3.21.1 \(\int (-60-e^x+178 x-72 x^2+64 x^3) \, dx\) [2001]
3.21.2 \(\int \genfrac {}{}{}{}{e^x (-40 x+192 x^2-156 x^3-20 x^4+18 x^5)+e^{2 x} (-40 x^2+36 x^3+56 x^4-42 x^5-16 x^6+6 x^7)+(-40+192 x-156 x^2-20 x^3+18 x^4+e^x (-40 x+36 x^2+56 x^3-42 x^4-16 x^5+6 x^6)) \log (\genfrac {}{}{}{}{10 x-24 x^2+17 x^3-3 x^4}{2+x})}{-20 x+38 x^2-10 x^3-11 x^4+3 x^5} \, dx\) [2002]
3.21.3 \(\int \genfrac {}{}{}{}{e^3+2 e^{5-x^2} x}{-3+e^{5-x^2}+e^3 (-2-x)} \, dx\) [2003]
3.21.4 \(\int \genfrac {}{}{}{}{51+15 e^{2+x}-3 x+(3 x-15 e^{2+x} x) \log (x)}{4624 x+400 e^{4+2 x} x-544 x^2+16 x^3+e^{2+x} (2720 x-160 x^2)} \, dx\) [2004]
3.21.5 \(\int \genfrac {}{}{}{}{-25 e^2+x^2}{25 e^2 x+x^3} \, dx\) [2005]
3.21.6 \(\int \genfrac {}{}{}{}{2 x-x^2-4 x^4+2 x^4 \log (5)+(-1-4 x^2+2 x^2 \log (5)) \log (\log (2))+(4 x^3-2 x^3 \log (5)+(4 x-2 x \log (5)) \log (\log (2))) \log (x^2+\log (\log (2)))}{-x^3-x \log (\log (2))+(x^2+\log (\log (2))) \log (x^2+\log (\log (2)))} \, dx\) [2006]
3.21.7 \(\int \genfrac {}{}{}{}{1}{9} (4 e^2 x^3+400 e x^7+7500 x^{11}) \, dx\) [2007]
3.21.8 \(\int \genfrac {}{}{}{}{e^{-x} (6+8 x-e x-2 x^2-3 x \log (32 x^2))}{3 x} \, dx\) [2008]
3.21.9 \(\int \genfrac {}{}{}{}{e^{4 x} (-392 x-28 x^2+812 x^3+114 x^4+4 x^5)+e^{4 x} (364 x+868 x^2+230 x^3+12 x^4) \log (3 x)+e^{4 x} (56 x+118 x^2+12 x^3) \log ^2(3 x)+e^{4 x} (2 x+4 x^2) \log ^3(3 x)}{x^3+3 x^2 \log (3 x)+3 x \log ^2(3 x)+\log ^3(3 x)} \, dx\) [2009]
3.21.10 \(\int \genfrac {}{}{}{}{(-126-447 x-576 x^2-320 x^3-64 x^4) \log (\genfrac {}{}{}{}{2}{2+x})-2 \log (\log (\genfrac {}{}{}{}{2}{2+x}))}{(-28-140 x-255 x^2-224 x^3-96 x^4-16 x^5) \log (\genfrac {}{}{}{}{2}{2+x})+(2+x) \log (\genfrac {}{}{}{}{2}{2+x}) \log ^2(\log (\genfrac {}{}{}{}{2}{2+x}))} \, dx\) [2010]
3.21.11 \(\int \genfrac {}{}{}{}{4 x+24 \log (3)}{3 x} \, dx\) [2011]
3.21.12 \(\int \genfrac {}{}{}{}{-4 x+3 x^2+e^3 (2 x-x^2)+e^5 (4-12 x+13 x^2-6 x^3+x^4+e^6 (1-2 x+x^2)+e^3 (-4+10 x-8 x^2+2 x^3))}{4-12 x+13 x^2-6 x^3+x^4+e^6 (1-2 x+x^2)+e^3 (-4+10 x-8 x^2+2 x^3)} \, dx\) [2012]
3.21.13 \(\int \genfrac {}{}{}{}{-57+2 x+19 x^2+(-6+2 x^2) \log (x)}{9 x^3-6 x^4+x^5} \, dx\) [2013]
3.21.14 \(\int \genfrac {}{}{}{}{-25+9 x^2-5 e^x x^2}{5 x^2} \, dx\) [2014]
3.21.15 \(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{1}{8} (16-9 x)} (-24-9 x)}{4 x^4} \, dx\) [2015]
3.21.16 \(\int \genfrac {}{}{}{}{-9 x^2-18 x^3-6 x^5-12 x^6-6 x^7+e^{12+x} (9+15 x+3 x^2-3 x^3)}{x^4+2 x^5+x^6} \, dx\) [2016]
3.21.17 \(\int (-2-2 x+10 x^2+4 x^3+(-2-4 x+30 x^2+16 x^3) \log (x)) \, dx\) [2017]
