3.2.1 \(\int \genfrac {}{}{}{}{125 e^2-125 x-250 e x+125 x^2+e^{6 x} (-e^2+x+2 e x-x^2)+e^{5 x} (3 e^2 x-3 x^2-6 e x^2+3 x^3)+e^x (75 e^2 x-75 x^2-150 e x^2+75 x^3)+e^{2 x} (10+75 x-75 x^2-15 x^3+15 x^4+e^2 (-75+15 x^2)+e (150 x-30 x^3))+e^{4 x} (-2-15 x+15 x^2+3 x^3-3 x^4+e^2 (15-3 x^2)+e (-30 x+6 x^3))+e^{3 x} (2 x+30 x^2-30 x^3-x^4+x^5+e^2 (-30 x+x^3)+e (60 x^2-2 x^4))+(-250 e x+250 x^2+e^{6 x} (2 e x-2 x^2)+e^{5 x} (-6 e x^2+6 x^3)+e^x (-150 e x^2+150 x^3)+e^{2 x} (20 x-150 x^2+30 x^4+e (150 x-30 x^3))+e^{4 x} (4 x+30 x^2-6 x^4+e (-30 x+6 x^3))+e^{3 x} (-4 x-60 x^3+2 x^5+e (60 x^2-2 x^4))) \log (x)}{-125 x+e^{6 x} x-75 e^x x^2-3 e^{5 x} x^2+e^{2 x} (75 x-15 x^3)+e^{4 x} (-15 x+3 x^3)+e^{3 x} (30 x^2-x^4)} \, dx\) [101]
3.2.2 \(\int \genfrac {}{}{}{}{-5000 x^2+1250 e^{5+x} x^2+(15000 x^2-3700 e^{5+x} x^2) \log (x)+(10000 x-2450 e^{5+x} x) \log ^2(x)+\log (\genfrac {}{}{}{}{1}{4} (4-e^{5+x})) (200 x-50 e^{5+x} x+(-400 x+100 e^{5+x} x) \log (x)+(-200+50 e^{5+x}) \log ^2(x))}{-2500 x^6+625 e^{5+x} x^6+(-5000 x^5+1250 e^{5+x} x^5) \log (x)+(-2500 x^4+625 e^{5+x} x^4) \log ^2(x)+\log ^2(\genfrac {}{}{}{}{1}{4} (4-e^{5+x})) (-4 x^4+e^{5+x} x^4+(-8 x^3+2 e^{5+x} x^3) \log (x)+(-4 x^2+e^{5+x} x^2) \log ^2(x))+\log (\genfrac {}{}{}{}{1}{4} (4-e^{5+x})) (200 x^5-50 e^{5+x} x^5+(400 x^4-100 e^{5+x} x^4) \log (x)+(200 x^3-50 e^{5+x} x^3) \log ^2(x))} \, dx\) [102]
3.2.3 \(\int \genfrac {}{}{}{}{e^5 (4-4 e^2)+4 e^5 \log (5)-4 e^5 \log (2 x)}{3 x^2} \, dx\) [103]
3.2.4 \(\int \genfrac {}{}{}{}{1250 x+1253 x^2+1004 x^3+3000 x^4+300 x^5+1500 x^6+40 x^7+280 x^8+2 x^9+18 x^{10}+(-2506 x-8 x^2-4000 x^3-1800 x^5-320 x^7-20 x^9) \log (x)+(3+4 x) \log ^2(x)}{2 x^2-4 x \log (x)+2 \log ^2(x)} \, dx\) [104]
3.2.5 \(\int e^{-x} (-16+48 x-2 e^x x-16 x^2+e^3 (-24+72 x-24 x^2)) \, dx\) [105]
3.2.6 \(\int \genfrac {}{}{}{}{4+16 e^2 x^2+32 e^2 x^2 \log (x)}{e^2 x} \, dx\) [106]
3.2.7 \(\int \genfrac {}{}{}{}{100 x \log (x)+100 x \log ^2(x)+(2 x^4+2 e^x x^4) \log ^4(x)}{625+(250 x^2-50 e^x x^2-50 x^3) \log ^2(x)+(25 x^4+e^{2 x} x^4-10 x^5+x^6+e^x (-10 x^4+2 x^5)) \log ^4(x)} \, dx\) [107]
3.2.8 \(\int \genfrac {}{}{}{}{e^{12}+e^6 (9-3 e^5)+18 x}{e^{12}} \, dx\) [108]
3.2.9 \(\int \genfrac {}{}{}{}{3 x^2+3 x^3 \log (\genfrac {}{}{}{}{3}{2})+(-12 x^2-9 x^3 \log (\genfrac {}{}{}{}{3}{2})) \log (x)+(-36+27 x-(18 x-18 x^2) \log (\genfrac {}{}{}{}{3}{2})) \log ^2(x)}{-x^7 \log (\genfrac {}{}{}{}{3}{2})-(12 x^5-6 x^6) \log (\genfrac {}{}{}{}{3}{2}) \log (x)-(36 x^3-36 x^4+9 x^5) \log (\genfrac {}{}{}{}{3}{2}) \log ^2(x)} \, dx\) [109]
