[
next
] [
prev
] [
prev-tail
] [
tail
] [
up
]
3.18
Integrals 1701 to 1800
3.18.1
\(\int \genfrac {}{}{}{}{240 x+768 x^4}{25-320 x^3+64 e^2 x^4+1024 x^6+e (80 x^2-512 x^5)+(-80 x^2-128 e x^4+512 x^5) \log (4)+64 x^4 \log ^2(4)} \, dx\) [1701]
3.18.2
\(\int (1+e^{e^{3-x+x \log ^2(x)}} (1+e^{3-x+x \log ^2(x)} (-x+2 x \log (x)+x \log ^2(x)))) \, dx\) [1702]
3.18.3
\(\int \genfrac {}{}{}{}{55+30 x-18 x^2+102 x^3+110 x^4-56 x^5+6 x^6+100 x^7-40 x^8+4 x^9+e^2 (-50 x^2+20 x^3-2 x^4-100 x^5+40 x^6-4 x^7)+(275+150 x-90 x^2+410 x^3+390 x^4-204 x^5+22 x^6+200 x^7-80 x^8+8 x^9+e^4 (100 x^3-40 x^4+4 x^5)+e^2 (-100 x-210 x^2+96 x^3-10 x^4-300 x^5+120 x^6-12 x^7)) \log (x)+(550+300 x-180 x^2+520 x^3+450 x^4-240 x^5+26 x^6+e^2 (-200 x-270 x^2+132 x^3-14 x^4)) \log ^2(x)+(550+300 x-180 x^2+220 x^3+170 x^4-92 x^5+10 x^6+e^2 (-100 x-110 x^2+56 x^3-6 x^4)) \log ^3(x)+(275+150 x-90 x^2+10 x^3) \log ^4(x)+(55+30 x-18 x^2+2 x^3) \log ^5(x)}{25-10 x+x^2+(125-50 x+5 x^2) \log (x)+(250-100 x+10 x^2) \log ^2(x)+(250-100 x+10 x^2) \log ^3(x)+(125-50 x+5 x^2) \log ^4(x)+(25-10 x+x^2) \log ^5(x)} \, dx\) [1703]
3.18.4
\(\int \genfrac {}{}{}{}{2 e^{3+8 e^5} x}{e^9-15 e^6 x+75 e^3 x^2-125 x^3} \, dx\) [1704]
3.18.5
\(\int \genfrac {}{}{}{}{-1+3 \log (x)}{x^2 \log (x)+x \log (x) \log (\genfrac {}{}{}{}{e^{-4-x} x^3}{10 \log (x)})} \, dx\) [1705]
3.18.6
\(\int \genfrac {}{}{}{}{-8 e^{x/2} x^2+e^{x/2} (8 x+2 x^2) \log (4 e^{5+x})}{-64 e^{3 x/4} x^3+48 e^{x/2} x^2 \log (4 e^{5+x})-12 e^{x/4} x \log ^2(4 e^{5+x})+\log ^3(4 e^{5+x})} \, dx\) [1706]
3.18.7
\(\int \genfrac {}{}{}{}{x^3+(2 x^2+x^3) \log (\genfrac {}{}{}{}{1}{2} (6+3 x))+e^{e^x} (-4-2 x-x^2+e^x (4 x+2 x^2)+(-4 x-2 x^2+e^x (2 x^2+x^3)) \log (\genfrac {}{}{}{}{1}{2} (6+3 x)))}{8 x^2+4 x^3+(8 x^3+4 x^4) \log (\genfrac {}{}{}{}{1}{2} (6+3 x))+(2 x^4+x^5) \log ^2(\genfrac {}{}{}{}{1}{2} (6+3 x))} \, dx\) [1707]
3.18.8
\(\int 18 e^4 \, dx\) [1708]
3.18.9
\(\int (324 x^3+e^{9 e^{e^{e^x}}+3 x} (-750000 x^3-562500 x^4-1687500 e^{e^{e^x}+e^x+x} x^4)+e^{3 e^{e^{e^x}}+x} (-10800 x^3-2700 x^4-8100 e^{e^{e^x}+e^x+x} x^4)+e^{6 e^{e^{e^x}}+2 x} (135000 x^3+67500 x^4+202500 e^{e^{e^x}+e^x+x} x^4)+e^{12 e^{e^{e^x}}+4 x} (1562500 x^3+1562500 x^4+4687500 e^{e^{e^x}+e^x+x} x^4)) \, dx\) [1709]
3.18.10
\(\int \genfrac {}{}{}{}{e^{11}+e^{11+x} (-1-x)+4 x^3}{e^{11} (-7-x)+e^{11+x} x-x^4} \, dx\) [1710]
3.18.11
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{3 x^2}{4 e^x x-x \log (4)}} (-64 e^{2 x} x^2-12 x^3 \log (4)-4 x^2 \log ^2(4)+e^x x (48 x^2-48 x^3+32 x \log (4)))}{16 e^{2 x} x^4-8 e^x x^4 \log (4)+x^4 \log ^2(4)} \, dx\) [1711]
