3.30 Integrals 2901 to 3000

\(\int \genfrac {}{}{}{}{-9-17 x-98 x^2-25 x^3+(1800 x+475 x^2-75 x^3) \log (-9+x)+(9-x) \log (x)}{-9+x} \, dx\) [2901]
\(\int \genfrac {}{}{}{}{-2-4 x+(-2 x-4 x^2-2 x^3) \log (x+x^2)+(-2 x-2 x^2) \log (x+x^2) \log (\log (x+x^2))}{(x^2+x^3) \log (x+x^2)+(x+x^2) \log (x+x^2) \log (\log (x+x^2))} \, dx\) [2902]
\(\int \genfrac {}{}{}{}{-200-120 x^2+50 x^3-56 x^4+12 x^5-10 x^6+2 x^7+x^9+2 x^{10}}{100 x+80 x^3-40 x^4+56 x^5-16 x^6+20 x^7-8 x^8+4 x^9+4 x^{10}+4 x^{11}} \, dx\) [2903]
\(\int \genfrac {}{}{}{}{-4 e^2+118098 x-16 x^2+e (-39366+16 x)}{e^2 x^3-4 e x^4+4 x^5} \, dx\) [2904]
\(\int \genfrac {}{}{}{}{-1+(1+x-2 x^2) \log (5 x)}{x \log (5 x)} \, dx\) [2905]
\(\int \genfrac {}{}{}{}{-1+e^x (-120 x^3+60 x^4)}{3+e^x (1440 x-1440 x^2+360 x^3)+e^{2 x} (172800 x^2-345600 x^3+259200 x^4-86400 x^5+10800 x^6)} \, dx\) [2906]
\(\int \genfrac {}{}{}{}{(-40 x^2+40 x^3-10 x^4) \log ^2(x)+(2-3 x+x^2) \log (x-x^2)+\log (x) (-2+5 x-2 x^2+(2-2 x+x^2) \log (x-x^2))}{(120 x^2-120 x^3+30 x^4) \log ^2(x)} \, dx\) [2907]
\(\int \genfrac {}{}{}{}{200-75 x-25 x^2-200 x^3-120 x^4+40 x^5+(50-80 x^3-60 x^4) \log (x)}{100+100 x+25 x^2+160 x^3+160 x^4+40 x^5+64 x^6+64 x^7+16 x^8} \, dx\) [2908]
\(\int \genfrac {}{}{}{}{-25 x+10 x^2+e^{\genfrac {}{}{}{}{2}{5} (25+e^{25+x}+5 \log (5)+5 \log (x))} (10+2 e^{25+x} x)+e^{\genfrac {}{}{}{}{1}{5} (25+e^{25+x}+5 \log (5)+5 \log (x))} (-30+20 x+e^{25+x} (-6 x+2 x^2))}{5 x} \, dx\) [2909]
\(\int \genfrac {}{}{}{}{4+6 x+2 x^2+(2+2 x) \log ^2(2)+(4+2 x+2 \log ^2(2)) \log (\genfrac {}{}{}{}{25 x^2+50 x \log ^2(2)+25 \log ^4(2)}{e^{10}})}{x+\log ^2(2)} \, dx\) [2910]
\(\int \genfrac {}{}{}{}{-1+e^{\genfrac {}{}{}{}{5+(10+x) \log (3)+\log (3) \log ^2(16)}{\log (3)}}}{(e^{\genfrac {}{}{}{}{5+(10+x) \log (3)+\log (3) \log ^2(16)}{\log (3)}}-x) \log (e^{\genfrac {}{}{}{}{5+(10+x) \log (3)+\log (3) \log ^2(16)}{\log (3)}}-x)} \, dx\) [2911]
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{4-4 x-3 x^2+2 x^3+x^4}{x-2 e^{e^8 x} x+e^{2 e^8 x} x}} (4+3 x^2-4 x^3-3 x^4+e^{e^8 x} (-4-3 x^2+4 x^3+3 x^4+e^8 (-8 x+8 x^2+6 x^3-4 x^4-2 x^5)))}{-x^2+3 e^{e^8 x} x^2-3 e^{2 e^8 x} x^2+e^{3 e^8 x} x^2} \, dx\) [2912]
\(\int \genfrac {}{}{}{}{(50+(100+100 x) \log (2)+(100+100 x) \log (x)) \log (4 e^{2 x} x^2 \log (2)+4 e^{2 x} x^2 \log (x))+(-50 \log (2)-50 \log (x)) \log ^2(4 e^{2 x} x^2 \log (2)+4 e^{2 x} x^2 \log (x))}{x^3 \log (2)+x^3 \log (x)} \, dx\) [2913]
