3.1 Integrals 1 to 100
3.1.1 \(\int \genfrac {}{}{}{}{-3744 x+6 x^2+e^{\genfrac {}{}{}{}{2 (15+x)}{3}} (-1250+2 x)+e^{\genfrac {}{}{}{}{15+x}{3}} (-3744-1244 x+2 x^2)+(-3744+6 x+e^{\genfrac {}{}{}{}{15+x}{3}} (-1250+2 x)) \log (625-x)}{-1875+3 x} \, dx\) [1]
3.1.2 \(\int \genfrac {}{}{}{}{1}{25} (-26-25 e^x+25 \log (3)) \, dx\) [2]
3.1.3 \(\int \genfrac {}{}{}{}{128-192 x-16 x^3}{(16 x-48 x^2+21 x^3+4 x^4) \log ^2(\genfrac {}{}{}{}{-16+48 x-21 x^2-4 x^3}{9 x^2})} \, dx\) [3]
3.1.4 \(\int \genfrac {}{}{}{}{25^{-\genfrac {}{}{}{}{1}{\log (\genfrac {}{}{}{}{2+x}{2})}} (25 x+e^{2 x} x)^{\genfrac {}{}{}{}{1}{\log (\genfrac {}{}{}{}{2+x}{2})}} ((50+25 x+e^{2 x} (2+5 x+2 x^2)) \log (\genfrac {}{}{}{}{2+x}{2})+(-25 x-e^{2 x} x) \log (\genfrac {}{}{}{}{1}{25} (25 x+e^{2 x} x)))}{(50 x+25 x^2+e^{2 x} (2 x+x^2)) \log ^2(\genfrac {}{}{}{}{2+x}{2})} \, dx\) [4]
3.1.5 \(\int \genfrac {}{}{}{}{12 e^{4+x}-\genfrac {}{}{}{}{1}{2} e^{8+2 x}}{144+\genfrac {}{}{}{}{1}{4} e^{4+x} (96-24 e+48 x)+\genfrac {}{}{}{}{1}{16} e^{8+2 x} (16+e^2+e (-8-4 x)+16 x+4 x^2)} \, dx\) [5]
3.1.6 \(\int e^{13+e^x-2 x-x^2} (e^{2 x}+e^{-13-e^x+2 x+x^2}+e^x (-1-2 x)) \, dx\) [6]
3.1.7 \(\int \genfrac {}{}{}{}{-20 x-4 x^3+3 x^2 \log (e^{2 x+\genfrac {}{}{}{}{2 (-5+2 x)}{x}})}{\log ^3(e^{2 x+\genfrac {}{}{}{}{2 (-5+2 x)}{x}})} \, dx\) [7]
3.1.8 \(\int -\genfrac {}{}{}{}{1}{-2+e-x} \, dx\) [8]
3.1.9 \(\int \genfrac {}{}{}{}{2-2 x}{x} \, dx\) [9]
3.1.10 \(\int \genfrac {}{}{}{}{(-15+x^2) \log (x^2)+(180+24 x-12 x^2) \log (\log (x^2))+(-45-3 x^2) \log (x^2) \log ^2(\log (x^2))}{(225-240 x+94 x^2-16 x^3+x^4) \log (x^2)+(1350-540 x-96 x^2+60 x^3-6 x^4) \log (x^2) \log ^2(\log (x^2))+(2025+540 x-234 x^2-36 x^3+9 x^4) \log (x^2) \log ^4(\log (x^2))} \, dx\) [10]
3.1.11 \(\int (64 e^{4 x}-16 e^{e^{e^{e^x}}+e^{e^x}+e^x+x}) \, dx\) [11]
3.1.12 \(\int \genfrac {}{}{}{}{18-9 x+(-2+x) \log (4-2 x)+2 \log ^2(2) \log (\genfrac {}{}{}{}{1}{5} (9-\log (4-2 x)))}{18-9 x+(-2+x) \log (4-2 x)} \, dx\) [12]
3.1.13 \(\int \genfrac {}{}{}{}{e^{-1+e^{\genfrac {}{}{}{}{1}{x}}-x} (-e^{\genfrac {}{}{}{}{1}{x}}-x^2)}{x^2} \, dx\) [13]
3.1.14 \(\int \genfrac {}{}{}{}{e^{-16-16 x} (-32 e^{2+2 x} x^{21}+3 x^{24}-2 x^{25}+(7168 e^{4+4 x} x^{18}+e^{2+2 x} (-672 x^{21}+448 x^{22})) \log (x)+(-688128 e^{6+6 x} x^{15}+e^{4+4 x} (64512 x^{18}-43008 x^{19})) \log ^2(x)+(36700160 e^{8+8 x} x^{12}+e^{6+6 x} (-3440640 x^{15}+2293760 x^{16})) \log ^3(x)+(-1174405120 e^{10+10 x} x^9+e^{8+8 x} (110100480 x^{12}-73400320 x^{13})) \log ^4(x)+(22548578304 e^{12+12 x} x^6+e^{10+10 x} (-2113929216 x^9+1409286144 x^{10})) \log ^5(x)+(-240518168576 e^{14+14 x} x^3+e^{12+12 x} (22548578304 x^6-15032385536 x^7)) \log ^6(x)+(1099511627776 e^{16+16 x}+e^{14+14 x} (-103079215104 x^3+68719476736 x^4)) \log ^7(x))}{2097152 x} \, dx\) [14]
3.1.15 \(\int e^{25+e^2-3 x-x^2} x (2-3 x-2 x^2) \, dx\) [15]
3.1.16 \(\int (17+2 x-2 \log (x)-\log ^2(x)) \, dx\) [16]
