3.1 Integrals 1 to 100
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{2 x}{\log (x)}} (-2 x^2+2 x^2 \log (x)+2 x \log ^2(x)+e^{-30+2 x-2 x \log (2 x)} (-2+2 \log (x)-2 \log ^2(x) \log (2 x))+e^{-15+x-x \log (2 x)} (4 x-4 x \log (x)-2 \log ^2(x)+2 x \log ^2(x) \log (2 x)))}{5 \log ^2(x)} \, dx\) [1]
\(\int \genfrac {}{}{}{}{16+e^{8 x} (-1+8 x)}{-16 x+e^{8 x} x} \, dx\) [2]
\(\int \genfrac {}{}{}{}{-75-75 x-x^2+x^3+2 x^4+((75-x^2+x^3) \log (2)+(-75+x^2-x^3) \log (\genfrac {}{}{}{}{75-x^2+x^3}{x})) \log (\genfrac {}{}{}{}{-\log (2)+\log (\genfrac {}{}{}{}{75-x^2+x^3}{x})}{\log (2)})}{(-75 x^2+x^4-x^5) \log (2)+(75 x^2-x^4+x^5) \log (\genfrac {}{}{}{}{75-x^2+x^3}{x})} \, dx\) [3]
\(\int (1+4 x^3+5 x^4) \, dx\) [4]
\(\int \genfrac {}{}{}{}{1}{32} (8192 e^{4 x}+x-192 x^2+8192 x^3+e^{3 x} (8192+24576 x)+e^{2 x} (-64+24448 x+24576 x^2)+e^x (-256 x+24448 x^2+8192 x^3)) \, dx\) [5]
\(\int \genfrac {}{}{}{}{4}{3 x} \, dx\) [6]
\(\int \genfrac {}{}{}{}{-168 x^2+48 x^3+e^{3/x} (-45 x-20 x^2+10 x^3)+(72 x-24 x^2+e^{3/x} (45-5 x^2)) \log (3-x)}{72 x^3-24 x^4+e^{3/x} (15 x^3-5 x^4)+(-72 x^2+24 x^3+e^{3/x} (-15 x^2+5 x^3)) \log (3-x)} \, dx\) [7]
\(\int \genfrac {}{}{}{}{-5+5 x-4 x^2+20 x^3+9 x^4}{5 x-6 x^2+2 x^3+9 x^4} \, dx\) [8]
\(\int \genfrac {}{}{}{}{2 x+(25+x) \log (5)+(50+2 x) \log (16)+(-25-x) \log (625+50 x+x^2)}{25 x^2+x^3+(50 x+2 x^2) \log (5)+(25+x) \log ^2(5)+(100 x+4 x^2+(100+4 x) \log (5)) \log (16)+(100+4 x) \log ^2(16)+(-50 x-2 x^2+(-50-2 x) \log (5)+(-100-4 x) \log (16)) \log (625+50 x+x^2)+(25+x) \log ^2(625+50 x+x^2)} \, dx\) [9]
\(\int \genfrac {}{}{}{}{4-x+(4-x) \log (5)+\log ^2(5)}{-4+x} \, dx\) [10]
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{3+e^{10} (-x^2-x^3)}{-e^{10} x^2+e^{10} x^2 \log (\genfrac {}{}{}{}{x}{5 \log (x)})}} (3+e^{10} (-x^2-x^3)+(3+e^{10} (x^2+2 x^3)) \log (x)+(-6-e^{10} x^3) \log (x) \log (\genfrac {}{}{}{}{x}{5 \log (x)}))}{e^{10} x^3 \log (x)-2 e^{10} x^3 \log (x) \log (\genfrac {}{}{}{}{x}{5 \log (x)})+e^{10} x^3 \log (x) \log ^2(\genfrac {}{}{}{}{x}{5 \log (x)})} \, dx\) [11]
\(\int \genfrac {}{}{}{}{9-6 x+x^2+18 x^3+16 x^4+3 x^5}{9 x-6 x^2-3 x^3+6 x^4+5 x^5+x^6+(9 x+6 x^2+x^3) \log (5 x)} \, dx\) [12]
\(\int \genfrac {}{}{}{}{e^{-x} (e^8 (-10-20 x-5 x^2)+e^{5+2 x} (-20-20 x+10 x^2)+e^{2+4 x} (-10+15 x^2))}{x^3+2 x^4+x^5} \, dx\) [13]