\(\int \genfrac {}{}{}{}{18 x-216 x^2+(72 x-288 x^2) \log (-x+4 x^2)}{-1+4 x} \, dx\) [2914]
\(\int \genfrac {}{}{}{}{-10 \log (5 x)+(-5 x-10 x^2 \log (5 x)) \log (x^2)-5 \log (x^2) \log (e^{x^2} \log (x^2))}{(4 x+4 x^2+x^3) \log (x^2)+(4 x+2 x^2) \log (5 x) \log (x^2) \log (e^{x^2} \log (x^2))+x \log ^2(5 x) \log (x^2) \log ^2(e^{x^2} \log (x^2))} \, dx\) [2915]
\(\int \genfrac {}{}{}{}{e^{-x} (e^x (-4-4 x-x^2)+e (-2+2 x+x^2))}{4+4 x+x^2} \, dx\) [2916]
\(\int \genfrac {}{}{}{}{-1-10 e^{\genfrac {}{}{}{}{x^3}{3}} x^2+2 e^{\genfrac {}{}{}{}{2 x^3}{3}} x^2}{25-10 e^{\genfrac {}{}{}{}{x^3}{3}}+e^{\genfrac {}{}{}{}{2 x^3}{3}}-x} \, dx\) [2917]
\(\int \genfrac {}{}{}{}{-50 x^4+(-450+300 x-50 x^2-150 x^4) \log (x)+(450-150 x-150 x^4) \log ^2(x)+(450-150 x-50 x^4) \log ^3(x)}{-x^3+25 x^5+(-3 x^3+75 x^5) \log (x)+(225 x-150 x^2+22 x^3+75 x^5) \log ^2(x)+(225 x-150 x^2+24 x^3+25 x^5) \log ^3(x)} \, dx\) [2918]
\(\int \genfrac {}{}{}{}{1}{3} (18 e^{2 x}+18 x+12 x^2+4 x^3+e^x (117+56 x+10 x^2)) \, dx\) [2919]
\(\int \genfrac {}{}{}{}{-15-3 x-x^2-3 \log ^2(4)}{5 x^2+x^3+x^2 \log ^2(4)} \, dx\) [2920]
\(\int (2-6 x+e^{2 x} (2 x+2 x^2)) \, dx\) [2921]
\(\int \genfrac {}{}{}{}{-240+380 x-160 x^2+20 x^3+(-7 x^2+6 x^3-x^4) \log ^2(2)+(-60+80 x-20 x^2) \log (3-4 x+x^2)}{(12 x^2-19 x^3+8 x^4-x^5) \log ^2(2)+(3 x^2-4 x^3+x^4) \log ^2(2) \log (3-4 x+x^2)} \, dx\) [2922]
\(\int \genfrac {}{}{}{}{10-20 \log (x)+5 \log (x) \log (\genfrac {}{}{}{}{5 x^2}{\log (x)})}{\log (x) \log ^3(\genfrac {}{}{}{}{5 x^2}{\log (x)})} \, dx\) [2923]
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{e^{4-x} x+x \log (x)}{\log (x)}} (-e^{4-x}+e^{4-x} (1-x) \log (x)+\log ^2(x))}{e^{\genfrac {}{}{}{}{e^{4-x} x+x \log (x)}{\log (x)}} \log ^2(x)+(-4+4 e^{10}-e^{20}) \log ^2(x)} \, dx\) [2924]
\(\int \genfrac {}{}{}{}{-400+e^{\genfrac {}{}{}{}{2 (e^{1+x}+2 x+e^x x)}{2+e^x}} (8+8 e^x+2 e^{2 x}+4 e^{1+x})+32 x+e^{2 x} (-100+8 x)+e^x (-400+32 x)+e^{\genfrac {}{}{}{}{e^{1+x}+2 x+e^x x}{2+e^x}} (-184+16 x+e^{2 x} (-46+4 x)+e^{1+x} (-100+8 x)+e^x (-184+16 x))}{4+4 e^x+e^{2 x}} \, dx\) [2925]
\(\int \genfrac {}{}{}{}{-2+10 x-5 x^2}{-10 x+5 x^2} \, dx\) [2926]
\(\int \genfrac {}{}{}{}{-5-15 x-2 x \log (x)}{50 x-40 x^2+8 x^3} \, dx\) [2927]
\(\int \genfrac {}{}{}{}{e^{-7 x/3} ((192+e^{7 x/3} (-36-12 x+12 x^2)) \log ^3(x)+(-112 x+e^{7 x/3} (-3 x+6 x^2)) \log ^4(x))}{3 x} \, dx\) [2928]
