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3.13
Integrals 1201 to 1300
3.13.1
\(\int e^{-10 \sqrt {\genfrac {}{}{}{}{2}{3}}} (4 e^6 x^3+10 e^3 x^4+6 x^5+e^{2 x} (4 x^3+2 x^4)+e^x (10 x^4+2 x^5+e^3 (8 x^3+2 x^4))) \, dx\) [1201]
3.13.2
\(\int \genfrac {}{}{}{}{20-2 e^x+(-20 e^x x+2 e^{2 x} x) \log (x) \log (\log (x))+(2-2 e^x x \log (x) \log (\log (x))) \log (\log (\log (x)))}{9 x \log (x) \log (\log (x))} \, dx\) [1202]
3.13.3
\(\int \genfrac {}{}{}{}{-900 e^{225 \log ^2(x)} \log (x)+540 e^{450 \log ^2(x)} \log (x)}{x} \, dx\) [1203]
3.13.4
\(\int \genfrac {}{}{}{}{(-128 x^3+256 x^4+(128 x^2-256 x^3) \log (2)+(-128 x^2+256 x^3+(128 x-256 x^2) \log (2)) \log (x)) \log (-12-x+x^2)+(768 x+64 x^2-64 x^3+(-768-832 x+64 x^3) \log (2)+(-768 x-64 x^2+64 x^3) \log (x)) \log ^2(-12-x+x^2)}{-12 x^3-x^4+x^5+(-24 x^2-2 x^3+2 x^4) \log (x)+(-12 x-x^2+x^3) \log ^2(x)} \, dx\) [1204]
3.13.5
\(\int e^{-\genfrac {}{}{}{}{12 e^x}{x}} (-2 e^{\genfrac {}{}{}{}{12 e^x}{x}} x-4 x^3+e^x (-12 x^2+12 x^3)) \, dx\) [1205]
3.13.6
\(\int \genfrac {}{}{}{}{3 e^2}{8 x^3 \log ^2(5)} \, dx\) [1206]
3.13.7
\(\int \genfrac {}{}{}{}{32-656 x-496 x^2+(-24 x-24 x^2) \log (x)}{32000 x^4+32000 x^5+8000 x^6+(-4800 x^3+3600 x^5+1200 x^6) \log (x)+(240 x^2-240 x^3-180 x^4+120 x^5+60 x^6) \log ^2(x)+(-4 x+8 x^2-x^3-5 x^4+x^5+x^6) \log ^3(x)} \, dx\) [1207]
3.13.8
\(\int \genfrac {}{}{}{}{-30 x^4+150 x^5+(-60 x^2+300 x^3) \log (4)+(-30+150 x) \log ^2(4)+e^x (-3 x^4+(-6 x-3 x^2) \log (4))}{8 x^4+8 e^{2 x} x^4-160 x^5+1200 x^6-4000 x^7+5000 x^8+(16 x^2-320 x^3+2400 x^4-8000 x^5+10000 x^6) \log (4)+(8-160 x+1200 x^2-4000 x^3+5000 x^4) \log ^2(4)+e^x (-16 x^4+160 x^5-400 x^6+(-16 x^2+160 x^3-400 x^4) \log (4))} \, dx\) [1208]
3.13.9
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{2 (-e^6+x+4 e^3 x-4 x^2+(2+e^6-x-4 e^3 x+4 x^2+(e^6 x-x^2-4 e^3 x^2+4 x^3) \log (4)) \log (x))}{-1+(1+x \log (4)) \log (x)}} (-4-2 x-8 e^3 x+16 x^2+(4 x+16 e^3 x-32 x^2+(4 x^2+16 e^3 x^2-32 x^3) \log (4)) \log (x)+(-2 x-8 e^3 x+16 x^2+(-4 x-4 x^2-16 e^3 x^2+32 x^3) \log (4)+(-2 x^3-8 e^3 x^3+16 x^4) \log ^2(4)) \log ^2(x))}{x+(-2 x-2 x^2 \log (4)) \log (x)+(x+2 x^2 \log (4)+x^3 \log ^2(4)) \log ^2(x)} \, dx\) [1209]
3.13.10
\(\int \genfrac {}{}{}{}{2+e^x x}{x} \, dx\) [1210]
3.13.11
\(\int \genfrac {}{}{}{}{-4 e^{\genfrac {}{}{}{}{2 (-7+x)}{x^2}} x^4+e^{\genfrac {}{}{}{}{-7+x}{x^2}} (3 x^2+x^4)+e^{\genfrac {}{}{}{}{-7+x}{x^2}} (-42+3 x-14 x^2+x^3-2 x^4) \log (x)}{4 e^{\genfrac {}{}{}{}{2 (-7+x)}{x^2}} x^3+4 e^{\genfrac {}{}{}{}{-7+x}{x^2}} x^3 \log (x)+x^3 \log ^2(x)} \, dx\) [1211]
