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3.18
Integrals 1701 to 1800
3.18.1
\(\int \genfrac {}{}{}{}{-e^9-2100 x-275 x^2+(-12250 x-1500 x^2) \log (x)+(-8750 x-625 x^2) \log ^2(x)}{e^{18}-50 e^9 x^2+625 x^4+(-500 e^9 x^2+12500 x^4) \log (x)+(-1250 e^9 x^2+93750 x^4) \log ^2(x)+312500 x^4 \log ^3(x)+390625 x^4 \log ^4(x)} \, dx\) [1701]
3.18.2
\(\int \genfrac {}{}{}{}{e^3+e^{-2 x-15 x^2-2 x^3+x^4} (-4 x^2-60 x^3-12 x^4+8 x^5)}{2 x^2} \, dx\) [1702]
3.18.3
\(\int \genfrac {}{}{}{}{1}{4} e^{-8-4 x} x^3 (5 \log ^3(x)+(5-5 x) \log ^4(x)) \, dx\) [1703]
3.18.4
\(\int \genfrac {}{}{}{}{80+200 x+125 x^2-48 x^3-240 x^4-225 x^5+72 x^7+135 x^8-27 x^{11}+e^3 (125-225 x^3+135 x^6-27 x^9)+(200 x+250 x^2+288 x^3+120 x^4-450 x^5-144 x^7+270 x^8-54 x^{11}) \log (3 x)}{-125 x+225 x^4-135 x^7+27 x^{10}} \, dx\) [1704]
3.18.5
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{x^4-4 x^6+4 x^7+4 x^8-8 x^9+4 x^{10}+(2 x^4-2 x^5-4 x^6+8 x^7-4 x^8) \log (x)+(x^4-2 x^5+x^6) \log ^2(x)}{4 x^4-4 x^2 \log (x)+\log ^2(x)}} (-2 x^3+4 x^5-4 x^6+16 x^7-24 x^8-32 x^9+80 x^{10}-48 x^{11}+(2 x^3+2 x^4-24 x^5+32 x^6+48 x^7-120 x^8+72 x^9) \log (x)+(8 x^3-10 x^4-24 x^5+60 x^6-36 x^7) \log ^2(x)+(4 x^3-10 x^4+6 x^5) \log ^3(x))}{-8 x^6+12 x^4 \log (x)-6 x^2 \log ^2(x)+\log ^3(x)} \, dx\) [1705]
3.18.6
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{1}{27} (-600+25 e^{\genfrac {}{}{}{}{2+2 x+e^x (1+x)}{x}})+\genfrac {}{}{}{}{2+2 x+e^x (1+x)}{x}} (-50+e^x (-25+25 x+25 x^2))}{27 x^2} \, dx\) [1706]
3.18.7
\(\int \genfrac {}{}{}{}{-4+(4 x-4 e x-6 x^2) \log (x^2)+(-2 x+2 e x+6 x^2) \log ^2(x^2)+(2 x^2+2 e^2 x^2-9 x^3+9 x^4+e (-4 x^2+9 x^3)) \log ^3(x^2)}{x \log ^3(x^2)} \, dx\) [1707]
3.18.8
\(\int \genfrac {}{}{}{}{1}{5} e^x (e^{5+\genfrac {}{}{}{}{125+x}{5}} (5+6 x)+e^5 (10+10 x)) \, dx\) [1708]
3.18.9
\(\int \genfrac {}{}{}{}{108 x+198 x^2+96 x^3+e^{2 x} (-54 x^2-441 x^3-696 x^4-192 x^5)}{288+1536 x+2048 x^2+e^{2 x} (720 x+3840 x^2+5120 x^3)+e^{4 x} (720 x^2+3840 x^3+5120 x^4)+e^{6 x} (360 x^3+1920 x^4+2560 x^5)+e^{8 x} (90 x^4+480 x^5+640 x^6)+e^{10 x} (9 x^5+48 x^6+64 x^7)} \, dx\) [1709]
3.18.10
\(\int \genfrac {}{}{}{}{e^{-\genfrac {}{}{}{}{625+x^8 \log (x)}{2 x^7}} (4375+2 x^7+2 e^{\genfrac {}{}{}{}{625+x^8 \log (x)}{2 x^7}} x^7-x^8-x^8 \log (x))}{2 x^7} \, dx\) [1710]
3.18.11
\(\int (-1+e^x-2 x-2 e^{2-x^2} x) \, dx\) [1711]
3.18.12