\(\int \genfrac {}{}{}{}{-1+e^x (1-x)}{81 x^2} \, dx\) [2929]
\(\int \genfrac {}{}{}{}{85+50 e^4-90 x+150 x^2+25 \log (3)+e^x (158-84 x+230 x^2+64 x^3+e^4 (100+24 x)+(50+12 x) \log (3))+e^{2 x} (48-8 x+83 x^2+46 x^3+6 x^4+e^4 (32+16 x+2 x^2)+(16+8 x+x^2) \log (3))}{25+e^x (40+10 x)+e^{2 x} (16+8 x+x^2)} \, dx\) [2930]
\(\int \genfrac {}{}{}{}{1}{3} (7-90 e^{5/3}-90 x) \, dx\) [2931]
\(\int \genfrac {}{}{}{}{-4+x^2-2 x^3 \log (x)+(4+x^2) \log (x) \log (4 \log (x))}{(4 x^2-x^4) \log (x)+(-4 x+x^3) \log (x) \log (4 \log (x))} \, dx\) [2932]
\(\int \genfrac {}{}{}{}{10 x+160 x^2+3 x^3+(150 x+3 x^2) \log (x)+(10 x^2+10 x \log (x)) \log (x^2+2 x \log (x)+\log ^2(x))}{10 x+10 \log (x)} \, dx\) [2933]
\(\int \genfrac {}{}{}{}{-5 x^3+e^{4/x} (100+65 x+14 x^2+x^3)}{25 x^3+10 x^4+x^5} \, dx\) [2934]
\(\int \genfrac {}{}{}{}{e^x (-7-e^{2-2 x}+6 e^{1-x}+\log (4))+e^x (-7-e^{2-2 x}+6 e^{1-x}+\log (4)) \log (x)+e^x (-7 x+e^{2-2 x} x+x \log (4)) \log (x) \log (x \log (x))}{x \log (x)} \, dx\) [2935]
\(\int \genfrac {}{}{}{}{-54 x^4+9 x^5+12 x^6-3 x^7+(72 x^2-36 x^3+4 x^4) \log ^2(3)+(-18+7 x) \log ^4(3)+(18 x^5-2 x^7+(-18 x^3+8 x^4) \log ^2(3)) \log (x^2)+x^7 \log ^2(x^2)}{9 x^7-6 x^8+x^9} \, dx\) [2936]
\(\int \genfrac {}{}{}{}{(1-x-x^2) \log (4 e^{e^x})+\log ^2(4 e^{e^x}) (-2 x^2+4 x^3-2 x^4+(-2 x+4 x^2-2 x^3) \log (-x+x^2))+(e^x (-x^2+x^3)+e^x (-x+x^2) \log (-x+x^2)) \log (x+\log (-x+x^2))}{\log ^2(4 e^{e^x}) (-x^2+x^3+(-x+x^2) \log (-x+x^2))} \, dx\) [2937]
\(\int \genfrac {}{}{}{}{-4-6 x-3 x^3-6 x^4-3 x^5+(-8-12 x^3-12 x^4) \log (\log (5))-12 x^3 \log ^2(\log (5))}{3 x^3+6 x^4+3 x^5+(12 x^3+12 x^4) \log (\log (5))+12 x^3 \log ^2(\log (5))} \, dx\) [2938]
\(\int \genfrac {}{}{}{}{-25 x^3-x^4 \log (\genfrac {}{}{}{}{4}{x})+(-2450 x^3+x^4-199 x^4 \log (\genfrac {}{}{}{}{4}{x})-4 x^5 \log ^2(\genfrac {}{}{}{}{4}{x})) \log (x)+(10000 x^3+100 x^4+(700 x^4+4 x^5) \log (\genfrac {}{}{}{}{4}{x})+12 x^5 \log ^2(\genfrac {}{}{}{}{4}{x})) \log ^2(x)+(500000 x^3+60000 x^4 \log (\genfrac {}{}{}{}{4}{x})+2400 x^5 \log ^2(\genfrac {}{}{}{}{4}{x})+32 x^6 \log ^3(\genfrac {}{}{}{}{4}{x})) \log ^3(x)}{(31250+3750 x \log (\genfrac {}{}{}{}{4}{x})+150 x^2 \log ^2(\genfrac {}{}{}{}{4}{x})+2 x^3 \log ^3(\genfrac {}{}{}{}{4}{x})) \log ^3(x)} \, dx\) [2939]