3.21.18 \(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{16613776 x+64 x^2-99128320 x^3+275697112 x^5-474425152 x^7+565203905 x^9-494075008 x^{11}+327641456 x^{13}-168042748 x^{15}+67334568 x^{17}-21141456 x^{19}+5182726 x^{21}-981456 x^{23}+140752 x^{25}-14780 x^{27}+1072 x^{29}-48 x^{31}+x^{33}}{16613776-99128320 x^2+275697112 x^4-474425152 x^6+565203905 x^8-494075008 x^{10}+327641456 x^{12}-168042748 x^{14}+67334568 x^{16}-21141456 x^{18}+5182726 x^{20}-981456 x^{22}+140752 x^{24}-14780 x^{26}+1072 x^{28}-48 x^{30}+x^{32}}} (67717750976+521728 x-606070548480 x^2+1556480 x^3+2589662421168 x^4-6021504 x^5-7030327854208 x^6+7306240 x^7+13612565902404 x^8-4580352 x^9-20004182838240 x^{10}+1656576 x^{11}+23178449018625 x^{12}-349184 x^{13}-21715716703800 x^{14}+39936 x^{15}+16738275785880 x^{16}-1920 x^{17}-10743242067610 x^{18}+5789669721888 x^{20}-2633985825000 x^{22}+1014667266639 x^{24}-331262302464 x^{26}+91550677392 x^{28}-21348937708 x^{30}+4177029780 x^{32}-679887504 x^{34}+90941519 x^{36}-9823272 x^{38}+835464 x^{40}-53850 x^{42}+2472 x^{44}-72 x^{46}+x^{48})}{67717750976-606070548480 x^2+2589662421168 x^4-7030327854208 x^6+13612565902404 x^8-20004182838240 x^{10}+23178449018625 x^{12}-21715716703800 x^{14}+16738275785880 x^{16}-10743242067610 x^{18}+5789669721888 x^{20}-2633985825000 x^{22}+1014667266639 x^{24}-331262302464 x^{26}+91550677392 x^{28}-21348937708 x^{30}+4177029780 x^{32}-679887504 x^{34}+90941519 x^{36}-9823272 x^{38}+835464 x^{40}-53850 x^{42}+2472 x^{44}-72 x^{46}+x^{48}} \, dx\) [2018]
3.21.19 \(\int \genfrac {}{}{}{}{((40-5 x-20 x^2) \log (x)+(-10+5 x^2) \log ^2(x)) \log ^2(\log (x))+e^{\genfrac {}{}{}{}{x}{\log (\log (x))}} (x^2-x^2 \log (x) \log (\log (x))+(-2+x^2) \log (x) \log ^2(\log (x)))}{e^{\genfrac {}{}{}{}{x}{\log (\log (x))}} x^2 \log (x) \log ^2(\log (x))+(-20 x^2 \log (x)+5 x^2 \log ^2(x)) \log ^2(\log (x))} \, dx\) [2019]
3.21.20 \(\int \genfrac {}{}{}{}{(-5 x-4 x^2) \log (x)+(-16-20 x-8 x^2) \log (x) \log (x^2)+(4+5 x+2 x^2) \log ^2(x^2)+(-4 x-5 x^2-2 x^3) \log ^4(x^2)+(4+5 x+2 x^2+(-8 x-10 x^2-4 x^3) \log ^2(x^2)) \log (4+5 x+2 x^2)+(-4 x-5 x^2-2 x^3) \log ^2(4+5 x+2 x^2)}{(4 x+5 x^2+2 x^3) \log ^4(x^2)+(8 x+10 x^2+4 x^3) \log ^2(x^2) \log (4+5 x+2 x^2)+(4 x+5 x^2+2 x^3) \log ^2(4+5 x+2 x^2)} \, dx\) [2020]
3.21.21 \(\int \genfrac {}{}{}{}{-99+6 x-10891 x^2+660 x^3-10 x^4+(33-2 x) \log (2)}{5445 x^2-330 x^3+5 x^4} \, dx\) [2021]
3.21.22 \(\int \genfrac {}{}{}{}{-1+4 x \log (x)}{x \log (x)} \, dx\) [2022]
3.21.23 \(\int (3-\log (x)-\log (\genfrac {}{}{}{}{\log (2)}{5 x})) \, dx\) [2023]
3.21.24 \(\int \genfrac {}{}{}{}{1}{8} (200 x+75 x^2+4 x^3+e^{2-2 x} (40 x-28 x^2-8 x^3)+(-40 x-12 x^2) \log (5)) \, dx\) [2024]
