3.11 Integrals 1001 to 1100

\(\int -\genfrac {}{}{}{}{1568 e^{\genfrac {}{}{}{}{1}{16} e^{4+\log ^2(2)}} x}{(49+16 x^2) (196+64 x^2)} \, dx\) [1001]
\(\int \genfrac {}{}{}{}{-12-24 x-20 e^6 x-4 e^6 x \log (x)}{36 x+24 x^2+4 x^3+(12 x+4 x^2) \log (x)+x \log ^2(x)} \, dx\) [1002]
\(\int \genfrac {}{}{}{}{e^{-4+e^{\genfrac {}{}{}{}{x^2}{5+x}}-x} (-500-200 x-20 x^2+e^4 (-50 x-20 x^2-2 x^3)+e^{\genfrac {}{}{}{}{x^2}{5+x}} (200 x+20 x^2+e^4 (20 x+22 x^2+2 x^3)))}{25+10 x+x^2} \, dx\) [1003]
\(\int \genfrac {}{}{}{}{e^{-\genfrac {}{}{}{}{4+x+x^4}{x^3}} (3 x^4+(36+42 x+6 x^2+3 x^3-3 x^5) \log (2+2 x))}{x^3+x^4} \, dx\) [1004]
\(\int \genfrac {}{}{}{}{4 (5+i \pi )^2-2 e^8 x^2+4 e^{16} x^4+(5+i \pi ) (-2-8 e^8 x^2)}{(5+i \pi )^2-2 e^8 (5+i \pi ) x^2+e^{16} x^4} \, dx\) [1005]
\(\int \genfrac {}{}{}{}{-4-40 x-100 x^2+x^5+10 x^6+25 x^7+e^{\genfrac {}{}{}{}{4 x^2}{1+5 x}} (8 x^6+20 x^7)}{x^5+10 x^6+25 x^7} \, dx\) [1006]
\(\int \genfrac {}{}{}{}{2-2 x-x \log (\genfrac {}{}{}{}{16}{25} e^{-2 x} x^2)}{x \log (\genfrac {}{}{}{}{16}{25} e^{-2 x} x^2)} \, dx\) [1007]
\(\int \genfrac {}{}{}{}{e^{-6+3 e^3} (-1-\log (4))+e^{-6+3 e^3} \log (x)}{-x \log (4)+x \log (x)} \, dx\) [1008]
\(\int e^{-2 x+e^{-2 x} (225 x^6+90 x^7+9 x^8+e^{2 x} (25-450 x+1645 x^2+3360 x^3+1984 x^4+456 x^5+36 x^6)+e^x (-150 x^3+1320 x^4+1410 x^5+408 x^6+36 x^7))} (1350 x^5+180 x^6-108 x^7-18 x^8+e^{2 x} (-450+3290 x+10080 x^2+7936 x^3+2280 x^4+216 x^5)+e^x (-450 x^2+5430 x^3+5730 x^4+1038 x^5-156 x^6-36 x^7)) \, dx\) [1009]
\(\int \genfrac {}{}{}{}{2 x^2+(-4 x+2 x^2) (i \pi +\log (\genfrac {}{}{}{}{5}{4}))+(2-4 x+x^2) (i \pi +\log (\genfrac {}{}{}{}{5}{4}))^2+(x^3+(-2 x^2+x^3) (i \pi +\log (\genfrac {}{}{}{}{5}{4}))+(x-x^2) (i \pi +\log (\genfrac {}{}{}{}{5}{4}))^2) \log (\genfrac {}{}{}{}{x^2+(-x+x^2) (i \pi +\log (\genfrac {}{}{}{}{5}{4}))}{i \pi -x+\log (\genfrac {}{}{}{}{5}{4})})}{-x^3+(2 x^2-x^3) (i \pi +\log (\genfrac {}{}{}{}{5}{4}))+(-x+x^2) (i \pi +\log (\genfrac {}{}{}{}{5}{4}))^2+(-2 x^3+(4 x^2-2 x^3) (i \pi +\log (\genfrac {}{}{}{}{5}{4}))+(-2 x+2 x^2) (i \pi +\log (\genfrac {}{}{}{}{5}{4}))^2) \log (\genfrac {}{}{}{}{x^2+(-x+x^2) (i \pi +\log (\genfrac {}{}{}{}{5}{4}))}{i \pi -x+\log (\genfrac {}{}{}{}{5}{4})})+(-x^3+(2 x^2-x^3) (i \pi +\log (\genfrac {}{}{}{}{5}{4}))+(-x+x^2) (i \pi +\log (\genfrac {}{}{}{}{5}{4}))^2) \log ^2(\genfrac {}{}{}{}{x^2+(-x+x^2) (i \pi +\log (\genfrac {}{}{}{}{5}{4}))}{i \pi -x+\log (\genfrac {}{}{}{}{5}{4})})} \, dx\) [1010]
\(\int \genfrac {}{}{}{}{76-3 x}{-25+x} \, dx\) [1011]
\(\int \genfrac {}{}{}{}{108-111 x-267 x^2+6 x^3+143 x^4+39 x^5+(72-30 x-99 x^2-27 x^3) \log (x)+(12+4 x) \log ^2(x)+(-72+30 x+99 x^2+27 x^3+(-24-8 x) \log (x)) \log (15+5 x)+(12+4 x) \log ^2(15+5 x)}{27-9 x-57 x^2+x^3+33 x^4+9 x^5+(18-20 x^2-6 x^3) \log (x)+(3+x) \log ^2(x)+(-18+20 x^2+6 x^3+(-6-2 x) \log (x)) \log (15+5 x)+(3+x) \log ^2(15+5 x)} \, dx\) [1012]
\(\int \genfrac {}{}{}{}{-x^2+(-40 x-2 x^2) \log (20+x) \log (\log (20+x))}{(240+12 x) \log (20+x)} \, dx\) [1013]
\(\int \genfrac {}{}{}{}{1}{441} e^{\genfrac {}{}{}{}{1}{441} (441+42 x+x^2)} (42+2 x) \, dx\) [1014]
\(\int \genfrac {}{}{}{}{-x^5+e^{2 (2 x-e^{25} x+x^2-x \log (x))} (-4+2 x-2 e^{25} x+4 x^2-2 x \log (x))+e^{\genfrac {}{}{}{}{3}{2} (2 x-e^{25} x+x^2-x \log (x))} (-12 x+6 x^2-6 e^{25} x^2+12 x^3-6 x^2 \log (x))+e^{2 x-e^{25} x+x^2-x \log (x)} (-12 x^2+6 x^3-6 e^{25} x^3+12 x^4-6 x^3 \log (x))+e^{\genfrac {}{}{}{}{1}{2} (2 x-e^{25} x+x^2-x \log (x))} (-4 x^3+2 x^4-2 e^{25} x^4+4 x^5-2 x^4 \log (x))}{x^5} \, dx\) [1015]
\(\int \genfrac {}{}{}{}{50}{625 x+50 x \log (x^2)+x \log ^2(x^2)} \, dx\) [1016]
\(\int \genfrac {}{}{}{}{-e^5+e^2 (6+8 x)}{e^5} \, dx\) [1017]
\(\int \genfrac {}{}{}{}{-e^{e^4+x} x+2 x^2+x \log (x)+(-16-x+e^{e^4+x} (-16+15 x+x^2)+(16+x) \log (x)) \log (16+x)}{64 x^2+4 x^3+e^{2 e^4+2 x} (16+x)+e^{e^4+x} (-64 x-4 x^2)+(e^{e^4+x} (-32-2 x)+64 x+4 x^2) \log (x)+(16+x) \log ^2(x)} \, dx\) [1018]
\(\int \genfrac {}{}{}{}{2+4 e^x+e^{1+x} (2+4 e^x)+(-4 e^x x+2 e^{1+x} x) \log (x)}{x+4 e^x x+4 e^{2 x} x} \, dx\) [1019]
\(\int \genfrac {}{}{}{}{e^{-2 e} (16+e^{2 e} (-5+2 x^3))}{x^2} \, dx\) [1020]