3.13.12
\(\int \genfrac {}{}{}{}{e^{-\genfrac {}{}{}{}{2 e^2 (4-4 x+x^2)}{100-120 x+36 x^2+(20-12 x) \log (x)+\log ^2(x)}} (-2000 x+3600 x^2-2160 x^3+432 x^4+e^2 (-16 x+32 x^2-12 x^3)+(-600 x+720 x^2-216 x^3+e^2 (-8 x^2+4 x^3)) \log (x)+(-60 x+36 x^2) \log ^2(x)-2 x \log ^3(x))}{1000-1800 x+1080 x^2-216 x^3+(300-360 x+108 x^2) \log (x)+(30-18 x) \log ^2(x)+\log ^3(x)} \, dx\) [1212]
3.13.13
\(\int \genfrac {}{}{}{}{-27+9 x+e^{e^x} (-10 x-x^2+x^3+e^x (-5 x^2+x^3))}{-45+9 x+e^{e^x} (-5 x^2+x^3)} \, dx\) [1213]
3.13.14
\(\int \genfrac {}{}{}{}{-28 x+14 x \log (x)+2 \log (-2+\log (x))}{-28 x^2+14 x^2 \log (x)+(-2 x+x \log (x)) \log ^2(-2+\log (x))} \, dx\) [1214]
3.13.15
\(\int \genfrac {}{}{}{}{-5 x^3+e^{\genfrac {}{}{}{}{4+4 x+x^2}{x^2}} (8+4 x-4 x^2)}{2 e^{\genfrac {}{}{}{}{3 (4+4 x+x^2)}{x^2}} x^{11}+6 e^{\genfrac {}{}{}{}{2 (4+4 x+x^2)}{x^2}} x^{12}+6 e^{\genfrac {}{}{}{}{4+4 x+x^2}{x^2}} x^{13}+2 x^{14}} \, dx\) [1215]
3.13.16
\(\int \genfrac {}{}{}{}{1-256 x+8 x^2+(2-384 x+8 x^2) \log (3)+(1-128 x+2 x^2) \log ^2(3)}{x+2 x \log (3)+x \log ^2(3)} \, dx\) [1216]
3.13.17
\(\int \genfrac {}{}{}{}{2}{-4 x-5 x \log (3)+x \log (2 x)} \, dx\) [1217]
3.13.18
\(\int \genfrac {}{}{}{}{4-x+e^{e^2-2 e x+x^2} (-2-2 e x+2 x^2)-2 \log (4)}{x^3} \, dx\) [1218]
3.13.19
\(\int \genfrac {}{}{}{}{(-14+64 x-24 x^2) \log (-112+28 x-64 x^2+16 x^3)+(-7-4 x^2) \log ^2(-112+28 x-64 x^2+16 x^3)}{7+4 x^2} \, dx\) [1219]
3.13.20
\(\int \genfrac {}{}{}{}{2 e^x x^3+10 x^4+e^x x (e^x+5 x) (e^x+5 x+(5 x+2 e^x x+5 x^2) \log (x))}{e^x x^2+5 x^3} \, dx\) [1220]
3.13.21
\(\int \genfrac {}{}{}{}{-5 e-5 x-5 e \log (x)}{512 x^2 \log ^2(x)} \, dx\) [1221]
3.13.22
\(\int \genfrac {}{}{}{}{18+6 x-22 x^2-6 x^3+6 x^4+2 x^5+e^8 (2+2 x)+e^4 (12+8 x-8 x^2-4 x^3)+e^{2 e^x} (2 x^2+2 x^3)+e^{e^x} (12 x+8 x^2-8 x^3-4 x^4+e^4 (4 x+4 x^2))+e^{\genfrac {}{}{}{}{1}{3+e^4-x+e^{e^x} x-x^2}} (-9-e^8+5 x+3 x^2-e^{2 e^x} x^2-2 x^3-x^4+e^4 (-6+2 x+2 x^2)+e^{e^x} (-5 x-2 e^4 x+2 x^2+e^x x^2+2 x^3))}{9+e^8-6 x-5 x^2+e^{2 e^x} x^2+2 x^3+x^4+e^4 (6-2 x-2 x^2)+e^{e^x} (6 x+2 e^4 x-2 x^2-2 x^3)} \, dx\) [1222]
3.13.23
\(\int \genfrac {}{}{}{}{15 x^2-3 x^3+(45 x-45 x^2+10 x^3) \log (\genfrac {}{}{}{}{-3+2 x}{-3+x})}{(-2250+3600 x-2120 x^2+588 x^3-78 x^4+4 x^5) \log ^3(\genfrac {}{}{}{}{-3+2 x}{-3+x})} \, dx\) [1223]
3.13.24