3.21.25 \(\int \genfrac {}{}{}{}{32}{3} e^{3+\sqrt [4]{e}} \, dx\) [2025]
3.21.26 \(\int \genfrac {}{}{}{}{e^x (1280-288 x-144 x^2+32 x^3+16 x^4+e^{20} (-32 x+16 x^2)+e^{10} (192 x-32 x^3)-256 \log (2))}{6400+1440 x^2+960 x^3+241 x^4+e^{40} x^4+108 x^5+54 x^6+12 x^7+x^8+e^{30} (-12 x^4-4 x^5)+e^{20} (160 x^2+54 x^4+36 x^5+6 x^6)+e^{10} (-960 x^2-320 x^3-108 x^4-108 x^5-36 x^6-4 x^7)+(-2560-288 x^2-32 e^{20} x^2-192 x^3-32 x^4+e^{10} (192 x^2+64 x^3)) \log (2)+256 \log ^2(2)} \, dx\) [2026]
3.21.27 \(\int \genfrac {}{}{}{}{4+4 x}{e^9-2 x-x^2+\log (5)} \, dx\) [2027]
3.21.28 \(\int \genfrac {}{}{}{}{(12 x+12 e^x x) \log (48+3 e^{2 x}+24 x+3 x^2+e^x (24+6 x))+(-12-3 e^x-3 x) \log ^2(48+3 e^{2 x}+24 x+3 x^2+e^x (24+6 x))}{16 x^2+4 e^x x^2+4 x^3} \, dx\) [2028]
3.21.29 \(\int \genfrac {}{}{}{}{-2+x}{x} \, dx\) [2029]
3.21.30 \(\int \genfrac {}{}{}{}{4 x \log (3 x^2)+2 x \log ^2(3 x^2)}{-9+x^2 \log ^2(3 x^2)} \, dx\) [2030]
3.21.31 \(\int \genfrac {}{}{}{}{2 e^x-16 e^{4 x^2} x}{e^{2 x}+e^{8 x^2}-2 e^{x+4 x^2}} \, dx\) [2031]
3.21.32 \(\int \genfrac {}{}{}{}{1+4 x-4 x^2+e^{e^x} (-1+e^x (-2+x)-3 x+2 x^2)}{3 x+x^2-2 x^3+e^{e^x} (-2 x-x^2+x^3)+(3+e^{e^x} (-2+x)-2 x) \log (-3+e^{e^x} (2-x)+2 x)} \, dx\) [2032]
3.21.33 \(\int \genfrac {}{}{}{}{-24+63 x-30 x^2-12 x^3+6 x^4+(-6+15 x-8 x^2-2 x^3+x^4) \log (\genfrac {}{}{}{}{-6+9 x+x^2-x^3}{-x+x^2})}{-6+15 x-8 x^2-2 x^3+x^4} \, dx\) [2033]
3.21.34 \(\int \genfrac {}{}{}{}{e^{1+(3-5 e^{\genfrac {}{}{}{}{3 x^3}{2}}+x) \log (x)} (6-10 e^{\genfrac {}{}{}{}{3 x^3}{2}}+2 x+(2 x-45 e^{\genfrac {}{}{}{}{3 x^3}{2}} x^3) \log (x))}{2 x} \, dx\) [2034]
3.21.35 \(\int \genfrac {}{}{}{}{-1+5 x+x \log (\genfrac {}{}{}{}{e^5}{x})}{x} \, dx\) [2035]
3.21.36 \(\int (162+e^x (-2-2 x)-4 x) \, dx\) [2036]
3.21.37 \(\int \genfrac {}{}{}{}{-6-11 x+6 x^2-2 x^3+(6-2 x-12 x^2+2 x^3) \log (x)+(6 x-4 x^3) \log ^2(x)-2 x \log ^3(x)+(-9 x-12 x^2 \log (x)-4 x^3 \log ^2(x)) \log (2 x)}{9 x+12 x^2 \log (x)+4 x^3 \log ^2(x)} \, dx\) [2037]
3.21.38 \(\int \genfrac {}{}{}{}{-2 e^{25+10 e^2+e^4+x^2} x^2+e^{x^2} (2-x+8 x^2-2 x^3)+4 e^{x^2} x^2 \log (x)}{x} \, dx\) [2038]
3.21.39 \(\int \genfrac {}{}{}{}{e^{2+2 x} (10+4 x) \log (4+x)+e^{2+2 x} (32+24 x+4 x^2) \log ^2(4+x)}{100+105 x+36 x^2+4 x^3} \, dx\) [2039]
3.21.40 \(\int \genfrac {}{}{}{}{-5 x^2+e^x (5 x-x^2+x^3)+(5 x^2-5 e^x x^2) \log (\genfrac {}{}{}{}{x}{3})+(-12 x+4 x^2+(60-20 x) \log (\genfrac {}{}{}{}{x}{3})) \log (3 x^2)+(-15+11 x-x^2-15 \log (\genfrac {}{}{}{}{x}{3})) \log ^2(3 x^2)}{e^{2 x} x^2-2 e^x x^3+x^4+(6 x^2-2 x^3+e^x (-6 x+2 x^2)) \log ^2(3 x^2)+(9-6 x+x^2) \log ^4(3 x^2)} \, dx\) [2040]
