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3.19
Integrals 1801 to 1900
3.19.1
\(\int (-2 e^{2 x}-8 x+e^5 (-30 x+51 x^2+16 x^3+100 x^4+24 x^5)) \, dx\) [1801]
3.19.2
\(\int e^{-2 x} (54 x-54 x^2) \log (5) \, dx\) [1802]
3.19.3
\(\int \genfrac {}{}{}{}{-30 x^2+e^{\genfrac {}{}{}{}{25+10 x+x^2}{x}} (-125+5 x^2)+6 x^2 \log (2)}{-75 x^2+5 e^{\genfrac {}{}{}{}{25+10 x+x^2}{x}} x^2-30 x^3+(15 x^2+6 x^3) \log (2)} \, dx\) [1803]
3.19.4
\(\int (\genfrac {}{}{}{}{e^{-5+x}}{3}+2 x) \, dx\) [1804]
3.19.5
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{1}{x}} (112-112 x)-336 x^3}{x} \, dx\) [1805]
3.19.6
\(\int \genfrac {}{}{}{}{e^{x+x^2} (4+e^{\genfrac {}{}{}{}{1}{e^3}} (-1-2 x)+8 x)+e^{x+2 x^2} (-1-x-4 x^2)}{e} \, dx\) [1806]
3.19.7
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{1}{16} (1-8 x+24 x^2-32 x^3+16 x^4+(-4+24 x-48 x^2+32 x^3) \log (\genfrac {}{}{}{}{x^2}{1+x})+(6-24 x+24 x^2) \log ^2(\genfrac {}{}{}{}{x^2}{1+x})+(-4+8 x) \log ^3(\genfrac {}{}{}{}{x^2}{1+x})+\log ^4(\genfrac {}{}{}{}{x^2}{1+x}))} (-2+9 x-8 x^2-8 x^3+16 x^5+(6-15 x-6 x^2+12 x^3+24 x^4) \log (\genfrac {}{}{}{}{x^2}{1+x})+(-6+3 x+12 x^2+12 x^3) \log ^2(\genfrac {}{}{}{}{x^2}{1+x})+(2+3 x+2 x^2) \log ^3(\genfrac {}{}{}{}{x^2}{1+x}))}{4 x+4 x^2} \, dx\) [1807]
3.19.8
\(\int \genfrac {}{}{}{}{-5760+1728 x+180 x^2-36 x^3+(-960+192 x) \log (2)+(2880-576 x) \log (-5 x^2+x^3)}{-45 x^4+9 x^5+(-480 x^2+96 x^3) \log (2)+(-1280+256 x) \log ^2(2)+(1440 x^2-288 x^3+(7680-1536 x) \log (2)) \log (-5 x^2+x^3)+(-11520+2304 x) \log ^2(-5 x^2+x^3)} \, dx\) [1808]
3.19.9
\(\int (e^{3+x} (4-16 x+16 x^2+32 x^3-32 x^4-32 x^5-4 x^6)+e^{3+x} (4-12 x-20 x^2+28 x^3+28 x^4+4 x^5) \log (x)) \, dx\) [1809]
3.19.10
\(\int \genfrac {}{}{}{}{-16 x+4 x^2-4 x^3-4 e^x x^4-9 x^6+(16+4 e^x x^3+9 x^5) \log (x)+(8 x^3-2 x^4+2 x^5+2 e^x x^6+(-8 x^2-2 e^x x^5) \log (x)) \log (e^{e^8+e^x} (x-\log (x)))}{-9 x^6+9 x^5 \log (x)} \, dx\) [1810]
3.19.11
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{e^{15}}{x}} (-36 e^{15}+36 x+(48 e^{15}-48 x) \log (2)+(-16 e^{15}+16 x) \log ^2(2))}{3 x} \, dx\) [1811]
3.19.12
\(\int e^{\genfrac {}{}{}{}{2 (2+(450 x+525 x^2) \log (4))}{x}} (-4+2 x+1050 x^2 \log (4)) \, dx\) [1812]
3.19.13
\(\int \genfrac {}{}{}{}{-e^4-e^e \log ^2(5)+x^2 \log ^2(5)}{x^2 \log ^2(5)} \, dx\) [1813]
3.19.14
\(\int \genfrac {}{}{}{}{2+2 x+x^2+e^{8-2 x} (-1+3 x^2+2 x^3)-\log (7)}{1+2 x+x^2} \, dx\) [1814]
3.19.15