3.2.10 \(\int \genfrac {}{}{}{}{\genfrac {}{}{}{}{e^{2 x} (1-2 x)}{x}-3 x+2 x^2}{x} \, dx\) [110]
3.2.11 \(\int \genfrac {}{}{}{}{-2 x^2-12 x^5+e^{10} (-2-12 x^3)+e^5 (-4 x-18 x^2-24 x^4)}{e^{10} x^2+2 e^5 x^3+x^4} \, dx\) [111]
3.2.12 \(\int (8+12 x+3 x^2+2 e^{2 x} (1+2 x)) \, dx\) [112]
3.2.13 \(\int (17-14 x+3 x^2+e^{-30 x+4 x^2+2 x^3} (1-30 x+8 x^2+6 x^3)+e^{-15 x+2 x^2+x^3} (8-124 x+62 x^2+16 x^3-6 x^4)+\log (\log (2))) \, dx\) [113]
3.2.14 \(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{5+e^{\genfrac {}{}{}{}{5+6 x+2 x^2}{1+x}}+x-\log (x)}{x}} (-6-12 x-6 x^2+e^{\genfrac {}{}{}{}{5+6 x+2 x^2}{1+x}} (-1-x+3 x^2+2 x^3)+(1+2 x+x^2) \log (x))}{x^2+2 x^3+x^4} \, dx\) [114]
3.2.15 \(\int \genfrac {}{}{}{}{-104976 x+39366 x^2-1458 x^4+e^{2 x} (-5832 x+8019 x^2-1458 x^3-729 x^4+162 x^5)}{26244-5832 x^2+324 x^4+e^{4 x} (81-18 x^2+x^4)+e^{2 x} (2916-648 x^2+36 x^4)} \, dx\) [115]
3.2.16 \(\int \genfrac {}{}{}{}{2 x-2 e^x x \log (2)+(4+2 x+e^x (-2 x-2 x^2) \log (2)) \log (x)}{x} \, dx\) [116]
3.2.17 \(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{-x+(3-e-e^4) \log ^2(3)+(-6+2 e+2 e^4) \log (3) \log (-5+x)+(3-e-e^4) \log ^2(-5+x)}{-3+e+e^4}} (5-x+(-6+2 e+2 e^4) \log (3)+(6-2 e-2 e^4) \log (-5+x))}{15+e (-5+x)+e^4 (-5+x)-3 x} \, dx\) [117]
3.2.18 \(\int \genfrac {}{}{}{}{(-1250-500 x+250 x^2) \log ^2(2)+(10+127 x) \log ^2(2) \log (x)+(3+x) \log ^2(2) \log ^2(x)}{125 x} \, dx\) [118]
3.2.19 \(\int \genfrac {}{}{}{}{-100-12 x+x^3}{20 x+4 x^2+x^4} \, dx\) [119]
3.2.20 \(\int \genfrac {}{}{}{}{8-8 e^3-10 x+5 x \log (x)}{x \log ^3(x)} \, dx\) [120]
3.2.21 \(\int \genfrac {}{}{}{}{3 x+e^x x+e^{2 x} (12 e^x x^2+36 x^3)+(-e^x-3 x) \log (e^x+3 x)}{3 e^x x^2+9 x^3} \, dx\) [121]
3.2.22 \(\int \genfrac {}{}{}{}{-6 e^8 x \log ^4(\genfrac {}{}{}{}{5}{3})+e^{12} \log ^6(\genfrac {}{}{}{}{5}{3}) (-6 x+6 x \log (x))}{-1+3 e^4 \log ^2(\genfrac {}{}{}{}{5}{3}) \log (x)-3 e^8 \log ^4(\genfrac {}{}{}{}{5}{3}) \log ^2(x)+e^{12} \log ^6(\genfrac {}{}{}{}{5}{3}) \log ^3(x)} \, dx\) [122]
3.2.23 \(\int \genfrac {}{}{}{}{(1+2 x)^{\genfrac {}{}{}{}{3 x}{-3-2 x \log (1+2 x)+e^{\log ^2(\log (x))} x \log (1+2 x)}} (-18 x \log (x)+(-9-18 x) \log (x) \log (1+2 x)+e^{\log ^2(\log (x))} (-6 x-12 x^2) \log ^2(1+2 x) \log (\log (x)))}{(9+18 x) \log (x)+(12 x+24 x^2) \log (x) \log (1+2 x)+e^{2 \log ^2(\log (x))} (x^2+2 x^3) \log (x) \log ^2(1+2 x)+(4 x^2+8 x^3) \log (x) \log ^2(1+2 x)+e^{\log ^2(\log (x))} ((-6 x-12 x^2) \log (x) \log (1+2 x)+(-4 x^2-8 x^3) \log (x) \log ^2(1+2 x))} \, dx\) [123]