3.21.41 \(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{-5+x}{x}} (2 x^2-32 x^3-8 x^5)+(16 x^2-x^3+8 x^4+x^6+e^{\genfrac {}{}{}{}{2 (-5+x)}{x}} (-160+10 x-80 x^2-10 x^4)) \log (-16+x-8 x^2-x^4) \log (\genfrac {}{}{}{}{1}{4} \log (-16+x-8 x^2-x^4))+(2 x^2-32 x^3-8 x^5+e^{\genfrac {}{}{}{}{-5+x}{x}} (-160+10 x-80 x^2-10 x^4) \log (-16+x-8 x^2-x^4) \log (\genfrac {}{}{}{}{1}{4} \log (-16+x-8 x^2-x^4))) \log (\log (\genfrac {}{}{}{}{1}{4} \log (-16+x-8 x^2-x^4)))}{(16 x^2-x^3+8 x^4+x^6) \log (-16+x-8 x^2-x^4) \log (\genfrac {}{}{}{}{1}{4} \log (-16+x-8 x^2-x^4))} \, dx\) [2041]
3.21.42 \(\int \genfrac {}{}{}{}{-28-88 x+13 x^2+16 x^3+2 x^4+e^x (-16+32 x-8 x^2-8 x^3-x^4) \log (16)+(16-64 x+72 x^2-8 x^3-15 x^4-2 x^5) \log (16)}{16-32 x+8 x^2+8 x^3+x^4} \, dx\) [2042]
3.21.43 \(\int \genfrac {}{}{}{}{e^{-2 e^{2-x^2} \log (3)+2 x \log (3)} x-2 x \log (3)-4 e^{2-x^2} x^2 \log (3)+(1+e^{-2 e^{2-x^2} \log (3)+2 x \log (3)} x) \log (e^{2 e^{2-x^2} \log (3)-2 x \log (3)} (-1-e^{-2 e^{2-x^2} \log (3)+2 x \log (3)} x))}{(x+e^{-2 e^{2-x^2} \log (3)+2 x \log (3)} x^2) \log (e^{2 e^{2-x^2} \log (3)-2 x \log (3)} (-1-e^{-2 e^{2-x^2} \log (3)+2 x \log (3)} x)) \log (x \log (e^{2 e^{2-x^2} \log (3)-2 x \log (3)} (-1-e^{-2 e^{2-x^2} \log (3)+2 x \log (3)} x)))} \, dx\) [2043]
3.21.44 \(\int \genfrac {}{}{}{}{-2 x+8 x^4-3 x^5+e^{\genfrac {}{}{}{}{4-2 x+e^x x}{x}} (8-6 x-8 x^3+12 x^4-3 x^5+e^x (-2 x^2+x^3+2 x^5-x^6))}{12 x-12 x^2+3 x^3} \, dx\) [2044]
3.21.45 \(\int \genfrac {}{}{}{}{198 e+(-3-132 e) e^x+22 e^{1+2 x}}{9 e-6 e^{1+x}+e^{1+2 x}} \, dx\) [2045]
3.21.46 \(\int \genfrac {}{}{}{}{e^{25} (1+4 x)}{4 (-4 x+4 x^2+x \log (6 x))} \, dx\) [2046]
3.21.47 \(\int \genfrac {}{}{}{}{e (2+2 x-5 x^2+9 x^3)+e (-4 x^2+6 x^3) \log (x)+e (-x^2+x^3) \log ^2(x)+(e (-4 x+10 x^3)+8 e x^3 \log (x)+2 e x^3 \log ^2(x)) \log (\genfrac {}{}{}{}{2-5 x^2-4 x^2 \log (x)-x^2 \log ^2(x)}{x})}{-2+5 x^2+4 x^2 \log (x)+x^2 \log ^2(x)} \, dx\) [2047]
3.21.48 \(\int (1+e^{8 x} (66+10 e^{2 x}+12 x-16 x^2)) \, dx\) [2048]
3.21.49 \(\int \genfrac {}{}{}{}{-36 x+54 x^2-18 x^3+(-36 x+72 x^2-18 x^3) \log (x)+(36 x-54 x^2+18 x^3) \log (x) \log (\genfrac {}{}{}{}{(2 x-2 x^2) \log (x)}{-2+x})}{(2-3 x+x^2) \log (x) \log ^3(\genfrac {}{}{}{}{(2 x-2 x^2) \log (x)}{-2+x})} \, dx\) [2049]
3.21.50 \(\int e^{25-19 x+(25-19 x) \log (81 x^4)} (102 x-95 x^2-19 x^2 \log (81 x^4)) \, dx\) [2050]