\(\int \genfrac {}{}{}{}{e^{28+x-2 x^2+(-24+6 x) \log (\genfrac {}{}{}{}{\log (x)}{5})+(4-x) \log ^2(\genfrac {}{}{}{}{\log (x)}{5})} (-24+6 x+(x-4 x^2) \log (x)+(8-2 x+6 x \log (x)) \log (\genfrac {}{}{}{}{\log (x)}{5})-x \log (x) \log ^2(\genfrac {}{}{}{}{\log (x)}{5}))}{x \log (x)} \, dx\) [1712]
3.18.13
\(\int \genfrac {}{}{}{}{-1+e^{2+e^x x^4} (2 x^3+e^x (-8 x^5-2 x^6+4 x^7+x^8))}{x^2} \, dx\) [1713]
3.18.14
\(\int (-22+e^x-2 x+18 x^2-4 x^3) \, dx\) [1714]
3.18.15
\(\int \genfrac {}{}{}{}{2 x+x^2+x^3+e^{8 x^4} (-8+4 x^2) \log ^3(\genfrac {}{}{}{}{x}{2+x+x^2})+e^{8 x^4} (-64 x^4-32 x^5-32 x^6) \log ^4(\genfrac {}{}{}{}{x}{2+x+x^2})}{2 x+x^2+x^3} \, dx\) [1715]
3.18.16
\(\int \genfrac {}{}{}{}{-e^x+x+3 x^2+3 x \log (x)+e^{-2+\genfrac {}{}{}{}{e^x-x-3 x^2-3 x \log (x)}{e^2}} (4-e^x+6 x+3 \log (x)) (e^x-x-3 x^2-3 x \log (x))}{-e^x+x+3 x^2+3 x \log (x)} \, dx\) [1716]
3.18.17
\(\int \genfrac {}{}{}{}{(8 x^2-4 e^x x^3-4 x^5+(-16 x^2-6 x^3+8 x^5+e^x (-2 x-2 x^2+8 x^3)) \log (4 x)+(-4+2 e^x x+2 x^3) \log (2-e^x x-x^3)) \log (\genfrac {}{}{}{}{\log (4 x)}{-2 x^2+\log (2-e^x x-x^3)})}{(4 x^3-2 e^x x^4-2 x^6) \log (4 x)+(-2 x+e^x x^2+x^4) \log (4 x) \log (2-e^x x-x^3)} \, dx\) [1717]
3.18.18
\(\int \genfrac {}{}{}{}{-1-4 \log (x)+\log (x) \log (\log (x))}{25 x^2 \log (x)} \, dx\) [1718]
3.18.19
\(\int \genfrac {}{}{}{}{800 e^{\genfrac {}{}{}{}{4}{1+4 x}}-800 e^{\genfrac {}{}{}{}{8}{1+4 x}}}{29+232 x+464 x^2+e^{\genfrac {}{}{}{}{4}{1+4 x}} (-50-400 x-800 x^2)+e^{\genfrac {}{}{}{}{8}{1+4 x}} (25+200 x+400 x^2)} \, dx\) [1719]
3.18.20
\(\int (6+6 e^2+6 x-3 \log ^2(3)) \, dx\) [1720]
3.18.21
\(\int \genfrac {}{}{}{}{-1-e+x^2-\log (\genfrac {}{}{}{}{1}{3 e^5 x})}{x^2} \, dx\) [1721]
3.18.22
\(\int \genfrac {}{}{}{}{e^{e^2} (-12 x+4 x^2+3 x^3-x^4+e^{-1+x} (12-4 x-3 x^2+x^3))+e^{e^2} (12 x-8 x^2+3 x^3+e^{-1+x} (-8 x-2 x^2+4 x^3-x^4)) \log (\genfrac {}{}{}{}{5}{x})}{16 x-8 x^3+x^5} \, dx\) [1722]
3.18.23
\(\int \genfrac {}{}{}{}{4 x-5 x^2-2 x^3+3 x^4+e^{\genfrac {}{}{}{}{1}{-x+x^2}} (x-3 x^2+2 x^3-x^4)+(x^2-2 x^3+x^4) \log (x)}{4+8 x-12 x^2-16 x^3+16 x^4+e^{\genfrac {}{}{}{}{1}{-x+x^2}} (-4 x+12 x^3-8 x^4)+e^{\genfrac {}{}{}{}{2}{-x+x^2}} (x^2-2 x^3+x^4)+(4 x-12 x^3+8 x^4+e^{\genfrac {}{}{}{}{1}{-x+x^2}} (-2 x^2+4 x^3-2 x^4)) \log (x)+(x^2-2 x^3+x^4) \log ^2(x)} \, dx\) [1723]
3.18.24
\(\int \genfrac {}{}{}{}{1}{2} e^{\genfrac {}{}{}{}{1}{2} (-x-2 e^e x+2 x^2)} (4 x-x^2-2 e^e x^2+4 x^3) \, dx\) [1724]
3.18.25
\(\int \genfrac {}{}{}{}{-3 x^2+(1-3 x) \log (3)+e^{e^4-x} (x^2+x \log (3))}{x^2+x \log (3)} \, dx\) [1725]
