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3.4
Integrals 301 to 400
3.4.1
\(\int \genfrac {}{}{}{}{-3 e+(24 x-8 e^{\genfrac {}{}{}{}{2}{3} (4+4 x)} x-6 x^2) \log ^2(x)}{3 x \log ^2(x)} \, dx\) [301]
3.4.2
\(\int -\genfrac {}{}{}{}{2 e}{(e x-x^2) \log ^2(-\genfrac {}{}{}{}{54 x^2}{e^2-2 e x+x^2})} \, dx\) [302]
3.4.3
\(\int \genfrac {}{}{}{}{44 x+72 x^2+48 x^3+e^{4 x} (-19 x-30 x^2-24 x^3)+e^{8 x} (2 x+3 x^2+3 x^3)+(-19 x-30 x^2-24 x^3+e^{4 x} (4 x+6 x^2+6 x^3)) \log (x)+(2 x+3 x^2+3 x^3) \log ^2(x)+(2+3 x+3 x^2+e^{4 x} (8 x+12 x^2+12 x^3)) \log (2+3 x+3 x^2)}{32 x+48 x^2+48 x^3+e^{4 x} (-16 x-24 x^2-24 x^3)+e^{8 x} (2 x+3 x^2+3 x^3)+(-16 x-24 x^2-24 x^3+e^{4 x} (4 x+6 x^2+6 x^3)) \log (x)+(2 x+3 x^2+3 x^3) \log ^2(x)} \, dx\) [303]
3.4.4
\(\int \genfrac {}{}{}{}{8-4 x+x \log (x^4)}{-4 x+x \log (x^4)} \, dx\) [304]
3.4.5
\(\int \genfrac {}{}{}{}{1+x-x^2}{-x+x^2} \, dx\) [305]
3.4.6
\(\int (-1+e^{2 x} (5+2 x)+e^{2 x+\genfrac {}{}{}{}{2}{5} (5 e^{12} x^4+\log (2))} (2+8 e^{12} x^3)) \, dx\) [306]
3.4.7
\(\int \genfrac {}{}{}{}{3 e^{10 x^2}-30 x+12 x^2+18 x^3+60 e^{10 x^2} x^2 \log (x)}{x} \, dx\) [307]
3.4.8
\(\int \genfrac {}{}{}{}{4 e^{1-e+x-x^2} (-1+x-2 x^2)}{x^2} \, dx\) [308]
3.4.9
\(\int \genfrac {}{}{}{}{2+12 e^{2 x}+8 e^{3 x}+e^x (8-4 x)+(1+6 e^x+12 e^{2 x}+8 e^{3 x}) \log (x)}{(4+48 e^{2 x}+32 e^{3 x}+x+e^x (24+2 x)+(x+6 e^x x+12 e^{2 x} x+8 e^{3 x} x) \log (x)) \log (\genfrac {}{}{}{}{4+16 e^x+16 e^{2 x}+x+(x+4 e^x x+4 e^{2 x} x) \log (x)}{1+4 e^x+4 e^{2 x}})} \, dx\) [309]
3.4.10
\(\int \genfrac {}{}{}{}{(8+2 x-2 x^2+e (16 x+4 x^2-4 x^3)) \log (x)+(-4+8 x+e (-4 x+8 x^2)) \log ^2(x) \log (\genfrac {}{}{}{}{x+e x^2}{e})+(-8-2 x+2 x^2+e (-8 x-2 x^2+2 x^3)+(8+4 x-6 x^2+e (8 x+4 x^2-6 x^3)) \log (x)) \log (\genfrac {}{}{}{}{x+e x^2}{e}) \log (\log (\genfrac {}{}{}{}{x+e x^2}{e}))}{(1+e x) \log ^2(x) \log (\genfrac {}{}{}{}{x+e x^2}{e})} \, dx\) [310]
3.4.11
\(\int \genfrac {}{}{}{}{-\genfrac {}{}{}{}{e^{-4+4 x}}{x^4}+\genfrac {}{}{}{}{4 e^{-3+3 x}}{x^2}-17 x^2+34 x^3-x^4+\genfrac {}{}{}{}{e^{-2+2 x} (-30 x+26 x^2)}{x^2}+\genfrac {}{}{}{}{e^{-1+x} (-4 x^2-28 x^3)}{x}}{-4 e^{-3+3 x}+\genfrac {}{}{}{}{e^{-4+4 x}}{x^2}+x^4-2 x^5+x^6+\genfrac {}{}{}{}{e^{-2+2 x} (-2 x^3+6 x^4)}{x^2}+\genfrac {}{}{}{}{e^{-1+x} (4 x^4-4 x^5)}{x}} \, dx\) [311]
3.4.12
\(\int \genfrac {}{}{}{}{e^x (-1+x)}{e^x x+x^2} \, dx\) [312]
3.4.13
\(\int \genfrac {}{}{}{}{-32-16 x+3 x^3+4 x^6-x^7}{16 x-3 x^3+x^7} \, dx\) [313]
3.4.14
\(\int \genfrac {}{}{}{}{(60 x+36 x^2) \log (x)+(30 x+18 x^2+(20 x+72 x^2+36 x^3) \log (x)) \log (x^2)+(36 x \log (x)+(18 x+(42 x+54 x^2) \log (x)) \log (x^2)) \log (\genfrac {}{}{}{}{\log (x)}{x})+18 x \log (x) \log (x^2) \log ^2(\genfrac {}{}{}{}{\log (x)}{x})+(36 x \log (x)+(18 x+(42 x+54 x^2) \log (x)) \log (x^2)+36 x \log (x) \log (x^2) \log (\genfrac {}{}{}{}{\log (x)}{x})) \log (\log (x^2))+18 x \log (x) \log (x^2) \log ^2(\log (x^2))}{9 \log (x) \log (x^2)} \, dx\) [314]