\(\int \genfrac {}{}{}{}{(\genfrac {}{}{}{}{6+2 x}{x+x^2})^{-x+x^2} (3+3 x-5 x^2-x^3+(-3+2 x+7 x^2+2 x^3) \log (\genfrac {}{}{}{}{6+2 x}{x+x^2}))}{3+4 x+x^2} \, dx\) [1021]
\(\int \genfrac {}{}{}{}{3-18 x+e^{25-11 x+x^2} (11 x-2 x^2)-18 x \log (x)}{x} \, dx\) [1022]
\(\int 10 e^{-2 x} \, dx\) [1023]
\(\int e^x \, dx\) [1024]
\(\int \genfrac {}{}{}{}{\log ^2(e^{-10+2 x+2 \log ^2(x)})+\log (e^{-10+2 x+2 \log ^2(x)}) (4 x+8 \log (x))}{\log ^4(2)} \, dx\) [1025]
\(\int \genfrac {}{}{}{}{19}{32 x} \, dx\) [1026]
\(\int \genfrac {}{}{}{}{e^{-4+x} (15-5 x)}{2 x^4} \, dx\) [1027]
\(\int \genfrac {}{}{}{}{31-30 x-30 x^2-30 \log (x)}{30 x^2} \, dx\) [1028]
\(\int (10+2 e^6+2 x) \, dx\) [1029]
\(\int \genfrac {}{}{}{}{2-2 x+e^x (-2 x^2-x^3)}{-2 x^2-e^x x^3+2 x \log (\genfrac {}{}{}{}{x}{3 e^5})} \, dx\) [1030]
\(\int \genfrac {}{}{}{}{-13 x-4 x^2+e^{x+x^2} (14+4 x-3 x^2-2 x^3)+(e^{x+x^2} (-1-2 x)+x+2 x^2) \log (-e^{x+x^2} x+x^2)}{3 e^{x+x^2}-3 x} \, dx\) [1031]
\(\int \genfrac {}{}{}{}{1600 x^4+1250 x^5+300 x^6+25 x^7+e^{\genfrac {}{}{}{}{6}{25 x^3}} (-1152-864 x-216 x^2-18 x^3)}{1600 x^4+1200 x^5+300 x^6+25 x^7} \, dx\) [1032]
\(\int \genfrac {}{}{}{}{2+2 x-x^2-x^3+(2 x-x^2+x^3) \log (\genfrac {}{}{}{}{x}{2-x+x^2})}{10 x-5 x^2+5 x^3} \, dx\) [1033]
\(\int \genfrac {}{}{}{}{-48+e^{e^{4+e^x}} (-16-16 e^{4+e^x+x})}{3+e^{e^{4+e^x}}} \, dx\) [1034]
\(\int \genfrac {}{}{}{}{1-x}{x} \, dx\) [1035]
\(\int \genfrac {}{}{}{}{1}{x} \, dx\) [1036]
\(\int \genfrac {}{}{}{}{1}{9} (-9+e^{8 x} (-250-2000 x)+e^{12 x} (-96-1152 x)+e^{6 x} (-48-288 x)+e^{16 x} (-1-16 x)+e^{14 x} (16+224 x)+e^{4 x} (96+384 x)+e^{10 x} (256+2560 x)) \, dx\) [1037]
\(\int \genfrac {}{}{}{}{468512 \log (5 x)+e^{2-2 x} x^2 (702768 \log (5 x)+(702768-702768 x) \log ^2(5 x))+e^{1-x} x (937024 \log (5 x)+(468512-468512 x) \log ^2(5 x))+e^{3-3 x} x^3 (234256 \log (5 x)+(351384-351384 x) \log ^2(5 x))+e^{4-4 x} x^4 (29282 \log (5 x)+(58564-58564 x) \log ^2(5 x))}{x} \, dx\) [1038]
\(\int \genfrac {}{}{}{}{-15+5 x-4 x^4+(20 x+8 x^5) \log (x)-4 x^6 \log ^2(x)}{x^4-2 x^5 \log (x)+x^6 \log ^2(x)} \, dx\) [1039]
\(\int \genfrac {}{}{}{}{-6+5 x+2 x^2+x \log (x^2)}{x} \, dx\) [1040]