3.18.12
\(\int \genfrac {}{}{}{}{-3 x^3+e^3 (10 x^2-x^3-x^4)+e^x (-6 x^3+e^3 (-10 x^2-2 x^3-2 x^4))+e^{2 x} (6 x^3+e^3 (2 x^3+2 x^4))+(-30 x+e^3 (40 x-10 x^2)+e^x (30 x-30 x^2+e^3 (10 x-10 x^3))) \log (3+e^3 (1+x))+(-150+e^3 (-50-50 x)) \log ^2(3+e^3 (1+x))}{3 x^3+e^3 (x^3+x^4)} \, dx\) [1712]
3.18.13
\(\int \genfrac {}{}{}{}{1}{256} (e^{2 x} (-9-18 x)+512 x-27 x^2+e^x (-36 x-18 x^2)) \, dx\) [1713]
3.18.14
\(\int \genfrac {}{}{}{}{e^{3+\genfrac {}{}{}{}{e^{2+e^x}}{5}} (4 e^x+e^x (-4+4 x) \log (x)+\genfrac {}{}{}{}{1}{5} e^{2+e^x} (8 e^x x^2-4 e^{2 x} x \log (x)))}{4 x^2-4 e^x x \log (x)+e^{2 x} \log ^2(x)} \, dx\) [1714]
3.18.15
\(\int \genfrac {}{}{}{}{e^{e^2+x^2} (-3-6 x^2)+e^{x^2} (3 x+6 x^3)+e^{e^2} (-1+e^4-3 e^{x^2} x) \log (-1+e^4-3 e^{x^2} x)+(-1+e^4-3 e^{x^2} x) \log (-1+e^4-3 e^{x^2} x) \log (\log (-1+e^4-3 e^{x^2} x))}{(x^2-e^4 x^2+3 e^{x^2} x^3) \log (-1+e^4-3 e^{x^2} x)+(2 x-2 e^4 x+6 e^{x^2} x^2) \log (-1+e^4-3 e^{x^2} x) \log (\log (-1+e^4-3 e^{x^2} x))+(1-e^4+3 e^{x^2} x) \log (-1+e^4-3 e^{x^2} x) \log ^2(\log (-1+e^4-3 e^{x^2} x))} \, dx\) [1715]
3.18.16
\(\int \genfrac {}{}{}{}{25+16 x^2+8 x^3}{16 x^2} \, dx\) [1716]
3.18.17
\(\int \genfrac {}{}{}{}{2 x+e^{e^5} x+25 e^{-2 e^{1+x}} (-4 e^{1+3 e^5+x}+e^{1+2 e^5+x} (-24+12 x)+e^{1+e^5+x} (-48+48 x-12 x^2)+e^{1+x} (-32+48 x-24 x^2+4 x^3))+5 e^{-e^{1+x}} (8-4 x+e^{2 e^5} (2-2 e^{1+x} x)+e^{1+x} (-8 x+8 x^2-2 x^3)+e^{e^5} (8-2 x+e^{1+x} (-8 x+4 x^2)))}{16+2 e^{3 e^5}+e^{2 e^5} (12-6 x)-24 x+12 x^2-2 x^3+e^{e^5} (24-24 x+6 x^2)} \, dx\) [1717]
3.18.18
\(\int \genfrac {}{}{}{}{-256-512 x-256 x^2+(-64+64 x^2) \log (x^2)}{5 x^2 \log ^3(x^2)} \, dx\) [1718]
3.18.19
\(\int \genfrac {}{}{}{}{-50+185 x-60 x^2-100 x^3}{3 x+14 x^2-7 x^3-10 x^4+e^4 (15-5 x-10 x^2)+(3-x-2 x^2) \log (-1+x)+(-15+5 x+10 x^2) \log (3+2 x)} \, dx\) [1719]
3.18.20
\(\int (16 x^3+e^{2 x+2 x^3} (2+6 x^2)-16 x^3 \log (5)+4 x^3 \log ^2(5)+e^{x+x^3} (8 x+4 x^2+12 x^4+(-4 x-2 x^2-6 x^4) \log (5))) \, dx\) [1720]
3.18.21
\(\int \genfrac {}{}{}{}{-8 x-2 x^2+(16+12 x+2 x^2-48 x^3-36 x^4-6 x^5) \log (2+x)+(8+6 x+x^2-24 x^3-18 x^4-3 x^5) \log ^2(2+x)+((-16 x^3-8 x^4) \log (2+x)+(-8 x^3-4 x^4) \log ^2(2+x)+((16+8 x) \log (2+x)+(8+4 x) \log ^2(2+x)) \log (\genfrac {}{}{}{}{2 x+x \log (2+x)}{\log (2+x)})) \log (-x^3+\log (\genfrac {}{}{}{}{2 x+x \log (2+x)}{\log (2+x)}))}{(-64 x^3-64 x^4-20 x^5-2 x^6) \log (2+x)+(-32 x^3-32 x^4-10 x^5-x^6) \log ^2(2+x)+((64+64 x+20 x^2+2 x^3) \log (2+x)+(32+32 x+10 x^2+x^3) \log ^2(2+x)) \log (\genfrac {}{}{}{}{2 x+x \log (2+x)}{\log (2+x)})} \, dx\) [1721]
