[
next
] [
prev
] [
prev-tail
] [
tail
] [
up
]
3.11
Integrals 1001 to 1100
3.11.1
\(\int \genfrac {}{}{}{}{1}{3} (-15-3 e^2-30 x-9 x^2+(150 x+45 x^2+e^9 (10 x+3 x^2)) \log (5)) \, dx\) [1001]
3.11.2
\(\int \genfrac {}{}{}{}{e^{-\genfrac {}{}{}{}{-x+\log ((6+e^3-x) \log (x-\log (4+4 x)))}{x}} (6 x^2+e^3 x^2-x^3+(-7 x^2-6 x^3+x^4+e^3 (-x^2-x^3)+(7 x+6 x^2-x^3+e^3 (x+x^2)) \log (4+4 x)) \log (x-\log (4+4 x))+(-6 x-5 x^2+x^3+e^3 (-x-x^2)+(6+5 x-x^2+e^3 (1+x)) \log (4+4 x)) \log (x-\log (4+4 x)) \log ((6+e^3-x) \log (x-\log (4+4 x))))}{(-6 x^2-5 x^3+x^4+e^3 (-x^2-x^3)+(6 x+5 x^2-x^3+e^3 (x+x^2)) \log (4+4 x)) \log (x-\log (4+4 x))} \, dx\) [1002]
3.11.3
\(\int e^{-26-x} (-4 e^x+e^{26+x} (2 x-3 x^2)) \, dx\) [1003]
3.11.4
\(\int \genfrac {}{}{}{}{-80 x+e^x (1064-912 x+270 x^2-27 x^3)}{-1000+900 x-270 x^2+27 x^3} \, dx\) [1004]
3.11.5
\(\int \genfrac {}{}{}{}{3 e^8+x^4+12 x^7}{x^4} \, dx\) [1005]
3.11.6
\(\int \genfrac {}{}{}{}{(-20+100 x-180 x^4+100 x^5) \log (x^2)+(40+40 x^4) \log (\genfrac {}{}{}{}{e^{5 x}}{x+2 x^5+x^9})}{x+x^5} \, dx\) [1006]
3.11.7
\(\int \genfrac {}{}{}{}{x^{11}-2 x^6 \log (x)+x \log ^2(x)+e^{\genfrac {}{}{}{}{-256 x^5-81 x^6+81 \log (2)+(256+81 x) \log (x)}{-81 x^5+81 \log (x)}} (-x^{11}+(1-5 x^5) \log (2)+2 x^6 \log (x)-x \log ^2(x))}{x^{11}-2 x^6 \log (x)+x \log ^2(x)} \, dx\) [1007]
3.11.8
\(\int \genfrac {}{}{}{}{3+e^{25}-x+e^{1+x} (9+e^{50} (1-x)-15 x+7 x^2-x^3+e^{25} (6-8 x+2 x^2))+(-3-e^{25}+2 x) \log (x)+(9 x+e^{50} x-6 x^2+x^3+e^{25} (6 x-2 x^2)+e^{1+x} (-9-e^{50}+6 x-x^2+e^{25} (-6+2 x))+(3+e^{25}-x) \log (x)) \log (\genfrac {}{}{}{}{3 x+e^{25} x-x^2}{3 x+e^{25} x-x^2+e^{1+x} (-3-e^{25}+x)+\log (x)}) \log (\log (\genfrac {}{}{}{}{3 x+e^{25} x-x^2}{3 x+e^{25} x-x^2+e^{1+x} (-3-e^{25}+x)+\log (x)}))}{(9 x+e^{50} x-6 x^2+x^3+e^{25} (6 x-2 x^2)+e^{1+x} (-9-e^{50}+6 x-x^2+e^{25} (-6+2 x))+(3+e^{25}-x) \log (x)) \log (\genfrac {}{}{}{}{3 x+e^{25} x-x^2}{3 x+e^{25} x-x^2+e^{1+x} (-3-e^{25}+x)+\log (x)}) \log ^2(\log (\genfrac {}{}{}{}{3 x+e^{25} x-x^2}{3 x+e^{25} x-x^2+e^{1+x} (-3-e^{25}+x)+\log (x)}))} \, dx\) [1008]
3.11.9
\(\int \genfrac {}{}{}{}{1+x^2+e^x (2 x^2+x^3)+(-1+x^2+e^x (x+x^2)) \log (\genfrac {}{}{}{}{1-x^2+e^x (-x-x^2)}{x})}{-1+x^2+e^x (x+x^2)} \, dx\) [1009]
3.11.10
\(\int \genfrac {}{}{}{}{e^{1-e^2-x+4 \log ^2(\genfrac {}{}{}{}{x}{e^3})} (-x+8 \log (\genfrac {}{}{}{}{x}{e^3}))}{x} \, dx\) [1010]
3.11.11
