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3.12
Integrals 1101 to 1200
3.12.1
\(\int \genfrac {}{}{}{}{42-6 e^6+6 x^2+24 \log (3)}{x^2} \, dx\) [1101]
3.12.2
\(\int \genfrac {}{}{}{}{-5 e^{21+x} x+e^{42+2 x} (3 e^4-9 x+x^2)+(e^{42+2 x} (-6 e^4+6 x)+e^{21+x} (e^4 (-5-5 x)+5 x+5 x^2)) \log (-e^4+x)}{e^{42+2 x} (9 e^4-9 x)+(e^{21+x} (-30 e^4+30 x)+e^{42+2 x} (36 x-6 x^2+e^4 (-36+6 x))) \log (-e^4+x)+(25 e^4-25 x+e^{21+x} (e^4 (60-10 x)-60 x+10 x^2)+e^{42+2 x} (-36 x+12 x^2-x^3+e^4 (36-12 x+x^2))) \log ^2(-e^4+x)} \, dx\) [1102]
3.12.3
\(\int \genfrac {}{}{}{}{x-2 e^x x+2 e^{-x} x (3-3 x-15 x^2+5 x^3+e^x (3-15 x^2))}{x} \, dx\) [1103]
3.12.4
\(\int \genfrac {}{}{}{}{e^{-\genfrac {}{}{}{}{2 (5+(-3+x) \log (\genfrac {}{}{}{}{6 x}{5}))}{-3+x}} (9 x^2+e^{\genfrac {}{}{}{}{2 (5+(-3+x) \log (\genfrac {}{}{}{}{6 x}{5}))}{-3+x}} (-360+240 x-40 x^2))}{360-240 x+40 x^2} \, dx\) [1104]
3.12.5
\(\int \genfrac {}{}{}{}{1}{5} (109-400 x+390 x^2-160 x^3+25 x^4+(600 x^2-640 x^3+200 x^4) \log (5)+400 x^4 \log ^2(5)) \, dx\) [1105]
3.12.6
\(\int \genfrac {}{}{}{}{320-32 x-44 x^2+8 x^3+e^{20+\genfrac {}{}{}{}{2 e^{20} (4+x^2)}{-20+5 x}} (-40-80 x+10 x^2)+e^{\genfrac {}{}{}{}{e^{20} (4+x^2)}{-20+5 x}} (-320+160 x-20 x^2+e^{20} (40+96 x+22 x^2-4 x^3))}{16-8 x+x^2} \, dx\) [1106]
3.12.7
\(\int \genfrac {}{}{}{}{-e^6-32 x}{e^6} \, dx\) [1107]
3.12.8
\(\int \genfrac {}{}{}{}{e^{-4 e^{3 e^9}} (10 x+6 x^2+(50+50 x+16 x^2) \log (x)+(20 x+8 x^2) \log ^2(x))}{x} \, dx\) [1108]
3.12.9
\(\int \genfrac {}{}{}{}{e^{-x} (20-28 x+17 x^2-6 x^3+x^4+e^{\genfrac {}{}{}{}{-4-x}{-2+x}} (-20+10 x-25 x^2+5 x^3)+(-4+4 x-x^2) \log (4))}{4-4 x+x^2} \, dx\) [1109]
3.12.10
\(\int e^{-e^{-2 e+5 x}} x^{-2-\genfrac {}{}{}{}{1}{x^2}} (-3+3 x^2-15 e^{-2 e+5 x} x^3+6 \log (x)) \, dx\) [1110]
3.12.11
\(\int \genfrac {}{}{}{}{e^5 (2-2 x+x^2)+e^{5+2 x} (2-4 x+2 x^2)}{64-96 x+20 x^2+12 x^3+x^4+e^{4 x} (1-2 x+x^2)+e^{2 x} (16-28 x+10 x^2+2 x^3)} \, dx\) [1111]
3.12.12
\(\int \genfrac {}{}{}{}{-512000000-2048000000 x^2-3840000 x^3-2048000000 x^4-10240000 x^5-5120000 x^7+(2048000000 x^2+4096000000 x^4) \log (x)}{x^{10}+1200 x^7 \log (x)+480000 x^4 \log ^2(x)+64000000 x \log ^3(x)} \, dx\) [1112]
3.12.13
\(\int \genfrac {}{}{}{}{-36+e^2 (5 x+40 x^2+10 x^3)}{5 e^2 x^2} \, dx\) [1113]
3.12.14