3.4.15
\(\int \genfrac {}{}{}{}{9 x+e^{2 x^2} x+6 x^2+x^3+e^{x^2} (-6 x-2 x^2)+e^{\genfrac {}{}{}{}{5-e^{x^2}+(-3+e^{x^2}-x) \log (\genfrac {}{}{}{}{x^2}{4})}{-3+e^{x^2}-x}} (-18-2 e^{2 x^2}-17 x-2 x^2+e^{x^2} (12+5 x+4 x^2-2 x^3))}{9 x+e^{2 x^2} x+6 x^2+x^3+e^{x^2} (-6 x-2 x^2)} \, dx\) [315]
3.4.16
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{144 x}{80-40 \log (x)+5 \log ^2(x)}} (-864+144 \log (x))+e^{e^x} (-320 e^x+240 e^x \log (x)-60 e^x \log ^2(x)+5 e^x \log ^3(x))}{-320+240 \log (x)-60 \log ^2(x)+5 \log ^3(x)} \, dx\) [316]
3.4.17
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{x^2-50 x^3+645 x^4-502 x^5+150 x^6-20 x^7+x^8+e^{2 x} (625-500 x+150 x^2-20 x^3+x^4)+e^x (-50 x+1270 x^2-1002 x^3+300 x^4-40 x^5+2 x^6)}{x^2}} (-50 x^3+1290 x^4-1506 x^5+600 x^6-100 x^7+6 x^8+e^{2 x} (-1250+1750 x-1000 x^2+280 x^3-38 x^4+2 x^5)+e^x (50 x-50 x^2+268 x^3-402 x^4+180 x^5-32 x^6+2 x^7))}{5 x^3} \, dx\) [317]
3.4.18
\(\int (-2-2 e^x-2 \log (x)) \, dx\) [318]
3.4.19
\(\int \genfrac {}{}{}{}{4 x^3+4 x^4-12 x^5-12 x^6+e^3 (-4 x^3+12 x^5)+(8 x^2+8 x^3-24 x^4-24 x^5+e^3 (-8 x^2+24 x^4)) \log (1-e^3+x)+(4 x+4 x^2-12 x^3-12 x^4+e^3 (-4 x+12 x^3)) \log ^2(1-e^3+x)+\log ^2(x) (3 x+2 x^2-12 x^3-6 x^4+9 x^5+e^3 (-2 x+6 x^3)+(1+x-9 x^4-9 x^5+e^3 (-1+9 x^4)) \log (1-e^3+x))+\log (x) (-x-x^2-6 x^3-2 x^4+3 x^5-9 x^6+e^3 (x+2 x^3+9 x^5)+(-1-x-10 x^2-6 x^3-9 x^4-21 x^5+e^3 (1+6 x^2+21 x^4)) \log (1-e^3+x)+(-4 x-4 x^2-12 x^3-12 x^4+e^3 (4 x+12 x^3)) \log ^2(1-e^3+x))}{-2 x^6+2 e^3 x^6-2 x^7+(-6 x^5+6 e^3 x^5-6 x^6) \log (1-e^3+x)+(-6 x^4+6 e^3 x^4-6 x^5) \log ^2(1-e^3+x)+(-2 x^3+2 e^3 x^3-2 x^4) \log ^3(1-e^3+x)} \, dx\) [319]
3.4.20
\(\int \genfrac {}{}{}{}{x \log (\genfrac {}{}{}{}{4}{x^2})+(23+x) \log ^3(\genfrac {}{}{}{}{4}{x^2})+(4 x-25 \log ^3(\genfrac {}{}{}{}{4}{x^2})) \log (x)}{x^2 \log ^3(\genfrac {}{}{}{}{4}{x^2})} \, dx\) [320]
3.4.21
\(\int \genfrac {}{}{}{}{e (1-x) \log (x)+(-x+x^2) \log ^2(x)+(-2 e x+2 x^2 \log (x)) \log (-3+3 x)+(e (1-x)+(-x+x^2) \log (x)) \log ^2(-3+3 x)+(e (-1+x)-x+x^2+(e (1-x)+x-x^2) \log (x)+(e (1-x)+x-x^2) \log ^2(-3+3 x)) \log (-x+x \log (x)+x \log ^2(-3+3 x))}{(x^2-x^3+(-x^2+x^3) \log (x)+(-x^2+x^3) \log ^2(-3+3 x)) \log ^2(-x+x \log (x)+x \log ^2(-3+3 x))} \, dx\) [321]
3.4.22
\(\int \genfrac {}{}{}{}{1}{x} \, dx\) [322]
3.4.23
\(\int \genfrac {}{}{}{}{-3 x+e^{2 x} (4 e^5+2 x)+e^x (-x+x^2+e^5 (4+x))+(24 x+e^{2 x} (-2 e^5+18 x)+e^x (e^5 (-2-4 x)+42 x-4 x^2)) \log (x)+(-54 x-53 e^{2 x} x+e^x (-107 x+e^5 x+x^2)) \log ^2(x)+(24 x+48 e^x x+24 e^{2 x} x) \log ^3(x)+(-3 x-6 e^x x-3 e^{2 x} x) \log ^4(x)}{x+2 e^x x+e^{2 x} x+(-8 x-16 e^x x-8 e^{2 x} x) \log (x)+(18 x+36 e^x x+18 e^{2 x} x) \log ^2(x)+(-8 x-16 e^x x-8 e^{2 x} x) \log ^3(x)+(x+2 e^x x+e^{2 x} x) \log ^4(x)} \, dx\) [323]