3.1.17 \(\int \genfrac {}{}{}{}{-12 e^{e^x}+(-6 x+6 x \log (3)) \log (x^2)-6 e^{e^x+x} x \log (x^2) \log (\log (x^2))+((3 x-3 x \log (3)) \log (x^2)+3 e^{e^x} \log (x^2) \log (\log (x^2))) \log (x-x \log (3)+e^{e^x} \log (\log (x^2)))}{((x-x \log (3)) \log (x^2)+e^{e^x} \log (x^2) \log (\log (x^2))) \log ^3(x-x \log (3)+e^{e^x} \log (\log (x^2)))} \, dx\) [17]
3.1.18 \(\int \genfrac {}{}{}{}{1}{6} (1+18 e^{3 x}+6 e^{6 x}+4 e^{2 x^2} x+e^{x^2} (12 x+e^{3 x} (6+4 x))) \, dx\) [18]
3.1.19 \(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{1}{9} (36 x-96 x^2+100 x^3-48 x^4+9 x^5)} (12-64 x+100 x^2-64 x^3+15 x^4)}{3-6 e^{\genfrac {}{}{}{}{1}{9} (36 x-96 x^2+100 x^3-48 x^4+9 x^5)}+3 e^{\genfrac {}{}{}{}{2}{9} (36 x-96 x^2+100 x^3-48 x^4+9 x^5)}} \, dx\) [19]
3.1.20 \(\int \genfrac {}{}{}{}{e^{9+x^2+\log (x) \log (x^5 \log ^2(4))} (2 x^2+5 \log (x)+\log (x^5 \log ^2(4)))}{x} \, dx\) [20]
3.1.21 \(\int (2 e^{-2+2 x}+2 x-6 x^2+4 x^3+e^{-1+x} (2-2 x-2 x^2)) \, dx\) [21]
3.1.22 \(\int \genfrac {}{}{}{}{-216+216 x-54 x^2+e^x (36-144 x+99 x^2-18 x^3)+(-108+216 x-81 x^2) \log (9)+(108-216 x+81 x^2) \log (x)}{e^{3 x}-9 e^{2 x} \log (9)+27 e^x \log ^2(9)-27 \log ^3(9)+(9 e^{2 x}-54 e^x \log (9)+81 \log ^2(9)) \log (x)+(27 e^x-81 \log (9)) \log ^2(x)+27 \log ^3(x)} \, dx\) [22]
3.1.23 \(\int \genfrac {}{}{}{}{e^3-x+4 x^2+(-8 x^2-24 x^3-16 x^4) \log (3)}{x} \, dx\) [23]
3.1.24 \(\int \genfrac {}{}{}{}{8-8 x+2 x^2+e^{\genfrac {}{}{}{}{-3 x+x^2}{-2+x}} (-156 x+104 x^2-26 x^3)+e^{\genfrac {}{}{}{}{-3 x+x^2}{-2+x}} (6 x-4 x^2+x^3) \log (x)}{-104 x+104 x^2-26 x^3+(4 x-4 x^2+x^3) \log (x)} \, dx\) [24]
3.1.25 \(\int \genfrac {}{}{}{}{(\genfrac {}{}{}{}{16}{e^{25}}+x) \log (\genfrac {}{}{}{}{16}{e^{25}}+x)+(\genfrac {}{}{}{}{16 x}{e^{25}}+x^2) \log (x) \log ^2(\genfrac {}{}{}{}{16}{e^{25}}+x)+(-x \log (x)+(-\genfrac {}{}{}{}{16}{e^{25}}-x) \log (x) \log (\genfrac {}{}{}{}{16}{e^{25}}+x)) \log (\log (x))}{(\genfrac {}{}{}{}{16 x^2}{e^{25}}+x^3) \log (x) \log ^2(\genfrac {}{}{}{}{16}{e^{25}}+x)} \, dx\) [25]
3.1.26 \(\int \genfrac {}{}{}{}{4+e^{2 x} x+144 x^2+(-4+144 x^2+2 e^{2 x} x^2) \log (x)}{144 x^2} \, dx\) [26]
3.1.27 \(\int \genfrac {}{}{}{}{(6 x-2 e^5 x) \log (x^2)}{25 \log (7)+50 \log (7) \log (x^2)+25 \log (7) \log ^2(x^2)} \, dx\) [27]
3.1.28 \(\int \genfrac {}{}{}{}{e^{-\genfrac {}{}{}{}{2 \log ^2(x)}{-8 x+2 x^2+3 e^{4+x} x^2-4 x^3}} ((32-8 x-12 e^{4+x} x+16 x^2) \log (x)+(-16+8 x-24 x^2+e^{4+x} (12 x+6 x^2)) \log ^2(x))}{64 x^2-32 x^3+68 x^4+9 e^{8+2 x} x^4-16 x^5+16 x^6+e^{4+x} (-48 x^3+12 x^4-24 x^5)} \, dx\) [28]
3.1.29 \(\int \genfrac {}{}{}{}{e^{-x} (-x^2+(8 x^2-x^3+(-1-x) \log (2)) \log (x)+(-x^2+x^3) \log (x) \log (\log (x)))}{x^2 \log (x)} \, dx\) [29]
3.1.30 \(\int \genfrac {}{}{}{}{x^2+2 e^x x^2+e^{2 x} (-1+2 x)+e^{e^{10}} (1+2 e^{2 x}+2 x+e^x (2+2 x))}{(e^{2 x} x+x^2+2 e^x x^2+x^3+e^{e^{10}} (e^{2 x}+x+2 e^x x+x^2)) \log (\genfrac {}{}{}{}{e^{2 x}+x+2 e^x x+x^2}{e^{e^{10}}+x})} \, dx\) [30]