\(\int \genfrac {}{}{}{}{e^{6 x} (2 x+x^2)+e^{5 x} (-10 x^2+5 x^3+5 x^4)+e^{4 x} (8 x-4 x^2+20 x^3-30 x^4+10 x^6)+e^{3 x} (-16 x^2+12 x^3-24 x^4+50 x^5-30 x^6-10 x^7+10 x^8)+e^{2 x} (8 x-12 x^2+8 x^3+4 x^4-6 x^5-31 x^6+40 x^7-10 x^8-10 x^9+5 x^{10})+e^x (8 x^2-28 x^3+4 x^4-12 x^5+26 x^6-11 x^7-11 x^8+10 x^9-3 x^{11}+x^{12})+e^{6 x} (7 e^{6 x}+e^{5 x} (-35 x+35 x^2)+e^{4 x} (70 x^2-140 x^3+70 x^4)+e^{3 x} (-70 x^3+210 x^4-210 x^5+70 x^6)+e^{2 x} (35 x^4-140 x^5+210 x^6-140 x^7+35 x^8)+e^x (-7 x^5+35 x^6-70 x^7+70 x^8-35 x^9+7 x^{10}))+e^{3 x} (e^{6 x} (-2-8 x)+e^{5 x} (10 x+30 x^2-40 x^3)+e^{4 x} (-4-8 x-20 x^2-40 x^3+140 x^4-80 x^5)+e^{3 x} (4 x+36 x^2-12 x^3+20 x^4-180 x^5+220 x^6-80 x^7)+e^{2 x} (4 x^2-64 x^3+90 x^4-40 x^5+100 x^6-200 x^7+150 x^8-40 x^9)+e^x (-4 x^3+36 x^4-74 x^5+58 x^6-36 x^7+60 x^8-70 x^9+38 x^{10}-8 x^{11}))}{e^{5 x}-x^5+5 x^6-10 x^7+10 x^8-5 x^9+x^{10}+e^{4 x} (-5 x+5 x^2)+e^{3 x} (10 x^2-20 x^3+10 x^4)+e^{2 x} (-10 x^3+30 x^4-30 x^5+10 x^6)+e^x (5 x^4-20 x^5+30 x^6-20 x^7+5 x^8)} \, dx\) [1114]
3.12.15
\(\int \genfrac {}{}{}{}{-4+4 x+20 x^2}{x+5 x^2} \, dx\) [1115]
3.12.16
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{e^{2/x} x-x \log (3 x^4-6 x^2 \log (6)+3 \log ^2(6))}{\log (3 x^4-6 x^2 \log (6)+3 \log ^2(6))}} (4 e^{2/x} x^3+e^{2/x} (2 x^2-x^3+(-2+x) \log (6)) \log (3 x^4-6 x^2 \log (6)+3 \log ^2(6))+(x^3-x \log (6)) \log ^2(3 x^4-6 x^2 \log (6)+3 \log ^2(6)))}{(-x^3+x \log (6)) \log ^2(3 x^4-6 x^2 \log (6)+3 \log ^2(6))} \, dx\) [1116]
3.12.17
\(\int \genfrac {}{}{}{}{e^x+x^2-2 x^3+x^4+(-10 x+32 x^2-26 x^3+4 x^4+e^x (-5+2 e^2+x)+e^2 (4 x-12 x^2+8 x^3)) \log (\genfrac {}{}{}{}{1}{2} (-5+2 e^2+x))}{-5+2 e^2+x} \, dx\) [1117]
3.12.18
\(\int \genfrac {}{}{}{}{4+\log (3)+e^{e^x+x+x^4} (-6+x-20 x^3+4 x^4+e^x (-5+x-\log (3))+(-1-4 x^3) \log (3))}{1+e^{2 e^x+2 x+2 x^4}+e^{e^x+x+x^4} (2-2 x)-2 x+x^2} \, dx\) [1118]
3.12.19
\(\int \genfrac {}{}{}{}{e (-1250+2000 x-1250 x^2+390 x^3-52 x^4)}{-5625 x+14625 x^2-14550 x^3+7110 x^4-1729 x^5+169 x^6+(3750 x-9750 x^2+9650 x^3-4650 x^4+1104 x^5-104 x^6) \log (\genfrac {}{}{}{}{1-2 x+x^2}{x^2})+(-625 x+1625 x^2-1600 x^3+760 x^4-176 x^5+16 x^6) \log ^2(\genfrac {}{}{}{}{1-2 x+x^2}{x^2})} \, dx\) [1119]
3.12.20
\(\int \genfrac {}{}{}{}{(-20+6 x+(10-2 x+100 x^2-40 x^3+4 x^4) \log (\genfrac {}{}{}{}{-1-10 x^2+2 x^3}{-5 x^2+x^3})) \log (3 x \log (\genfrac {}{}{}{}{-1-10 x^2+2 x^3}{-5 x^2+x^3}))}{(5 x-x^2+50 x^3-20 x^4+2 x^5) \log (\genfrac {}{}{}{}{-1-10 x^2+2 x^3}{-5 x^2+x^3})} \, dx\) [1120]
3.12.21
