3.20.1 \(\int \genfrac {}{}{}{}{e^{e^{16 x}} (6-12 x^2+e^{16 x} (96 x+704 x^2+192 x^3))}{9+132 x+520 x^2+264 x^3+36 x^4} \, dx\) [1901]
3.20.2 \(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{2 (3 e^x-3 x)}{-32+2 e^x+30 x-8 x^2}} (48-12 x^2+e^x (-96+72 x-12 x^2))}{256+e^{2 x}-480 x+353 x^2-120 x^3+16 x^4+e^x (-32+30 x-8 x^2)} \, dx\) [1902]
3.20.3 \(\int \genfrac {}{}{}{}{(64+32 x+12 x^2+x^3) \log (x) \log (\genfrac {}{}{}{}{1}{3} e^{\genfrac {}{}{}{}{-8-2 x+x^2}{16+4 x}} x)+(32+16 x+2 x^2) \log ^2(\genfrac {}{}{}{}{1}{3} e^{\genfrac {}{}{}{}{-8-2 x+x^2}{16+4 x}} x)}{16 x+8 x^2+x^3} \, dx\) [1903]
3.20.4 \(\int \genfrac {}{}{}{}{4096-256 x-64 x^2}{4 x^3+x^4+(128 x^2+32 x^3) \log (x)+(1024 x+256 x^2) \log ^2(x)+(-128 x^2-32 x^3+(-2048 x-512 x^2) \log (x)) \log (\genfrac {}{}{}{}{5 x^2}{4+x})+(1024 x+256 x^2) \log ^2(\genfrac {}{}{}{}{5 x^2}{4+x})} \, dx\) [1904]
3.20.5 \(\int \genfrac {}{}{}{}{(-12+30 x-24 x^2+(24-12 x) \log (2-x)) \log (x)+(72 x-96 x^2+14 x^3+24 x^4-8 x^5+(-96 x+64 x^2+24 x^3-16 x^4) \log (2-x)+(32 x-8 x^3) \log ^2(2-x)) \log (3 \log (x))+(72 x-114 x^2+47 x^3+4 x^4-4 x^5+(-96 x+88 x^2-4 x^3-8 x^4) \log (2-x)+(32 x-8 x^2-4 x^3) \log ^2(2-x)) \log (x) \log ^2(3 \log (x))}{(-72+36 x) \log (x)+(-72 x^2+84 x^3-24 x^4+(48 x^2-24 x^3) \log (2-x)) \log (x) \log ^2(3 \log (x))+(-18 x^4+33 x^5-20 x^6+4 x^7+(24 x^4-28 x^5+8 x^6) \log (2-x)+(-8 x^4+4 x^5) \log ^2(2-x)) \log (x) \log ^4(3 \log (x))} \, dx\) [1905]
3.20.6 \(\int \genfrac {}{}{}{}{-60 x+81 x^2+24 x^3+\genfrac {}{}{}{}{e^{-1+x} (-12+57 x+12 x^2)}{4+x}+(24-42 x-12 x^2+\genfrac {}{}{}{}{e^{-1+x} (-30-6 x)}{4+x}) \log (x+\genfrac {}{}{}{}{e^{-1+x}}{4+x})}{-4 x^2+15 x^3+4 x^4+\genfrac {}{}{}{}{e^{-1+x} (-4 x+15 x^2+4 x^3)}{4+x}+(-16 x^2-4 x^3+\genfrac {}{}{}{}{e^{-1+x} (-16 x-4 x^2)}{4+x}) \log (x+\genfrac {}{}{}{}{e^{-1+x}}{4+x})+(e^{-1+x}+4 x+x^2) \log ^2(x+\genfrac {}{}{}{}{e^{-1+x}}{4+x})} \, dx\) [1906]
3.20.7 \(\int \genfrac {}{}{}{}{7 x+2 x^2+(-6-2 x) \log (2)+(-2 x \log (2)+2 \log ^2(2)) \log (x)}{x} \, dx\) [1907]
3.20.8 \(\int \genfrac {}{}{}{}{(625+1500 x+1350 x^2+540 x^3+81 x^4) \log (2)+(625+1500 x+1350 x^2+540 x^3+81 x^4) \log ^2(2)+e^{2 x} (4 x^2+4 x^3+(4 x^3+x^4) \log (2)+x^4 \log ^2(2))+e^x (-10 x^2+22 x^3+18 x^4+(-100 x-170 x^2-96 x^3-18 x^4) \log (2)+(-50 x^2-60 x^3-18 x^4) \log ^2(2))+((50 x^2+60 x^3+18 x^4) \log (2)+(50 x^2+60 x^3+18 x^4) \log ^2(2)+e^x (-4 x^3+2 x^4+(-4 x^3-2 x^4) \log (2)-2 x^4 \log ^2(2))) \log (x)+(x^4 \log (2)+x^4 \log ^2(2)) \log ^2(x)}{(625+1500 x+1350 x^2+540 x^3+81 x^4) \log ^2(2)+e^{2 x} (4 x^2+4 x^3 \log (2)+x^4 \log ^2(2))+e^x ((-100 x-120 x^2-36 x^3) \log (2)+(-50 x^2-60 x^3-18 x^4) \log ^2(2))+((50 x^2+60 x^3+18 x^4) \log ^2(2)+e^x (-4 x^3 \log (2)-2 x^4 \log ^2(2))) \log (x)+x^4 \log ^2(2) \log ^2(x)} \, dx\) [1908]
