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3.3
Integrals 201 to 300
3.3.1
\(\int \genfrac {}{}{}{}{-150-20 x-2 x^2}{75 x+20 x^2+x^3} \, dx\) [201]
3.3.2
\(\int \genfrac {}{}{}{}{2 e^{x^2} x^4-2 e^{e^{\genfrac {}{}{}{}{\log ^2(\genfrac {}{}{}{}{174}{7})}{x^2}}+\genfrac {}{}{}{}{\log ^2(\genfrac {}{}{}{}{174}{7})}{x^2}} \log ^2(\genfrac {}{}{}{}{174}{7})}{x^3} \, dx\) [202]
3.3.3
\(\int \genfrac {}{}{}{}{e^{-1-e^{1+x+x^2}+\genfrac {}{}{}{}{3 e^{-1-e^{1+x+x^2}}}{1568 x^2}} (-6+e^{1+x+x^2} (-3 x-6 x^2))}{1568 x^3} \, dx\) [203]
3.3.4
\(\int \genfrac {}{}{}{}{-10+74 x-32 x^2+18 x^3-28 x^4-70 x^5+50 x^6}{2 x-11 x^2+7 x^3-23 x^4+81 x^5-85 x^6+25 x^7} \, dx\) [204]
3.3.5
\(\int \genfrac {}{}{}{}{-1-e^x x^2 \log (2)+(-1+2 x-x^2) \log (2)+\log (x)}{x^2 \log (2)} \, dx\) [205]
3.3.6
\(\int \genfrac {}{}{}{}{e^{-3+x^4} (-1+4 x^4)}{e^{-6+2 x^4}+2 e^{-3+x^4} x+x^2} \, dx\) [206]
3.3.7
\(\int \genfrac {}{}{}{}{50+20 x^2+2 x^4+(-100-20 x^2) \log (5)+50 \log ^2(5)+e^{\genfrac {}{}{}{}{9 x+x^3-5 x \log (5)}{-5-x^2+5 \log (5)}} (-45-6 x^2-x^4+(70+10 x^2) \log (5)-25 \log ^2(5))}{25+10 x^2+x^4+(-50-10 x^2) \log (5)+25 \log ^2(5)} \, dx\) [207]
3.3.8
\(\int \genfrac {}{}{}{}{1}{256} (-256+48 x^2-24 e x^2+3 e^2 x^2+e^{-5+x} (-32 x-16 x^2+e^2 (-2 x-x^2)+e (16 x+8 x^2))) \, dx\) [208]
3.3.9
\(\int \genfrac {}{}{}{}{e^{-2 e^4} (-10 e^{2 x} x^2+e^{2 x} (15 x^2+10 x^3) \log (x))}{\log ^3(x)} \, dx\) [209]
3.3.10
\(\int \genfrac {}{}{}{}{3+e^4+x-\log (5)}{3+e^4+x} \, dx\) [210]
3.3.11
\(\int \genfrac {}{}{}{}{-96 x-x^2+x^3+(5-6 x+11 x^2-2 x^3) \log (-5+x)+x \log (x)}{(-5 x+x^2) \log ^2(-5+x)} \, dx\) [211]
3.3.12
\(\int \genfrac {}{}{}{}{x+(-2 e x+2 e^{e^{10}} x+2 x \log (\genfrac {}{}{}{}{x}{4})) \log (-e+e^{e^{10}}+\log (\genfrac {}{}{}{}{x}{4}))}{-e+e^{e^{10}}+\log (\genfrac {}{}{}{}{x}{4})} \, dx\) [212]
3.3.13
\(\int (1-e^x+e^{5+x} (3+3 x)) \, dx\) [213]
3.3.14
\(\int \genfrac {}{}{}{}{e^{-2 x+\genfrac {}{}{}{}{e^{-2 x} (25+e^{4 x}+e^{3 x} (-2-2 \log (2))+e^x (10+10 \log (2))+e^{2 x} (-9+2 \log (2)+\log ^2(2)))}{x}} (-25-50 x+e^{4 x} (-1+2 x)+e^x (-10-10 x+(-10-10 x) \log (2))+e^{3 x} (2-2 x+(2-2 x) \log (2))+e^{2 x} (9-2 \log (2)-\log ^2(2)))}{x^2} \, dx\) [214]
3.3.15
\(\int \genfrac {}{}{}{}{1}{3} e^{\genfrac {}{}{}{}{1}{3} (e^{31/5} x^2+e^{\genfrac {}{}{}{}{6}{5}+x} x^2)} (2 e^{31/5} x+e^{\genfrac {}{}{}{}{6}{5}+x} (2 x+x^2)) \, dx\) [215]
3.3.16