3.4.24
\(\int \genfrac {}{}{}{}{1}{9} (-25+18 e^{2 x}) \, dx\) [324]
3.4.25
\(\int (1-170 e^{-1-80 x^2} x) \, dx\) [325]
3.4.26
\(\int (2 x-6 x^2+4 x^3+e^x (8 x-8 x^2-4 x^3)+e^{3 x} (12 x^2+12 x^3)+e^{2 x} (8 x+14 x^2-4 x^3-4 x^4)+e^{4 x} (4 x^3+4 x^4)) \, dx\) [326]
3.4.27
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{2 (-198 x-558 x^2-18 x^3+288 x^4-72 x^5+e^{2 x} (-50 x^2-10 x^3+32 x^4-8 x^5)+e^x (60 x+336 x^2+36 x^3-192 x^4+48 x^5))}{9+90 x+189 x^2-180 x^3+36 x^4+e^x (-30 x-138 x^2+120 x^3-24 x^4)+e^{2 x} (25 x^2-20 x^3+4 x^4)}} (-1188-756 x-7452 x^2-7020 x^3+14904 x^4-6480 x^5+864 x^6+e^x (360+612 x+5040 x^2+9180 x^3-15336 x^4+6480 x^5-864 x^6)+e^{3 x} (500 x^3-600 x^4+240 x^5-32 x^6)+e^{2 x} (-900 x^2-3780 x^3+5256 x^4-2160 x^5+288 x^6))}{27+405 x+1863 x^2+1755 x^3-3726 x^4+1620 x^5-216 x^6+e^{2 x} (225 x^2+945 x^3-1314 x^4+540 x^5-72 x^6)+e^{3 x} (-125 x^3+150 x^4-60 x^5+8 x^6)+e^x (-135 x-1296 x^2-2295 x^3+3834 x^4-1620 x^5+216 x^6)} \, dx\) [327]
3.4.28
\(\int \genfrac {}{}{}{}{3-2 x+\log (4)+4 e^{16+e^{16+4 x}+4 x} (i \pi +\log (5-\log (3)))}{i \pi +\log (5-\log (3))} \, dx\) [328]
3.4.29
\(\int \genfrac {}{}{}{}{(15 x+4 x^2+e^x (-6 x-x^2)) \log (x^2)+(20+4 x) \log (2 \log (x^2))+x \log (x^2) \log ^2(2 \log (x^2))}{x \log (x^2)} \, dx\) [329]
3.4.30
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{1}{16} (1+8 \log (2 \log (\genfrac {}{}{}{}{e^5+e^x}{x}))+16 \log ^2(2 \log (\genfrac {}{}{}{}{e^5+e^x}{x})))} (-e^5+e^x (-1+x)+(-4 e^5+e^x (-4+4 x)) \log (2 \log (\genfrac {}{}{}{}{e^5+e^x}{x})))}{(2 e^5 x+2 e^x x) \log (\genfrac {}{}{}{}{e^5+e^x}{x})} \, dx\) [330]
3.4.31
\(\int \genfrac {}{}{}{}{-32 \log (3)+32 \log (3) \log (\genfrac {}{}{}{}{x}{3})+(-8+16 x) \log (3) \log ^2(\genfrac {}{}{}{}{x}{3})-8 \log (3) \log ^2(\genfrac {}{}{}{}{x}{3}) \log (x)}{(-4 x \log (\genfrac {}{}{}{}{x}{3})-x^2 \log ^2(\genfrac {}{}{}{}{x}{3})+x \log ^2(\genfrac {}{}{}{}{x}{3}) \log (x)) \log ^2(\genfrac {}{}{}{}{16 x^2+8 x^3 \log (\genfrac {}{}{}{}{x}{3})+x^4 \log ^2(\genfrac {}{}{}{}{x}{3})+(-8 x^2 \log (\genfrac {}{}{}{}{x}{3})-2 x^3 \log ^2(\genfrac {}{}{}{}{x}{3})) \log (x)+x^2 \log ^2(\genfrac {}{}{}{}{x}{3}) \log ^2(x)}{\log ^2(\genfrac {}{}{}{}{x}{3})})} \, dx\) [331]
3.4.32
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{-9+2 x \log (3+e^x+4 x^2)}{x \log (3+e^x+4 x^2)}} (9 e^x x+72 x^2+(27+9 e^x+36 x^2) \log (3+e^x+4 x^2))}{(3 x^2+e^x x^2+4 x^4) \log ^2(3+e^x+4 x^2)} \, dx\) [332]
3.4.33
\(\int \genfrac {}{}{}{}{-4-6 x+7 x^2-x^3-x^4+2 x^5-x^6}{x^3+2 x^4-x^5-2 x^6+x^7} \, dx\) [333]
3.4.34
\(\int \genfrac {}{}{}{}{5-5 e^x}{(e^x-x) \log (-e^x+x) \log (\log (-e^x+x))} \, dx\) [334]
3.4.35
