3.22 Integrals 2101 to 2200

   \(\int \genfrac {}{}{}{}{12-e^2+e^5+3 x}{12 x-e^2 x+e^5 x+x^2} \, dx\) [2101]
   \(\int \genfrac {}{}{}{}{2 e^x+(-45-3 e^x) \log (x) \log (\log (x)) \log (144 \log ^2(\log (x)))+(-15-e^x) \log (x) \log (\log (x)) \log (144 \log ^2(\log (x))) \log (\log (144 \log ^2(\log (x))))+(e^x (-3+3 x) \log (x) \log (\log (x)) \log (144 \log ^2(\log (x)))+e^x (-1+x) \log (x) \log (\log (x)) \log (144 \log ^2(\log (x))) \log (\log (144 \log ^2(\log (x))))) \log (\genfrac {}{}{}{}{3+\log (\log (144 \log ^2(\log (x))))}{x})}{15 x^2 \log (x) \log (\log (x)) \log (144 \log ^2(\log (x)))+5 x^2 \log (x) \log (\log (x)) \log (144 \log ^2(\log (x))) \log (\log (144 \log ^2(\log (x))))} \, dx\) [2102]
   \(\int \genfrac {}{}{}{}{e^x (1-x)+2 x^2+2 e^{x^2} x^3}{x^2} \, dx\) [2103]
   \(\int \genfrac {}{}{}{}{720 x+144 x^2-288 x^3+(360-648 x-432 x^2) \log (x)+(-360-144 x) \log ^2(x)}{125 x^3+75 x^4+15 x^5+x^6} \, dx\) [2104]
   \(\int e^{-2+e^x-x} (-8 x+4 x^2-4 e^x x^2) \, dx\) [2105]
   \(\int \genfrac {}{}{}{}{e^{8+x} (-2+2 x) \log ^2(\log (4))}{x^2} \, dx\) [2106]
   \(\int (e^{2 x} (-200+40 e^5)+e^{2 x} (50+e^5 (-10-18 x)+90 x) \log (x)+e^{2 x} (-10 x-10 x^2+e^5 (2 x+2 x^2)) \log ^2(x)) \, dx\) [2107]
   \(\int e^{-x} (-3-e^x) \, dx\) [2108]
   \(\int \genfrac {}{}{}{}{-1+(1-15 x+2 x^2-8 e^{x^2} x^2) \log (x)}{x \log (x)} \, dx\) [2109]
   \(\int \genfrac {}{}{}{}{-100+50 x-4 x^2+e^{e^x} (-25+4 x^2+e^x (-25 x+20 x^2-4 x^3))}{16 x^2+e^{2 e^x} x^2-8 x^3+x^4+e^{e^x} (8 x^2-2 x^3)} \, dx\) [2110]
   \(\int -\genfrac {}{}{}{}{e^{-x \log (2)+9 \log (2) \log (9+x)} x \log (2)}{9+x} \, dx\) [2111]
   \(\int \genfrac {}{}{}{}{40200250 x-120300 x^2-31823280 x^3-32496 x^4+576 x^5-192 x^6+128 x^7+e^{2 e^3+2 x} (250-300 x+720 x^2-496 x^3+576 x^4-192 x^5+128 x^6)+e^{e^3+x} (-100250-59950 x+79580 x^2-208224 x^3+127920 x^4-64384 x^5+64 x^6-128 x^7)}{125-150 x+360 x^2-248 x^3+288 x^4-96 x^5+64 x^6} \, dx\) [2112]
   \(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{x}{5+\log (\genfrac {}{}{}{}{\log (3)}{x})}} (e^{2 x} (-224 e+200 x+224 x^2)+e^{2 x} (-84 e+80 x+84 x^2) \log (\genfrac {}{}{}{}{\log (3)}{x})+e^{2 x} (-8 e+8 x+8 x^2) \log ^2(\genfrac {}{}{}{}{\log (3)}{x}))}{25+10 \log (\genfrac {}{}{}{}{\log (3)}{x})+\log ^2(\genfrac {}{}{}{}{\log (3)}{x})} \, dx\) [2113]