\(\int \genfrac {}{}{}{}{1+5 x+2 x^2-x^3-x \log (x)+(6 x+x^3-x \log (x)) \log (3 x)}{12 x+24 x^2 \log (3 x)+12 x^3 \log ^2(3 x)} \, dx\) [1121]
3.12.22
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{e^{x/2}+10 x}{2 x}} (-24 x+e^{x/2} (-12+6 x))}{x^3} \, dx\) [1122]
3.12.23
\(\int \genfrac {}{}{}{}{e^{289+25 \log ^2(x)} (171-50 \log (x))}{x^{170} (\genfrac {}{}{}{}{e^{289+25 \log ^2(x)}}{x^{169}}+x^2)} \, dx\) [1123]
3.12.24
\(\int \genfrac {}{}{}{}{2^{5 x/4} (100+(125 x-75 x^2+25 e^3 x^2) \log (2))}{800-960 x+288 x^2+32 e^6 x^2+e^3 (320 x-192 x^2)} \, dx\) [1124]
3.12.25
\(\int \genfrac {}{}{}{}{1}{3} (3-7 e^{\genfrac {}{}{}{}{1}{3} (10-3 e^9+7 x)}) \, dx\) [1125]
3.12.26
\(\int \genfrac {}{}{}{}{e^{-2-x} (-6-12 x-2 x^2+e^{2+x} (x^2+3 x^3+x^4+3 x^5+3 x^6+x^7))}{x^4+3 x^5+3 x^6+x^7} \, dx\) [1126]
3.12.27
\(\int \genfrac {}{}{}{}{-2048 e^{\genfrac {}{}{}{}{-2-x+5 x \log (3)}{x}}+7168 e^{\genfrac {}{}{}{}{2 (-2-x+5 x \log (3))}{x}}-10752 e^{\genfrac {}{}{}{}{3 (-2-x+5 x \log (3))}{x}}+8960 e^{\genfrac {}{}{}{}{4 (-2-x+5 x \log (3))}{x}}-4480 e^{\genfrac {}{}{}{}{5 (-2-x+5 x \log (3))}{x}}+1344 e^{\genfrac {}{}{}{}{6 (-2-x+5 x \log (3))}{x}}-224 e^{\genfrac {}{}{}{}{7 (-2-x+5 x \log (3))}{x}}+16 e^{\genfrac {}{}{}{}{8 (-2-x+5 x \log (3))}{x}}}{x^2} \, dx\) [1127]
3.12.28
\(\int \genfrac {}{}{}{}{1}{4} (4+e^{\genfrac {}{}{}{}{1}{4} (-554725+149161 x-6371 x^2-529 x^3)} (149161-12742 x-1587 x^2)) \, dx\) [1128]
3.12.29
\(\int (-3-2 \log (\genfrac {}{}{}{}{3 x^2}{\log ^2(2 e^3)})) \, dx\) [1129]
3.12.30
\(\int \genfrac {}{}{}{}{-1-4 x+e^{e^{10 x^2}-2 e^{5 x^2} x \log (\genfrac {}{}{}{}{1}{x+4 x^2})+x^2 \log ^2(\genfrac {}{}{}{}{1}{x+4 x^2})} (e^{5 x^2} (2+16 x)+e^{10 x^2} (20 x+80 x^2)+(-2 x-16 x^2+e^{5 x^2} (-2-8 x-20 x^2-80 x^3)) \log (\genfrac {}{}{}{}{1}{x+4 x^2})+(2 x+8 x^2) \log ^2(\genfrac {}{}{}{}{1}{x+4 x^2}))}{1+4 x} \, dx\) [1130]
3.12.31
\(\int \genfrac {}{}{}{}{-10 x-2 x^3+e^2 (10+2 x^2)+e^5 (10+2 x^2)+(-10 x^2+8 x^3+2 x^4) \log ^2(-1+x)+(10+2 x^2) \log (\genfrac {}{}{}{}{-5-x}{x})+\log (-1+x) (10 x+10 x^2-6 x^3-2 x^4+e^2 (-10 x+8 x^2+2 x^3)+e^5 (-10 x+8 x^2+2 x^3)+(-10 x+8 x^2+2 x^3) \log (\genfrac {}{}{}{}{-5-x}{x}))}{-5 x+4 x^2+x^3} \, dx\) [1131]
3.12.32
\(\int \genfrac {}{}{}{}{1}{64} e^{-x^2+\genfrac {}{}{}{}{1}{4} e^{-x^2} (4 x+3 e^{x^2} x)} (-4-3 e^{x^2}+8 x^2) \, dx\) [1132]
3.12.33