\(\int \genfrac {}{}{}{}{e^x x^2 (i \pi +\log (2))-2 e^x (i \pi +\log (2)) \log (x)+\log (4 e^{2/x}) (e^x x (i \pi +\log (2))+e^x x^2 (i \pi +\log (2)) \log (x))}{x^2} \, dx\) [1011]
3.11.12
\(\int (2+e^{12 e^{\genfrac {}{}{}{}{4-x}{x}}} (-192 e^{\genfrac {}{}{}{}{4-x}{x}}+8 x)) \, dx\) [1012]
3.11.13
\(\int \genfrac {}{}{}{}{1+2 e^3-x+x^2+2 x^3+3 x^5+(x-x^3) \log (5)-2 \log (x)}{x^3} \, dx\) [1013]
3.11.14
\(\int \genfrac {}{}{}{}{-25+20 x^2+(5 x-4 x^3) \log (5)+(20 x^2-4 x^3 \log (5)) \log ^2(x)+(-5+x \log (5)) \log (\genfrac {}{}{}{}{5-x \log (5)}{\log (5)})+\log (x) (-25-20 x^2+(4 x+4 x^3) \log (5)+(-5+x \log (5)) \log (\genfrac {}{}{}{}{5-x \log (5)}{\log (5)}))}{(60 x^2-20 e^3 x^2+20 x^3+(-12 x^3+4 e^3 x^3-4 x^4) \log (5)) \log ^2(x)+\log (x) (25 x-20 x^3+(-5 x^2+4 x^4) \log (5)+(5 x-x^2 \log (5)) \log (\genfrac {}{}{}{}{5-x \log (5)}{\log (5)}))} \, dx\) [1014]
3.11.15
\(\int \genfrac {}{}{}{}{1-2 x+2 x^2+x^4}{1+2 x^2+x^4} \, dx\) [1015]
3.11.16
\(\int \genfrac {}{}{}{}{(-864-288 x^2-336 x^4+256 x^6+64 x^8+16 x^{10}) \log (\genfrac {}{}{}{}{9+6 x^2+2 x^4+x^6}{6 x+2 x^3+x^5})}{54 x+54 x^3+33 x^5+16 x^7+4 x^9+x^{11}+(216 x+216 x^3+132 x^5+64 x^7+16 x^9+4 x^{11}) \log ^2(\genfrac {}{}{}{}{9+6 x^2+2 x^4+x^6}{6 x+2 x^3+x^5})} \, dx\) [1016]
3.11.17
\(\int \genfrac {}{}{}{}{4^{-\genfrac {}{}{}{}{1}{x^4}} (16+3 x-64 x^2+64 x^4)^{\genfrac {}{}{}{}{1}{x^4}} (12 x-512 x^2+1024 x^4+(-256-48 x+1024 x^2-1024 x^4) \log (\genfrac {}{}{}{}{1}{4} (16+3 x-64 x^2+64 x^4)))}{16 x^5+3 x^6-64 x^7+64 x^9} \, dx\) [1017]
3.11.18
\(\int \genfrac {}{}{}{}{30+e^{2 x}+e^x (11-x)}{25+10 e^x+e^{2 x}} \, dx\) [1018]
3.11.19
\(\int \genfrac {}{}{}{}{e^{-9-12 e^{\genfrac {}{}{}{}{x+4 \log (4)}{\log (4)}}-4 e^{\genfrac {}{}{}{}{2 (x+4 \log (4))}{\log (4)}}+x} (-24 e^{\genfrac {}{}{}{}{x+4 \log (4)}{\log (4)}} x-16 e^{\genfrac {}{}{}{}{2 (x+4 \log (4))}{\log (4)}} x+(2+2 x) \log (4))}{\log (4)} \, dx\) [1019]
3.11.20
\(\int \genfrac {}{}{}{}{(2-e^x x) \log (x)+\log (-3 e^{-e^x} x^2)}{x} \, dx\) [1020]
3.11.21
\(\int \genfrac {}{}{}{}{x^2+e^{e^{\genfrac {}{}{}{}{-1-e-x+\log (5)}{x}}+\genfrac {}{}{}{}{-1-e-x+\log (5)}{x}} (1+e-\log (5))}{x^2} \, dx\) [1021]
3.11.22
\(\int \genfrac {}{}{}{}{(\genfrac {}{}{}{}{x^2}{e^3+x})^{\genfrac {}{}{}{}{1}{36} (900+132 x+x^2)} (900 x+132 x^2+x^3+e^3 (1800+264 x+2 x^2)+(132 x^2+2 x^3+e^3 (132 x+2 x^2)) \log (\genfrac {}{}{}{}{x^2}{e^3+x}))}{36 e^3 x+36 x^2} \, dx\) [1022]
3.11.23
\(\int \genfrac {}{}{}{}{x^3+e^{\genfrac {}{}{}{}{-2 x^2+\log (4)}{x^3}} (2 x^2-3 \log (4))}{x^4} \, dx\) [1023]