\(\int \genfrac {}{}{}{}{e^x (-32+56 x-32 x^2+4 x^3)}{-64 x^2+48 x^3-12 x^4+x^5} \, dx\) [1815]
3.19.16
\(\int \genfrac {}{}{}{}{64 e x-64 e^4 x-16 e^2 x^3+e^{2 x} (e (4 x-2 x^2)+e^4 (-4 x+2 x^2))+e^x (e^4 (32 x-8 x^2)+e (-32 x+8 x^2)+e^2 (4 x^3-2 x^4))}{-64+48 e^x-12 e^{2 x}+e^{3 x}} \, dx\) [1816]
3.19.17
\(\int \genfrac {}{}{}{}{48+48 e^x+12 e^{2 x}+e^{\genfrac {}{}{}{}{4 e^3+2 x+2 x^2+e^x (x+x^2)}{2+e^x}} (4+8 x+e^{2 x} (1+2 x)+e^x (4-4 e^3+8 x))}{4+4 e^x+e^{2 x}} \, dx\) [1817]
3.19.18
\(\int 2 x \, dx\) [1818]
3.19.19
\(\int \genfrac {}{}{}{}{-18 e^6 x^2+(6 e^3 x^2+e^6 (54 x+18 x^2) \log (3+x)) \log (\log (3+x))+e^3 (-36 x-12 x^2) \log (3+x) \log ^2(\log (3+x))+(27+e^{16-x} (-27-9 x)+15 x+2 x^2) \log (3+x) \log ^3(\log (3+x))}{(27+9 x) \log (3+x) \log ^3(\log (3+x))} \, dx\) [1819]
3.19.20
\(\int \genfrac {}{}{}{}{1}{128} (e^{2 x}-1152 x^2) \, dx\) [1820]
3.19.21
\(\int \genfrac {}{}{}{}{e^{-18+2 \log ^{2 x}(2)} (-1+4 x \log ^{2 x}(2) \log (\log (2)))}{x^2} \, dx\) [1821]
3.19.22
\(\int \genfrac {}{}{}{}{e^8 (-4-20 x) \log ^4(4)}{3125 x+15625 x^2+31250 x^3+31250 x^4+15625 x^5+3125 x^6+(3125 x+12500 x^2+18750 x^3+12500 x^4+3125 x^5) \log (x)+(1250 x+3750 x^2+3750 x^3+1250 x^4) \log ^2(x)+(250 x+500 x^2+250 x^3) \log ^3(x)+(25 x+25 x^2) \log ^4(x)+x \log ^5(x)} \, dx\) [1822]
3.19.23
\(\int \genfrac {}{}{}{}{e^{-\genfrac {}{}{}{}{36 x^2-12 x^2 \log (\genfrac {}{}{}{}{5}{x})+x^2 \log ^2(\genfrac {}{}{}{}{5}{x})+(108 x-30 x \log (\genfrac {}{}{}{}{5}{x})+2 x \log ^2(\genfrac {}{}{}{}{5}{x})) \log (x)+(81-18 \log (\genfrac {}{}{}{}{5}{x})+\log ^2(\genfrac {}{}{}{}{5}{x})) \log ^2(x)}{x^2}} (-216 x-22 x^2+(60 x+4 x^2) \log (\genfrac {}{}{}{}{5}{x})-4 x \log ^2(\genfrac {}{}{}{}{5}{x})+(-324+156 x+(72-52 x) \log (\genfrac {}{}{}{}{5}{x})+(-4+4 x) \log ^2(\genfrac {}{}{}{}{5}{x})) \log (x)+(288-68 \log (\genfrac {}{}{}{}{5}{x})+4 \log ^2(\genfrac {}{}{}{}{5}{x})) \log ^2(x))}{x^2} \, dx\) [1823]
3.19.24
\(\int \genfrac {}{}{}{}{2 e^x x+(4 x^2+e^x (-4 x+2 x^2)) \log (\genfrac {}{}{}{}{x}{2})+(4 x^2-4 x^2 \log (\genfrac {}{}{}{}{x}{2})) \log (x)+(-e^x+(e^x (1-x)-4 x) \log (\genfrac {}{}{}{}{x}{2})+(-4 x+4 x \log (\genfrac {}{}{}{}{x}{2})) \log (x)) \log (\log (\log (4)))+(\log (\genfrac {}{}{}{}{x}{2})+(1-\log (\genfrac {}{}{}{}{x}{2})) \log (x)) \log ^2(\log (\log (4)))}{4 x^4-4 x^3 \log (\log (\log (4)))+x^2 \log ^2(\log (\log (4)))} \, dx\) [1824]
3.19.25