3.21.51 \(\int e^{e^{32}+e^{4 x^2}+x^8+4 x^9+6 x^{10}+4 x^{11}+x^{12}+e^{16} (-2 x^4-4 x^5-2 x^6)+e^{2 x^2} (2 e^{16}-2 x^4-4 x^5-2 x^6)+(4 x^7+16 x^8+24 x^9+16 x^{10}+4 x^{11}+e^{16} (-4 x^3-8 x^4-4 x^5)+e^{2 x^2} (-4 x^3-8 x^4-4 x^5)) \log (x)+(6 x^6+24 x^7+36 x^8+24 x^9+6 x^{10}+e^{16} (-2 x^2-4 x^3-2 x^4)+e^{2 x^2} (-2 x^2-4 x^3-2 x^4)) \log ^2(x)+(4 x^5+16 x^6+24 x^7+16 x^8+4 x^9) \log ^3(x)+(x^4+4 x^5+6 x^6+4 x^7+x^8) \log ^4(x)} (8 e^{4 x^2} x+4 x^6+24 x^7+60 x^8+76 x^9+48 x^{10}+12 x^{11}+e^{16} (-4 x^2-16 x^3-24 x^4-12 x^5)+e^{2 x^2} (8 e^{16} x-4 x^2-16 x^3-24 x^4-20 x^5-16 x^6-8 x^7)+(12 x^5+76 x^6+200 x^7+264 x^8+172 x^9+44 x^{10}+e^{16} (-4 x-20 x^2-36 x^3-20 x^4)+e^{2 x^2} (-4 x-20 x^2-36 x^3-36 x^4-32 x^5-16 x^6)) \log (x)+(12 x^4+84 x^5+240 x^6+336 x^7+228 x^8+60 x^9+e^{16} (-4 x-12 x^2-8 x^3)+e^{2 x^2} (-4 x-12 x^2-16 x^3-16 x^4-8 x^5)) \log ^2(x)+(4 x^3+36 x^4+120 x^5+184 x^6+132 x^7+36 x^8) \log ^3(x)+(4 x^3+20 x^4+36 x^5+28 x^6+8 x^7) \log ^4(x)) \, dx\) [2051]
3.21.52 \(\int \genfrac {}{}{}{}{-2 e^4 x+e^x (6 x-6 x^2+x^3+x^4+e^4 (-6+6 x-x^2-x^3))}{e^4 x^2-x^3} \, dx\) [2052]
3.21.53 \(\int \genfrac {}{}{}{}{-1-256 e^{2+64 e^2 x^2} x^2}{x} \, dx\) [2053]
3.21.54 \(\int \genfrac {}{}{}{}{-250 x^2-25 x^3-125 x^5+(-29600 x-8380 x^2-745 x^3+7380 x^4+1725 x^5+100 x^6) \log (\genfrac {}{}{}{}{37+4 x}{8+x})}{(29600+12820 x+2076 x^2+29749 x^3+9864 x^4+1090 x^5+7440 x^6+1725 x^7+100 x^8) \log ^2(\genfrac {}{}{}{}{37+4 x}{8+x})} \, dx\) [2054]
3.21.55 \(\int \genfrac {}{}{}{}{e^{2 x^2-4 x \log (\genfrac {}{}{}{}{1}{x^2})+2 \log ^2(\genfrac {}{}{}{}{1}{x^2})} (-4+(-8+32 x+16 x^2+(-32-16 x) \log (\genfrac {}{}{}{}{1}{x^2})) \log (x))}{x^3 \log ^2(x)} \, dx\) [2055]
3.21.56 \(\int 14 e^{9+14 x} \, dx\) [2056]
3.21.57 \(\int \genfrac {}{}{}{}{e^{1+(4+e^x (-10+2 x)) \log (\genfrac {}{}{}{}{3 x}{2})+(4+e^x (-20+4 x)+e^{2 x} (25-10 x+x^2)) \log ^2(\genfrac {}{}{}{}{3 x}{2})} (4+e^x (-10+2 x)+(8+e^x (-40+2 x^2)+e^{2 x} (50-20 x+2 x^2)) \log (\genfrac {}{}{}{}{3 x}{2})+(e^x (-16 x+4 x^2)+e^{2 x} (40 x-18 x^2+2 x^3)) \log ^2(\genfrac {}{}{}{}{3 x}{2}))}{x} \, dx\) [2057]
3.21.58 \(\int \genfrac {}{}{}{}{-32-80 x+2 x^2-16 x \log (x)}{(1680 x+800 x^2+95 x^3+(656 x+320 x^2+39 x^3) \log (x)+(64 x+32 x^2+4 x^3) \log ^2(x)) \log (\genfrac {}{}{}{}{28224+12768 x+1444 x^2+(10752+5120 x+608 x^2) \log (x)+(1024+512 x+64 x^2) \log ^2(x)}{400+200 x+25 x^2+(160+80 x+10 x^2) \log (x)+(16+8 x+x^2) \log ^2(x)})} \, dx\) [2058]
3.21.59 \(\int \genfrac {}{}{}{}{1925 x-77 e^2 x^2+3850 x^3-77 x^4+e (1925 x^2-154 x^3)+(-154 e x-154 x^2) \log (x)-77 \log ^2(x)}{4 e^2 x^4+8 e x^5+4 x^6+(8 e x^3+8 x^4) \log (x)+4 x^2 \log ^2(x)} \, dx\) [2059]
3.21.60 \(\int \genfrac {}{}{}{}{3 e^5 x-4 x^3+2 x^4+e^{2 x^2} (1-2 x^2)}{3 x^3} \, dx\) [2060]
3.21.61 \(\int \genfrac {}{}{}{}{8-12 x}{-x+2 x^2} \, dx\) [2061]