3.20.9 \(\int \genfrac {}{}{}{}{-x^2+x^3+(2 e^x x+2 x^2) \log (e^x+x)}{x^3-4 x^4+4 x^5+e^x (x^2-4 x^3+4 x^4)+(2 x^2-4 x^3+e^x (2 x-4 x^2)) \log (e^x+x)+(e^x+x) \log ^2(e^x+x)} \, dx\) [1909]
3.20.10 \(\int \genfrac {}{}{}{}{e^x (-4+111 x-48 x^2-125 x^3+3 x^4+111 x^5-59 x^6+9 x^7)+(e^x (x+3 x^2+57 x^3+113 x^4-84 x^5-57 x^6+50 x^7-9 x^8)+e^x (-1-3 x-57 x^2-113 x^3+84 x^4+57 x^5-50 x^6+9 x^7) \log (\genfrac {}{}{}{}{1+x+56 x^2+2 x^3-32 x^4+9 x^5}{9+36 x+18 x^2-36 x^3+9 x^4})) \log (-x+\log (\genfrac {}{}{}{}{1+x+56 x^2+2 x^3-32 x^4+9 x^5}{9+36 x+18 x^2-36 x^3+9 x^4}))}{(x+3 x^2+57 x^3+113 x^4-84 x^5-57 x^6+50 x^7-9 x^8+(-1-3 x-57 x^2-113 x^3+84 x^4+57 x^5-50 x^6+9 x^7) \log (\genfrac {}{}{}{}{1+x+56 x^2+2 x^3-32 x^4+9 x^5}{9+36 x+18 x^2-36 x^3+9 x^4})) \log ^2(-x+\log (\genfrac {}{}{}{}{1+x+56 x^2+2 x^3-32 x^4+9 x^5}{9+36 x+18 x^2-36 x^3+9 x^4}))} \, dx\) [1910]
3.20.11 \(\int \genfrac {}{}{}{}{e^{4 x} (-256+64 x)+(16-5 x) \log (2)+(-256+64 x) \log ^2(2)+e^{2 x} (-16+37 x-8 x^2+(512-128 x) \log (2))+(e^{4 x} (-128+32 x)+(4-x) \log (2)+(-128+32 x) \log ^2(2)+e^{2 x} (-4+9 x-2 x^2+(256-64 x) \log (2))) \log (-\genfrac {}{}{}{}{4}{-4+x})+(e^{4 x} (-16+4 x)+e^{2 x} (32-8 x) \log (2)+(-16+4 x) \log ^2(2)) \log ^2(-\genfrac {}{}{}{}{4}{-4+x})}{e^{4 x} (-256-192 x+64 x^2)+(16 x-4 x^2) \log (2)+(-256-192 x+64 x^2) \log ^2(2)+e^{2 x} (-16 x+4 x^2+(512+384 x-128 x^2) \log (2))+(e^{4 x} (-128-96 x+32 x^2)+(4 x-x^2) \log (2)+(-128-96 x+32 x^2) \log ^2(2)+e^{2 x} (-4 x+x^2+(256+192 x-64 x^2) \log (2))) \log (-\genfrac {}{}{}{}{4}{-4+x})+(e^{4 x} (-16-12 x+4 x^2)+e^{2 x} (32+24 x-8 x^2) \log (2)+(-16-12 x+4 x^2) \log ^2(2)) \log ^2(-\genfrac {}{}{}{}{4}{-4+x})} \, dx\) [1911]
3.20.12 \(\int \genfrac {}{}{}{}{e^3 (-5-x)+e^3 (-5-x) \log (x)+5 e^3 \log (x) \log (x \log (x))+e^3 (4-10 x-x^2) \log (x) \log ^2(x \log (x))}{x^2 \log (x)+(-8 x-2 x^3) \log (x) \log (x \log (x))+(16+8 x^2+x^4) \log (x) \log ^2(x \log (x))} \, dx\) [1912]
3.20.13 \(\int \genfrac {}{}{}{}{8 x^2+(2 e^3-4 x^2) \log (e^3-2 x^2)+(4 e^3-8 x^2) \log ^2(e^3-2 x^2)}{(e^3-2 x^2) \log ^2(e^3-2 x^2)} \, dx\) [1913]
3.20.14 \(\int \genfrac {}{}{}{}{2450-189 x+x^2+e^{2 e^5 x+2 x^2} (49 e^5 x+98 x^2)+e^{e^5 x+x^2} (98-7 x+2450 x^2-14 x^3+e^5 (1225 x-7 x^2))+(98-7 x+e^{e^5 x+x^2} (49 e^5 x+98 x^2)) \log (x^2)}{49 x} \, dx\) [1914]