3.18.26
\(\int \genfrac {}{}{}{}{-15 x^4+e^x (-5+5 x)+(e^x (-1+x)-3 x^4) \log (\genfrac {}{}{}{}{e^x+80 x-x^4}{5 x})}{2 e^x x+160 x^2-2 x^5} \, dx\) [1726]
3.18.27
\(\int \genfrac {}{}{}{}{1-7 x+33 x^2+31 x^3-40 x^4-60 x^5-20 x^6+e^{-3+3 x} (1-20 x^3)+e^{-2+2 x} (3+3 x+30 x^2-70 x^3-60 x^4)+e^{-1+x} (3-4 x+73 x^2-20 x^3-130 x^4-60 x^5)}{1+e^{-3+3 x}+3 x+3 x^2+x^3+e^{-2+2 x} (3+3 x)+e^{-1+x} (3+6 x+3 x^2)} \, dx\) [1727]
3.18.28
\(\int \genfrac {}{}{}{}{64 x^6-16 x^2 \log (5)+e^{e^3} (4+2 x+256 x^7+128 x^8+(-64 x^3-32 x^4) \log (5))+(4+2 x+256 x^7+128 x^8+(-64 x^3-32 x^4) \log (5)) \log (2+x)+(192 x^4-16 \log (5)+e^{e^3} (768 x^5+384 x^6+(-64 x-32 x^2) \log (5))+(768 x^5+384 x^6+(-64 x-32 x^2) \log (5)) \log (2+x)) \log (e^{e^3}+\log (2+x))+(192 x^2+e^{e^3} (768 x^3+384 x^4)+(768 x^3+384 x^4) \log (2+x)) \log ^2(e^{e^3}+\log (2+x))+(64+e^{e^3} (256 x+128 x^2)+(256 x+128 x^2) \log (2+x)) \log ^3(e^{e^3}+\log (2+x))}{e^{e^3} (2+x)+(2+x) \log (2+x)} \, dx\) [1728]
3.18.29
\(\int \genfrac {}{}{}{}{4^{-\genfrac {}{}{}{}{10 x}{(i \pi +\log (\log (625)))^2}} (\genfrac {}{}{}{}{1}{x})^{\genfrac {}{}{}{}{10 x}{(i \pi +\log (\log (625)))^2}} (-10+10 \log (\genfrac {}{}{}{}{1}{4 x}))}{(i \pi +\log (\log (625)))^2} \, dx\) [1729]
3.18.30
\(\int \genfrac {}{}{}{}{20 e^{4/x}-30 x^4-4 x^5}{x^2} \, dx\) [1730]
3.18.31
\(\int \genfrac {}{}{}{}{e^{-\genfrac {}{}{}{}{1}{x^2}} (40+10 x+20 x^2-5 x^3)}{64 x^2+48 x^3+12 x^4+x^5} \, dx\) [1731]
3.18.32
\(\int \genfrac {}{}{}{}{1}{15} e^{\genfrac {}{}{}{}{1}{15} (-2 x+x^2)} (-2+2 x) \, dx\) [1732]
3.18.33
\(\int 2 e^4 x^7 \, dx\) [1733]
3.18.34
\(\int \genfrac {}{}{}{}{6045+1208 x-1209 \log ^2(4)}{-5 x-x^2+x \log ^2(4)} \, dx\) [1734]
3.18.35
\(\int \genfrac {}{}{}{}{-375-525 x-119 x^2+2 x^3}{375 x^2+122 x^3-x^4+(375 x+125 x^2) \log (x)+(75 x+25 x^2) \log (3+x)} \, dx\) [1735]
3.18.36
\(\int \genfrac {}{}{}{}{-120+11 x-8 x^2}{125+5 x+8 x^2} \, dx\) [1736]
3.18.37
\(\int \genfrac {}{}{}{}{e^{4+2 e^{x+2 x (i \pi +\log (-1+e^2))+x (i \pi +\log (-1+e^2))^2}+x+2 x (i \pi +\log (-1+e^2))+x (i \pi +\log (-1+e^2))^2} (2+4 (i \pi +\log (-1+e^2))+2 (i \pi +\log (-1+e^2))^2)}{-1+e^{4+2 e^{x+2 x (i \pi +\log (-1+e^2))+x (i \pi +\log (-1+e^2))^2}}} \, dx\) [1737]
3.18.38
\(\int \genfrac {}{}{}{}{(512+128 x-512 x^2+128 x^4) \log ^7(x)+(-640-224 x+1152 x^2-416 x^4) \log ^8(x)}{640000 x^{11}+800000 x^{12}-2800000 x^{13}-3100000 x^{14}+6012500 x^{15}+5400625 x^{16}-8112500 x^{17}-5450000 x^{18}+7403125 x^{19}+3450000 x^{20}-4665000 x^{21}-1393750 x^{22}+2025000 x^{23}+350000 x^{24}-593750 x^{25}-50000 x^{26}+112500 x^{27}+3125 x^{28}-12500 x^{29}+625 x^{31}} \, dx\) [1738]