\(\int \genfrac {}{}{}{}{(-x+e^{4+4 x+x^2} (-4 x-2 x^2)) \log (2 x)+(-e^{4+4 x+x^2}-x) \log (e^{4+4 x+x^2}+x)}{-5 e^{4+4 x+x^2} x-5 x^2+(e^{4+4 x+x^2} x+x^2) \log (2 x) \log (e^{4+4 x+x^2}+x)} \, dx\) [14]
\(\int \genfrac {}{}{}{}{-54-132 x+162 x^2-142 x^3+114 x^4-54 x^5+16 x^6-2 x^7+e^x (27-54 x+27 x^2+27 x^3-45 x^4+27 x^5-8 x^6+x^7)}{27-81 x+108 x^2-81 x^3+36 x^4-9 x^5+x^6} \, dx\) [15]
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{1}{72} (-4-4 x+7 x^2-2 x^3+(4-4 x+x^2) \log (x))} (4-8 x+15 x^2-6 x^3+(-4 x+2 x^2) \log (x))}{72 x} \, dx\) [16]
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{1}{25} (-4775-560 x-16 x^2)} (-1680-96 x+e^5 (1145+624 x+32 x^2))}{225+e^5 (-300-150 x)+e^{10} (100+100 x+25 x^2)} \, dx\) [17]
\(\int e^{x^2+(-6 e^2 x+24 e x^2-24 x^3) \log (5)+(9 e^4-72 e^3 x+216 e^2 x^2-288 e x^3+144 x^4) \log ^2(5)} (2 x+(-6 e^2+48 e x-72 x^2) \log (5)+(-72 e^3+432 e^2 x-864 e x^2+576 x^3) \log ^2(5)) \, dx\) [18]
\(\int \genfrac {}{}{}{}{-7-14 x+(7+7 x) \log (-1-x)+(7+7 x) \log (x)}{e^2 (x^2+x^3)} \, dx\) [19]
\(\int e^{-x} x^{4+e^{e^{e^{16 e^{-x}}}}} (5 e^x+e^{e^{e^{16 e^{-x}}}} (e^x-16 e^{e^{16 e^{-x}}+16 e^{-x}} x \log (x))) \, dx\) [20]
\(\int 2 e^{e^e+2 x} \, dx\) [21]
\(\int \genfrac {}{}{}{}{-6+27 x-28 x^2+8 x^3+4 x^2 \log (\genfrac {}{}{}{}{1}{4} (-2+x))+(-24 x+44 x^2-16 x^3) \log ^2(\genfrac {}{}{}{}{1}{4} (-2+x))+(-16 x^2+8 x^3) \log ^4(\genfrac {}{}{}{}{1}{4} (-2+x))+(12-46 x+52 x^2-16 x^3+(40 x-84 x^2+32 x^3) \log ^2(\genfrac {}{}{}{}{1}{4} (-2+x))+(32 x^2-16 x^3) \log ^4(\genfrac {}{}{}{}{1}{4} (-2+x))) \log (\genfrac {}{}{}{}{-2 x+4 x^2-4 x^2 \log ^2(\genfrac {}{}{}{}{1}{4} (-2+x))}{3-4 x+4 x \log ^2(\genfrac {}{}{}{}{1}{4} (-2+x))})}{-6 x^3+23 x^4-26 x^5+8 x^6+(-20 x^4+42 x^5-16 x^6) \log ^2(\genfrac {}{}{}{}{1}{4} (-2+x))+(-16 x^5+8 x^6) \log ^4(\genfrac {}{}{}{}{1}{4} (-2+x))} \, dx\) [22]
\(\int \genfrac {}{}{}{}{-1-x}{-2+x} \, dx\) [23]
\(\int \genfrac {}{}{}{}{(-2 x \log ^2(3)+e^{2+x-x^4} (-2+4 x-16 x^4) \log ^2(3)) \log (\genfrac {}{}{}{}{e^{4+2 x-2 x^4}-2 e^{2+x-x^4} x+x^2}{x})}{e^{2+x-x^4} x-x^2} \, dx\) [24]
\(\int \genfrac {}{}{}{}{x+(2-2 x-4 x^2) \log (\genfrac {}{}{}{}{4}{5} e^{-x-x^2} x \log (4))}{x} \, dx\) [25]
