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3.22
Integrals 2101 to 2200
3.22.1
\(\int \genfrac {}{}{}{}{e^x (84+6 e^5)+e^x (-70-70 x+14 x^2+e^5 (-5-5 x+x^2)) \log (x)}{1+(-10+2 x) \log (x)+(25-10 x+x^2) \log ^2(x)} \, dx\) [2101]
3.22.2
\(\int \genfrac {}{}{}{}{e^5 (3-12 x)+x-4 x^2+(-x+2 x^2) \log (x-2 x^2)}{-x^3+2 x^4+e^{10} (-9 x+18 x^2)+e^5 (-6 x^2+12 x^3)} \, dx\) [2102]
3.22.3
\(\int \genfrac {}{}{}{}{20880+41760 x+20880 x^2+(41760 x+41760 x^2) \log (x)+(1600 x+1600 x^2) \log ^2(x)}{68121 x+5220 x \log (x)+100 x \log ^2(x)} \, dx\) [2103]
3.22.4
\(\int \genfrac {}{}{}{}{1}{9} (108 x+e^{\genfrac {}{}{}{}{\log ^2(x)}{9}} (18+4 \log (x))-72 \log (x^2)-18 \log ^2(x^2)) \, dx\) [2104]
3.22.5
\(\int \genfrac {}{}{}{}{e^{-4-x} (18+6 x-15 x^2-3 x^3+(-6-6 x+9 x^2+3 x^3) \log (\genfrac {}{}{}{}{4+16 x+20 x^2+8 x^3+x^4}{x^2}))}{2+4 x+x^2} \, dx\) [2105]
3.22.6
\(\int \genfrac {}{}{}{}{-32-16 x+64 x^2+32 x^3+4 x^4+e^4 (-32 x^2-16 x^3-2 x^4)+e^x (16 x^2+8 x^3+x^4)}{16 x^2+8 x^3+x^4} \, dx\) [2106]
3.22.7
\(\int \genfrac {}{}{}{}{3 x^3+(30-30 x) \log (3) \log (25)}{x^3} \, dx\) [2107]
3.22.8
\(\int \genfrac {}{}{}{}{(6-2 x-4 x^2) \log ^2(1-x)+(x^2+(x-x^2) \log (1-x)-4 x \log ^2(1-x)) \log (-\genfrac {}{}{}{}{e^{-\genfrac {}{}{}{}{x}{4 \log (1-x)}}}{-1+x})+(-2+2 x) \log ^2(1-x) \log ^2(-\genfrac {}{}{}{}{e^{-\genfrac {}{}{}{}{x}{4 \log (1-x)}}}{-1+x})}{(-2+2 x) \log ^2(1-x)} \, dx\) [2108]
3.22.9
\(\int \genfrac {}{}{}{}{-512-448 x-226 x^2-56 x^3-8 x^4+e^x (160-218 x-202 x^2-142 x^3-40 x^4-8 x^5+(-32-14 x-4 x^2) \log (2))+e^{2 x} (90 x+30 x^2+20 x^3+(-18 x-6 x^2-4 x^3) \log (2))+(160+294 x+246 x^2+84 x^3+16 x^4+(-32-14 x-4 x^2) \log (2)+e^x (20 x-10 x^2+20 x^3+(-4 x+2 x^2-4 x^3) \log (2))) \log (x)+(-70 x-40 x^2+(14 x+8 x^2) \log (2)) \log ^2(x)}{e^{3 x} x+3 e^{2 x} x \log (x)+3 e^x x \log ^2(x)+x \log ^3(x)} \, dx\) [2109]
3.22.10
\(\int \genfrac {}{}{}{}{1}{25} (92-2 x) \, dx\) [2110]
3.22.11
\(\int (-144+2 e^{30}+148 x-24 x^2) \, dx\) [2111]
3.22.12
\(\int e^{-e^{x^2}} (3 x^2-2 e^{x^2} x^4+e^{e^{x^2}} (2+e^{6+x} (1+x))) \, dx\) [2112]
3.22.13
