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3.9
Integrals 801 to 900
3.9.1
\(\int \genfrac {}{}{}{}{20480+(-40960-14080 x) \log (x)}{(15129 x-5412 x^2+484 x^3) \log (x)+(-7872 x+1408 x^2) \log (x) \log (\genfrac {}{}{}{}{x^2}{\log (x)})+1024 x \log (x) \log ^2(\genfrac {}{}{}{}{x^2}{\log (x)})} \, dx\) [801]
3.9.2
\(\int \genfrac {}{}{}{}{24 x+16 x^3+e^x (12+8 x^2)+(6 x-40 x^3+e^x (3 x-20 x^3)+(-8 x^3-4 e^x x^3) \log (x)) \log (\genfrac {}{}{}{}{-3+20 x^2+4 x^2 \log (x)}{4 x^2}) \log (\log (\genfrac {}{}{}{}{-3+20 x^2+4 x^2 \log (x)}{4 x^2})) \log (\log ^2(\log (\genfrac {}{}{}{}{-3+20 x^2+4 x^2 \log (x)}{4 x^2})))}{(-12 x^3+80 x^5+e^{2 x} (-3 x+20 x^3)+e^x (-12 x^2+80 x^4)+(4 e^{2 x} x^3+16 e^x x^4+16 x^5) \log (x)) \log (\genfrac {}{}{}{}{-3+20 x^2+4 x^2 \log (x)}{4 x^2}) \log (\log (\genfrac {}{}{}{}{-3+20 x^2+4 x^2 \log (x)}{4 x^2}))} \, dx\) [802]
3.9.3
\(\int \genfrac {}{}{}{}{-1500+525 x+45 x^2-33 x^3+3 x^4+(-375 x+205 x^2-50 x^3+3 x^4) \log (x)}{(-1500 x+525 x^2+45 x^3-33 x^4+3 x^5) \log (x)} \, dx\) [803]
3.9.4
\(\int e^{-16-14 x+2 x^2-2 e^x x^3} (-14+4 x+e^x (-6 x^2-2 x^3)) \, dx\) [804]
3.9.5
\(\int \genfrac {}{}{}{}{4+2 x^3+8 \log (\genfrac {}{}{}{}{5}{x})+e^{x^{\genfrac {}{}{}{}{1}{x}}} x^{\genfrac {}{}{}{}{1}{x}} (x-x \log (x))}{x^3} \, dx\) [805]
3.9.6
\(\int \genfrac {}{}{}{}{8 x^2+8 \log (x)+(4 x^2+4 \log (x)) \log (x^2)+e^{\log ^2(x^2+\log (x))} (-4 x^2+(-4-4 x^2) \log (x)-4 \log ^2(x)+(-8-16 x^2) \log (x) \log (x^2+\log (x)))}{e^{2 \log ^2(x^2+\log (x))} (x^4 \log ^2(x)+x^2 \log ^3(x))+e^{\log ^2(x^2+\log (x))} (-2 x^4 \log (x)-2 x^2 \log ^2(x)) \log (x^2)+(x^4+x^2 \log (x)) \log ^2(x^2)} \, dx\) [806]
3.9.7
\(\int \genfrac {}{}{}{}{16 e^{4+x} x+e^4 (8 x-56 x^2+64 x^3-8 x^5)+e^4 (32 x-32 x^2-8 x^3+8 x^4) \log (4)+e^4 (4 x^2-2 x^3) \log ^2(4)+(16 e^{4+x}+e^4 (8-56 x+64 x^2-8 x^4)+e^4 (32-32 x-8 x^2+8 x^3) \log (4)+e^4 (4 x-2 x^2) \log ^2(4)) \log (4 e^x+4 x-16 x^2+16 x^3-4 x^4+(16 x-16 x^2+4 x^3) \log (4)+(-4+4 x-x^2) \log ^2(4))}{4 e^x+4 x-16 x^2+16 x^3-4 x^4+(16 x-16 x^2+4 x^3) \log (4)+(-4+4 x-x^2) \log ^2(4)} \, dx\) [807]
3.9.8
\(\int \genfrac {}{}{}{}{15 x+e^{\genfrac {}{}{}{}{1+2 x-x^2 \log (x)}{x}} (-5-5 x-5 x^2-5 x^2 \log (x))}{2 x^3} \, dx\) [808]
3.9.9
\(\int \genfrac {}{}{}{}{(x-2 x^2) \log (x)+4 \log ^4(x)}{x \log (x)} \, dx\) [809]
3.9.10
\(\int \genfrac {}{}{}{}{12+23 e^4-3 e^4 \log (10)+(12+23 e^4-3 e^4 \log (10)) \log (x \log (\log (2)))}{3 e^4 x^2 \log ^2(x \log (\log (2)))} \, dx\) [810]
