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3.14
Integrals 1301 to 1335
3.14.1
\(\int \genfrac {}{}{}{}{e^{-x+\genfrac {}{}{}{}{1+e^{4 x} (-2-2 x)+x+e^{8 x} (1+x)}{x^3 \log ^2(5)}} (-9-6 x+e^{4 x} (18-12 x-24 x^2)+e^{8 x} (-9+18 x+24 x^2)-3 x^4 \log ^2(5))}{x^4 \log ^2(5)} \, dx\) [1301]
3.14.2
\(\int \genfrac {}{}{}{}{12+e^{1-x} (-12-4 x)+4 x+(-12-4 e^{1-x}-4 x+4 \log (2)) \log (3+e^{1-x}+x-\log (2))}{27+27 x+9 x^2+x^3+e^{1-x} (9+6 x+x^2)+(-9-6 x-x^2) \log (2)+(-72+e^{1-x} (-24-8 x)-48 x-8 x^2+(24+8 x) \log (2)) \log (3+e^{1-x}+x-\log (2))+(48+16 e^{1-x}+16 x-16 \log (2)) \log ^2(3+e^{1-x}+x-\log (2))} \, dx\) [1302]
3.14.3
\(\int \genfrac {}{}{}{}{2 x^2-3 x^3-6 x^6+e^{\genfrac {}{}{}{}{5}{x^2}} (-10+2 x^2)}{x} \, dx\) [1303]
3.14.4
\(\int \genfrac {}{}{}{}{-2 x^7+8 x^7 \log (x)+(1-2 e^{-7+x^2} x) \log ^3(x)}{\log ^3(x)} \, dx\) [1304]
3.14.5
\(\int \genfrac {}{}{}{}{400 x+800 x^2-432 x^3+48 x^4+e^x (-400+160 x-16 x^2)}{25 x^4+70 x^5+29 x^6-28 x^7+4 x^8+e^{2 x} (100-40 x+4 x^2)+e^x (-100 x^2-120 x^3+68 x^4-8 x^5)} \, dx\) [1305]
3.14.6
\(\int \genfrac {}{}{}{}{1}{4} e^{e^x} (-10+40 x-20 e^{2 x} x+e^{\log ^2(5)} (5+5 e^x x)+e^x (-20-30 x+20 x^2)) \, dx\) [1306]
3.14.7
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{e^{-\genfrac {}{}{}{}{20-9 x^2-5 x^3}{9 x+5 x^2}} (1+2 e^{\genfrac {}{}{}{}{20-9 x^2-5 x^3}{9 x+5 x^2}} x^2)}{x}-\genfrac {}{}{}{}{20-9 x^2-5 x^3}{9 x+5 x^2}} (180+119 x-9 x^2+65 x^3+25 x^4+e^{\genfrac {}{}{}{}{20-9 x^2-5 x^3}{9 x+5 x^2}} (162 x^3+180 x^4+50 x^5))}{81 x^3+90 x^4+25 x^5} \, dx\) [1307]
3.14.8
\(\int \genfrac {}{}{}{}{e^{-x} (24-8 e+8 x+e^x (-288-120 x+16 x^2+8 x^3+e^2 (-32+8 x)+e (192+16 x-16 x^2))+(12-12 x-4 x^2+e (-4+4 x)+e^x (-144-16 e^2-96 x-16 x^2+e (96+32 x))) \log (x^2))}{9+e^2+e (-6-2 x)+6 x+x^2} \, dx\) [1308]
3.14.9
\(\int \genfrac {}{}{}{}{e^{13} (5+3 e^3-e^{3+3 x} x) (10+6 e^3+e^{3+3 x} (-x+3 x^2))}{x^2 (-5 x-3 e^3 x+e^{3+3 x} x^2)} \, dx\) [1309]
3.14.10
\(\int 90 e^{2 e^2+x} \, dx\) [1310]
3.14.11