\(\int \genfrac {}{}{}{}{1+4 e^x+e^{225-90 e^x+9 e^{2 x}} (2 e^x-90 e^{2 x}+18 e^{3 x})+x}{2 e^x+e^{225-90 e^x+9 e^{2 x}+x}+x} \, dx\) [26]
\(\int \genfrac {}{}{}{}{-4+9 x-2 x^2+(-x^2+2 x^3) \log (2)+(-12+x-x^2+(24 x-2 x^2+2 x^3) \log (2)) \log (-12+x-x^2)}{12-x+x^2} \, dx\) [27]
\(\int \genfrac {}{}{}{}{-21+12 x}{20 x} \, dx\) [28]
\(\int \genfrac {}{}{}{}{-2 x^2+(e^3 x+2 x^2) (i \pi +\log (4+3 e))+(-2 x^2+(2 e^3 x+2 x^2) (i \pi +\log (4+3 e))) \log (\genfrac {}{}{}{}{x^2+(-e^3 x-x^2) (i \pi +\log (4+3 e))}{i \pi +\log (4+3 e)})}{-x+(e^3+x) (i \pi +\log (4+3 e))} \, dx\) [29]
\(\int \genfrac {}{}{}{}{36-42 x+16 x^2-16 x^3+6 x^4-x^5+e^x (-9 x^3+6 x^4-x^5)+(-36+33 x-10 x^2+x^3) \log (x^2)}{9 x^3-6 x^4+x^5} \, dx\) [30]
\(\int \genfrac {}{}{}{}{e^{\log ^2(\genfrac {}{}{}{}{-25+e^{2+2 x}+e^{2+x} (-40-8 x)-10 x-x^2+e^2 (525+185 x+11 x^2-x^3)}{e^2 (25+10 x+x^2)})} (e^{2+2 x} (16+4 x)+e^{2+x} (-320-144 x-16 x^2)+e^2 (-250-150 x-30 x^2-2 x^3)) \log (\genfrac {}{}{}{}{-25+e^{2+2 x}+e^{2+x} (-40-8 x)-10 x-x^2+e^2 (525+185 x+11 x^2-x^3)}{e^2 (25+10 x+x^2)})}{-125-75 x-15 x^2-x^3+e^{2+2 x} (5+x)+e^{2+x} (-200-80 x-8 x^2)+e^2 (2625+1450 x+240 x^2+6 x^3-x^4)} \, dx\) [31]
\(\int \genfrac {}{}{}{}{1-e^x+2 x \log (3)+2 x \log (4 e^6)}{\log (3)+\log (4 e^6)} \, dx\) [32]
\(\int \genfrac {}{}{}{}{e^{2 e^{2 x}-4 e^x \log (-e^{e^x}+\log (4))+2 \log ^2(-e^{e^x}+\log (4))} (-100 e^{2 x} \log (4)+100 e^x \log (4) \log (-e^{e^x}+\log (4)))}{e^{e^x}-\log (4)} \, dx\) [33]
\(\int \genfrac {}{}{}{}{-18 x-2 x^3+16 x^4-6 x^3 \log (5)+(18 x-6 x^2+48 x^3-18 x^2 \log (5)) \log (x)+(-6 x+48 x^2-18 x \log (5)) \log ^2(x)+(-2+16 x-6 \log (5)) \log ^3(x)}{9 x^3+27 x^2 \log (x)+27 x \log ^2(x)+9 \log ^3(x)} \, dx\) [34]
\(\int \genfrac {}{}{}{}{-e^{-8+4 x}-x-4 e^{-8+4 x} x \log (x)}{x^2+e^{-8+4 x} x \log (x)} \, dx\) [35]
\(\int \genfrac {}{}{}{}{3-2 x-\log (13)}{(-3 x+x^2+x \log (13)) \log ^2(\genfrac {}{}{}{}{1}{3} (3 x-x^2-x \log (13)))} \, dx\) [36]
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{x^4 \log ^2(-e+x-\log (2 x^2))}{\log ^2(2)}} ((4 x^3-2 x^4) \log (-e+x-\log (2 x^2))+(4 e x^3-4 x^4+4 x^3 \log (2 x^2)) \log ^2(-e+x-\log (2 x^2)))}{(e-x) \log ^2(2)+\log ^2(2) \log (2 x^2)} \, dx\) [37]