3.9.11
\(\int \genfrac {}{}{}{}{x^5+e^{4+\genfrac {}{}{}{}{e^4 (4+4 x+5 x^2+2 x^3+x^4)}{x^4}} (16+12 x+10 x^2+2 x^3)}{x^5} \, dx\) [811]
3.9.12
\(\int \genfrac {}{}{}{}{e^3+x+2 x^2}{x^2} \, dx\) [812]
3.9.13
\(\int \genfrac {}{}{}{}{-e^{10} x+2 e^{10} x \log (x) \log (\log (x))-2 e^{10} \log (x) \log ^2(\log (x))}{\log (x) \log ^2(\log (x))} \, dx\) [813]
3.9.14
\(\int \genfrac {}{}{}{}{-5+\genfrac {}{}{}{}{e^{-5+x} (x-x^2)}{x}}{x^2} \, dx\) [814]
3.9.15
\(\int \genfrac {}{}{}{}{50+e^{x-x^6} (50-300 x^5)+e^x (1-x-6 e^{x-x^6} x^5)}{5000+200 e^x+2 e^{2 x}} \, dx\) [815]
3.9.16
\(\int \genfrac {}{}{}{}{4+5 x^2+8 x^3+x^2 \log (\genfrac {}{}{}{}{5}{3})}{64 x^2} \, dx\) [816]
3.9.17
\(\int \genfrac {}{}{}{}{6 x+18 x^2-4 x^4+(12 x+4 x^4) \log (x)}{9-12 x^3+4 x^6} \, dx\) [817]
3.9.18
\(\int \genfrac {}{}{}{}{-x+3 e^{x^3} x^3+(-e^{x^3}+x) \log (-e^{x^3}+x)}{e^{x^3} x^2-x^3} \, dx\) [818]
3.9.19
\(\int \genfrac {}{}{}{}{1}{3} e^{\genfrac {}{}{}{}{1}{3} (3+9 x-6 x^2-4 x^2 \log ^2(x))} (9-12 x-8 x \log (x)-8 x \log ^2(x)) \, dx\) [819]
3.9.20
\(\int \genfrac {}{}{}{}{e^x (-2+64 x+27 x^2-66 x^3-30 x^4+17 x^5+8 x^6)+e^x (-32+2 x+32 x^2-x^3-8 x^4) \log (\genfrac {}{}{}{}{-4+2 x^2}{-80+5 x+40 x^2})}{32-2 x-32 x^2+x^3+8 x^4} \, dx\) [820]
3.9.21
\(\int \genfrac {}{}{}{}{-3+e^2+e^x (-1+x)}{x^2} \, dx\) [821]
3.9.22
\(\int \genfrac {}{}{}{}{e^{-e^{1+9 x}+x} (-3+27 e^{1+9 x})+24 x}{e^{-2 e^{1+9 x}+2 x}-8 e^{-e^{1+9 x}+x} x^2+16 x^4} \, dx\) [822]
3.9.23
\(\int \genfrac {}{}{}{}{-21 x^2+9 \log (4)+7 x^2 \log (x)+((27-63 x) \log (4)+(-9+21 x) \log (4) \log (x)) \log (-3+\log (x))}{-9 x^2+3 x^2 \log (x)+(-27 x \log (4)+9 x \log (4) \log (x)) \log (-3+\log (x))} \, dx\) [823]
3.9.24
\(\int \genfrac {}{}{}{}{3-x-x \log (x)+(3+x-5 x^2+(-2+x-10 x^2) \log (x)-\log (5 x^2)) \log (\log (4))}{x} \, dx\) [824]
3.9.25
\(\int \genfrac {}{}{}{}{20 e^{\genfrac {}{}{}{}{-400+60 e^2+20 e^2 \log (x)}{e^2}}}{x} \, dx\) [825]
3.9.26
\(\int \genfrac {}{}{}{}{-6+8 x+4 x^4}{2 x+x^4} \, dx\) [826]
3.9.27
\(\int \genfrac {}{}{}{}{432 x+216 e^3 x^2+e^6 (-18900+36 x^3)+e^9 (3150 x+2 x^4)}{216+108 e^3 x+18 e^6 x^2+e^9 x^3} \, dx\) [827]
3.9.28
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{1800 e^{-\genfrac {}{}{}{}{4 x}{-12+e^4}}}{x^2}-\genfrac {}{}{}{}{4 x}{-12+e^4}} (43200-3600 e^4-7200 x)}{-12 x^3+e^4 x^3} \, dx\) [828]
3.9.29
\(\int \genfrac {}{}{}{}{e^x (1-x)-3 x^2-\log ^2(4)}{x^2} \, dx\) [829]
3.9.30