3.1.31 \(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{4+(1+x) \log (\genfrac {}{}{}{}{x^2}{7})+\log (\genfrac {}{}{}{}{x^2}{7}) \log (\log (4+x))}{\log (\genfrac {}{}{}{}{x^2}{7})}} ((-32-8 x) \log (4+x)+\log ^2(\genfrac {}{}{}{}{x^2}{7}) (x+(4 x+x^2) \log (4+x)))}{(4 x+x^2) \log ^2(\genfrac {}{}{}{}{x^2}{7}) \log (4+x)} \, dx\) [31]
3.1.32 \(\int \genfrac {}{}{}{}{-3+e^{2 x} (-48-96 x)+6 e^{x^2} x}{3125+125 e^{2 x^2}-1250 x+125 x^2+32000 e^{4 x} x^2+e^{x^2} (1250-250 x-4000 e^{2 x} x)+e^{2 x} (-20000 x+4000 x^2)} \, dx\) [32]
3.1.33 \(\int e^{12+16 x+7 x^2+x^3} (64+56 x+12 x^2) \, dx\) [33]
3.1.34 \(\int \genfrac {}{}{}{}{e^4 (18+72 x-63 x^2+9 x^3)}{32-32 x-24 x^2+32 x^3-8 x^5+2 x^6} \, dx\) [34]
3.1.35 \(\int \genfrac {}{}{}{}{-e^x-x+e^{4+x+8 x^2} (-6+9 x+144 x^2+e^x (3+144 x))+e^{4+x+8 x^2} (2+e^x (-4-96 x)-6 x-96 x^2) \log (e^x+x)+e^{4+x+8 x^2} (x+16 x^2+e^x (1+16 x)) \log ^2(e^x+x)}{e^x+x} \, dx\) [35]
3.1.36 \(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{-5760-40 e^x+9 x^2}{40 e^x-9 x^2}} (230400 e^x-103680 x)}{1600 e^{2 x}-720 e^x x^2+81 x^4} \, dx\) [36]
3.1.37 \(\int \genfrac {}{}{}{}{e^{51 x^2} (-1+2 x+101 x^2-204 x^3+102 x^4)+e^{x^2} (-10 x^3+5 x^4-10 x^5+10 x^6)}{x^2-2 x^3+x^4} \, dx\) [37]
3.1.38 \(\int \genfrac {}{}{}{}{-614656-87808 \log (2)-4704 \log ^2(2)-112 \log ^3(2)-\log ^4(2)+(-614656-87808 \log (2)-4704 \log ^2(2)-112 \log ^3(2)-\log ^4(2)) \log (x)}{1024 x^5 \log ^5(x)} \, dx\) [38]
3.1.39 \(\int \genfrac {}{}{}{}{(-15 x+11 x^2-2 x^3+e^x (3 x-x^2))^x (-15+22 x-6 x^2+e^x (3+x-x^2)+(-15+e^x (3-x)+11 x-2 x^2) \log (-15 x+11 x^2-2 x^3+e^x (3 x-x^2)))}{240-176 x+32 x^2+e^x (-48+16 x)+(-120+e^x (24-8 x)+88 x-16 x^2) (-15 x+11 x^2-2 x^3+e^x (3 x-x^2))^x+(15+e^x (-3+x)-11 x+2 x^2) (-15 x+11 x^2-2 x^3+e^x (3 x-x^2))^{2 x}} \, dx\) [39]
3.1.40 \(\int \genfrac {}{}{}{}{(8-2 x) \log (x)+4 \log ^2(x)-60 \log ^4(x)+e^{\genfrac {}{}{}{}{-3+2 \log (x)}{\log (x)}} (3-2 \log (x)-46 \log ^2(x)+15 \log ^4(x))}{(4 x-x^2) \log ^2(x)+(-60 x+15 x^2) \log ^4(x)+e^{\genfrac {}{}{}{}{-3+2 \log (x)}{\log (x)}} (-x \log ^2(x)+15 x \log ^4(x))} \, dx\) [40]
3.1.41 \(\int \genfrac {}{}{}{}{-4+x^{.\genfrac {}{}{}{}{1}{2}/x} (-1+\log (x))+2 \log (\genfrac {}{}{}{}{x^2}{5})}{2 x^2} \, dx\) [41]
3.1.42 \(\int \genfrac {}{}{}{}{-320 e^{4 x}+1280 e^{4 x} x \log (x)-40 x \log ^2(x)+20 e^{e^x+x} x \log ^2(x)+(-64 e^{4 x}+256 e^{4 x} x \log (x)-8 x \log ^2(x)+4 e^{e^x+x} x \log ^2(x)) \log (\genfrac {}{}{}{}{256 e^{8 x}-64 e^{4 x} x \log (x)+e^{2 e^x} \log ^2(x)+4 x^2 \log ^2(x)+e^{e^x} (32 e^{4 x} \log (x)-4 x \log ^2(x))}{\log ^2(x)})}{16 e^{4 x} x \log (x)+e^{e^x} x \log ^2(x)-2 x^2 \log ^2(x)} \, dx\) [42]
3.1.43 \(\int \genfrac {}{}{}{}{-6-12 x^2+2 x^3+e^4 (2+4 x^2)}{-6 x+2 e^4 x+x^2} \, dx\) [43]
3.1.44 \(\int \genfrac {}{}{}{}{6+4 x-x^2-4 \log ^4(2)}{4-4 x+x^2} \, dx\) [44]