\(\int \genfrac {}{}{}{}{24 x^2+8 x^4-2 x^6}{48+96 x^2+24 x^3+72 x^4+24 x^5+27 x^6+6 x^7+3 x^8} \, dx\) [1133]
3.12.34
\(\int \genfrac {}{}{}{}{1}{2} (26+5 e^x-6 x) \, dx\) [1134]
3.12.35
\(\int 2 e^{2 x} \log (25) \, dx\) [1135]
3.12.36
\(\int \genfrac {}{}{}{}{-x^2+2 x^3-x^4+e^4 (-4+8 x)}{x^2-2 x^3+x^4} \, dx\) [1136]
3.12.37
\(\int \genfrac {}{}{}{}{-x^2+e^{e^{4 x^2}} (1-x-8 e^{4 x^2} x^2)}{e^{e^{4 x^2}} x+x^2} \, dx\) [1137]
3.12.38
\(\int \genfrac {}{}{}{}{-37-61 x-99 x^2+27 x^3+e^3 (-45-81 x+18 x^2)+(-90-162 x+36 x^2) \log (5-x)}{-10+2 x} \, dx\) [1138]
3.12.39
\(\int \genfrac {}{}{}{}{-10 x^2+180 e^{-x^2} x^3+(-10 x+45 e^{-x^2} x+5 x^2) \log (-2+9 e^{-x^2}+x)}{(-2+9 e^{-x^2}+x) \log ^5(-2+9 e^{-x^2}+x)} \, dx\) [1139]
3.12.40
\(\int e^{3 x+4 e^{16 x-2 x \log (x)} x-8 e^{8 x-x \log (x)} x^2+4 x^3} (3+12 x^2+e^{16 x-2 x \log (x)} (4+56 x-8 x \log (x))+e^{8 x-x \log (x)} (-16 x-56 x^2+8 x^2 \log (x))) \, dx\) [1140]
3.12.41
\(\int \genfrac {}{}{}{}{-20+6 x^2+(20-6 x^2) \log (x) \log (4 \log (x))+(-10-3 x^2) \log (x) \log (4 \log (x)) \log (\genfrac {}{}{}{}{\log (4 \log (x))}{2 x}) \log (\log ^2(\genfrac {}{}{}{}{\log (4 \log (x))}{2 x}))}{(-10 x+3 x^3) \log (x) \log (4 \log (x)) \log (\genfrac {}{}{}{}{\log (4 \log (x))}{2 x}) \log (\log ^2(\genfrac {}{}{}{}{\log (4 \log (x))}{2 x}))} \, dx\) [1141]
3.12.42
\(\int \genfrac {}{}{}{}{e^{e^x-2 x+x^2} (e^{2 x} (4 x^2+x^3)+e^x (2 x-4 x^2+7 x^3+2 x^4)+(e^{2 x} (4 x+x^2)+e^x (-4-5 x+7 x^2+2 x^3)) \log (16+8 x+x^2))}{4 x^2+x^3} \, dx\) [1142]
3.12.43
\(\int \genfrac {}{}{}{}{18 e^5 x^2+54 e^5 x^2 \log (x)}{-1+e^5 (18 e+e^2)} \, dx\) [1143]
3.12.44
\(\int \genfrac {}{}{}{}{-10+2 x^3+(3 x^2-4 x^3) \log (2)-x^2 \log (5)}{2 x^2} \, dx\) [1144]
3.12.45
\(\int \genfrac {}{}{}{}{1}{3} (24+e^{\genfrac {}{}{}{}{1}{3} (9+5 x)} (3+5 x)+3 \log (4)) \, dx\) [1145]
3.12.46
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{-4+63 x+16 x^2+e^4 (-4 x-x^2)}{x}} (4+16 x^2-e^4 x^2)}{x^2} \, dx\) [1146]
3.12.47
\(\int \genfrac {}{}{}{}{e (-9+18 x+3 x^2)+e x^2 \log (x^2)}{x^2} \, dx\) [1147]
3.12.48
\(\int \genfrac {}{}{}{}{-x^2+3 x^2 \log (x)-5 \log (4) \log ^2(x)}{-x^3 \log (x)+(-5+5 x \log (4)) \log ^2(x)} \, dx\) [1148]
3.12.49
\(\int \genfrac {}{}{}{}{-e^4 x-e^4 \log (16)}{x^3 \log (2)+2 x^2 \log (2) \log (16) \log (3 x)+x \log (2) \log ^2(16) \log ^2(3 x)} \, dx\) [1149]
3.12.50
\(\int (3+2 \log (x)) \, dx\) [1150]
3.12.51