\(\int \genfrac {}{}{}{}{36 x^6-36 x^7+8 x^8+e^e (-64+180 x^6-144 x^7+4 x^8+8 x^9)+e^{2 e} (-160-40 x+225 x^6-135 x^7-31 x^8+11 x^9+2 x^{10})}{32 x^5+e^e (160 x^5+32 x^6)+e^{2 e} (200 x^5+80 x^6+8 x^7)} \, dx\) [2113]
3.22.14
\(\int \genfrac {}{}{}{}{10 e^{e^{5/x}+\genfrac {}{}{}{}{5}{x}} x-x^3+e^{-2+e^{5/x}+e^x+2 x} (-5 e^{5/x}-x+2 x^2+e^x x^2)}{x^3} \, dx\) [2114]
3.22.15
\(\int \genfrac {}{}{}{}{e^{-\genfrac {}{}{}{}{3-4 e^3}{4 x}} (e^x (-3+4 e^3-4 x^2)+(3 x-4 e^3 x+4 x^2) \log (4))}{4 x^2 \log (4)} \, dx\) [2115]
3.22.16
\(\int \genfrac {}{}{}{}{e^x (-4+(-6 x-4 x^2) \log (3)) (2+(3 x+2 x^2) \log (3)+(2 x+(3 x+7 x^2+2 x^3) \log (3)) \log (x))}{\log (3) (2 x+(3 x^2+2 x^3) \log (3))} \, dx\) [2116]
3.22.17
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{2 (4 x^2+e^x (4 x^2-4 x^3)+e^{2 x} (-e^3+x^2-2 x^3+x^4)+(4 x^2-4 x^3+e^x (-2 e^3+2 x^2-4 x^3+2 x^4)) \log (x)+(-e^3+x^2-2 x^3+x^4) \log ^2(x))}{e^{2 x}+2 e^x \log (x)+\log ^2(x)}} (-16 x+e^x (8 x-8 x^2)+e^{2 x} (16 x-32 x^2+8 x^3)+e^{3 x} (4 x-12 x^2+8 x^3)+(8 x+8 x^2+e^x (32 x-56 x^2+8 x^3)+e^{2 x} (12 x-36 x^2+24 x^3)) \log (x)+(16 x-24 x^2+e^x (12 x-36 x^2+24 x^3)) \log ^2(x)+(4 x-12 x^2+8 x^3) \log ^3(x))}{e^{3 x}+3 e^{2 x} \log (x)+3 e^x \log ^2(x)+\log ^3(x)} \, dx\) [2117]
3.22.18
\(\int \genfrac {}{}{}{}{-25-5 x+10 x^2+2 x^3+(-25-10 x+5 x^2+2 x^3+(-25-10 x) \log (x)) \log (\genfrac {}{}{}{}{1}{5} (5-x^2+5 \log (x)))}{5-x^2+5 \log (x)} \, dx\) [2118]
3.22.19
\(\int \genfrac {}{}{}{}{-200-280 x+18 x^2+122 x^3+34 x^4+(20 x^2-2 x^4) \log (x)}{100-140 x+9 x^2+68 x^3-24 x^4-8 x^5+4 x^6+(20 x^2-14 x^3-4 x^4+4 x^5) \log (x)+x^4 \log ^2(x)} \, dx\) [2119]
3.22.20
\(\int (4+e^{64-16 e^{2 e^{4 x}-x}+2 e^{4 x}-x} (16-128 e^{4 x})) \, dx\) [2120]
3.22.21
\(\int \genfrac {}{}{}{}{1}{x} \, dx\) [2121]
3.22.22
\(\int \genfrac {}{}{}{}{-20 x-40 x^2+e^{\genfrac {}{}{}{}{e^x}{5}} (20+8 e^x x^2)+(-40 e^{\genfrac {}{}{}{}{e^x}{5}} x+40 x^2) \log (e^{\genfrac {}{}{}{}{e^x}{5}}-x)}{5 e^{\genfrac {}{}{}{}{e^x}{5}} x^3 \log (2)-5 x^4 \log (2)} \, dx\) [2122]
3.22.23
\(\int \genfrac {}{}{}{}{e^{2+\genfrac {}{}{}{}{e^2}{(16 x+8 x^3+x^5) \log ^2(81)}} (-4-5 x^2)}{(64 x^2+48 x^4+12 x^6+x^8) \log ^2(81)} \, dx\) [2123]
3.22.24
