3.42 Integrals 4101 to 4200

  3.42.1 \(\int \frac {-40 x-90 x^2-20 x^3+(60+220 x-50 x^2-10 x^3) \log (9-6 x+x^2)+(-93 x^2+31 x^3) \log ^2(9-6 x+x^2)}{(-3 x^2-11 x^3-8 x^4+4 x^5) \log ^2(9-6 x+x^2)} \, dx\)
  3.42.2 \(\int \frac {4+e^{e^{18-2 e^x-2 x}+4 x-x \log (3)} (16+e^{18-2 e^x-2 x} (-8-8 e^x)-4 \log (3))}{25+e^{2 e^{18-2 e^x-2 x}+8 x-2 x \log (3)}-10 x+x^2+e^{e^{18-2 e^x-2 x}+4 x-x \log (3)} (-10+2 x)} \, dx\)
  3.42.3 \(\int \frac {e^{-2 x} (1-2 x+(3-6 x^2) \log (4))}{3 \log (4)} \, dx\)
  3.42.4 \(\int \frac {1}{3} (253-3 e^x+96 x) \, dx\)
  3.42.5 \(\int (28+2 x) \, dx\)
  3.42.6 \(\int \frac {4095-2047 x+384 x^2-32 x^3+x^4+e^x (4095-2047 x+384 x^2-32 x^3+x^4)+(2047-2815 x+864 x^2-100 x^3+4 x^4+e^x (-2047+768 x-96 x^2+4 x^3)) \log (\frac {-1+e^x+x}{\log (3)})}{-1+e^x+x} \, dx\)
  3.42.7 \(\int \frac {-1+x+e^x x}{-e^x x-x^2+x \log (\frac {103}{5})+x \log (x)} \, dx\)
  3.42.8 \(\int \frac {e^4 (-207360-810 x)+e^9 (17694720+138240 x+270 x^2)}{81+e^4 (-14155776-110592 x-216 x^2)+e^{15} (-201326592-2359296 x-9216 x^2-12 x^3)+e^{20} (4294967296+67108864 x+393216 x^2+1024 x^3+x^4)+e^8 (618475290624+9663676416 x+56623104 x^2+147456 x^3+144 x^4)+e^3 (e^2 (-27648-108 x)+e^6 (2415919104+28311552 x+110592 x^2+144 x^3))+e^6 (e^4 (3538944+27648 x+54 x^2)+e^8 (-103079215104-1610612736 x-9437184 x^2-24576 x^3-24 x^4))} \, dx\)
  3.42.9 \(\int \frac {30 x^2-10 x^4+(30-10 x^2+9 x^5-6 x^7+x^9-60 x^6 \log (3)) \log (x)+(18 x^3-12 x^5+2 x^7-120 x^4 \log (3)) \log ^2(x)+(9 x-6 x^3+x^5-60 x^2 \log (3)) \log ^3(x)+((-30-50 x^2+40 x^4) \log (x)+20 x^2 \log ^2(x)) \log (\log (x))}{(9 x^5-6 x^7+x^9) \log (x)+(18 x^3-12 x^5+2 x^7) \log ^2(x)+(9 x-6 x^3+x^5) \log ^3(x)} \, dx\)
  3.42.10 \(\int \frac {-19200+3840 x+(-1-32 x) \log (1+64 x+1024 x^2)}{(-5-159 x+32 x^2) \log (1+64 x+1024 x^2)} \, dx\)
  3.42.11 \(\int \frac {e^2 (-200-300 x)+48 x-104 x^2+40 x^3+24 x^4-12 x^5+e (-80-200 x-160 x^2+120 x^3)+(160+128 x+100 e^2 x+192 x^2-112 x^3-16 x^4+4 x^5+e (400+560 x+80 x^2-40 x^3)) \log (x)+(-200-260 x-200 e x-80 x^2+40 x^3) \log ^2(x)+100 x \log ^3(x)}{25 e^2 x^3+4 x^5-4 x^6+x^7+e (20 x^4-10 x^5)+(50 e^2 x^2-12 x^4+2 x^5+2 x^6+e (-10 x^3-20 x^4)) \log (x)+(25 e^2 x-11 x^3+16 x^4+x^5+e (-80 x^2-10 x^3)) \log ^2(x)+(-50 e x+30 x^2+10 x^3) \log ^3(x)+25 x \log ^4(x)} \, dx\)
  3.42.12 \(\int \frac {-90+84 x-27 x^2+4 x^3+(-144+72 x-12 x^2) \log (12-6 x+x^2)}{-36 x+18 x^2-3 x^3+(108-54 x+9 x^2) \log (12-6 x+x^2)} \, dx\)
  3.42.13 \(\int \frac {e^{\frac {1}{4} (2-\log (4))} ((-9-x^2) \log (4)+e^{\frac {1}{4} (-2+\log (4))} (18 x+2 x^3+4 x \log (4)))}{(9+x^2) \log (4)} \, dx\)
  3.42.14 \(\int \frac {-2 x^4-2 x^4 \log (x)+(5 x^2+x^4+(5 x^2+x^4) \log (x)) \log (5+x^2)+(2 x^2+2 x^2 \log (x)+(-5-x^2+(-5-x^2) \log (x)) \log (5+x^2)) \log (1+\log (x))+(-5+9 x^2+2 x^4+(10 x^2+2 x^4) \log (x)) \log (5+x^2) \log (\frac {x}{2 \log (5+x^2)})}{(5 x+x^3+(5 x+x^3) \log (x)) \log (5+x^2)} \, dx\)