   \(\int \genfrac {}{}{}{}{10 e^4 x^5+e^{4+\genfrac {}{}{}{}{-5625-150 x^3+4 x^5-x^6}{x^4}} (112500+750 x^3+20 x^5-10 x^6)}{x^5} \, dx\) [2114]
   \(\int \genfrac {}{}{}{}{-9-16 e^4+46 x-33 x^2-72 x^3}{1-6 x+9 x^2} \, dx\) [2115]
   \(\int \genfrac {}{}{}{}{560 x^7-x^9+e^{3 x} (320 x^4-x^6)+e^{2 x} (-38400 x^3+38400 x^4+1320 x^5-120 x^6-3 x^7)+e^x (-67200 x^4+67200 x^5+1560 x^6-120 x^7-3 x^8)+e^{30+15 x} (e^{3 x} x^3-240 x^4+x^6+e^{2 x} (-360 x^2+120 x^3+3 x^4)+e^x (28800 x-28800 x^2-600 x^3+120 x^4+3 x^5))+e^{20+10 x} (-38400 x^3+192000 x^4+1200 x^5-800 x^6-3 x^7+e^{3 x} (480 x^2-800 x^3-3 x^4)+e^{2 x} (-76800 x+230400 x^2+2520 x^3-2760 x^4-9 x^5)+e^x (-201600 x^2+508800 x^3+3240 x^4-2760 x^5-9 x^6))+e^{10+5 x} (89600 x^4-448000 x^5-1520 x^6+800 x^7+3 x^8+e^{3 x} (51200 x-256000 x^2-800 x^3+800 x^4+3 x^5)+e^{2 x} (268800 x^2-1036800 x^3-3480 x^4+2760 x^5+9 x^6)+e^x (393600 x^3-1315200 x^4-4200 x^5+2760 x^6+9 x^7))}{-1600 e^{3 x} x^3-4800 e^{2 x} x^4-4800 e^x x^5-1600 x^6+e^{30+15 x} (1600 e^{3 x}+4800 e^{2 x} x+4800 e^x x^2+1600 x^3)+e^{20+10 x} (-4800 e^{3 x} x-14400 e^{2 x} x^2-14400 e^x x^3-4800 x^4)+e^{10+5 x} (4800 e^{3 x} x^2+14400 e^{2 x} x^3+14400 e^x x^4+4800 x^5)} \, dx\) [2116]
   \(\int \genfrac {}{}{}{}{4 x^3+4 x^2 \log (5)+(x-8 x^4+(1-8 x^2-8 x^3) \log (5)) \log (x) \log (\log (x))+(4 x^2+4 x \log (5)+(-12 x^3+(-8 x-12 x^2) \log (5)) \log (x) \log (\log (x))) \log (\genfrac {}{}{}{}{x^2}{(x^2+2 x \log (5)+\log ^2(5)) \log (\log (x))})+(-4 x^2-4 x \log (5)) \log (x) \log (\log (x)) \log ^2(\genfrac {}{}{}{}{x^2}{(x^2+2 x \log (5)+\log ^2(5)) \log (\log (x))})}{(2 x+2 \log (5)) \log (x) \log (\log (x))} \, dx\) [2117]
   \(\int \genfrac {}{}{}{}{-10 e^8-e^4 x^2+x^6 (-250-100 x-10 x^2)+x^3 (-75 x-30 x^2-3 x^3+e^4 (100+20 x))}{5 e^{12} x^2+e^8 x^3 (-50 x^2-10 x^3)+e^4 x^6 (125 x^2+50 x^3+5 x^4)} \, dx\) [2118]
   \(\int -\genfrac {}{}{}{}{2 e^{14}}{144 x^2+216 e^5 x^2+81 e^{10} x^2} \, dx\) [2119]
   \(\int \genfrac {}{}{}{}{-10+e^x (-2-x^2)+(5+e^x (1+x)) \log (5 x^2)}{100 x^2+40 e^x x^2+4 e^{2 x} x^2} \, dx\) [2120]
   \(\int e^{-1+x} \, dx\) [2121]
   \(\int \genfrac {}{}{}{}{e^5 (-6-12 x-6 x^2+\genfrac {}{}{}{}{7 x (2 x^2+2 x^3+x^4)}{e^5})}{7 x (x^2+2 x^3+x^4)} \, dx\) [2122]