\(\int \genfrac {}{}{}{}{90}{e \log (2)} \, dx\) [216]
3.3.17
\(\int \genfrac {}{}{}{}{64 e^{-6+x} (-14+48 x+32 x^2)+16 e^{-4+x} (2-9 x+8 x^2-16 x^3)}{\genfrac {}{}{}{}{2048}{e^6}-\genfrac {}{}{}{}{768 x}{e^4}+\genfrac {}{}{}{}{96 x^2}{e^2}-4 x^3} \, dx\) [217]
3.3.18
\(\int \genfrac {}{}{}{}{-32+32 x^2+(-32+32 x) \log (3)+(16 x^3-16 x^4) \log (1+x+\log (3))+(24 x^2-8 x^3-32 x^4+(24 x^2-32 x^3) \log (3)) \log ^2(1+x+\log (3))+4 x^6 \log ^3(1+x+\log (3))+(6 x^5+6 x^6+6 x^5 \log (3)) \log ^4(1+x+\log (3))}{1+x+\log (3)} \, dx\) [218]
3.3.19
\(\int \genfrac {}{}{}{}{e^2 x+32 e^4 \log (-2 x)}{2 x+x^2+16 e^2 x \log ^2(-2 x)} \, dx\) [219]
3.3.20
\(\int (8-4 x-3 x^2-3 e x^2+2 x \log (4)) \, dx\) [220]
3.3.21
\(\int \genfrac {}{}{}{}{e^{e^{-\genfrac {}{}{}{}{e^{x/9}}{-18+\log ^2(5)}}+x} (162+e^{\genfrac {}{}{}{}{x}{9}-\genfrac {}{}{}{}{e^{x/9}}{-18+\log ^2(5)}}-9 \log ^2(5))}{-162+9 \log ^2(5)} \, dx\) [221]
3.3.22
\(\int \genfrac {}{}{}{}{48 (i \pi +\log (3))+48 (i \pi +\log (3)) \log (5 x)-15 x^2 (i \pi +\log (3))^2 \log ^2(5 x)}{512+320 x^2 (i \pi +\log (3)) \log (5 x)+50 x^4 (i \pi +\log (3))^2 \log ^2(5 x)} \, dx\) [222]
3.3.23
\(\int \genfrac {}{}{}{}{2-4 x}{x^3} \, dx\) [223]
3.3.24
\(\int \genfrac {}{}{}{}{-10+2 e^4+2 x^4}{x^3} \, dx\) [224]
3.3.25
\(\int \genfrac {}{}{}{}{45+x^2+45 \log (-\genfrac {}{}{}{}{1}{3 x})}{x^2} \, dx\) [225]
3.3.26
\(\int \genfrac {}{}{}{}{40+15 x+e^{4 e^e} (20 x+5 x^2)}{e^{8 e^e} (4 x^3+x^4)+e^{4 e^e} (-8 x^2-2 x^3) \log (-\genfrac {}{}{}{}{2}{4 x^2+x^3})+(4 x+x^2) \log ^2(-\genfrac {}{}{}{}{2}{4 x^2+x^3})} \, dx\) [226]
3.3.27
\(\int \genfrac {}{}{}{}{1}{5} e^{4+x^{e^{\genfrac {}{}{}{}{1}{5} (230+e^5-x)}}} x^{-1+e^{\genfrac {}{}{}{}{1}{5} (230+e^5-x)}} (5 e^{\genfrac {}{}{}{}{1}{5} (230+e^5-x)}-e^{\genfrac {}{}{}{}{1}{5} (230+e^5-x)} x \log (x)) \, dx\) [227]
3.3.28
\(\int \genfrac {}{}{}{}{1}{8} e^{-2 e^5+e^{\genfrac {}{}{}{}{1}{16} e^{-2 e^5} (16 e^{2+2 e^5}-4 x^4+4 x^5-x^6+(-4 x^3+2 x^4) \log (5)-x^2 \log ^2(5))}+\genfrac {}{}{}{}{1}{16} e^{-2 e^5} (16 e^{2+2 e^5}-4 x^4+4 x^5-x^6+(-4 x^3+2 x^4) \log (5)-x^2 \log ^2(5))} (-8 x^3+10 x^4-3 x^5+(-6 x^2+4 x^3) \log (5)-x \log ^2(5)) \, dx\) [228]
3.3.29
\(\int \genfrac {}{}{}{}{784 e^x x+560 e^x x \log (\log (12))+156 e^x x \log ^2(\log (12))+20 e^x x \log ^3(\log (12))+e^x x \log ^4(\log (12))+\log (4+2 e^x) (1568+784 e^x+(1120+560 e^x) \log (\log (12))+(312+156 e^x) \log ^2(\log (12))+(40+20 e^x) \log ^3(\log (12))+(2+e^x) \log ^4(\log (12)))}{2+e^x} \, dx\) [229]