\(\int (1-6 x^2+5 x^4+(4-12 x^2) \log (\genfrac {}{}{}{}{1}{5} (-2+5 e^3))+(6-6 x^2) \log ^2(\genfrac {}{}{}{}{1}{5} (-2+5 e^3))+4 \log ^3(\genfrac {}{}{}{}{1}{5} (-2+5 e^3))+\log ^4(\genfrac {}{}{}{}{1}{5} (-2+5 e^3))) \, dx\) [1224]
3.13.25
\(\int e^{-x} (-2+2 x) \, dx\) [1225]
3.13.26
\(\int \genfrac {}{}{}{}{1}{15} e^{\genfrac {}{}{}{}{1}{15} (105+15 x+5 x^2+(-3 x-5 x^2) \log (e^{-e^x} x))} (12+5 x+e^x (3 x+5 x^2)+(-3-10 x) \log (e^{-e^x} x)) \, dx\) [1226]
3.13.27
\(\int (6-6 x+3 x^2-12 x^3+15 x^4-6 x^5+e^{-2+5 e^x} (2 x-6 x^2+4 x^3+e^x (5 x^2-10 x^3+5 x^4))) \, dx\) [1227]
3.13.28
\(\int \genfrac {}{}{}{}{x+e^x (-3 x+x^2)+377801998336 e^{16+\log ^2(28 x)} x^8 (-24+8 x+(-6+2 x) \log (28 x))}{-3 x+x^2} \, dx\) [1228]
3.13.29
\(\int \genfrac {}{}{}{}{-3-x+2 x^2+(-3+4 x+2 x^2) \log (x)}{(-3 x-x^2+2 x^3) \log (x)} \, dx\) [1229]
3.13.30
\(\int \genfrac {}{}{}{}{(16+20 x) \log (\genfrac {}{}{}{}{1}{16} (64+80 x+25 x^2+(-64-40 x) \log ^2(4)+16 \log ^4(4)+(64+40 x-32 \log ^2(4)) \log (x)+16 \log ^2(x)))}{8 x+5 x^2-4 x \log ^2(4)+4 x \log (x)} \, dx\) [1230]
3.13.31
\(\int \genfrac {}{}{}{}{6+e^x (-2 x+x^2)}{-2 x+e^x x^2} \, dx\) [1231]
3.13.32
\(\int \genfrac {}{}{}{}{e^2 (-2-6 x)+4 x+12 x^2+(-6 x+6 e^2 x-30 x^2) \log (4)+18 x^2 \log ^2(4)+(-8 x+8 e^2 x-40 x^2+48 x^2 \log (4)) \log (16)+32 x^2 \log ^2(16)+(2+8 x-2 e^2 x+10 x^2+(-6 x-12 x^2) \log (4)+(-8 x-16 x^2) \log (16)) \log (x)+(2 x+2 x^2) \log ^2(x)}{x} \, dx\) [1232]
3.13.33
\(\int (e^{4 x+4 x^2+x^3} (1296+2880 x+2016 x^2+432 x^3)+e^{8 x+8 x^2+2 x^3} (144+392 x+384 x^2+160 x^3+24 x^4)) \, dx\) [1233]
3.13.34
\(\int (-51-250 x-300 x^2-400 x^3) \, dx\) [1234]
3.13.35
\(\int \genfrac {}{}{}{}{1}{4} (-125+75 x-15 x^2+x^3+29^{2 x} (8 x+8 x^2 \log (29))+29^x (50-40 x+6 x^2+(50 x-20 x^2+2 x^3) \log (29))) \, dx\) [1235]
3.13.36
\(\int \genfrac {}{}{}{}{-25 x-10 x^2-x^3+e^{\genfrac {}{}{}{}{e^4}{x}} (x^2+e^4 (5+x))}{25 x^2+10 x^3+x^4} \, dx\) [1236]
3.13.37
\(\int \genfrac {}{}{}{}{e^{2 x}+(5+\genfrac {}{}{}{}{1}{16} e^{2 x} (88+16 x)) \log (i \pi +\log (2))}{\log (i \pi +\log (2))} \, dx\) [1237]
3.13.38
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{160016-128625 x+38900 x^2-5270 x^3+276 x^4-x^5}{625-500 x+150 x^2-20 x^3+x^4}} (-3061+3125 x-1250 x^2+250 x^3-25 x^4+x^5)}{-3125+3125 x-1250 x^2+250 x^3-25 x^4+x^5} \, dx\) [1238]
3.13.39
\(\int \genfrac {}{}{}{}{e^{2 x} (4 x-x^3)+e^{2 x} (-8 x-8 x^2+4 x^3+2 x^4) \log (x)+(1+e^{2 x} (x+6 x^2+4 x^3)) \log ^2(x)+e^{2 x} (2 x+2 x^2) \log ^3(x)}{\log ^2(x)} \, dx\) [1239]
3.13.40