\(\int \genfrac {}{}{}{}{4 x^2-9 x^4+4 x^5+e^3 (-2+2 x^2)+(-4 x+4 x^2+5 x^3-3 x^4) \log (-1-x)}{e^3 (x+x^2)} \, dx\) [1825]
3.19.26
\(\int \genfrac {}{}{}{}{-2+6 x-2 x^2+(3 x^2-x^3+(3-x) \log (\genfrac {}{}{}{}{1}{4} (9-6 x+x^2))) \log (x^2+\log (\genfrac {}{}{}{}{1}{4} (9-6 x+x^2)))}{(-3 x^2+x^3+(-3+x) \log (\genfrac {}{}{}{}{1}{4} (9-6 x+x^2))) \log (x^2+\log (\genfrac {}{}{}{}{1}{4} (9-6 x+x^2)))} \, dx\) [1826]
3.19.27
\(\int \genfrac {}{}{}{}{-72+216 x^2+72 x^5-72 x^7+4 x^9-144 x^{12}+(-72-72 x^3-12 x^7+432 x^{10}) \log (x)+(72 x^3+12 x^5-432 x^8) \log ^2(x)+(-4 x^3+144 x^6) \log ^3(x)}{-x^9+3 x^7 \log (x)-3 x^5 \log ^2(x)+x^3 \log ^3(x)} \, dx\) [1827]
3.19.28
\(\int \genfrac {}{}{}{}{4 e^{e^{x+x \log (x)}+i \pi +x} (1+e^{x+x \log (x)} (2+\log (x)))}{5+5 \log (3)} \, dx\) [1828]
3.19.29
\(\int -e^x \, dx\) [1829]
3.19.30
\(\int \genfrac {}{}{}{}{1}{30} (6+e^{10}) \, dx\) [1830]
3.19.31
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{2+x}{x}} (-32-16 x)+(16 e^{\genfrac {}{}{}{}{2+x}{x}} x+16 x^2) \log (e^{\genfrac {}{}{}{}{2+x}{x}} x+x^2)}{4 e^{\genfrac {}{}{}{}{2+x}{x}} x^3+4 x^4+(-4 e^{\genfrac {}{}{}{}{2+x}{x}} x^3-4 x^4) \log (e^{\genfrac {}{}{}{}{2+x}{x}} x+x^2)+(e^{\genfrac {}{}{}{}{2+x}{x}} x^3+x^4) \log ^2(e^{\genfrac {}{}{}{}{2+x}{x}} x+x^2)} \, dx\) [1831]
3.19.32
\(\int \genfrac {}{}{}{}{2 e^{\genfrac {}{}{}{}{-1+x^2}{x^2}} x^2+2 x^5+e^{2 x} (2 e^{\genfrac {}{}{}{}{-1+x^2}{x^2}}+2 x^3)+e^x (-4 e^{\genfrac {}{}{}{}{-1+x^2}{x^2}} x-4 x^4)+2 (-2 x^3+e^x (x^3+x^4)) \log (\log (5))}{e^{2 x} x^3-2 e^x x^4+x^5} \, dx\) [1832]
3.19.33
\(\int \genfrac {}{}{}{}{-96+208 x^2+x^3-62 x^4-6 x^5+52 x^6+12 x^7+24 x^8-8 x^9-16 x^{10}+(-64+32 x^2+6 x^3-52 x^4-24 x^5-48 x^6+24 x^7+48 x^8) \log (x)+(12 x^3+24 x^4-24 x^5-48 x^6) \log ^2(x)+(8 x^3+16 x^4) \log ^3(x)}{x^3-6 x^5+12 x^7-8 x^9+(6 x^3-24 x^5+24 x^7) \log (x)+(12 x^3-24 x^5) \log ^2(x)+8 x^3 \log ^3(x)} \, dx\) [1833]
3.19.34
\(\int \genfrac {}{}{}{}{e^{e^5} (e^2 (-36-12 x-x^2)+e^{x^2} (-36-12 x-73 x^2-24 x^3-2 x^4))+x^{\genfrac {}{}{}{}{1}{6+x}} (e^{e^5} (42+13 x+x^2)-e^{e^5} x \log (x))}{36+12 x+x^2} \, dx\) [1834]
3.19.35
\(\int \genfrac {}{}{}{}{e^{4 e+x}-3750 x}{e^{4 e} (-27+e^x)-1875 x^2} \, dx\) [1835]
3.19.36
\(\int \genfrac {}{}{}{}{1}{10} (-22 x-5 \log (x^2)) \, dx\) [1836]
3.19.37
\(\int \genfrac {}{}{}{}{1}{2} (-94-188 x+94 \log (5)+e^x (-47-94 x-47 x^2+(47+47 x) \log (5))+(-94+e^x (-47-47 x)) \log (x)) \, dx\) [1837]
3.19.38
\(\int e^{-2+2 e^{4 e^x}-2 x} x^2 (2 x-x^2+4 e^{4 e^x+x} x^2) \, dx\) [1838]