\(\int \genfrac {}{}{}{}{112+8 e^2+e (-60-14 x)+56 x+7 x^2}{64+4 e^2+e (-32-8 x)+32 x+4 x^2} \, dx\) [335]
3.4.36
\(\int \genfrac {}{}{}{}{e^x (-4050 x-2025 x^2+81 x^3+(-2025-2106 x+81 x^2) \log (5))+e^{2+e^x} (e^{2 x} (2700 x^2-108 x^3+(2700 x-108 x^2) \log (5))+e^x (5400 x+2700 x^2-108 x^3+(2700+2808 x-108 x^2) \log (5)))+e^{6+3 e^x} (e^{2 x} (900 x^2-36 x^3+(900 x-36 x^2) \log (5))+e^x (600 x+300 x^2-12 x^3+(300+312 x-12 x^2) \log (5)))+e^{8+4 e^x} (e^x (-50 x-25 x^2+x^3+(-25-26 x+x^2) \log (5))+e^{2 x} (-100 x^2+4 x^3+(-100 x+4 x^2) \log (5)))+e^{4+2 e^x} (e^x (-2700 x-1350 x^2+54 x^3+(-1350-1404 x+54 x^2) \log (5))+e^{2 x} (-2700 x^2+108 x^3+(-2700 x+108 x^2) \log (5)))}{-15625+1875 x-75 x^2+x^3} \, dx\) [336]
3.4.37
\(\int \genfrac {}{}{}{}{-64+16 e^5 x^2+e^{-1-x+x^2} (-x^5+2 x^6)}{x^5} \, dx\) [337]
3.4.38
\(\int \genfrac {}{}{}{}{4 e^{2 x}+(e^x (-x+x^2)+e^{2 x} (-10 x+20 x^2)) \log (x)+e^{2 x} (-8+8 x) \log (x) \log (\log (x))}{15 x^3 \log (x)} \, dx\) [338]
3.4.39
\(\int \genfrac {}{}{}{}{16 x-8 x^3+(-24 x^2-12 x^3) \log (x)+(-24 x^2-12 x^3) \log (2+x)}{2+x} \, dx\) [339]
3.4.40
\(\int \genfrac {}{}{}{}{x+(24 x-5 x^2) \log (x)+6 x \log (x) \log (\genfrac {}{}{}{}{5}{\log (x)})}{\sqrt [3]{4-x+\log (\genfrac {}{}{}{}{5}{\log (x)})} (e (12-3 x) \log (x)+3 e \log (x) \log (\genfrac {}{}{}{}{5}{\log (x)}))} \, dx\) [340]
3.4.41
\(\int \genfrac {}{}{}{}{-6 x+9 x^2+e^{x^2} (3-3 x+9 x^2-12 x^3-6 x^4)+(-3 x^2+6 e^{x^2} x^3) \log (x)}{1-4 x+2 x^2+4 x^3+x^4+(2 x-4 x^2-2 x^3) \log (x)+x^2 \log ^2(x)} \, dx\) [341]
3.4.42
\(\int \genfrac {}{}{}{}{128 x^{14}+64 x^{15}+8 x^{16}+(64 x^{14}+288 x^{15}+140 x^{16}+18 x^{17}) \log (3 x)+(384 x^{13}+192 x^{14}+24 x^{15}+(192 x^{13}+1056 x^{14}+524 x^{15}+68 x^{16}) \log (3 x)) \log (x \log ^2(3 x))+(384 x^{12}+192 x^{13}+24 x^{14}+(192 x^{12}+1440 x^{13}+732 x^{14}+96 x^{15}) \log (3 x)) \log ^2(x \log ^2(3 x))+(128 x^{11}+64 x^{12}+8 x^{13}+(64 x^{11}+864 x^{12}+452 x^{13}+60 x^{14}) \log (3 x)) \log ^3(x \log ^2(3 x))+(192 x^{11}+104 x^{12}+14 x^{13}) \log (3 x) \log ^4(x \log ^2(3 x))}{\log (3 x)} \, dx\) [342]
3.4.43
\(\int \genfrac {}{}{}{}{-7 x-7 \log (3)+(2+9 x+4 x^2) \log (\genfrac {}{}{}{}{1+4 x}{2+x})}{(2+9 x+4 x^2) \log ^2(\genfrac {}{}{}{}{1+4 x}{2+x})} \, dx\) [343]
3.4.44
\(\int \genfrac {}{}{}{}{-768+448 x-64 x^2-4 x^3+x^4+(-192+112 x-20 x^2+x^3) \log (2)+e^{-\genfrac {}{}{}{}{4 x}{-4+x}} (64-32 x+20 x^2+(16-8 x+x^2) \log (2))+(-384 x+224 x^2-40 x^3+2 x^4+e^{-\genfrac {}{}{}{}{4 x}{-4+x}} (32 x-16 x^2+2 x^3)) \log (-12+e^{-\genfrac {}{}{}{}{4 x}{-4+x}}+x)}{-192+112 x-20 x^2+x^3+e^{-\genfrac {}{}{}{}{4 x}{-4+x}} (16-8 x+x^2)} \, dx\) [344]
3.4.45
\(\int \genfrac {}{}{}{}{e^{-2 x} (e^{2 x} (-2 x+x^2) \log ^2(2-x)+e^{\genfrac {}{}{}{}{9+3 x}{\log (2-x)}} (-18-6 x+(-12+6 x) \log (2-x)+(8-4 x) \log ^2(2-x))+e^{\genfrac {}{}{}{}{9+3 x}{2 \log (2-x)}} (e^x (9 x+3 x^2)+e^x (6 x-3 x^2) \log (2-x)+e^x (4-6 x+2 x^2) \log ^2(2-x)))}{(-4+2 x) \log ^2(2-x)} \, dx\) [345]