\(\int \genfrac {}{}{}{}{-10 e^{5-\genfrac {}{}{}{}{10 x}{e^5-2 x}}+2 e^{10} x-8 e^5 x^2+8 x^3+e^{-\genfrac {}{}{}{}{5 x}{e^5-2 x}} (2 e^{10}-18 e^5 x+8 x^2)}{144 x^2-48 x^4+4 x^6+e^{-\genfrac {}{}{}{}{20 x}{e^5-2 x}} (e^{10}-4 e^5 x+4 x^2)+e^{-\genfrac {}{}{}{}{15 x}{e^5-2 x}} (4 e^{10} x-16 e^5 x^2+16 x^3)+e^{10} (36-12 x^2+x^4)+e^5 (-144 x+48 x^3-4 x^5)+e^{-\genfrac {}{}{}{}{10 x}{e^5-2 x}} (-48 x^2+24 x^4+e^{10} (-12+6 x^2)+e^5 (48 x-24 x^3))+e^{-\genfrac {}{}{}{}{5 x}{e^5-2 x}} (-96 x^3+16 x^5+e^{10} (-24 x+4 x^3)+e^5 (96 x^2-16 x^4))} \, dx\) [1311]
3.14.12
\(\int \genfrac {}{}{}{}{1}{8} (8+e^{-2-e^x+x} (-8+8 e^x)+x) \, dx\) [1312]
3.14.13
\(\int \genfrac {}{}{}{}{87+3 x-87 x^2-3 x^3+(-87-6 x-87 x^2) \log (x)}{(1-2 x^2+x^4) \log ^2(x)} \, dx\) [1313]
3.14.14
\(\int (-e^{21}+e^{4+x} (-15-15 x)+60 x-e^{21} \log (x)) \, dx\) [1314]
3.14.15
\(\int \genfrac {}{}{}{}{4 x+2 e^{40} x^2+2 x^4+e^{20} (-2-4 x^3)}{e^{40} x^2-2 e^{20} x^3+x^4} \, dx\) [1315]
3.14.16
\(\int \genfrac {}{}{}{}{1}{125} e^{\genfrac {}{}{}{}{7500-9 x^4}{2500}} (750 e^{\genfrac {}{}{}{}{-7500+9 x^4}{2500}}-9 x^3) \, dx\) [1316]
3.14.17
\(\int \genfrac {}{}{}{}{1}{4} (12 e^{8+3 x}+e^{2 x} (e^4 (-32+32 x)+e^8 (16+32 x+48 x^2))+e^x (-12-16 x+16 x^2+e^4 (12-128 x+56 x^2+48 x^3)+e^8 (-3+68 x-32 x^2+120 x^3+36 x^4))) \, dx\) [1317]
3.14.18
\(\int \genfrac {}{}{}{}{(-208 x-60 x^2+108 x^3-36 x^4+4 x^5) \log (2 x)+(-60+164 x-57 x^2-15 x^3+9 x^4-x^5) \log (\genfrac {}{}{}{}{400-1920 x+2424 x^2-48 x^3-607 x^4+132 x^5+30 x^6-12 x^7+x^8}{81-108 x+54 x^2-12 x^3+x^4})}{(60 x-164 x^2+57 x^3+15 x^4-9 x^5+x^6) \log ^2(2 x)} \, dx\) [1318]
3.14.19
\(\int \genfrac {}{}{}{}{e^{-x} (-10+2 x+(6 x-x^2) \log (x^2))}{x} \, dx\) [1319]
3.14.20
\(\int \genfrac {}{}{}{}{-e^{25-x} \log (3)+(8-2 x) \log (3)}{-13+e^{25-x}+8 x-x^2} \, dx\) [1320]
3.14.21
\(\int \genfrac {}{}{}{}{-36+360 x-900 x^2+(-18+192 x-570 x^2+300 x^3) \log (2 x)+(5-25 x+2 x^2-20 x^3+50 x^4+(-5+50 x) \log (x)) \log ^3(2 x)}{(x^2-10 x^3+25 x^4) \log ^3(2 x)} \, dx\) [1321]
3.14.22