3.2.24 \(\int \genfrac {}{}{}{}{-7 x^2+e^9 x^2-3 x^4+(14 x-2 e^9 x+6 x^3) \log (2)+(-8+e^9-3 x^2) \log ^2(2)}{x^2-2 x \log (2)+\log ^2(2)} \, dx\) [124]
3.2.25 \(\int \genfrac {}{}{}{}{115 \log (2)}{4 x^2} \, dx\) [125]
3.2.26 \(\int \genfrac {}{}{}{}{e^{e^{\genfrac {}{}{}{}{1}{2} (-728 x^2+486 e^{\genfrac {}{}{}{}{x}{3+2 x}} x^2-81 e^{\genfrac {}{}{}{}{2 x}{3+2 x}} x^2)}+\genfrac {}{}{}{}{1}{2} (-728 x^2+486 e^{\genfrac {}{}{}{}{x}{3+2 x}} x^2-81 e^{\genfrac {}{}{}{}{2 x}{3+2 x}} x^2)} (-6552 x-8736 x^2-2912 x^3+e^{\genfrac {}{}{}{}{2 x}{3+2 x}} (-729 x-1215 x^2-324 x^3)+e^{\genfrac {}{}{}{}{x}{3+2 x}} (4374 x+6561 x^2+1944 x^3))}{9+12 x+4 x^2} \, dx\) [126]
3.2.27 \(\int \genfrac {}{}{}{}{-4 x^2+e^{\genfrac {}{}{}{}{1}{x}} x^2+(8 x+4 x^2+e^{\genfrac {}{}{}{}{1}{x}} (-2-3 x-x^2)) \log (2+x)}{2 x^3+x^4+(16 x^2+8 x^3+e^{\genfrac {}{}{}{}{1}{x}} (-4 x^2-2 x^3)) \log (2+x)+(32 x+16 x^2+e^{\genfrac {}{}{}{}{1}{x}} (-16 x-8 x^2)+e^{2/x} (2 x+x^2)) \log ^2(2+x)} \, dx\) [127]
3.2.28 \(\int \genfrac {}{}{}{}{-2 e^9+e^{9+\genfrac {}{}{}{}{1}{2} (4+x+\log (3))}+8 e^9 (i \pi +\log (3))}{8 (i \pi +\log (3))} \, dx\) [128]
3.2.29 \(\int -e^{6+e^4-e^{5+e^4+x}+x} \, dx\) [129]
3.2.30 \(\int \genfrac {}{}{}{}{x+(x+x^2+5 3^{5/x} \log (3)) \log (x)}{(64 x^2+3^{10/x} x^2+16 x^3+x^4+3^{5/x} (-16 x^2-2 x^3)) \log (x)+(16 x^2-2 3^{5/x} x^2+2 x^3) \log (x) \log (x \log (x))+x^2 \log (x) \log ^2(x \log (x))} \, dx\) [130]
3.2.31 \(\int \genfrac {}{}{}{}{-4 e^{x+e^{-x} (-e^2+e^x x)}+e^{3 x} (x^2+x^3)+e^{2 x} (-2 x^2-4 x^3-e^2 x^3)+e^2 (-x^3-2 x^4-x^5)+e^x (x^2+3 x^3+x^4-x^5+e^2 (2 x^3+2 x^4))}{e^{3 x} x^3+e^{x+e^{-x} (-e^2+e^x x)} (4 x+2 x^2)+e^{2 x} (-2 x^3-2 x^4)+e^x (x^3+2 x^4+x^5)} \, dx\) [131]
3.2.32 \(\int \genfrac {}{}{}{}{e^{2 x} (-320+128 x^2)+e^x (-128 x^2+32 x^3)}{x^7+e^x (10 x^5-2 x^7)+e^{2 x} (25 x^3-10 x^5+x^7)} \, dx\) [132]
3.2.33 \(\int \genfrac {}{}{}{}{-96+6 e^4+8 x+(-48 x+3 e^4 x-4 x^2) \log ^2(\genfrac {}{}{}{}{9 x}{2304+9 e^8+e^4 (-288-24 x)+384 x+16 x^2})}{-192 x+12 e^4 x-16 x^2+(192 x^2-12 e^4 x^2+16 x^3) \log (\genfrac {}{}{}{}{9 x}{2304+9 e^8+e^4 (-288-24 x)+384 x+16 x^2})+(-48 x^3+3 e^4 x^3-4 x^4) \log ^2(\genfrac {}{}{}{}{9 x}{2304+9 e^8+e^4 (-288-24 x)+384 x+16 x^2})} \, dx\) [133]