   \(\int \genfrac {}{}{}{}{432 x^2-492 x^3+552 x^4+168 x^5+(576 x^2-984 x^3-252 x^4) \log (x^2)+(432 x^2+84 x^3) \log ^2(x^2)}{576+336 x+49 x^2} \, dx\) [2123]
   \(\int \genfrac {}{}{}{}{-3 x+3 x^2-3 x^2 \log (-\genfrac {}{}{}{}{3}{2 x})+(3-6 x+18 x^2) \log ^2(-\genfrac {}{}{}{}{3}{2 x})}{x^2+(2 x-12 x^2) \log (-\genfrac {}{}{}{}{3}{2 x})+(1-12 x+36 x^2) \log ^2(-\genfrac {}{}{}{}{3}{2 x})} \, dx\) [2124]
   \(\int \genfrac {}{}{}{}{\genfrac {}{}{}{}{5+18 x}{e^4 \log (\genfrac {}{}{}{}{1}{5} (5 x+9 x^2))}+(-5 x-9 x^2) \log (\genfrac {}{}{}{}{1}{5} (5 x+9 x^2))}{(5 x+9 x^2) \log (\genfrac {}{}{}{}{1}{5} (5 x+9 x^2))} \, dx\) [2125]
   \(\int \genfrac {}{}{}{}{32-3 x-16 x^4-4 x \log (x)}{4 x} \, dx\) [2126]
   \(\int \genfrac {}{}{}{}{-3-6 x \log (84)}{x \log ^2(6)+x^2 \log ^2(6) \log (84)+(-2 x \log (6)-2 x^2 \log (6) \log (84)) \log (x+x^2 \log (84))+(x+x^2 \log (84)) \log ^2(x+x^2 \log (84))} \, dx\) [2127]
   \(\int \genfrac {}{}{}{}{459-45 e^5-288 x+84 x^2-8 x^3}{36-24 x+4 x^2} \, dx\) [2128]
   \(\int \genfrac {}{}{}{}{75 e^{2 x}+5 e^x x^2}{x^2+e^x (30 x+70 x^2)+e^{2 x} (225+1050 x+1225 x^2)} \, dx\) [2129]
   \(\int \genfrac {}{}{}{}{e^{-\genfrac {}{}{}{}{1}{-2 \log (\genfrac {}{}{}{}{3}{2})+2 e^{2 x} \log (2)}} (2 x \log ^2(\genfrac {}{}{}{}{3}{2})+e^{2 x} (x^2-4 x \log (\genfrac {}{}{}{}{3}{2})) \log (2)+2 e^{4 x} x \log ^2(2))}{4 \log ^2(\genfrac {}{}{}{}{3}{2})-8 e^{2 x} \log (\genfrac {}{}{}{}{3}{2}) \log (2)+4 e^{4 x} \log ^2(2)} \, dx\) [2130]
   \(\int \genfrac {}{}{}{}{-e^x x+\log (\genfrac {}{}{}{}{1}{4} (8+e^x)) (8+e^x+(-16-2 e^x) \log (x)) \log (\log (\genfrac {}{}{}{}{1}{4} (8+e^x))) \log (\log (\log (\genfrac {}{}{}{}{1}{4} (8+e^x))))+(16+2 e^x) \log (\genfrac {}{}{}{}{1}{4} (8+e^x)) \log (\log (\genfrac {}{}{}{}{1}{4} (8+e^x))) \log (\log (\log (\genfrac {}{}{}{}{1}{4} (8+e^x)))) \log (\log (\log (\log (\genfrac {}{}{}{}{1}{4} (8+e^x)))))}{(80 x^3+10 e^x x^3) \log (\genfrac {}{}{}{}{1}{4} (8+e^x)) \log (\log (\genfrac {}{}{}{}{1}{4} (8+e^x))) \log (\log (\log (\genfrac {}{}{}{}{1}{4} (8+e^x))))} \, dx\) [2131]
   \(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{-3-4 x^2-x^3+2 x \log (x)-x \log (2 x)}{x}} (3+x-4 x^2-2 x^3)}{x^2} \, dx\) [2132]
   \(\int \genfrac {}{}{}{}{4 e^{-2+i \pi +2 x} (2-2 x)-x}{x^3} \, dx\) [2133]