3.11.24
\(\int \genfrac {}{}{}{}{4+2 \log (x^2)+2 \log (x^2) \log (x \log (x^2))-2 \log (x^2) \log (x \log (x^2)) \log (3 \log (x \log (x^2)))}{(-2 x-3 x^2) \log (x^2) \log (x \log (x^2))+2 x \log (x^2) \log (x \log (x^2)) \log (3 \log (x \log (x^2)))} \, dx\) [1024]
3.11.25
\(\int \genfrac {}{}{}{}{-1875-1496 x-450 x^2-48 x^3-3 x^4+(500 x+300 x^2+60 x^3+4 x^4) \log (\genfrac {}{}{}{}{25}{x^3})}{4 x} \, dx\) [1025]
3.11.26
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{16+128 x^2+16 e^8 x^2+64 x^4+e^4 (-32 x-64 x^3)+(-48 x^2-8 e^8 x^2-32 x^4+e^4 (8 x+32 x^3)) \log (3)+(4 x^2+e^8 x^2-4 e^4 x^3+4 x^4) \log ^2(3)}{16 x^2-8 x^2 \log (3)+x^2 \log ^2(3)}} (32 x^2-16 x^2 \log (3)+2 x^2 \log ^2(3))+e^{\genfrac {}{}{}{}{2 (16+128 x^2+16 e^8 x^2+64 x^4+e^4 (-32 x-64 x^3)+(-48 x^2-8 e^8 x^2-32 x^4+e^4 (8 x+32 x^3)) \log (3)+(4 x^2+e^8 x^2-4 e^4 x^3+4 x^4) \log ^2(3))}{16 x^2-8 x^2 \log (3)+x^2 \log ^2(3)}} (-64+256 x^4+e^4 (64 x-128 x^3)+(-128 x^4+e^4 (-16 x+64 x^3)) \log (3)+(-8 e^4 x^3+16 x^4) \log ^2(3))+(32 x^2-16 x^2 \log (3)+2 x^2 \log ^2(3)+e^{\genfrac {}{}{}{}{16+128 x^2+16 e^8 x^2+64 x^4+e^4 (-32 x-64 x^3)+(-48 x^2-8 e^8 x^2-32 x^4+e^4 (8 x+32 x^3)) \log (3)+(4 x^2+e^8 x^2-4 e^4 x^3+4 x^4) \log ^2(3)}{16 x^2-8 x^2 \log (3)+x^2 \log ^2(3)}} (-64+256 x^4+e^4 (64 x-128 x^3)+(-128 x^4+e^4 (-16 x+64 x^3)) \log (3)+(-8 e^4 x^3+16 x^4) \log ^2(3))) \log (x)}{144 x^3-72 x^3 \log (3)+9 x^3 \log ^2(3)} \, dx\) [1026]
3.11.27
\(\int \genfrac {}{}{}{}{-4 x^3-(2 x^2-2 x^4) \log (\genfrac {}{}{}{}{4}{3})+2 \log (\genfrac {}{}{}{}{4}{3}) \log (x)-2 \log (\genfrac {}{}{}{}{4}{3}) \log ^2(x)}{x^3} \, dx\) [1027]
3.11.28
\(\int \genfrac {}{}{}{}{-6 x^3+4 x^3 \log (x^3)}{9 \log ^3(x^3)} \, dx\) [1028]
3.11.29
\(\int \genfrac {}{}{}{}{-5+4 e^{-2 x} (-1+2 x)}{\log (15)} \, dx\) [1029]
3.11.30
\(\int \genfrac {}{}{}{}{-8 x^2-6 x^3+e (2 x+6 x^2)+e^{x^2} (6 e x^2-6 x^3)+(-2 x^2+2 e x^2-2 x^3+e^{x^2} (2 e x^2-2 x^3)) \log (x)+(-8 x-6 x^2+e (2+6 x)+(-2 x+2 e x-2 x^2) \log (x)) \log (-3 e+3 x+(-e+x) \log (x))}{3 e x-3 x^2+(e x-x^2) \log (x)} \, dx\) [1030]
3.11.31
\(\int \genfrac {}{}{}{}{e^{e^{e^{\genfrac {}{}{}{}{2+x^2-x^3+(-x+x^2) \log (4 x)}{-x+x^2}} x}+e^{\genfrac {}{}{}{}{2+x^2-x^3+(-x+x^2) \log (4 x)}{-x+x^2}} x+\genfrac {}{}{}{}{2+x^2-x^3+(-x+x^2) \log (4 x)}{-x+x^2}} (2-2 x-5 x^2+4 x^3-x^4+e^5 (2-2 x-5 x^2+4 x^3-x^4))}{4 x-8 x^2+4 x^3} \, dx\) [1031]
3.11.32
\(\int e^{4 x+x^2} (4+2 x) \, dx\) [1032]
3.11.33