3.1.45 \(\int \genfrac {}{}{}{}{12 \log (3)-4 e^x \log (3)-e^x x \log (3) \log (x)+(-54+36 e^x-6 e^{2 x}) \log ^5(x)}{(54 x-36 e^x x+6 e^{2 x} x) \log ^5(x)} \, dx\) [45]
3.1.46 \(\int \genfrac {}{}{}{}{-4-\log (x)}{25-10 x+x^2+(10-2 x) \log (x)+\log ^2(x)} \, dx\) [46]
3.1.47 \(\int \genfrac {}{}{}{}{1}{144} (143-e^x-576 e^{3+4 e^x+x}) \, dx\) [47]
3.1.48 \(\int \genfrac {}{}{}{}{1}{5} e^{e^{e^x x}+x+e^x x} (-1-x) \, dx\) [48]
3.1.49 \(\int \genfrac {}{}{}{}{-2+\log (3)}{(-2 x-x^2+x \log (3)) \log (-\genfrac {}{}{}{}{3 x}{-10-5 x+5 \log (3)+(-2-x+\log (3)) \log (5)})} \, dx\) [49]
3.1.50 \(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{8-8 x-8 x^3+8 x^4+e^{2 x} (-8 x^2+8 x^3)}{e^{2 x} x^2+x^3}} (-24 x+16 x^2+8 e^{4 x} x^3+8 x^5+e^{2 x} (-16-8 x+16 x^2+16 x^4))}{e^{4 x} x^3+2 e^{2 x} x^4+x^5} \, dx\) [50]
3.1.51 \(\int \genfrac {}{}{}{}{(-3+6 x-3 x^2+e^{\genfrac {}{}{}{}{2 e^e x}{-1+x}} (1-2 x+x^2)) \log (9-6 e^{\genfrac {}{}{}{}{2 e^e x}{-1+x}}+e^{\genfrac {}{}{}{}{4 e^e x}{-1+x}})+e^{\genfrac {}{}{}{}{2 e^e x}{-1+x}} (e^e (-16-8 x)+e^e (-8-4 x) \log (\genfrac {}{}{}{}{2+x}{5}))}{-6+9 x-3 x^3+e^{\genfrac {}{}{}{}{2 e^e x}{-1+x}} (2-3 x+x^3)} \, dx\) [51]
3.1.52 \(\int \genfrac {}{}{}{}{-4+e^{e^{2 x}+2 x} (2-8 x)-3 x^2+12 x^3+e^2 (2 x-8 x^2)}{-1+4 x} \, dx\) [52]
3.1.53 \(\int \genfrac {}{}{}{}{-3-10 x-x^2+1875 x^5-1875 x^6+1875 x^7-625 x^8}{x^2-625 x^7+625 x^8} \, dx\) [53]
3.1.54 \(\int \genfrac {}{}{}{}{-160 x+68 x^2-8 x^3-4 x \log (7)+(-72 x+16 x^2) \log (7) \log (\genfrac {}{}{}{}{4}{x})-8 x \log ^2(7) \log ^2(\genfrac {}{}{}{}{4}{x})}{16-8 x+x^2+(8-2 x) \log (7) \log (\genfrac {}{}{}{}{4}{x})+\log ^2(7) \log ^2(\genfrac {}{}{}{}{4}{x})} \, dx\) [54]
3.1.55 \(\int \genfrac {}{}{}{}{e^{-x} (9 x+3 x^2+(-9 x^2-3 x^3+(-24 x^2+3 x^4) \log (x)+(9 x+3 x^2+(18 x-3 x^2-3 x^3) \log (x)) \log (3+x)) \log (\log (x))+(9 x+3 x^2+(18 x-3 x^2-3 x^3) \log (x)) \log (\log (x)) \log (\log (\log (x))))}{(3+x) \log (\log (x))} \, dx\) [55]
3.1.56 \(\int \genfrac {}{}{}{}{23+23 x^2+8 x^3}{-23 x-10 x^2+23 x^3+4 x^4} \, dx\) [56]
3.1.57 \(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{e^x}{x}+x} (-1+x)+2 x^2}{x^2} \, dx\) [57]
3.1.58 \(\int \genfrac {}{}{}{}{(-4-5 x-x^2) \log (16+4 x)+(x-2 e^x x^2+(-4-x+e^x (8 x+2 x^2)) \log (16+4 x)) \log (\genfrac {}{}{}{}{e^{-x} (-5+10 e^x x)}{2 x})}{-4 x^2-x^3+e^x (8 x^3+2 x^4)} \, dx\) [58]
3.1.59 \(\int \genfrac {}{}{}{}{110+16 x+(55+16 x+x^2) \log (\genfrac {}{}{}{}{3 x^2}{110+32 x+2 x^2})}{55+16 x+x^2} \, dx\) [59]
3.1.60 \(\int \genfrac {}{}{}{}{-4 x-x^3+e^{-5+2 x} (4+2 x^3)}{e^{-5+2 x} x^3-x^4} \, dx\) [60]
3.1.61 \(\int \genfrac {}{}{}{}{-40 \log (2)+(x+e^x x) \log ^2(x)}{(40 x \log (2) \log (x)+(x+e^x x+x^2-8 x \log (2)) \log ^2(x)) \log (\genfrac {}{}{}{}{40 \log (2)+(1+e^x+x-8 \log (2)) \log (x)}{\log (x)})} \, dx\) [61]
3.1.62 \(\int \genfrac {}{}{}{}{1-2 x \log (x)+\log (x) \log (\log (x))}{\log (x)} \, dx\) [62]