\(\int \genfrac {}{}{}{}{20 x+e^{2 x} (50+10 x^2)+e^{2 x} (-10-2 x^2) \log (25+10 x^2+x^4)}{-25-5 x^2+(5+x^2) \log (25+10 x^2+x^4)} \, dx\) [1041]
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{32-12 e^{\genfrac {}{}{}{}{1}{3} (-e^x+3 x)}-4 x-12 x^2}{4+x}} (-48-96 x-12 x^2+e^{\genfrac {}{}{}{}{1}{3} (-e^x+3 x)} (-36-12 x+e^x (16+4 x)))}{16+8 x+x^2} \, dx\) [1042]
\(\int \genfrac {}{}{}{}{8 x^4-4 x^5+(-20 x^4+8 x^5) \log (2 x)+(72-72 x+18 x^2) \log ^3(2 x)}{(36-36 x+9 x^2) \log ^3(2 x)} \, dx\) [1043]
\(\int \genfrac {}{}{}{}{-3+3 e^2-6 x-3 \log (9 e^6)}{x^2+e^4 x^2+2 x^3+x^4+e^2 (-2 x^2-2 x^3)+(2 x^2-2 e^2 x^2+2 x^3) \log (9 e^6)+x^2 \log ^2(9 e^6)} \, dx\) [1044]
\(\int \genfrac {}{}{}{}{-1+\log (x)}{x^2} \, dx\) [1045]
\(\int \genfrac {}{}{}{}{-8+22 x+13 x^2-13 x \log (\genfrac {}{}{}{}{3 e^x x^2}{2})+2 x \log ^2(\genfrac {}{}{}{}{3 e^x x^2}{2})}{x \log ^2(\genfrac {}{}{}{}{3 e^x x^2}{2})} \, dx\) [1046]
\(\int (8+6 e^{6 x}-4 x) \, dx\) [1047]
\(\int \genfrac {}{}{}{}{2 \log (2)-4 e^{3+x} \log (2)-2 e^{3+x} x \log (2) \log (x^2)+(\log (2)-2 e^{3+x} \log (2)) \log (x^2) \log ((1-2 e^{3+x}) \log (x^2))}{(-x^2+2 e^{3+x} x^2) \log (x^2) \log ^2((1-2 e^{3+x}) \log (x^2))} \, dx\) [1048]
\(\int \genfrac {}{}{}{}{8+16 x+e^3 (6 x-3 x^2-6 x^3)}{-8+3 e^3 x^2} \, dx\) [1049]
\(\int \genfrac {}{}{}{}{-9 x^4-6 x^5+6 x^6+e^{16 e^x} (-4+4 x-x^2)+e^{8 e^x} (12 x^2+6 x^3-12 x^4+3 x^5+e^x (-32 x^4+32 x^5-8 x^6))}{9 x^5+e^{16 e^x} (4 x-4 x^2+x^3)+e^{8 e^x} (-12 x^3+6 x^4)} \, dx\) [1050]
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{4 x^2+x^2 \log (169)}{20 \log (50-x)}} (-4 x^2-x^2 \log (169)+(-400 x+8 x^2+(-100 x+2 x^2) \log (169)) \log (50-x))}{(-1000+20 x) \log ^2(50-x)} \, dx\) [1051]
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{x}{e^{12} (2+2 x)^2}} (1-x)+e^{12} (1+x) (2+2 x)^2}{e^{12} (1+x) (2+2 x)^2} \, dx\) [1052]
\(\int (e^{4 x} (-36 x^3-36 x^4)+e^{2 x} (72 x+72 x^2+e (12 x+12 x^2))) \, dx\) [1053]
\(\int \genfrac {}{}{}{}{e^{2 x} (8-20 x+24 x^2-14 x^3+2 x^4)+e^{3+x} (-5184 x^3+3888 x^4-972 x^5+81 x^6)}{-5184 x^3+3888 x^4-972 x^5+81 x^6} \, dx\) [1054]