3.21.62 \(\int \genfrac {}{}{}{}{e^4 (320-1664 x+1536 x^2+4032 x^3-6720 x^4+1248 x^5+912 x^6-1008 x^7-516 x^8-80 x^9-4 x^{10})}{-32-80 x-160 x^2-120 x^3-50 x^4+119 x^5+95 x^6+75 x^7-60 x^8-25 x^9-31 x^{10}+25 x^{11}+5 x^{13}-5 x^{14}+x^{15}} \, dx\) [2062]
3.21.63 \(\int \genfrac {}{}{}{}{1}{20} e^{4-x^2} (1+20 e^{-4+x^2}+50 x-2 x^2+10 x \log (4)) \, dx\) [2063]
3.21.64 \(\int \genfrac {}{}{}{}{-20 \log (x)+x \log ^2(x)+10 \log (x^2)}{2 x \log ^2(x)} \, dx\) [2064]
3.21.65 \(\int \genfrac {}{}{}{}{8-42 x+36 x^2+(-2+10 x-8 x^2) \log (-1+x)}{-16+16 x+(8-8 x) \log (-1+x)+(-1+x) \log ^2(-1+x)} \, dx\) [2065]
3.21.66 \(\int \genfrac {}{}{}{}{x^6+5 x^5 \log (x)+10 x^4 \log ^2(x)+10 x^3 \log ^3(x)+5 x^2 \log ^4(x)+x \log ^5(x)+e^{e^{-1+e^{e^x}}} (-16-16 x+e^{-1+e^{e^x}+e^x} (4 e^x x^2+4 e^x x \log (x)))}{x^6+5 x^5 \log (x)+10 x^4 \log ^2(x)+10 x^3 \log ^3(x)+5 x^2 \log ^4(x)+x \log ^5(x)} \, dx\) [2066]
3.21.67 \(\int \genfrac {}{}{}{}{e^{2 e^2-2 x} (4-12 x)+9 x^4+e^{e^2-x} (-12 x^2-9 x^4)}{4 e^{2 e^2-2 x}-12 e^{e^2-x} x^2+9 x^4} \, dx\) [2067]
3.21.68 \(\int \genfrac {}{}{}{}{e^x (10 x^3-10 x^4+e^3 (-10 x^2+10 x^3))+e^x (20 e^3 x^2-20 x^3) \log (e^3-x)+e^x (10 e^3 x-10 x^2) \log ^2(e^3-x)+\log (-9+5 e^x) (-54 x^3+e^3 (-36 x+54 x^2)+e^x (30 x^3+e^3 (20 x-30 x^2))+(-36 x+72 e^3 x-72 x^2+e^x (20 x-40 e^3 x+40 x^2)) \log (e^3-x)+(18 e^3-18 x+e^x (-10 e^3+10 x)) \log ^2(e^3-x))}{9 x^5-18 x^6+9 x^7+e^3 (-9 x^4+18 x^5-9 x^6)+e^x (-5 x^5+10 x^6-5 x^7+e^3 (5 x^4-10 x^5+5 x^6))+(-36 x^5+36 x^6+e^3 (36 x^4-36 x^5)+e^x (20 x^5-20 x^6+e^3 (-20 x^4+20 x^5))) \log (e^3-x)+(-18 x^4+54 x^5+e^3 (18 x^3-54 x^4)+e^x (10 x^4-30 x^5+e^3 (-10 x^3+30 x^4))) \log ^2(e^3-x)+(-36 e^3 x^3+36 x^4+e^x (20 e^3 x^3-20 x^4)) \log ^3(e^3-x)+(-9 e^3 x^2+9 x^3+e^x (5 e^3 x^2-5 x^3)) \log ^4(e^3-x)} \, dx\) [2068]
3.21.69 \(\int \genfrac {}{}{}{}{-128+144 x-28 x^2+10 x^3+2 x^4+(16 x-4 x^2+2 x^3) \log (3)+(-16 x+4 x^2-2 x^3) \log (2 x^2)}{x^3} \, dx\) [2069]
3.21.70 \(\int \genfrac {}{}{}{}{-96 x+3021 x^2-15042 x^3-1911 x^4-60 x^5+(-1536 x+11328 x^2+1434 x^3+45 x^4) \log (4)}{256+32 x+x^2} \, dx\) [2070]
3.21.71 \(\int \genfrac {}{}{}{}{-6 x^3-2 x^4-36 x^6-30 x^7-6 x^8+(-18-6 x) \log ^2(2)+e^{2 x} (-2 x^3-4 x^6-2 x^7+(-2+2 x) \log ^2(2))+e^x (8 x^3+2 x^4+24 x^6+16 x^7+2 x^8+(12-4 x-2 x^2) \log ^2(2))}{x^3} \, dx\) [2071]
3.21.72 \(\int \genfrac {}{}{}{}{2+20 x}{45+2 x+10 x^2} \, dx\) [2072]
3.21.73 \(\int \genfrac {}{}{}{}{1}{3} (-72+18 x+90 x^2+36 x^3+e^{\genfrac {}{}{}{}{1}{3} (e^x+6 x)} (51-24 x-18 x^2+e^x (9-x-3 x^2))) \, dx\) [2073]