\(\int \genfrac {}{}{}{}{-5 x-5 x^2-5 x^4-5 x^5+(-5-5 x) \log (4)+(10 x+5 x^2+25 x^4+20 x^5+5 \log (4)) \log (-x)+(1+2 x+x^2) \log ^2(-x)}{(5+10 x+5 x^2) \log ^2(-x)} \, dx\) [1151]
3.12.52
\(\int \genfrac {}{}{}{}{e^{\log ^2(\genfrac {}{}{}{}{x^2 \log (5)}{\log (x^3)})} (-30+20 \log (x^3)) \log (\genfrac {}{}{}{}{x^2 \log (5)}{\log (x^3)})}{x \log (x^3)} \, dx\) [1152]
3.12.53
\(\int \genfrac {}{}{}{}{e^{-2 x} ((-6+12 x) \log (2)+e^{2 x} (e^4+6 x \log (2)+\log (2) \log (5)))}{\log (2)} \, dx\) [1153]
3.12.54
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{36+48 x-7 x^2-7 x^3+x^4+(-3 x^2+x^3) \log (5)}{-12-20 x-4 x^2+x^3+x^2 \log (5)}} (144+456 x+476 x^2+136 x^3-25 x^4-8 x^5+x^6+(-24 x^2-40 x^3-8 x^4+2 x^5) \log (5)+x^4 \log ^2(5))}{144+480 x+496 x^2+136 x^3-24 x^4-8 x^5+x^6+(-24 x^2-40 x^3-8 x^4+2 x^5) \log (5)+x^4 \log ^2(5)} \, dx\) [1154]
3.12.55
\(\int \genfrac {}{}{}{}{6-3 x-2 x^2+88 x^4+40 x^5-170 x^6-70 x^7-128 x^8+400 x^{10}-300 x^{12}+(-2+2 x-32 x^4+60 x^6) \log (x)}{x} \, dx\) [1155]
3.12.56
\(\int \genfrac {}{}{}{}{165+1920 x+8320 x^2-61440 x^4+(-165-3840 x-30720 x^2-81920 x^3) \log (x)}{x^2+2 x \log (x)+\log ^2(x)} \, dx\) [1156]
3.12.57
\(\int \genfrac {}{}{}{}{-45-20 x-10 x^2+e^{2 x} (-2 x-x^2)+e^x (-9-5 x-x^2-3 x^3)}{45 x+55 x^2+10 x^3+e^{2 x} (x^2+x^3)+e^x (9 x+16 x^2+7 x^3)} \, dx\) [1157]
3.12.58
\(\int (e^{4-x} (-12-3 x)+e^{4-x+x^2} (-6+12 x) \log (\log (4))) \, dx\) [1158]
3.12.59
\(\int \genfrac {}{}{}{}{1}{2} e^{3+x-e^{16+x} x-x^2} (1+e^{16+x} (-1-x)-2 x) \, dx\) [1159]
3.12.60
\(\int \genfrac {}{}{}{}{1}{5} e^{-e^{\genfrac {}{}{}{}{1}{5} (-7-7 x+4 x^2)}} (-5+e^{\genfrac {}{}{}{}{1}{5} (-7-7 x+4 x^2)} (-63+65 x+8 x^2)) \, dx\) [1160]
3.12.61
\(\int \genfrac {}{}{}{}{-2 e^4 x+e^x x-6 e^{-6+3 x} x}{2 x} \, dx\) [1161]
3.12.62
\(\int -\genfrac {}{}{}{}{15 \log (5)}{2 x^2} \, dx\) [1162]
3.12.63
\(\int \genfrac {}{}{}{}{-72-12 x+16 x^2+4 x^3+e^2 (-72+36 x)+(18+e^2 (18-9 x)+3 x-4 x^2-x^3) \log (\genfrac {}{}{}{}{1}{9} (9+9 e^2+6 x+x^2))+(-48-28 x+2 x^2+2 x^3+(-24-2 x+2 x^2) \log (16-8 x+x^2)) \log (2+x+\log (16-8 x+x^2))}{(-72-66 x-11 x^2+4 x^3+x^4+e^2 (-72-18 x+9 x^2)+(-36-15 x+2 x^2+x^3+e^2 (-36+9 x)) \log (16-8 x+x^2)) \log ^2(2+x+\log (16-8 x+x^2))} \, dx\) [1163]
3.12.64
\(\int \genfrac {}{}{}{}{(-20 x+e^{3+2 x} (16 x+16 x^2+4 x^3)) \log (x) \log (\genfrac {}{}{}{}{-5 x+e^{3+2 x} (2+x)}{2+x})+(20 x+10 x^2+e^{3+2 x} (-8-8 x-2 x^2)+(-10 x-5 x^2+e^{3+2 x} (4+4 x+x^2)) \log (x)) \log ^2(\genfrac {}{}{}{}{-5 x+e^{3+2 x} (2+x)}{2+x})}{(-10 x-5 x^2+e^{3+2 x} (4+4 x+x^2)) \log ^3(x)} \, dx\) [1164]