3.4.46
\(\int \genfrac {}{}{}{}{1}{15} (-4+42 x+75 x^2+e^4 (-4+50 x)) \, dx\) [346]
3.4.47
\(\int \genfrac {}{}{}{}{-12 x^3+e^{2 x} (24 x^2-24 x^3)+e^{1-x} x (e^{4 x} (-1+x)-x^2-3 x^3+e^{2 x} (2 x+6 x^2-8 x^3))}{3 e^{4 x} x-6 e^{2 x} x^2+3 x^3+e^{1-x} x (e^{4 x} x-2 e^{2 x} x^2+x^3)} \, dx\) [347]
3.4.48
\(\int (e^2-2 e^{3+x}+2 e^{-1+e^{-3+x^2}+x^2} x) \, dx\) [348]
3.4.49
\(\int (e^{4 e^4+6 x-3 x^2} (60-60 x)+e^{8 e^4+12 x-6 x^2} (12-12 x)+e^5 (1+2 x)) \, dx\) [349]
3.4.50
\(\int \genfrac {}{}{}{}{(38+6 x) \log (\genfrac {}{}{}{}{-1875+475 x+47 x^2+x^3}{-5624+1425 x+141 x^2+3 x^3})}{421800-230603 x+15151 x^2+4302 x^3+207 x^4+3 x^5} \, dx\) [350]
3.4.51
\(\int (-4 e^{x^4} x^3+e (2+50 x)) \, dx\) [351]
3.4.52
\(\int \genfrac {}{}{}{}{-x \log (x)+(5+x+(5+x) \log (x)) \log (5+x)+(-5+e^x (-5-x)-x) \log ^2(5+x)}{(5+x) \log ^2(5+x)} \, dx\) [352]
3.4.53
\(\int \genfrac {}{}{}{}{54+e^{2 x}-396 x-282 x^2-48 x^3+e^x (-3-81 x-17 x^2+15 x^3+4 x^4+e^4 (9+6 x+x^2))}{3 e^{2 x}+27 x^2-198 x^3+291 x^4+264 x^5+48 x^6+e^8 (27+18 x+3 x^2)+e^4 (-54 x+180 x^2+138 x^3+24 x^4)+e^x (-18 x+66 x^2+24 x^3+e^4 (18+6 x))} \, dx\) [353]
3.4.54
\(\int \genfrac {}{}{}{}{e^{20+4 x} (-1-4 x)+2 x+e^{x^2} (e^{20+4 x} (-4-24 x)+8 x+8 x^2)+(1-4 e^{20+4 x}+e^{x^2} (4-16 e^{20+4 x})) \log (\genfrac {}{}{}{}{1}{5} (3+12 e^{x^2}))}{1+4 e^{x^2}} \, dx\) [354]
3.4.55
\(\int \genfrac {}{}{}{}{e^{x+x \log (\genfrac {}{}{}{}{x^2}{(9+x) \log ^2(4)})} (27+2 x+(9+x) \log (\genfrac {}{}{}{}{x^2}{(9+x) \log ^2(4)}))}{9+x} \, dx\) [355]
3.4.56
\(\int \genfrac {}{}{}{}{80+36 x+(-40+18 x) \log (x)-9 x \log ^2(x)}{9 x} \, dx\) [356]
3.4.57
\(\int (125000+30000 x+8 e^{4 x^2} x+2400 x^2+64 x^3+(150000+24000 x+960 x^2) \log (2)+(75000+7200 x+96 x^2) \log ^2(2)+(20000+960 x) \log ^3(2)+(3000+48 x) \log ^4(2)+240 \log ^5(2)+8 \log ^6(2)+e^{3 x^2} (-8-600 x-48 x^2-240 x \log (2)-24 x \log ^2(2))+e^{2 x^2} (600+15048 x+2400 x^2+96 x^3+(240+12000 x+960 x^2) \log (2)+(24+3600 x+96 x^2) \log ^2(2)+480 x \log ^3(2)+24 x \log ^4(2))+e^{x^2} (-15000-127400 x-30096 x^2-2400 x^3-64 x^4+(-12000-150960 x-24000 x^2-960 x^3) \log (2)+(-3600-75096 x-7200 x^2-96 x^3) \log ^2(2)+(-480-20000 x-960 x^2) \log ^3(2)+(-24-3000 x-48 x^2) \log ^4(2)-240 x \log ^5(2)-8 x \log ^6(2))) \, dx\) [357]
3.4.58
\(\int \genfrac {}{}{}{}{-1030725+20952000 x-144180000 x^2+350400000 x^3-100000000 x^4+(-202500+4050000 x-27000000 x^2+60000000 x^3) \log (x)}{14641 x^5+6050 x^5 \log (x)+625 x^5 \log ^2(x)} \, dx\) [358]
3.4.59