3.19.39
\(\int \genfrac {}{}{}{}{75 x-90 x^2-30 x^4-24 x^5-3 x^8+e^x (125 x-25 x^2+50 x^4-10 x^5+5 x^7-x^8)+(-125+50 x-50 x^3+20 x^4-5 x^6+2 x^7) \log (\genfrac {}{}{}{}{1}{3} e^{\genfrac {}{}{}{}{3 x+e^x (5+x^3)}{5+x^3}})}{100 x^2-100 x^3+25 x^4+40 x^5-40 x^6+10 x^7+4 x^8-4 x^9+x^{10}+(100 x-50 x^2+40 x^4-20 x^5+4 x^7-2 x^8) \log (\genfrac {}{}{}{}{1}{3} e^{\genfrac {}{}{}{}{3 x+e^x (5+x^3)}{5+x^3}})+(25+10 x^3+x^6) \log ^2(\genfrac {}{}{}{}{1}{3} e^{\genfrac {}{}{}{}{3 x+e^x (5+x^3)}{5+x^3}})} \, dx\) [1839]
3.19.40
\(\int \genfrac {}{}{}{}{425-275 x-125 x^2-25 x^3+(300+600 x+300 x^2) \log (5-x)+(-125-225 x-75 x^2+25 x^3) \log ^2(5-x)}{-5-9 x-3 x^2+x^3} \, dx\) [1840]
3.19.41
\(\int \genfrac {}{}{}{}{-2352-532 x+292 x^2-24 x^3+(-392-84 x+48 x^2-4 x^3) \log (9 x)+(-56-28 x) \log (2+x)}{2450 x^2+525 x^3-300 x^4+25 x^5+(98 x^2+21 x^3-12 x^4+x^5) \log ^2(9 x)+(140 x^2+50 x^3-10 x^4) \log (2+x)+(2 x^2+x^3) \log ^2(2+x)+\log (9 x) (980 x^2+210 x^3-120 x^4+10 x^5+(28 x^2+10 x^3-2 x^4) \log (2+x))} \, dx\) [1841]
3.19.42
\(\int (e^x (-3-3 x)+3 x+6 e^3 x+6 x \log (x)) \, dx\) [1842]
3.19.43
\(\int \genfrac {}{}{}{}{-4+2 x-7 x^2-4 x^3+x^4+2 x^5-2 x \log (\log (4))}{1-2 x^2+x^4} \, dx\) [1843]
3.19.44
\(\int \genfrac {}{}{}{}{-2+\log (-x^2)}{\log ^2(-x^2)} \, dx\) [1844]
3.19.45
\(\int \genfrac {}{}{}{}{-e^{5 x} x^5+e^{10 x} (-3 x^4+x^5-x^6)+(e^{10 x} (15 x^4-4 x^5+3 x^6)+e^{5 x} (4 x^5+5 x^6)) \log (x)}{(e^{5 x} x^6+e^{10 x} (3 x^5-x^6+x^7)) \log (x)+(2 x^2+e^{5 x} (12 x-4 x^2+4 x^3)+e^{10 x} (18-12 x+14 x^2-4 x^3+2 x^4)) \log ^2(x)} \, dx\) [1845]
3.19.46
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{15+e^{e^{-4+x}} (-15+3 x)}{-12+e-3 x}} (45+e^{e^{-4+x}} (-81+3 e+e^{-4+x} (180+9 x-9 x^2+e (-15+3 x))))}{144+e^2+e (-24-6 x)+72 x+9 x^2} \, dx\) [1846]
3.19.47
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{(64-32 x+260 x^2+208 x^4+136 x^5-48 x^6-16 x^7+4 x^8) \log ^2(3)}{x^2}} (-128+32 x+416 x^4+408 x^5-192 x^6-80 x^7+24 x^8) \log ^2(3)}{x^3} \, dx\) [1847]
3.19.48
\(\int \genfrac {}{}{}{}{-e^{\genfrac {}{}{}{}{1+30 x}{2 x^2}} x^2+e^{\genfrac {}{}{}{}{1+30 x}{2 x^2}} (-1-15 x+x^2) \log (x)+(-x^2+e^{\genfrac {}{}{}{}{1+30 x}{2 x^2}} (-1-15 x+x^2)) \log ^2(x)}{x^2 \log ^2(x)} \, dx\) [1848]
3.19.49
\(\int \genfrac {}{}{}{}{1}{2} (2 e^x+e^{\genfrac {}{}{}{}{1}{4} (-40 x+7 x^2+4 x \log (2 x))} (-18+7 x+2 \log (2 x))) \, dx\) [1849]
3.19.50