3.3.30
\(\int x^3 \, dx\) [230]
3.3.31
\(\int \genfrac {}{}{}{}{(-4-2 x+e^{4 e^{2 x}} x)^{\genfrac {}{}{}{}{1}{x}} (-2 x+e^{4 e^{2 x}} (x+8 e^{2 x} x^2)+(4+2 x-e^{4 e^{2 x}} x) \log (-4-2 x+e^{4 e^{2 x}} x))}{-4 x^2-2 x^3+e^{4 e^{2 x}} x^3} \, dx\) [231]
3.3.32
\(\int \genfrac {}{}{}{}{(16+8 x+x^2+e^x (-32-16 x-2 x^2)+e^{2 x} (16+8 x+x^2)) \log ^2(x)+e^{\genfrac {}{}{}{}{-4 x-8 \log (x)}{(-4-x+e^x (4+x)) \log (x)}} (-16-4 x+e^x (16+4 x)+(16+e^x (-16+16 x+4 x^2)) \log (x)+(-8+e^x (40+8 x)) \log ^2(x))}{(16+8 x+x^2+e^x (-32-16 x-2 x^2)+e^{2 x} (16+8 x+x^2)) \log ^2(x)} \, dx\) [232]
3.3.33
\(\int \genfrac {}{}{}{}{640+45 x^2-144 e^{x^2} x^4}{90 x^3} \, dx\) [233]
3.3.34
\(\int \genfrac {}{}{}{}{80+460 x+540 x^2+120 x^3+e^x (-270-630 x-270 x^2-30 x^3)-40 \log (2)}{-512 x^3-4416 x^4-16152 x^5-32615 x^6-39654 x^7-29709 x^8-13500 x^9-3537 x^{10}-486 x^{11}-27 x^{12}+e^{3 x} (19683 x^3+39366 x^4+32805 x^5+14580 x^6+3645 x^7+486 x^8+27 x^9)+(768 x^3+4416 x^4+9804 x^5+10512 x^6+5544 x^7+1296 x^8+108 x^9) \log (2)+(-384 x^3-1104 x^4-864 x^5-144 x^6) \log ^2(2)+64 x^3 \log ^3(2)+e^{2 x} (-17496 x^3-73629 x^4-118098 x^5-95175 x^6-42660 x^7-10827 x^8-1458 x^9-81 x^{10}+(8748 x^3+11664 x^4+5832 x^5+1296 x^6+108 x^7) \log (2))+e^x (5184 x^3+33264 x^4+86625 x^5+118386 x^6+92079 x^7+41580 x^8+10719 x^9+1458 x^{10}+81 x^{11}+(-5184 x^3-18360 x^4-22176 x^5-11376 x^6-2592 x^7-216 x^8) \log (2)+(1296 x^3+864 x^4+144 x^5) \log ^2(2))} \, dx\) [234]
3.3.35
\(\int \genfrac {}{}{}{}{1600+4 e^4-2240 x+480 x^2-112 x^3+20 x^4}{7840000-2240000 x+1728000 x^2-448000 x^3+149600 x^4-33600 x^5+6320 x^6-1120 x^7+129 x^8-14 x^9+x^{10}+e^8 (49-14 x+x^2)+e^4 (39200-11200 x+4720 x^2-1120 x^3+178 x^4-28 x^5+2 x^6)} \, dx\) [235]
3.3.36
\(\int \genfrac {}{}{}{}{e^{3+2 x+\genfrac {}{}{}{}{e^{3+2 x} (3-4 x+x^2)}{x \log (2)}} (-3+6 x-7 x^2+2 x^3)+5 x^2 \log (2)}{x^2 \log (2)} \, dx\) [236]
3.3.37
\(\int \genfrac {}{}{}{}{e^3 (-3 x^2-2 x^3)+e^3 (12+8 x) \log ^4(2)+(-6 x+e^3 (-6 x^2-2 x^3)) \log (3+e^3 (3 x+x^2))}{3+e^3 (3 x+x^2)} \, dx\) [237]
3.3.38
\(\int \genfrac {}{}{}{}{1}{81} (162+e^{-1+4 e^{\genfrac {}{}{}{}{256 x^4}{81}}+5 x} (405+4096 e^{\genfrac {}{}{}{}{256 x^4}{81}} x^3)) \, dx\) [238]
3.3.39
\(\int \genfrac {}{}{}{}{142+2 x-216 x^2+45 x^4}{142 x+x^2-72 x^3+9 x^5} \, dx\) [239]
3.3.40