\(\int \genfrac {}{}{}{}{1}{5} e^{\genfrac {}{}{}{}{1}{5} (-60+15 e x+15 x^2-(3 e+3 x) \log (x))} (20 x-6 x^2+60 x^3+e (-6 x+30 x^2)-6 x^2 \log (x)) \, dx\) [1055]
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{1}{15} (12+5 e^{\genfrac {}{}{}{}{2-16 x+4 x^2+4 x \log (25+10 x+x^2)}{-4 x+x^2+x \log (25+10 x+x^2)}} x)+\genfrac {}{}{}{}{2-16 x+4 x^2+4 x \log (25+10 x+x^2)}{-4 x+x^2+x \log (25+10 x+x^2)}} (40+64 x-28 x^2-3 x^3+x^4+(-10-42 x+2 x^2+2 x^3) \log (25+10 x+x^2)+(5 x+x^2) \log ^2(25+10 x+x^2))}{240 x-72 x^2-9 x^3+3 x^4+(-120 x+6 x^2+6 x^3) \log (25+10 x+x^2)+(15 x+3 x^2) \log ^2(25+10 x+x^2)} \, dx\) [1056]
\(\int \genfrac {}{}{}{}{-8 x^4-16 x^5-8 x^6+(16 x^4+40 x^5+24 x^6+e^{2+x} (-4 x^3-4 x^4)+e^3 (16 x^3+40 x^4+24 x^5)) \log (e^3+x)+e^x (e^5 (12 x^2+20 x^3+4 x^4)+e^2 (12 x^3+20 x^4+4 x^5)) \log ^2(e^3+x)+e^{2 x} (e^7 (2 x+2 x^2)+e^4 (2 x^2+2 x^3)) \log ^3(e^3+x)}{(e^3+x) \log ^3(e^3+x)} \, dx\) [1057]
\(\int \genfrac {}{}{}{}{-10-2 x+e^{-2-6 x} (5+x)^2 (10+30 x+6 x^2)}{-5 x-x^2+e^{-2-6 x} (5+x)^2 (5 x+x^2)} \, dx\) [1058]
\(\int \genfrac {}{}{}{}{e^{9 x+3 x^2+(3 x+x^2) \log (-1+e^{e^x}+x)} (-9+6 x+7 x^2+e^{e^x} (9+6 x+e^x (3 x+x^2))+(-3+x+2 x^2+e^{e^x} (3+2 x)) \log (-1+e^{e^x}+x))}{-1+e^{e^x}+x} \, dx\) [1059]
\(\int \genfrac {}{}{}{}{e^3 (4+x^2)}{16+16 x-4 x^2-4 x^3+x^4} \, dx\) [1060]
\(\int \genfrac {}{}{}{}{288+504 x+16 x^2}{-144 x-504 x^2-437 x^3+16 x^3 \log (x)} \, dx\) [1061]
\(\int \genfrac {}{}{}{}{e^{9 e^{\genfrac {}{}{}{}{5 x}{\log (e^{e^x}-\log (x))}}+\genfrac {}{}{}{}{5 x}{\log (e^{e^x}-\log (x))}} (45-45 e^{e^x+x} x+(45 e^{e^x}-45 \log (x)) \log (e^{e^x}-\log (x)))}{(e^{e^x}-\log (x)) \log ^2(e^{e^x}-\log (x))} \, dx\) [1062]
\(\int \genfrac {}{}{}{}{e^{-x} (e^x (-4+8 x^3)+e^{2 e^{-x} (3 x+6 x \log (x)+3 x \log ^2(x))} (72 x^2-24 x^3+(96 x^2-48 x^3) \log (x)+(24 x^2-24 x^3) \log ^2(x))+e^{e^{-x} (3 x+6 x \log (x)+3 x \log ^2(x))} (8 e^x x^2+72 x^3-24 x^4+(96 x^3-48 x^4) \log (x)+(24 x^3-24 x^4) \log ^2(x)))}{x^2} \, dx\) [1063]