   \(\int (12 x^3+3 e x^3-4 x^4+(-24 x^3-4 e x^3+5 x^4) \log (x)-4 x^3 \log ^2(x)+16 x^3 \log ^3(x)) \, dx\) [2134]
   \(\int \genfrac {}{}{}{}{2 x-2 x^2+e^{2+x} (-2 x-x^2+x^3+e^x (1-5 x+2 x^2))+(-x+e^{2+x} (x+2 e^x x+x^2)) \log (x)}{4 x} \, dx\) [2135]
   \(\int \genfrac {}{}{}{}{-1-2 x^3-2 x^2 \log (7)-2 e^x x^2 \log (7)}{2 x^2 \log (7)} \, dx\) [2136]
   \(\int \genfrac {}{}{}{}{-25-50 x-25 x^2+(124+100 x+25 x^2) \log (2)+\log ^2(2)}{(125+100 x+25 x^2) \log (2)+\log ^2(2)} \, dx\) [2137]
   \(\int \genfrac {}{}{}{}{1}{9} (9-2^{5-x} \log (2)) \, dx\) [2138]
   \(\int \genfrac {}{}{}{}{-12+300 x^3+(-4+100 x^3) \log (-\log (x)+\log (4+50 x^3))}{(-2 x-25 x^4) \log (x)+(2 x+25 x^4) \log (4+50 x^3)} \, dx\) [2139]
   \(\int \genfrac {}{}{}{}{e^{-x+\genfrac {}{}{}{}{e^{-x} (e^x (5-x)+x^2)}{x}} (-5 e^x+x^2-x^3)}{x^2} \, dx\) [2140]
   \(\int \genfrac {}{}{}{}{-1+e^{64+e^8+16 x+x^2+e^4 (16+2 x)} (-64+120 x-48 x^2-8 x^3+e^4 (-8+16 x-8 x^2))}{4-8 x+4 x^2} \, dx\) [2141]
   \(\int \genfrac {}{}{}{}{-72 x^2+3 x^2 \log (4)}{-24 x^3+(5+x^3) \log (4)} \, dx\) [2142]
   \(\int \genfrac {}{}{}{}{-8-38 x+21 x^2+(-8-19 x+7 x^2) \log (\genfrac {}{}{}{}{1}{2} (8 x+19 x^2-7 x^3))}{-8-19 x+7 x^2} \, dx\) [2143]
   \(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{-21+6 x+3 x^2-x^3}{4-4 x+x^2}} (30-18 x+6 x^2-x^3)}{-8+12 x-6 x^2+x^3} \, dx\) [2144]
   \(\int \genfrac {}{}{}{}{e^{x^2} (1+4 x-2 x^2)+(63-36 x+9 x^2) \log (4)}{(36-36 x+9 x^2) \log (4)} \, dx\) [2145]
   \(\int \genfrac {}{}{}{}{-x^2+e^{-x^5} (1+5 x^5)}{x^2} \, dx\) [2146]
   \(\int \genfrac {}{}{}{}{e^x (25+25 x-25 x^2) \log (x)+50 x^2 \log (\log (x))-25 x \log (x) \log ^2(\log (x))}{-e^x x^2 \log (x)+x^3 \log (x) \log ^2(\log (x))} \, dx\) [2147]
   \(\int \genfrac {}{}{}{}{20 e^{4 x} \log (2)+e^{\genfrac {}{}{}{}{4 (x+(2+x) \log (2))}{\log (2)}} (20+20 \log (2))+e^{3 x+\genfrac {}{}{}{}{x+(2+x) \log (2)}{\log (2)}} (20+80 \log (2))+e^{x+\genfrac {}{}{}{}{3 (x+(2+x) \log (2))}{\log (2)}} (60+80 \log (2))+e^{2 x+\genfrac {}{}{}{}{2 (x+(2+x) \log (2))}{\log (2)}} (60+120 \log (2))}{\log (2)} \, dx\) [2148]
   \(\int \genfrac {}{}{}{}{-e+2 x^2-4 x \log (3)+2 \log ^2(3)}{x^2-2 x \log (3)+\log ^2(3)} \, dx\) [2149]
   \(\int \genfrac {}{}{}{}{e^{-\genfrac {}{}{}{}{2-x-98 x^2-76 x^3-16 x^4}{x^2}} (16-4 x+304 x^3+128 x^4)}{x^3} \, dx\) [2150]