\(\int \genfrac {}{}{}{}{1}{18} (e^{\genfrac {}{}{}{}{5+27 x}{9 x}} (5-18 x) \log (5)-54 x \log (5)) \, dx\) [240]
3.3.41
\(\int \genfrac {}{}{}{}{-2-4 x^2+e^3 (-2+4 x-4 x^2+12 x^3)}{e^3 (3 x^3+6 x^5+3 x^7)} \, dx\) [241]
3.3.42
\(\int \genfrac {}{}{}{}{2 e^{-1+2 e^{-1+x}+x} x+(-1-9 x-2 x^2) \log (\log (4))}{x \log (\log (4))} \, dx\) [242]
3.3.43
\(\int \genfrac {}{}{}{}{4+x+e^{\genfrac {}{}{}{}{128+e^6 (64-8 x)+8 e^6 \log (4+x)}{e^6}} (24+8 x)}{4+x} \, dx\) [243]
3.3.44
\(\int \genfrac {}{}{}{}{50+e^2 (-2-3 x)+e^{e^5} (-2-3 x)+72 x-4 x^2}{625 x^3+1200 x^4+526 x^5-48 x^6+x^7+e^4 (x^3+2 x^4+x^5)+e^{2 e^5} (x^3+2 x^4+x^5)+e^2 (-50 x^3-98 x^4-46 x^5+2 x^6)+e^{e^5} (-50 x^3-98 x^4-46 x^5+2 x^6+e^2 (2 x^3+4 x^4+2 x^5))} \, dx\) [244]
3.3.45
\(\int \genfrac {}{}{}{}{e^{-\genfrac {}{}{}{}{(-4-x^2) \log ^2(3)+400 \log ^4(x)}{\log ^2(3)}} (8 x^2 \log ^2(3)-6400 \log ^3(x))}{x \log ^2(3)} \, dx\) [245]
3.3.46
\(\int \genfrac {}{}{}{}{-15 e^5-20 x}{5 e^5 x+4 x^2} \, dx\) [246]
3.3.47
\(\int \genfrac {}{}{}{}{20 x}{\log (4)} \, dx\) [247]
3.3.48
\(\int \genfrac {}{}{}{}{-36 x^2-2 x^5+(-36 x+10 x^4) \log (5)-20 x^3 \log ^2(5)+20 x^2 \log ^3(5)-10 x \log ^4(5)+2 \log ^5(5)}{-x^5+5 x^4 \log (5)-10 x^3 \log ^2(5)+10 x^2 \log ^3(5)-5 x \log ^4(5)+\log ^5(5)} \, dx\) [248]
3.3.49
\(\int \genfrac {}{}{}{}{-54 x-108 x^2-60 x^3-21 x^4-3 x^5+e^3 (-3 x^3+x^4)+(3 x^3-x^4) \log (x)+(216 x+306 x^2+123 x^3+23 x^4+2 x^5+e^3 (-54 x-63 x^2-15 x^3-2 x^4)+(54 x+63 x^2+15 x^3+2 x^4) \log (x)) \log (4-e^3+x+\log (x))+(36 x-3 x^2-3 x^3+e^3 (-9 x+3 x^2)+(9 x-3 x^2) \log (x)) \log ^2(4-e^3+x+\log (x))+(12+e^3 (-3+x)-x-x^2+(3-x) \log (x)) \log ^3(4-e^3+x+\log (x))}{108 x^3+135 x^4+63 x^5+13 x^6+x^7+e^3 (-27 x^3-27 x^4-9 x^5-x^6)+(27 x^3+27 x^4+9 x^5+x^6) \log (x)+(324 x^2+405 x^3+189 x^4+39 x^5+3 x^6+e^3 (-81 x^2-81 x^3-27 x^4-3 x^5)+(81 x^2+81 x^3+27 x^4+3 x^5) \log (x)) \log (4-e^3+x+\log (x))+(324 x+405 x^2+189 x^3+39 x^4+3 x^5+e^3 (-81 x-81 x^2-27 x^3-3 x^4)+(81 x+81 x^2+27 x^3+3 x^4) \log (x)) \log ^2(4-e^3+x+\log (x))+(108+135 x+63 x^2+13 x^3+x^4+e^3 (-27-27 x-9 x^2-x^3)+(27+27 x+9 x^2+x^3) \log (x)) \log ^3(4-e^3+x+\log (x))} \, dx\) [249]
3.3.50
\(\int (1+4 e^{4 x}-1000 x+600 x^3-120 x^5+8 x^7+e^{3 x} (60-8 x-12 x^2)+e^{2 x} (300-120 x-120 x^2+24 x^3+12 x^4)+e^x (500-600 x-300 x^2+240 x^3+60 x^4-24 x^5-4 x^6)) \, dx\) [250]
3.3.51
\(\int -e^x \, dx\) [251]
3.3.52
\(\int (21+i \pi +18 x+\log (\genfrac {}{}{}{}{1}{4} (-5+e^2))) \, dx\) [252]