3.1.63 \(\int \genfrac {}{}{}{}{2 x^4-6 x^5-2 x^6+e^{2+x} (-16 x-16 x^2-8 x^3)+(8 e^{2+x} x^2+2 x^5) \log (\genfrac {}{}{}{}{e^{-2-x} (4 e^{2+x}+x^3)}{x^2})+(2 x^3-6 x^4-2 x^5+e^{2+x} (-16-16 x-8 x^2)+(8 e^{2+x} x+2 x^4) \log (\genfrac {}{}{}{}{e^{-2-x} (4 e^{2+x}+x^3)}{x^2})) \log (-1-x+\log (\genfrac {}{}{}{}{e^{-2-x} (4 e^{2+x}+x^3)}{x^2}))}{-x^4-x^5+e^{2+x} (-4 x-4 x^2)+(4 e^{2+x} x+x^4) \log (\genfrac {}{}{}{}{e^{-2-x} (4 e^{2+x}+x^3)}{x^2})} \, dx\) [63]
3.1.64 \(\int \genfrac {}{}{}{}{-x^2+\genfrac {}{}{}{}{1}{3} e^{5-e^x+x} (-3-3 e^x x)}{e^{5-e^x+x} x+x^2} \, dx\) [64]
3.1.65 \(\int (18 x^2-32 x^3+(-12 x+36 x^2) \log (x)-12 x \log ^2(x)+e^{e^{e^{e^x}}} (-16 x+24 x^2+(12-24 x) \log (x)+6 \log ^2(x)+e^{e^{e^x}+e^x} (e^x (-2 x^2+8 x^3)-12 e^x x^2 \log (x)+6 e^x x \log ^2(x)))) \, dx\) [65]
3.1.66 \(\int \genfrac {}{}{}{}{10 x-20 x^2+30 x^3-20 x^4-2 x^5+10 x^6-20 x^7+20 x^8-10 x^9+2 x^{10}+(5 x-16 x^3+52 x^4-60 x^5+28 x^6-4 x^7) \log (3)+(-32 x+48 x^2-18 x^3+2 x^4) \log ^2(3)+(-10+10 x-20 x^2+8 x^4-32 x^5+48 x^6-32 x^7+8 x^8+(32 x^2-72 x^3+48 x^4-8 x^5) \log (3)) \log (x)+(-12 x^3+36 x^4-36 x^5+12 x^6+(-16 x+20 x^2-4 x^3) \log (3)) \log ^2(x)+(8 x^2-16 x^3+8 x^4) \log ^3(x)+(-2 x+2 x^2) \log ^4(x)}{x^5-4 x^6+6 x^7-4 x^8+x^9+(8 x^3-18 x^4+12 x^5-2 x^6) \log (3)+(16 x-8 x^2+x^3) \log ^2(3)+(-4 x^4+12 x^5-12 x^6+4 x^7+(-16 x^2+20 x^3-4 x^4) \log (3)) \log (x)+(6 x^3-12 x^4+6 x^5+(8 x-2 x^2) \log (3)) \log ^2(x)+(-4 x^2+4 x^3) \log ^3(x)+x \log ^4(x)} \, dx\) [66]
3.1.67 \(\int \genfrac {}{}{}{}{-180+31 x+x^2+(-36 x+4 x^2+x^2 \log (x)) \log (\genfrac {}{}{}{}{-36+4 x+x \log (x)}{x})}{(180 x-56 x^2+4 x^3+(-5 x^2+x^3) \log (x)) \log (\genfrac {}{}{}{}{-36+4 x+x \log (x)}{x})} \, dx\) [67]
3.1.68 \(\int (e^{6 x-4 x^2} (6-8 x)+e^{3 x-2 x^2} (66-88 x+(6-8 x) \log (16))) \, dx\) [68]
3.1.69 \(\int \genfrac {}{}{}{}{184 x+e^{x+x^2} (-184 x-368 x^2)+e^{\genfrac {}{}{}{}{1}{16} (144-192 x+64 x^2+(-24+16 x) \log (x)+\log ^2(x))} (-276-2024 x+1472 x^2+(23+184 x) \log (x))}{32 x} \, dx\) [69]
3.1.70 \(\int (-3-4 x+e^{e^x} (-1-e^x x)+\log (x^3)) \, dx\) [70]
3.1.71 \(\int \genfrac {}{}{}{}{75 x^2-3 x^3+(75 x^2+e^x (1250-100 x+2 x^2)) \log (x)+e^x (-625+675 x-51 x^2+x^3) \log ^2(x)}{1875 x^2-150 x^3+3 x^4} \, dx\) [71]
3.1.72 \(\int \genfrac {}{}{}{}{-12-2 x+12 x^2-3 x^3-3 x^4+(2 x+2 x^2) \log (2)+(-2 x-2 x^2) \log (1+x)}{x^3+x^4} \, dx\) [72]
3.1.73 \(\int \genfrac {}{}{}{}{-60+x-x^2+72 \log (x)-6 \log ^2(x)+e^{e^{4 x^2}} (22+e^{4 x^2} (-160 x^2+8 x^3)+(-2+16 e^{4 x^2} x^2) \log (x))}{2 x^2} \, dx\) [73]
3.1.74 \(\int \genfrac {}{}{}{}{-5+x^2+4 x^5+e^9 (x^2+2 x^3)}{x^2} \, dx\) [74]