3.2.34 \(\int \genfrac {}{}{}{}{\log (x) (5+\log (e^{-\genfrac {}{}{}{}{2-x}{e^9}} (-5+e^{\genfrac {}{}{}{}{2-x}{e^9}} x))) (-125 e^9+25 e^{9+\genfrac {}{}{}{}{2-x}{e^9}} x+(-25 x+5 e^{9+\genfrac {}{}{}{}{2-x}{e^9}} x) \log (x)+(-25 e^9+5 e^{9+\genfrac {}{}{}{}{2-x}{e^9}} x) \log (e^{-\genfrac {}{}{}{}{2-x}{e^9}} (-5+e^{\genfrac {}{}{}{}{2-x}{e^9}} x)))}{(-25 e^9 x+5 e^{9+\genfrac {}{}{}{}{2-x}{e^9}} x^2) \log (x)+(-5 e^9 x+e^{9+\genfrac {}{}{}{}{2-x}{e^9}} x^2) \log (x) \log (e^{-\genfrac {}{}{}{}{2-x}{e^9}} (-5+e^{\genfrac {}{}{}{}{2-x}{e^9}} x))} \, dx\) [134]
3.2.35 \(\int \genfrac {}{}{}{}{-18+x^2+2 x^3}{x^3} \, dx\) [135]
3.2.36 \(\int \genfrac {}{}{}{}{1}{2} (43-24 x+3 x^2+e^x (-3+4 x-x^2)) \, dx\) [136]
3.2.37 \(\int (1+e^{8+x-2 x^2} (-1+4 x)) \, dx\) [137]
3.2.38 \(\int \genfrac {}{}{}{}{3 x^2-5 x^3+e^{3+e^4} (-1+5 e+5 x)+e (2 x-5 x^2)}{-5 e x^2-5 x^3+e^{3+e^4} (5 e+5 x)} \, dx\) [138]
3.2.39 \(\int \genfrac {}{}{}{}{x-24 x^2+24 x^3+(-5 e^{24 x-12 x^2}-x) \log (e^{-24 x+12 x^2} (5 e^{24 x-12 x^2}+x))}{5 e^{24 x-12 x^2} x^2+x^3} \, dx\) [139]
3.2.40 \(\int \genfrac {}{}{}{}{-4+e^{e^{\genfrac {}{}{}{}{e^x}{12}}+x} (-12 x^2-e^{\genfrac {}{}{}{}{e^x}{12}+x} x^2)}{x^2} \, dx\) [140]
3.2.41 \(\int \genfrac {}{}{}{}{3+e^{2 x} (3+6 x)+e^x (9+9 x)+(4 x-2 e^{2 x} x) \log (x)+(6 x+2 e^{2 x} x^2+e^x (6 x+6 x^2)) \log ^2(x)+(x^2+e^x (x^2+x^3)) \log ^4(x)}{9+6 x \log ^2(x)+x^2 \log ^4(x)} \, dx\) [141]
3.2.42 \(\int \genfrac {}{}{}{}{e^{-1+x} (-2+3 x-x^2)+e^{-1+x} (-2+6 x-4 x^2+x^3) \log (x)}{e^3 (x^2-2 x^3+x^4) \log ^2(x)} \, dx\) [142]
3.2.43 \(\int \genfrac {}{}{}{}{-248+20 x-20 x \log (x)+x \log ^2(x)-100 \log ^2(\genfrac {}{}{}{}{9}{\log (5)})-10 \log ^4(\genfrac {}{}{}{}{9}{\log (5)})}{x \log ^2(x)} \, dx\) [143]
3.2.44 \(\int \genfrac {}{}{}{}{-2+8 e^{4-60 x+225 x^2}-12 e^{8-120 x+450 x^2}+8 e^{12-180 x+675 x^2}-2 e^{16-240 x+900 x^2}+(10+e^{12-180 x+675 x^2} (720 x-5400 x^2)+e^{4-60 x+225 x^2} (-20+240 x-1800 x^2)+e^{16-240 x+900 x^2} (-240 x+1800 x^2)+e^{8-120 x+450 x^2} (10-720 x+5400 x^2)) \log (x)+(e^{8-120 x+450 x^2} (1200 x-9000 x^2)+e^{4-60 x+225 x^2} (-1200 x+9000 x^2)) \log ^2(x)-\log ^3(x)}{x \log ^3(x)} \, dx\) [144]
3.2.45 \(\int \genfrac {}{}{}{}{e^{x^2} (-20 x+30 x^2-10 x^3+10 x^4)+e^{x^2} (-30 x+40 x^2-20 x^3+20 x^4) \log (-x+x^2)+e^{x^2} (-10 x+10 x^2-10 x^3+10 x^4) \log ^2(-x+x^2)}{-4+4 x+e^{x^2} (4 x^2-4 x^3)+e^{2 x^2} (-x^4+x^5)+(e^{x^2} (8 x^2-8 x^3)+e^{2 x^2} (-4 x^4+4 x^5)) \log (-x+x^2)+(e^{x^2} (4 x^2-4 x^3)+e^{2 x^2} (-6 x^4+6 x^5)) \log ^2(-x+x^2)+e^{2 x^2} (-4 x^4+4 x^5) \log ^3(-x+x^2)+e^{2 x^2} (-x^4+x^5) \log ^4(-x+x^2)} \, dx\) [145]
3.2.46 \(\int \genfrac {}{}{}{}{5+(-3+2 x^2) \log ^2(\log (3))}{x^2 \log ^2(\log (3))} \, dx\) [146]