3.18.22
\(\int \genfrac {}{}{}{}{20+5 x-2 x^2+(5-x) \log (5-x)}{-10+2 x} \, dx\) [1722]
3.18.23
\(\int \genfrac {}{}{}{}{-24+e^x (-40-40 x)-38 x-45 x^2-10 x^3}{(4+20 e^x+20 x+5 x^2) \log ^2(\genfrac {}{}{}{}{1}{20} e^{x+x^2} (4+20 e^x+20 x+5 x^2))} \, dx\) [1723]
3.18.24
\(\int \genfrac {}{}{}{}{1}{5} (4-e^x x+e^x (-2 x-x^2) \log (10 x)) \, dx\) [1724]
3.18.25
\(\int \genfrac {}{}{}{}{-10 e^6 \log (5)+e^x (10+e^3 (20-10 x)-5 x) \log (5)+e^{2 x} (-10+10 x) \log (5)}{6 x^3} \, dx\) [1725]
3.18.26
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{3}{3+\log (\genfrac {}{}{}{}{9 x-6 x^2+x^3}{4-8 x+4 x^2})}} (18-36 x+6 x^2+(18-24 x+6 x^2) \log (\genfrac {}{}{}{}{9 x-6 x^2+x^3}{4-8 x+4 x^2})+(3-4 x+x^2) \log ^2(\genfrac {}{}{}{}{9 x-6 x^2+x^3}{4-8 x+4 x^2}))}{27-36 x+9 x^2+(18-24 x+6 x^2) \log (\genfrac {}{}{}{}{9 x-6 x^2+x^3}{4-8 x+4 x^2})+(3-4 x+x^2) \log ^2(\genfrac {}{}{}{}{9 x-6 x^2+x^3}{4-8 x+4 x^2})} \, dx\) [1726]
3.18.27
\(\int \genfrac {}{}{}{}{3 x+2 x^2+(4 e^{2 e}+e^e (9 x+6 x^2)) \log (x)+e^{2 e} (-2+9 x+6 x^2) \log ^2(x)+e^{3 e} (-2+3 x+2 x^2) \log ^3(x)}{2 x^2+6 e^e x^2 \log (x)+6 e^{2 e} x^2 \log ^2(x)+2 e^{3 e} x^2 \log ^3(x)} \, dx\) [1727]
3.18.28
\(\int \genfrac {}{}{}{}{2+e^{e^{x^2}} (-2+e^{x^2} (-16 x-4 x^2))}{e} \, dx\) [1728]
3.18.29
\(\int \genfrac {}{}{}{}{-2 x^2+60 x^3+e^{\genfrac {}{}{}{}{-1-3 x+2 x^2}{2 x}} (5+10 x^2)}{10 e^{\genfrac {}{}{}{}{-1-3 x+2 x^2}{2 x}} x^2-2 x^3+30 x^4} \, dx\) [1729]
3.18.30
\(\int \genfrac {}{}{}{}{8-5 x^2-e x^2+4 e^{-e^2} x^2-2 x^3}{2 x^2} \, dx\) [1730]
3.18.31
\(\int \genfrac {}{}{}{}{-37 x^2+e^{x^2} (-1+37 x+2 x^2)}{e^{x^2} x-x^2+(e^{x^2} x-x^2) \log (\genfrac {}{}{}{}{e^{37 x+x^2}-e^{37 x} x}{x})} \, dx\) [1731]
3.18.32
\(\int \genfrac {}{}{}{}{-3 x^4 \log ^2(4)-6 x^4 \log ^2(4) \log (x)+(-96+18 x^4 \log ^2(4)) \log ^2(x)}{x^7 \log ^2(4) \log ^2(x)} \, dx\) [1732]
3.18.33
\(\int \genfrac {}{}{}{}{8 x+e^{x^2} (8+16 x-16 x^2-16 x^3)+(8+16 x) \log (x)}{x+x^2+e^{x^2} (x+x^2)+(x+x^2) \log (x)} \, dx\) [1733]
3.18.34
\(\int \genfrac {}{}{}{}{80 x^2-10 x^4+e^4 (-64+96 x-180 x^2+204 x^3-105 x^4+24 x^5-2 x^6)}{e^4 (128 x^2-192 x^3+104 x^4-24 x^5+2 x^6)} \, dx\) [1734]
3.18.35