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{e^{2 x}+2 e^x x+x^2}{x^2}} (-46 x^3+6 x^4+e^{2 x} (-60+44 x+28 x^2-12 x^3)+e^x (-60 x+44 x^2+28 x^3-12 x^4))}{125 x^3+225 x^4+135 x^5+27 x^6} \, dx\) [830]
3.9.31
\(\int \genfrac {}{}{}{}{1}{2} (-5+60 e^3) \, dx\) [831]
3.9.32
\(\int 12 e^{1-e^3} x^2 \, dx\) [832]
3.9.33
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{\log (5) \log (\genfrac {}{}{}{}{x}{3})}{-x+(2+x) \log (\genfrac {}{}{}{}{x}{3})}} (-\log (5)+\log (5) \log (\genfrac {}{}{}{}{x}{3})-\log (5) \log ^2(\genfrac {}{}{}{}{x}{3}))}{x^2+(-4 x-2 x^2) \log (\genfrac {}{}{}{}{x}{3})+(4+4 x+x^2) \log ^2(\genfrac {}{}{}{}{x}{3})} \, dx\) [833]
3.9.34
\(\int \genfrac {}{}{}{}{e^6-\genfrac {}{}{}{}{35 x^{4/3}}{e^5}}{e^6} \, dx\) [834]
3.9.35
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{5 e^5 x+(2 x+e^4 x) \log (x)}{2 \log (x)}} (-5 e^5+5 e^5 \log (x)+(2+e^4) \log ^2(x))}{2 \log ^2(x)} \, dx\) [835]
3.9.36
\(\int \genfrac {}{}{}{}{-80 x-80 x^3+e^x (-16 x-16 x^2-16 x^3)-32 \log (x)-16 x^2 \log ^2(x)}{e^{2 x^2} (3125 x^6+3125 e^x x^6+1250 e^{2 x} x^6+250 e^{3 x} x^6+25 e^{4 x} x^6+e^{5 x} x^6)+e^{2 x^2} (3125 x^5+2500 e^x x^5+750 e^{2 x} x^5+100 e^{3 x} x^5+5 e^{4 x} x^5) \log ^2(x)+e^{2 x^2} (1250 x^4+750 e^x x^4+150 e^{2 x} x^4+10 e^{3 x} x^4) \log ^4(x)+e^{2 x^2} (250 x^3+100 e^x x^3+10 e^{2 x} x^3) \log ^6(x)+e^{2 x^2} (25 x^2+5 e^x x^2) \log ^8(x)+e^{2 x^2} x \log ^{10}(x)} \, dx\) [836]
3.9.37
\(\int \genfrac {}{}{}{}{1+(-1+(-2+e) e^{-2-2 x+e x}) \log ^2(\log (3))}{x+(e^{-2-2 x+e x}-x) \log ^2(\log (3))} \, dx\) [837]
3.9.38
\(\int \genfrac {}{}{}{}{9 x-3 x^3+(-3+12 x-10 x^2+2 x^3+3 x^4) \log (-1+3 x)}{(3 x-9 x^2-x^3+3 x^4) \log (-1+3 x)} \, dx\) [838]
3.9.39
\(\int \genfrac {}{}{}{}{1}{x \log (x) \log (-e^2 \log (x))} \, dx\) [839]
3.9.40
\(\int \genfrac {}{}{}{}{-8+9 x-49 x^2}{9 x^2} \, dx\) [840]
3.9.41
\(\int \genfrac {}{}{}{}{e^{-2+\genfrac {}{}{}{}{e^{-2-2 x} (7744 e^2+e^x (-704 e-704 e^{2+\genfrac {}{}{}{}{2}{x}})+e^{2 x} (16+32 e^{1+\genfrac {}{}{}{}{2}{x}}+16 e^{2+\genfrac {}{}{}{}{4}{x}}))}{x^2}-2 x} (e^{2 x} (e^{1+\genfrac {}{}{}{}{2}{x}} (-64-64 x)+e^{2+\genfrac {}{}{}{}{4}{x}} (-64-32 x)-32 x)+e^2 (-15488 x-15488 x^2)+e^x (e (1408 x+704 x^2)+e^{2+\genfrac {}{}{}{}{2}{x}} (1408+1408 x+704 x^2)))}{x^4} \, dx\) [841]
3.9.42
\(\int \genfrac {}{}{}{}{2 e^{\genfrac {}{}{}{}{e^4-x^2}{x}} x-x^2+(-3 x^2+e^{\genfrac {}{}{}{}{e^4-x^2}{x}} (-2 e^4+4 x-2 x^2)) \log (x)}{(2 e^{\genfrac {}{}{}{}{e^4-x^2}{x}} x^2-x^3) \log (x)} \, dx\) [842]
3.9.43