3.12.65
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{x+(3+x) \log (x)}{\log (x)}} (-x+x \log (x)+(-2+x) \log ^2(x))}{x^3 \log ^2(x)} \, dx\) [1165]
3.12.66
\(\int \genfrac {}{}{}{}{3 x-4 x^2+2 x^3+e^{x/2} (6 x-8 x^2)+e^x (-x+2 x^2)+(-2-8 e^{x/2}+2 e^x+2 x) \log (x)}{-x-4 e^{x/2} x+e^x x+x^2} \, dx\) [1166]
3.12.67
\(\int \genfrac {}{}{}{}{-25+100 x-19 x^2+e^{e^{x^2-2 x^2 \log (2)+x^2 \log ^2(2)}} (25-x^2+e^{x^2-2 x^2 \log (2)+x^2 \log ^2(2)} (50 x^2-20 x^3+2 x^4+(-100 x^2+40 x^3-4 x^4) \log (2)+(50 x^2-20 x^3+2 x^4) \log ^2(2)))}{x^2+e^{2 e^{x^2-2 x^2 \log (2)+x^2 \log ^2(2)}} x^2-4 x^3+4 x^4+e^{e^{x^2-2 x^2 \log (2)+x^2 \log ^2(2)}} (-2 x^2+4 x^3)} \, dx\) [1167]
3.12.68
\(\int \genfrac {}{}{}{}{(-35+14 x+x^2) \log (3)+28 \log ^2(3)}{25 x^2-10 x^3+x^4+(-40 x^2+8 x^3) \log (3)+16 x^2 \log ^2(3)} \, dx\) [1168]
3.12.69
\(\int \genfrac {}{}{}{}{-2 e^{x+\genfrac {}{}{}{}{1}{\log (64)}} x+e^{\genfrac {}{}{}{}{1}{\log (64)}} (1+x)}{-x-2 e^{x+\genfrac {}{}{}{}{1}{\log (64)}} x+e^{\genfrac {}{}{}{}{1}{\log (64)}} x^2+e^{\genfrac {}{}{}{}{1}{\log (64)}} x \log (x)} \, dx\) [1169]
3.12.70
\(\int \genfrac {}{}{}{}{-4-x^2+x^5 \log (x^2)+x^5 \log ^2(x^2)}{x^2} \, dx\) [1170]
3.12.71
\(\int \genfrac {}{}{}{}{e^2 (-490-49 x)}{15 x^3} \, dx\) [1171]
3.12.72
\(\int \genfrac {}{}{}{}{e^{e^{x^2}+x^{\genfrac {}{}{}{}{1}{x}}} (250 x-500 e^{x^2} x^3+x^{\genfrac {}{}{}{}{1}{x}} (-250+250 \log (x)))}{125 e^{3 e^{x^2}+3 x^{\genfrac {}{}{}{}{1}{x}}}-1050 e^{2 e^{x^2}+2 x^{\genfrac {}{}{}{}{1}{x}}} x+2940 e^{e^{x^2}+x^{\genfrac {}{}{}{}{1}{x}}} x^2-2744 x^3} \, dx\) [1172]
3.12.73
\(\int \genfrac {}{}{}{}{e^{-5-x} (-1024-1024 x-21 x^2-15 x^3)}{4 x^2} \, dx\) [1173]
3.12.74
\(\int \genfrac {}{}{}{}{-160+(-4000+e^{7-x} (-1600-800 x)+e^{14-2 x} (-160-160 x)) \log (x)+160 \log (x) \log (4 \log ^2(x))}{x^3 \log (x)} \, dx\) [1174]
3.12.75
\(\int \genfrac {}{}{}{}{e^{-3-x} (-2+(1-x) \log (x))}{\log (5) \log ^3(x)} \, dx\) [1175]
3.12.76
\(\int \genfrac {}{}{}{}{-6625-45000 e^{2 e^{e^x}+e^x+x}-3200 x-4000 \log (3)+e^{e^{e^x}} (12000+e^{e^x+x} (22500+12000 x+15000 \log (3)))}{50625+810000 e^{4 e^{e^x}}+119250 x+99025 x^2+33920 x^3+4096 x^4+e^{3 e^{e^x}} (-1620000-864000 x-1080000 \log (3))+(135000+231000 x+123200 x^2+20480 x^3) \log (3)+(135000+149000 x+38400 x^2) \log ^2(3)+(60000+32000 x) \log ^3(3)+10000 \log ^4(3)+e^{2 e^{e^x}} (1215000+1341000 x+345600 x^2+(1620000+864000 x) \log (3)+540000 \log ^2(3))+e^{e^{e^x}} (-405000-693000 x-369600 x^2-61440 x^3+(-810000-894000 x-230400 x^2) \log (3)+(-540000-288000 x) \log ^2(3)-120000 \log ^3(3))} \, dx\) [1176]