\(\int \genfrac {}{}{}{}{6+2 x-47 x^2+93 x^3-56 x^4+13 x^5-x^6+e^x (-9 x^2+6 x^3-x^4)}{6 x-2 x^2+45 x^3-39 x^4+11 x^5-x^6+e^x (9 x^3-6 x^4+x^5)} \, dx\) [1033]
3.11.34
\(\int \genfrac {}{}{}{}{9+4 e^3+e^{2 e}+e^e (6+4 e^3-2 x)-6 x+x^2+(6+4 e^3+2 e^e-2 x) \log (x^2)+\log ^2(x^2)}{9+e^{2 e}+e^e (6-2 x)-6 x+x^2+(6+2 e^e-2 x) \log (x^2)+\log ^2(x^2)} \, dx\) [1034]
3.11.35
\(\int \genfrac {}{}{}{}{e^{2 e^4} x^2-10 e^{3 e^4} x^2+25 e^{4 e^4} x^2-2 x \log (36)+10 e^{e^4} x \log (36)}{e^{4 e^4} x^2-10 e^{5 e^4} x^2+25 e^{6 e^4} x^2-2 e^{2 e^4} x \log (36)+10 e^{3 e^4} x \log (36)+\log ^2(36)} \, dx\) [1035]
3.11.36
\(\int \genfrac {}{}{}{}{-12+10 e^{16}+10 x^2}{(-6 x+5 e^{16} x-5 x^3) \log ^2(\genfrac {}{}{}{}{6-5 e^{16}+5 x^2}{5 x})} \, dx\) [1036]
3.11.37
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{2-x}{x}} (16-8 x)+e^{\genfrac {}{}{}{}{2 (2-x)}{x}} (-4+x)+29 x+10 x^2+3 x^3}{x} \, dx\) [1037]
3.11.38
\(\int \genfrac {}{}{}{}{-14 x+84 x^3+14 x^4+(1-12 x^2-2 x^3) \log (3)+(7 x-\log (3)) \log (-7 x+\log (3))}{-7 x^3+x^2 \log (3)} \, dx\) [1038]
3.11.39
\(\int \genfrac {}{}{}{}{-2 \log ^2(x)+\genfrac {}{}{}{}{e^x (-2+x \log (x))}{\log ^2(x)}}{x \log (x)} \, dx\) [1039]
3.11.40
\(\int \genfrac {}{}{}{}{720+720 x+364 x^2-588 x^3-48 x^4-52 x^5+24 x^6+16 x^7-4 x^8+(1200 x+1512 x^2-732 x^3+368 x^4+60 x^5-40 x^6-40 x^7+8 x^8) \log (x)}{3600 x-2400 x^2+40 x^3-480 x^4+89 x^5+190 x^6-9 x^7+4 x^8-9 x^9-2 x^{10}+x^{11}} \, dx\) [1040]
3.11.41
\(\int \genfrac {}{}{}{}{3+9 x-3 x \log (x^3)}{x \log ^2(x^3)} \, dx\) [1041]
3.11.42
\(\int \genfrac {}{}{}{}{217500+1064450 x+1250 e^{16} x+95700 x^2+1936 x^3+e^8 (-7500-72500 x-3300 x^2)}{5625} \, dx\) [1042]
3.11.43
\(\int \genfrac {}{}{}{}{4 e x+e (160 x-40 x^2) \log (4)+e (-16+4 x) \log (4-x)+e^{\genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{x}{e}}}{4}} (4 e+e (80-20 x) \log (4)+e^{\genfrac {}{}{}{}{x}{e}} (20 x-5 x^2) \log (4)+e^{\genfrac {}{}{}{}{x}{e}} (-4+x) \log (4-x))}{e (-16+4 x)} \, dx\) [1043]
3.11.44
\(\int \genfrac {}{}{}{}{x+(-8-4 x+8 x^2+4 x^3) \log ^2(\genfrac {}{}{}{}{1+x}{x})}{(x^2+x^3) \log ^2(\genfrac {}{}{}{}{1+x}{x})} \, dx\) [1044]
3.11.45
\(\int \genfrac {}{}{}{}{4+52 x+52 x^2-36 x^3-40 x^4+(20+60 x+60 x^2+20 x^3) \log (3)+(-4+24 x-12 x^2+120 x^3+(-20-80 x-60 x^2) \log (3)) \log (1-20 x+100 x^2+(10-100 x) \log (3)+25 \log ^2(3))+(8 x-80 x^2+40 x \log (3)) \log ^2(1-20 x+100 x^2+(10-100 x) \log (3)+25 \log ^2(3))}{1-10 x+5 \log (3)} \, dx\) [1045]
3.11.46
