x)+6 x+14 x^2+4 x^3+(e^2-6 x-2 x^2) \log (\genfrac {}{}{}{}{-e^2+6 x+2 x^2}{2 x})+\log (x) (-3 e^2+12 x+2 x^2+(e^2-6 x-2 x^2) \log (\genfrac {}{}{}{}{-e^2+6 x+2 x^2}{2 x}))}{e^2-6 x-2 x^2} \, dx\) [870]
3.9.71 \(\int \genfrac {}{}{}{}{-75+140 x+20 x^3+e^{2 x} (-3 x^2+9 x^4+6 x^5)+e^x (30 x-29 x^2-61 x^3-4 x^4-x^5+x^6)}{25+e^x (-10 x-10 x^2)+e^{2 x} (x^2+2 x^3+x^4)} \, dx\) [871]
3.9.72 \(\int \genfrac {}{}{}{}{1}{10} e^{-x} (-10+4 x-x^2+(-4 x+2 x^2) \log (3)) \, dx\) [872]
3.9.73 \(\int \genfrac {}{}{}{}{18-36 x+e^{x^2} (-18-36 x^2)}{-729-243 x+216 x^2+53 x^3+e^{3 x^2} x^3-24 x^4-3 x^5+x^6+(-243-54 x+51 x^2+6 x^3-3 x^4) \log (4)+(-27-3 x+3 x^2) \log ^2(4)-\log ^3(4)+e^{2 x^2} (-27 x^2-3 x^3+3 x^4-3 x^2 \log (4))+e^{x^2} (243 x+54 x^2-51 x^3-6 x^4+3 x^5+(54 x+6 x^2-6 x^3) \log (4)+3 x \log ^2(4))} \, dx\) [873]
3.9.74 \(\int \genfrac {}{}{}{}{4-9 x-4 e^{-2+x} x+(-4 e^{-2+x}-9 x+4 \log (x)) \log (\genfrac {}{}{}{}{1}{4} (4 e^{-2+x}+9 x-4 \log (x)))+(4 e^{-2+x}+9 x-4 \log (x)) \log (\genfrac {}{}{}{}{1}{4} (4 e^{-2+x}+9 x-4 \log (x))) \log (x \log (\genfrac {}{}{}{}{1}{4} (4 e^{-2+x}+9 x-4 \log (x))))}{(-4 e^{-2+x} x^2-9 x^3+4 x^2 \log (x)) \log (\genfrac {}{}{}{}{1}{4} (4 e^{-2+x}+9 x-4 \log (x)))} \, dx\) [874]
3.9.75 \(\int \genfrac {}{}{}{}{15 2^{1-2 e^{e^2}} e^{e^2} (6-2 e^6-3 x)^{2 e^{e^2}}}{-6+2 e^6+3 x} \, dx\) [875]
3.9.76 \(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{-x^3+\log (\genfrac {}{}{}{}{x^4}{\log ^2(x)})+x \log (\genfrac {}{}{}{}{\log (3 x)}{\log (x)})}{-x^2+\log (\genfrac {}{}{}{}{\log (3 x)}{\log (x)})}} ((2 x^2+(-4 x^2+x^5) \log (x)) \log (3 x)+(-\log (x)+(1+2 x^2 \log (x)) \log (3 x)) \log (\genfrac {}{}{}{}{x^4}{\log ^2(x)})+(-2+(4-2 x^3) \log (x)) \log (3 x) \log (\genfrac {}{}{}{}{\log (3 x)}{\log (x)})+x \log (x) \log (3 x) \log ^2(\genfrac {}{}{}{}{\log (3 x)}{\log (x)}))}{x^5 \log (x) \log (3 x)-2 x^3 \log (x) \log (3 x) \log (\genfrac {}{}{}{}{\log (3 x)}{\log (x)})+x \log (x) \log (3 x) \log ^2(\genfrac {}{}{}{}{\log (3 x)}{\log (x)})} \, dx\) [876]