\(\int \genfrac {}{}{}{}{120 x+(-28+8 x) \log ^2(-7+2 x)}{(-7 x+2 x^2) \log ^2(-7+2 x)} \, dx\) [1240]
3.13.41
\(\int \genfrac {}{}{}{}{-64 x^3-32 x^4-4 x^7+(-192 x^2-160 x^3-8 x^4-24 x^6) \log (49)+(-192 x-288 x^2-36 x^3-60 x^5) \log ^2(49)+(-64-224 x-60 x^2-80 x^4) \log ^3(49)+(-64-44 x-60 x^3) \log ^4(49)+(-12-24 x^2) \log ^5(49)-4 x \log ^6(49)}{-4096-12288 x-15360 x^2-10240 x^3-3072 x^4+768 x^5+1088 x^6+384 x^7-48 x^9-12 x^{10}+x^{12}+(-18432-46080 x-46080 x^2-21504 x^3-384 x^4+5184 x^5+2496 x^6+192 x^7-264 x^8-84 x^9+6 x^{11}) \log (49)+(-34560-69120 x-51072 x^2-11136 x^3+8496 x^4+6432 x^5+984 x^6-576 x^7-243 x^8+15 x^{10}) \log ^2(49)+(-34560-51840 x-23616 x^2+4320 x^3+8208 x^4+2040 x^5-624 x^6-372 x^7+20 x^9) \log ^3(49)+(-19440-19440 x-2268 x^2+5184 x^3+2139 x^4-336 x^5-318 x^6+15 x^8) \log ^4(49)+(-5832-2916 x+1296 x^2+1134 x^3-72 x^4-144 x^5+6 x^7) \log ^5(49)+(-729+243 x^2-27 x^4+x^6) \log ^6(49)} \, dx\) [1241]
3.13.42
\(\int \genfrac {}{}{}{}{-580+600 x-150 x^2+(100-100 x+25 x^2) \log (2)+e^{2 x} (-54+9 \log (2))+e^x (354-174 x+(-60+30 x) \log (2))}{-600+600 x-150 x^2+(100-100 x+25 x^2) \log (2)+e^{2 x} (-54+9 \log (2))+e^x (360-180 x+(-60+30 x) \log (2))} \, dx\) [1242]
3.13.43
\(\int \genfrac {}{}{}{}{4-3 x^2-3 x^3+6 x^5-2 x^6+(4 x-4 x^3+2 x^4) \log (x)+(-x^2+x^5-x^3 \log (x)) \log (\genfrac {}{}{}{}{1-x^3+x \log (x)}{x})}{(4 x+x^2+4 x^3-5 x^4-x^5-4 x^6+x^7+(4 x^2+x^3+4 x^4-x^5) \log (x)+(x^3-x^6+x^4 \log (x)) \log (\genfrac {}{}{}{}{1-x^3+x \log (x)}{x})) \log ^2(\genfrac {}{}{}{}{4+x+4 x^2-x^3+x^2 \log (\genfrac {}{}{}{}{1-x^3+x \log (x)}{x})}{x})} \, dx\) [1243]
3.13.44
\(\int \genfrac {}{}{}{}{(1-x) \log (5)}{-4 x-4 x^2+4 x \log (\genfrac {}{}{}{}{3 x}{4})+(-4 x-4 x^2+4 x \log (\genfrac {}{}{}{}{3 x}{4})) \log (1+x-\log (\genfrac {}{}{}{}{3 x}{4}))} \, dx\) [1244]
3.13.45
\(\int \genfrac {}{}{}{}{156-30 x^2+(-52+12 x^2) \log (x)+(13-3 x^2) \log (\genfrac {}{}{}{}{1}{3} (-52+12 x^2))}{-52 x^2+12 x^4} \, dx\) [1245]
3.13.46
\(\int \genfrac {}{}{}{}{-2+e^{5 x} (-2-10 x)+(-2-2 e^{5 x}) \log (x+e^{5 x} x)}{1+e^{5 x}} \, dx\) [1246]
3.13.47
\(\int \genfrac {}{}{}{}{-32-2 x}{e^{3 e^2} (e^4 x+2 e^2 x^2+x^3)+e^{3 e^2} (32 e^2 x+32 x^2) \log (x)+256 e^{3 e^2} x \log ^2(x)} \, dx\) [1247]
3.13.48
\(\int \genfrac {}{}{}{}{(-15-5 e x^2) \log (\genfrac {}{}{}{}{4}{3 x \log (2)})+\log (x) (-15-5 e x^2+10 e x^2 \log (\genfrac {}{}{}{}{4}{3 x \log (2)}))}{e x \log ^2(x)} \, dx\) [1248]
3.13.49