\(\int \genfrac {}{}{}{}{33 x+20 x^3+3 x^5+(-726+33 x-352 x^2+16 x^3-66 x^4+3 x^5) \log (22-x)}{(-726 x+33 x^2-440 x^3+20 x^4-66 x^5+3 x^6) \log (22-x)} \, dx\) [38]
\(\int \genfrac {}{}{}{}{2 x^2 \log ^2(4)+e^x (-6 x^4+(6 x^3-18 x^4-6 x^5) \log (4))+(-4 x^2 \log (4)+4 x \log ^2(4)+e^x (18 x^4+6 x^5+(-24 x^3-6 x^4) \log (4))) \log (x)+(2 x^2-4 x \log (4)+2 \log ^2(4)) \log ^2(x)}{3 x^2 \log ^2(4)+(-6 x^2 \log (4)+6 x \log ^2(4)) \log (x)+(3 x^2-6 x \log (4)+3 \log ^2(4)) \log ^2(x)} \, dx\) [39]
\(\int \genfrac {}{}{}{}{-45+54 x+7 x^2+x^3+(-18+18 x+6 x^2) \log (3)+(-9+9 x) \log ^2(3)+(-9+9 x) \log (x)}{54 x+6 x^2+x^3+(18 x+6 x^2) \log (3)+9 x \log ^2(3)+9 x \log (x)} \, dx\) [40]
\(\int \genfrac {}{}{}{}{96 x^5+160 x^6+52 x^7+52 e^{12} x^7+e^9 (160 x^6+208 x^7)+e^3 (192 x^5+480 x^6+208 x^7)+e^6 (96 x^5+480 x^6+312 x^7)}{256+1024 x+1440 x^2+832 x^3+169 x^4+169 e^{12} x^4+e^9 (832 x^3+676 x^4)+e^3 (1024 x+2880 x^2+2496 x^3+676 x^4)+e^6 (1440 x^2+2496 x^3+1014 x^4)} \, dx\) [41]
\(\int \genfrac {}{}{}{}{1800 x+800 e^{2 x} x-135 x^2+3 x^3+e^x (-2400 x+90 x^2+50 x^3)}{1800+800 e^{2 x}-360 x+18 x^2+e^x (-2400+240 x)} \, dx\) [42]
\(\int \genfrac {}{}{}{}{-75-20 x+10 x^2+e^{e^2+x} (-5+10 x-5 x^2)}{225 x^2+60 x^3+4 x^4+e^{2 e^2+2 x} (1-2 x+x^2)+e^{e^2+x} (30 x-26 x^2-4 x^3)} \, dx\) [43]
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{-5-3 x+3 (65536-512 x+x^2)^{2 \log ^2(x^2)}}{-x+(65536-512 x+x^2)^{2 \log ^2(x^2)}}} (1280 x-5 x^2+(65536-512 x+x^2)^{2 \log ^2(x^2)} (20 x \log ^2(x^2)+(-10240+40 x) \log (x^2) \log (65536-512 x+x^2)))}{-256 x^3+x^4+(65536-512 x+x^2)^{4 \log ^2(x^2)} (-256 x+x^2)+(65536-512 x+x^2)^{2 \log ^2(x^2)} (512 x^2-2 x^3)} \, dx\) [44]
\(\int \genfrac {}{}{}{}{6 x^2-x^3-48 \log (3)}{x^4} \, dx\) [45]
\(\int \genfrac {}{}{}{}{e^{3+x} (27-27 x)-18 e^{x^2} x^3-27 \log (\log (3))}{9 e^{6+2 x}+6 e^{3+x+x^2} x+e^{2 x^2} x^2+(-18 e^{3+x}-6 e^{x^2} x) \log (\log (3))+9 \log ^2(\log (3))} \, dx\) [46]
\(\int \genfrac {}{}{}{}{-2-x+\log (48)+(-3-x+\log (48)) \log (-\genfrac {}{}{}{}{5}{-3-x+\log (48)})}{-3 x-x^2+x \log (48)+(-3 x-x^2+x \log (48)) \log (-\genfrac {}{}{}{}{5}{-3-x+\log (48)})+(-3-x+\log (48)+(-3-x+\log (48)) \log (-\genfrac {}{}{}{}{5}{-3-x+\log (48)})) \log (1+\log (-\genfrac {}{}{}{}{5}{-3-x+\log (48)}))} \, dx\) [47]