3.20.15 \(\int \genfrac {}{}{}{}{e^{-1/x} (-12 x^2+12 x \log (3)+(12 x+12 x^2-12 \log (3)) \log (x))}{x^2 \log ^2(x)} \, dx\) [1915]
3.20.16 \(\int \genfrac {}{}{}{}{1+3 x \log (4)+e^{3+e^{3-x \log (\genfrac {}{}{}{}{1}{27} (1+3 x \log (4)))}-x \log (\genfrac {}{}{}{}{1}{27} (1+3 x \log (4)))} (-3 x \log (4)+(-1-3 x \log (4)) \log (\genfrac {}{}{}{}{1}{27} (1+3 x \log (4))))}{1+3 x \log (4)} \, dx\) [1916]
3.20.17 \(\int \genfrac {}{}{}{}{25 x^2+10 x^3+x^4+(-80+e^2 (-5-2 x)-32 x) \log (3)}{25 x^2+10 x^3+x^4} \, dx\) [1917]
3.20.18 \(\int \genfrac {}{}{}{}{75 x^2+155 x^3+103 x^4+15 x^5+e^x (-6 x^2-10 x^3-10 x^4)+(500 x^3-40 e^x x^3+200 x^4+20 x^5) \log (25 x-2 e^x x+10 x^2+x^3)}{-125+10 e^x-50 x-5 x^2} \, dx\) [1918]
3.20.19 \(\int \genfrac {}{}{}{}{-4 x^3+e^5 (-6+18 x^2-18 x^4)}{x^2} \, dx\) [1919]
3.20.20 \(\int \genfrac {}{}{}{}{e^2+e^{e^{e+3 x+x^2}+x} (e^2 (1-2 x+x^2)+e^{2+e+3 x+x^2} (3-4 x-x^2+2 x^3))}{1-2 x+x^2} \, dx\) [1920]
3.20.21 \(\int \genfrac {}{}{}{}{48 x+116 x^2+58 x^3-14 x^4+(-48 x-84 x^2-47 x^3-7 x^4) \log (x)}{(-192-720 x-756 x^2-15 x^3+189 x^4-45 x^5+3 x^6) \log ^3(x)} \, dx\) [1921]
3.20.22 \(\int \genfrac {}{}{}{}{e^{x/5} (5-x)+(-5 x-125 x^2+e^{x/5} (5+125 x)) \log (\genfrac {}{}{}{}{-e^{x/5}+x}{x})}{(25 e^{x/5} x-25 x^2) \log (\genfrac {}{}{}{}{-e^{x/5}+x}{x})} \, dx\) [1922]
3.20.23 \(\int \genfrac {}{}{}{}{1-3 e^{23-3 x}}{\log (16)} \, dx\) [1923]
3.20.24 \(\int -\genfrac {}{}{}{}{3 e^{18}}{4 x^4} \, dx\) [1924]
3.20.25 \(\int -\genfrac {}{}{}{}{1}{x^2} \, dx\) [1925]
3.20.26 \(\int \genfrac {}{}{}{}{15 x^2-5 x^3-10 x^4+(20 x^2+80 x^3) \log (x)-160 x^2 \log ^2(x)+(70 x^2-15 x^3+20 x^4+(70 x-15 x^2+20 x^3) \log (5)+(-40 x^2-160 x^3+(-40 x-160 x^2) \log (5)) \log (x)+(320 x^2+320 x \log (5)) \log ^2(x)) \log (x+\log (5))}{(x-2 x^2+x^3+(1-2 x+x^2) \log (5)+(8 x-8 x^2+(8-8 x) \log (5)) \log (x)+(16 x+16 \log (5)) \log ^2(x)) \log ^2(x+\log (5))} \, dx\) [1926]
3.20.27 \(\int \genfrac {}{}{}{}{-1+2 e^x x^2 \log (5)+(-2 x^2+e^2 (8 x^2+4 x^3)) \log (5)-\log (\genfrac {}{}{}{}{4}{x})}{2 x^2 \log (5)} \, dx\) [1927]
3.20.28 \(\int \genfrac {}{}{}{}{-512-2304 x-2224 x^2+420 x^3+1044 x^4+52 x^5-180 x^6-12 x^7+12 x^8+(-1024-2048 x-288 x^2+1000 x^3+232 x^4-192 x^5-32 x^6+16 x^7) \log (x)+(-256-192 x+144 x^2+92 x^3-36 x^4-12 x^5+4 x^6) \log ^2(x)}{-64-48 x+36 x^2+23 x^3-9 x^4-3 x^5+x^6} \, dx\) [1928]
3.20.29 \(\int \genfrac {}{}{}{}{1}{4} (-4+e^{\genfrac {}{}{}{}{1}{4} (17 x-7 e^x x+2 x^2)} (17+e^x (-7-7 x)+4 x)) \, dx\) [1929]
3.20.30 \(\int (5-2 x) \, dx\) [1930]
3.20.31 \(\int \genfrac {}{}{}{}{1}{5} (-10 x+e^{1-2 x+x^2} (-8+8 x)) \, dx\) [1931]