\(\int \genfrac {}{}{}{}{1-4 x-2 x^2}{2 x-4 x^2-x^3+x \log (x)} \, dx\) [843]
3.9.44
\(\int e^{-x^2} (10 x+e^{x^2} (1+2 x+3 x^2)) \, dx\) [844]
3.9.45
\(\int \genfrac {}{}{}{}{e^{-6-2 x} (120+105 x+18 x^2+4 e^{6+2 x} x^3+(-70-68 x-12 x^2) \log (x)+(10+11 x+2 x^2) \log ^2(x))}{3 x^3} \, dx\) [845]
3.9.46
\(\int -\genfrac {}{}{}{}{2 e^{\genfrac {}{}{}{}{1}{3} (15-\log (x))}}{3 x} \, dx\) [846]
3.9.47
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{5-x \log (3)}{\log (3)}} (-15-15 x-10 x^2+(2+2 x-2 x^2) \log (2)+(1+x) \log ^2(2))}{x^2} \, dx\) [847]
3.9.48
\(\int e^{-2+e^x} ((216+432 x+288 x^2+64 x^3) \log (9)+e^x (81+216 x+216 x^2+96 x^3+16 x^4) \log (9)) \, dx\) [848]
3.9.49
\(\int \genfrac {}{}{}{}{1}{3} (-3+e^{\genfrac {}{}{}{}{1}{3} (e^{2 x}-10 x+e^x (-5+2 x))} (-10+2 e^{2 x}+e^x (-3+2 x))) \, dx\) [849]
3.9.50
\(\int e^{40-16 x^2+2 x^4} (32 x-8 x^3) \, dx\) [850]
3.9.51
\(\int \genfrac {}{}{}{}{1}{2} (-1+e^2-e^{25}+2 x-9 x^2) \, dx\) [851]
3.9.52
\(\int \genfrac {}{}{}{}{e^{-\genfrac {}{}{}{}{16-x^3}{x}} (240+3 e^{\genfrac {}{}{}{}{16-x^3}{x}} x^2+30 x^3+e^{x+\genfrac {}{}{}{}{16-x^3}{x}} (5 x^2+3 x^3))}{3 x^2} \, dx\) [852]
3.9.53
\(\int \genfrac {}{}{}{}{e^{e^{5 e^{e^{\genfrac {}{}{}{}{9+8 x^2+3 e^5 x^2}{x^3}}}}+5 e^{e^{\genfrac {}{}{}{}{9+8 x^2+3 e^5 x^2}{x^3}}}+e^{\genfrac {}{}{}{}{9+8 x^2+3 e^5 x^2}{x^3}}+\genfrac {}{}{}{}{9+8 x^2+3 e^5 x^2}{x^3}} (-135-40 x^2-15 e^5 x^2)}{x^4} \, dx\) [853]
3.9.54
\(\int \genfrac {}{}{}{}{e^{-3-3 x+\genfrac {}{}{}{}{e^{-3-3 x} x}{\log (4 x)}} (-1+(1-3 x) \log (4 x))}{\log ^2(4 x)} \, dx\) [854]
3.9.55
\(\int \genfrac {}{}{}{}{1464843750 x^2+e^8 (-46875000000 x+187500000 x^2-187500 x^3)+e^{16} (375000000000-3000000000 x+9000000 x^2-12000 x^3+6 x^4)+e^x (244140625 x-244140625 x^2+e^8 (3921875000 x-15656250 x^2+15625 x^3))}{244140625 x^3+e^8 (-7812500000 x^2+31250000 x^3-31250 x^4)+e^{16} (62500000000 x-500000000 x^2+1500000 x^3-2000 x^4+x^5)} \, dx\) [855]
3.9.56
\(\int \genfrac {}{}{}{}{4 e^{20+4 x}+96 x+16 e^{15+3 x} x-140 x^2-8 x^3+4 x^4+e^{10+2 x} (-48-104 x+24 x^2)+e^{5+x} (-192 x-112 x^2+16 x^3)+(-4 e^{20+4 x}-16 e^{15+3 x} x-4 x^2+8 x^3-4 x^4+e^{10+2 x} (8 x-24 x^2)+e^{5+x} (16 x^2-16 x^3)) \log (x)}{e^{20+4 x} x^2+4 e^{15+3 x} x^3+x^4-2 x^5+x^6+e^{10+2 x} (-2 x^3+6 x^4)+e^{5+x} (-4 x^4+4 x^5)} \, dx\) [856]
3.9.57
\(\int \genfrac {}{}{}{}{-4 x^5-4 x^4 \log (3)+e^x (50 x+25 \log (3))+e^x (25 x^2+25 x \log (3)) \log (x^2+x \log (3))}{-x^6-x^5 \log (3)+e^x (25 x^2+25 x \log (3)) \log (x^2+x \log (3))} \, dx\) [857]