\(\int \genfrac {}{}{}{}{1}{25} e^{\genfrac {}{}{}{}{1}{50} (25+6 x+6 x^2+e^5 (6 x+6 x^2))} (3+6 x+e^5 (3+6 x)) \, dx\) [1046]
3.11.47
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{-1-x^2+e (x+x^3)+e^4 (-x^2-x^4)}{2 x}} (1-x^2+2 e x^3+e^4 (-x^2-3 x^4))}{2 x^2} \, dx\) [1047]
3.11.48
\(\int \genfrac {}{}{}{}{-270 x^2+54 x^4+e^x (-108 x^3+54 x^4)}{25-30 x^2+9 e^{2 x} x^2-60 x^3+9 x^4+36 x^5+36 x^6+e^x (30 x-18 x^3-36 x^4)} \, dx\) [1048]
3.11.49
\(\int \genfrac {}{}{}{}{-18+x \log (3)-2 \log (x)}{x} \, dx\) [1049]
3.11.50
\(\int \genfrac {}{}{}{}{2 x+2 x^2+(2+2 x) \log (-\genfrac {}{}{}{}{x}{5 e^5})}{x} \, dx\) [1050]
3.11.51
\(\int \genfrac {}{}{}{}{120 x-40 x^2+(-960+440 x) \log (x)-640 \log ^2(x)}{x^3 \log ^2(5) \log ^2(x)-8 x^2 \log ^2(5) \log ^3(x)+16 x \log ^2(5) \log ^4(x)} \, dx\) [1051]
3.11.52
\(\int (2 x+e^{e^{20}+x^4-4 x^5+6 x^6-4 x^7+x^8+e^{15} (4 x-4 x^2)+e^{10} (6 x^2-12 x^3+6 x^4)+e^5 (4 x^3-12 x^4+12 x^5-4 x^6)} (2+16 x^3-72 x^4+104 x^5-40 x^6-24 x^7+16 x^8+e^{15} (16-24 x-16 x^2)+e^{10} (48 x-120 x^2+24 x^3+48 x^4)+e^5 (48 x^2-168 x^3+144 x^4+24 x^5-48 x^6))+\log (4)) \, dx\) [1052]
3.11.53
\(\int \genfrac {}{}{}{}{108+492 x+540 x^2+108 x^3+3^{-5+x} e^{3^{-5+x} (1+3 x)^{5-x}} (1+3 x)^{5-x} (15-3 x+(-1-3 x) \log (\genfrac {}{}{}{}{1}{3} (1+3 x)))}{1+3 x} \, dx\) [1053]
3.11.54
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{x^2}{-3-x^2+4 x^3}} (6 x^2+4 x^5+e^{-\genfrac {}{}{}{}{x^2}{-3-x^2+4 x^3}} (-9-6 x^2+24 x^3-x^4+8 x^5-16 x^6))}{9 x+6 x^3-24 x^4+x^5-8 x^6+16 x^7} \, dx\) [1054]
3.11.55
\(\int \genfrac {}{}{}{}{-512 x+384 x^2+184 x^3+16 x^4+(512-384 x-248 x^2-24 x^3) \log (2 x)+(64 x+8 x^2) \log ^2(2 x)}{9 x} \, dx\) [1055]
3.11.56
\(\int \genfrac {}{}{}{}{1}{3} e^{-2 x} (-2 e^{-5+e^{\genfrac {}{}{}{}{e^{-2 x}}{3}}+\genfrac {}{}{}{}{e^{-2 x}}{3}}+3 e^{25-8 x+x^2} (10-2 x)) \, dx\) [1056]
3.11.57
\(\int \genfrac {}{}{}{}{-8+x}{x} \, dx\) [1057]
3.11.58
\(\int \genfrac {}{}{}{}{12-40 x+58 x^2-24 x^3+e^4 (-30+120 x-120 x^2)}{e^4 (3-12 x+12 x^2)} \, dx\) [1058]
3.11.59
\(\int \genfrac {}{}{}{}{2+(2 x+6 x^2) \log (x)}{x \log (x)} \, dx\) [1059]
3.11.60
\(\int \genfrac {}{}{}{}{44-16 x+8 x^2+(-8+8 x) \log (4)+2 \log ^2(4)+e^x (-4-6 x-12 x^2+4 x^3+(-5-8 x+4 x^2) \log (4)+(-1+x) \log ^2(4))}{81+36 x-32 x^2-8 x^3+4 x^4+(-18 x-4 x^2+4 x^3) \log (4)+x^2 \log ^2(4)} \, dx\) [1060]
3.11.61
\(\int \genfrac {}{}{}{}{384 x+128 e^{32} x+256 x^2}{9+e^{64}+24 x+16 x^2+e^{32} (6+8 x)} \, dx\) [1061]
3.11.62