\(\int \genfrac {}{}{}{}{3+3 x+(3 e^x x^2+3 e^x x \log (x)) \log (x+\log (x))}{(-16 x^2+3 e^x x^2+(-16 x+3 e^x x) \log (x)) \log (x+\log (x))+(3 x^2+3 x \log (x)) \log (x+\log (x)) \log (\log (x+\log (x)))} \, dx\) [2124]
3.22.25
\(\int \genfrac {}{}{}{}{384+576 e^x+288 e^{2 x}+48 e^{3 x}+(8 x^2+4 e^x x^2) \log ^3(x)+(4 x^2+e^x (2 x^2-2 x^3)) \log ^4(x)}{8 x+12 e^x x+6 e^{2 x} x+e^{3 x} x} \, dx\) [2125]
3.22.26
\(\int \genfrac {}{}{}{}{-54 e^6 x^3+(-864 e^2+e^4 (-1296 x^2-540 x^3)) \log (x)+e^2 (864-10368 x-8640 x^2-1800 x^3) \log ^2(x)+(-24768-34560 x-14400 x^2-2000 x^3) \log ^3(x)}{27 e^6 x^3+e^4 (648 x^2+270 x^3) \log (x)+e^2 (5184 x+4320 x^2+900 x^3) \log ^2(x)+(13824+17280 x+7200 x^2+1000 x^3) \log ^3(x)} \, dx\) [2126]
3.22.27
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{2 x^3+30 \log (x)+15 x \log ^2(x)}{10 \log (x)+5 x \log ^2(x)}} (-4 x^2+(12 x^2-4 x^3) \log (x)+4 x^3 \log ^2(x))}{20 \log ^2(x)+20 x \log ^3(x)+5 x^2 \log ^4(x)} \, dx\) [2127]
3.22.28
\(\int e^{-x} (21-9 x-4 \log (3)) \, dx\) [2128]
3.22.29
\(\int \genfrac {}{}{}{}{x^2+(16 e^8+16 e^{2 e^5}-32 e^{4+e^5}) \log (x)+x^2 \log (x) \log (\log (x))}{x^2 \log (x)} \, dx\) [2129]
3.22.30
\(\int \genfrac {}{}{}{}{x+x^{\genfrac {}{}{}{}{3 e^{e^3+4 x^2}}{x}} (3 e^{e^3+4 x^2}+e^{e^3+4 x^2} (-3+24 x^2) \log (x))}{x^2} \, dx\) [2130]
3.22.31
\(\int \genfrac {}{}{}{}{-4-9 x+8 x^2+(-7+8 x) \log (2 x^2)+(-2 x-2 \log (2 x^2)) \log (x+\log (2 x^2))}{49 x^3-56 x^4+16 x^5+(49 x^2-56 x^3+16 x^4) \log (2 x^2)+(28 x^3-16 x^4+(28 x^2-16 x^3) \log (2 x^2)) \log (x+\log (2 x^2))+(4 x^3+4 x^2 \log (2 x^2)) \log ^2(x+\log (2 x^2))} \, dx\) [2131]
3.22.32
\(\int -\genfrac {}{}{}{}{54 e^{\genfrac {}{}{}{}{54-3 e^4+18 e^x}{15-e^4+6 e^x}+x}}{225-30 e^4+e^8+36 e^{2 x}+e^x (180-12 e^4)} \, dx\) [2132]
3.22.33
\(\int \genfrac {}{}{}{}{x^2+5 x^4+(-x^2-15 x^4) \log (x)+(-5-10 x^2) \log ^2(x)+5 \log ^3(x)}{16 x^4+160 x^6+400 x^8+(320 x^4+1600 x^6) \log (x)+(160 x^2+2400 x^4) \log ^2(x)+1600 x^2 \log ^3(x)+400 \log ^4(x)} \, dx\) [2133]
3.22.34
\(\int \genfrac {}{}{}{}{e^{-2 x} (-544 x-e^{3 x} x+66 x^2-2 x^3+e^{2 x} (1+x))}{x} \, dx\) [2134]
3.22.35
\(\int (405+405 (i \pi +\log (4))) \, dx\) [2135]
3.22.36