\(\int \genfrac {}{}{}{}{-75+60 x-12 x^2+e^{\genfrac {}{}{}{}{30 x-12 x^2+e^x (5+x) \log (5)}{-15+6 x}} (-150+120 x-24 x^2+e^x (-40+5 x+2 x^2) \log (5))}{75-60 x+12 x^2} \, dx\) [1322]
3.14.23
\(\int \genfrac {}{}{}{}{5-5 e^x+5 x-5 x^2+(5+4 x^2+x^3+e^x (-5+6 x)) \log (x)+(-x^3+e^x (x-x^2)) \log ^2(x)+(5+(5-x) \log (x)-x \log ^2(x)) \log (\genfrac {}{}{}{}{1}{2} (-5+x \log (x)))}{-5 x^2 \log ^2(x)+x^3 \log ^3(x)} \, dx\) [1323]
3.14.24
\(\int \genfrac {}{}{}{}{9 e^7-x^2+e^2 x^2+x^2 \log (5)}{x^2 \log (5)} \, dx\) [1324]
3.14.25
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{(1152+144 e^x) \log ^4(x)}{5 x^4-10 x^3 \log ^2(x)+5 x^2 \log ^4(x)}} ((-4608 x-576 e^x x) \log ^3(x)+(4608 x+e^x (576 x-144 x^2)) \log ^4(x)+(-2304+e^x (-288+144 x)) \log ^6(x))}{-5 x^6+15 x^5 \log ^2(x)-15 x^4 \log ^4(x)+5 x^3 \log ^6(x)} \, dx\) [1325]
3.14.26
\(\int \genfrac {}{}{}{}{-1+x+2 e^{x^2} x^2}{x} \, dx\) [1326]
3.14.27
\(\int (3+4 x+2 \log (\log (3))) \, dx\) [1327]
3.14.28
\(\int e^{-2 e^{1-5 e^{1-x}+5 x}} x^{-2+\genfrac {}{}{}{}{e^{-2 e^{1-5 e^{1-x}+5 x}}}{x^2}} (1+e^{2 e^{1-5 e^{1-x}+5 x}} x^2-2 \log (x)+e^{-5 e^{1-x}+5 x} (-10 e x-10 e^{2-x} x) \log (x)) \, dx\) [1328]
3.14.29
\(\int (-1+5 e^{1+\genfrac {}{}{}{}{1}{4} (3+20 e^{1+x})+x}) \, dx\) [1329]
3.14.30
\(\int \genfrac {}{}{}{}{2+x+x^2+e^x (-x+x^2)}{-x+x^2} \, dx\) [1330]
3.14.31
\(\int -\genfrac {}{}{}{}{12 e^{e^{\genfrac {}{}{}{}{1}{5} (\log ^2(10)+5 \log (e^{-x} (4+e^x)))}+\genfrac {}{}{}{}{1}{5} (\log ^2(10)+5 \log (e^{-x} (4+e^x)))}}{4+e^x} \, dx\) [1331]
3.14.32
\(\int (5+10 e^{2 x}+10 e^x \log (7)) \, dx\) [1332]
3.14.33
\(\int (1+\log (\genfrac {}{}{}{}{x+e x (i \pi +\log (5-\log (5)))}{e})) \, dx\) [1333]
3.14.34
\(\int \genfrac {}{}{}{}{-3+2 x^3+e^{2 x} (-3+6 x)}{(3 x+3 e^{2 x} x+1876 x^2+x^4) \log (\genfrac {}{}{}{}{3+3 e^{2 x}+1876 x+x^3}{x})} \, dx\) [1334]
3.14.35
\(\int \genfrac {}{}{}{}{162 x^5+9 x^6+e^{2 e^x} (135 x^4-108 e^x x^5)}{27 e^{6 e^x}+216 x^3+108 x^4+18 x^5+x^6+e^{4 e^x} (162 x+27 x^2)+e^{2 e^x} (324 x^2+108 x^3+9 x^4)} \, dx\) [1335]
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