\(\int \genfrac {}{}{}{}{1}{5} (5+e^3+e^{4-2 x+x^2} (2-2 x)-10 x) \, dx\) [48]
\(\int \genfrac {}{}{}{}{100 x^4+e^{x^2} (200 x+60 x^2-200 x^3-40 x^4)}{e^{2 x^2}+10 e^{x^2} x^2+25 x^4} \, dx\) [49]
\(\int \genfrac {}{}{}{}{-x-128 \log (x)-1908 \log ^2(x)-6240 \log ^3(x)+500 \log ^4(x)}{-x^2-64 x \log ^2(x)-636 x \log ^3(x)-1560 x \log ^4(x)+100 x \log ^5(x)} \, dx\) [50]
\(\int \genfrac {}{}{}{}{e^{e^x} (-1+e^x (-17+e^2-x))}{\log (3)} \, dx\) [51]
\(\int e^{4 e^{1+\log ^2(5)} x} (-4 x^3-4 e^{1+\log ^2(5)} x^4) \, dx\) [52]
\(\int \genfrac {}{}{}{}{5+20 x+x^2+8 e^2 x^2+12 x^3+2 x^2 \log (x)}{4 x} \, dx\) [53]
\(\int (5+2 x) \, dx\) [54]
\(\int \genfrac {}{}{}{}{224 x+64 x^2-10 x^3-3 x^4+e^x (-64 x^3-48 x^4-12 x^5-x^6+e^{\genfrac {}{}{}{}{-10 x-3 x^2}{4+x}} (-32 x+8 x^2+14 x^3+2 x^4))}{16+8 x+x^2} \, dx\) [55]
\(\int \genfrac {}{}{}{}{130 x^3+e^{2 x} (78 x+52 x^2)+e^x (208 x^2+52 x^3)+26 \log (2)}{12 e^{4 x} x^5+48 e^{3 x} x^6+12 x^9+12 x^6 \log (2)+3 x^3 \log ^2(2)+e^{2 x} (72 x^7+12 x^4 \log (2))+e^x (48 x^8+24 x^5 \log (2))} \, dx\) [56]
\(\int \genfrac {}{}{}{}{e^x (21-3 x-3 \log ^2(5))}{-125+75 x-15 x^2+x^3+(75-30 x+3 x^2) \log ^2(5)+(-15+3 x) \log ^4(5)+\log ^6(5)} \, dx\) [57]
\(\int \genfrac {}{}{}{}{e^x (-4-4 x)-4 e^x x \log (x)}{x} \, dx\) [58]
\(\int \genfrac {}{}{}{}{1}{8} e^{16+\genfrac {}{}{}{}{1}{8} e^{-e^{16+7 x+x^2}}-e^{16+7 x+x^2}+7 x+x^2} (-7-2 x) \, dx\) [59]
\(\int 8 e^{e^{\genfrac {}{}{}{}{8}{5} x^5 (i \pi +\log (4))}+\genfrac {}{}{}{}{8}{5} x^5 (i \pi +\log (4))} x^4 (i \pi +\log (4)) \, dx\) [60]
\(\int \genfrac {}{}{}{}{e^{-x/9} (4 e^{x/9} x^2+e^{\genfrac {}{}{}{}{e^{-x/9} (e^{x/9} (-81-x)+45 x)}{x}} (324 e^{x/9}-20 x^2))}{x^2} \, dx\) [61]
\(\int \genfrac {}{}{}{}{-x+e^x x+(e^x-x-\log (3)) \log (e^x-x-\log (3)) \log (\log (e^x-x-\log (3)))}{(e^x-x-\log (3)) \log (e^x-x-\log (3))} \, dx\) [62]
\(\int \genfrac {}{}{}{}{14049280-5 e^x-48168960 x+55050240 x^2-20971520 x^3}{377801998336+e^{2 x}-3454189699072 x+13816758796288 x^2-31581162962944 x^3+45115947089920 x^4-41248865910784 x^5+23570780520448 x^6-7696581394432 x^7+1099511627776 x^8+e^x (1229312-5619712 x+9633792 x^2-7340032 x^3+2097152 x^4)} \, dx\) [63]