3.3.53
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{28561-3042 e x+81 e^2 x^2+e^{30/x} (2426112-11664 e x-8748 e^2 x^2)+e^{10/x} (316368+1404 e x-972 e^2 x^2)+e^{20/x} (1314144+50382 e x+4374 e^2 x^2)+e^{40/x} (1679616-209952 e x+6561 e^2 x^2)}{81-972 e^{10/x}+4374 e^{20/x}-8748 e^{30/x}+6561 e^{40/x}}} (1014 e x^2-54 e^2 x^3+e^{50/x} (-209952 e x^2+13122 e^2 x^3)+e^{20/x} (18252000-4860 e^2 x^3+e (378000 x-15390 x^2))+e^{10/x} (2197000+810 e^2 x^3+e (-117000 x-3510 x^2))+e^{30/x} (50544000+14580 e^2 x^3+e (891000 x+54270 x^2))+e^{40/x} (46656000-21870 e^2 x^3+e (-2916000 x+58320 x^2)))}{-27 x^2+405 e^{10/x} x^2-2430 e^{20/x} x^2+7290 e^{30/x} x^2-10935 e^{40/x} x^2+6561 e^{50/x} x^2} \, dx\) [253]
3.3.54
\(\int \genfrac {}{}{}{}{e^{-3+\genfrac {}{}{}{}{8 e x^2+e^2 (4 x^2+e (-2 x+4 x^2))-8 e^3 \log (\log (x))}{e^3 x}} (-8 e^3+(8 e x^2+e^2 (4 x^2+4 e x^2)) \log (x)+8 e^3 \log (x) \log (\log (x)))}{x^2 \log (x)} \, dx\) [254]
3.3.55
\(\int -\genfrac {}{}{}{}{e^{5-\genfrac {}{}{}{}{1}{125} e^{1+2 \log (5) \log (x)}+2 \log (5) \log (x)} \log (5)}{500 x} \, dx\) [255]
3.3.56
\(\int \genfrac {}{}{}{}{e^{2 e^{-x}-x} (2 e^x-2 x \log (\genfrac {}{}{}{}{60}{x+4 e^2 x}))}{x \log ^3(\genfrac {}{}{}{}{60}{x+4 e^2 x})} \, dx\) [256]
3.3.57
\(\int e^{3 x+3 x^2} (2 x+3 x^2+6 x^3) \, dx\) [257]
3.3.58
\(\int \genfrac {}{}{}{}{-e^{12}+2 e^6 x^2-x^4+(e^{12}-2 e^6 x^2+x^4) \log (x)+(e^{12} (-1-2 x)+x^2-x^4-2 x^5+e^6 (1+2 x^2+4 x^3)) \log ^2(x)}{(e^{12}-2 e^6 x^2+x^4) \log ^2(x)} \, dx\) [258]
3.3.59
\(\int \genfrac {}{}{}{}{-25 e^{-7+x} x+e^{-7+x} (50+75 x+25 x^2) \log (2+x)+(50+25 x) \log ^2(2+x)}{(2+x) \log ^2(2+x)} \, dx\) [259]
3.3.60
\(\int \genfrac {}{}{}{}{-5+(-10 x^2+10 x^3) \log (\genfrac {}{}{}{}{-1+x}{2 x})+(-10+10 x) \log (\genfrac {}{}{}{}{-1+x}{2 x}) \log (x)}{(-x+x^2) \log (\genfrac {}{}{}{}{-1+x}{2 x})} \, dx\) [260]
3.3.61
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{x^2+2 e x^2+e^2 x^2+(-2 e x^2-2 e^2 x^2) \log (2)+e^2 x^2 \log ^2(2)}{1-2 e \log (2)+e^2 \log ^2(2)}} (2 x+4 e x+2 e^2 x+(-4 e x-4 e^2 x) \log (2)+2 e^2 x \log ^2(2))}{1-2 e \log (2)+e^2 \log ^2(2)} \, dx\) [261]
3.3.62
\(\int \genfrac {}{}{}{}{240+e^{2-x} (60+60 x)+e^x (240-30 x+e^{2-x} (60+60 x))+(15+15 e^x) \log (1+2 e^x+e^{2 x})}{x^2+e^x x^2} \, dx\) [262]
3.3.63
\(\int \genfrac {}{}{}{}{1}{3} (1-6 x) \, dx\) [263]
3.3.64