\(\int \genfrac {}{}{}{}{(-100 x+50 e^5 x) \log (\genfrac {}{}{}{}{1}{3} (9+2 x-e^5 x))+(450+100 x-50 e^5 x) \log ^2(\genfrac {}{}{}{}{1}{3} (9+2 x-e^5 x))+e^{10 e^x} ((-4 x+2 e^5 x) \log (\genfrac {}{}{}{}{1}{3} (9+2 x-e^5 x))+(18+4 x-2 e^5 x+e^x (-90 x-20 x^2+10 e^5 x^2)) \log ^2(\genfrac {}{}{}{}{1}{3} (9+2 x-e^5 x)))+e^{5 e^x} ((-40 x+20 e^5 x) \log (\genfrac {}{}{}{}{1}{3} (9+2 x-e^5 x))+(180+40 x-20 e^5 x+e^x (-450 x-100 x^2+50 e^5 x^2)) \log ^2(\genfrac {}{}{}{}{1}{3} (9+2 x-e^5 x)))}{-9 x^3-2 x^4+e^5 x^4} \, dx\) [359]
3.4.60
\(\int \genfrac {}{}{}{}{-48 x^2+(-40-80 x+8 x^2) \log (5)}{25 x^2-10 x^3+x^4+(50 x-20 x^2+2 x^3) \log (5)+(25-10 x+x^2) \log ^2(5)} \, dx\) [360]
3.4.61
\(\int \genfrac {}{}{}{}{32-8 x+(-8+8 x) \log (-1+x)}{-16+24 x-9 x^2+x^3} \, dx\) [361]
3.4.62
\(\int \genfrac {}{}{}{}{x+\genfrac {}{}{}{}{11 e^2 x}{5}+6 e^x x}{6 x} \, dx\) [362]
3.4.63
\(\int \genfrac {}{}{}{}{25 x^2+e^x (-100 e^{4/x}+96 x^2)+(10 x^2+e^x (-40 e^{4/x}+39 x^2)) \log (x)+(x^2+e^x (-4 e^{4/x}+4 x^2)) \log ^2(x)}{-25 x^2+e^x (25 e^{4/x} x^2+95 x^3)+(-10 x^2+e^x (10 e^{4/x} x^2+39 x^3)) \log (x)+(-x^2+e^x (e^{4/x} x^2+4 x^3)) \log ^2(x)} \, dx\) [363]
3.4.64
\(\int \genfrac {}{}{}{}{-4 x^2-8 x^3+(3 x^2+4 x^3) \log (x)+(16+64 x+64 x^2) \log ^5(x)}{(16+64 x+64 x^2) \log ^5(x)} \, dx\) [364]
3.4.65
\(\int \genfrac {}{}{}{}{20+8 x+8 x \log (x)+e^{14-x} (25 x+20 x^2+4 x^3) \log ^2(x)}{(25 x+20 x^2+4 x^3) \log ^2(x)} \, dx\) [365]
3.4.66
\(\int \genfrac {}{}{}{}{16 e^4+e^{4+2 x} x^2+e^{4+x} (-4+4 x)}{-32+16 x+e^x (-20 x+8 x^2)+e^{2 x} (-3 x^2+x^3)} \, dx\) [366]
3.4.67
\(\int \genfrac {}{}{}{}{-64-324 x}{15 x} \, dx\) [367]
3.4.68
\(\int -\genfrac {}{}{}{}{15 e^{-3/x}}{x^2} \, dx\) [368]
3.4.69
\(\int \genfrac {}{}{}{}{e^{-2 x} (-4+14 x-8 x^2+e (-16+18 x-4 x^2)+e^{2 x} (-4 x+5 x^2+e (3-6 x+2 x^2))+(-2+6 x-4 x^2+e (-4+4 x)+e^{2 x} (e (1-x)-2 x+2 x^2)) \log (1-x))}{-1+x} \, dx\) [369]
3.4.70
\(\int \genfrac {}{}{}{}{1}{3} e^{\genfrac {}{}{}{}{1}{16} (-9-24 e^5-16 e^{10})} x^{\genfrac {}{}{}{}{2}{3} e^{\genfrac {}{}{}{}{1}{16} (-9-24 e^5-16 e^{10})} x} (2+2 \log (x)) \, dx\) [370]
3.4.71
\(\int \genfrac {}{}{}{}{-x^2+2 x^3+e^{\genfrac {}{}{}{}{2 (30-40 x^2+x^3+x^2 \log (x))}{x}} (-60-78 x^2+4 x^3+2 x^2 \log (x))+e^{\genfrac {}{}{}{}{30-40 x^2+x^3+x^2 \log (x)}{x}} (-60 x+2 x^2-78 x^3+4 x^4+2 x^3 \log (x))}{x^2} \, dx\) [371]
3.4.72
\(\int \genfrac {}{}{}{}{50 x+e^{-2 e^x+2 x} (-2 e^{2+x} x+e^2 (1+2 x))}{-400+4 e^{2-2 e^x+2 x} x+100 x^2} \, dx\) [372]
3.4.73
\(\int \genfrac {}{}{}{}{120 x+44 x^2+4 x^3+(-20 x^2-4 x^3) \log (x)+(72-48 x \log (x)+8 x^2 \log ^2(x)) \log (5+x)}{45+9 x+(-30 x-6 x^2) \log (x)+(5 x^2+x^3) \log ^2(x)} \, dx\) [373]
3.4.74
\(\int \genfrac {}{}{}{}{e^8 (8+16 x) \log (5)}{16+e^{16}+128 x+384 x^2+512 x^3+256 x^4+e^8 (8+32 x+32 x^2)} \, dx\) [374]
3.4.75
\(\int \genfrac {}{}{}{}{-48-470 x-378 x^2+30 x^3+50 x^4+(-48-16 x+216 x^2-240 x^3-200 x^4) \log (x)}{-1728-33264 x-181611 x^2-200033 x^3+5697 x^4+79731 x^5+10255 x^6-11475 x^7-1125 x^8+625 x^9} \, dx\) [375]