3.20.32 \(\int \genfrac {}{}{}{}{3-48 x+32 x^2}{3 x-19 x^2+16 x^3} \, dx\) [1932]
3.20.33 \(\int \genfrac {}{}{}{}{9+60 e-66 x-47 x^2-8 x^3}{9+6 x+x^2} \, dx\) [1933]
3.20.34 \(\int \genfrac {}{}{}{}{48+e^{4 x} (24-48 x)+e^{e^2} (-16+e^{4 x} (-8+16 x))}{x^3} \, dx\) [1934]
3.20.35 \(\int \genfrac {}{}{}{}{-18+12 x^4-2 x^8+e^x (6 x^4-2 x^8)+e^x (24 x^4+6 x^5-2 x^9) \log (x)}{9 x-6 x^5+x^9} \, dx\) [1935]
3.20.36 \(\int \genfrac {}{}{}{}{16 x+8 x^2-7 x^3-2 x^4+x^5+e^{-\genfrac {}{}{}{}{2 x}{-4-x+x^2}} (48-16 x-21 x^2-5 x^3+7 x^4-x^5)+(-48-8 x+29 x^2-x^3-5 x^4+x^5) \log (-\genfrac {}{}{}{}{10}{-3+x})}{e^{-\genfrac {}{}{}{}{4 x}{-4-x+x^2}} (-48-8 x+29 x^2-x^3-5 x^4+x^5)+e^{-\genfrac {}{}{}{}{2 x}{-4-x+x^2}} (96+16 x-58 x^2+2 x^3+10 x^4-2 x^5) \log (-\genfrac {}{}{}{}{10}{-3+x})+(-48-8 x+29 x^2-x^3-5 x^4+x^5) \log ^2(-\genfrac {}{}{}{}{10}{-3+x})} \, dx\) [1936]
3.20.37 \(\int \genfrac {}{}{}{}{-8-12 x-4 x^2-100 x^4-50 x^5+(-4-4 x-300 x^3-150 x^4) \log (x)+(-300 x^2-150 x^3) \log ^2(x)+(-100 x-50 x^2) \log ^3(x)}{25 x^4+75 x^3 \log (x)+75 x^2 \log ^2(x)+25 x \log ^3(x)} \, dx\) [1937]
3.20.38 \(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{1}{5} (-4+2 x-\log (5))} (-180+72 x)-18 e^{\genfrac {}{}{}{}{1}{5} (-4+2 x-\log (5))} x \log (x^4)}{5 x} \, dx\) [1938]
3.20.39 \(\int \genfrac {}{}{}{}{-35+180 x^2+36 x^2 \log (3)+(-5+60 x^2+12 x^2 \log (3)) \log (x)+(5 x^2+x^2 \log (3)) \log ^2(x)}{36 x^2+12 x^2 \log (x)+x^2 \log ^2(x)} \, dx\) [1939]
3.20.40 \(\int \genfrac {}{}{}{}{1}{6} (24 x+36 x^2+e^{3+2 x} (3 x^2+2 x^3)) \, dx\) [1940]
3.20.41 \(\int \genfrac {}{}{}{}{e^{-16+x} (-13+39 x+11 x^2-x^3)-13 e^{-16+x} x \log (x)}{13 x} \, dx\) [1941]
3.20.42 \(\int \genfrac {}{}{}{}{e^{4-x+x^2} (5 x^2-x^3+(-15 x^2+7 x^3-11 x^4+2 x^5) \log (x) \log (\log (x)))}{(225-90 x+9 x^2) \log (x) \log ^2(\log (x))} \, dx\) [1942]
3.20.43 \(\int \genfrac {}{}{}{}{e^{-2 x} (-7 e^{5+2 x}+e^5 (2 x^2-6 x^3+2 x^4)+e^{5+2 x} \log (x^2))}{x^2} \, dx\) [1943]
3.20.44 \(\int \genfrac {}{}{}{}{(6 x^2+2 x^3) \log (1-x)+(3+x-4 x^2) \log ^2(1-x)+((6 x+2 x^2) \log (1-x)+(-x+x^2) \log ^2(1-x)) \log (x)}{-x^3+x^4+(-2 x^2+2 x^3) \log (x)+(-x+x^2) \log ^2(x)} \, dx\) [1944]
3.20.45 \(\int \genfrac {}{}{}{}{-2-2 x-3 x^2+(-2-4 x) \log (x)-\log ^2(x)+(2+x^2+2 x \log (x)+\log ^2(x)) \log (\genfrac {}{}{}{}{1}{2} (2 x+x^3+2 x^2 \log (x)+x \log ^2(x)))}{(2+x^2+2 x \log (x)+\log ^2(x)) \log ^2(\genfrac {}{}{}{}{1}{2} (2 x+x^3+2 x^2 \log (x)+x \log ^2(x)))} \, dx\) [1945]