\(\int \genfrac {}{}{}{}{1+e^{2 x} (x+x^2+3 x^3-x^4)+(-x+x^2+3 x^3-x^4) \log (x)+(-e^{2 x} x-x \log (x)) \log (e^{2 x}+\log (x))}{e^{2 x} (x^3-x^5)+(x^3-x^5) \log (x)+(-e^{2 x} x^2-x^2 \log (x)) \log (e^{2 x}+\log (x))+(e^{2 x} (-x^2+x^4)+(-x^2+x^4) \log (x)+(e^{2 x} x+x \log (x)) \log (e^{2 x}+\log (x))) \log (\genfrac {}{}{}{}{1}{2} (-x+x^3+\log (e^{2 x}+\log (x))))} \, dx\) [2940]
\(\int e^{20} \log (3) \, dx\) [2941]
\(\int \genfrac {}{}{}{}{e^{-x} (-20 e^x-1280 x^2+640 x^5-160 x^6+40 x^9-5 x^{10})}{x^2} \, dx\) [2942]
\(\int \genfrac {}{}{}{}{25 x^2+(15+3 x^2) \log (5)}{-100 x^2+25 x^3+(-15 x-15 x^2+3 x^3) \log (5)} \, dx\) [2943]
\(\int \genfrac {}{}{}{}{-256+1250 e^{2 x} x^3+1250 x^4+e^x (-1250 x^3-1250 x^4)}{125 x^3} \, dx\) [2944]
\(\int \genfrac {}{}{}{}{25 x^3+35 x^4+11 x^5+x^6+e^{\genfrac {}{}{}{}{-25-10 x^3+5 x^4+e (-10 x^3-2 x^4)}{25 x^3+5 x^4}} (75+20 x+7 x^4)}{25 x^4+10 x^5+x^6} \, dx\) [2945]
\(\int \genfrac {}{}{}{}{e^{-\genfrac {}{}{}{}{2 e^x}{x}} (-1250 x+e^x (-1250+1250 x)+(-1250 x+e^x (-2500+2500 x)) \log (x)+e^x (-1250+1250 x) \log ^2(x)+e^{\genfrac {}{}{}{}{2 e^x}{x}} (-200 x+2 x^2-200 x \log (x))+e^{\genfrac {}{}{}{}{e^x}{x}} (e^x (500-500 x)+1000 x+(e^x (1000-1000 x)+1000 x) \log (x)+e^x (500-500 x) \log ^2(x)))}{x^2} \, dx\) [2946]
\(\int \genfrac {}{}{}{}{8-4 x+4 \log (3)-\log ^2(5)-4 x \log (x)}{(-8192 x+12288 x^2-6144 x^3+1024 x^4+(-12288 x+12288 x^2-3072 x^3) \log (3)+(-6144 x+3072 x^2) \log ^2(3)-1024 x \log ^3(3)+(3072 x-3072 x^2+768 x^3+(3072 x-1536 x^2) \log (3)+768 x \log ^2(3)) \log ^2(5)+(-384 x+192 x^2-192 x \log (3)) \log ^4(5)+16 x \log ^6(5)) \log ^3(x)} \, dx\) [2947]
\(\int \genfrac {}{}{}{}{16 x^3+24 x^4+12 x^5+2 x^6+e^{\genfrac {}{}{}{}{2-x}{2 x+x^2}} (-4-4 x+5 x^2+4 x^3+x^4)}{8 x^4+8 x^5+2 x^6+e^{\genfrac {}{}{}{}{2-x}{2 x+x^2}} (4 x^2+4 x^3+x^4)} \, dx\) [2948]
\(\int \genfrac {}{}{}{}{1}{25} (-4920+17048 x-14760 x^2+3600 x^3+e^{10} (800 x-960 x^2+256 x^3)+e^5 (-1200+7520 x-7536 x^2+1920 x^3)) \, dx\) [2949]
\(\int e^{65-16 x+x^2} (-16+2 x) \, dx\) [2950]
\(\int \genfrac {}{}{}{}{75-150 x+690 x^2+294 x^3+30 x^4+(150 x+60 x^2+6 x^3) \log (x)+(150 x+60 x^2+6 x^3) \log ^2(x)}{125+50 x+5 x^2} \, dx\) [2951]
\(\int -\genfrac {}{}{}{}{e^3 (1-80 x)}{16 x (-x+80 x^2)} \, dx\) [2952]
\(\int \genfrac {}{}{}{}{e^{16+2 x} x+8 e^{16} x^2+e^{4 e^{-2 x}} (-4 e^{2 x}+2 e^{2 x} \log (x))}{e^{16+2 x} x^2+e^{4 e^{-2 x}} (4 e^{2 x} x-4 e^{2 x} x \log (x)+e^{2 x} x \log ^2(x))} \, dx\) [2953]