\(\int \genfrac {}{}{}{}{-36 x-x^4+e^x (36+x^3)+(-e^x x^3+x^4) \log (x)+(2 x^5-2 e^x x^5+(-x^5+e^x x^5) \log (3 e^{\genfrac {}{}{}{}{9}{x^4}})+(x^4-e^x x^4) \log (x)) \log (\genfrac {}{}{}{}{-2 x+x \log (3 e^{\genfrac {}{}{}{}{9}{x^4}})-\log (x)}{x})}{-2 e^{2 x} x^5+4 e^x x^6-2 x^7+(e^{2 x} x^5-2 e^x x^6+x^7) \log (3 e^{\genfrac {}{}{}{}{9}{x^4}})+(-e^{2 x} x^4+2 e^x x^5-x^6) \log (x)} \, dx\) [1735]
3.18.36
\(\int \genfrac {}{}{}{}{-972-648 x+(3888+3564 x+756 x^2) \log (3)+(-5832-6804 x-2592 x^2-324 x^3) \log ^2(3)+(3888+5508 x+2916 x^2+684 x^3+60 x^4) \log ^3(3)+(-972-1620 x-1080 x^2-360 x^3-60 x^4-4 x^5) \log ^4(3)}{243 x^5+405 x^6+270 x^7+90 x^8+15 x^9+x^{10}} \, dx\) [1736]
3.18.37
\(\int \genfrac {}{}{}{}{-153600+(320 x+800 x^2) \log (3)-x^4 \log ^2(3)}{153600-800 x^2 \log (3)+x^4 \log ^2(3)} \, dx\) [1737]
3.18.38
\(\int \genfrac {}{}{}{}{5-25 x-108 x^2-180 x^3+36 x^2 \log (x)+(15-11 x-60 x^2+(-5+12 x) \log (x)) \log (3+5 x-\log (x))+(-3-5 x+\log (x)) \log ^2(3+5 x-\log (x))}{360 x^2+168 x^3-720 x^4+(-120 x^2+144 x^3) \log (x)+(60 x-44 x^2-240 x^3+(-20 x+48 x^2) \log (x)) \log (3+5 x-\log (x))+(-12 x-20 x^2+4 x \log (x)) \log ^2(3+5 x-\log (x))} \, dx\) [1738]
3.18.39
\(\int \genfrac {}{}{}{}{-16 x^2-16 e^2 x^2+16 x^3+e^x (16 x-16 x^3+e^2 (-32+16 x^2))+e^x (e^2 (16-16 x)-16 x+16 x^2) \log (e^2-x)}{e^{2 x} (e^2-x)+e^2 x^2-x^3+e^x (2 e^2 x-2 x^2)} \, dx\) [1739]
3.18.40
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{125 x^2+25 e^x x^2 (i \pi +\log (3))+25 x^3 (i \pi +\log (3))-25 x^2 (i \pi +\log (3)) \log (x)}{\log (2)}} (250 x+e^x (50 x+25 x^2) (i \pi +\log (3))+(-25 x+75 x^2) (i \pi +\log (3))-50 x (i \pi +\log (3)) \log (x))}{\log (2)} \, dx\) [1740]
3.18.41
\(\int \genfrac {}{}{}{}{-2 x-2 x^2+e^x (2+2 x)+e^x (-2-2 x) \log (\genfrac {}{}{}{}{1+x}{5})+\log (\genfrac {}{}{}{}{x^2}{3}) (-2 x-2 x^2+e^x (1+x+x^2)+e^x (-1-2 x-x^2) \log (\genfrac {}{}{}{}{1+x}{5})) \log (\log (\genfrac {}{}{}{}{x^2}{3}))}{(1+x) \log (\genfrac {}{}{}{}{x^2}{3})} \, dx\) [1741]
3.18.42
\(\int -\genfrac {}{}{}{}{80 \log (x^2)}{x+4 x \log ^2(x^2)+4 x \log ^4(x^2)} \, dx\) [1742]
3.18.43
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{4+x-x^2}{x}} (-4-x)-x^3}{(e^{\genfrac {}{}{}{}{4+x-x^2}{x}} x^2-x^3) \log (\genfrac {}{}{}{}{e^{e^3+x} (-e^{\genfrac {}{}{}{}{4+x-x^2}{x}}+x)}{x})} \, dx\) [1743]
3.18.44
\(\int \genfrac {}{}{}{}{\genfrac {}{}{}{}{5 (12-6 e^x-18 x)}{e^2}+\genfrac {}{}{}{}{25 (-200+297 x+18 x^2+e^x (109+6 x))}{e^4}+\genfrac {}{}{}{}{25 (8-4 e^x-12 x) \log (e^x+x)}{e^4}}{9 e^x+9 x+\genfrac {}{}{}{}{5 (e^x (-300-18 x)-300 x-18 x^2)}{e^2}+\genfrac {}{}{}{}{25 (2500 x+309 x^2+9 x^3+e^x (2500+309 x+9 x^2))}{e^4}+(\genfrac {}{}{}{}{5 (12 e^x+12 x)}{e^2}+\genfrac {}{}{}{}{25 (e^x (-200-12 x)-200 x-12 x^2)}{e^4}) \log (e^x+x)+\genfrac {}{}{}{}{25 (4 e^x+4 x) \log ^2(e^x+x)}{e^4}} \, dx\) [1744]