3.18.39
\(\int \genfrac {}{}{}{}{-1+(6+2 x-3 x^2) \log (5)}{\log (5)} \, dx\) [1739]
3.18.40
\(\int \genfrac {}{}{}{}{-5 e^7+e^6 (-5 e^4+20 e^2 x)+e^6 (20 e^2 x+10 e^4 x) \log (x)+(-e^4 x+e^3 (-2 e^4 x+8 e^2 x^2)+e^6 (4 e^4 x+8 e^2 x^2-16 x^3)) \log ^2(x)+(2 e^7 x^2+e^6 (2 e^4 x^2-8 e^2 x^3)) \log ^3(x)-e^{10} x^3 \log ^4(x)}{(e^4 x+e^3 (2 e^4 x-8 e^2 x^2)+e^6 (e^4 x-8 e^2 x^2+16 x^3)) \log ^2(x)+(-2 e^7 x^2+e^6 (-2 e^4 x^2+8 e^2 x^3)) \log ^3(x)+e^{10} x^3 \log ^4(x)} \, dx\) [1740]
3.18.41
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{1}{5} (-12+e^{e^3} (-3-5 x)-5 x+25 x^2+(-3-5 x) \log (x))} (-3-10 x-5 e^{e^3} x+50 x^2-5 x \log (x))}{5 x} \, dx\) [1741]
3.18.42
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{x-x^3 \log (x)}{\log ^2(x)}} (2+(-1-x^2) \log (x)+3 x^2 \log ^2(x))}{\log ^3(x)} \, dx\) [1742]
3.18.43
\(\int \genfrac {}{}{}{}{-6000+1000 x+(-2200+200 x) \log (x)-200 \log ^2(x)}{3 x^3} \, dx\) [1743]
3.18.44
\(\int e^{1-e^x+e^{1-e^x+x+x \log (2 e^{2 x} x^2)}+x+x \log (2 e^{2 x} x^2)} (3-e^x+2 x+\log (2 e^{2 x} x^2)) \, dx\) [1744]
3.18.45
\(\int \genfrac {}{}{}{}{\genfrac {}{}{}{}{e^{17} (1+x)}{x}+\genfrac {}{}{}{}{e (-1-x) (2+2 x)^5}{x}+(5 e-25 x) (2+2 x)^5 \log (5-\genfrac {}{}{}{}{e}{x}) \log (\log (5-\genfrac {}{}{}{}{e}{x}))}{(-5 x-5 x^2+\genfrac {}{}{}{}{e (x+x^2)}{x}) \log (5-\genfrac {}{}{}{}{e}{x})} \, dx\) [1745]
3.18.46
\(\int \genfrac {}{}{}{}{-13 e^{x/2}-52 e^{x^2} x+(-78+26 e^{x/2}+26 e^{x^2}) \log (-3+e^{x/2}+e^{x^2})}{(-36 x^2+12 e^{x/2} x^2+12 e^{x^2} x^2) \log (-3+e^{x/2}+e^{x^2})+(72 x-24 e^{x/2} x-24 e^{x^2} x) \log (-3+e^{x/2}+e^{x^2}) \log (\log (-3+e^{x/2}+e^{x^2}))+(-36+12 e^{x/2}+12 e^{x^2}) \log (-3+e^{x/2}+e^{x^2}) \log ^2(\log (-3+e^{x/2}+e^{x^2}))} \, dx\) [1746]
3.18.47
\(\int \genfrac {}{}{}{}{e^{2 x} (843780+226968 x-30576 x^2-5880 x^3+588 x^4)+e^{4 x} (7031500+4302200 x+198520 x^2-257736 x^3-17616 x^4+7080 x^5+136 x^6-88 x^7+4 x^8)}{2401} \, dx\) [1747]
3.18.48
\(\int \genfrac {}{}{}{}{-512+500 x-78 x^2-4 x^3+e^2 (4 x^3-x^4) \log (4)+(32-32 x+6 x^2) \log (4-x)}{e^2 (-16 x^3+20 x^4-8 x^5+x^6)} \, dx\) [1748]
3.18.49
\(\int \genfrac {}{}{}{}{x^2+e^{e^{\genfrac {}{}{}{}{1}{x}+x}+\genfrac {}{}{}{}{1}{x}+x} (-1+x^2)+(-3 e^{e^{\genfrac {}{}{}{}{1}{x}+x}} x-3 x^2) \log (2 e^{e^{\genfrac {}{}{}{}{1}{x}+x}}+2 x)}{(e^{e^{\genfrac {}{}{}{}{1}{x}+x}} x^2+x^3) \log (2 e^{e^{\genfrac {}{}{}{}{1}{x}+x}}+2 x)} \, dx\) [1749]