3.9.77 \(\int \genfrac {}{}{}{}{300 x-100 x^2+e^x (-60+20 x)+e^{3 x} (-6 x-3 x^2-5 x^3+2 x^4)+e^{2 x} (55 x^3+15 x^4-10 x^5)+(e^{3 x} (6+6 x+10 x^2-4 x^3)+e^{2 x} (-70 x^2-40 x^3+20 x^4)) \log (\genfrac {}{}{}{}{e^x (-3+x)+15 x-5 x^2}{x})+(e^{3 x} (-3-5 x+2 x^2)+e^{2 x} (15 x+25 x^2-10 x^3)) \log ^2(\genfrac {}{}{}{}{e^x (-3+x)+15 x-5 x^2}{x})}{300 x-100 x^2+e^x (-60+20 x)} \, dx\) [877]
3.9.78 \(\int \genfrac {}{}{}{}{-4 e^4+2 x^2-4 x \log (625)+2 \log ^2(625)}{x^2-2 x \log (625)+\log ^2(625)} \, dx\) [878]
3.9.79 \(\int (1+512 e^{2 x}+e^x (-192-192 x)+72 x) \, dx\) [879]
3.9.80 \(\int e^{-5+x^2} (-4 x+e^5 (1-12 x-2 e x+2 e^3 x+2 x^2)) \, dx\) [880]
3.9.81 \(\int \genfrac {}{}{}{}{11264+83968 x+107520 x^2+50688 x^3+8192 x^4+(2304+14592 x+12864 x^2+3072 x^3) \log (5)+(144+840 x+384 x^2) \log ^2(5)+(3+16 x) \log ^3(5)}{32768+49152 x+24576 x^2+4096 x^3+(6144+6144 x+1536 x^2) \log (5)+(384+192 x) \log ^2(5)+8 \log ^3(5)} \, dx\) [881]
3.9.82 \(\int e^{-24 x^2} (12 x^3 \log ^3(x^3)+(4 x^3-48 x^5) \log ^4(x^3)) \, dx\) [882]
3.9.83 \(\int \genfrac {}{}{}{}{-16-7 x+31 x^2+8 x^3-16 x^4+(-16-31 x^2-16 x^3+48 x^4) \log (x)}{x^2 \log ^2(x)} \, dx\) [883]
3.9.84 \(\int \genfrac {}{}{}{}{200 x+120 x^2-22 x^3-12 x^4+2 x^5+(-60 x^2+22 x^3+18 x^4-4 x^5) \log (x)+(-400 x-360 x^2+88 x^3+60 x^4-12 x^5) \log ^2(x)+(-200 x-180 x^2+44 x^3+30 x^4-6 x^5) \log ^3(x)}{3 \log ^3(x)} \, dx\) [884]
3.9.85 \(\int \genfrac {}{}{}{}{x^{-\genfrac {}{}{}{}{25}{-84+8 x+x^2+e^{-4-2 x+2 x^2} x^2+e^{-2-x+x^2} x (8+2 x)}} (2100-200 x-25 x^2+(200 x+50 x^2) \log (x)+e^{-4-2 x+2 x^2} x^2 (-25+(50-50 x+100 x^2) \log (x))+e^{-2-x+x^2} x (-200-50 x+(200-100 x+350 x^2+100 x^3) \log (x)))}{7056 x-1344 x^2-104 x^3+16 x^4+x^5+e^{-8-4 x+4 x^2} x^5+e^{-6-3 x+3 x^2} x^3 (16 x+4 x^2)+e^{-4-2 x+2 x^2} x^2 (-104 x+48 x^2+6 x^3)+e^{-2-x+x^2} x (-1344 x-208 x^2+48 x^3+4 x^4)} \, dx\) [885]
3.9.86 \(\int \log (2) \, dx\) [886]
3.9.87 \(\int \genfrac {}{}{}{}{-10+e^x (2-x)}{-5 x+e^x x} \, dx\) [887]
3.9.88 \(\int \genfrac {}{}{}{}{3 x^2+x^3+e^{x+x^2} (-6 x+6 x^2+21 x^3+6 x^4)+(6 x+2 x^2+e^{x+x^2} (9 x+21 x^2+6 x^3)) \log (\genfrac {}{}{}{}{2}{e^{5/3} (3+x)})+(3+x) \log ^2(\genfrac {}{}{}{}{2}{e^{5/3} (3+x)})}{3 x^3+x^4+(6 x^2+2 x^3) \log (\genfrac {}{}{}{}{2}{e^{5/3} (3+x)})+(3 x+x^2) \log ^2(\genfrac {}{}{}{}{2}{e^{5/3} (3+x)})} \, dx\) [888]