\(\int 100 e^{-2-25 x^2} x \, dx\) [1850]
3.19.51
\(\int \genfrac {}{}{}{}{e^4 (-42-60 x)-486 x^2-1620 x^3-2160 x^4-1440 x^5-480 x^6-64 x^7+(-6 e^4-810 x^2-2160 x^3-2160 x^4-960 x^5-160 x^6) \log (x)+(-540 x^2-1080 x^3-720 x^4-160 x^5) \log ^2(x)+(-180 x^2-240 x^3-80 x^4) \log ^3(x)+(-30 x^2-20 x^3) \log ^4(x)-2 x^2 \log ^5(x)}{243 x^2+810 x^3+1080 x^4+720 x^5+240 x^6+32 x^7+(405 x^2+1080 x^3+1080 x^4+480 x^5+80 x^6) \log (x)+(270 x^2+540 x^3+360 x^4+80 x^5) \log ^2(x)+(90 x^2+120 x^3+40 x^4) \log ^3(x)+(15 x^2+10 x^3) \log ^4(x)+x^2 \log ^5(x)} \, dx\) [1851]
3.19.52
\(\int \genfrac {}{}{}{}{3-11 x-3 x^2+72 x^5+24 x^6+(6 x+2 x^2) \log (3+x)}{3 x-5 x^2-2 x^3+12 x^6+4 x^7+(3 x^2+x^3) \log (3+x)} \, dx\) [1852]
3.19.53
\(\int (1+3 x+4 x^3+e^3 (12 x+16 x^3)+(2 x+8 e^3 x) \log (x)) \, dx\) [1853]
3.19.54
\(\int \genfrac {}{}{}{}{1}{2} (6 e^{6 x^2} x+(i \pi +\log (5))^2) \, dx\) [1854]
3.19.55
\(\int \genfrac {}{}{}{}{5 x+e^{7+x} x (5+5 x)}{x} \, dx\) [1855]
3.19.56
\(\int \genfrac {}{}{}{}{10 e^{36 x^4}+x^2 \log (4 x^2)+e^{36 x^4} (-5+720 x^4) \log (4 x^2) \log (\log (4 x^2))}{x^2 \log (4 x^2)} \, dx\) [1856]
3.19.57
\(\int (64 x-32 x \log (2)+e^{2 x} (64-32 \log (2)-32 \log (15))-32 x \log (15)+e^x (-64-64 x+(32+32 x) \log (2)+(32+32 x) \log (15))) \, dx\) [1857]
3.19.58
\(\int \genfrac {}{}{}{}{2-4 x+2 x^2-6 x^3-6 x^4-4 x^5}{x^3-4 x^4-3 x^5-2 x^6+(-x+4 x^2+3 x^3+2 x^4) \log (\genfrac {}{}{}{}{-1+4 x+3 x^2+2 x^3}{2 x^2})} \, dx\) [1858]
3.19.59
\(\int \genfrac {}{}{}{}{x^4+x^5+4 x^4 \log (3)+(x^4-12 x^5-7 x^6-24 x^5 \log (3)) \log (x)+5 x^4 \log ^2(x)+(5 x^4+6 x^5+20 x^4 \log (3)) \log (x) \log (\log (x))}{\log (x)} \, dx\) [1859]
3.19.60
\(\int e^{81 x+e^{100 x-4 x^3} x-12 e^{75 x-3 x^3} x+54 e^{50 x-2 x^3} x-108 e^{25 x-x^3} x} (81+e^{50 x-2 x^3} (54+2700 x-324 x^3)+e^{100 x-4 x^3} (1+100 x-12 x^3)+e^{75 x-3 x^3} (-12-900 x+108 x^3)+e^{25 x-x^3} (-108-2700 x+324 x^3)) \, dx\) [1860]
3.19.61
\(\int \genfrac {}{}{}{}{1332+e^{20+4 e^3} x^4+e^{10} (5751 x^2+1260 x^3+69 x^4)+e^{20+3 e^3} (-36 x^4-4 x^5)+e^{20} (6561 x^4+2916 x^5+486 x^6+36 x^7+x^8)+e^{2 e^3} (71 e^{10} x^2+e^{20} (486 x^4+108 x^5+6 x^6))+e^{e^3} (e^{10} (-1278 x^2-140 x^3)+e^{20} (-2916 x^4-972 x^5-108 x^6-4 x^7))}{1296+e^{20+4 e^3} x^4+e^{10} (5832 x^2+1296 x^3+72 x^4)+e^{20+3 e^3} (-36 x^4-4 x^5)+e^{20} (6561 x^4+2916 x^5+486 x^6+36 x^7+x^8)+e^{2 e^3} (72 e^{10} x^2+e^{20} (486 x^4+108 x^5+6 x^6))+e^{e^3} (e^{10} (-1296 x^2-144 x^3)+e^{20} (-2916 x^4-972 x^5-108 x^6-4 x^7))} \, dx\) [1861]