3.18.50
\(\int \genfrac {}{}{}{}{256+512 x+192 x^2}{1+256 x+256 x^2+64 x^3} \, dx\) [1750]
3.18.51
\(\int \genfrac {}{}{}{}{e^{-4 x} (e^{4 e^4} (256-1024 x)+e^{4 e^4} (192-1024 x) \log (x)+e^{4 e^4} (48-384 x) \log ^2(x)+e^{4 e^4} (4-64 x) \log ^3(x)-4 e^{4 e^4} x \log ^4(x))}{x} \, dx\) [1751]
3.18.52
\(\int \genfrac {}{}{}{}{2-156 x+122 x^2-8 x^3+1352 x^4-208 x^5+8 x^6}{1+52 x^2-4 x^3+676 x^4-104 x^5+4 x^6} \, dx\) [1752]
3.18.53
\(\int \genfrac {}{}{}{}{1+8 x^5+4 x^6+(-1+2 x) \log (x)}{2 x^6+x \log (x)} \, dx\) [1753]
3.18.54
\(\int \genfrac {}{}{}{}{512 x^2-128 x^3+(1536 x^2-128 x^3) \log (x)+\genfrac {}{}{}{}{e^{5-x} (32 x^2+(160 x^2+64 x^3) \log (x))}{x}}{4096+\genfrac {}{}{}{}{e^{15-3 x}}{x^3}+\genfrac {}{}{}{}{e^{10-2 x} (48-12 x)}{x^2}-3072 x+768 x^2-64 x^3+\genfrac {}{}{}{}{e^{5-x} (768-384 x+48 x^2)}{x}} \, dx\) [1754]
3.18.55
\(\int \genfrac {}{}{}{}{-6 x+2 x^3+e^{10} (-6 x+2 x^3)+e^5 (-12 x+4 x^3)+e^{2-2 x} (-6 x+6 x^2+2 x^3-2 x^4)+e^{1-x} (-12 x+6 x^2+4 x^3-2 x^4+e^5 (-12 x+6 x^2+4 x^3-2 x^4))+(2 x+2 x^3+4 e^5 x^3+2 e^{10} x^3+2 e^{2-2 x} x^3+e^{1-x} (4 x^3+4 e^5 x^3)) \log (1+x^2+2 e^5 x^2+e^{10} x^2+e^{2-2 x} x^2+e^{1-x} (2 x^2+2 e^5 x^2))}{1+x^2+2 e^5 x^2+e^{10} x^2+e^{2-2 x} x^2+e^{1-x} (2 x^2+2 e^5 x^2)} \, dx\) [1755]
3.18.56
\(\int -e^x \, dx\) [1756]
3.18.57
\(\int \genfrac {}{}{}{}{48-16 x-8 x^5+(-64+24 x+16 x^5) \log (x)-8 x^5 \log ^2(x)}{x^5-2 x^5 \log (x)+x^5 \log ^2(x)} \, dx\) [1757]
3.18.58
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{-e+\log (3)}{-20-x+x \log (x)}} (e-\log (3)) \log (x)}{400+40 x+x^2+(-40 x-2 x^2) \log (x)+x^2 \log ^2(x)} \, dx\) [1758]
3.18.59
\(\int \genfrac {}{}{}{}{50-40 x-25 e^x x^3+(-20+8 x) \log (4)+2 \log ^2(4)}{x^3} \, dx\) [1759]
3.18.60
\(\int \genfrac {}{}{}{}{e^{3-x} (81 x^2+63 x^3-17 x^4+x^5)+e^{-\genfrac {}{}{}{}{e^{-2+x}}{-9 x+x^2}} (e (-9+11 x-x^2)+e^{3-x} (81 x^2-18 x^3+x^4))}{e^{3-x-\genfrac {}{}{}{}{e^{-2+x}}{-9 x+x^2}} (81 x^2-18 x^3+x^4)+e^{3-x} (81 x^3-18 x^4+x^5)} \, dx\) [1760]
3.18.61
\(\int \genfrac {}{}{}{}{e^{e^{-\genfrac {}{}{}{}{e^{32}}{-5+\log (x)}} (-2-2 x)-\genfrac {}{}{}{}{e^{32}}{-5+\log (x)}} (e^{32} (-2-2 x)-50 x+20 x \log (x)-2 x \log ^2(x))}{25 x-10 x \log (x)+x \log ^2(x)} \, dx\) [1761]
3.18.62