3.9.58
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{1}{15} (35 e^{\genfrac {}{}{}{}{e^6}{4}}+3 x)} (20+4 x-4 x^2)}{5-10 x+5 x^2} \, dx\) [858]
3.9.59
\(\int \genfrac {}{}{}{}{-100 x+40 x^2+e^{12 x^4} (-100 x+20 x^2+2400 x^5-960 x^6+96 x^7)+e^{6 x^4} (-200 x+60 x^2+2400 x^5-1440 x^6+192 x^7)}{625-1000 x+350 x^2+40 x^3+x^4+e^{6 x^4} (2500-3500 x+1300 x^2-100 x^3-8 x^4)+e^{24 x^4} (625-500 x+150 x^2-20 x^3+x^4)+e^{18 x^4} (2500-2500 x+900 x^2-140 x^3+8 x^4)+e^{12 x^4} (3750-4500 x+1700 x^2-260 x^3+14 x^4)} \, dx\) [859]
3.9.60
\(\int \genfrac {}{}{}{}{e^{84+2 x} (4 x^4-2 x^5)+e^{42+x} (4 x^6-2 x^7)+e^{x^2} (2 x^7-4 x^9+e^{126+3 x} (2 x-4 x^3)+e^{84+2 x} (6 x^3-12 x^5)+e^{42+x} (6 x^5-12 x^7))}{-x^9+e^{3 x^2} (e^{126+3 x}+3 e^{84+2 x} x^2+3 e^{42+x} x^4+x^6)+e^{2 x^2} (-3 e^{84+2 x} x^3-6 e^{42+x} x^5-3 x^7)+e^{x^2} (3 e^{42+x} x^6+3 x^8)} \, dx\) [860]
3.9.61
\(\int \genfrac {}{}{}{}{-189-198 x+e^4 (22 x+23 x^2)+(-9-9 x+e^4 (x+x^2)) \log (\genfrac {}{}{}{}{9 x+9 x^2+e^4 (-x^2-x^3)}{e^4})}{-180-180 x+e^4 (20 x+20 x^2)} \, dx\) [861]
3.9.62
\(\int \genfrac {}{}{}{}{6340+144 e^{2 x}-640 x+16 x^2+e^x (-1911+87 x)}{6400+144 e^{2 x}-640 x+16 x^2+e^x (-1920+96 x)} \, dx\) [862]
3.9.63
\(\int \genfrac {}{}{}{}{e^{-x} (768 x^2-128 x^3+52 x^4-2 x^5+e^x (-32 x-98 x^3+4 x^4)+e^x (-768+32 x+48 x^2-2 x^3) \log (\genfrac {}{}{}{}{1}{3} (-24+x)))}{-24 x^2+x^3} \, dx\) [863]
3.9.64
\(\int \genfrac {}{}{}{}{625+(13500+7500 x) \log (2)+(97200+108000 x+37200 x^2) \log ^2(2)+(233280+388800 x+216000 x^2+68800 x^3) \log ^3(2)}{125 x^2+(2700 x^2+1500 x^3) \log (2)+(19440 x^2+21600 x^3+6000 x^4) \log ^2(2)+(46656 x^2+77760 x^3+43200 x^4+8000 x^5) \log ^3(2)} \, dx\) [864]
3.9.65
\(\int e^{-4 x+e^4 x+e^6 x} (1-4 x+e^4 x+e^6 x+(4-e^4-e^6) \log (4)) \, dx\) [865]
3.9.66
\(\int \genfrac {}{}{}{}{-7938-11250 e^8-18900 x-11250 x^2+e^4 (18900+22500 x)+e^{-\genfrac {}{}{}{}{50 x}{-21+25 e^4-25 x}} (-882-1250 e^8-1050 x-1250 x^2+e^4 (2100+1250 x))+e^{-\genfrac {}{}{}{}{25 x}{-21+25 e^4-25 x}} (-5292-7500 e^8-9450 x-7500 x^2+e^4 (12600+11250 x))}{3969 x^3+5625 e^8 x^3+9450 x^4+5625 x^5+e^4 (-9450 x^3-11250 x^4)} \, dx\) [866]
3.9.67
\(\int \genfrac {}{}{}{}{7 x+e^{\log ^2(x^2)} (3 x+(4-12 x) \log (x^2))}{12 x+3 e^{2 \log ^2(x^2)} x+12 x^2+3 x^3+e^{\log ^2(x^2)} (12 x+6 x^2)} \, dx\) [867]
3.9.68
\(\int \genfrac {}{}{}{}{-4-x^2+e^{e^x+x} x^2+e^{3+x} (-128+128 x-64 x^2)}{x^2} \, dx\) [868]
3.9.69