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{-x+(-16-4 x) (i \pi -\log (\genfrac {}{}{}{}{5}{2}))+(4+x) \log (x)}{-4 (i \pi -\log (\genfrac {}{}{}{}{5}{2}))+\log (x)}} (-1-4 (i \pi -\log (\genfrac {}{}{}{}{5}{2}))-16 (i \pi -\log (\genfrac {}{}{}{}{5}{2}))^2+(1+8 (i \pi -\log (\genfrac {}{}{}{}{5}{2}))) \log (x)-\log ^2(x))}{16 (i \pi -\log (\genfrac {}{}{}{}{5}{2}))^2-8 (i \pi -\log (\genfrac {}{}{}{}{5}{2})) \log (x)+\log ^2(x)} \, dx\) [64]
\(\int \genfrac {}{}{}{}{-1-4 x^2+e^{2+x+(-16-8 x-x^2) \log (7)} (-2 x^2+(16 x^2+4 x^3) \log (7))}{2 x^2} \, dx\) [65]
\(\int \genfrac {}{}{}{}{-e^{2 x} x^4+2 \log (x)+(-4-2 x) \log ^2(x)+(-6 e^{2 x} x^4+e^{2 x} x^4 \log (x)-\log ^2(x)) \log (\genfrac {}{}{}{}{e^{-2 x} (6 e^{2 x} x^4-e^{2 x} x^4 \log (x)+\log ^2(x))}{x^4})}{6 e^{2 x} x^6-e^{2 x} x^6 \log (x)+x^2 \log ^2(x)} \, dx\) [66]
\(\int \genfrac {}{}{}{}{e^{-\genfrac {}{}{}{}{x^2}{-1+x}} (2+16 x-4 x^2-2 x^3+e^4 (4 x-2 x^2))}{1-2 x+x^2} \, dx\) [67]
\(\int \genfrac {}{}{}{}{-e^{\genfrac {}{}{}{}{1+e^{21}+2 x}{x}} x+e^{\genfrac {}{}{}{}{1+e^{21}+2 x}{x}} (-1-e^{21}-x) \log (x)}{x^3 \log ^2(x)} \, dx\) [68]
\(\int \genfrac {}{}{}{}{1+2 e^{x^2} x}{e^{x^2}+x} \, dx\) [69]
\(\int \genfrac {}{}{}{}{1}{2} e^{-2+e^{x^2}-2 x} (-17 e^{2+x}+e^{-e^{x^2}+x} (10-10 x)+34 e^{2+x+x^2} x) \, dx\) [70]
\(\int \genfrac {}{}{}{}{e^{16} x-e^{4+x} x+(-98 e^{16}-112 e^{16} x \log (3)-60 e^{16} x^2 \log ^2(3)-16 e^{16} x^3 \log ^3(3)-2 e^{16} x^4 \log ^4(3)+e^{4+x} (98+98 x+(112 x+112 x^2) \log (3)+(60 x^2+60 x^3) \log ^2(3)+(16 x^3+16 x^4) \log ^3(3)+(2 x^4+2 x^5) \log ^4(3))) \log (e^{16} x-e^{4+x} x)+(-56 e^{16} x \log (3)-60 e^{16} x^2 \log ^2(3)-24 e^{16} x^3 \log ^3(3)-4 e^{16} x^4 \log ^4(3)+e^{4+x} (56 x \log (3)+60 x^2 \log ^2(3)+24 x^3 \log ^3(3)+4 x^4 \log ^4(3))) \log ^2(e^{16} x-e^{4+x} x)}{-e^{16} x+e^{4+x} x} \, dx\) [71]
\(\int \genfrac {}{}{}{}{-3 x-8 x^2+x^3-8 x^4-x^5+(-6 x^2+3 x^3) \log (2)+(45+15 x+30 x^3+10 x^4) \log (3+x)}{270-90 x-30 x^2-170 x^3+20 x^5+30 x^6+10 x^7+(-540 x+60 x^3+180 x^4+60 x^5) \log (2)+(270 x^2+90 x^3) \log ^2(2)} \, dx\) [72]
\(\int \genfrac {}{}{}{}{1+x}{x} \, dx\) [73]
\(\int \genfrac {}{}{}{}{-50-350 x-1600 x^3-2000 x^4+2400 x^5+1600 x^6+e^{2 x} (-18+18 x)+e^x (-60-180 x+210 x^2-240 x^3-120 x^4)}{9 x^3} \, dx\) [74]
\(\int \genfrac {}{}{}{}{e^{-1-e^x} (-16 e^{2 x} x-15 x^2-15 e^2 x^2+e^x (-16+16 x+15 x^3+15 e^2 x^3))}{16 x^2+16 e^2 x^2} \, dx\) [75]