\(\int \genfrac {}{}{}{}{-45+182 x+3 x^2-10 x^3+(-32+8 x) \log (2)}{-45 x+31 x^2+3 x^3-x^4+(9-8 x+x^2) \log (2)} \, dx\) [1062]
3.11.63
\(\int \genfrac {}{}{}{}{24 x^3+e^{\genfrac {}{}{}{}{-1296+576 x-9496 x^2+2256 x^3-19881 x^4}{144 x^2}} (432-96 x+376 x^3-6627 x^4)}{24 x^3} \, dx\) [1063]
3.11.64
\(\int \genfrac {}{}{}{}{18-4 e^3+e^{x+x^2} (-1+x+2 x^2)}{4 x^2} \, dx\) [1064]
3.11.65
\(\int \genfrac {}{}{}{}{-e^{2 x}+3 x-3 x^2-3 e^x \log (4)+(e (3-6 x)-3 x+6 x^2+e^{2 x} (-2 e+2 x)+e^x (-3 e+3 x) \log (4)) \log (e-x)}{e^{4 x} (e-x)-9 x^3+18 x^4-9 x^5+e (9 x^2-18 x^3+9 x^4)+e^{3 x} (6 e-6 x) \log (4)+e^x (18 x^2-18 x^3+e (-18 x+18 x^2)) \log (4)+e^{2 x} (6 x^2-6 x^3+e (-6 x+6 x^2)+(9 e-9 x) \log ^2(4))} \, dx\) [1065]
3.11.66
\(\int \genfrac {}{}{}{}{15+8 e^{\genfrac {}{}{}{}{15-8 \log (x)}{4 \log (x)}} x^2 \log ^2(x)}{4 x \log ^2(x)+4 e^{\genfrac {}{}{}{}{15-8 \log (x)}{4 \log (x)}} x^3 \log ^2(x)} \, dx\) [1066]
3.11.67
\(\int \genfrac {}{}{}{}{-36 \log ^2(4)-72 x^2 \log (4) \log ^2(\log (2))+108 x^4 \log ^4(\log (2))}{x^2 \log ^4(\log (2))} \, dx\) [1067]
3.11.68
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{-1+2 e^x}{-2 x+2 (i \pi +\log (4-\log (2)))}} (-1+e^x (2-2 x)+2 e^x (i \pi +\log (4-\log (2))))}{2 x^2-4 x (i \pi +\log (4-\log (2)))+2 (i \pi +\log (4-\log (2)))^2} \, dx\) [1068]
3.11.69
\(\int \genfrac {}{}{}{}{-40 x-4 x^3+e (-8+14 x+2 x^2)+e^{x^2} (8-14 x-58 x^2+28 x^3)+(-12 x^2+e (-20+20 x-2 x^2)+e^{x^2} (20-20 x-38 x^2+28 x^3-4 x^4)) \log (x)}{4 x^2-4 x^3+x^4} \, dx\) [1069]
3.11.70
\(\int \genfrac {}{}{}{}{-8 e^x+8 x+4 x^2-2 x^3+x^4+(-4 x^2+x^4+e^x (4-x^2)) \log (\genfrac {}{}{}{}{4-x^2}{x})}{4 x^2-x^4+e^x (-4+x^2)} \, dx\) [1070]
3.11.71
\(\int \genfrac {}{}{}{}{-18+e^{x^2} (10 x^4-3 x^5+10 x^6-2 x^7+e^x (-5 x^3-3 x^4-9 x^5+2 x^6))}{3 x^3} \, dx\) [1071]
3.11.72
\(\int \genfrac {}{}{}{}{1}{16} (192 x^3+80 x^4+576 x^5+224 x^6+576 x^7+216 x^8+240 x^9+88 x^{10}+36 x^{11}+13 x^{12}) \log ^2(2) \, dx\) [1072]
3.11.73
\(\int \genfrac {}{}{}{}{3540+240 x-60 x^2}{3600+3480 x+1081 x^2+116 x^3+4 x^4} \, dx\) [1073]
3.11.74
\(\int (18 x+e^{25} (288 x+432 x^2+48 x^3-120 x^4-36 x^5+e^{10} (-48 x-72 x^2-24 x^3)+e^5 (-144 x^2-192 x^3-60 x^4))+e^{50} (1152 x+3456 x^2+2688 x^3-480 x^4-1416 x^5-448 x^6+96 x^7+72 x^8+10 x^9+e^{20} (32 x+96 x^2+96 x^3+40 x^4+6 x^5)+e^{15} (192 x^2+512 x^3+480 x^4+192 x^5+28 x^6)+e^{10} (-384 x-1152 x^2-768 x^3+480 x^4+792 x^5+336 x^6+48 x^7)+e^5 (-1152 x^2-3072 x^3-2560 x^4-384 x^5+504 x^6+256 x^7+36 x^8))) \, dx\) [1074]