3.4.76
\(\int \genfrac {}{}{}{}{-9025-190 x-x^2+(190 x+2 x^2) \log (x)+(-950-10 x) \log ^2(x)-10 x \log ^3(x)+75 \log ^4(x)}{25 x \log ^2(x)} \, dx\) [376]
3.4.77
\(\int \genfrac {}{}{}{}{1}{4} ((3-10 x+(3-2 x) \log (3)) \log (4)+(-4-4 \log (3)) \log (4) \log (x)+(1+\log (3)) \log (4) \log ^2(x)) \, dx\) [377]
3.4.78
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{-9+6 x+x^2}{9 x}} (9+x^2)+(63 x-9 e^{\genfrac {}{}{}{}{-9+6 x+x^2}{9 x}} x) \log (7-e^{\genfrac {}{}{}{}{-9+6 x+x^2}{9 x}}) \log (\log (7-e^{\genfrac {}{}{}{}{-9+6 x+x^2}{9 x}}))}{(-63 x^3+9 e^{\genfrac {}{}{}{}{-9+6 x+x^2}{9 x}} x^3) \log (7-e^{\genfrac {}{}{}{}{-9+6 x+x^2}{9 x}})} \, dx\) [378]
3.4.79
\(\int \genfrac {}{}{}{}{2+4 x}{e^2 (5 x^2+10 x^3+5 x^4)} \, dx\) [379]
3.4.80
\(\int \genfrac {}{}{}{}{-15+30 x+45 \log (5)}{e^2} \, dx\) [380]
3.4.81
\(\int \genfrac {}{}{}{}{1}{25} (25-1350 x-1000 e^4 x-300 e^8 x-40 e^{12} x-2 e^{16} x-75 x^2) \, dx\) [381]
3.4.82
\(\int (20 x^3+9 e^{10-2 e^x-2 x} (10 x-10 x^2-10 e^x x^2)+3 e^{5-e^x-x} (30 x^2-10 x^3-10 e^x x^3)) \, dx\) [382]
3.4.83
\(\int \genfrac {}{}{}{}{e^2+(-2 x-8 x^2+6 x^3+e^x (2 x+e x)+e (-x-4 x^2+3 x^3)) \log ^2(x)}{x \log ^2(x)} \, dx\) [383]
3.4.84
\(\int \genfrac {}{}{}{}{-1+7 x^2-2 x^4-x \log (2 e^{\genfrac {}{}{}{}{1+x^2}{x}})}{3 x^3} \, dx\) [384]
3.4.85
\(\int \genfrac {}{}{}{}{e^{4+2 e^{-\genfrac {}{}{}{}{1}{-4+x}}+16 \log ^2(x)} (-32+16 x+2 e^{-\genfrac {}{}{}{}{1}{-4+x}} x-2 x^2+(512-256 x+32 x^2) \log (x))}{16 x^3-8 x^4+x^5} \, dx\) [385]
3.4.86
\(\int \genfrac {}{}{}{}{-4 x^4+2 x^5+(16 x+8 x^2+e^8 (4 x+2 x^2)+e^4 (16 x+8 x^2)) \log (5)+(4 x^3-2 x^4+(-16+e^4 (-16-8 x)+e^8 (-4-2 x)-8 x) \log (5)) \log (\genfrac {}{}{}{}{-x^2+x^3+(4+4 e^4+e^8) \log (5)}{x^2})}{-x^3+x^4+(4 x+4 e^4 x+e^8 x) \log (5)} \, dx\) [386]
3.4.87
\(\int \genfrac {}{}{}{}{e^{-e^4} (-e^3 x^3+e^{10} (-1+3 x)+4 e^{10} \log (x))}{x^5} \, dx\) [387]
3.4.88
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{e}{\log (\genfrac {}{}{}{}{3+e^{8+x}}{e^8})}} (e^{8+x} (-24 e-e^3 x)+(3 e^2+e^{10+x}) \log ^2(\genfrac {}{}{}{}{3+e^{8+x}}{e^8}))}{(3+e^{8+x}) \log ^2(\genfrac {}{}{}{}{3+e^{8+x}}{e^8})} \, dx\) [388]
3.4.89
\(\int \genfrac {}{}{}{}{-5196890+1036324 \log (3)}{19431075+30540 x+12 x^2+(-7772430-6108 x) \log (3)+777243 \log ^2(3)} \, dx\) [389]
3.4.90
\(\int \genfrac {}{}{}{}{-500-80 x^2+(-250+100 x-40 x^2+16 x^3) \log (x)}{(-5000 x+5600 x^2-2160 x^3+288 x^4) \log (2)+(-500 x+400 x^2-80 x^3) \log (2) \log (x)+(-125 x+150 x^2-60 x^3+8 x^4) \log (2) \log ^2(x)+(-5000 x+5600 x^2-2160 x^3+288 x^4+(-500 x+400 x^2-80 x^3) \log (x)+(-125 x+150 x^2-60 x^3+8 x^4) \log ^2(x)) \log (\genfrac {}{}{}{}{1000-720 x+144 x^2+(100-40 x) \log (x)+(25-20 x+4 x^2) \log ^2(x)}{100-80 x+16 x^2})} \, dx\) [390]
3.4.91