3.18.45
\(\int (e^{4+x^2} (-5-10 x^2)+e^{2 x^2} (5+20 x^2)+5 \log (3)) \, dx\) [1745]
3.18.46
\(\int \genfrac {}{}{}{}{131072+(-65536 x+4 x^3+2 x^4) \log (x)+(-65536-12 x^2-6 x^3) \log (x) \log (\log (x))+(12 x+6 x^2) \log (x) \log ^2(\log (x))+(-4-2 x) \log (x) \log ^3(\log (x))}{-\sqrt [3]{e} x^3 \log (x)+3 \sqrt [3]{e} x^2 \log (x) \log (\log (x))-3 \sqrt [3]{e} x \log (x) \log ^2(\log (x))+\sqrt [3]{e} \log (x) \log ^3(\log (x))} \, dx\) [1746]
3.18.47
\(\int \genfrac {}{}{}{}{6-3 x-3 \log (\genfrac {}{}{}{}{e^x}{27 x^2})}{10 x^2 \log ^2(\genfrac {}{}{}{}{e^x}{27 x^2})} \, dx\) [1747]
3.18.48
\(\int \genfrac {}{}{}{}{1}{2} (-6+9 x+2 \log ^2(16)) \, dx\) [1748]
3.18.49
\(\int (2 x+e^{e^{-x+x^2+8 x^7+16 x^{12}}-x} (1-x+e^{-x+x^2+8 x^7+16 x^{12}} (-x+2 x^2+56 x^7+192 x^{12}))) \, dx\) [1749]
3.18.50
\(\int \genfrac {}{}{}{}{-2 e^{679} x^2 \log (2)+2 x \log (2) \log (x)+(-2 \log (2)+2 \log (2) \log (x)) \log (\genfrac {}{}{}{}{e^{679} x-\log (x)}{x})+(e^{679} x \log (2)-\log (2) \log (x)) \log ^2(\genfrac {}{}{}{}{e^{679} x-\log (x)}{x})}{-e^{679} x+\log (x)} \, dx\) [1750]
3.18.51
\(\int \genfrac {}{}{}{}{2}{x} \, dx\) [1751]
3.18.52
\(\int \genfrac {}{}{}{}{-2 e x^8+2 e^x x^8+2 x^9-2 x^8 \log (x)+(x^7-8 x^8-9 x^9+e (8 x^7+8 x^8)+e^x (-8 x^7-9 x^8-x^9)+(8 x^7+8 x^8) \log (x)) \log (2+2 x)}{(1+x) \log ^3(2+2 x)} \, dx\) [1752]
3.18.53
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{2 (12-3 \log (\log (4)))}{9+4 x}} (-162-240 x-32 x^2+24 x \log (\log (4)))+e^{\genfrac {}{}{}{}{12-3 \log (\log (4))}{9+4 x}} (-486 x-720 x^2-96 x^3+72 x^2 \log (\log (4)))}{81 x^3+72 x^4+16 x^5} \, dx\) [1753]
3.18.54
\(\int \genfrac {}{}{}{}{(\genfrac {}{}{}{}{e^x}{2+e^x+x})^{\genfrac {}{}{}{}{2 e^{-3+x^2}}{x}} (e^{-3+x^2} (2 x+2 x^2)+e^{-3+x^2} (-4-2 x+8 x^2+4 x^3+e^x (-2+4 x^2)) \log (\genfrac {}{}{}{}{e^x}{2+e^x+x}))}{2 x^2+e^x x^2+x^3} \, dx\) [1754]
3.18.55
\(\int \genfrac {}{}{}{}{-3 x^2-9 x^2 \log (\genfrac {}{}{}{}{75}{x})+4 x^3 \log ^2(\genfrac {}{}{}{}{75}{x})}{5 \log ^2(\genfrac {}{}{}{}{75}{x})} \, dx\) [1755]
3.18.56
\(\int \genfrac {}{}{}{}{36+21 x+2 x^2+e (12+3 x)}{9 x+3 e x+2 x^2} \, dx\) [1756]
3.18.57
\(\int (-1+e^{e^5}+2 x) \, dx\) [1757]
3.18.58