3.11.75
\(\int \genfrac {}{}{}{}{18-2 x-30 e^x x+(-18+4 x+e^x (60 x+30 x^2)) \log (x)}{3 \log ^2(x)} \, dx\) [1075]
3.11.76
\(\int \genfrac {}{}{}{}{e^{-2 x+e^{-2 x} (x^5+2 x^4 \log (5)+x^3 \log ^2(5)+e^x (-2 x^3-2 x^2 \log (5)) \log (x)+e^{2 x} x \log ^2(x)+(e^x (-2 x^3-2 x^2 \log (5))+2 e^{2 x} x \log (x)) \log (-\genfrac {}{}{}{}{\log (x)}{-2+x})+e^{2 x} x \log ^2(-\genfrac {}{}{}{}{\log (x)}{-2+x}))} (e^x (4 x^2-2 x^3+(4 x-2 x^2) \log (5))+(-10 x^4+9 x^5-2 x^6+e^{2 x} (-4+2 x)+(-16 x^3+16 x^4-4 x^5) \log (5)+(-6 x^2+7 x^3-2 x^4) \log ^2(5)+e^x (4 x^2+4 x \log (5))) \log (x)+(-4 e^{2 x}+e^x (12 x^2-10 x^3+2 x^4+(8 x-8 x^2+2 x^3) \log (5))) \log ^2(x)+e^{2 x} (-2+x) \log ^3(x)+(e^{2 x} (-4+2 x)+(-4 e^{2 x}+e^x (12 x^2-10 x^3+2 x^4+(8 x-8 x^2+2 x^3) \log (5))) \log (x)+e^{2 x} (-4+2 x) \log ^2(x)) \log (-\genfrac {}{}{}{}{\log (x)}{-2+x})+e^{2 x} (-2+x) \log (x) \log ^2(-\genfrac {}{}{}{}{\log (x)}{-2+x}))}{(-2+x) \log (x)} \, dx\) [1076]
3.11.77
\(\int \genfrac {}{}{}{}{-4 e^x x \log (5)+(2-20 x-2 x^2) \log (5)+(-2 x^2 \log (5)-4 e^x x^2 \log (5)) \log (x)}{x^2} \, dx\) [1077]
3.11.78
\(\int \genfrac {}{}{}{}{-8+e^x (-2-2 x)-4 x+e^{6 x-x^2-x^3+e^x (-6+x+x^2)} (-2-12 x+4 x^2+6 x^3+e^x (10 x-6 x^2-2 x^3))}{16 x^2+e^{2 x} x^2+e^{12 x-2 x^2-2 x^3+2 e^x (-6+x+x^2)} x^2+8 x^3+x^4+e^x (8 x^2+2 x^3)+e^{6 x-x^2-x^3+e^x (-6+x+x^2)} (8 x^2+2 e^x x^2+2 x^3)} \, dx\) [1078]
3.11.79
\(\int -\genfrac {}{}{}{}{3 e^{\genfrac {}{}{}{}{-9 x-\log (2)+3 \log (5)}{-3 x+\log (5)}} \log (2)}{9 x^2-6 x \log (5)+\log ^2(5)} \, dx\) [1079]
3.11.80
\(\int \genfrac {}{}{}{}{-16 e^{\genfrac {}{}{}{}{1+x}{x}} x+e^{x+\genfrac {}{}{}{}{1+x}{x}} (4 x+4 x^2)+(16 e^{\genfrac {}{}{}{}{1+x}{x}}-4 e^{x+\genfrac {}{}{}{}{1+x}{x}}) \log (-4 x+e^x x)}{-4 x^2+e^x x^2} \, dx\) [1080]
3.11.81
\(\int \genfrac {}{}{}{}{5+e^{4-x} (-1+x)-5 x^2+(-1+x) \log (-1+x)+(e^{4-x} (-1+x)+x+(-1+x^2) \log (-1+x)) \log (x)}{5 x-5 x^2+(e^{4-x} (-x+x^2)+(-x+x^2) \log (-1+x)) \log (x)} \, dx\) [1081]
3.11.82
\(\int \genfrac {}{}{}{}{48+720 x+108 x^2+42 x^3+6 x^4+(72+744 x+90 x^2+18 x^3) \log (x)+(36+54 x+18 x^2) \log ^2(x)+(6+6 x) \log ^3(x)}{8+12 x+6 x^2+x^3+(12+12 x+3 x^2) \log (x)+(6+3 x) \log ^2(x)+\log ^3(x)} \, dx\) [1082]
3.11.83
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{1}{48} (48 x+(288+20 x+5 \log (5)) \log (x))} (288+68 x+5 \log (5)+20 x \log (x))}{48 x} \, dx\) [1083]
3.11.84