\(\int \genfrac {}{}{}{}{1}{2} (4 e^{2 x}+e^{-e^x+\genfrac {}{}{}{}{3}{2} e^{-e^x-x+x^4}-x+x^4} (3+3 e^x-12 x^3)) \, dx\) [76]
\(\int \genfrac {}{}{}{}{2+e^x (-25 e^4-2 x)+50 e^4 x+4 x^2}{25 e^4+2 x} \, dx\) [77]
\(\int \genfrac {}{}{}{}{2+4 x+4 x^2+2 x^3+e^3 (-2-2 x-2 x^2)+e^4 (2+2 x+2 x^2)+(-2-2 x-2 x^2) \log (\genfrac {}{}{}{}{3+3 x}{x})}{x+x^2} \, dx\) [78]
\(\int \genfrac {}{}{}{}{-4+3 x+8 x^2-8 x^3+2 x^4}{8 x^3-8 x^4+2 x^5} \, dx\) [79]
\(\int \genfrac {}{}{}{}{3456 x^3+6912 x^4-8 x^5-2 x^6+(1728 x^2+864 x^3-1728 x^4) \log (x)+(288 x-720 x^2-864 x^3) \log ^2(x)+(16-184 x-144 x^2) \log ^3(x)+(-12-8 x) \log ^4(x)}{4 x^4+4 x^5+x^6} \, dx\) [80]
\(\int \genfrac {}{}{}{}{-3+15 x-106 x^2+294 x^3-516 x^4+588 x^5-420 x^6+156 x^7+6 x^8-34 x^9+14 x^{10}-2 x^{11}+(-2+26 x-138 x^2+402 x^3-708 x^4+756 x^5-420 x^6-12 x^7+198 x^8-142 x^9+46 x^{10}-6 x^{11}) \log (x)}{-1+9 x-36 x^2+84 x^3-126 x^4+126 x^5-84 x^6+36 x^7-9 x^8+x^9} \, dx\) [81]
\(\int \genfrac {}{}{}{}{5-20 x+x^2}{-250+55 x-13 x^2+x^3} \, dx\) [82]
\(\int \genfrac {}{}{}{}{e^{-2 e^{5/3}+\genfrac {}{}{}{}{e^{-2 e^{5/3}} (-4 x^7+e^{2 e^{5/3}} (1-4 x+x^2-4 x^3-x^5)+e^{e^{5/3}} (8 x^4+4 x^6))}{x}} (-24 x^7+e^{2 e^{5/3}} (-1+x^2-8 x^3-4 x^5)+e^{e^{5/3}} (24 x^4+20 x^6))}{x^2} \, dx\) [83]
\(\int \genfrac {}{}{}{}{e^x (5-9 x+5 x^2)+(30 x^2-30 x^3) \log (5)+(e^x (-1+2 x-x^2)+(-6 x^2+6 x^3) \log (5)) \log (1-x)+(e^x (-5+10 x-5 x^2)+e^x (1-2 x+x^2) \log (1-x)) \log (5-\log (1-x))}{30 x^2-30 x^3+(-6 x^2+6 x^3) \log (1-x)} \, dx\) [84]
\(\int \genfrac {}{}{}{}{43+16 x+15 x^2}{1+16 x+15 x^2} \, dx\) [85]
\(\int \genfrac {}{}{}{}{e^x (-90+180 x-1090 x^2+2165 x^3-1835 x^4+580 x^5-10 x^6-10 x^7+5 x^8)+e^x (45-60 x+165 x^2-300 x^3+150 x^4+75 x^5-105 x^6+30 x^7) \log (x^2-2 x^3+9 x^4-20 x^5+36 x^6-58 x^7+70 x^8-56 x^9+28 x^{10}-8 x^{11}+x^{12})+e^x (45-90 x+225 x^2-450 x^3+450 x^4-225 x^5+45 x^6) \log ^2(x^2-2 x^3+9 x^4-20 x^5+36 x^6-58 x^7+70 x^8-56 x^9+28 x^{10}-8 x^{11}+x^{12})}{-9 x^2+3 x^3-31 x^4+31 x^5-4 x^6-9 x^7+2 x^8+x^9+(-18 x^2+12 x^3-66 x^4+84 x^5-36 x^6-6 x^7+6 x^8) \log (x^2-2 x^3+9 x^4-20 x^5+36 x^6-58 x^7+70 x^8-56 x^9+28 x^{10}-8 x^{11}+x^{12})+(-9 x^2+9 x^3-36 x^4+54 x^5-36 x^6+9 x^7) \log ^2(x^2-2 x^3+9 x^4-20 x^5+36 x^6-58 x^7+70 x^8-56 x^9+28 x^{10}-8 x^{11}+x^{12})} \, dx\) [86]