3.9.89 \(\int \genfrac {}{}{}{}{4 e^{10}+3 x^2+e^5 (-1+7 x)}{4 e^{10}+7 e^5 x+3 x^2} \, dx\) [889]
3.9.90 \(\int \genfrac {}{}{}{}{(-e^{2 x}+3 e^x x-2 x^2) \log (\genfrac {}{}{}{}{e^{2 x} x-2 e^x x^2}{e^{2 x}-2 e^x x+x^2})+(e^{2 x}-3 e^x x+2 x^3) \log (x) \log (\log (x))+(e^{2 x}-3 e^x x+2 x^2) \log (x) \log (\genfrac {}{}{}{}{e^{2 x} x-2 e^x x^2}{e^{2 x}-2 e^x x+x^2}) \log (\log (x)) \log (\genfrac {}{}{}{}{\log (\genfrac {}{}{}{}{e^{2 x} x-2 e^x x^2}{e^{2 x}-2 e^x x+x^2})}{\log (\log (x))})}{(e^{2 x}-3 e^x x+2 x^2) \log (x) \log (\genfrac {}{}{}{}{e^{2 x} x-2 e^x x^2}{e^{2 x}-2 e^x x+x^2}) \log (\log (x))} \, dx\) [890]
3.9.91 \(\int \genfrac {}{}{}{}{-2-x+x^2+3 \log (x)}{(-x^2-x^3+x \log (x)) \log (\genfrac {}{}{}{}{4 x^3}{x^2+2 x^3+x^4+(-2 x-2 x^2) \log (x)+\log ^2(x)})} \, dx\) [891]
3.9.92 \(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{1}{e^2}} (50-10 x)+e^x (10-2 x)+(5 e^{\genfrac {}{}{}{}{1}{e^2}} x+e^x (-4 x+x^2)) \log (x)}{5 x \log ^3(x)} \, dx\) [892]
3.9.93 \(\int (2+e^x-2 x) \, dx\) [893]
3.9.94 \(\int \genfrac {}{}{}{}{-60 e^{\genfrac {}{}{}{}{19}{9}+\genfrac {}{}{}{}{20 e^2}{x}}+x^2}{3 \sqrt [9]{e} x^2+3 e^{\genfrac {}{}{}{}{1}{9}+\genfrac {}{}{}{}{20 e^2}{x}} x^2+x^3} \, dx\) [894]
3.9.95 \(\int (-3 x^2+e^{1-4 x+\log ^2(\log (3))} (2 x-4 x^2)) \, dx\) [895]
3.9.96 \(\int \genfrac {}{}{}{}{3+e+e^x (9+e^2+36 x+36 x^2+e (6+12 x))}{-27-3 e^2+e (-18-35 x)-105 x-102 x^2+e^x (9+e^2+36 x+36 x^2+e (6+12 x))} \, dx\) [896]
3.9.97 \(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{67837+6 x-3 x^2}{768 x}} (-67837-3 x^2)}{3072 x^2} \, dx\) [897]
3.9.98 \(\int \genfrac {}{}{}{}{18+e^x (-8-4 x)-6 x-6 \log (\genfrac {}{}{}{}{3}{2})+e^x (36-4 x^2-(12+4 x) \log (\genfrac {}{}{}{}{3}{2})) \log (3-x-\log (\genfrac {}{}{}{}{3}{2}))}{9-3 x-3 \log (\genfrac {}{}{}{}{3}{2})} \, dx\) [898]
3.9.99 \(\int (6 e^{3 x}+\genfrac {}{}{}{}{6 x^2}{e^5}) \, dx\) [899]
3.9.100 \(\int \genfrac {}{}{}{}{-90 x^2-18 x^3-2 x^4-2 x^3 \log (x)+(-10 x^2+18 x^3+4 x^4+(30 x^2+6 x^3) \log (x)) \log (5+x)}{45+9 x+(-30 x-6 x^2+(-30-6 x) \log (x)) \log (5+x)+(5 x^2+x^3+(10 x+2 x^2) \log (x)+(5+x) \log ^2(x)) \log ^2(5+x)} \, dx\) [900]