\(\int \genfrac {}{}{}{}{-1485 x-255 x^2+188 x^3-25 x^4+x^5+(4374-2214 x-330 x^2+211 x^3-26 x^4+x^5+(-2187+162 x^2-24 x^3+x^4) \log (\genfrac {}{}{}{}{5}{3+x})) \log (\genfrac {}{}{}{}{162-118 x+20 x^2-x^3+(-81+18 x-x^2) \log (\genfrac {}{}{}{}{5}{3+x})}{81-18 x+x^2})}{4374-2214 x-330 x^2+211 x^3-26 x^4+x^5+(-2187+162 x^2-24 x^3+x^4) \log (\genfrac {}{}{}{}{5}{3+x})} \, dx\) [1758]
3.18.59
\(\int \genfrac {}{}{}{}{1}{3} (2+3 x-3 x^2+(1-2 x) \log (5)+(-1+2 x) \log (x)) \, dx\) [1759]
3.18.60
\(\int \genfrac {}{}{}{}{-50+6 e^4-6 \log (4)+6 \log (x^2)+(-8+e^4-\log (4)+\log (x^2)) \log (-\genfrac {}{}{}{}{5 x}{-8+e^4-\log (4)+\log (x^2)})}{-24+3 e^4-3 \log (4)+3 \log (x^2)} \, dx\) [1760]
3.18.61
\(\int \genfrac {}{}{}{}{26+128 x-520 x^3-576 x^4-96 x^5-4 x^6+e^4 (-8 x+32 x^3+4 x^4)}{x^3} \, dx\) [1761]
3.18.62
\(\int \genfrac {}{}{}{}{4+\log (x)}{x^2} \, dx\) [1762]
3.18.63
\(\int \genfrac {}{}{}{}{e^{-4 x} (-2-4 x)}{x^3} \, dx\) [1763]
3.18.64
\(\int (2+e^7+x+(e^7+2 x) \log (4 x)) \, dx\) [1764]
3.18.65
\(\int \genfrac {}{}{}{}{e^{-4 x} (288 x-576 x^2+(-2880 x+5760 x^2-1152 x^3+1152 x^4) \log (5)+(7200 x-14400 x^2+5760 x^3-5760 x^4+864 x^5-576 x^6) \log ^2(5))}{25 \log ^2(5)} \, dx\) [1765]
3.18.66
\(\int e^{104976-186624 x+124416 x^2-36864 x^3+4096 x^4} (-186624+248832 x-110592 x^2+16384 x^3) \, dx\) [1766]
3.18.67
\(\int (2+e^{-x^2+x^3+(-x+x^2) \log (3)+(-x-\log (3)) \log (4)} (2 x-3 x^2+(1-2 x) \log (3)+\log (4))) \, dx\) [1767]
3.18.68
\(\int \genfrac {}{}{}{}{-24 x+4 x^2+6 x^3-x^4+(288+40 x-32 x^2-6 x^3) \log (4)+(288+40 x-32 x^2-6 x^3) \log (4+x)}{4 x^4+x^5} \, dx\) [1768]
3.18.69
\(\int \genfrac {}{}{}{}{(2+2 x) \log (\genfrac {}{}{}{}{5}{4 x^3})+(2+4 x+2 x^2) \log ^2(\genfrac {}{}{}{}{5}{4 x^3})+(-3-3 x+x \log (\genfrac {}{}{}{}{5}{4 x^3})) \log (x^2)}{x+(2 x+2 x^2) \log (\genfrac {}{}{}{}{5}{4 x^3})+(x+2 x^2+x^3) \log ^2(\genfrac {}{}{}{}{5}{4 x^3})} \, dx\) [1769]
3.18.70
\(\int \genfrac {}{}{}{}{2-4 x-2 x^2}{-e x-4 x^2-x^3+x \log (25 x^2)} \, dx\) [1770]
3.18.71
\(\int \genfrac {}{}{}{}{-8-18 x-4 \log (5)+e^{1-x} (20 x+4 x^2+8 x \log (5))+x \log (x^2)}{512 x+32 e^{2-2 x} x-256 e^{1-x} x+(-64 x+16 e^{1-x} x) \log (x^2)+2 x \log ^2(x^2)} \, dx\) [1771]
3.18.72
\(\int \genfrac {}{}{}{}{-1-2 x+2 x^2}{-2+2 x} \, dx\) [1772]
3.18.73
\(\int (-1+4 x^3+8 x^3 \log (4)+4 x^3 \log ^2(4)) \, dx\) [1773]
3.18.74
\(\int \genfrac {}{}{}{}{e^{-262144 (4-x)} (-16+(16+4194304 x) \log (x))}{\log ^2(x)} \, dx\) [1774]
3.18.75