3.21.74 \(\int \genfrac {}{}{}{}{e^{e^x+\genfrac {}{}{}{}{e^{e^x} (2-2 x^2)}{x \log (2)}} (2+2 x^2+e^x (-2 x+2 x^3))}{x^2 \log (2)} \, dx\) [2074]
3.21.75 \(\int \genfrac {}{}{}{}{-8+e^5 (8-2 x)+2 x+x^3+e^{2 e^x} (2-2 e^5+2 e^x x^3)}{-4 x^3+e^{2 e^x} x^3+x^4} \, dx\) [2075]
3.21.76 \(\int \genfrac {}{}{}{}{(-100 x+20 x \log (2)) \log (x)+(-200 x+40 x \log (2)) \log ^2(x)+e^{\genfrac {}{}{}{}{3+4 \log (x)}{12 \log (x)}} (-25 x-100 x \log (x)-200 x \log ^2(x))}{100 e^{\genfrac {}{}{}{}{3+4 \log (x)}{6 \log (x)}} \log (x)+e^{\genfrac {}{}{}{}{3+4 \log (x)}{12 \log (x)}} (200-40 \log (2)) \log (x)+(100-40 \log (2)+4 \log ^2(2)) \log (x)} \, dx\) [2076]
3.21.77 \(\int \genfrac {}{}{}{}{-5+x^3+e^x x^3+2 x^4}{x^3} \, dx\) [2077]
3.21.78 \(\int \genfrac {}{}{}{}{15-10 x+5 \log (2)-40 x \log (x)+30 x \log (x) \log (\log (x))-5 x \log (x) \log ^2(\log (x))}{((-6 x+8 x^2-2 x \log (2)) \log (x)+(3 x-6 x^2+x \log (2)) \log (x) \log (\log (x))+x^2 \log (x) \log ^2(\log (x))) \log ^2(\genfrac {}{}{}{}{3-4 x+\log (2)+x \log (\log (x))}{-2+\log (\log (x))})} \, dx\) [2078]
3.21.79 \(\int \genfrac {}{}{}{}{1}{80} (5 x^4-12 x^5+7 x^6+e^5 (-16 x+48 x^2-32 x^3)) \, dx\) [2079]
3.21.80 \(\int \genfrac {}{}{}{}{e^{-\genfrac {}{}{}{}{6 x}{e^x-x^2}} (e^{2 x}-6 x^3+x^4+e^x (-6 x+4 x^2))}{e^{2 x}-2 e^x x^2+x^4} \, dx\) [2080]
3.21.81 \(\int \genfrac {}{}{}{}{450 x^2-675 x^2 \log (x) \log (\log (x))+12 \log (4) \log (x) \log ^3(\log (x))}{\log (x) \log ^3(\log (x))} \, dx\) [2081]
3.21.82 \(\int e^{-4-e^x (-1+x)-x} (4 x-2 x^2-2 e^x x^3) \, dx\) [2082]
3.21.83 \(\int \genfrac {}{}{}{}{96+96 e^x}{16+e^{16}+16 e^{2 x}+e^8 (8-8 x)-32 x+16 x^2+e^x (-32-8 e^8+32 x-32 \log (4))+(32+8 e^8-32 x) \log (4)+16 \log ^2(4)} \, dx\) [2083]
3.21.84 \(\int \genfrac {}{}{}{}{2+2 x \log (x)-11 x \log ^2(x)}{-2 x \log (x)+(11 x+e^x x) \log ^2(x)} \, dx\) [2084]
3.21.85 \(\int \genfrac {}{}{}{}{2-26 x^2+22 x^3-3 x^4+x^2 \log (x)+(-2-27 x^2+11 x^3-x^4+x^2 \log (x)) \log (\genfrac {}{}{}{}{-2-27 x^2+11 x^3-x^4+x^2 \log (x)}{x^2})}{-2-27 x^2+11 x^3-x^4+x^2 \log (x)} \, dx\) [2085]
3.21.86 \(\int \genfrac {}{}{}{}{-1+e^3 x+(1-2 e^3 x) \log (x)+(-1+2 e^3 x) \log ^2(x)}{2 e^3 \log ^2(x)} \, dx\) [2086]
3.21.87 \(\int \genfrac {}{}{}{}{-2+x^2+e^{e^x} (1-e^x x)}{x^2} \, dx\) [2087]
3.21.88 \(\int \genfrac {}{}{}{}{1-6 x}{x \log (e^{\genfrac {}{}{}{}{3-6 e^{15/2} x}{e^{15/2}}} x) \log (\log (e^{\genfrac {}{}{}{}{3-6 e^{15/2} x}{e^{15/2}}} x))} \, dx\) [2088]
3.21.89 \(\int \genfrac {}{}{}{}{(-4-4 x+2 e^x x^2) \log (\genfrac {}{}{}{}{e^x x}{2+e^x (x+x^2)})}{90 e^4 x+e^{4+x} (45 x^2+45 x^3)+(60 e^4 x+e^{4+x} (30 x^2+30 x^3)) \log ^2(\genfrac {}{}{}{}{e^x x}{2+e^x (x+x^2)})+(10 e^4 x+e^{4+x} (5 x^2+5 x^3)) \log ^4(\genfrac {}{}{}{}{e^x x}{2+e^x (x+x^2)})} \, dx\) [2089]