3.19.62
\(\int \genfrac {}{}{}{}{-88-22 x+x^2}{5808+396 x-216 x^2+12 x^3+(528 x+84 x^2-12 x^3) \log (4+x)+(12 x^2+3 x^3) \log ^2(4+x)} \, dx\) [1862]
3.19.63
\(\int e^{25+e^2+e^{2 e^3+2 e^4}-x-4 e^{e^3+2 e^4} x+4 e^{2 e^4} x^2} (-1-4 e^{e^3+2 e^4}+8 e^{2 e^4} x) \, dx\) [1863]
3.19.64
\(\int \genfrac {}{}{}{}{4-98 x^2+8 x^2 \log (\genfrac {}{}{}{}{x}{4})}{-49 x+4 x \log (\genfrac {}{}{}{}{x}{4})} \, dx\) [1864]
3.19.65
\(\int \genfrac {}{}{}{}{32-72 x+72 x^2-30 x^3+4 x^4+(8 x-20 x^2+2 x^3+2 x^4) \log (x^2)}{(16 x-36 x^2+36 x^3-15 x^4+2 x^5) \log (x^2)} \, dx\) [1865]
3.19.66
\(\int \genfrac {}{}{}{}{(2+e^x+x)^{\genfrac {}{}{}{}{1}{2 \log (\genfrac {}{}{}{}{1}{4} (-12+x))}} ((-12+e^x (-12+x)+x) \log (\genfrac {}{}{}{}{1}{4} (-12+x))+(-2-e^x-x) \log (2+e^x+x))}{(-48-20 x+2 x^2+e^x (-24+2 x)) \log ^2(\genfrac {}{}{}{}{1}{4} (-12+x))} \, dx\) [1866]
3.19.67
\(\int \genfrac {}{}{}{}{5 x^3+135 e^{12-3 e^x} x^3+135 e^{8-2 e^x} x^3+45 e^{4-e^x} x^3+e^{\genfrac {}{}{}{}{2}{5 x^2+45 e^{8-2 e^x} x^2+30 e^{4-e^x} x^2}} (-4+e^{4-e^x} (-12+12 e^x x))+e^{\genfrac {}{}{}{}{1}{5 x^2+45 e^{8-2 e^x} x^2+30 e^{4-e^x} x^2}} (-8+e^{4-e^x} (-24+24 e^x x))}{5 x^3+135 e^{12-3 e^x} x^3+135 e^{8-2 e^x} x^3+45 e^{4-e^x} x^3} \, dx\) [1867]
3.19.68
\(\int \genfrac {}{}{}{}{-648+474 x-60 x^2+2 x^3+(288-72 x+4 x^2) \log (\genfrac {}{}{}{}{1}{3} (-12+x))+(-24+2 x) \log ^2(\genfrac {}{}{}{}{1}{3} (-12+x))}{-972+297 x-30 x^2+x^3+(216-42 x+2 x^2) \log (\genfrac {}{}{}{}{1}{3} (-12+x))+(-12+x) \log ^2(\genfrac {}{}{}{}{1}{3} (-12+x))} \, dx\) [1868]
3.19.69
\(\int \genfrac {}{}{}{}{e^{-5-x} (-1+x-2 x^2+x^3-(-1+x) \log (\genfrac {}{}{}{}{7}{4})+e^{5+x} (1-6 x+11 x^2-6 x^3+x^4-(2-6 x+2 x^2) \log (\genfrac {}{}{}{}{7}{4})+\log ^2(\genfrac {}{}{}{}{7}{4})))}{1-6 x+11 x^2-6 x^3+x^4-(2-6 x+2 x^2) \log (\genfrac {}{}{}{}{7}{4})+\log ^2(\genfrac {}{}{}{}{7}{4})} \, dx\) [1869]
3.19.70
\(\int -\genfrac {}{}{}{}{40}{40 x+11 x^2} \, dx\) [1870]
3.19.71
\(\int \genfrac {}{}{}{}{1}{4} (-8 x-12 x^2+e^4 (-4 x-3 x^2)+e^4 (-4-4 x) \log (5)) \, dx\) [1871]
3.19.72
\(\int \genfrac {}{}{}{}{e^x (-2-2 x+2 x^2+2 x^3)+e^{\genfrac {}{}{}{}{5 e^{e^x} x-2 x^2-2 x^3}{2+2 x}} (e^x (2+8 x+10 x^2+4 x^3)+e^{e^x} (-5 e^x+e^{2 x} (-5 x-5 x^2)))}{8 x^2+16 x^3+8 x^4+e^{\genfrac {}{}{}{}{2 (5 e^{e^x} x-2 x^2-2 x^3)}{2+2 x}} (8+16 x+8 x^2)+e^{\genfrac {}{}{}{}{5 e^{e^x} x-2 x^2-2 x^3}{2+2 x}} (16 x+32 x^2+16 x^3)} \, dx\) [1872]