3.20.46 \(\int \genfrac {}{}{}{}{216-900 x+630 x^2+72 x^3-92 x^4-x^5+3 x^6+(-18+204 x-52 x^2-20 x^3+2 x^4) \log (x)+(-11 x-x^2) \log ^2(x)+(-144+906 x-254 x^2-184 x^3+22 x^4+9 x^5+(6-108 x-8 x^2+6 x^3) \log (x)+x \log ^2(x)) \log (3+x)+(24-322 x-48 x^2+45 x^3+9 x^4+(14 x+4 x^2) \log (x)) \log ^2(3+x)+(40 x+22 x^2+3 x^3) \log ^3(3+x)}{-27 x+27 x^2-9 x^3+x^4+(27 x-18 x^2+3 x^3) \log (3+x)+(-9 x+3 x^2) \log ^2(3+x)+x \log ^3(3+x)} \, dx\) [1946]
3.20.47 \(\int \genfrac {}{}{}{}{1}{2} (-2 e^x+12 x^2+60 x^3+100 x^4+52 x^5+(9 x+60 x^2+142 x^3+116 x^4+25 x^5) \log (x)+(9 x+45 x^2+72 x^3+43 x^4+3 x^5) \log ^2(x)+(9 x^2+18 x^3+5 x^4) \log ^3(x)+2 x^3 \log ^4(x)) \, dx\) [1947]
3.20.48 \(\int \genfrac {}{}{}{}{e^{-x} (e^x (-8-4 x)+20 x+(-40 x+30 x^2-5 x^3+e^x (8+6 x-2 x^2)) \log (\genfrac {}{}{}{}{4-x}{x}))}{-4+x} \, dx\) [1948]
3.20.49 \(\int \genfrac {}{}{}{}{4-27 x-8 x^2-16 x^4}{x} \, dx\) [1949]
3.20.50 \(\int \genfrac {}{}{}{}{e^{-x} (x-x^2+e^x (x-60 x^2)-22 e^x x^2 \log (x)-2 e^x x^2 \log ^2(x)+e^{e^x} (10 e^x+25 e^{2 x} x+(2 e^x+10 e^{2 x} x) \log (x)+e^{2 x} x \log ^2(x)))}{x} \, dx\) [1950]
3.20.51 \(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{16+16 e^x+3 x^2+16 \log ^2(3)-3 x^2 \log ^2(x)}{1+e^x+\log ^2(3)}} (6 x+e^x (6 x-3 x^2)+6 x \log ^2(3)+(-6 x-6 e^x x-6 x \log ^2(3)) \log (x)+(-6 x+e^x (-6 x+3 x^2)-6 x \log ^2(3)) \log ^2(x))}{1+e^{2 x}+2 \log ^2(3)+\log ^4(3)+e^x (2+2 \log ^2(3))} \, dx\) [1951]
3.20.52 \(\int \genfrac {}{}{}{}{-60+169 x^2+(-5+26 x^2) \log ^2(4)+x^2 \log ^4(4)+(5-26 x^2-2 x^2 \log ^2(4)) \log (x)+x^2 \log ^2(x)}{169 x^2+26 x^2 \log ^2(4)+x^2 \log ^4(4)+(-26 x^2-2 x^2 \log ^2(4)) \log (x)+x^2 \log ^2(x)} \, dx\) [1952]
3.20.53 \(\int \genfrac {}{}{}{}{2-e^{25}+e^x (-1+x)}{5 x^2} \, dx\) [1953]
3.20.54 \(\int \genfrac {}{}{}{}{100+560 x+960 x^2+504 x^3-48 x^4-96 x^5-64 x^6+e^{3 x^2} (8 x^3-x^6)+(-130-464 x-384 x^2+12 x^3+48 x^4+48 x^5) \log ^2(5)+(56+96 x-6 x^3-12 x^4) \log ^4(5)+(-8+x^3) \log ^6(5)+e^{2 x^2} (60 x^2+96 x^3+8 x^4-6 x^5-12 x^6+(-24 x^2+3 x^5) \log ^2(5))+e^{x^2} (140 x+480 x^2+404 x^3+20 x^4-48 x^5-48 x^6+(-116 x-192 x^2-8 x^3+12 x^4+24 x^5) \log ^2(5)+(24 x-3 x^4) \log ^4(5))}{8 x^3+48 x^4+96 x^5+64 x^6+e^{3 x^2} x^6+(-12 x^3-48 x^4-48 x^5) \log ^2(5)+(6 x^3+12 x^4) \log ^4(5)-x^3 \log ^6(5)+e^{2 x^2} (6 x^5+12 x^6-3 x^5 \log ^2(5))+e^{x^2} (12 x^4+48 x^5+48 x^6+(-12 x^4-24 x^5) \log ^2(5)+3 x^4 \log ^4(5))} \, dx\) [1954]
3.20.55 \(\int \genfrac {}{}{}{}{e^x (-7+x+9 x^2+x^3-x^4)+e^x (7-9 x-2 x^2+x^3) \log (x)}{49 x^2-14 x^3-13 x^4+2 x^5+x^6} \, dx\) [1955]