\(\int \genfrac {}{}{}{}{-5 x-7 x^2-4 x^3+e^5 (-5-2 x-2 x^2)+e^x (-x-x^2-x^3+e^5 (-1-x^2))+(-e^5-x-x^2) \log (5)+(10 x+6 x^2+e^5 (5+4 x)+e^x (2 x+x^2+e^5 (1+x))+(e^5+2 x) \log (5)) \log (x)}{e^{2 x} (e^{10} x^2+2 e^5 x^3+x^4) \log (5)+(25 x^4+20 x^5+4 x^6+e^{10} (25 x^2+20 x^3+4 x^4)+e^5 (50 x^3+40 x^4+8 x^5)) \log (5)+(10 x^4+4 x^5+e^{10} (10 x^2+4 x^3)+e^5 (20 x^3+8 x^4)) \log ^2(5)+(e^{10} x^2+2 e^5 x^3+x^4) \log ^3(5)+e^x ((10 x^4+4 x^5+e^{10} (10 x^2+4 x^3)+e^5 (20 x^3+8 x^4)) \log (5)+(2 e^{10} x^2+4 e^5 x^3+2 x^4) \log ^2(5))} \, dx\) [2954]
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{6561+5832 x^2-2916 x^3+1944 x^4-1944 x^5+774 x^6-432 x^7+232 x^8+e^4 x^8+e^5 x^8-68 x^9+24 x^{10}-8 x^{11}+x^{12}+e^2 (162 x^4+72 x^6-36 x^7+8 x^8-8 x^9+2 x^{10})+(-2916 x^2-1944 x^4+972 x^5-432 x^6+432 x^7-140 x^8+48 x^9-24 x^{10}+4 x^{11}+e^2 (-36 x^6-8 x^8+4 x^9)) \log (x)+(486 x^4+216 x^6-108 x^7+24 x^8+2 e^2 x^8-24 x^9+6 x^{10}) \log ^2(x)+(-36 x^6-8 x^8+4 x^9) \log ^3(x)+x^8 \log ^4(x)}{x^8}} (-52488-37908 x^2+14580 x^3-9720 x^4+6804 x^5-1980 x^6+864 x^7-140 x^8-20 x^9+24 x^{10}-20 x^{11}+4 x^{12}+e^2 (-648 x^4-180 x^6+36 x^7-8 x^8-4 x^9+4 x^{10})+(17496 x^2+8748 x^4-2916 x^5+1296 x^6-648 x^7+48 x^8-36 x^{10}+12 x^{11}+e^2 (72 x^6+4 x^8+4 x^9)) \log (x)+(-1944 x^4-540 x^6+108 x^7-24 x^8-12 x^9+12 x^{10}) \log ^2(x)+(72 x^6+4 x^8+4 x^9) \log ^3(x))}{x^9} \, dx\) [2955]
\(\int \genfrac {}{}{}{}{-9 e^{-x}-9 e^{-x} x \log (\genfrac {}{}{}{}{4 x}{21})}{2 x \log ^2(\genfrac {}{}{}{}{4 x}{21})} \, dx\) [2956]
\(\int \genfrac {}{}{}{}{1}{5} (9 e^x (1+24 e^x+12 x)+45 e^x \log (\log (4))) \, dx\) [2957]
\(\int \genfrac {}{}{}{}{1}{6} (-4+e^x (-4-4 x)+3 x^2) \, dx\) [2958]
\(\int \genfrac {}{}{}{}{3-4 x \log (x)}{4 x} \, dx\) [2959]
\(\int -\genfrac {}{}{}{}{162 e^{-1+3 e^3+e^{\genfrac {}{}{}{}{18}{95+9 x}}+\genfrac {}{}{}{}{18}{95+9 x}}}{9025+1710 x+81 x^2} \, dx\) [2960]
\(\int \genfrac {}{}{}{}{-10+2 \log (5)+(5-\log (5)) \log (4 x^2)}{4 x^2} \, dx\) [2961]
\(\int \genfrac {}{}{}{}{1223+16 x+(1223+8 x) \log (x)+405 \log ^2(x)+45 \log ^3(x)}{1215+1215 \log (x)+405 \log ^2(x)+45 \log ^3(x)} \, dx\) [2962]
\(\int \genfrac {}{}{}{}{2+x+e^4 x-x^2+x \log (\genfrac {}{}{}{}{16}{x^2})}{e^4 x-x^2+x \log (\genfrac {}{}{}{}{16}{x^2})} \, dx\) [2963]
\(\int \genfrac {}{}{}{}{3+e^{-1+e^3+x} (1+x)}{\log (75)} \, dx\) [2964]