3.12.77
\(\int \genfrac {}{}{}{}{-1296 x^2+(-13932-648 x^2) \log (\genfrac {}{}{}{}{1}{2} (43+2 x^2)) \log (\log (\genfrac {}{}{}{}{1}{2} (43+2 x^2))) \log (\log (\log (\genfrac {}{}{}{}{1}{2} (43+2 x^2))))}{e^3 (43 x^5+2 x^7) \log (\genfrac {}{}{}{}{1}{2} (43+2 x^2)) \log (\log (\genfrac {}{}{}{}{1}{2} (43+2 x^2))) \log ^5(\log (\log (\genfrac {}{}{}{}{1}{2} (43+2 x^2))))} \, dx\) [1177]
3.12.78
\(\int (3 x^2-16 x^3+20 x^4+5 e^{16} x^4+e^8 (-8 x^3+20 x^4)) \, dx\) [1178]
3.12.79
\(\int \genfrac {}{}{}{}{-1+x^{e^4 x+4 e^{5-x} x} (e^4 x+4 e^{5-x} x+(e^4 x+4 e^{5-x} (x-x^2)) \log (x))}{x} \, dx\) [1179]
3.12.80
\(\int \genfrac {}{}{}{}{-4 x-4 e^x x+(4 e^x+4 x+4 \log (4)) \log (e^x+x+\log (4))+(8 e^x+8 x+8 \log (4)) \log ^2(e^x+x+\log (4))}{(e^x+x+\log (4)) \log ^2(e^x+x+\log (4))} \, dx\) [1180]
3.12.81
\(\int (e (-13+9 x^2)+e \log (16)+e^x (-13+6 x+3 x^2+\log (16))) \, dx\) [1181]
3.12.82
\(\int e^{x^2} (8 x-2 x \log (3)) \, dx\) [1182]
3.12.83
\(\int \genfrac {}{}{}{}{-24+8 e^x-8 x-4 x^2}{78-12 x+13 x^2-2 x^3+e^x (-13+2 x)+(-12+2 e^x-2 x^2) \log (18-3 e^x+3 x^2)} \, dx\) [1183]
3.12.84
\(\int \genfrac {}{}{}{}{-89+4 x+4 x^2-6 \log (x)-\log ^2(x)}{x^2} \, dx\) [1184]
3.12.85
\(\int \genfrac {}{}{}{}{6+203 x+200 x^2+50 x^3-3 x \log (x)}{120 x+120 x^2+30 x^3} \, dx\) [1185]
3.12.86
\(\int \genfrac {}{}{}{}{300-120 x^2+12 x^4+2^{-\genfrac {}{}{}{}{x}{-5+x^2}} (-75+150 x-45 x^2-60 x^3+27 x^4+6 x^5-3 x^6+(-15 x+30 x^2-18 x^3+6 x^4-3 x^5) \log (2))}{100-200 x+60 x^2+80 x^3-36 x^4-8 x^5+4 x^6} \, dx\) [1186]
3.12.87
\(\int \genfrac {}{}{}{}{e^{-\genfrac {}{}{}{}{5 x^2+x^3-\log (5)-x^2 \log (x)}{x^2}} (2 x^2-x^3-2 \log (5))}{x^2} \, dx\) [1187]
3.12.88
\(\int \genfrac {}{}{}{}{(1296-432 x+1296 e x) \log ^3(x)+(1296-432 x+1296 e x) \log ^2(x) \log (4-x+3 e x)+(432-144 x+432 e x) \log (x) \log ^2(4-x+3 e x)+(48-16 x+48 e x) \log ^3(4-x+3 e x)}{4 x-x^2+3 e x^2} \, dx\) [1188]
3.12.89
\(\int \genfrac {}{}{}{}{e^{-x+\genfrac {}{}{}{}{21 x-15 x^2+4 x^3+(-8 x+4 x^2) \log (x)+x \log ^2(x)}{-3+x}} (-48+76 x-48 x^2+8 x^3+(18-22 x+4 x^2) \log (x)-3 \log ^2(x))}{9-6 x+x^2} \, dx\) [1189]