\(\int \genfrac {}{}{}{}{100-50 x+e^{-e^{-3+x}+x} (-19-e^{-3+x}+10 x)}{-25+5 e^{-e^{-3+x}+x}} \, dx\) [1249]
3.13.50
\(\int \genfrac {}{}{}{}{31250 x^4-100 x^8+20 x^8 \log (x)}{390625-10000 x^4+2500 x^5+64 x^8-32 x^9+4 x^{10}+(2500 x^4-32 x^8+8 x^9) \log (x)+4 x^8 \log ^2(x)} \, dx\) [1250]
3.13.51
\(\int e^{100 x^2-40 x \log (4)+4 \log ^2(4)+4 (-10 x^3-20 x^4-10 x^5+(2 x^2+4 x^3+2 x^4) \log (4)) \log (x)+4 (x^4+4 x^5+6 x^6+4 x^7+x^8) \log ^2(x)} (200 x-40 x^2-80 x^3-40 x^4+(-40+8 x+16 x^2+8 x^3) \log (4)+(-120 x^2-312 x^3-168 x^4+48 x^5+32 x^6+8 x^7+(16 x+48 x^2+32 x^3) \log (4)) \log (x)+(16 x^3+80 x^4+144 x^5+112 x^6+32 x^7) \log ^2(x)) \, dx\) [1251]
3.13.52
\(\int \genfrac {}{}{}{}{10 x-20 x \log (x)+(45+110 x+27 x^2) \log ^2(x)}{-10 x^2 \log (x)+(45 x+55 x^2+9 x^3) \log ^2(x)} \, dx\) [1252]
3.13.53
\(\int \genfrac {}{}{}{}{4 x^2+24 x^4+e^{2 x} (-1+2 x)}{x^2} \, dx\) [1253]
3.13.54
\(\int \genfrac {}{}{}{}{(-9-13 x-3 x^2) \log ^2(5)+(-6-2 x) \log ^2(5) \log (-3 x-x^2)}{3 x^3+7 x^4+5 x^5+x^6+(6 x^3+8 x^4+2 x^5) \log (-3 x-x^2)+(3 x^3+x^4) \log ^2(-3 x-x^2)} \, dx\) [1254]
3.13.55
\(\int \genfrac {}{}{}{}{e^{-5+\genfrac {}{}{}{}{e^{-5+x+\genfrac {}{}{}{}{-10-10 x+2 x^2}{-5 x+x^2}}}{x}+x+\genfrac {}{}{}{}{-10-10 x+2 x^2}{-5 x+x^2}} (-50-5 x+35 x^2-11 x^3+x^4)}{25 x^3-10 x^4+x^5} \, dx\) [1255]
3.13.56
\(\int \genfrac {}{}{}{}{e^x (40+30 x-10 x^2)+(20-5 x+e^x (80 x+20 x^2-10 x^3)) \log (\log (2))+(-10 e^x x+(-5 x-10 e^x x^2) \log (\log (2))) \log (\genfrac {}{}{}{}{2 e^x x+(x+2 e^x x^2) \log (\log (2))}{\log (\log (2))})}{2 e^x x+(x+2 e^x x^2) \log (\log (2))} \, dx\) [1256]
3.13.57
\(\int \genfrac {}{}{}{}{-4 e^{4 e^x+4 x} \log ^3(\genfrac {}{}{}{}{3}{\log (4) \log (x)})+e^{4 e^x+4 x} (1+4 x+4 e^x x) \log (x) \log ^4(\genfrac {}{}{}{}{3}{\log (4) \log (x)})}{\log (x)} \, dx\) [1257]
3.13.58
\(\int \genfrac {}{}{}{}{e^{-2 x^2 \log ^2(5) \log ^4(x)} (e^{2 x^2 \log ^2(5) \log ^4(x)}+e^{e^{-2 x^2 \log ^2(5) \log ^4(x)}} (-16 x^2 \log ^2(5) \log ^3(x)-8 x^2 \log ^2(5) \log ^4(x)))}{2 x} \, dx\) [1258]
3.13.59
\(\int \genfrac {}{}{}{}{e^{-e^{\genfrac {}{}{}{}{4}{\log ^2(\genfrac {}{}{}{}{x}{4})}}} (8 e^{\genfrac {}{}{}{}{4}{\log ^2(\genfrac {}{}{}{}{x}{4})}} x+x \log ^3(\genfrac {}{}{}{}{x}{4})+e^{e^{\genfrac {}{}{}{}{4}{\log ^2(\genfrac {}{}{}{}{x}{4})}}} ((-5+3 x+2 x^2+(1-x) \log (3)) \log ^3(\genfrac {}{}{}{}{x}{4})-x \log ^3(\genfrac {}{}{}{}{x}{4}) \log (x)))}{x \log ^3(\genfrac {}{}{}{}{x}{4})} \, dx\) [1259]
3.13.60