   \(\int \genfrac {}{}{}{}{8+5 x^3-24 x^4-12 x^5+e^x (-8 x^4-4 x^5)}{x^3} \, dx\) [2151]
   \(\int \genfrac {}{}{}{}{5030+2000 x+2096 x^2+e^4 (10240+25600 x+16000 x^2)}{10000+21800 x+7881 x^2-4360 x^3+400 x^4+e^4 (80000+174400 x+63048 x^2-34880 x^3+3200 x^4)} \, dx\) [2152]
   \(\int \genfrac {}{}{}{}{-3 x^2+x^3-5 x^4+3 x^5}{e^4 (-1+3 x-3 x^2+x^3)} \, dx\) [2153]
   \(\int \genfrac {}{}{}{}{-4 x-15 x^3+(4+x+16 x^2) \log (2)+(-5 x+5 \log (2)) \log (5)+(-x^3+x^2 \log (2)) \log (-\genfrac {}{}{}{}{4 x}{-x+\log (2)})}{-x^3+x^2 \log (2)} \, dx\) [2154]
   \(\int (2+e^{2-e^x-x} (1+e^x)) \, dx\) [2155]
   \(\int \genfrac {}{}{}{}{4+8 x+4 x^2}{5 x^2+4 x^3+x^4+e^6 (5+4 x+x^2)+e^3 (10 x+8 x^2+2 x^3)+(-10 x-8 x^2-2 x^3+e^3 (-10-8 x-2 x^2)) \log (50+40 x+10 x^2-(25+20 x+5 x^2) \log (\genfrac {}{}{}{}{25}{3}))+(5+4 x+x^2) \log ^2(50+40 x+10 x^2-(25+20 x+5 x^2) \log (\genfrac {}{}{}{}{25}{3}))} \, dx\) [2156]
   \(\int \genfrac {}{}{}{}{-5+10 x+20 x^2+e^{4 x} (1-2 x) \log (5)+(10 x-2 e^{4 x} x \log (5)) \log (\genfrac {}{}{}{}{e^{4 x} x^2}{-5+e^{4 x} \log (5)})}{-5+e^{4 x} \log (5)} \, dx\) [2157]
   \(\int \genfrac {}{}{}{}{e^{2 x} (-1-x)+e^x (-2 x-3 x^2)+(e^{2 x} (-1+x)+e^x (-x+x^3)) \log (3 e^x x+3 x^2+3 x^3)}{(e^x x^2+x^3+x^4) \log ^2(3 e^x x+3 x^2+3 x^3)} \, dx\) [2158]
   \(\int \genfrac {}{}{}{}{2 e^{-4+x+\genfrac {}{}{}{}{2 (2+5 x^2)}{x}} x^2 \log (1+e^{-4+x})+e^{\genfrac {}{}{}{}{2 (2+5 x^2)}{x}} (-4+10 x^2+e^{-4+x} (-4+10 x^2)) \log ^2(1+e^{-4+x})}{e^{\genfrac {}{}{}{}{2 (2+5 x^2)}{x}} (x^2+e^{-4+x} x^2) \log ^2(1+e^{-4+x})+(-2 x^2-2 e^{-4+x} x^2) \log (\log (4))} \, dx\) [2159]
   \(\int \genfrac {}{}{}{}{9+e^4+2 x+\log (3)}{-27 x-3 e^4 x-3 x^2+(-27-3 e^4-3 x) \log (3)+(9 x+e^4 x+x^2+(9+e^4+x) \log (3)) \log (9+e^4+x)+(-9 x-e^4 x-x^2+(-9-e^4-x) \log (3)) \log (\genfrac {}{}{}{}{5}{x+\log (3)})} \, dx\) [2160]
   \(\int \genfrac {}{}{}{}{e^x (-3 x^2-5 x^3-2 x^4+e^{10/x} (20-2 x^2)+e^{5/x} (-20 x+4 x^2+4 x^3))}{x^2} \, dx\) [2161]
   \(\int \genfrac {}{}{}{}{3-3 x+e^{\genfrac {}{}{}{}{2}{3} (-10+2 x-x^2+3 \log (\genfrac {}{}{}{}{1}{5} (x-x^2)))} (3-5 x-8 x^2+4 x^3)}{-3 x^2+3 x^3} \, dx\) [2162]
   \(\int \genfrac {}{}{}{}{e^{-20+5 x \log (-1-e+e^{e^x+x})} (e^{e^x+x} (5 x+5 e^x x)+(-5-5 e+5 e^{e^x+x}) \log (-1-e+e^{e^x+x}))}{-1-e+e^{e^x+x}} \, dx\) [2163]