3.1.75 \(\int \genfrac {}{}{}{}{10251562500+655560624846 x+956153602500 x^2+537220650631 x^3+421106423750 x^4+300666345007 x^5+66719025000 x^6+19129907088 x^7+11418525000 x^8+2315325870 x^9+309318750 x^{10}+199763982 x^{11}+32805000 x^{12}+1653372 x^{13}+1822500 x^{14}+157464 x^{15}+6561 x^{17}+(10251562500+105583541256 x+50497830000 x^2+249324860016 x^3+101333160000 x^4+109725878352 x^5+54772425000 x^6+19766210568 x^7+9979237500 x^8+3136702320 x^9+576450000 x^{10}+279578952 x^{11}+65610000 x^{12}+4408992 x^{13}+3645000 x^{14}+419904 x^{15}+17496 x^{17}) \log (x)+(3417187500+13317516882 x+23856525000 x^2+45764940852 x^3+33720862500 x^4+27268993494 x^5+16890562500 x^6+8088703996 x^7+3671500000 x^8+1634486040 x^9+452250000 x^{10}+157425444 x^{11}+54675000 x^{12}+5143824 x^{13}+3037500 x^{14}+489888 x^{15}+20412 x^{17}) \log ^2(x)+(379687500+89282088 x+5287275000 x^2+2516210568 x^3+6271425000 x^4+3315266496 x^5+3215250000 x^6+1703927664 x^7+958687500 x^8+414657360 x^9+191625000 x^{10}+48700296 x^{11}+24300000 x^{12}+3429216 x^{13}+1350000 x^{14}+326592 x^{15}+13608 x^{17}) \log ^3(x)+(37200870 x+562443750 x^2+289046070 x^3+829575000 x^4+368861040 x^5+536625000 x^6+203719860 x^7+201000000 x^8+60273900 x^9+46343750 x^{10}+10916790 x^{11}+6075000 x^{12}+1428840 x^{13}+337500 x^{14}+136080 x^{15}+5670 x^{17}) \log ^4(x)+(9920232 x+32805000 x^2+26453952 x^3+65610000 x^4+30862944 x^5+54675000 x^6+20575296 x^7+24300000 x^8+8573040 x^9+6075000 x^{10}+2286144 x^{11}+810000 x^{12}+381024 x^{13}+45000 x^{14}+36288 x^{15}+1512 x^{17}) \log ^5(x)+(1653372 x+1822500 x^2+4408992 x^3+3645000 x^4+5143824 x^5+3037500 x^6+3429216 x^7+1350000 x^8+1428840 x^9+337500 x^{10}+381024 x^{11}+45000 x^{12}+63504 x^{13}+2500 x^{14}+6048 x^{15}+252 x^{17}) \log ^6(x)+(157464 x+419904 x^3+489888 x^5+326592 x^7+136080 x^9+36288 x^{11}+6048 x^{13}+576 x^{15}+24 x^{17}) \log ^7(x)+(6561 x+17496 x^3+20412 x^5+13608 x^7+5670 x^9+1512 x^{11}+252 x^{13}+24 x^{15}+x^{17}) \log ^8(x)}{43046721 x+6454383750 x^2+247181588131 x^3+393768923750 x^4+225959313757 x^5+58365900000 x^6+19129907088 x^7+10532587500 x^8+2315325870 x^9+309318750 x^{10}+199763982 x^{11}+32805000 x^{12}+1653372 x^{13}+1822500 x^{14}+157464 x^{15}+6561 x^{17}+(114791256 x+9491580000 x^2+73543610016 x^3+67161285000 x^4+62850878352 x^5+44141175000 x^6+19766210568 x^7+8840175000 x^8+3136702320 x^9+576450000 x^{10}+279578952 x^{11}+65610000 x^{12}+4408992 x^{13}+3645000 x^{14}+419904 x^{15}+17496 x^{17}) \log (x)+(133923132 x+5631525000 x^2+19397753352 x^3+17773987500 x^4+19944774744 x^5+11828062500 x^6+8088703996 x^7+3123062500 x^8+1634486040 x^9+452250000 x^{10}+157425444 x^{11}+54675000 x^{12}+5143824 x^{13}+3037500 x^{14}+489888 x^{15}+20412 x^{17}) \log ^2(x)+(89282088 x+1743525000 x^2+2516210568 x^3+2980800000 x^4+3315266496 x^5+2146500000 x^6+1703927664 x^7+841500000 x^8+414657360 x^9+191625000 x^{10}+48700296 x^{11}+24300000 x^{12}+3429216 x^{13}+1350000 x^{14}+326592 x^{15}+13608 x^{17}) \log ^3(x)+(37200870 x+309318750 x^2+289046070 x^3+576450000 x^4+368861040 x^5+452250000 x^6+203719860 x^7+191625000 x^8+60273900 x^9+46343750 x^{10}+10916790 x^{11}+6075000 x^{12}+1428840 x^{13}+337500 x^{14}+136080 x^{15}+5670 x^{17}) \log ^4(x)+(9920232 