\(\int \genfrac {}{}{}{}{-5 \log (\log (3))+e^{e^x} \log (\log (3))+24 e^{e^x+x} \log (25-10 e^{e^x}+e^{2 e^x}) \log (\log (3))+8 e^{e^x+x} \log ^3(25-10 e^{e^x}+e^{2 e^x}) \log (\log (3))}{-5+e^{e^x}} \, dx\) [1260]
3.13.61
\(\int \genfrac {}{}{}{}{2-4 x+6 x^2-2 x^3+x^4+(4-4 x+5 x^2-2 x^3+x^4) \log (x)}{4-4 x+5 x^2-2 x^3+x^4} \, dx\) [1261]
3.13.62
\(\int \genfrac {}{}{}{}{-3168+4032 x-228 x^2+342 x^3-2 x^4+8 x^5+(1728-1728 x-12 x^4+12 x^5) \log (x^2-x^3)}{-x^3+x^4} \, dx\) [1262]
3.13.63
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{8-4 x-8 x^2+4 x^3+e^{x/2} (-4+4 x)+e^x (8-4 e^{x/2}+4 x-4 x^2)}{e^x-x}} (8+e^{2 x} (4-2 e^{x/2}-8 x)+8 x^2-8 x^3+e^{x/2} (-4+2 x-2 x^2)+e^x (-4-20 x+20 x^2+e^{x/2} (2+4 x)))}{e^{2 x}-2 e^x x+x^2} \, dx\) [1263]
3.13.64
\(\int (1+e^{e^{2 x}} (-3 x^2-2 e^{2 x} x^3)) \, dx\) [1264]
3.13.65
\(\int \genfrac {}{}{}{}{-36+54 x+(-12+63 x-27 x^2) \log (x)+(30-36 x+27 x^2) \log ^2(x)}{((6 x-9 x^2) \log (x)+(10 x-21 x^2+9 x^3) \log ^2(x)) \log (\genfrac {}{}{}{}{(-6+9 x) \log ^2(x)}{-3 x+(-5 x+3 x^2) \log (x)}) \log ^2(\log (\genfrac {}{}{}{}{(-6+9 x) \log ^2(x)}{-3 x+(-5 x+3 x^2) \log (x)}))} \, dx\) [1265]
3.13.66
\(\int \genfrac {}{}{}{}{5 x^2-3 e^3 \log (5)}{x^4} \, dx\) [1266]
3.13.67
\(\int \genfrac {}{}{}{}{1}{3} (14 x-6 (i \pi +\log (\genfrac {}{}{}{}{1}{20} \log (\genfrac {}{}{}{}{25}{16})))) \, dx\) [1267]
3.13.68
\(\int \genfrac {}{}{}{}{5 x^2-40 x^9+e^{-23-x} (1+x)}{5 x^2} \, dx\) [1268]
3.13.69
\(\int \genfrac {}{}{}{}{-40-6 x+9 x^6+4 x^5 \log (x)+(6 x^4+2 x^5) \log ^2(x)}{2 x^5} \, dx\) [1269]
3.13.70
\(\int \genfrac {}{}{}{}{8 x+x^2+(16 x+2 x^2) \log (2)+(8 x+x^2) \log ^2(2)+(-8+2 x^2+(-8+2 x^2) \log (2)) \log (3)+(-1-2 x) \log ^2(3)}{16+8 x+9 x^2+2 x^3+x^4} \, dx\) [1270]
3.13.71
\(\int \genfrac {}{}{}{}{28-42 x+20 x^2+8 x^3-8 x^4+(-6 x-8 x^2+8 x^3) \log (x)+(4-6 x-6 x^2+12 x^3-4 x^4+(4-6 x+2 x^2) \log (x)) \log (2-3 x+x^2)}{2+5 x-3 x^2-8 x^3+4 x^4} \, dx\) [1271]
3.13.72
\(\int \genfrac {}{}{}{}{24-4 x+x^2}{32-6 x^2+x^3} \, dx\) [1272]
3.13.73
\(\int \genfrac {}{}{}{}{-250+(-4-100 x-625 x^2) \log (3)}{(4+100 x+625 x^2) \log (3)} \, dx\) [1273]
3.13.74
\(\int x^{-3+x} (e^2 (4-2 x)-2 e^2 x \log (x)) \, dx\) [1274]
3.13.75
\(\int e^{5-9 e^{10}+x} (5+7 x+x^2) \, dx\) [1275]
3.13.76
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{-5 x-x^2}{3-4 x+e^{e x+x^2} x-x^2}} (-15-6 x-x^2+e^{e x+x^2} (-x^2+10 x^3+2 x^4+e (5 x^2+x^3)))}{9-24 x+10 x^2+e^{2 e x+2 x^2} x^2+8 x^3+x^4+e^{e x+x^2} (6 x-8 x^2-2 x^3)} \, dx\) [1276]
3.13.77