3.21.90 \(\int \genfrac {}{}{}{}{e^e (10-2 x)+2 e^e \log (x)+(5-x^2+x \log (x)) \log ^2(\genfrac {}{}{}{}{x^2}{9})}{(15 x-3 x^2+3 x \log (x)) \log ^2(\genfrac {}{}{}{}{x^2}{9})} \, dx\) [2090]
3.21.91 \(\int -\genfrac {}{}{}{}{5 e^{3+e^x+x}}{25+10 e^{3+e^x}+e^{6+2 e^x}} \, dx\) [2091]
3.21.92 \(\int \genfrac {}{}{}{}{-305156281250-73279658750 x-7328903800 x^2-390814950 x^3-11721300 x^4-187500 x^5-1250 x^6+(-1464781300-234497450 x-14070000 x^2-375100 x^3-3750 x^4) \log (x)+(-2343700-187600 x-3750 x^2) \log ^2(x)-1250 \log ^3(x)}{3813964890624 x^3+916142488128 x^4+91662930072 x^5+4889659851 x^6+146670075 x^7+2345625 x^8+15625 x^9+(18308203200 x^3+2931843600 x^4+175965075 x^5+4691250 x^6+46875 x^7) \log (x)+(29295000 x^3+2345625 x^4+46875 x^5) \log ^2(x)+15625 x^3 \log ^3(x)} \, dx\) [2092]
3.21.93 \(\int (8-e^x+e^{2 e^x} (-16-32 e^x x)) \, dx\) [2093]
3.21.94 \(\int \genfrac {}{}{}{}{e^5+(-12 e^5-3 x) \log (4)+3 \log (4) \log (x)+((3-6 x) \log (4)+3 \log (4) \log (x)) \log (2 x)}{e^5} \, dx\) [2094]
3.21.95 \(\int \genfrac {}{}{}{}{3 x^2+8 x^3-1280 x^6-32 x^4 \log (5)+3 x^2 \log ^2(5)}{1+24 x+192 x^2+512 x^3+768 x^4+12288 x^5+49152 x^6+196608 x^8+1572864 x^9+16777216 x^{12}+(96 x^2+1536 x^3+6144 x^4+49152 x^6+393216 x^7+6291456 x^{10}) \log (5)+(3+48 x+192 x^2+4608 x^4+36864 x^5+983040 x^8) \log ^2(5)+(192 x^2+1536 x^3+81920 x^6) \log ^3(5)+(3+24 x+3840 x^4) \log ^4(5)+96 x^2 \log ^5(5)+\log ^6(5)} \, dx\) [2095]
3.21.96 \(\int \genfrac {}{}{}{}{16 \log (x)+(-2+2 \log (x)) \log (4 x^2) \log (\log ^2(4 x^2))}{x^2 \log (4 x^2) \log ^3(\log ^2(4 x^2))} \, dx\) [2096]
3.21.97 \(\int \genfrac {}{}{}{}{-1344-60 e^8 x^2+e^4 (-480 x+96 x^2)+e^x (576+144 x-96 x^2+e^4 (240 x+72 x^2-24 x^3)+e^8 (30 x^2+15 x^3))}{25 e^{11} x^2+e^7 (200 x-80 x^2)+e^3 (400-320 x+64 x^2)} \, dx\) [2097]
3.21.98 \(\int \genfrac {}{}{}{}{4+5 e^{12+2 x^2-4 e^3 x^2+2 e^6 x^2}+5 x^2+e^{6+x^2-2 e^3 x^2+e^6 x^2} (18 x-16 e^3 x+8 e^6 x)}{5 e^{12+2 x^2-4 e^3 x^2+2 e^6 x^2}+10 e^{6+x^2-2 e^3 x^2+e^6 x^2} x+5 x^2} \, dx\) [2098]
3.21.99 \(\int \genfrac {}{}{}{}{3 x+\genfrac {}{}{}{}{e^{-e^x+e^{x-x^2}-5 x} (-3-15 x-3 e^x x+e^{x-x^2} (3 x-6 x^2))}{x}}{x} \, dx\) [2099]
3.21.100 \(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{1}{4} (4 x+(e^{4+4 x} x-x^2) \log (\log (x+\log (x))))} (-x-x^2+e^{4+4 x} (1+x)+(4 x+4 \log (x)) \log (x+\log (x))+(-2 x^2+e^{4+4 x} (x+4 x^2)+(-2 x+e^{4+4 x} (1+4 x)) \log (x)) \log (x+\log (x)) \log (\log (x+\log (x))))}{(4 x+4 \log (x)) \log (x+\log (x))} \, dx\) [2100]