\(\int \genfrac {}{}{}{}{-6 x^3+28 x^5-22 x^7+16 x \log (3)+(2 x^3-4 x^5+2 x^7+16 x \log (3)) \log (\genfrac {}{}{}{}{1}{64} (x^4-4 x^6+6 x^8-4 x^{10}+x^{12}+(16 x^2-32 x^4+16 x^6) \log (3)+64 \log ^2(3)))}{x^2-2 x^4+x^6+8 \log (3)+(3 x^2-6 x^4+3 x^6+24 \log (3)) \log (\genfrac {}{}{}{}{1}{64} (x^4-4 x^6+6 x^8-4 x^{10}+x^{12}+(16 x^2-32 x^4+16 x^6) \log (3)+64 \log ^2(3)))+(3 x^2-6 x^4+3 x^6+24 \log (3)) \log ^2(\genfrac {}{}{}{}{1}{64} (x^4-4 x^6+6 x^8-4 x^{10}+x^{12}+(16 x^2-32 x^4+16 x^6) \log (3)+64 \log ^2(3)))+(x^2-2 x^4+x^6+8 \log (3)) \log ^3(\genfrac {}{}{}{}{1}{64} (x^4-4 x^6+6 x^8-4 x^{10}+x^{12}+(16 x^2-32 x^4+16 x^6) \log (3)+64 \log ^2(3)))} \, dx\) [1775]
3.18.76
\(\int \genfrac {}{}{}{}{8-4 e^{2+x}}{e^{4+x}-2 e^2 x} \, dx\) [1776]
3.18.77
\(\int \genfrac {}{}{}{}{e^{2 x} (15 x^2+20 x^3-4 x^4)+e^{2 x} (24 x+19 x^2-2 x^3) \log (4-x)+e^{2 x} (2 x+2 x^2) \log ^2(4-x)}{-2 x^2+e^{2 x} (12 x^3-2 x^4)+(-4 x+e^{2 x} (12 x^2-x^3)) \log (4-x)+(-2+e^{2 x} x^2) \log ^2(4-x)} \, dx\) [1777]
3.18.78
\(\int \genfrac {}{}{}{}{4}{x} \, dx\) [1778]
3.18.79
\(\int (-80 \log (5)+80 (i \pi +\log (\log (2)))) \, dx\) [1779]
3.18.80
\(\int \genfrac {}{}{}{}{-8 e^3+e^{-3+e^{-6+x}+x}}{16 e^3} \, dx\) [1780]
3.18.81
\(\int \genfrac {}{}{}{}{9+3 e^{e^5 x} x-3 x^2+(-18+18 x^2+e^{e^5 x} (-12 x-6 e^5 x^2)) \log (x) \log (\log (x))}{(27 x^3-27 x^5+e^{3 e^5 x} x^6+9 x^7-x^9+e^{2 e^5 x} (9 x^5-3 x^7)+e^{e^5 x} (27 x^4-18 x^6+3 x^8)) \log (x)} \, dx\) [1781]
3.18.82
\(\int (2 e^2 x+e^{1+3 x} (-64 x^3-48 x^4+96 x^5+48 x^6)+e^{8 x} (96 x^5+128 x^6)+e^{7 x} (384 x^5+448 x^6-512 x^7-448 x^8)+e^{1+2 x} (-32 x^3-16 x^4+96 x^5+32 x^6-64 x^7-16 x^8)+e^{6 x} (576 x^5+576 x^6-1536 x^7-1152 x^8+960 x^9+576 x^{10})+e^{5 x} (384 x^5+320 x^6-1536 x^7-960 x^8+1920 x^9+960 x^{10}-768 x^{11}-320 x^{12})+e^{4 x} (96 x^5+64 x^6-512 x^7-256 x^8+960 x^9+384 x^{10}-768 x^{11}-256 x^{12}+224 x^{13}+64 x^{14}+e (-32 x^3-32 x^4))) \, dx\) [1782]
3.18.83
\(\int \genfrac {}{}{}{}{e^{-e^4+\genfrac {}{}{}{}{e^{-e^4+48 \log ^2(5)} (-1+e^{e^4} (-2 x+2 x^2))}{-x+x^2}+48 \log ^2(5)} (-1+2 x)}{x^2-2 x^3+x^4} \, dx\) [1783]
3.18.84
\(\int \genfrac {}{}{}{}{11 x^2+e^{5+x^2} (5-10 x^2)}{x^2} \, dx\) [1784]
3.18.85
\(\int \genfrac {}{}{}{}{1}{5} (5+4 e^{1+e^{\genfrac {}{}{}{}{1}{5} (1-20 x+4 x^2-\log (4))}-x} (5+e^{\genfrac {}{}{}{}{1}{5} (1-20 x+4 x^2-\log (4))} (20-8 x))) \, dx\) [1785]
3.18.86
\(\int \genfrac {}{}{}{}{126-54 \log (x)+6 \log ^2(x)+e^{\genfrac {}{}{}{}{1}{6} (-30+35 x^2+5 x \log (x))} (80+1120 x+(40-560 x) \log (x)+(-35+70 x) \log ^2(x)+5 \log ^3(x))}{96-48 \log (x)+6 \log ^2(x)} \, dx\) [1786]
3.18.87