\(\int \genfrac {}{}{}{}{-8-e^4+x^2-\log (x)+(9+e^4+8 x+x^2+\log (x)) \log (\genfrac {}{}{}{}{x}{9+e^4+8 x+x^2+\log (x)})+(9+e^4+8 x+x^2+e^x (-9-e^4-8 x-x^2)+(1-e^x) \log (x)) \log ^2(\genfrac {}{}{}{}{x}{9+e^4+8 x+x^2+\log (x)})}{(9+e^4+8 x+x^2+\log (x)) \log ^2(\genfrac {}{}{}{}{x}{9+e^4+8 x+x^2+\log (x)})} \, dx\) [1277]
3.13.78
\(\int \genfrac {}{}{}{}{108+108 \log (x)+36 \log ^2(x)+4 \log ^3(x)}{84 x+e^4 x+108 x \log (x)+54 x \log ^2(x)+12 x \log ^3(x)+x \log ^4(x)} \, dx\) [1278]
3.13.79
\(\int \genfrac {}{}{}{}{-15+10 x-5 x^2+(15 x+5 x^2) \log (\genfrac {}{}{}{}{16}{9+6 x+x^2})}{3 x+x^2} \, dx\) [1279]
3.13.80
\(\int \genfrac {}{}{}{}{18 x-24 x^2+8 x^3+e^{\genfrac {}{}{}{}{x}{-3+2 x+\log (25)}} (-3+\log (25))+(-12 x+8 x^2) \log (25)+2 x \log ^2(25)}{9-12 x+4 x^2+(-6+4 x) \log (25)+\log ^2(25)} \, dx\) [1280]
3.13.81
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{-23+12 x+(-18-21 x+9 x^2+3 x^3) \log (3)+(-8+4 x+(-6-7 x+3 x^2+x^3) \log (3)) \log (x)}{-6+3 x+(-2+x) \log (x)}} (2-4 x+(180 x-108 x^2-27 x^3+18 x^4) \log (3)+(-x+(120 x-72 x^2-18 x^3+12 x^4) \log (3)) \log (x)+(20 x-12 x^2-3 x^3+2 x^4) \log (3) \log ^2(x))}{36 x-36 x^2+9 x^3+(24 x-24 x^2+6 x^3) \log (x)+(4 x-4 x^2+x^3) \log ^2(x)} \, dx\) [1281]
3.13.82
\(\int \genfrac {}{}{}{}{5 e^x (1+x-2 x^2)+5 e^x (3 x-2 x^2) \log (\genfrac {}{}{}{}{5}{x})}{4 x-16 x^2+16 x^3+(8 x-32 x^2+32 x^3) \log (\genfrac {}{}{}{}{5}{x})+(4 x-16 x^2+16 x^3) \log ^2(\genfrac {}{}{}{}{5}{x})} \, dx\) [1282]
3.13.83
\(\int \genfrac {}{}{}{}{9 x^2-18 x^3+e^{x^2} (-25+158 x^2-240 x^3+216 x^4+e^{2 x} (-9+18 x+18 x^2)+e^x (-30+30 x-12 x^2-144 x^3))}{9 x^2} \, dx\) [1283]
3.13.84
\(\int e^{-20 x} (-7812500-2812500 e^{5 x}+e^{20 x} (-21+2 x)+e^{15 x} (-15300+1500 x)+e^{10 x} (-351250+12500 x)) \, dx\) [1284]
3.13.85
\(\int \genfrac {}{}{}{}{1250-2000 x-100 x^2+140 x^3-10 x^4+e^x (-250 x-200 x^2+100 x^3-10 x^4)}{125 x+300 x^2+315 x^3+184 x^4+e^{3 x} x^4+63 x^5+12 x^6+x^7+(-375 x-525 x^2-270 x^3-42 x^4+9 x^5+3 x^6) \log (5)+(375 x+150 x^2-30 x^3-18 x^4+3 x^5) \log ^2(5)+(-125 x+75 x^2-15 x^3+x^4) \log ^3(5)+e^{2 x} (15 x^3+12 x^4+3 x^5+(-15 x^3+3 x^4) \log (5))+e^x (75 x^2+120 x^3+78 x^4+24 x^5+3 x^6+(-150 x^2-90 x^3-6 x^4+6 x^5) \log (5)+(75 x^2-30 x^3+3 x^4) \log ^2(5))+(-375 x-525 x^2-270 x^3-42 x^4+9 x^5+3 x^6+e^{2 x} (-15 x^3+3 x^4)+(750 x+300 x^2-60 x^3-36 x^4+6 x^5) \log (5)+(-375 x+225 x^2-45 x^3+3 x^4) \log ^2(5)+e^x (-150 x^2-90 x^3-6 x^4+6 x^5+(150 x^2-60 x^3+6 x^4) \log (5))) \log (x)+(375 x+150 x^2-30 x^3-18 x^4+3 x^5+e^x (75 x^2-30 x^3+3 x^4)+(-375 x+225 x^2-45 x^3+3 x^4) \log (5)) \log ^2(x)+(-125 x+75 x^2-15 x^3+x^4) \log ^3(x)} \, dx\) [1285]