3.2.47 \(\int \genfrac {}{}{}{}{50+11 x-400 x^2-72 x^3+6 x \log (x)}{5 x} \, dx\) [147]
3.2.48 \(\int \genfrac {}{}{}{}{-2 x+15 x^3+30 \log (4)}{15 x^3} \, dx\) [148]
3.2.49 \(\int \genfrac {}{}{}{}{3+e^{-9 \pi ^2 x^2} (-1-18 \pi ^2 x^2)-\log (x)}{x^2} \, dx\) [149]
3.2.50 \(\int \genfrac {}{}{}{}{-240 x^3-48 x^4+40 x^6+(3600+1440 x+144 x^2-480 x^3-144 x^4) \log (x)+(-1800+72 x^2) \log ^2(x)}{5 x^2} \, dx\) [150]
3.2.51 \(\int \genfrac {}{}{}{}{-192+144 x+104 x^2-32 x^3-2 x^6}{x^5} \, dx\) [151]
3.2.52 \(\int \genfrac {}{}{}{}{e^{-4+x^2} (2 x-3 x^2+4 x^3-3 x^4+2 x^5-2 x^6)}{1+2 x^2+x^4} \, dx\) [152]
3.2.53 \(\int \genfrac {}{}{}{}{75+25 x^2}{162-108 x^2+18 x^4} \, dx\) [153]
3.2.54 \(\int -e^x \, dx\) [154]
3.2.55 \(\int (-180+172 x+4 e^{\genfrac {}{}{}{}{e^8}{4}} x-60 x^2+8 x^3+e^{\genfrac {}{}{}{}{e^8}{8}} (-36+40 x-12 x^2)) \, dx\) [155]
3.2.56 \(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{1}{4} (4-x^2)} ((-4+4 e^5-8 x) \log (20+x-e^5 x+x^2)+(20 x+x^2-e^5 x^2+x^3) \log ^2(20+x-e^5 x+x^2))}{-40-2 x+2 e^5 x-2 x^2} \, dx\) [156]
3.2.57 \(\int \genfrac {}{}{}{}{-5+x+x^2+\genfrac {}{}{}{}{e^{e^{x^2}+e^{\genfrac {}{}{}{}{e^{e^{x^2}}}{-5+x+x^2}}+\genfrac {}{}{}{}{e^{e^{x^2}}}{-5+x+x^2}} (1+2 x+e^{x^2} (10 x-2 x^2-2 x^3))}{-5+x+x^2}}{-5+x+x^2} \, dx\) [157]
3.2.58 \(\int \genfrac {}{}{}{}{45 x-40 x^2-9 x^3+(25-45 x) \log (\genfrac {}{}{}{}{1}{5} (5-9 x))}{-5 x^4+9 x^5+(50 x^2-140 x^3+90 x^4) \log (\genfrac {}{}{}{}{1}{5} (5-9 x))+(-125+475 x-575 x^2+225 x^3) \log ^2(\genfrac {}{}{}{}{1}{5} (5-9 x))} \, dx\) [158]
3.2.59 \(\int \genfrac {}{}{}{}{1}{5} e^{e^{\genfrac {}{}{}{}{1}{25} (3600 x^2+1200 x^3+100 x^4+e^6 (144+48 x+4 x^2)+e^3 (1440 x+480 x^2+40 x^3))}} (-25+e^{\genfrac {}{}{}{}{1}{25} (3600 x^2+1200 x^3+100 x^4+e^6 (144+48 x+4 x^2)+e^3 (1440 x+480 x^2+40 x^3))} (14400 x-2800 x^3-400 x^4+e^6 (96-32 x-8 x^2)+e^3 (2880+480 x-720 x^2-120 x^3))) \, dx\) [159]
3.2.60 \(\int \genfrac {}{}{}{}{1}{5} e^x (-1-x) \, dx\) [160]
3.2.61 \(\int \genfrac {}{}{}{}{(-20 x-10 x^2+10 x^3+e^4 (-20-10 x+10 x^2)+(-10 e^4-10 x) \log (4)) \log (\genfrac {}{}{}{}{5+x}{x})+(-10 x-2 x^2-5 x^3-x^4+e^4 (5 x-9 x^2-2 x^3)+(-5 x-x^2) \log (4)) \log ^2(\genfrac {}{}{}{}{5+x}{x})}{5 x^3+x^4+e^8 (5 x+x^2)+e^4 (10 x^2+2 x^3)} \, dx\) [161]
3.2.62 \(\int \genfrac {}{}{}{}{-4+16 x^2}{x+5 x^2+4 x^3} \, dx\) [162]
3.2.63 \(\int \genfrac {}{}{}{}{-81 e^{4+x}+675 e^9 x^2}{81 e^{2 x}+625 e^{10} x^6+e^x (-450 e^5 x^3-162 \log (8))+450 e^5 x^3 \log (8)+81 \log ^2(8)} \, dx\) [163]