   \(\int \genfrac {}{}{}{}{(320+1264 x+1740 x^2+925 x^3+125 x^4) \log (\genfrac {}{}{}{}{5+x}{5})+(250 x+50 x^2+(250 x+50 x^2) \log (2)) \log ^2(\genfrac {}{}{}{}{5+x}{5})+\log (x) (-64 x-240 x^2-300 x^3-125 x^4+(-250 x-50 x^2) \log (\genfrac {}{}{}{}{5+x}{5}))}{(320 x+1264 x^2+1740 x^3+925 x^4+125 x^5) \log (x) \log (\genfrac {}{}{}{}{5+x}{5})+(-320 x-1264 x^2-1740 x^3-925 x^4-125 x^5+(-320 x-1264 x^2-1740 x^3-925 x^4-125 x^5) \log (2)) \log ^2(\genfrac {}{}{}{}{5+x}{5})} \, dx\) [2164]
   \(\int \genfrac {}{}{}{}{18-12 x+2 x^2+x^2 (i \pi +\log (\genfrac {}{}{}{}{25}{4}))+(-9+6 x-x^2) \log (x^2)}{(3 x^2-x^3) (i \pi +\log (\genfrac {}{}{}{}{25}{4}))+(9 x-6 x^2+x^3) \log (x^2)} \, dx\) [2165]
   \(\int \genfrac {}{}{}{}{e^{2-e^{2 x+2 x^2+4 x \log (\genfrac {}{}{}{}{3}{2} x \log (x))+2 \log ^2(\genfrac {}{}{}{}{3}{2} x \log (x))}-x} (-x \log (x)+e^{2 x+2 x^2+4 x \log (\genfrac {}{}{}{}{3}{2} x \log (x))+2 \log ^2(\genfrac {}{}{}{}{3}{2} x \log (x))} (-4 x+(-6 x-4 x^2) \log (x)+(-4+(-4-4 x) \log (x)) \log (\genfrac {}{}{}{}{3}{2} x \log (x))))}{x \log (x)} \, dx\) [2166]
   \(\int \genfrac {}{}{}{}{9-6 x^2+x^4+e^{-\genfrac {}{}{}{}{3 x}{-3+x^2}} (9 x+3 x^3)}{e^{-\genfrac {}{}{}{}{3 x}{-3+x^2}} (9 x-6 x^3+x^5)+(9 x-6 x^3+x^5) \log (x)} \, dx\) [2167]
   \(\int \genfrac {}{}{}{}{e^{3-e^2+x-e^{x+\log ^2(3)} x+\log ^2(3)} (7+7 x)}{10 e^{6-2 e^2-2 e^{x+\log ^2(3)} x}+20 e^{3-e^2-e^{x+\log ^2(3)} x} \log (3)+10 \log ^2(3)} \, dx\) [2168]
   \(\int \genfrac {}{}{}{}{228-354 x+73 x^2+266 x^3-378 x^4+172 x^5+26 x^6-8 x^7-x^8}{-224+388 x-87 x^2-70 x^3+42 x^4-84 x^5+22 x^6+12 x^7+x^8} \, dx\) [2169]
   \(\int \genfrac {}{}{}{}{-16 e^{x^2} \log (2)+e^{x^2} (-32 x+32 x^2) \log (2) \log (-1+x)}{(-9+9 x) \log ^2(-1+x)} \, dx\) [2170]
   \(\int \genfrac {}{}{}{}{5-4 e^{4-x}+8 x}{-3+e^5+4 e^{4-x}+5 x+4 x^2} \, dx\) [2171]
   \(\int \genfrac {}{}{}{}{448}{69} e^{\genfrac {}{}{}{}{1}{3} (-3 e^4+14 x)} \, dx\) [2172]
   \(\int (1-2 e^{2 e^2+2 x}+2 x) \, dx\) [2173]
   \(\int \genfrac {}{}{}{}{-5-6 x^2-2 x^3-x^4+(5-5 x-x^2-x^3) \log (\genfrac {}{}{}{}{x+x \log (\log (5))}{\log (\log (5))})}{25 x^2+5 x^4+(25 x+5 x^3) \log (\genfrac {}{}{}{}{x+x \log (\log (5))}{\log (\log (5))})} \, dx\) [2174]
   \(\int \genfrac {}{}{}{}{-5 x-e^x x \log (2)-4 x^2 \log (2)+8 \log (2) \log ^3(x)}{x \log (2)} \, dx\) [2175]