\(\int \genfrac {}{}{}{}{80 e^{2 x}+160 e^x x+80 x^2+(e^{2 x} (40-160 x)+40 x-160 x^2+e^x (40-120 x-160 x^2)) \log (-3+12 x)+(-3+12 x) \log ^2(-3+12 x)}{(-2+8 x) \log ^2(-3+12 x)} \, dx\) [869]
3.9.70
\(\int \genfrac {}{}{}{}{3+117 x+30 x^2-45 x^3+(24 x+6 x^2-9 x^3) \log (3 x)+(-15 x-3 x \log (3 x)) \log (5+\log (3 x))}{5 x+x \log (3 x)} \, dx\) [870]
3.9.71
\(\int \genfrac {}{}{}{}{(-323 x+160 x^2-16 x^3)^{2-5^{\genfrac {}{}{}{}{1}{x}}} (323 x-480 x^2+80 x^3+5^{\genfrac {}{}{}{}{1}{x}} (-323 x+320 x^2-48 x^3)+5^{\genfrac {}{}{}{}{1}{x}} (323-160 x+16 x^2) \log (5) \log (-323 x+160 x^2-16 x^3))}{323 x^3-160 x^4+16 x^5} \, dx\) [871]
3.9.72
\(\int \genfrac {}{}{}{}{(-12+24 x-12 x^2-12 x^3-2 x^4) \log (e^{2 x} x^2)+(-12+18 x+22 x^2-20 x^3-14 x^4-2 x^5) \log (\genfrac {}{}{}{}{3 x-3 x^2-x^3}{-2+3 x+x^2})}{(6 x-15 x^2+4 x^3+6 x^4+x^5) \log (e^{2 x} x^2) \log (\genfrac {}{}{}{}{3 x-3 x^2-x^3}{-2+3 x+x^2})} \, dx\) [872]
3.9.73
\(\int \genfrac {}{}{}{}{\log (x)+e^{e^{3 x}} (-2 e^5+(2-2 e^5+6 e^{5+3 x} x) \log (x)+(2-6 e^{3 x} x) \log ^2(x))+e^{e^{3 x}} (-e^5+(1-e^5+3 e^{5+3 x} x) \log (x)+(1-3 e^{3 x} x) \log ^2(x)) \log (-e^5+\log (x))+(2 e^5+(-2+2 e^5) \log (x)-2 \log ^2(x)+(e^5+(-1+e^5) \log (x)-\log ^2(x)) \log (-e^5+\log (x))) \log (2+\log (-e^5+\log (x)))}{e^{e^{3 x}} (2 e^5 x \log (x)-2 x \log ^2(x))+e^{e^{3 x}} (e^5 x \log (x)-x \log ^2(x)) \log (-e^5+\log (x))+(-2 e^5 x \log (x)+2 x \log ^2(x)+(-e^5 x \log (x)+x \log ^2(x)) \log (-e^5+\log (x))) \log (2+\log (-e^5+\log (x)))} \, dx\) [873]
3.9.74
\(\int \genfrac {}{}{}{}{1+e^x (4 x-4 x \log (2))}{x} \, dx\) [874]
3.9.75
\(\int \genfrac {}{}{}{}{e^{9+\genfrac {}{}{}{}{4}{8 x+e x}} (-4+16 x+2 e x)}{8+e} \, dx\) [875]
3.9.76
\(\int \genfrac {}{}{}{}{2+4 x-2 x^2-4 x^3+(-1-2 x+x^2+2 x^3) \log (4)}{-4 x^3+4 x^4+4 x^5+(4 x^2-4 x^3-4 x^4) \log (\genfrac {}{}{}{}{6-6 x-6 x^2}{x})+(-x+x^2+x^3) \log ^2(\genfrac {}{}{}{}{6-6 x-6 x^2}{x})} \, dx\) [876]
3.9.77
\(\int \genfrac {}{}{}{}{-96+x^2-2 x^3+x^2 \log (2)}{x^2} \, dx\) [877]
3.9.78
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{1}{2} (-10+\log (15-12 x \log (2+\log ^2(4+x^2))))} (8 x^2 \log (4+x^2)+(16+4 x^2+(8+2 x^2) \log ^2(4+x^2)) \log (2+\log ^2(4+x^2)))}{-40-10 x^2+(-20-5 x^2) \log ^2(4+x^2)+(32 x+8 x^3+(16 x+4 x^3) \log ^2(4+x^2)) \log (2+\log ^2(4+x^2))} \, dx\) [878]
3.9.79
\(\int \genfrac {}{}{}{}{-x^4+(200 x+30 x^2-40 x^3-x^4+2 x^5-4 x^8) \log (x)+(40 x^3+x^4-4 x^5) \log (x) \log (e^{x^4} \log (x))+2 x^5 \log (x) \log ^2(e^{x^4} \log (x))}{(300-60 x^2+3 x^4) \log (x)+(60 x^2-6 x^4) \log (x) \log (e^{x^4} \log (x))+3 x^4 \log (x) \log ^2(e^{x^4} \log (x))} \, dx\) [879]