\(\int \genfrac {}{}{}{}{-21-3 x+7 x^2-x^3+e^x (5+x)+(5+2 x-x^2) \log (x)+(5-e^x+4 x-x^2+(-1-x) \log (x)) \log (x^2)}{4 x-5 x^2+x^3+e^x (-x+x^2)+(-x+x^2) \log (x)+(-4 x+e^x x+x^2+x \log (x)) \log (x^2)} \, dx\) [1064]
\(\int \genfrac {}{}{}{}{1}{x+\log (\genfrac {}{}{}{}{\log (5)}{4})} \, dx\) [1065]
\(\int \genfrac {}{}{}{}{1}{5} (30+e (19+20 x)) \, dx\) [1066]
\(\int \genfrac {}{}{}{}{1}{9} e^{-24-x} (27 e^{24+4 x}+e^{24} (-9+9 x)+e^x (32 x^7-256 e^3 x^7+896 e^6 x^7-1792 e^9 x^7+2240 e^{12} x^7-1792 e^{15} x^7+896 e^{18} x^7-256 e^{21} x^7+32 e^{24} x^7)) \, dx\) [1067]
\(\int (8 x-139 x^2+e^{e^x} (-2 x-e^x x^2)+51 x^2 \log (x)) \, dx\) [1068]
\(\int \genfrac {}{}{}{}{-104+9 x+1803 x^2+(-4+147 x^2) \log (x)+3 x^2 \log ^2(x)}{1875 x^2+150 x^2 \log (x)+3 x^2 \log ^2(x)} \, dx\) [1069]
\(\int \genfrac {}{}{}{}{8 x+4 e^{2 x} x+e^x (-4-4 x-4 x^2)}{4 e^{3 x} x-4 e^{2 x} x^2+(-4 e^{2 x} x+4 e^x x^2) \log (x^2)+(e^x x-x^2) \log ^2(x^2)+(-8 e^{2 x} x+8 e^x x^2+(4 e^x x-4 x^2) \log (x^2)) \log (-e^x+x)+(4 e^x x-4 x^2) \log ^2(-e^x+x)} \, dx\) [1070]
\(\int \genfrac {}{}{}{}{-1+3 x+2 x^2}{-x+2 x^2} \, dx\) [1071]
\(\int \genfrac {}{}{}{}{8 x+(12 x+16 x^2) \log (2)+(12+8 x+(12 x+8 x^2) \log (2)) \log (\genfrac {}{}{}{}{9+6 x+(9 x+6 x^2) \log (2)}{x})}{3+2 x+(3 x+2 x^2) \log (2)} \, dx\) [1072]
\(\int \genfrac {}{}{}{}{e^{3/x} (240-95 x)-2240 x^2+310 x^3-10 x^4+e^5 (1280 x-160 x^2+5 x^3)}{3 e^{6/x} x^3+588 x^5-84 x^6+3 x^7+e^{10} (768 x^3-96 x^4+3 x^5)+e^5 (-1344 x^4+180 x^5-6 x^6)+e^{3/x} (84 x^4-6 x^5+e^5 (-96 x^3+6 x^4))} \, dx\) [1073]
\(\int x^{-3+x^2} (-2+x^2+2 x^2 \log (x)) \, dx\) [1074]
\(\int \genfrac {}{}{}{}{2 e^6 x+2 e^3 x^2+(-2 e^3 x^2-2 x^3) \log (-\genfrac {}{}{}{}{15 x}{16})+(4 e^3 x+(-2 e^3 x-6 x^2) \log (-\genfrac {}{}{}{}{15 x}{16})) \log (x)+(2 e^3-6 x \log (-\genfrac {}{}{}{}{15 x}{16})) \log ^2(x)-2 \log (-\genfrac {}{}{}{}{15 x}{16}) \log ^3(x)+(-4 e^3 x+(2 e^3 x+6 x^2) \log (-\genfrac {}{}{}{}{15 x}{16})+(-4 e^3+12 x \log (-\genfrac {}{}{}{}{15 x}{16})) \log (x)+6 \log (-\genfrac {}{}{}{}{15 x}{16}) \log ^2(x)) \log (2 x)+(2 e^3-6 x \log (-\genfrac {}{}{}{}{15 x}{16})-6 \log (-\genfrac {}{}{}{}{15 x}{16}) \log (x)) \log ^2(2 x)+2 \log (-\genfrac {}{}{}{}{15 x}{16}) \log ^3(2 x)}{-x^4-3 x^3 \log (x)-3 x^2 \log ^2(x)-x \log ^3(x)+(3 x^3+6 x^2 \log (x)+3 x \log ^2(x)) \log (2 x)+(-3 x^2-3 x \log (x)) \log ^2(2 x)+x \log ^3(2 x)} \, dx\) [1075]