3.2.64 \(\int \genfrac {}{}{}{}{e^x+e^x \log (\genfrac {}{}{}{}{x}{2})-18 \log (\genfrac {}{}{}{}{x}{2}) \log (\genfrac {}{}{}{}{x \log (\genfrac {}{}{}{}{x}{2})}{-4+\log (2)})+e^x (-1+x) \log (\genfrac {}{}{}{}{x}{2}) \log (\genfrac {}{}{}{}{x \log (\genfrac {}{}{}{}{x}{2})}{-4+\log (2)}) \log (\log (\genfrac {}{}{}{}{x \log (\genfrac {}{}{}{}{x}{2})}{-4+\log (2)}))}{6 x^2 \log (\genfrac {}{}{}{}{x}{2}) \log (\genfrac {}{}{}{}{x \log (\genfrac {}{}{}{}{x}{2})}{-4+\log (2)})} \, dx\) [164]
3.2.65 \(\int \genfrac {}{}{}{}{(4624+272 x^2-96 e^{3/x} x^3+4 x^4+4 e^{4/x} x^4+e^{\genfrac {}{}{}{}{1}{x}} (-3264 x-96 x^3)+e^{2/x} (848 x^2+8 x^4)) \log ^3(\genfrac {}{}{}{}{x}{16})+(136 x^2+4 x^4+e^{\genfrac {}{}{}{}{1}{x}} (816-816 x+24 x^2-72 x^3)+e^{3/x} (72 x^2-72 x^3)+e^{4/x} (-4 x^3+4 x^4)+e^{2/x} (-424 x+424 x^2-4 x^3+8 x^4)) \log ^4(\genfrac {}{}{}{}{x}{16})}{x} \, dx\) [165]
3.2.66 \(\int \genfrac {}{}{}{}{1+e^4 \log (x)+(6+6 e^4+(1+7 e^4) \log (x)+e^4 \log ^2(x)) \log (\genfrac {}{}{}{}{5+\log (2)}{6+\log (x)})}{(6 x+(x+6 e^4 x) \log (x)+e^4 x \log ^2(x)) \log (\genfrac {}{}{}{}{5+\log (2)}{6+\log (x)})} \, dx\) [166]
3.2.67 \(\int \genfrac {}{}{}{}{(2 x-x^2-x^3) \log (5)+(4+12 x+12 x^2+4 x^3) \log (\genfrac {}{}{}{}{18+9 x}{x})}{2 x+7 x^2+9 x^3+5 x^4+x^5} \, dx\) [167]
3.2.68 \(\int \genfrac {}{}{}{}{625 e^x+e^x (-625-625 x) \log (x) \log (\log (x))+(625-1250 x) \log (x) \log ^2(\log (x))}{625 e^{2 x} x^2 \log (x)+e^x (-50 x-1250 x^2+1250 x^3) \log (x) \log (\log (x))+(1+50 x+575 x^2-1250 x^3+625 x^4) \log (x) \log ^2(\log (x))} \, dx\) [168]
3.2.69 \(\int \genfrac {}{}{}{}{8+8 x+2 x^2+e^{\genfrac {}{}{}{}{5 x}{2+x}} (18+28 x+2 x^2)}{4+4 x+x^2} \, dx\) [169]
3.2.70 \(\int \genfrac {}{}{}{}{5 x^6+48 x^7+112 x^8+(80-40 x^5-384 x^6-896 x^7) \log (3)+(80 x^4+768 x^5+1792 x^6) \log ^2(3)}{x^2-8 x \log (3)+16 \log ^2(3)} \, dx\) [170]
3.2.71 \(\int \genfrac {}{}{}{}{24 x+4 e^{\genfrac {}{}{}{}{-3+x^2}{x}} x-8 x^2+(-2 x^2+e^{\genfrac {}{}{}{}{-3+x^2}{x}} (3+x^2)) \log (\genfrac {}{}{}{}{x^4}{16}) \log (\log (\genfrac {}{}{}{}{x^4}{16}))}{x^2 \log (\genfrac {}{}{}{}{x^4}{16})} \, dx\) [171]
3.2.72 \(\int \genfrac {}{}{}{}{48-26 x+4 x^2+(16-11 x+2 x^2) \log (x)+(12-4 x+(4-2 x) \log (x)) \log (\genfrac {}{}{}{}{1}{4} (4 x^2+4 x^2 \log (x)+x^2 \log ^2(x)))}{2 x+x \log (x)} \, dx\) [172]
3.2.73 \(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{1+32 e^{2 x} x+256 e^{4 x} x^2}{8 x^2}} (-1+512 e^{4 x} x^3+e^{2 x} (-16 x+32 x^2))}{4 x^3} \, dx\) [173]