3.20.56 \(\int \genfrac {}{}{}{}{x^2+e^{\genfrac {}{}{}{}{2}{x^2}} (4+x^2)+(x^2+e^{\genfrac {}{}{}{}{2}{x^2}} x^2) \log (\genfrac {}{}{}{}{1+e^{\genfrac {}{}{}{}{2}{x^2}}}{5 x})+\log ^2(\genfrac {}{}{}{}{1+e^{\genfrac {}{}{}{}{2}{x^2}}}{5 x}) (x^2+e^{\genfrac {}{}{}{}{2}{x^2}} x^2+e^x (x^2+x^3+e^{\genfrac {}{}{}{}{2}{x^2}} (x^2+x^3))+(x^2+e^{\genfrac {}{}{}{}{2}{x^2}} x^2) \log (x))}{(x^2+e^{\genfrac {}{}{}{}{2}{x^2}} x^2) \log ^2(\genfrac {}{}{}{}{1+e^{\genfrac {}{}{}{}{2}{x^2}}}{5 x})} \, dx\) [1956]
3.20.57 \(\int \genfrac {}{}{}{}{1-6 x+3 x^2+e^x (-2-2 x+2 x^2)+e^{4 x} (-2-8 x+8 x^2+e^x (-12+10 x))}{1-2 x+x^2} \, dx\) [1957]
3.20.58 \(\int \genfrac {}{}{}{}{1}{5} e^{-x-\genfrac {}{}{}{}{2}{5} e^{-x} (5 e^{2 x}-4 x+5 e^x x)} (32 x^2-40 e^{2 x} x^2-32 x^3+e^x (40 x-40 x^2)) \, dx\) [1958]
3.20.59 \(\int \genfrac {}{}{}{}{4-2 x+e^x (-4+2 x)+(12-18 x+12 x^2+e^x (-12+14 x-10 x^2)) \log (x)+(-8+e^x (8-8 x)+8 x) \log (x) \log ((x-e^x x) \log (x))}{(8 x^3-12 x^4+6 x^5-x^6+e^x (-8 x^3+12 x^4-6 x^5+x^6)) \log (x)} \, dx\) [1959]
3.20.60 \(\int \genfrac {}{}{}{}{-1-18 e^4-81 e^8+(6 e^4+54 e^8) \log (20)-9 e^8 \log ^2(20)}{e^8 x^2} \, dx\) [1960]
3.20.61 \(\int (1-e^x+2 e^4 x+3 x^2) \, dx\) [1961]
3.20.62 \(\int \genfrac {}{}{}{}{-5-5 x^2+(-5-15 x^2) \log (x)+(2+6 x^2) \log ^2(x)}{(-5 x-5 x^3) \log (x)+(2 x+2 x^3) \log ^2(x)} \, dx\) [1962]
3.20.63 \(\int \genfrac {}{}{}{}{-24+9 (6-2 x) (6-x)+4 x+(6-x) (i \pi +\log (-2+e^4))}{-6+x} \, dx\) [1963]
3.20.64 \(\int \genfrac {}{}{}{}{2960 x+1865 x^2+300 x^3+15 x^4+e^x (640 x+480 x^2+90 x^3+5 x^4)}{64+16 x+x^2} \, dx\) [1964]
3.20.65 \(\int e^{-4 x-x^2} (-16+e^{4 x+x^2} (2-2 x)-8 x) \, dx\) [1965]
3.20.66 \(\int \genfrac {}{}{}{}{1}{10} (-10+6 x^3-7 x^3 \log (x)+2 x^3 \log ^2(x)) \, dx\) [1966]
3.20.67 \(\int \genfrac {}{}{}{}{(-405+2 x+x^2) \log (\genfrac {}{}{}{}{1}{2} (405-2 x-x^2))+\log (x) (2 x+2 x^2+(405-2 x-x^2) \log (\genfrac {}{}{}{}{1}{2} (405-2 x-x^2)))}{(-810 x^2+4 x^3+2 x^4) \log (2)} \, dx\) [1967]
3.20.68 \(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{256}{\log ^2(5-2 x-x^2+\log (x))}} (-512+1024 x+1024 x^2)}{(5 x-2 x^2-x^3+x \log (x)) \log ^3(5-2 x-x^2+\log (x))} \, dx\) [1968]
3.20.69 \(\int \genfrac {}{}{}{}{-18-30 x+6 x^2+20 x^3+4 x^4+e^{2 e^x} (-2 x^3+e^x (2 x^3+2 x^4))+(-6 x-16 x^2-2 x^3+4 x^4) \log (x)-2 x^3 \log ^2(x)+e^{e^x} (-6 x-16 x^2-2 x^3+4 x^4+e^x (6 x^2+6 x^3-4 x^4-4 x^5)+(-4 x^3+e^x (2 x^3+2 x^4)) \log (x))}{9 x^3+27 x^4+27 x^5+9 x^6} \, dx\) [1969]
3.20.70 \(\int \genfrac {}{}{}{}{1}{80} 3^{5+x^2} x^{-10-x^2} (81+9 x^2+18 x^2 \log (\genfrac {}{}{}{}{x}{3})) \, dx\) [1970]
3.20.71 \(\int \genfrac {}{}{}{}{-2 x+e^{3+x} x (-2-2 x+x^2)}{-2 x^2+x^3+e^{3+x} x (-2 x+x^2)} \, dx\) [1971]
3.20.72 \(\int -\genfrac {}{}{}{}{440}{576+4 e^{16}-2640 x+3025 x^2+e^8 (-96+220 x)} \, dx\) [1972]