x+32805000 x^2+26453952 x^3+65610000 x^4+30862944 x^5+54675000 x^6+20575296 x^7+24300000 x^8+8573040 x^9+6075000 x^{10}+2286144 x^{11}+810000 x^{12}+381024 x^{13}+45000 x^{14}+36288 x^{15}+1512 x^{17}) \log ^5(x)+(1653372 x+1822500 x^2+4408992 x^3+3645000 x^4+5143824 x^5+3037500 x^6+3429216 x^7+1350000 x^8+1428840 x^9+337500 x^{10}+381024 x^{11}+45000 x^{12}+63504 x^{13}+2500 x^{14}+6048 x^{15}+252 x^{17}) \log ^6(x)+(157464 x+419904 x^3+489888 x^5+326592 x^7+136080 x^9+36288 x^{11}+6048 x^{13}+576 x^{15}+24 x^{17}) \log ^7(x)+(6561 x+17496 x^3+20412 x^5+13608 x^7+5670 x^9+1512 x^{11}+252 x^{13}+24 x^{15}+x^{17}) \log ^8(x)} \, dx\) [75]
3.1.76 \(\int \genfrac {}{}{}{}{-5-8 x^3}{8 x^2} \, dx\) [76]
3.1.77 \(\int (-2+e^{4+2 x-e^{2 x} x} (2+4 x)) \, dx\) [77]
3.1.78 \(\int \genfrac {}{}{}{}{4 x^3}{\log ^2(2)} \, dx\) [78]
3.1.79 \(\int \genfrac {}{}{}{}{-x+\log (\log (5))+e^{e^{e^{3+e^x}+\log ^2(\genfrac {}{}{}{}{-x+\log (\log (5))}{\log (\log (5))})}} (x-\log (\log (5))+e^{e^{3+e^x}+\log ^2(\genfrac {}{}{}{}{-x+\log (\log (5))}{\log (\log (5))})} (e^{3+e^x} (e^x x^2-e^x x \log (\log (5)))+2 x \log (\genfrac {}{}{}{}{-x+\log (\log (5))}{\log (\log (5))})))}{-x+\log (\log (5))} \, dx\) [79]
3.1.80 \(\int \genfrac {}{}{}{}{-256 x-128 x^2+(256+128 x-352 x^2-128 x^3-8 x^4) \log (x)+(-256+640 x+672 x^2+176 x^3+16 x^4) \log ^2(x)+(-384-64 x+624 x^2+560 x^3+184 x^4+24 x^5+x^6) \log ^3(x)}{(32+48 x+24 x^2+4 x^3) \log ^3(x)} \, dx\) [80]
3.1.81 \(\int \genfrac {}{}{}{}{1}{16} (192+768 x+576 x^2+e^{8+4 x} (3+12 x)+e^{4+2 x} (-48-192 x-96 x^2)) \, dx\) [81]
3.1.82 \(\int \genfrac {}{}{}{}{1}{2} (-4+20 x+36 x^2+8 x^3+e^x (5+7 x+x^2)) \, dx\) [82]
3.1.83 \(\int \genfrac {}{}{}{}{4 x+6 x^2-4 x^3+(-2 x+x^2) \log (2)+e^x (6 x-x^2-x^3) \log (2)+(4 x+4 x^2+(-4-2 x) \log (2)+e^x (4+2 x) \log (2)) \log (\genfrac {}{}{}{}{4}{2 x+2 x^2+(-2-x) \log (2)+e^x (2+x) \log (2)}) \log (\log (\genfrac {}{}{}{}{4}{2 x+2 x^2+(-2-x) \log (2)+e^x (2+x) \log (2)}))}{(8 x-6 x^3+2 x^4+(-8+4 x+2 x^2-x^3) \log (2)+e^x (8-4 x-2 x^2+x^3) \log (2)) \log (\genfrac {}{}{}{}{4}{2 x+2 x^2+(-2-x) \log (2)+e^x (2+x) \log (2)}) \log ^2(\log (\genfrac {}{}{}{}{4}{2 x+2 x^2+(-2-x) \log (2)+e^x (2+x) \log (2)}))} \, dx\) [83]
3.1.84 \(\int \genfrac {}{}{}{}{-45+6 e^4-6 e^{1+x}}{-16 e^3+16 e^{3+3 x}+360 e^2 x-2700 e x^2+6750 x^3-16 e^{12} x^3+e^{2 x} (-48 e^3+360 e^2 x-48 e^6 x)+e^4 (-48 e^2 x+720 e x^2-2700 x^3)+e^8 (-48 e x^2+360 x^3)+e^x (48 e^3-720 e^2 x+2700 e x^2+48 e^9 x^2+e^4 (96 e^2 x-720 e x^2))} \, dx\) [84]
3.1.85 \(\int \genfrac {}{}{}{}{4+i \pi -9 x+2 x^2+\log (3)}{-4+x} \, dx\) [85]
3.1.86 \(\int \genfrac {}{}{}{}{75 x+60 x^2+39 x^3-693 x^4+90 x^5+45 x^6+e^{2 x} (225 x^2+420 x^3-75 x^4-30 x^5)+(225-30 x-15 x^2) \log (3-x)+(225 x^2-30 x^3-15 x^4) \log (5+x)}{-75 x^2+10 x^3+5 x^4} \, dx\) [86]
3.1.87 \(\int \genfrac {}{}{}{}{-2+8 \log (5)-16 \log ^2(5)}{1-8 \log (5)+16 \log ^2(5)} \, dx\) [87]