3.9.80
\(\int \genfrac {}{}{}{}{(-3 x+6 x^2-x^3+2 x^4+(-5 x^3+10 x^4) \log (4)) \log (-3-x^2-5 x^2 \log (4))+\log (5-x+x^2) (-10 x^2+2 x^3-2 x^4+(-50 x^2+10 x^3-10 x^4) \log (4)+(15-3 x+8 x^2-x^3+x^4+(25 x^2-5 x^3+5 x^4) \log (4)) \log (-3-x^2-5 x^2 \log (4)))}{(15-3 x+8 x^2-x^3+x^4+(25 x^2-5 x^3+5 x^4) \log (4)) \log ^2(-3-x^2-5 x^2 \log (4))} \, dx\) [880]
3.9.81
\(\int -\genfrac {}{}{}{}{1}{-x+x^2} \, dx\) [881]
3.9.82
\(\int \genfrac {}{}{}{}{-67+4 e^5}{-17+34 x-17 x^2+e^5 (4-8 x+4 x^2)} \, dx\) [882]
3.9.83
\(\int \genfrac {}{}{}{}{e^{-2-\genfrac {}{}{}{}{1+4 x}{-1+x}} (-x^2-3 x^3-7 x^4+2 x^5-11 x^6+5 x^7-5 x^8+e^2 (16-112 x+16 x^2)+e^{2+\genfrac {}{}{}{}{1+4 x}{-1+x}} (x-2 x^2+x^3)+e (40 x^2+16 x^3+8 x^4+16 x^5))}{x^2-2 x^3+x^4} \, dx\) [883]
3.9.84
\(\int \genfrac {}{}{}{}{-320-32 x+e^{4294967296 x^4+2147483648 x^5+469762048 x^6+58720256 x^7+4587520 x^8+229376 x^9+7168 x^{10}+128 x^{11}+x^{12}} (-400 x-60 x^2-2 x^3-3435973836800 x^5-2834678415360 x^6-1027570925568 x^7-216426086400 x^8-29418848256 x^9-2702966784 x^{10}-170311680 x^{11}-7277568 x^{12}-202080 x^{13}-3296 x^{14}-24 x^{15})}{-4096+768 e^{4294967296 x^4+2147483648 x^5+469762048 x^6+58720256 x^7+4587520 x^8+229376 x^9+7168 x^{10}+128 x^{11}+x^{12}} x^2-48 e^{8589934592 x^4+4294967296 x^5+939524096 x^6+117440512 x^7+9175040 x^8+458752 x^9+14336 x^{10}+256 x^{11}+2 x^{12}} x^4+e^{12884901888 x^4+6442450944 x^5+1409286144 x^6+176160768 x^7+13762560 x^8+688128 x^9+21504 x^{10}+384 x^{11}+3 x^{12}} x^6} \, dx\) [884]
3.9.85
\(\int \genfrac {}{}{}{}{-512+88 x+21 x^2-2 x^3+(256-64 x) \log (8 x-x^2)}{-8 x+x^2} \, dx\) [885]
3.9.86
\(\int \genfrac {}{}{}{}{(-6-6 x) \log (16)+(-6-6 x) \log (1+x)+(9-6 x) \log (-3+2 x)}{((-3-x+2 x^2) \log ^2(16)+(-6-2 x+4 x^2) \log (16) \log (1+x)+(-3-x+2 x^2) \log ^2(1+x)) \log ^2(-3+2 x)} \, dx\) [886]
3.9.87
\(\int \genfrac {}{}{}{}{15+5 x+e^{-4+x} (-15+9 x+5 x^2)+(3+x+e^{-4+x} (-3+2 x+x^2)) \log (\genfrac {}{}{}{}{1}{15+5 x})+\log (x) (-15-6 x+(-3-x) \log (\genfrac {}{}{}{}{1}{15+5 x}))}{3 x^2+x^3} \, dx\) [887]
3.9.88
\(\int \genfrac {}{}{}{}{e^{-25+\genfrac {}{}{}{}{e^{-25+10 x-x^2}}{5 x}+10 x-x^2} (-1+10 x-2 x^2+(1-10 x+2 x^2) \log (3))}{5 x^2} \, dx\) [888]
3.9.89