\(\int \genfrac {}{}{}{}{(-2 x-x^2+2 x^3+e^x (-1-x+x^2)) \log (x)+(-e^x x-x^2) \log (x) \log (e^x x+x^2)+(-2 e^x x-2 x^2+(2 e^x+2 x) \log (e^x x+x^2)) \log (\log (x))+(e^x+2 x-x^2) \log (x) \log ^2(\log (x))}{(2 e^x x+2 x^2) \log (x)} \, dx\) [1076]
\(\int \genfrac {}{}{}{}{1}{5} (9+6 x-3 x^2+e^x (-15+5 x)+(9+15 x-11 x^2+e^x (-15-5 x+5 x^2)) \log (x)+(-3 x+x^2+(-6 x+3 x^2) \log (x)) \log (x \log (x))) \, dx\) [1077]
\(\int \genfrac {}{}{}{}{2 3^{e^x (12-6 x)}+3^{e^x (12-6 x)} (2+e^x (12 x-12 x^2) \log (3)) \log (x) \log (\log (x))}{\log (x)} \, dx\) [1078]
\(\int \genfrac {}{}{}{}{e^{-x^3} ((12-4 x) \log (3-x)+(4 x+(-36 x^3+12 x^4) \log (3-x)) \log (x)+(e^{x^3} (3-x) \log (3-x)+e^{x^3} x \log (x)) \log (\log (4)))}{(-3 x+x^2) \log ^2(3-x)} \, dx\) [1079]
\(\int \genfrac {}{}{}{}{1-\log (\genfrac {}{}{}{}{1}{75} (12 x+4 x \log (2)))-2 \log ^2(\genfrac {}{}{}{}{1}{75} (12 x+4 x \log (2)))}{\log ^2(\genfrac {}{}{}{}{1}{75} (12 x+4 x \log (2)))} \, dx\) [1080]
\(\int \genfrac {}{}{}{}{-50 x^4-20 x^3 \log (\log (4))-2 x^2 \log ^2(\log (4))+e^{\genfrac {}{}{}{}{-e^5+x-10 x^3-2 x^2 \log (\log (4))}{10 x^2+2 x \log (\log (4))}} (10 e^5 x-5 x^2-50 x^4+(e^5-20 x^3) \log (\log (4))-2 x^2 \log ^2(\log (4)))}{50 x^4+20 x^3 \log (\log (4))+2 x^2 \log ^2(\log (4))} \, dx\) [1081]
\(\int \genfrac {}{}{}{}{e (1-x)+e^6 (-x+2 x^2)-e x \log (x)+(e^6 (2+x-x^2)+e (-1+x) \log (x)) \log (\genfrac {}{}{}{}{e^5 (-2-x+x^2)+(1-x) \log (x)}{e^5})+(e^{10} (2+x-x^2)+e^5 (-6+x+5 x^2-2 x^3)+(3+e^5 (-1+x)-5 x+2 x^2) \log (x)) \log ^2(\genfrac {}{}{}{}{e^5 (-2-x+x^2)+(1-x) \log (x)}{e^5})}{(e^5 (2+x-x^2)+(-1+x) \log (x)) \log ^2(\genfrac {}{}{}{}{e^5 (-2-x+x^2)+(1-x) \log (x)}{e^5})} \, dx\) [1082]
\(\int \genfrac {}{}{}{}{18-123 x^2+160 x^3-60 x^4+e^{2/x} (12-8 x+6 x^2-2 x^3)}{15 x^2} \, dx\) [1083]