3.20.73 \(\int \genfrac {}{}{}{}{-3125+6250 x-1250 x^2+9225 x^3-4 x^4}{3125 x} \, dx\) [1973]
3.20.74 \(\int \genfrac {}{}{}{}{14+25 e^{-5+e^5-x} (-2-x)}{x^3} \, dx\) [1974]
3.20.75 \(\int \genfrac {}{}{}{}{-4+e^x (-200 x+50 x^2)}{-4 x+x^2} \, dx\) [1975]
3.20.76 \(\int \genfrac {}{}{}{}{1}{3} (-6 x+e^{x/3} (6+x+e^4 (3+x)+e^2 (6+2 x))+e^{x/3} (3+x) \log (x)) \, dx\) [1976]
3.20.77 \(\int \genfrac {}{}{}{}{-810+81 x^3+18 x^6 \log (x)+(180 x^4+36 x^6-18 x^7) \log ^2(x)+(-10 x^8+x^{11}) \log ^4(x)}{81 x^3-18 x^7 \log ^2(x)+x^{11} \log ^4(x)} \, dx\) [1977]
3.20.78 \(\int \genfrac {}{}{}{}{3 e^8+2 e^{13}-9 x-6 x^2-x^3+e^4 (-9-6 x-x^2)+(-6 e^4 x-4 e^9 x) \log (x)+(3 x^2+2 e^5 x^2) \log ^2(x)}{e^8 (9+6 x+x^2)+e^4 (-18 x-12 x^2-2 x^3) \log (x)+(9 x^2+6 x^3+x^4) \log ^2(x)} \, dx\) [1978]
3.20.79 \(\int e^{-e^3-e^x x+2 x^3-2 x^2 \log (x)} (-1-10 x+32 x^2-6 x^3+e^x (-5-4 x+x^2)+(-20 x+4 x^2) \log (x)) \, dx\) [1979]
3.20.80 \(\int \genfrac {}{}{}{}{1}{8} (10+9 x-18 x^2+e^2 (-2+4 x)+e^{-4+x} (-2-14 x-6 x^2+e^2 (2+2 x))) \, dx\) [1980]
3.20.81 \(\int \genfrac {}{}{}{}{-240 e^4-360 x+240 x^2}{9-24 x+16 x^2} \, dx\) [1981]
3.20.82 \(\int -\genfrac {}{}{}{}{e^{2-x}}{81} \, dx\) [1982]
3.20.83 \(\int \genfrac {}{}{}{}{3+5 x^2+2 x^3+(3+x-5 x^2-x^3) \log (\genfrac {}{}{}{}{3+x-5 x^2-x^3}{x})}{-3 x^2-x^3+5 x^4+x^5} \, dx\) [1983]
3.20.84 \(\int \genfrac {}{}{}{}{-5 x^2+e^{e^{\genfrac {}{}{}{}{4}{x^2}}} (e^{\genfrac {}{}{}{}{4}{x^2}} (120-24 x)-15 x^2)}{x^4+6 e^{e^{\genfrac {}{}{}{}{4}{x^2}}} x^4+9 e^{2 e^{\genfrac {}{}{}{}{4}{x^2}}} x^4} \, dx\) [1984]
3.20.85 \(\int \genfrac {}{}{}{}{1200+e^x (-1200-25 x)+25 x-50 \log (\genfrac {}{}{}{}{48+x}{12})}{48+x} \, dx\) [1985]
3.20.86 \(\int \genfrac {}{}{}{}{-x+(32+2 x) \log (16+x)}{-64 x^3-4 x^4+(64 x+4 x^2) \log (16+x)+(-16 x^3-x^4+(16 x+x^2) \log (16+x)) \log (\genfrac {}{}{}{}{e^3 x^2}{-x^2 \log (2)+\log (2) \log (16+x)})} \, dx\) [1986]
3.20.87 \(\int \genfrac {}{}{}{}{e^6-4 x^2-2 e^8 x^2-6 x^3+e^4 (6 x^2+3 x^3)}{e^6 x} \, dx\) [1987]
3.20.88 \(\int \genfrac {}{}{}{}{1}{2} (7+2 e^x) \, dx\) [1988]
3.20.89 \(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{2 (-2+x \log (\genfrac {}{}{}{}{3-2 x+e^{\genfrac {}{}{}{}{4}{621+50 x+x^2}} x}{x}))}{x}} (4627692-4653774 x-824496 x^2-51188 x^3-1388 x^4-14 x^5+e^{\genfrac {}{}{}{}{4}{621+50 x+x^2}} (1542564 x+248400 x^2+14568 x^3+384 x^4+4 x^5))}{1156923 x^2-584982 x^3-112974 x^4-7184 x^5-197 x^6-2 x^7+e^{\genfrac {}{}{}{}{4}{621+50 x+x^2}} (385641 x^3+62100 x^4+3742 x^5+100 x^6+x^7)} \, dx\) [1989]