\(\int \genfrac {}{}{}{}{e^{-2 x} (e^{2 x} (-2000-400 x-3000 x^3+449700 x^4+135000 x^5+13500 x^6+450 x^7)+e^x (30000 x+39000 x^2-443400 x^3+315300 x^4+121500 x^5+13050 x^6+450 x^7) \log (4)+(-450000 x^3-135000 x^4-13500 x^5-450 x^6) \log ^2(4))}{1000 x^3+300 x^4+30 x^5+x^6} \, dx\) [264]
3.3.65
\(\int \genfrac {}{}{}{}{e^6+e^3 (5 x+x^2)+(-e^6+e^3 (-10 x-3 x^2)) \log (x)}{e^6 x^2+25 x^4+10 x^5+x^6+e^3 (10 x^3+2 x^4)} \, dx\) [265]
3.3.66
\(\int \genfrac {}{}{}{}{e^{6+x} (6750+7650 x+450 x^2-450 x^3)+e^6 (1620-90 x-120 x^2+30 x^3)+e^6 (900+120 x-60 x^2) \log (5-x)}{-5 x^2+x^3+e^{2 x} (-1125+225 x)+e^x (-150 x+30 x^2)+(e^x (150-30 x)+10 x-2 x^2) \log (5-x)+(-5+x) \log ^2(5-x)} \, dx\) [266]
3.3.67
\(\int \genfrac {}{}{}{}{-x^3+(3-x^3-5 x^4) \log (x)+4 x^3 \log (x) \log (\genfrac {}{}{}{}{4}{x \log (x)})}{\log (x)} \, dx\) [267]
3.3.68
\(\int \genfrac {}{}{}{}{-3+6 x+6 x^2+e (-1+2 x+2 x^2)+(3 x+e x) \log (2 x)}{8 x+4 x^2+2 x \log (2 x)} \, dx\) [268]
3.3.69
\(\int \genfrac {}{}{}{}{3 x+e^{e^5+x^2} (36-24 x^2)+e^{x^2} (36 x-24 x^3)+(e^{e^5+x^2} (-9+6 x^2)+e^{x^2} (-9 x+6 x^3)) \log (e^{e^5}+x)+(36 e^{e^5}+36 x+(-9 e^{e^5}-9 x) \log (e^{e^5}+x)) \log (-4+\log (e^{e^5}+x))+(12 e^{e^5+x^2}+12 e^{x^2} x+(-3 e^{e^5+x^2}-3 e^{x^2} x) \log (e^{e^5}+x)+(12 e^{e^5}+12 x+(-3 e^{e^5}-3 x) \log (e^{e^5}+x)) \log (-4+\log (e^{e^5}+x))) \log (\genfrac {}{}{}{}{x}{e^{x^2}+\log (-4+\log (e^{e^5}+x))})}{-16 e^{e^5+x^2} x^2-16 e^{x^2} x^3+(4 e^{e^5+x^2} x^2+4 e^{x^2} x^3) \log (e^{e^5}+x)+(-16 e^{e^5} x^2-16 x^3+(4 e^{e^5} x^2+4 x^3) \log (e^{e^5}+x)) \log (-4+\log (e^{e^5}+x))+(-16 e^{e^5+x^2} x^2-16 e^{x^2} x^3+(4 e^{e^5+x^2} x^2+4 e^{x^2} x^3) \log (e^{e^5}+x)+(-16 e^{e^5} x^2-16 x^3+(4 e^{e^5} x^2+4 x^3) \log (e^{e^5}+x)) \log (-4+\log (e^{e^5}+x))) \log (\genfrac {}{}{}{}{x}{e^{x^2}+\log (-4+\log (e^{e^5}+x))})+(-4 e^{e^5+x^2} x^2-4 e^{x^2} x^3+(e^{e^5+x^2} x^2+e^{x^2} x^3) \log (e^{e^5}+x)+(-4 e^{e^5} x^2-4 x^3+(e^{e^5} x^2+x^3) \log (e^{e^5}+x)) \log (-4+\log (e^{e^5}+x))) \log ^2(\genfrac {}{}{}{}{x}{e^{x^2}+\log (-4+\log (e^{e^5}+x))})} \, dx\) [269]
3.3.70
\(\int \genfrac {}{}{}{}{-e^8-20 e^4 x-75 x^2+e^5 (-e^8-10 e^4 x-25 x^2)+e^{x^2} (1+e^5+2 x^2)+(e^8-e^{x^2}+10 e^4 x+25 x^2) \log (e^8 x-e^{x^2} x+10 e^4 x^2+25 x^3)}{-e^8 x^2+e^{x^2} x^2-10 e^4 x^3-25 x^4} \, dx\) [270]
3.3.71