\(\int \genfrac {}{}{}{}{3^{-\genfrac {}{}{}{}{2 (x^3-x^4)}{1+4 x^3 \log (\genfrac {}{}{}{}{x}{3})}} x^{\genfrac {}{}{}{}{2 (x^3-x^4)}{1+4 x^3 \log (\genfrac {}{}{}{}{x}{3})}} (2 x^2-2 x^3+(6 x^2-8 x^3) \log (\genfrac {}{}{}{}{x}{3})-8 x^6 \log ^2(\genfrac {}{}{}{}{x}{3}))}{1+8 x^3 \log (\genfrac {}{}{}{}{x}{3})+16 x^6 \log ^2(\genfrac {}{}{}{}{x}{3})} \, dx\) [1762]
3.18.63
\(\int (1250 x+4500 x^2+4200 x^3+900 x^4+54 x^5+(-300 x-990 x^2-792 x^3-90 x^4) \log (2)+(18 x+54 x^2+36 x^3) \log ^2(2)+(-300 x-540 x^2-72 x^3+(36 x+54 x^2) \log (2)) \log (4)+18 x \log ^2(4)) \, dx\) [1763]
3.18.64
\(\int e^{-40 x^4+20 x^5+(-8 x^3+4 x^4) \log (2)-4 \log ^2(2)} (-160 x^3+100 x^4+(-24 x^2+16 x^3) \log (2)) \, dx\) [1764]
3.18.65
\(\int \genfrac {}{}{}{}{-x^3+e^{e^{\genfrac {}{}{}{}{20+20 x+125 x^2+5 x^3}{x^2}}+\genfrac {}{}{}{}{20+20 x+125 x^2+5 x^3}{x^2}} (-40-20 x+5 x^3)}{x^3} \, dx\) [1765]
3.18.66
\(\int (2+2 x+e (20 x-4 x^3)) \, dx\) [1766]
3.18.67
\(\int \genfrac {}{}{}{}{-32 x+28 x^2+(-16+28 x) \log (16)}{x^2+x \log (16)} \, dx\) [1767]
3.18.68
\(\int \genfrac {}{}{}{}{2-e^x-x-x^2+(64 x^2+64 e^x x^2+128 x^3) \log ^3(-2+e^x+x+x^2)}{-2 x^2+e^x x^2+x^3+x^4} \, dx\) [1768]
3.18.69
\(\int \genfrac {}{}{}{}{-2 x^3+(4 x^3-8 x \log (3)) \log (6 x)+16 x \log (3) \log ^2(6 x)}{\log ^2(3) \log ^3(6 x)} \, dx\) [1769]
3.18.70
\(\int \genfrac {}{}{}{}{x^2+e^{5+x^2} (-120+240 x^2+(-20+40 x^2) \log (3))}{x^2} \, dx\) [1770]
3.18.71
\(\int \genfrac {}{}{}{}{5 x+e^{\genfrac {}{}{}{}{10+x^3}{5 x}} (30 x^2-30 x^3-6 x^5+e^5 (-10+2 x^3))}{25 x^2} \, dx\) [1771]
3.18.72
\(\int \genfrac {}{}{}{}{-800-168 x+e^x (400+164 x+16 x^2)+(-200-40 x+e^x (100+40 x+4 x^2)) \log (5+x)}{40000 x^6+8000 x^7+e^x (-40000 x^6-8000 x^7)+e^{2 x} (10000 x^6+2000 x^7)+(20000 x^6+4000 x^7+e^x (-20000 x^6-4000 x^7)+e^{2 x} (5000 x^6+1000 x^7)) \log (5+x)+(2500 x^6+500 x^7+e^x (-2500 x^6-500 x^7)+e^{2 x} (625 x^6+125 x^7)) \log ^2(5+x)} \, dx\) [1772]
3.18.73
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{8 (-34+3 x+(-10+x) \log (4)+(-3-\log (4)) \log (\log (x)))}{3+\log (4)}} (-8+8 x \log (x))}{x \log (x)} \, dx\) [1773]
3.18.74
\(\int \genfrac {}{}{}{}{-3+400 e^{e^5}-2 x^2}{x^2} \, dx\) [1774]
3.18.75
\(\int \genfrac {}{}{}{}{e^x (-15-50 x^2+10 e^{2 x} x^2+(15 x+5 e^{2 x} x^2-50 x^3) \log (\genfrac {}{}{}{}{-3-e^{2 x} x+10 x^2}{x}))}{3 x+e^{2 x} x^2-10 x^3} \, dx\) [1775]
3.18.76
\(\int \genfrac {}{}{}{}{-375 x+15 x^2+(10125+10845 x+4925 x^2+1035 x^3+75 x^4-5 x^5) \log (-25+x)+(-405 x-450 x^2-215 x^3-50 x^4-5 x^5+(11250 x+10300 x^2+3320 x^3+350 x^4-20 x^5) \log (-25+x)) \log (x)}{-25 x+x^2} \, dx\) [1776]