3.2.74 \(\int \genfrac {}{}{}{}{20+5 x+12 x^3+3 x^4+e^x (12 x^2+3 x^3)+(-20+24 x^3+9 x^4+e^x (12 x^2+18 x^3+3 x^4)) \log (x)+(-400-480 x^3-144 e^{2 x} x^4-144 x^6+e^x (-480 x^2-288 x^5)) \log ^2(x)}{x^2+(-80 x+20 x^2-48 x^4+12 x^5+e^x (-48 x^3+12 x^4)) \log (x)+(1600-800 x+100 x^2+1920 x^3-960 x^4+120 x^5+576 x^6-288 x^7+36 x^8+e^{2 x} (576 x^4-288 x^5+36 x^6)+e^x (1920 x^2-960 x^3+120 x^4+1152 x^5-576 x^6+72 x^7)) \log ^2(x)} \, dx\) [174]
3.2.75 \(\int \genfrac {}{}{}{}{-27 x+42 x^2-9 x^3+(12-3 x) \log (20-5 x)}{-4+x} \, dx\) [175]
3.2.76 \(\int \genfrac {}{}{}{}{8 x^2 \log (x)+e^{\genfrac {}{}{}{}{2 (9-x+3 x^2-6 x \log (\log (x))+3 \log ^2(\log (x)))}{x}} (96 x+(144-48 x^2) \log (x)-96 \log (\log (x))+48 \log (x) \log ^2(\log (x)))}{e^{\genfrac {}{}{}{}{6 (9-x+3 x^2-6 x \log (\log (x))+3 \log ^2(\log (x)))}{x}} x^2 \log (x)-3 e^{\genfrac {}{}{}{}{4 (9-x+3 x^2-6 x \log (\log (x))+3 \log ^2(\log (x)))}{x}} x^3 \log (x)+3 e^{\genfrac {}{}{}{}{2 (9-x+3 x^2-6 x \log (\log (x))+3 \log ^2(\log (x)))}{x}} x^4 \log (x)-x^5 \log (x)} \, dx\) [176]
3.2.77 \(\int \genfrac {}{}{}{}{-8+8 x}{(-x+2 x^2) \log (\genfrac {}{}{}{}{50-100 x}{3 x^2})} \, dx\) [177]
3.2.78 \(\int \genfrac {}{}{}{}{e^{-x} (-24-30 x-6 x^2+e^x (-100 x^3-108 x^4-33 x^5-2 x^6+e^2 (-4 x^3-4 x^4-x^5)))}{4 x^3+4 x^4+x^5} \, dx\) [178]
3.2.79 \(\int \genfrac {}{}{}{}{-50+e^{12} (-5-2 x)+20 x+5 x^3+2 x^4+e^{3 x^2} (5+2 e^{20}+2 x)+e^8 (-10+15 x+6 x^2)+e^4 (-20+10 x-15 x^2-6 x^3)+e^{2 x^2} (-10+e^4 (-15-6 x)+55 x+26 x^2+e^{20} (-6 e^4+26 x))+e^{20} (-2 e^{12}+10 x+6 e^8 x+2 x^3+e^4 (-10-6 x^2))+e^{x^2} (20-110 x+55 x^2+26 x^3+e^8 (15+6 x)+e^4 (20-70 x-32 x^2)+e^{20} (10+6 e^8-32 e^4 x+26 x^2))}{-e^{12}+e^{3 x^2}+3 e^8 x-3 e^4 x^2+x^3+e^{2 x^2} (-3 e^4+3 x)+e^{x^2} (3 e^8-6 e^4 x+3 x^2)} \, dx\) [179]
3.2.80 \(\int \genfrac {}{}{}{}{1}{16} (1-31 x) \, dx\) [180]
3.2.81 \(\int \genfrac {}{}{}{}{51 e^4}{400+e^4 (800+51 x)} \, dx\) [181]
3.2.82 \(\int \genfrac {}{}{}{}{1}{16} (23 x^2+60 x^3-200 x^4+120 x^5+(10 x+60 x^2-80 x^3) \log (x)+10 x \log ^2(x)+x^{2 x} (40 x+40 x^2+40 x^2 \log (x))+x^x (-20 x-120 x^2+120 x^3+40 x^4+(-40 x-20 x^2-40 x^3+40 x^4) \log (x)-20 x^2 \log ^2(x))) \, dx\) [182]
3.2.83 \(\int \genfrac {}{}{}{}{2+e^x-8 x+18 x^2-16 x^3+5 x^4}{-9+e^x+2 x-4 x^2+6 x^3-4 x^4+x^5} \, dx\) [183]
3.2.84 \(\int \genfrac {}{}{}{}{-11 x-3 e^x x+(22 x-22 x^2+e^x (6 x-3 x^2-3 x^3)) \log (\genfrac {}{}{}{}{-1+x}{x})}{-1+x} \, dx\) [184]
3.2.85 \(\int \genfrac {}{}{}{}{1+e^{8/3} (-7-2 x)-7 x-2 x^2}{e^{8/3}+x} \, dx\) [185]