3.12.90
\(\int 2 e^{-10+e^3+e^{20 x}} (1+20 e^{20 x} x) \, dx\) [1190]
3.12.91
\(\int \genfrac {}{}{}{}{1+e^{8+x} (5-x-x^2)}{e^8} \, dx\) [1191]
3.12.92
\(\int \genfrac {}{}{}{}{e^{6/5} (-6+x^3)}{3 x-4 x^3+x^4} \, dx\) [1192]
3.12.93
\(\int (-240-8 e^{\genfrac {}{}{}{}{6}{5+e^3}}+32 x) \, dx\) [1193]
3.12.94
\(\int \genfrac {}{}{}{}{16 x^2+e^x (8 x+8 x^2)+(6 x+e^{2 x} x+2 x^3+e^x (3+3 x^2)) \log (3+e^x x+x^2)+(64 x+e^x (32+32 x)+(24+8 e^x x+8 x^2) \log (3+e^x x+x^2)) \log ((-1+\log (9)) \log (3+e^x x+x^2))}{(3+e^x x+x^2) \log (3+e^x x+x^2)} \, dx\) [1194]
3.12.95
\(\int \genfrac {}{}{}{}{-6 e^5-6 x+(-6 x-6 x^2-2 x^6+e^5 (-6 x-2 x^5)) \log (\genfrac {}{}{}{}{2}{x})+(6 e^5 x^4+6 x^5) \log (\genfrac {}{}{}{}{2}{x}) \log (\genfrac {}{}{}{}{5 \log (\genfrac {}{}{}{}{2}{x})}{e^5+x})+(-6 e^5 x^3-6 x^4) \log (\genfrac {}{}{}{}{2}{x}) \log ^2(\genfrac {}{}{}{}{5 \log (\genfrac {}{}{}{}{2}{x})}{e^5+x})+(2 e^5 x^2+2 x^3) \log (\genfrac {}{}{}{}{2}{x}) \log ^3(\genfrac {}{}{}{}{5 \log (\genfrac {}{}{}{}{2}{x})}{e^5+x})}{(-e^5 x^4-x^5) \log (\genfrac {}{}{}{}{2}{x})+(3 e^5 x^3+3 x^4) \log (\genfrac {}{}{}{}{2}{x}) \log (\genfrac {}{}{}{}{5 \log (\genfrac {}{}{}{}{2}{x})}{e^5+x})+(-3 e^5 x^2-3 x^3) \log (\genfrac {}{}{}{}{2}{x}) \log ^2(\genfrac {}{}{}{}{5 \log (\genfrac {}{}{}{}{2}{x})}{e^5+x})+(e^5 x+x^2) \log (\genfrac {}{}{}{}{2}{x}) \log ^3(\genfrac {}{}{}{}{5 \log (\genfrac {}{}{}{}{2}{x})}{e^5+x})} \, dx\) [1195]
3.12.96
\(\int \genfrac {}{}{}{}{e^x (3 x-2 x^2-x^3+e^5 (x-x^2))+e^x (-3+e^5 (-1+x)+2 x+x^2) \log (3+e^5+x)+\genfrac {}{}{}{}{(e^x (-x-4 x^2-x^3+e^5 (-x-x^2))+e^x (-3+e^5 (-1+x)+2 x+x^2) \log (3+e^5+x)) (x^2-2 x \log (3+e^5+x)+\log ^2(3+e^5+x))}{e}}{-3 x^3-e^5 x^3-x^4+(3 x^2+e^5 x^2+x^3) \log (3+e^5+x)} \, dx\) [1196]
3.12.97
\(\int (10 x-3 x^2+e^{2 e^{9 x^2}} (2 x+36 e^{9 x^2} x^3)) \, dx\) [1197]
3.12.98
\(\int \genfrac {}{}{}{}{-64+16 x+8 x^2+e^{2 x^2} (2 x^2+4 x^4)+(32-12 x-8 x^2) \log (4)+(-4+2 x+2 x^2) \log ^2(4)+e^{x^2} (-8 x-8 x^2-32 x^3-8 x^4+(2 x+4 x^2+8 x^3+4 x^4) \log (4))+(32-16 x+(-16+12 x) \log (4)+(2-2 x) \log ^2(4)+e^{x^2} (8 x+16 x^3+(-2 x-4 x^3) \log (4))) \log (x)}{16 x-8 x \log (4)+x \log ^2(4)} \, dx\) [1198]
3.12.99
\(\int \genfrac {}{}{}{}{24 x^2+16 x^3+8 x^4+2 x^5}{4+4 x+x^2} \, dx\) [1199]
3.12.100
\(\int \genfrac {}{}{}{}{2 e^5+x}{e^5 x+x^2} \, dx\) [1200]
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