\(\int \genfrac {}{}{}{}{2 x+e^4 x^2+x^4+e^2 (-1-2 x^3)+e^{2-x} (3 x+e^4 x^2+x^4+e^2 (-2-2 x^3))+(-1-2 e^4 x+4 e^2 x^2-2 x^3+e^{2-x} (-1-2 e^4 x+4 e^2 x^2-2 x^3)) \log (1+e^{2-x})+(e^4-2 e^2 x+x^2+e^{2-x} (e^4-2 e^2 x+x^2)) \log ^2(1+e^{2-x})}{-x^2+e^4 x^3+x^5+e^2 (x-2 x^4)+e^{2-x} (-x^2+e^4 x^3+x^5+e^2 (x-2 x^4))+(x-2 e^4 x^2-2 x^4+e^2 (-1+4 x^3)+e^{2-x} (x-2 e^4 x^2-2 x^4+e^2 (-1+4 x^3))) \log (1+e^{2-x})+(e^4 x-2 e^2 x^2+x^3+e^{2-x} (e^4 x-2 e^2 x^2+x^3)) \log ^2(1+e^{2-x})} \, dx\) [2965]
\(\int \genfrac {}{}{}{}{e^{-x+\genfrac {}{}{}{}{-20+25 x+e^{2 e^{-x} x} (-4 x+4 x^2)}{-4+5 x}} (e^x (16-40 x+25 x^2)+e^{2 e^{-x} x} (32 x^2-104 x^3+112 x^4-40 x^5+e^x (16 x-32 x^2+20 x^3)))}{16-40 x+25 x^2} \, dx\) [2966]
\(\int \genfrac {}{}{}{}{16+5 x-5 x^3+e x^3-2 x^4}{2 x^3} \, dx\) [2967]
\(\int \genfrac {}{}{}{}{-600-300 x+67 x^2+8 x^3-x^4}{-1800 x+150 x^2+99 x^3-2 x^4-x^5+(600 x-150 x^2-8 x^3+2 x^4) \log (\genfrac {}{}{}{}{300-75 x-4 x^2+x^3}{x})} \, dx\) [2968]
\(\int \genfrac {}{}{}{}{-e^{3 x}+e^{2 x} (4-2 x)+4 x^2+e^x (8 x-x^2)+(4 e^x x \log (5)+4 x^2 \log (5)) \log (3 x^2)+(x^2 \log (5)+e^x (2 x-x^2) \log (5)) \log ^2(3 x^2)}{e^{2 x}+2 e^x x+x^2} \, dx\) [2969]
\(\int \genfrac {}{}{}{}{2+e^{2 x} (70-50 x)-2 x+e^x (-32+16 x)}{1-10 e^x+25 e^{2 x}} \, dx\) [2970]
\(\int e^{4 x+e^{2 e^{4-3 x^2} x^2} x} (4+e^{2 e^{4-3 x^2} x^2} (1+e^{4-3 x^2} (4 x^2-12 x^4))) \, dx\) [2971]
\(\int \genfrac {}{}{}{}{-81+x-7776 x^5+96 x^6+64 x^5 \log (-81+x)+(-12960 x^4+160 x^5) \log ^2(-81+x)+96 x^4 \log ^3(-81+x)+(-7776 x^3+96 x^4) \log ^4(-81+x)+48 x^3 \log ^5(-81+x)+(-1944 x^2+24 x^3) \log ^6(-81+x)+8 x^2 \log ^7(-81+x)+(-162 x+2 x^2) \log ^8(-81+x)}{-81+x} \, dx\) [2972]
\(\int \genfrac {}{}{}{}{509+e^{2 x} (2-4 x)+63 x^2+2 x^3-6 x^4+e^x (-64+64 x-4 x^2-4 x^3)}{x^2} \, dx\) [2973]
\(\int \genfrac {}{}{}{}{2048+4096 x^2+3072 x \log (2)+e^x (100 x+75 \log (2))}{100 x+75 \log (2)} \, dx\) [2974]
\(\int \genfrac {}{}{}{}{x^{-6/x} (-x^2-2 x^4+(x+2 x^3) \log (9)+(-30 x+5 x^2+6 x^3-x^4+(30-6 x^2) \log (9)+(36 x-x^2-6 x^3+(-36+6 x^2) \log (9)) \log (x)+(-6 x+6 \log (9)) \log ^2(x)) \log (-5+x^2+\log (x)))}{-5 x^2+x^4+x^2 \log (x)} \, dx\) [2975]
\(\int \genfrac {}{}{}{}{1}{3} e^{\genfrac {}{}{}{}{1}{3} (3 e^{x^2-2 x \log (5)+\log ^2(5)}-e^{4 e^3} x^2+4 e^{3 e^3} x^3-6 e^{2 e^3} x^4+4 e^{e^3} x^5-x^6)} (-2 e^{4 e^3} x+12 e^{3 e^3} x^2-24 e^{2 e^3} x^3+20 e^{e^3} x^4-6 x^5+e^{x^2-2 x \log (5)+\log ^2(5)} (6 x-6 \log (5))) \, dx\) [2976]