\(\int \genfrac {}{}{}{}{e^x (2 x-4 x^2)+e^{x+x^2} (x-2 x^2)+(e^x (4 x-2 x^2-2 x^3)+e^{x+x^2} (2 x-x^2-3 x^3+2 x^4)) \log (-x+x^2)+e^x (-9 x^2+4 x^4+4 x^5+x^6) \log ^2(-x+x^2)}{-4+e^{2 x^2} (-1+x)+4 x+e^{x^2} (-4+4 x)+(36 x-12 x^2-20 x^3-4 x^4+e^{x^2} (18 x-6 x^2-10 x^3-2 x^4)) \log (-x+x^2)+(-81 x^2-27 x^3+54 x^4+42 x^5+11 x^6+x^7) \log ^2(-x+x^2)} \, dx\) [2136]
3.22.37
\(\int \genfrac {}{}{}{}{(12+2 x+22 x^2-8 x^3) \log (\genfrac {}{}{}{}{4 e^x x^2}{1+8 x+16 x^2})+(-x-4 x^2) \log ^2(\genfrac {}{}{}{}{4 e^x x^2}{1+8 x+16 x^2})}{x+4 x^2} \, dx\) [2137]
3.22.38
\(\int \genfrac {}{}{}{}{-184-64 x-4 x^2+e^{625 e^{5-x}} (8+e^{5-x} (-5000 x-625 x^2))}{64+16 x+x^2} \, dx\) [2138]
3.22.39
\(\int \genfrac {}{}{}{}{-5+6 x}{6 x^2} \, dx\) [2139]
3.22.40
\(\int \genfrac {}{}{}{}{-450-1350 x+e^x (-30+120 x)+(-450 x+30 e^x x) \log (x)}{225 x+e^{2 x} x-450 x^2+225 x^3+e^x (30 x-30 x^2)} \, dx\) [2140]
3.22.41
\(\int (-2+3 x^2) \, dx\) [2141]
3.22.42
\(\int \genfrac {}{}{}{}{-14-5 x+24 x^2+11 x^3+(-4-2 x+6 x^2+3 x^3) \log (\genfrac {}{}{}{}{e^2}{2+x})}{-14 x-7 x^2+8 x^3+4 x^4+(-4 x-2 x^2+2 x^3+x^4) \log (\genfrac {}{}{}{}{e^2}{2+x})} \, dx\) [2142]
3.22.43
\(\int \genfrac {}{}{}{}{1}{2} e^{2+e^{\genfrac {}{}{}{}{1}{2} (-60 x^2+15 x^3)}-x} (-2+e^{\genfrac {}{}{}{}{1}{2} (-60 x^2+15 x^3)} (-120 x+45 x^2)) \, dx\) [2143]
3.22.44
\(\int \genfrac {}{}{}{}{e^{-e^{e+x}} (4 x \log (x)+e^{e^e} (-x+e^{e+x} x^2) \log ^2(x)+(-4 x^2+4 e^{e+x} x^3) \log ^2(x)+(-4 x-4 e^{e+x} x^2 \log (x)+e^{e^e} (-1-e^{e+x} x \log (x))) \log (\genfrac {}{}{}{}{1}{4} (e^{e^e}+4 x)))}{e^{e^e} x \log ^2(x)+4 x^2 \log ^2(x)} \, dx\) [2144]
3.22.45
\(\int \genfrac {}{}{}{}{4 x+e^{2 x} x+x^2+x \log ^2(4 e^3 x)+(5 x+x^2+e^x (10+2 x)+e^{2 x} (10 x+2 x^2)) \log (5+x)+\log (4 e^3 x) (2 e^x x+(10+2 x+e^x (10 x+2 x^2)) \log (5+x))}{5 x+x^2} \, dx\) [2145]
3.22.46
\(\int \genfrac {}{}{}{}{4 e^{-16+4 x}}{3+e^{-16+4 x}} \, dx\) [2146]
3.22.47
\(\int \genfrac {}{}{}{}{-7 x^2+e^x (2+x+x^2)}{7 x^2+e^x (-2 x+3 x^2+e^3 x^2+x^3)+e^x x^2 \log (x)} \, dx\) [2147]
3.22.48
\(\int \genfrac {}{}{}{}{e^{-25/x} (6 e^{25/x} x^2+e^{2 e^{-25/x}} (-2250-3000 x-1000 x^2))}{45 x^2+60 x^3+20 x^4} \, dx\) [2148]
3.22.49