3.13.86
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{e^{-x} (x+x^2+3 \log (4 x^2))}{\log (4 x^2) \log (\log (4))}} (-2-2 x+(1+x-x^2) \log (4 x^2)-3 \log ^2(4 x^2))}{3 e^x \log ^2(4 x^2) \log (\log (4))+e^{x+\genfrac {}{}{}{}{e^{-x} (x+x^2+3 \log (4 x^2))}{\log (4 x^2) \log (\log (4))}} \log ^2(4 x^2) \log (\log (4))} \, dx\) [1286]
3.13.87
\(\int ((-88 e^5+88 e^{4 x}) \log (x)+(-44 e^5+e^{4 x} (44+176 x)) \log ^2(x)) \, dx\) [1287]
3.13.88
\(\int (-8 x-75 x^4+18 x^5+e^x (e (-1-x)+2 x+x^2)+e (4+60 x^3-15 x^4)) \, dx\) [1288]
3.13.89
\(\int \genfrac {}{}{}{}{1}{9} (18+44 e^{10}) \, dx\) [1289]
3.13.90
\(\int \genfrac {}{}{}{}{5+5 x \log (4)}{x \log (4)} \, dx\) [1290]
3.13.91
\(\int \genfrac {}{}{}{}{1}{5} (1+5 e^{-1+x}) \, dx\) [1291]
3.13.92
\(\int \genfrac {}{}{}{}{-2-e^5-3 x+x^2}{x^2} \, dx\) [1292]
3.13.93
\(\int \genfrac {}{}{}{}{1}{16} (e^3 (-80+40 x)+e^3 (-37-80 x) \log (x)) \, dx\) [1293]
3.13.94
\(\int \genfrac {}{}{}{}{e^6 (8-6 x)+e^3 (-8 x^2+8 x^3-2 x^4)+2 x^{19} \log (2 x)+(-16 x^4+24 x^5-12 x^6+2 x^7+e^3 (16 x^2-20 x^3+6 x^4)) \log (2 x)+x^{10} (-2 e^3 x^2+(14 e^3 x^2-12 x^4+6 x^5) \log (2 x))+x^5 (-14 e^6+e^3 (8 x^2-4 x^3)+(24 x^4-24 x^5+6 x^6+e^3 (-36 x^2+20 x^3)) \log (2 x))}{-8 x^5+12 x^6-6 x^7+x^8+x^{20}+x^{10} (-6 x^5+3 x^6)+x^5 (12 x^5-12 x^6+3 x^7)} \, dx\) [1294]
3.13.95
\(\int \genfrac {}{}{}{}{-28+16 x+60000 x^4-10000 x^5+(24-12 x-30000 x^4+5000 x^5) \log (x)+(-4+2 x+3750 x^4-625 x^5) \log ^2(x)}{-16 x+10000 x^5+(12 x-5000 x^5) \log (x)+(-2 x+625 x^5) \log ^2(x)} \, dx\) [1295]
3.13.96
\(\int \genfrac {}{}{}{}{4 x+4 x^3-4 \log (3)+(4 x+12 x^3) \log (x)}{(x^3+2 x^5+x^7+(-2 x^2-2 x^4) \log (3)+x \log ^2(3)) \log ^2(x)} \, dx\) [1296]
3.13.97
\(\int \genfrac {}{}{}{}{x^3+e^{2 (4 \log (3)+5 e^x x \log (3))} (16-2 x+e^x (-80 x-70 x^2+10 x^3) \log (3))}{-8 x^3+x^4} \, dx\) [1297]
3.13.98
\(\int e^{1+e^{25+50 x+15 x^2-10 x^3+x^4}+50 x+15 x^2-10 x^3+x^4} (50+30 x-30 x^2+4 x^3) \, dx\) [1298]
3.13.99
\(\int \genfrac {}{}{}{}{-x+x^3+e^{12} (-x+x^3)+e^6 (-2 x+2 x^3)+(-1+2 x^2+e^{12} (-1+2 x^2)+e^6 (-2+4 x^2)) \log (3)+(x+2 e^6 x+e^{12} x) \log (x)}{x^3+2 x^2 \log (3)+x \log ^2(3)} \, dx\) [1299]
3.13.100
\(\int \genfrac {}{}{}{}{-16+x+(-16+2 x) \log (x)}{(-16 x+x^2) \log (x)} \, dx\) [1300]
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