\(\int \genfrac {}{}{}{}{(-225+x)^{-\genfrac {}{}{}{}{e^4}{-e^{2/x}+e^{5+x}}} (e^{4+\genfrac {}{}{}{}{2}{x}} x^2-e^{9+x} x^2+(e^{4+\genfrac {}{}{}{}{2}{x}} (-450+2 x)+e^{9+x} (-225 x^2+x^3)) \log (-225+x))}{e^{5+\genfrac {}{}{}{}{2}{x}+x} (450 x^2-2 x^3)+e^{4/x} (-225 x^2+x^3)+e^{10+2 x} (-225 x^2+x^3)} \, dx\) [889]
3.9.90
\(\int \genfrac {}{}{}{}{4-2 e^4+x-4 e^x x-2 \log (2 e^{-4 e^x+2 x} x^4)}{x^3} \, dx\) [890]
3.9.91
\(\int \genfrac {}{}{}{}{1}{50} (-500+100 x+e^{\genfrac {}{}{}{}{1}{2} (-96-7 x)} (4 x-7 x^2)+e^{\genfrac {}{}{}{}{1}{4} (-96-7 x)} (100-215 x+35 x^2)) \, dx\) [891]
3.9.92
\(\int \genfrac {}{}{}{}{-8-x^2}{x^3} \, dx\) [892]
3.9.93
\(\int e^{-3-x} (-5+5 x+e^{3+x} (20736+13828 x+2592 x^2+192 x^3+5 x^4)) \, dx\) [893]
3.9.94
\(\int \genfrac {}{}{}{}{630+630 x-1311 x^2+101 x^3-2 x^4}{630 x-50 x^2+x^3} \, dx\) [894]
3.9.95
\(\int \genfrac {}{}{}{}{10+80 x+90 x^2}{-x-4 x^2-3 x^3+(x+4 x^2+3 x^3) \log ((2 x+8 x^2+6 x^3) \log (5))} \, dx\) [895]
3.9.96
\(\int \genfrac {}{}{}{}{-24 x^2+3 x \log (4)+(-12 x^2+3 x \log (4)) \log (\genfrac {}{}{}{}{x^4}{16 x^2-8 x \log (4)+\log ^2(4)})}{-36 x+9 \log (4)+(-24 x+6 \log (4)) \log (\genfrac {}{}{}{}{x^4}{16 x^2-8 x \log (4)+\log ^2(4)})+(-4 x+\log (4)) \log ^2(\genfrac {}{}{}{}{x^4}{16 x^2-8 x \log (4)+\log ^2(4)})} \, dx\) [896]
3.9.97
\(\int \genfrac {}{}{}{}{e^{-2+x} (-32+32 x+108 x^2+20 x^3)}{5 x^2} \, dx\) [897]
3.9.98
\(\int \genfrac {}{}{}{}{5 x^4+10 x^5+e^{4 x} (5+10 x)+e^{10} (42+90 x)+e^5 (31 x^2+60 x^3)+e^{2 x} (42+e^5 (-58-122 x)+90 x-10 x^2-20 x^3+e^{10} (5+10 x))+e^{3 x} (-29-61 x+e^5 (10+20 x))+e^x (e^{10} (-29-61 x)+31 x^2+59 x^3+e^5 (84+180 x-10 x^2-20 x^3))+(45 e^{10}+5 e^{4 x}+e^{3 x} (-30+10 e^5)+30 e^5 x^2+5 x^4+e^{2 x} (45-60 e^5+5 e^{10}-10 x^2)+e^x (-30 e^{10}+30 x^2+e^5 (90-10 x^2))) \log (2 x)}{9 e^{10}+e^{4 x}+e^{3 x} (-6+2 e^5)+6 e^5 x^2+x^4+e^{2 x} (9-12 e^5+e^{10}-2 x^2)+e^x (-6 e^{10}+6 x^2+e^5 (18-2 x^2))} \, dx\) [898]
3.9.99
\(\int \genfrac {}{}{}{}{-20-10 x-5 x^2+(8 x+8 x^2-2 x^3-2 x^4+e^{12 x} (-48-48 x+12 x^2+12 x^3)) \log ^2(\genfrac {}{}{}{}{-4+x^2}{1+x})}{(-20-20 x+5 x^2+5 x^3) \log (\genfrac {}{}{}{}{-4+x^2}{1+x})+(4 x^2+4 x^3-x^4-x^5+e^{12 x} (-4-4 x+x^2+x^3)) \log ^2(\genfrac {}{}{}{}{-4+x^2}{1+x})} \, dx\) [899]
3.9.100
\(\int \genfrac {}{}{}{}{-9 e^{10} x+(6 e^{20}-6 e^{10} x) \log (x)-3 e^{10} x \log ^2(x)}{-((9 e^{20} x-18 e^{10} x^2+9 x^3) \log (\genfrac {}{}{}{}{5}{2}))-(6 e^{20} x-12 e^{10} x^2+6 x^3) \log (\genfrac {}{}{}{}{5}{2}) \log ^2(x)-(e^{20} x-2 e^{10} x^2+x^3) \log (\genfrac {}{}{}{}{5}{2}) \log ^4(x)} \, dx\) [900]
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