\(\int \genfrac {}{}{}{}{-1-64 e^{-1250+2 x}+(3 x+e^{-1250+2 x} (-32+32 x)) \log (x)-3 x^2 \log ^2(x)+x^3 \log ^3(x)}{-1+3 x \log (x)-3 x^2 \log ^2(x)+x^3 \log ^3(x)} \, dx\) [2149]
3.22.50
\(\int (3+e^{4+4 e^{e^{e^x}}+e^{2 e^{e^x}}+e^{4+4 e^{e^{e^x}}+e^{2 e^{e^x}}+e^x}+e^x} (e^x+4 e^{e^{e^x}+e^x+x}+2 e^{2 e^{e^x}+e^x+x})) \, dx\) [2150]
3.22.51
\(\int \genfrac {}{}{}{}{120 x+2 e x-8 x^2+(64+e-4 x) \log (4096+e^2+e (128-8 x)-512 x+16 x^2)}{768+12 e-48 x} \, dx\) [2151]
3.22.52
\(\int \genfrac {}{}{}{}{21-8 x-11 x^2-2 x^3+(-32-46 x-16 x^2-2 x^3) \log (-\genfrac {}{}{}{}{\log (2)}{32+14 x+2 x^2})}{288-258 x-214 x^2+76 x^3+84 x^4+22 x^5+2 x^6} \, dx\) [2152]
3.22.53
\(\int e^{-\genfrac {}{}{}{}{1}{e^{7/18}}} (-21+21 e^{\genfrac {}{}{}{}{1}{e^{7/18}}}) \, dx\) [2153]
3.22.54
\(\int \genfrac {}{}{}{}{15-5 e^x-5 e^x x \log (x) \log (\log (x))+(27 x-27 e^x x+9 e^{2 x} x-e^{3 x} x) \log (x) \log ^2(\log (x))}{(9 x-6 e^x x+e^{2 x} x) \log (x) \log ^2(\log (x))} \, dx\) [2154]
3.22.55
\(\int \genfrac {}{}{}{}{162 e^x+e^{4 x^2} (8 e^{5 x}-32 e^{4 x} x+48 e^{3 x} x^2-32 e^{2 x} x^3+8 e^x x^4)+e^{2 x^2} (72 e^{3 x}+e^{2 x} (27-90 x)+27 x+54 x^3+e^x (-27-27 x-36 x^2))}{162+e^{2 x^2} (72 e^{2 x}-144 e^x x+72 x^2)+e^{4 x^2} (8 e^{4 x}-32 e^{3 x} x+48 e^{2 x} x^2-32 e^x x^3+8 x^4)} \, dx\) [2155]
3.22.56
\(\int \genfrac {}{}{}{}{-20 x^2+12 x^3-2 x^4+e^{\genfrac {}{}{}{}{-6+x^2}{x}} (-162+162 x-81 x^2+33 x^3-9 x^4+x^5)+(-18 x^2-48 x^3+54 x^4-18 x^5+2 x^6) \log (2 x)+(-54 x^3+54 x^4-18 x^5+2 x^6) \log ^2(2 x)}{-27 x^2+27 x^3-9 x^4+x^5} \, dx\) [2156]
3.22.57
\(\int e^{2-4 e-8 x+4 x^2+(-8+8 x) \log (4)+4 \log ^2(4)} (-8+8 x+8 \log (4)) \, dx\) [2157]
3.22.58
\(\int \genfrac {}{}{}{}{e^5 (-1-2 x)+(-6-24 x-24 x^2) \log (5 x)-e^5 \log (5 x) \log (\log (5 x))}{(6+24 x+24 x^2) \log (5 x)} \, dx\) [2158]
3.22.59
\(\int e^{100 x-240 x^2-20 e^x x^2} (1600-7680 x+e^x (-640 x-320 x^2)) \, dx\) [2159]
3.22.60
\(\int x^{-11+2 x} (-10+2 x+2 x \log (x)) \, dx\) [2160]
3.22.61
\(\int \genfrac {}{}{}{}{150-24 x-12 x \log (x)}{e^{10} x-4 e^5 x^2+4 x^3+(-100 x^2+8 x^3+e^5 (50 x-4 x^2)) \log (x)+(625 x-100 x^2+4 x^3) \log ^2(x)} \, dx\) [2161]
3.22.62
\(\int \genfrac {}{}{}{}{4}{(9+12 x+4 x^2) \log (5)} \, dx\) [2162]
3.22.63