\(\int \genfrac {}{}{}{}{-5 e^{2 x}+e^x (-45+15 x+10 x^2-3 x^3)+e^x (-5+5 x+3 x^2) \log (x)+e^x (-5+5 x+3 x^2) \log (81 x^4)}{16 x^2+e^{2 x} x^2-8 x^3+x^4+e^x (8 x^2-2 x^3)+(8 x^2+2 e^x x^2-2 x^3) \log (x)+x^2 \log ^2(x)+(8 x^2+2 e^x x^2-2 x^3+2 x^2 \log (x)) \log (81 x^4)+x^2 \log ^2(81 x^4)} \, dx\) [271]
3.3.72
\(\int \genfrac {}{}{}{}{-12+60 x-60 x^2+e^{2+x} (-5+20 x-20 x^2)+(-45+192 x-234 x^2+60 x^3+e^{2+x} (5-20 x+20 x^2)) \log (\genfrac {}{}{}{}{-45+e^{2+x} (5-10 x)+102 x-30 x^2}{-15+30 x})}{(-45+192 x-234 x^2+60 x^3+e^{2+x} (5-20 x+20 x^2)) \log (\genfrac {}{}{}{}{-45+e^{2+x} (5-10 x)+102 x-30 x^2}{-15+30 x})} \, dx\) [272]
3.3.73
\(\int -2 e^{4+\sqrt {e}-e^3-x} \, dx\) [273]
3.3.74
\(\int \genfrac {}{}{}{}{4 e^4 x^3+e^{4+\genfrac {}{}{}{}{4}{x^2}} (8-x^2)}{x^2} \, dx\) [274]
3.3.75
\(\int \genfrac {}{}{}{}{-1-4 x+6 e x^2+e^{1+2 x} (2+4 x)+e^{1+x} (8 x+4 x^2)}{-x+2 e^{1+2 x} x-2 x^2+4 e^{1+x} x^2+2 e x^3} \, dx\) [275]
3.3.76
\(\int \genfrac {}{}{}{}{3-e^x-x}{1+e^x-x} \, dx\) [276]
3.3.77
\(\int \genfrac {}{}{}{}{e^x x^3+(324+324 x+e^{e^{4 x}} (324+324 x)) \log (1+e^{e^{4 x}})+2 e^x x^2 \log (x)+e^x x \log ^2(x)+e^{e^{4 x}} (-1296 e^{4 x} x^2+e^x x^3+(-1296 e^{4 x} x+2 e^x x^2) \log (x)+e^x x \log ^2(x))}{x^3+2 x^2 \log (x)+x \log ^2(x)+e^{e^{4 x}} (x^3+2 x^2 \log (x)+x \log ^2(x))} \, dx\) [277]
3.3.78
\(\int \genfrac {}{}{}{}{2+2 x}{x} \, dx\) [278]
3.3.79
\(\int \genfrac {}{}{}{}{32 e^{3+2 x} x^3+e^3 (-18 e^2+18 e x+6 x^3+2 x^4)+e^{3+x} (32 x^3+8 x^4+e (24 x-24 x^2))}{x^3} \, dx\) [279]
3.3.80
\(\int \genfrac {}{}{}{}{-e^2+20 e^{\genfrac {}{}{}{}{1}{x}}}{x^2} \, dx\) [280]
3.3.81
\(\int \genfrac {}{}{}{}{e^3 (-156-72 x)-156 x-46 x^2+12 x^3+(156+72 x) \log (3)+(52 x^2+36 x^3-2 x^4+e^3 (52 x+36 x^2)+(-52 x-36 x^2) \log (3)) \log (-e^3-x+\log (3))+(-4 e^3 x^3-4 x^4+4 x^3 \log (3)) \log ^2(-e^3-x+\log (3))}{-e^3-x+\log (3)} \, dx\) [281]
3.3.82
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{4-x \log (5+3 x)}{\log (5+3 x)}} (-48+(-20-12 x) \log ^2(5+3 x))}{(5+3 x) \log ^2(5+3 x)} \, dx\) [282]
3.3.83
\(\int \genfrac {}{}{}{}{-1458-162 x+e^{2 x} (-18+18 x)+e^x (-324+144 x+18 x^2)+e^{2 \log ^2(x)} (-162+324 \log (x))+e^{\log ^2(x)} (-972-54 x+e^x (-108+54 x)+(972+108 e^x+108 x) \log (x))}{x^3} \, dx\) [283]
3.3.84
\(\int \genfrac {}{}{}{}{-9 e^{\genfrac {}{}{}{}{2+x^3}{x^3}}-9 e^{\genfrac {}{}{}{}{2 (2+x^3)}{x^3}}-10 x^2}{12 x^4} \, dx\) [284]
3.3.85
\(\int e^{-2 x} (150 x+20 e^{2 x} x-150 x^2+e^{3 x} (1+10 x+5 x^2)) \, dx\) [285]
3.3.86