3.19.73
\(\int \genfrac {}{}{}{}{-135+750 x-81 x^2+477 x^3-150 x^4+(-810 x^2+2655 x^3-1125 x^4+(-162 x^2+531 x^3-225 x^4) \log (\genfrac {}{}{}{}{1}{9} (-9 x+25 x^2))) \log (5+\log (\genfrac {}{}{}{}{1}{9} (-9 x+25 x^2)))}{-45 x+125 x^2+(-9 x+25 x^2) \log (\genfrac {}{}{}{}{1}{9} (-9 x+25 x^2))} \, dx\) [1873]
3.19.74
\(\int \genfrac {}{}{}{}{4+4 x+2 x^2}{-2 x^2-x^3+(2 x+x^2) \log (\genfrac {}{}{}{}{4+2 x}{x})} \, dx\) [1874]
3.19.75
\(\int e^{-x-e^{-x} (10 x^2+2 x^3) \log ^2(5)} (e^x+(-20 x^2+4 x^3+2 x^4) \log ^2(5)) \, dx\) [1875]
3.19.76
\(\int \genfrac {}{}{}{}{-39-83 x+24 x^2+43 x^3-4 x^5+(18 x+3 x^2-9 x^3-3 x^4) \log (-3+x+x^2)}{-15+5 x+5 x^2} \, dx\) [1876]
3.19.77
\(\int e^{-x} (-18+x-x^2+e^5 (20-18 x-x^2)) \, dx\) [1877]
3.19.78
\(\int \genfrac {}{}{}{}{-1+e^x x}{x} \, dx\) [1878]
3.19.79
\(\int \genfrac {}{}{}{}{e^{1+e^{x^2} x+e^{x^2} \log (\genfrac {}{}{}{}{x^2}{256+x^2})} (e^{x^2} (512+256 x+513 x^3+2 x^5)+e^{x^2} (512 x^2+2 x^4) \log (\genfrac {}{}{}{}{x^2}{256+x^2}))}{256 x+x^3} \, dx\) [1879]
3.19.80
\(\int \genfrac {}{}{}{}{78+26 x+e^x (-6-5 x-2 x^2)+(-12-4 x) \log (3)}{169 x^3+e^{2 x} x^3-52 x^3 \log (3)+4 x^3 \log ^2(3)+e^x (-26 x^3+4 x^3 \log (3))} \, dx\) [1880]
3.19.81
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{11 e^{\genfrac {}{}{}{}{-4+9 x}{3 x}}}{8+x}+\genfrac {}{}{}{}{-4+9 x}{3 x}} (352+44 x-33 x^2)}{576 x^2+144 x^3+9 x^4} \, dx\) [1881]
3.19.82
\(\int \genfrac {}{}{}{}{-2 e^x x+(16+8 e^x) \log (18+9 e^x)+(4+2 e^x) \log (18+9 e^x) \log (\log (18+9 e^x))}{(160+80 x+10 x^2+e^x (80+40 x+5 x^2)) \log (18+9 e^x)+(80+20 x+e^x (40+10 x)) \log (18+9 e^x) \log (\log (18+9 e^x))+(10+5 e^x) \log (18+9 e^x) \log ^2(\log (18+9 e^x))} \, dx\) [1882]
3.19.83
\(\int \genfrac {}{}{}{}{2+5 x^2+(-2+10 x) \log (x)+5 \log ^2(x)}{-2 x^2+5 x^3+(-2 x+10 x^2) \log (x)+5 x \log ^2(x)} \, dx\) [1883]
3.19.84
\(\int \genfrac {}{}{}{}{-2 e^{5/2}-3 e^5}{4 x^2+e^5 (121+66 x+9 x^2)+e^{5/2} (44 x+12 x^2)} \, dx\) [1884]
3.19.85
\(\int \genfrac {}{}{}{}{-32 e x^5+32 x^6+e^{8 x^2} (-32 x^2+256 x^4+e^2 (-64+256 x^2)+e (96 x-512 x^3))+e^{6 x^2} (64 x^3-768 x^5+e^2 (192 x-768 x^3)+e (-256 x^2+1536 x^4))+e^{4 x^2} (768 x^6+e^2 (-192 x^2+768 x^4)+e (192 x^3-1536 x^5))+e^{2 x^2} (-64 x^5+512 e x^6-256 x^7+e^2 (64 x^3-256 x^5))}{x^5} \, dx\) [1885]
3.19.86
\(\int \genfrac {}{}{}{}{(-\genfrac {}{}{}{}{1}{-3 e^4+3 e^5+3 x})^{x/4} (-4 e^4+4 e^5+4 x-x^2+(-e^4 x+e^5 x+x^2) \log (-\genfrac {}{}{}{}{1}{-3 e^4+3 e^5+3 x}))}{-e^4+e^5+x} \, dx\) [1886]