\(\int \genfrac {}{}{}{}{28800 x+97200 x^2+119700 x^3+63900 x^4+13500 x^5+900 x^6+(960+1200 x+360 x^2+120 x^3) \log ^2(2)-32 \log ^4(2)}{225+675 x+675 x^2+225 x^3} \, dx\) [2163]
3.22.64
\(\int \genfrac {}{}{}{}{6561+e^{4-24 x+\genfrac {}{}{}{}{x^2}{13122}} (6561-157464 x+x^2)}{6561} \, dx\) [2164]
3.22.65
\(\int \genfrac {}{}{}{}{-17+12 x+12 x^2}{3+12 x+12 x^2} \, dx\) [2165]
3.22.66
\(\int \genfrac {}{}{}{}{-640+256 x-32 x^2+(320-144 x+16 x^2) \log (\genfrac {}{}{}{}{-5 x+x^2}{-4+x})}{(79380-35721 x+3969 x^2) \log ^3(\genfrac {}{}{}{}{-5 x+x^2}{-4+x})} \, dx\) [2166]
3.22.67
\(\int \genfrac {}{}{}{}{1}{3} e^{-x-e^{-x} (75 x-15 x^2+2 e^x x^2)} (-75 x+105 x^2-15 x^3+e^x (1-4 x^2)) \, dx\) [2167]
3.22.68
\(\int \genfrac {}{}{}{}{e^{-\genfrac {}{}{}{}{-18-9 x-8 x^2-6 x^3-2 x^4-x^5}{9+6 x^2+x^4}} (162 x+63 x^3+24 x^4+51 x^5-8 x^6-3 x^7-x^9+e^{\genfrac {}{}{}{}{-18-9 x-8 x^2-6 x^3-2 x^4-x^5}{9+6 x^2+x^4}} (-81+54 x-81 x^2+54 x^3-27 x^4+18 x^5-3 x^6+2 x^7))}{27+27 x^2+9 x^4+x^6} \, dx\) [2168]
3.22.69
\(\int e^{\genfrac {}{}{}{}{1}{5} (-5 x-80 x^2-x \log ^2(\genfrac {}{}{}{}{5}{x}))} (-5+e^{\genfrac {}{}{}{}{1}{5} (5 x+80 x^2+x \log ^2(\genfrac {}{}{}{}{5}{x}))}-160 x+2 \log (\genfrac {}{}{}{}{5}{x})-\log ^2(\genfrac {}{}{}{}{5}{x})) \, dx\) [2169]
3.22.70
\(\int \genfrac {}{}{}{}{-1176+172 x-172 x^3+24 x^4+e^5 (43 x^3-6 x^4)}{5 x^3} \, dx\) [2170]
3.22.71
\(\int \genfrac {}{}{}{}{24 x^2+72 x^3+72 x^4+48 x^5+e^{\genfrac {}{}{}{}{2 e^2}{3 x}} (6 x^2+18 x^3+18 x^4+12 x^5+e^2 (-2-4 x-6 x^2-4 x^3-2 x^4))}{3 x^2} \, dx\) [2171]
3.22.72
\(\int (-6+6 e^{2 x/3}+2 x-2 e^{x/3} x) \, dx\) [2172]
3.22.73
\(\int \genfrac {}{}{}{}{-4+2 x+(-x+x^2) \log (x)}{(-2 x+x^2) \log (x)} \, dx\) [2173]
3.22.74
\(\int \genfrac {}{}{}{}{27 e^{81 e^2+81 x} x+e^{1+\log ^2(x)} x^2 (2+2 \log (x))}{x} \, dx\) [2174]
3.22.75
\(\int \genfrac {}{}{}{}{-4 e^{4/x}+14 x^2+e^e x^2}{x^2} \, dx\) [2175]
3.22.76
\(\int (1+2 x-3 x^2+3 e^{x^3} x^2+e^x (-1+x+x^2-\log (25))+\log (25)) \, dx\) [2176]
3.22.77
\(\int \genfrac {}{}{}{}{e^{-e^{e^3+x}-2 x+x^2 \log (x)} (-1-2 x-e^{e^3+x} x+x^2+2 x^2 \log (x))}{x^2} \, dx\) [2177]
3.22.78
\(\int \genfrac {}{}{}{}{63-3 e^9-66 x+9 x^2-3 \log ^2(16)}{e^9+\log ^2(16)} \, dx\) [2178]
3.22.79