\(\int \genfrac {}{}{}{}{-180000+30000 x-x^3+180000 \log (5)+(-45000-7500 x) \log ^2(5)}{x^3} \, dx\) [1084]
3.11.85
\(\int \genfrac {}{}{}{}{-2-x+e^5 (-1024 x^5+2048 x^6-320 x^7-608 x^8-96 x^9)}{e^5 (256 x^2+128 x^3+16 x^4)} \, dx\) [1085]
3.11.86
\(\int (1+e^{-5-4 x+e^5 (20 x-5 x^2)} (4+e^5 (-20+10 x))) \, dx\) [1086]
3.11.87
\(\int \genfrac {}{}{}{}{5+e^{-2+x}-2 x}{3+e^{-2+x}+5 x-x^2+2 \log ^2(5)-\log ^4(5)} \, dx\) [1087]
3.11.88
\(\int \genfrac {}{}{}{}{-7+6 x+6 x^2-6 x^3+x^4+(6 x+28 x^2-4 x^3-2 x^4) \log (\genfrac {}{}{}{}{2+10 x+2 x^2}{x})}{(x+5 x^2+x^3) \log ^2(\genfrac {}{}{}{}{2+10 x+2 x^2}{x})} \, dx\) [1088]
3.11.89
\(\int \genfrac {}{}{}{}{-7 x+e^x x (4+4 x)}{3 x} \, dx\) [1089]
3.11.90
\(\int \genfrac {}{}{}{}{1}{25} (25+12 e^{2 x}-12 e^{4 x}-50 x) \, dx\) [1090]
3.11.91
\(\int \genfrac {}{}{}{}{30 x+e^5 (-1-6 x-12 x^2)}{e^5 x} \, dx\) [1091]
3.11.92
\(\int \genfrac {}{}{}{}{-25+25 x+50 x^2-2 x^3-2 x^4+(4 x^2-6 x^3-8 x^4) \log (x)+4 x^2 \log ^2(x)}{5 x} \, dx\) [1092]
3.11.93
\(\int \genfrac {}{}{}{}{1}{5} (-2 x+30 x^2+e^x (-10 x-5 x^2)+e^{e^x x^2} (-1+20 x+e^{2 x} (-10 x^2-5 x^3)+e^x (-5-5 x-2 x^2+19 x^3+10 x^4))) \, dx\) [1093]
3.11.94
\(\int \genfrac {}{}{}{}{40 x-4 x^2-4 x^3+e^{e^x} (4 x^2-4 e^x x^3)+4 x^2 \log (-e^x)}{25-10 x+x^2+e^{2 e^x} x^2+e^{e^x} (10 x-2 x^2)+(10 x-2 x^2+2 e^{e^x} x^2) \log (-e^x)+x^2 \log ^2(-e^x)} \, dx\) [1094]
3.11.95
\(\int \genfrac {}{}{}{}{-6 x+3 x^2+(3-2 x) \log (3)}{2 e^5} \, dx\) [1095]
3.11.96
\(\int \genfrac {}{}{}{}{99-198 x+(132+66 x-66 x^2) \log ^2(-2-x+x^2)}{(-2-x+x^2) \log ^2(-2-x+x^2)} \, dx\) [1096]
3.11.97
\(\int \genfrac {}{}{}{}{e^{x^8} (-5 x^2-40 x^{10}+40 x^{11}+e^2 (5 x^2+40 x^{10})) \log ^2(x)+e^{\genfrac {}{}{}{}{x}{5 \log (x)}} (e^{x^8} x^2-e^{x^8} x^2 \log (x)+e^{x^8} (10 x+40 x^9) \log ^2(x))}{5 e^{\genfrac {}{}{}{}{2 x}{5 \log (x)}} \log ^2(x)+e^{\genfrac {}{}{}{}{x}{5 \log (x)}} (-10 x+10 e^2 x+10 x^2) \log ^2(x)+(5 x^2+5 e^4 x^2-10 x^3+5 x^4+e^2 (-10 x^2+10 x^3)) \log ^2(x)} \, dx\) [1097]
3.11.98
\(\int \genfrac {}{}{}{}{-1000-1000 x-250 x^2+(-80-40 x) \log ^3(x)+(-2000-1000 x) \log (2 x)-1000 \log ^2(2 x)}{(4 x+4 x^2+x^3) \log ^3(x)+(8 x+4 x^2) \log ^3(x) \log (2 x)+4 x \log ^3(x) \log ^2(2 x)} \, dx\) [1098]
3.11.99
\(\int \genfrac {}{}{}{}{e^{-2-x} (-1+x) \log (3)-2 x \log (3)}{e^{-4-2 x} x^2+2 e^{-2-x} x^3+x^4} \, dx\) [1099]
3.11.100
\(\int \genfrac {}{}{}{}{e^4 (72-72 x)}{169-312 x+300 x^2-144 x^3+36 x^4} \, dx\) [1100]
[
next
] [
prev
] [
prev-tail
] [
front
] [
up
]