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{1}{\log ^4(2 x^5-x^6+(2 x-x^2) \log (36))}} (40 x^4-24 x^5+(8-8 x) \log (36))}{(-2 x^5+x^6+(-2 x+x^2) \log (36)) \log ^5(2 x^5-x^6+(2 x-x^2) \log (36))} \, dx\) [1084]
\(\int (2+3 e^5 x^2) \, dx\) [1085]
\(\int \genfrac {}{}{}{}{2-3 x}{x} \, dx\) [1086]
\(\int \genfrac {}{}{}{}{(6-x) \log (4)+(3-x) \log (4) \log (-3+x)}{-3 x^2+x^3} \, dx\) [1087]
\(\int \genfrac {}{}{}{}{(-2 e^x x+2 x^2) \log ^2(x)+((e^x (-10-2 x)+10 x+2 x^2) \log ^2(x)+(10 x+12 x^2+2 x^3+e^{2 x} (10 x+2 x^2)+e^x (-10 x-12 x^2-2 x^3)) \log ^3(x)) \log (5+x)+(2 x \log (x)+((10-8 x-2 x^2+e^x (10+2 x)) \log (x)+(10 x+2 x^2+e^x (-10 x-2 x^2)) \log ^2(x)) \log (5+x)) \log (x \log (5+x))+(-10-2 x) \log (5+x) \log ^2(x \log (5+x))}{(5 x+x^2) \log ^3(x) \log (5+x)} \, dx\) [1088]
\(\int \genfrac {}{}{}{}{(-2+4 e^{2 x}+e^{2+2 x+2 x^2} (4+8 x)+e^{1+2 x+x^2} (8+8 x)) \log (\genfrac {}{}{}{}{4}{e^{2 x}+2 e^{1+2 x+x^2}+e^{2+2 x+2 x^2}-x})}{e^{2 x}+2 e^{1+2 x+x^2}+e^{2+2 x+2 x^2}-x} \, dx\) [1089]
\(\int (-3-2 x-8 e^3 x^2-5 e^6 x^4+(-4-6 e^3 x^2) \log (x)-\log ^2(x)) \, dx\) [1090]
\(\int \genfrac {}{}{}{}{e^{-2 e^{-x+x^2}} (e^{-x+x^2} (8 x-16 x^2)-e^{2 e^{-x+x^2}} x \log ^2(16)+2 e^{2 e^{-x+x^2}+\log ^2(x)} \log ^2(16) \log (x))}{x \log ^2(16)} \, dx\) [1091]
\(\int (141+10 x+e^x (1+x) \log ^2(5)) \, dx\) [1092]
\(\int e^{-8 e^4} (-4 e^{2 e^4}-12 x^2) (x^3+e^{2 e^4} (3+x))^3 \, dx\) [1093]
\(\int \genfrac {}{}{}{}{6+2 x+4 x^2+2 x^3-4 \log (3 x^2)+(3+2 x^2) \log ^2(3 x^2)}{6 x+3 x^2+3 x \log ^2(3 x^2)} \, dx\) [1094]
\(\int (1-i \pi -2 x-6 x^2-\log (1+e^5)-4 x \log (4 x+e^4 x)) \, dx\) [1095]
\(\int \genfrac {}{}{}{}{-1650-150 x+(968 x^3+88 x^4+2 x^5) \log ^2(3)}{12100 x^2+1100 x^3+25 x^4} \, dx\) [1096]
\(\int \genfrac {}{}{}{}{3+x^x (3+3 \log (x))+(-x-x^x) \log (x+x^x)}{(3 x+3 x^x) \log (x+x^x)} \, dx\) [1097]
\(\int \genfrac {}{}{}{}{3 e^4 \log (2)}{2 x^2} \, dx\) [1098]
\(\int \genfrac {}{}{}{}{2 e^4+e^{\genfrac {}{}{}{}{16+32 x-9 x^2+4 x^3-x^4}{4 e^4}} (16-9 x+6 x^2-2 x^3)}{2 e^4} \, dx\) [1099]
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{-e^{2 x}+8 x^2+2 e^x x^2-x^4-x^2 \log ^2(2)}{x^2}} (e^{2 x} (2-2 x)+2 e^x x^3-2 x^4)}{x^3} \, dx\) [1100]