   \(\int \genfrac {}{}{}{}{e^{12} (-e^5+e^{10} (-1-x^2))}{1+e^5 (2+2 x-2 x^2)+e^{10} (1+2 x-x^2-2 x^3+x^4)} \, dx\) [2176]
   \(\int \genfrac {}{}{}{}{e (2-x)+48 x-32 x^2+(16-16 x) \log (4)+(-16+16 x) \log (-3+3 x)+e^{e^x} (-32+16 x+e^x (-16 x+16 x^2+(-16+16 x) \log (4))+e^x (16-16 x) \log (-3+3 x))}{-16+16 x} \, dx\) [2177]
   \(\int \genfrac {}{}{}{}{12058624 x^{22}}{e^6} \, dx\) [2178]
   \(\int \genfrac {}{}{}{}{-x^2+3 x^2 \log (x)+(-1-9 x-3 x^2-2 x \log (\genfrac {}{}{}{}{1}{x})) \log ^2(x)}{\log ^2(x)} \, dx\) [2179]
   \(\int (4+3 e+24 x+12 x^2+e^4 (12+8 x)) \, dx\) [2180]
   \(\int \genfrac {}{}{}{}{-28 x+4 x^4+6 x^4 \log (7-x^3)+(-14 x+14 x^3+2 x^4-2 x^6) \log ^2(7-x^3)}{14-2 x^3+(-7 x^2+x^5) \log ^2(7-x^3)} \, dx\) [2181]
   \(\int \genfrac {}{}{}{}{5 x \log (x)+\log ^{e^{\genfrac {}{}{}{}{1}{5} (-14-16 x+4 x^2+4 x^3-x^4)}}(x) (5 e^{\genfrac {}{}{}{}{1}{5} (-14-16 x+4 x^2+4 x^3-x^4)}+e^{\genfrac {}{}{}{}{1}{5} (-14-16 x+4 x^2+4 x^3-x^4)} (-16 x+8 x^2+12 x^3-4 x^4) \log (x) \log (\log (x)))}{5 x \log (x)} \, dx\) [2182]
   \(\int \genfrac {}{}{}{}{-7+20 x+e^x (16+4 x)+4 \log (x)}{-2 x+4 e^x x+4 x^2+x \log (x)} \, dx\) [2183]
   \(\int \genfrac {}{}{}{}{480-240 x+(-480+480 x) \log (x)+576 \log ^2(x)}{100 x^2-100 x^3+25 x^4+(480 x-480 x^2+120 x^3) \log (x)+(576-576 x+144 x^2) \log ^2(x)} \, dx\) [2184]
   \(\int \genfrac {}{}{}{}{x+7 x^2-4 x^4-7 x^5+(-8 x+8 x^4) \log (x-x^4)+(-2 x^2+2 x^5+(2 x-2 x^4) \log (x-x^4)) \log (-x+\log (x-x^4))}{x-x^4+(-1+x^3) \log (x-x^4)} \, dx\) [2185]
   \(\int \genfrac {}{}{}{}{200-40 e^{32}+2 e^{64}-2 x^4}{x^3} \, dx\) [2186]
   \(\int \genfrac {}{}{}{}{e^{6-2 x} (-80-160 x)}{x^2} \, dx\) [2187]
   \(\int \genfrac {}{}{}{}{-x-3 x^4-4 x^2 \log (\genfrac {}{}{}{}{x}{2})-2 x^2 \log ^2(\genfrac {}{}{}{}{x}{2})-4 \log ^3(\genfrac {}{}{}{}{x}{2})+\log ^4(\genfrac {}{}{}{}{x}{2})}{x^2} \, dx\) [2188]
   \(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{e^{3/x} x^2+e^{3/x} \log (\log (e^{e^x} x))}{8+e^{3/x} x^2}} (8 e^{3/x} x+e^{6/x} x^3+e^x (8 e^{3/x} x^2+e^{6/x} x^4)+e^{3/x} (-24 x^2+16 x^3) \log (e^{e^x} x)+(-24 e^{3/x}-2 e^{6/x} x^3) \log (e^{e^x} x) \log (\log (e^{e^x} x)))}{(64 x^2+16 e^{3/x} x^4+e^{6/x} x^6) \log (e^{e^x} x)} \, dx\) [2189]
   \(\int \genfrac {}{}{}{}{-1+2 \log (4)}{2 x^2 \log (4)} \, dx\) [2190]