3.19.87
\(\int \genfrac {}{}{}{}{-32 x-4 e^x x-4 x^2+(16+12 x+2 x^2+e^x (2+3 x+x^2)) \log (16+16 x+4 x^2)+e^{x^2} (4 x+2 x^2) \log ^3(16+16 x+4 x^2)}{(2+x) \log ^3(16+16 x+4 x^2)} \, dx\) [1887]
3.19.88
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{324-72 x+4 x^2+4 e^6 x^2+e^3 (72 x-8 x^2)}{x^4}} (-2592+1728 x-232 x^2+8 x^3-x^5+e^3 (-432 x+248 x^2-16 x^3)+e^6 (-16 x^2+8 x^3))}{x^5} \, dx\) [1888]
3.19.89
\(\int \genfrac {}{}{}{}{10 x-6 x^5+e^x (-5 x+4 x^4-x^5)+e^{\log ^2(x)} (4 x^4+(-10-2 x^4) \log (x))}{25 x+10 x^5+x^9} \, dx\) [1889]
3.19.90
\(\int \genfrac {}{}{}{}{2+x-2 x^2-x \log (16)+(-x+x^2+(-1+x) \log (16)-\log (x^2)) \log (x-x^2+(1-x) \log (16)+\log (x^2)) \log (\log (x-x^2+(1-x) \log (16)+\log (x^2)))+(-x+x^2+(-1+x) \log (16)-\log (x^2)) \log (x-x^2+(1-x) \log (16)+\log (x^2)) \log (\log (x-x^2+(1-x) \log (16)+\log (x^2))) \log (\log (\log (x-x^2+(1-x) \log (16)+\log (x^2))))}{(x^3-x^4+(x^2-x^3) \log (16)+x^2 \log (x^2)) \log (x-x^2+(1-x) \log (16)+\log (x^2)) \log (\log (x-x^2+(1-x) \log (16)+\log (x^2)))} \, dx\) [1890]
3.19.91
\(\int (15 x^3+e^{2+x} (-16 x^3-4 x^4)+e^{4+2 x} (4 x^3+2 x^4)-4 x^3 \log (x)) \, dx\) [1891]
3.19.92
\(\int (5-4 e^{3+x}-2 e^{5/4} x+9 x^2) \, dx\) [1892]
3.19.93
\(\int \genfrac {}{}{}{}{2 x-x^2}{2 e^4 (4-8 x+4 x^2)} \, dx\) [1893]
3.19.94
\(\int (80 x+64 x^3) \, dx\) [1894]
3.19.95
\(\int \genfrac {}{}{}{}{450-141855 x+93650 x^2-15476 x^3+(-11250 x+7470 x^2-1240 x^3) \log (\genfrac {}{}{}{}{e^{2 x}}{x})+(-225 x+150 x^2-25 x^3) \log ^2(\genfrac {}{}{}{}{e^{2 x}}{x})}{562500 x-372000 x^2+61504 x^3+(45000 x-29880 x^2+4960 x^3) \log (\genfrac {}{}{}{}{e^{2 x}}{x})+(900 x-600 x^2+100 x^3) \log ^2(\genfrac {}{}{}{}{e^{2 x}}{x})} \, dx\) [1895]
3.19.96
\(\int \genfrac {}{}{}{}{e^{-2 x} (576+36 x+e^{2 x} (288 x+19 x^2)+(576-1112 x-72 x^2) \log (x)+(64+4 x+e^{2 x} (32 x+2 x^2)+(64-124 x-8 x^2) \log (x)) \log (16+x))}{16+x} \, dx\) [1896]
3.19.97
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{1}{5} (-4-x)} (-180 x^2+42 x^3-3 x^4)}{160-80 x+10 x^2} \, dx\) [1897]
3.19.98
\(\int \genfrac {}{}{}{}{1}{2} e^{-x} (50+(-5+5 x-5 \log (4)) \log (5)) \, dx\) [1898]
3.19.99
\(\int \genfrac {}{}{}{}{e^{2 x} (3-6 x)+3 x+3 x^2}{x^2} \, dx\) [1899]
3.19.100
\(\int \genfrac {}{}{}{}{1-x+e x+2 x^2-3 x^3-x \log (5 x+x \log ^2(5))}{x} \, dx\) [1900]
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