\(\int -\genfrac {}{}{}{}{2}{x} \, dx\) [2977]
\(\int \genfrac {}{}{}{}{1}{2} (-1+2 e^x) \, dx\) [2978]
\(\int \genfrac {}{}{}{}{3600-27 x^3+9 e^5 x^3+e^5 (400-3 x^3) \log (\genfrac {}{}{}{}{1}{100} (-400+3 x^3))}{-400 x^2+3 x^5} \, dx\) [2979]
\(\int \genfrac {}{}{}{}{-6 x-12 x^3+30 x^4}{2-3 x^2-3 x^4+6 x^5} \, dx\) [2980]
\(\int \genfrac {}{}{}{}{-20 x^2+e^{\genfrac {}{}{}{}{-4+x^2}{x}} (-40-10 x^2)}{e^{3+\genfrac {}{}{}{}{2 (-4+x^2)}{x}} x^2+e^{3+\genfrac {}{}{}{}{-4+x^2}{x}} (8 x^2+4 x^3)+e^3 (16 x^2+16 x^3+4 x^4)} \, dx\) [2981]
\(\int \genfrac {}{}{}{}{e^x (-320 x-96 x^2+208 x^3-64 x^4)+e^x (128 x+64 x^2) \log (x)}{-216+540 x-882 x^2+845 x^3-588 x^4+240 x^5-64 x^6+(432-720 x+876 x^2-480 x^3+192 x^4) \log (x)+(-288+240 x-192 x^2) \log ^2(x)+64 \log ^3(x)} \, dx\) [2982]
\(\int \genfrac {}{}{}{}{-4-4 x+(-4-6 x) \log (x)-1296 x^3 \log ^3(x)}{(81 x^3+162 x^4+81 x^5) \log ^3(x)} \, dx\) [2983]
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{-6-3 x+x^2+(-2-x) \log (4 x-x^2)}{2+x}} (16+8 x-20 x^2-2 x^3+x^4)}{-16 x-12 x^2+x^4} \, dx\) [2984]
\(\int \genfrac {}{}{}{}{e^{2 x} (2+x)+(e^x (4+2 x)+e^{2 x} (3 x+2 x^2)) \log (x)+(2-4 e^{2 x}+x-4 e^{3 x} x+e^x (6 x+4 x^2)) \log ^2(x)+(3 x+2 x^2) \log ^3(x)}{e^{4 x} x \log ^2(x)+2 e^{3 x} x \log ^3(x)+e^{2 x} x \log ^4(x)} \, dx\) [2985]
\(\int \genfrac {}{}{}{}{e^{-3+\genfrac {}{}{}{}{e^{-3+e^{512+2 e^2+64 x+2 x^2}}}{x}} (4 e^3 x+e^{e^{512+2 e^2+64 x+2 x^2}} (-4+e^{512+2 e^2+64 x+2 x^2} (256 x+16 x^2)))}{x} \, dx\) [2986]
\(\int \genfrac {}{}{}{}{-25-2 x^3+(25-95 x-x^3) \log (5)+(-25+95 x+x^3) \log (\genfrac {}{}{}{}{-25+95 x+x^3}{5 x})}{-75 x^2+285 x^3+3 x^5} \, dx\) [2987]
\(\int \genfrac {}{}{}{}{27-18 x-18 e^4 x+3 x^2}{9 x-6 x^2+x^3} \, dx\) [2988]
\(\int \genfrac {}{}{}{}{e^{-\genfrac {}{}{}{}{240 x}{5 x+e^x \log (x)}} (960 e^x x-200 x^2+e^x (-1040 x+960 x^2) \log (x)-8 e^{2 x} \log ^2(x))}{25 x^5+10 e^x x^4 \log (x)+e^{2 x} x^3 \log ^2(x)} \, dx\) [2989]
\(\int \genfrac {}{}{}{}{2 \log (9)-\log (9) \log (\genfrac {}{}{}{}{3}{x^2})}{x \log (\genfrac {}{}{}{}{3}{x^2})} \, dx\) [2990]