   \(\int \genfrac {}{}{}{}{-59 x+e^{\genfrac {}{}{}{}{4 x^2+4 x \log (5)+\log ^2(5)}{x}} (3 x+12 x^2-3 \log ^2(5))}{x} \, dx\) [2191]
   \(\int \genfrac {}{}{}{}{e^{4 x-5 x^2-x^3+x \log (5)-x \log (3-x)} (-12+33 x-x^2-3 x^3+(-3+x) \log (5)+(3-x) \log (3-x))}{-3+x} \, dx\) [2192]
   \(\int \genfrac {}{}{}{}{-4 x^2-x^3-2 x^4+e^{-x-x^2 \log (x)+x^2 \log (\genfrac {}{}{}{}{4+x+2 x^2}{x^2})} (-4-9 x-16 x^2-6 x^3-2 x^4+(-8 x^2-2 x^3-4 x^4) \log (x)+(8 x^2+2 x^3+4 x^4) \log (\genfrac {}{}{}{}{4+x+2 x^2}{x^2}))}{4 x^2+x^3+2 x^4+e^{-x-x^2 \log (x)+x^2 \log (\genfrac {}{}{}{}{4+x+2 x^2}{x^2})} (4 x+x^2+2 x^3)} \, dx\) [2193]
   \(\int \genfrac {}{}{}{}{(-4+4 x^2-x^4+\log ^2(\genfrac {}{}{}{}{x^3}{3})+(4-2 x^2) \log (\log (x))-\log ^2(\log (x)))^x (-4+2 x^2+(-8 x^2+4 x^4) \log (x)-6 \log (x) \log (\genfrac {}{}{}{}{x^3}{3})+(2+4 x^2 \log (x)) \log (\log (x))+((4-4 x^2+x^4) \log (x)-\log (x) \log ^2(\genfrac {}{}{}{}{x^3}{3})+(-4+2 x^2) \log (x) \log (\log (x))+\log (x) \log ^2(\log (x))) \log (-4+4 x^2-x^4+\log ^2(\genfrac {}{}{}{}{x^3}{3})+(4-2 x^2) \log (\log (x))-\log ^2(\log (x))))}{(4-4 x^2+x^4) \log (x)-\log (x) \log ^2(\genfrac {}{}{}{}{x^3}{3})+(-4+2 x^2) \log (x) \log (\log (x))+\log (x) \log ^2(\log (x))} \, dx\) [2194]
   \(\int \genfrac {}{}{}{}{1}{4} (45-86 x+6 x^2) \log (3) \, dx\) [2195]
   \(\int \genfrac {}{}{}{}{e^{2 x} (-200 x^7+50 e^4 x^7-25 x^8)+e^x (-120 x^2-80 x^3-10 x^4+e^4 (30 x^2+10 x^3))}{4-20 e^x x^5+25 e^{2 x} x^{10}} \, dx\) [2196]
   \(\int \genfrac {}{}{}{}{e^{-\genfrac {}{}{}{}{e^{2 x+x^2}}{5+e^{x^2} (-1-\log (3))+e^{x^2} \log (x)}} (e^{2 x+x^2} (-40 x-40 x^2)+e^{2 x+2 x^2} (4+8 x+8 x \log (3))-8 e^{2 x+2 x^2} x \log (x))}{25 x+e^{x^2} (-10 x-10 x \log (3))+e^{2 x^2} (x+2 x \log (3)+x \log ^2(3))+(10 e^{x^2} x+e^{2 x^2} (-2 x-2 x \log (3))) \log (x)+e^{2 x^2} x \log ^2(x)} \, dx\) [2197]
   \(\int \genfrac {}{}{}{}{e^x (9 e^3 x-9 x^2)+(e^x (-18 e^3+27 x)+(18 e^3-27 x) \log (\log (4))) \log (e^x-\log (\log (4)))}{e^x (-e^6 x^3+2 e^3 x^4-x^5)+(e^6 x^3-2 e^3 x^4+x^5) \log (\log (4))} \, dx\) [2198]
   \(\int \genfrac {}{}{}{}{1}{6} e^{-4 x^2} (2 x-8 x^3+e^{x+4 x^2} (2 x+x^2)) \, dx\) [2199]
   \(\int e^{3 x} (3 e^4+2 x+9 x^2+10 x^3+3 x^4+e^3 (4+12 x)+e^2 (2+18 x+18 x^2)+e (8 x+24 x^2+12 x^3)) \, dx\) [2200]