3.1.88 \(\int \genfrac {}{}{}{}{-4+5 x^2+8 x^3-3 x^4-4 x^5+(4+x^2) \log (4 x)}{4 x^2} \, dx\) [88]
3.1.89 \(\int \genfrac {}{}{}{}{1}{9} e^{3^{e^{-x} x}} (e^x (2 x+4 x^2+x^3)+3^{e^{-x} x} (x^2-x^4) \log (3)) \, dx\) [89]
3.1.90 \(\int \genfrac {}{}{}{}{e^{8+e^{12}} (-3+9 x-3 x^2)+e^8 (-3+12 x-3 x^2)+e^4 (-6 x+2 x^2)+e^8 (3 x-x^2) \log (-3+x)+e^8 (-3 x+x^2) \log (x)}{-12 x+4 x^2+e^4 (36 x^2-12 x^3)+e^8 (-27 x^3+9 x^4)+(e^4 (12 x-4 x^2)+e^8 (-18 x^2+6 x^3)) \log (-3+x)+e^8 (-3 x+x^2) \log ^2(-3+x)+(e^4 (-12 x+4 x^2)+e^8 (18 x^2-6 x^3)+e^8 (6 x-2 x^2) \log (-3+x)) \log (x)+e^8 (-3 x+x^2) \log ^2(x)} \, dx\) [90]
3.1.91 \(\int \genfrac {}{}{}{}{64+44 x-52 x^2-87 x^3+33 x^4+35 x^5-10 x^6-4 x^7+x^8+(-64+20 x+32 x^2-9 x^3-4 x^4+x^5) \log (\genfrac {}{}{}{}{-16+5 x+4 x^2-x^3}{-4+x^2})+\log (x) (-128+60 x+64 x^2-25 x^3-8 x^4+3 x^5+(128-40 x-64 x^2+18 x^3+8 x^4-2 x^5) \log (\genfrac {}{}{}{}{-16+5 x+4 x^2-x^3}{-4+x^2}))}{-64 x^3+20 x^4+32 x^5-9 x^6-4 x^7+x^8} \, dx\) [91]
3.1.92 \(\int \genfrac {}{}{}{}{81+e^{e^x} (16+e^x (81-16 x))}{e^{2 e^x}+2 e^{e^x} x+x^2} \, dx\) [92]
3.1.93 \(\int \genfrac {}{}{}{}{-1+e^2-3 x+(-1+e^2) \log (x)}{(-x+e^2 x-3 x^2) \log (x)} \, dx\) [93]
3.1.94 \(\int \genfrac {}{}{}{}{-36-54 x-36 x^4-36 x^5+2 x^9}{9-6 x^4+x^8} \, dx\) [94]
3.1.95 \(\int \genfrac {}{}{}{}{e^{2 x}+e^{2 e^{25-10 x+x^2}} (4+4 e^x)+e^{e^{25-10 x+x^2}} (-4 e^x+e^{25-8 x+x^2} (20-4 x))}{8 e^{2 e^{25-10 x+x^2}}+2 e^{2 x}-8 e^{e^{25-10 x+x^2}+x}} \, dx\) [95]
3.1.96 \(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{1}{2} (5 e^{\genfrac {}{}{}{}{1}{x^2}} x-5 x^2-5 x^3)} (2 x+10 x^3+15 x^4+e^{\genfrac {}{}{}{}{1}{x^2}} (10-5 x^2))}{2 e^{5 e^{\genfrac {}{}{}{}{1}{x^2}} x-5 x^2-5 x^3} x-4 e^{\genfrac {}{}{}{}{1}{2} (5 e^{\genfrac {}{}{}{}{1}{x^2}} x-5 x^2-5 x^3)} x^2+2 x^3} \, dx\) [96]
3.1.97 \(\int \genfrac {}{}{}{}{-3+x}{16+8 \log (\log (16))} \, dx\) [97]
3.1.98 \(\int \genfrac {}{}{}{}{-3-3 \log (240)}{x^2} \, dx\) [98]
3.1.99 \(\int \genfrac {}{}{}{}{-486 x-486 x^2+324 x^3+468 x^4+162 x^5+18 x^6+(162 x+324 x^2+216 x^3+60 x^4+6 x^5) \log (5)+(648 x^4+648 x^5+216 x^6+24 x^7) \log (\genfrac {}{}{}{}{1}{2} (3-3 x-\log (5)))+(-1296 x^3-324 x^4+972 x^5+564 x^6+84 x^7+(432 x^3+540 x^4+216 x^5+28 x^6) \log (5)) \log ^2(\genfrac {}{}{}{}{1}{2} (3-3 x-\log (5)))+(648 x^6+432 x^7+72 x^8) \log ^3(\genfrac {}{}{}{}{1}{2} (3-3 x-\log (5)))+(-972 x^5+216 x^6+612 x^7+144 x^8+(324 x^5+252 x^6+48 x^7) \log (5)) \log ^4(\genfrac {}{}{}{}{1}{2} (3-3 x-\log (5)))+(216 x^8+72 x^9) \log ^5(\genfrac {}{}{}{}{1}{2} (3-3 x-\log (5)))+(-288 x^7+180 x^8+108 x^9+(96 x^7+36 x^8) \log (5)) \log ^6(\genfrac {}{}{}{}{1}{2} (3-3 x-\log (5)))+24 x^{10} \log ^7(\genfrac {}{}{}{}{1}{2} (3-3 x-\log (5)))+(-30 x^9+30 x^{10}+10 x^9 \log (5)) \log ^8(\genfrac {}{}{}{}{1}{2} (3-3 x-\log (5)))}{-3+3 x+\log (5)} \, dx\) [99]
3.1.100 \(\int e^{13-16 x+4 x^2} (16-3 e^{-13+16 x-4 x^2}-8 x) \, dx\) [100]