\(\int \genfrac {}{}{}{}{1}{8} e^{2 x} (729 x+1053 x^2-184 x^3-280 x^4+16 x^5+16 x^6) \, dx\) [391]
3.4.92
\(\int \genfrac {}{}{}{}{98 x+308 x^2+242 x^3+e^{\genfrac {}{}{}{}{1}{7 x+11 x^2}} (49 x+154 x^2+121 x^3)+(98 x+308 x^2+242 x^3+e^{\genfrac {}{}{}{}{1}{7 x+11 x^2}} (7+71 x+154 x^2+121 x^3)) \log (x)}{196 x+616 x^2+484 x^3+e^{\genfrac {}{}{}{}{2}{7 x+11 x^2}} (49 x+154 x^2+121 x^3)+e^{\genfrac {}{}{}{}{1}{7 x+11 x^2}} (196 x+616 x^2+484 x^3)} \, dx\) [392]
3.4.93
\(\int \genfrac {}{}{}{}{6 \log (5)+e^x (-27-18 x \log (5)-3 x^2 \log ^2(5))}{(96+62 x \log (5)+10 x^2 \log ^2(5)+e^x (9+6 x \log (5)+x^2 \log ^2(5))) \log (\genfrac {}{}{}{}{32+10 x \log (5)+e^x (3+x \log (5))}{3+x \log (5)}) \log ^2(\log (\genfrac {}{}{}{}{32+10 x \log (5)+e^x (3+x \log (5))}{3+x \log (5)}))} \, dx\) [393]
3.4.94
\(\int \genfrac {}{}{}{}{1+2 x}{(x+x^2) \log ^2(4)} \, dx\) [394]
3.4.95
\(\int \genfrac {}{}{}{}{e^{-\genfrac {}{}{}{}{8}{4 x+e^{\genfrac {}{}{}{}{x^2}{5}} x}} (640+320 x+20 e^{\genfrac {}{}{}{}{2 x^2}{5}} x+e^{\genfrac {}{}{}{}{x^2}{5}} (160+160 x+64 x^2))}{80 x+40 e^{\genfrac {}{}{}{}{x^2}{5}} x+5 e^{\genfrac {}{}{}{}{2 x^2}{5}} x} \, dx\) [395]
3.4.96
\(\int (-6+2 x+6 x^2 \log (16)) \, dx\) [396]
3.4.97
\(\int \genfrac {}{}{}{}{-16 e^{\genfrac {}{}{}{}{16}{\log (x)}}+(-3365 x+149462 x^2-2478498 x^3+19518724 x^4) \log ^2(x)+e^{\genfrac {}{}{}{}{12}{\log (x)}} (96-2256 x+188 x \log ^2(x))+e^{\genfrac {}{}{}{}{8}{\log (x)}} (-272+9008 x-106032 x^2+(-1126 x+26508 x^2) \log ^2(x))+e^{\genfrac {}{}{}{}{4}{\log (x)}} (288-12752 x+211312 x^2-1661168 x^3+(3188 x-105656 x^2+1245876 x^3) \log ^2(x))}{x \log ^2(x)} \, dx\) [397]
3.4.98
\(\int 6 e^{e^3 (20+8 e)} \, dx\) [398]
3.4.99
\(\int \genfrac {}{}{}{}{2+2 x+5 x^3-10 x^4+15 x^5-20 x^6+(10 x^2-20 x^3+30 x^4-40 x^5) \log (x)+(5 x-10 x^2+15 x^3-20 x^4) \log ^2(x)}{5 x^3+10 x^2 \log (x)+5 x \log ^2(x)} \, dx\) [399]
3.4.100
\(\int \genfrac {}{}{}{}{-5625-2625 x^2-250 x^4+e^{\genfrac {}{}{}{}{2 (25 x^4-10 x^5+x^6)}{25-10 e^x x+e^{2 x} x^2}} (-250+150 e^x x-30 e^{2 x} x^2+2 e^{3 x} x^3)+e^x (3375 x+1575 x^3+150 x^5)+e^{2 x} (-675 x^2-315 x^4-30 x^6)+e^{3 x} (45 x^3+21 x^5+2 x^7)+e^{\genfrac {}{}{}{}{25 x^4-10 x^5+x^6}{25-10 e^x x+e^{2 x} x^2}} (-2375-500 x^2-500 x^4+250 x^5-30 x^6+e^{2 x} (-285 x^2-60 x^4)+e^{3 x} (19 x^3+4 x^5)+e^x (1425 x+300 x^3+50 x^5-80 x^6+24 x^7-2 x^8))}{-3125-1250 x^2-125 x^4+e^{\genfrac {}{}{}{}{2 (25 x^4-10 x^5+x^6)}{25-10 e^x x+e^{2 x} x^2}} (-125+75 e^x x-15 e^{2 x} x^2+e^{3 x} x^3)+e^x (1875 x+750 x^3+75 x^5)+e^{2 x} (-375 x^2-150 x^4-15 x^6)+e^{3 x} (25 x^3+10 x^5+x^7)+e^{\genfrac {}{}{}{}{25 x^4-10 x^5+x^6}{25-10 e^x x+e^{2 x} x^2}} (-1250-250 x^2+e^x (750 x+150 x^3)+e^{2 x} (-150 x^2-30 x^4)+e^{3 x} (10 x^3+2 x^5))} \, dx\) [400]
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