\(\int \genfrac {}{}{}{}{-2-2 e^x+(1+e^x (1-x)) \log (x)+(1+e^x+(-1-e^x) \log (x)) \log (\genfrac {}{}{}{}{5}{x+e^x x})}{(-10 x-10 e^x x) \log (x)+(5 x+5 e^x x) \log (x) \log (\genfrac {}{}{}{}{5}{x+e^x x})+((-2 x-2 e^x x) \log (x)+(x+e^x x) \log (x) \log (\genfrac {}{}{}{}{5}{x+e^x x})) \log (\genfrac {}{}{}{}{2 \log (x)-\log (x) \log (\genfrac {}{}{}{}{5}{x+e^x x})}{x})} \, dx\) [2991]
\(\int \genfrac {}{}{}{}{-625-625 x+250 e^2 x-25 e^4 x+(1000 x-200 e^2 x) \log (19)-400 x \log ^2(19)}{-15625+46875 x-46875 x^2+15625 x^3-30 e^{10} x^3+e^{12} x^3+e^2 (-18750 x+37500 x^2-18750 x^3)+e^6 (1500 x^2-2500 x^3)+e^8 (-75 x^2+375 x^3)+e^4 (1875 x-11250 x^2+9375 x^3)+(-75000 x+150000 x^2-75000 x^3-600 e^8 x^3+24 e^{10} x^3+e^4 (18000 x^2-30000 x^3)+e^6 (-1200 x^2+6000 x^3)+e^2 (15000 x-90000 x^2+75000 x^3)) \log (19)+(30000 x-180000 x^2+150000 x^3-4800 e^6 x^3+240 e^8 x^3+e^2 (72000 x^2-120000 x^3)+e^4 (-7200 x^2+36000 x^3)) \log ^2(19)+(96000 x^2-160000 x^3-19200 e^4 x^3+1280 e^6 x^3+e^2 (-19200 x^2+96000 x^3)) \log ^3(19)+(-19200 x^2+96000 x^3-38400 e^2 x^3+3840 e^4 x^3) \log ^4(19)+(-30720 x^3+6144 e^2 x^3) \log ^5(19)+4096 x^3 \log ^6(19)} \, dx\) [2992]
\(\int -\genfrac {}{}{}{}{2 \log ^2(\log (5)) \log (4-x+5 \log (\log (4)) \log (\log (25)))}{4-x+5 \log (\log (4)) \log (\log (25))} \, dx\) [2993]
\(\int \genfrac {}{}{}{}{-380+76 e^{e^5}-3 x^2+(380-76 e^{e^5}+9 x^2) \log (2 x)}{76 \log ^2(2 x)} \, dx\) [2994]
\(\int \genfrac {}{}{}{}{-1-x-x^2+(-1-2 x-3 x^2) \log (x)}{(x+x^2+x^3) \log (x)} \, dx\) [2995]
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{2 (7+x)}{x}} (-896-64 x)+192 x}{81 x-54 e^{\genfrac {}{}{}{}{2 (7+x)}{x}} x+9 e^{\genfrac {}{}{}{}{4 (7+x)}{x}} x} \, dx\) [2996]
\(\int \genfrac {}{}{}{}{1740 x^5-2388 x^6+1143 x^7-222 x^8+15 x^9+(-64 x+32 x^2) \log (\genfrac {}{}{}{}{-29+5 x}{-5+x})+(4640-4628 x+1240 x^2-100 x^3) \log ^2(\genfrac {}{}{}{}{-29+5 x}{-5+x})}{1740 x^5-2388 x^6+1143 x^7-222 x^8+15 x^9} \, dx\) [2997]
\(\int \genfrac {}{}{}{}{1}{4} e^{\genfrac {}{}{}{}{1}{4} (-4+4 x+64 x^2-64 x^3+(1-x) \log (9))} (4+4 x+128 x^2-192 x^3-x \log (9)) \, dx\) [2998]
\(\int \genfrac {}{}{}{}{2+\log (x)}{x+x \log (x)} \, dx\) [2999]
\(\int e^{-\genfrac {}{}{}{}{2 (2 x-2 e^x \log (2) \log (4)+2 \log ^2(2) \log (4))}{x}} (2 x+e^{\genfrac {}{}{}{}{2 (2 x-2 e^x \log (2) \log (4)+2 \log ^2(2) \log (4))}{x}} (-1+2 x)+e^x (-4+4 x) \log (2) \log (4)+4 \log ^2(2) \log (4)+e^{\genfrac {}{}{}{}{2 x-2 e^x \log (2) \log (4)+2 \log ^2(2) \log (4)}{x}} (-4 x+e^x (4-4 x) \log (2) \log (4)-4 \log ^2(2) \log (4))) \, dx\) [3000]