\(\int \genfrac {}{}{}{}{e^{-x-e^{-x} (-4 e^x+e^{2 x}+4 x)} (e^x-4 x-e^{2 x} x+4 x^2)}{5 \log (5)} \, dx\) [286]
3.3.87
\(\int \genfrac {}{}{}{}{3 2^{4 x}-4 \log (2)}{1+2^{4 x} (-5+3 x)} \, dx\) [287]
3.3.88
\(\int \genfrac {}{}{}{}{4 x^2+e^{\genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{1}{4} (20-24 x-5 x \log (x))}}{x}+\genfrac {}{}{}{}{1}{4} (20-24 x-5 x \log (x))} (-4-29 x-5 x \log (x))}{4 x^2} \, dx\) [288]
3.3.89
\(\int \genfrac {}{}{}{}{1}{6} e^{\genfrac {}{}{}{}{1}{2} (e^x-4 e^{\genfrac {}{}{}{}{1}{3} (4 x+6 x^2)}+e^5 x)} (3 e^5+3 e^x+e^{\genfrac {}{}{}{}{1}{3} (4 x+6 x^2)} (-16-48 x)) \, dx\) [289]
3.3.90
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{3 e^{4 x}-47 x-21 x^2-3 x^3}{3 x^3}} (94 x+21 x^2+e^{4 x} (-9+12 x))}{3 x^4} \, dx\) [290]
3.3.91
\(\int \genfrac {}{}{}{}{-3+\log (\genfrac {}{}{}{}{x^3}{3+\log (21)}) \log (\log (\genfrac {}{}{}{}{x^3}{3+\log (21)}))}{\log (\genfrac {}{}{}{}{x^3}{3+\log (21)}) \log ^2(\log (\genfrac {}{}{}{}{x^3}{3+\log (21)}))} \, dx\) [291]
3.3.92
\(\int \genfrac {}{}{}{}{-6-4 e^{50-2 x}+8 x^3+e^{25-x} (8 x-4 x^2)}{-3+e^{50-2 x}-3 x+2 e^{25-x} x^2+x^4} \, dx\) [292]
3.3.93
\(\int \genfrac {}{}{}{}{(-6 x^3+4 x^4) \log (25)+e^{\genfrac {}{}{}{}{-1+\log (25)}{x^2 \log (25)}} (6-2 x+(-6+2 x-x^3) \log (25))}{x^3 \log (25)} \, dx\) [293]
3.3.94
\(\int \genfrac {}{}{}{}{160+e^{\genfrac {}{}{}{}{e^x}{8 x}+x} (5-5 x)-128 x^2-160 \log (x)}{32 x^2} \, dx\) [294]
3.3.95
\(\int \genfrac {}{}{}{}{-6+x+x^2+e (3+x)+x \log (\genfrac {}{}{}{}{e^{-x}}{x^3})}{4 x+e^2 x-4 x^2+x^3+e (-4 x+2 x^2)} \, dx\) [295]
3.3.96
\(\int \genfrac {}{}{}{}{-520-6 x-190 \log (x)-5 \log ^2(x)}{5 x^2} \, dx\) [296]
3.3.97
\(\int \genfrac {}{}{}{}{8}{(8 x-108 x^2) \log (\genfrac {}{}{}{}{2-27 x}{x})+(-2 x+27 x^2) \log (\genfrac {}{}{}{}{2-27 x}{x}) \log (\log (\genfrac {}{}{}{}{2-27 x}{x}))} \, dx\) [297]
3.3.98
\(\int \genfrac {}{}{}{}{2+(2+4 x^3) \log (30 x)-2 \log (30 x) \log (-x \log (30 x))}{x^4 \log (30 x)+x \log (30 x) \log (-x \log (30 x))} \, dx\) [298]
3.3.99
\(\int \genfrac {}{}{}{}{-480+280 x-40 x^2+15 x^3-5 x^4+(-80 x+40 x^2-48 x^3-5 x^4) \log (\genfrac {}{}{}{}{80-40 x+48 x^2+5 x^3}{5 x^2})}{80 x-40 x^2+48 x^3+5 x^4} \, dx\) [299]
3.3.100
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{x-e^{2/x} x-4 \log (15)}{x}} (-10 x^3+e^{2/x} (-10+10 x^2)+(-20+20 x^2) \log (15))}{x^2-2 x^4+x^6} \, dx\) [300]
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