\(\int \genfrac {}{}{}{}{-2 x^3+e^{10} (-3+x^2)+e^5 (-6 x+2 x^3)+e^{2 e^3-2 x} (-2 x+e^5 (6-2 x^2))+e^{e^3-x} (-4 x^2+e^5 (-6+6 x+2 x^2-2 x^3))+(-6 x+2 x^3+e^{2 e^3-2 x} (6-2 x^2)+e^5 (-6+2 x^2)+e^{e^3-x} (-6+6 x+2 x^2-2 x^3)) \log (3-x^2)+(-3+x^2) \log ^2(3-x^2)}{e^{10} (-3+x^2)+e^5 (-6+2 x^2) \log (3-x^2)+(-3+x^2) \log ^2(3-x^2)} \, dx\) [2179]
3.22.80
\(\int \genfrac {}{}{}{}{1-50 x^2+e^{2 x} (25 x+50 x^2)}{x} \, dx\) [2180]
3.22.81
\(\int \genfrac {}{}{}{}{-e^{12+x} x+e^3 (-3-8 x^2)}{100 x+4 e^{18+2 x} x+160 x^3+64 x^5+e^{9+x} (40 x+32 x^3)+(40 x+8 e^{9+x} x+32 x^3) \log (2 x^3)+4 x \log ^2(2 x^3)} \, dx\) [2181]
3.22.82
\(\int \genfrac {}{}{}{}{(-8-6 x) \log ^2(5) \log (2 x-x \log (3))-3 x \log ^2(5) \log ^2(2 x-x \log (3))}{x} \, dx\) [2182]
3.22.83
\(\int \genfrac {}{}{}{}{e^{-8/x} (e^{4/x} (-2560 x-1280 x^2-160 x^3) \log (x)+e^{4/x} (-5120-2560 x+80 x^3) \log ^2(x)+(64 x+16 x^2) \log ^3(x)+(128+32 x-8 x^2) \log ^4(x))}{1600 x^2+1200 x^3+300 x^4+25 x^5} \, dx\) [2183]
3.22.84
\(\int \genfrac {}{}{}{}{-3 e^{\genfrac {}{}{}{}{x}{5 \log (2)}} x^3+(-150-15 x-180 x^3+90 x^4+495 x^5+420 x^6+75 x^7) \log (2)}{5 x^3 \log (2)} \, dx\) [2184]
3.22.85
\(\int \genfrac {}{}{}{}{-9-10 x^4+4 x^5+2 x^4 \log (2 x)}{2 x^4} \, dx\) [2185]
3.22.86
\(\int \genfrac {}{}{}{}{25-25 x^2-25 \log (-3 x)+\log (\genfrac {}{}{}{}{1}{4} (4+e^5)) (-3-x+4 x^2+(3+2 x) \log (-3 x))}{\log (\genfrac {}{}{}{}{1}{4} (4+e^5)) (x^2-2 x^3+x^4+(2 x-2 x^2) \log (-3 x)+\log ^2(-3 x))} \, dx\) [2186]
3.22.87
\(\int (-1+e^x+e^3 (-46 x+3 x^2)) \, dx\) [2187]
3.22.88
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{2 (e^{3-x}-x^2)}{x}} (2 x^2-4 x^3+e^{3-x} (-4 x-4 x^2))+x^{.\genfrac {}{}{}{}{1}{2}/x} (25-25 \log (x))}{50 x^2} \, dx\) [2188]
3.22.89
\(\int e^{1-e^{18 x^7 \log ^8(e^5 x)}+2 e^{9 x^7 \log ^8(e^5 x)} x-x^2} (-2 x+e^{18 x^7 \log ^8(e^5 x)} (-144 x^6 \log ^7(e^5 x)-126 x^6 \log ^8(e^5 x))+e^{9 x^7 \log ^8(e^5 x)} (2+144 x^7 \log ^7(e^5 x)+126 x^7 \log ^8(e^5 x))) \, dx\) [2189]
3.22.90
\(\int \genfrac {}{}{}{}{16 x^2-32 x^3+96 x^7+e^{e^{5 x/4}} (-4+5 e^{5 x/4} x)}{16 x^2} \, dx\) [2190]
3.22.91