3.18.77
\(\int \genfrac {}{}{}{}{1}{12} (15+12 e^x+548 x-348 x^2+48 x^3-8 x \log (x)) \, dx\) [1777]
3.18.78
\(\int \genfrac {}{}{}{}{48 x^3+3 x^5+(-144 x^2-9 x^4) \log (x)+(144 x+9 x^3) \log ^2(x)+(-48-3 x^2) \log ^3(x)+e^{\genfrac {}{}{}{}{2 (3 x^2+3 x^4-6 x^3 \log (x)+3 x^2 \log ^2(x))}{x^2-2 x \log (x)+\log ^2(x)}} (12 x^2+x^3+12 x^5+(-15 x^2-36 x^4) \log (x)+(3 x+36 x^3) \log ^2(x)+(-1-12 x^2) \log ^3(x))+e^{\genfrac {}{}{}{}{3 x^2+3 x^4-6 x^3 \log (x)+3 x^2 \log ^2(x)}{x^2-2 x \log (x)+\log ^2(x)}} (12 x^3+4 x^4+12 x^6+(-24 x^3-36 x^5) \log (x)+(12 x^2+36 x^4) \log ^2(x)+(-4 x-12 x^3) \log ^3(x))}{-16 x^3+48 x^2 \log (x)-48 x \log ^2(x)+16 \log ^3(x)} \, dx\) [1778]
3.18.79
\(\int \genfrac {}{}{}{}{4 x-2 x^2+e^x (2 x-4 x^2-2 x^3)+e^{2 x} (-2 x^2-2 x^3)+(-2+2 x+e^x (2 x+2 x^2)) \log (x)-16 x^2 \log (x^2)-8 x^2 \log ^2(x^2)}{x} \, dx\) [1779]
3.18.80
\(\int \genfrac {}{}{}{}{e^{-x} (e^x (2 x^2-8 x^3+4 x^4+8 x^5+2 x^6+e^6 (2-4 x^2+2 x^4)+e^3 (-4 x+8 x^2+8 x^3-8 x^4-4 x^5))+(x^2-x^3+3 x^4+x^5+e^6 (1-x+x^2+x^3)+e^3 (-2 x-4 x^3-2 x^4)) \log (4))}{x^2-4 x^3+2 x^4+4 x^5+x^6+e^6 (1-2 x^2+x^4)+e^3 (-2 x+4 x^2+4 x^3-4 x^4-2 x^5)} \, dx\) [1780]
3.18.81
\(\int \genfrac {}{}{}{}{10 e^x+e^{2 x-x^2+\genfrac {}{}{}{}{1}{10} (-30+e^{2 x-x^2} x)} (-1-2 x+2 x^2)}{20 e^{2 x}+20 e^{\genfrac {}{}{}{}{1}{5} (-30+e^{2 x-x^2} x)}-40 e^x \log (2)+20 \log ^2(2)+e^{\genfrac {}{}{}{}{1}{10} (-30+e^{2 x-x^2} x)} (-40 e^x+40 \log (2))} \, dx\) [1781]
3.18.82
\(\int \genfrac {}{}{}{}{-2+e^{27+x} (x-x^2)}{9 x^3} \, dx\) [1782]
3.18.83
\(\int \genfrac {}{}{}{}{2}{3+x} \, dx\) [1783]
3.18.84
\(\int \genfrac {}{}{}{}{390625 \log (x)-x \log ^2(x)+(390625+x \log ^2(x)) \log (x \log (3))+x \log ^2(x) \log ^2(x \log (3))}{(-390625 x \log (x)+x^2 \log ^2(x)) \log (x \log (3))+(x+x^2) \log ^2(x) \log ^2(x \log (3))} \, dx\) [1784]
3.18.85
\(\int \genfrac {}{}{}{}{e^{-4 x^2} (e^{4 x^2} \log ^2(x)+e^{\genfrac {}{}{}{}{e^{-4 x^2} x}{\log (x)}} (31+5 x+(-31-5 x+248 x^2+40 x^3) \log (x)-5 e^{4 x^2} \log ^2(x)))}{\log ^2(x)} \, dx\) [1785]
3.18.86
\(\int \genfrac {}{}{}{}{-x^3+e^{2 x} (4 x^2-4 \log (2))+x \log (2)+e^{2 x} (-8-8 x+48 x^2) \log (-\genfrac {}{}{}{}{x}{4 e^{2 x}-x})+(4 e^{2 x}-x) \log ^2(-\genfrac {}{}{}{}{x}{4 e^{2 x}-x})}{4 e^{2 x} x^2-x^3} \, dx\) [1786]
3.18.87
\(\int \genfrac {}{}{}{}{121+22 x+4 x^2+(-22-2 x) \log (2)+\log ^2(2)+(-121+x^2+22 \log (2)-\log ^2(2)) \log (x)}{x^2} \, dx\) [1787]