3.2.86 \(\int \genfrac {}{}{}{}{3970-2520 x-9360 x^2-6400 x^3-1440 x^4}{-33-463 x-315 x^2+298 x^3+316 x^4+72 x^5} \, dx\) [186]
3.2.87 \(\int \genfrac {}{}{}{}{-70 x-5 x^2+10 x^3+e^{-2+5 x+x^2} (-15+14 x-6 x^2+x^3)-5 e^{-2+5 x+x^2} x \log (x)}{15 x-5 x^2+e^{-2+5 x+x^2} (9 x^2-6 x^3+x^4)+e^{-2+5 x+x^2} (-15 x+5 x^2) \log (x)} \, dx\) [187]
3.2.88 \(\int \genfrac {}{}{}{}{x+x^3-3 x^4-2 x \log (x)}{4 x^4-12 x^5+9 x^6+(4 x^2-6 x^3+4 x^4-6 x^5) \log (x)+(1+2 x^2+x^4) \log ^2(x)} \, dx\) [188]
3.2.89 \(\int \genfrac {}{}{}{}{e^{e^x x} (5+e^x+x) (1+e^{2 x} (1+x)+e^x (6+6 x+x^2))+2 e^x x \log ^2(7)+(10 x+2 x^2) \log ^2(7)}{5+e^x+x} \, dx\) [189]
3.2.90 \(\int \genfrac {}{}{}{}{x-2 x \log (x)+(9+e^x (-3-3 x)+e^{x^2} (-3-6 x^2)) \log ^2(x)+3 \log ^3(x)}{3 \log ^2(x)} \, dx\) [190]
3.2.91 \(\int \genfrac {}{}{}{}{-25-10 x+e^{2+x} (5-3 x-x^2)+e^x (-25+15 x+9 x^2+x^3)}{25 x^2+10 x^3+x^4} \, dx\) [191]
3.2.92 \(\int \genfrac {}{}{}{}{e^x (3-5 x)+e^x (-1+2 x) \log (x)+(-3+2 x+(1-x) \log (x)) \log ^2(\log (3))}{4 e^x-4 e^x \log (x)+e^x \log ^2(x)} \, dx\) [192]
3.2.93 \(\int \genfrac {}{}{}{}{36+48 x+16 x^2+4 e^3 x^2+e^{3/2} (24 x+16 x^2)+(2 x^2+e^{3/2} x^2) \log (3)}{9 x^2+12 x^3+4 x^4+e^3 x^4+e^{3/2} (6 x^3+4 x^4)} \, dx\) [193]
3.2.94 \(\int \genfrac {}{}{}{}{e^{e^{\genfrac {}{}{}{}{-e^{2-4 x-x^2}-4 x}{x}}} (-10 x+e^{2+\genfrac {}{}{}{}{-e^{2-4 x-x^2}-4 x}{x}-4 x-x^2} (10+40 x+20 x^2))}{x^3} \, dx\) [194]
3.2.95 \(\int \genfrac {}{}{}{}{3 x^2+24 x^4+e^2 (2-x^2-8 x^4)+(6 x^2-2 e^2 x^2) \log (x)}{2 e^2 x} \, dx\) [195]
3.2.96 \(\int ((3200 x+1600 x^2+200 x^3+e^x (-1280 x^2-1920 x^3-720 x^4-80 x^5)+e^{2 x} (128 x^3+320 x^4+264 x^5+80 x^6+8 x^7)) \log (x)+(3200 x+2400 x^2+400 x^3+e^x (-1920 x^2-4480 x^3-2760 x^4-600 x^5-40 x^6)+e^{2 x} (256 x^3+928 x^4+1112 x^5+544 x^6+112 x^7+8 x^8)) \log ^2(x)) \, dx\) [196]
3.2.97 \(\int \genfrac {}{}{}{}{1}{81} e^{\genfrac {}{}{}{}{1}{81} (81 e^{-1+2 x}+e^{-1+x} (81 x^2+11250 x^5+390625 x^8))} (162 e^{-1+2 x}+e^{-1+x} (162 x+81 x^2+56250 x^4+11250 x^5+3125000 x^7+390625 x^8)) \, dx\) [197]
3.2.98 \(\int \genfrac {}{}{}{}{1}{9} e^{-6+\genfrac {}{}{}{}{4 x^2-4 x^3+x^4}{9 e^6}} (-8 x+12 x^2-4 x^3) \, dx\) [198]
3.2.99 \(\int \genfrac {}{}{}{}{2 x^2+e^{\genfrac {}{}{}{}{6+11 x+3 e^x x+3 x^2}{3 x}} (-2+x^2+e^x x^2)}{x^2} \, dx\) [199]
3.2.100 \(\int \genfrac {}{}{}{}{5 x-121 x^2+324 x^3+e^4 (-81+324 x)+(-18 x^2+72 x^3+e^4 (-18+72 x)) \log (-x+4 x^2)+(-x^2+4 x^3+e^4 (-1+4 x)) \log ^2(-x+4 x^2)}{-81 x^2+324 x^3+(-18 x^2+72 x^3) \log (-x+4 x^2)+(-x^2+4 x^3) \log ^2(-x+4 x^2)} \, dx\) [200]