\(\int \genfrac {}{}{}{}{-16 x+4 x^3+(-80+20 x^2) \log (3)+(-8 x-12 x^2+2 x^3+x^4+(-40-80 x+10 x^2) \log (3)+(-100-25 x^2) \log ^2(3)) \log (x)+(16-4 x^2+(8+16 x-2 x^2+(40+10 x^2) \log (3)) \log (x)) \log (\genfrac {}{}{}{}{5}{2 x \log ^2(x)})+(-4-x^2) \log (x) \log ^2(\genfrac {}{}{}{}{5}{2 x \log ^2(x)})}{(16-8 x^2+x^4) \log ^2(3) \log (x)} \, dx\) [1787]
3.18.88
\(\int \genfrac {}{}{}{}{x+(-225-i \pi -x-\log (\log (7))) \log (225+i \pi +x+\log (\log (7)))}{(225 x+x^2+x (i \pi +\log (\log (7)))) \log (225+i \pi +x+\log (\log (7)))} \, dx\) [1788]
3.18.89
\(\int \genfrac {}{}{}{}{50 e^{2 x}+100 e^x x+50 x^2+(-100 e^{2 x} x-100 x^2+e^x (-100 x-100 x^2)) \log (x)+(2 x-10 x^2+12 x^3+e^{2 x} (-2-4 x+8 x^2)+e^x (-12 x+8 x^2+8 x^3)) \log ^2(x)+(-4 e^{2 x} x-4 x^2+e^x (-4 x-4 x^2)) \log ^3(x)}{x \log ^2(x)} \, dx\) [1789]
3.18.90
\(\int \genfrac {}{}{}{}{4+2 x^3+x^2 \log (9 e^{2 x})-4 \log (2 x)}{81 x^2+x^3 \log (9 e^{2 x})+4 x \log (2 x)} \, dx\) [1790]
3.18.91
\(\int (-1+e^x (-2+x)) \, dx\) [1791]
3.18.92
\(\int \genfrac {}{}{}{}{3+71 x-48 x^2+8 x^3+x \log (x)}{72 x-48 x^2+8 x^3} \, dx\) [1792]
3.18.93
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{1}{2} (-1-10 x)} (-17-85 x)+e^x (-3 x^2+e^{\genfrac {}{}{}{}{1}{2} (-1-10 x)} (3+18 x))}{3 e^{-1-10 x}-6 e^{\genfrac {}{}{}{}{1}{2} (-1-10 x)} x+3 x^2} \, dx\) [1793]
3.18.94
\(\int (-1+e^{2 x} (3+x)+e^{2 x} (3+8 x+2 x^2) \log (x)+(e^{2 x}+e^{2 x} (1+2 x) \log (x)) \log (\genfrac {}{}{}{}{\log (4)}{2})) \, dx\) [1794]
3.18.95
\(\int \genfrac {}{}{}{}{-45-9 e^2 x}{900 x^3+240 e^2 x^4+16 e^4 x^5} \, dx\) [1795]
3.18.96
\(\int \genfrac {}{}{}{}{1}{5} (1-48 x+12 e^5 x+e^x (-12 x-6 x^2)) \, dx\) [1796]
3.18.97
\(\int \genfrac {}{}{}{}{3065 x^2+(-200-550 x) \log (4)+25 \log ^2(4)+(40 x^2+1100 x^3+(-80 x-210 x^2) \log (4)+10 x \log ^2(4)) \log (x)+(100 x^4+(-8 x^2-20 x^3) \log (4)+x^2 \log ^2(4)) \log ^2(x)}{3025 x^2-550 x \log (4)+25 \log ^2(4)+(1100 x^3-210 x^2 \log (4)+10 x \log ^2(4)) \log (x)+(100 x^4-20 x^3 \log (4)+x^2 \log ^2(4)) \log ^2(x)} \, dx\) [1797]
3.18.98
\(\int \genfrac {}{}{}{}{36+54 x-9 x^2+(18 x-3 x^2) \log (4)}{9-6 x+x^2} \, dx\) [1798]
3.18.99
\(\int \genfrac {}{}{}{}{e^{2 x} (-e^{10}+16 x+15 x^2+e^5 (8+14 x))+e^{2 x} (x^2+2 x^3+e^{10} (1+2 x)+e^5 (2 x+4 x^2)) \log (x)}{64+(16 e^5+16 x) \log (x)+(e^{10}+2 e^5 x+x^2) \log ^2(x)} \, dx\) [1799]
3.18.100
\(\int \genfrac {}{}{}{}{-10+6 x+6 x^2+2 x^3+e^4 (-5+2 x+x^2)+(-5+2 x+x^2) \log (3)}{1+2 x+x^2} \, dx\) [1800]
[
next
] [
prev
] [
prev-tail
] [
front
] [
up
]