3.18.88
\(\int \genfrac {}{}{}{}{(5+e^{(7-x) \log ^2(x)} (-1+(14-2 x) \log (x)-x \log ^2(x))) \log (\log (\log (5)))}{25-10 e^{(7-x) \log ^2(x)}+e^{2 (7-x) \log ^2(x)}} \, dx\) [1788]
3.18.89
\(\int x^{35+609 x+2650 x^2+625 x^3+e^2 (4+x)} (72+1218 x+5300 x^2+1250 x^3+e^2 (8+2 x)+(1218 x+2 e^2 x+10600 x^2+3750 x^3) \log (x)) \, dx\) [1789]
3.18.90
\(\int \genfrac {}{}{}{}{18 x+20 x^2+4 x^3+2 x^4+e^x (-18 x^2-2 x^3-2 x^4)+\genfrac {}{}{}{}{1}{5} e^4 (-9 x-x^2-x^3) (-9-11 x-4 x^2-x^3+e^x (9 x+x^2+x^3))}{-18 x^2-2 x^3-2 x^4+\genfrac {}{}{}{}{1}{5} e^4 (-9 x-x^2-x^3) (9 x+x^2+x^3)} \, dx\) [1790]
3.18.91
\(\int \genfrac {}{}{}{}{1}{5} e^{-\genfrac {}{}{}{}{-1+e^{23} x}{e^{23}}} (20+e^{\genfrac {}{}{}{}{-1+e^{23} x}{e^{23}}} (5+e^{\genfrac {}{}{}{}{1}{5} (-5 e^4 x+x^2)} (-5 e^4+2 x))) \, dx\) [1791]
3.18.92
\(\int \genfrac {}{}{}{}{-6 e^x+e^x (-11+3 x) \log (121-66 x+9 x^2)}{e^{25} (-11+3 x) \log ^2(121-66 x+9 x^2)} \, dx\) [1792]
3.18.93
\(\int \genfrac {}{}{}{}{-3 x^3+(10 x^3-x^4) \log (x)+(-5+5 x) \log ^2(x)+\log (-\genfrac {}{}{}{}{e^x}{4 x}) (-x^3+3 x^3 \log (x))}{x^7-10 x^4 \log (x)+25 x \log ^2(x)} \, dx\) [1793]
3.18.94
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{2 x-6 x^2+(-2+3 x) \log (x)}{-2 x^2+x \log (x)}} (2 x+4 x^2-8 x \log (x)+2 \log ^2(x))}{4 x^4-4 x^3 \log (x)+x^2 \log ^2(x)} \, dx\) [1794]
3.18.95
\(\int \genfrac {}{}{}{}{-9+9 x^2+e^{2 x^2+2 x^3} (x^2+4 x^4+6 x^5)+9 x^2 \log (x)}{9 x^2} \, dx\) [1795]
3.18.96
\(\int \genfrac {}{}{}{}{-15-10 x+x^2+e^{e^{-10+6 e^{10}}-2 e^{-5+3 e^{10}} x+x^2} (3+2 x-6 x^2-2 x^3+e^{-5+3 e^{10}} (6 x+2 x^2))}{25+e^{2 e^{-10+6 e^{10}}-4 e^{-5+3 e^{10}} x+2 x^2}-10 x+x^2+e^{e^{-10+6 e^{10}}-2 e^{-5+3 e^{10}} x+x^2} (-10+2 x)} \, dx\) [1796]
3.18.97
\(\int \genfrac {}{}{}{}{4+x-2 x \log (\genfrac {}{}{}{}{-5 x-5 e^5 x+(2 x+2 e^5 x) \log (2)}{2 \log (2)})}{64 x+48 x^2+12 x^3+x^4} \, dx\) [1797]
3.18.98
\(\int \genfrac {}{}{}{}{4 x^2+e^{\genfrac {}{}{}{}{-4+x-x^2}{x}} (-16+4 x^2)+(e^{\genfrac {}{}{}{}{-4+x-x^2}{x}} x^2-x^3) \log (e^{\genfrac {}{}{}{}{-4+x-x^2}{x}}-x)}{(e^{\genfrac {}{}{}{}{-4+x-x^2}{x}} x^2-x^3) \log (e^{\genfrac {}{}{}{}{-4+x-x^2}{x}}-x)} \, dx\) [1798]
3.18.99
\(\int \genfrac {}{}{}{}{1}{2} (-1+e^x (-3-3 x)) \, dx\) [1799]
3.18.100
\(\int \genfrac {}{}{}{}{(-34-34 x+e^4 (2 x+2 x^2)) \log (e^5 x)+(34 x+e^4 (x-x^2)) \log ^2(e^5 x)}{x+3 x^2+3 x^3+x^4} \, dx\) [1800]
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