3.20.90 \(\int \genfrac {}{}{}{}{6 x^3+3 x^2 \log (2)+(9 x^3+9 x^2 \log (2)) \log (\genfrac {}{}{}{}{1}{4} (x^2+x \log (2)))}{10 x+10 \log (2)} \, dx\) [1990]
3.20.91 \(\int \genfrac {}{}{}{}{e^4 x^2-e x^4+e^x (-48+16 x+(-16 x+8 x^2) \log (5)+(-x^2+x^3) \log ^2(5))}{e x^4} \, dx\) [1991]
3.20.92 \(\int \genfrac {}{}{}{}{-10000-30000 x-19600 x^2+200 x^3+792 x^5-24 x^6+48 x^7+64 x^8+e^4 (16 x^5+32 x^6)+e^2 (400 x^2+800 x^3+8 x^5-64 x^6-96 x^7)}{x^5} \, dx\) [1992]
3.20.93 \(\int \genfrac {}{}{}{}{40 x^3+42 x^4-2 x^6+e^{3 x} (2 x+6 x^2+2 x^3)+e^{2 x} (20 x+38 x^2-32 x^3-16 x^4)+e^x (50 x+40 x^2-182 x^3-24 x^4+16 x^5)+(-8 x^3-10 x^4-2 x^5+e^{2 x} (-4 x-10 x^2+2 x^3+2 x^4)+e^x (-20 x-28 x^2+60 x^3+20 x^4-2 x^5)) \log (9+27 x+9 x^2)+e^x (2 x+4 x^2-4 x^3-2 x^4) \log ^2(9+27 x+9 x^2)}{-x^3-3 x^4-x^5+e^{3 x} (1+3 x+x^2)+e^{2 x} (-3 x-9 x^2-3 x^3)+e^x (3 x^2+9 x^3+3 x^4)} \, dx\) [1993]
3.20.94 \(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{(-9 x-27 x^2) \log ^2(3)}{-x-x^2+e^4 (1+3 x)}} (x^2+2 x^3+x^4+e^8 (1+6 x+9 x^2)+e^4 (-2 x-8 x^2-6 x^3)+(18 x^3+e^4 (-9 x-54 x^2-81 x^3)) \log ^2(3))}{x^2+2 x^3+x^4+e^8 (1+6 x+9 x^2)+e^4 (-2 x-8 x^2-6 x^3)} \, dx\) [1994]
3.20.95 \(\int \genfrac {}{}{}{}{1+54 x^4+144 x^5+90 x^6-567 x^8-1296 x^9-729 x^{10}+e^{-4+2 x} (1-2 x+54 x^4+36 x^5-567 x^8-162 x^9)+e^{-2+x} (2-2 x-2 x^2+108 x^4+180 x^5+36 x^6-1134 x^8-1458 x^9-162 x^{10})}{x^2} \, dx\) [1995]
3.20.96 \(\int \genfrac {}{}{}{}{20^{\genfrac {}{}{}{}{1}{\log (\genfrac {}{}{}{}{1}{16} (64+16 x+x^2+(-64-8 x) \log (3+e^{e^x})+16 \log ^2(3+e^{e^x})))}} (6 \log (20)+e^{e^x} (2 \log (20)-8 e^x \log (20)))}{(-24+e^{e^x} (-8-x)-3 x+(12+4 e^{e^x}) \log (3+e^{e^x})) \log ^2(\genfrac {}{}{}{}{1}{16} (64+16 x+x^2+(-64-8 x) \log (3+e^{e^x})+16 \log ^2(3+e^{e^x})))} \, dx\) [1996]
3.20.97 \(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{-x-x^2+e^x (10+5 x-5 x^2)}{x \log (3)}} (-x^2+e^x (-10+10 x-5 x^3))+x^2 \log (3)}{x^2 \log (3)} \, dx\) [1997]
3.20.98 \(\int \genfrac {}{}{}{}{-225-30 x-4 x^2-6 x^3-x^4+e^{12} (-625-250 x-25 x^2)+e^9 (-2000-525 x+50 x^2+15 x^3)+e^3 (-1200-215 x+40 x^2+4 x^3-2 x^4)+e^6 (-2350-500 x+115 x^2+25 x^3-x^4)}{225 x+240 x^2+94 x^3+16 x^4+x^5+e^{12} (625 x+250 x^2+25 x^3)+e^9 (2000 x+1150 x^2+200 x^3+10 x^4)+e^6 (2350 x+1750 x^2+435 x^3+40 x^4+x^5)+e^3 (1200 x+1090 x^2+350 x^3+46 x^4+2 x^5)} \, dx\) [1998]
3.20.99 \(\int \genfrac {}{}{}{}{e^{-\genfrac {}{}{}{}{-3 x+5 e^2 x \log (x)}{\log (x)}} (4 \log ^2(x)+(-3 x+3 x \log (x)-5 e^2 x \log ^2(x)) \log (16 x^4))}{x \log ^2(x)} \, dx\) [1999]
3.20.100 \(\int \genfrac {}{}{}{}{1-2 \log (x)}{2 e} \, dx\) [2000]