\(\int \genfrac {}{}{}{}{e^{18} (96+32 e^3)+e^{36} (9 x+6 e^3 x+e^6 x)+e^{18} (6+2 e^3) \log (x)}{65536 x+e^{18} (1536 x^2+512 e^3 x^2)+e^{36} (9 x^3+6 e^3 x^3+e^6 x^3)+(16384 x+e^{18} (192 x^2+64 e^3 x^2)) \log (x)+(1536 x+e^{18} (6 x^2+2 e^3 x^2)) \log ^2(x)+64 x \log ^3(x)+x \log ^4(x)} \, dx\) [2191]
3.22.92
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{4+2 x}{x}} (26 x+5 x^3)+e^{\genfrac {}{}{}{}{4+2 x}{x}} (-104-20 x^2+10 x^3) \log (x)}{5 x^2} \, dx\) [2192]
3.22.93
\(\int \genfrac {}{}{}{}{2 x+x^2+x^3+e^x (2+2 x^2)}{e^x x^2+x^3} \, dx\) [2193]
3.22.94
\(\int \genfrac {}{}{}{}{4+(5 x+5 x^3+e^x (10 x^2+5 x^3+10 x^4+5 x^5)) \log ^2(\genfrac {}{}{}{}{x^2}{1+x^2})}{(5 x+5 x^3) \log ^2(\genfrac {}{}{}{}{x^2}{1+x^2})} \, dx\) [2194]
3.22.95
\(\int \genfrac {}{}{}{}{-512+768 x+x^3+(2-3 x) \log (3)}{-256 x^3+x^3 \log (3)} \, dx\) [2195]
3.22.96
\(\int \genfrac {}{}{}{}{16 x^5+4 x^6+e^{\genfrac {}{}{}{}{3 (-1+2 x)}{x}} (-1296 x-756 x^2)+e^{\genfrac {}{}{}{}{4 (-1+2 x)}{x}} (1296+324 x-108 x^2)+e^{\genfrac {}{}{}{}{2 (-1+2 x)}{x}} (432 x^2+540 x^3+72 x^4)+e^{\genfrac {}{}{}{}{-1+2 x}{x}} (-48 x^3-156 x^4-32 x^5)+(e^{\genfrac {}{}{}{}{4 (-1+2 x)}{x}} (-1728-432 x+108 x^2)+e^{\genfrac {}{}{}{}{3 (-1+2 x)}{x}} (1296 x+756 x^2+36 x^3)+e^{\genfrac {}{}{}{}{2 (-1+2 x)}{x}} (-288 x^2-360 x^3-60 x^4)+e^{\genfrac {}{}{}{}{-1+2 x}{x}} (16 x^3+52 x^4+12 x^5)) \log (4+x)+(e^{\genfrac {}{}{}{}{4 (-1+2 x)}{x}} (864+216 x-36 x^2)+e^{\genfrac {}{}{}{}{3 (-1+2 x)}{x}} (-432 x-252 x^2-24 x^3)+e^{\genfrac {}{}{}{}{2 (-1+2 x)}{x}} (48 x^2+60 x^3+12 x^4)) \log ^2(4+x)+(e^{\genfrac {}{}{}{}{4 (-1+2 x)}{x}} (-192-48 x+4 x^2)+e^{\genfrac {}{}{}{}{3 (-1+2 x)}{x}} (48 x+28 x^2+4 x^3)) \log ^3(4+x)+e^{\genfrac {}{}{}{}{4 (-1+2 x)}{x}} (16+4 x) \log ^4(4+x)}{4 x^2+x^3} \, dx\) [2196]
3.22.97
\(\int (-1+15 x^2+e^{2 x} (1+2 x)) \, dx\) [2197]
3.22.98
\(\int \genfrac {}{}{}{}{e^{-x^2} (e^{x^2} (-e^{3+x} \log (5)+(1-4 x) \log (5))+(2 x-2 x^3) \log (\log (4)))}{\log (5)} \, dx\) [2198]
3.22.99
\(\int \genfrac {}{}{}{}{-48+3 x^4+6 e^{2 x^2} x^4+\sqrt [3]{e} (-12 x+3 x^3)+e^{x^2} (12 x-27 x^3-6 \sqrt [3]{e} x^4-6 x^5)}{8 x^3} \, dx\) [2199]
3.22.100
\(\int \genfrac {}{}{}{}{-2+x}{x} \, dx\) [2200]
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