\(\int \genfrac {}{}{}{}{1}{25} (25+200 x-60 x^2+4 x^3+500 x^4-60 x^5+200 x^7+(-200 x+20 x^2-100 x^4) \log (x)+(-200 x+30 x^2-250 x^4) \log ^2(x)+100 x \log ^3(x)+50 x \log ^4(x)) \, dx\) [87]
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{2 x+\genfrac {}{}{}{}{-x-\log (x)}{x^2}}{x}} (x+\genfrac {}{}{}{}{-1+2 x+3 \log (x)}{x^2})}{x} \, dx\) [88]
\(\int \genfrac {}{}{}{}{-1+8 x-8 x^2}{4 x} \, dx\) [89]
\(\int \genfrac {}{}{}{}{e^{e^{\genfrac {}{}{}{}{1}{2} (18+8 x+x^2+(-144-36 x) \log (3)+324 \log ^2(3))}} (-1+e^{\genfrac {}{}{}{}{1}{2} (18+8 x+x^2+(-144-36 x) \log (3)+324 \log ^2(3))} (4 x+x^2-18 x \log (3)))}{x^2} \, dx\) [90]
\(\int \genfrac {}{}{}{}{20 x-15 x^2}{(-4-10 x^2+5 x^3) \log (4+10 x^2-5 x^3)} \, dx\) [91]
\(\int \genfrac {}{}{}{}{5}{x} \, dx\) [92]
\(\int \genfrac {}{}{}{}{3 e^{1+16 x^2}-2 x^2-64 x^4}{e^{1+16 x^2} x-2 x^3} \, dx\) [93]
\(\int \genfrac {}{}{}{}{-16 e^{4 x}+288 x-576 x^2+e^{e^{5-x}} (e^{4 x} (-1-9 e^{5-x})+18 x-36 x^2)}{144 e^{4 x}+9 e^{e^{5-x}+4 x}} \, dx\) [94]
\(\int \genfrac {}{}{}{}{30+30 x+e^4 (10+25 x+15 x^2)+(3 x+e^4 (-15 x-15 x^2)) \log (x)+e^4 (15+15 x) \log ^2(x)+(-3-3 x) \log (1+x)}{e^4 (15 x+15 x^2) \log ^2(x)} \, dx\) [95]
\(\int \genfrac {}{}{}{}{-196608-49152 e-4608 e^2-192 e^3-3 e^4-x^2}{x^2} \, dx\) [96]
\(\int \genfrac {}{}{}{}{e^{-x} (2+(-1+e^x) \log (x)-x \log ^2(x)-x \log (x) \log (\genfrac {}{}{}{}{100 \log ^2(x)}{x^2}))}{x \log (x)} \, dx\) [97]
\(\int \genfrac {}{}{}{}{1}{18} (e^4 x+e^4 x \log (\genfrac {}{}{}{}{x^2}{5})) \, dx\) [98]
\(\int \genfrac {}{}{}{}{7198-28800 x+e^x (3150-10800 x-7200 x^2)}{91125000-2186392500 x+21860281350 x^2-116581690799 x^3+349764501600 x^4-559716480000 x^5+373248000000 x^6+e^{3 x} (11390625-273375000 x+2733750000 x^2-14580000000 x^3+43740000000 x^4-69984000000 x^5+46656000000 x^6)+e^{2 x} (68343750-1640098125 x+16400070000 x^2-87465420000 x^3+262401120000 x^4-419865120000 x^5+279936000000 x^6)+e^x (136687500-3279892500 x+32795280675 x^2-174901685400 x^3+524724490800 x^4-839652480000 x^5+559872000000 x^6)} \, dx\) [99]
\(\int \genfrac {}{}{}{}{-20 x+5 e^4 x+e^{\genfrac {}{}{}{}{2+x}{x}} (10+5 x)}{16 x-8 e^4 x+e^8 x+e^{\genfrac {}{}{}{}{2 (2+x)}{x}} x+e^{\genfrac {}{}{}{}{2+x}{x}} (-8 x+2 e^4 x)} \, dx\) [100]