  3.42.15 \(\int -\frac {48828125}{7558272 e^{16} x^{11}} \, dx\)
  3.42.16 \(\int \frac {9 e+9 e^5+9 x^2}{e^2 (e+e^5-x) (-x-2 x^2-x^3+e (1+2 x+x^2)+e^5 (1+2 x+x^2))} \, dx\)
  3.42.17 \(\int \frac {e^x (64+16 x^4+x^8)+e^x (64+8 x^4) \log (x^2)+16 e^x \log ^2(x^2)+e^{\frac {5 x^3+x^4}{e^x (8+x^4)+4 e^x \log (x^2)}} (80 x^2-16 x^3-8 x^4-5 x^6-5 x^7-x^8+(60 x^2-4 x^3-4 x^4) \log (x^2))}{e^x (64+16 x^4+x^8)+e^x (64+8 x^4) \log (x^2)+16 e^x \log ^2(x^2)} \, dx\)
  3.42.18 \(\int \frac {94 x+4 x^3+28 x \log (x)+2 x \log ^2(x)+(126 x-4 x^3+32 x \log (x)+2 x \log ^2(x)) \log (\frac {63-2 x^2+16 \log (x)+\log ^2(x)}{x})}{(63-2 x^2+16 \log (x)+\log ^2(x)) \log ^3(\frac {63-2 x^2+16 \log (x)+\log ^2(x)}{x})} \, dx\)
  3.42.19 \(\int \frac {1}{-1+e^4+x} \, dx\)
  3.42.20 \(\int \frac {e^x (-3-3 x+x^2)}{36-24 x+4 x^2+e^x (-3 x+x^2)} \, dx\)
  3.42.21 \(\int \frac {-2 x \log (x)+2 \log (x) \log ^2(x^2)+((-x-x \log (x)) \log (x^2)+(2+2 \log (x)) \log ^2(x^2)) \log (\frac {-x+2 \log (x^2)}{5 x \log (x^2)})+(-5 x \log (x^2)+10 \log ^2(x^2)) \log ^2(\frac {-x+2 \log (x^2)}{5 x \log (x^2)})}{(-5 x \log (x^2)+10 \log ^2(x^2)) \log ^2(\frac {-x+2 \log (x^2)}{5 x \log (x^2)})} \, dx\)
  3.42.22 \(\int \frac {4-2 x^4+(-2+5 x^4) \log (x^2)+25 \log ^2(x^2)}{25 \log ^2(x^2)} \, dx\)
  3.42.23 \(\int \frac {8-2 x+24 x^2+2 x^3+e^x (4+3 x+x^2)}{128+96 x+24 x^2+2 x^3} \, dx\)
  3.42.24 \(\int -\frac {2250}{16 x^4-8 e x^4+e^2 x^4} \, dx\)
  3.42.25 \(\int e^{x^4+\log ^2(x)} x^3 (4+4 x^4+2 \log (x)) \, dx\)
  3.42.26 \(\int -\frac {e^{\frac {1}{3+\log ^2(3+\log (x))}} \log (3+\log (x))}{54 x+18 x \log (x)+(36 x+12 x \log (x)) \log ^2(3+\log (x))+(6 x+2 x \log (x)) \log ^4(3+\log (x))} \, dx\)
  3.42.27 \(\int \frac {2 x^2 \log ^2(x)+((96+2 x^2) \log (x)+(-96-2 x^2) \log ^2(x)) \log (\frac {1}{16} e^4 (48+x^2))}{48 x^3+x^5} \, dx\)
  3.42.28 \(\int \frac {-5+e^x (-3+x)+2 x}{-6+e^2 (3-x)+e^x (-3+x)-4 x+2 x^2+(-3+x) \log (3-x)} \, dx\)
  3.42.29 \(\int (-5+e^x (1+x)+(-5+e^x (1+3 x+x^2)) \log (x)) \, dx\)
  3.42.30 \(\int \frac {-253-2 x-625 x^2+(253+4 x+1875 x^2) \log (x)}{\log ^2(x)} \, dx\)
  3.42.31 \(\int \frac {-3-9 x-6 x^2+12 x^3+(-1-3 x-2 x^2+4 x^3) \log (4)+(6 x+12 x^2+(2 x+4 x^2) \log (4)) \log (x)+(-6 x+6 x^2+(-2 x+2 x^2) \log (4)+(6 x+2 x \log (4)) \log (x)) \log (-1+x+\log (x))}{-2 x+2 x^3+(2 x+2 x^2) \log (x)+(-x+x^2+x \log (x)) \log (-1+x+\log (x))} \, dx\)
  3.42.32 \(\int \frac {e^{\frac {100+80 x^2-60 x^3-4 x^4+e^{2 x} x^4-24 x^5+x^6+6 x^7+x^8+e^x (20 x^2+8 x^4-6 x^5-2 x^6)}{x^4}} (-400-160 x^2+60 x^3+x^4-24 x^5+2 e^{2 x} x^5+2 x^6+18 x^7+4 x^8+e^x (-40 x^2+20 x^3+2 x^5-10 x^6-2 x^7))}{x^4} \, dx\)
  3.42.33 \(\int \frac {-11 x+e^{\sqrt [4]{e}} (11 x+12 x^2)+(2 x+e^{\sqrt [4]{e}} (-2 x-2 x^2)) \log (x+e^{\sqrt [4]{e}} (-x-x^2))}{-25-5 x^2+e^{\sqrt [4]{e}} (25+25 x+5 x^2+5 x^3)+(10+x^2+e^{\sqrt [4]{e}} (-10-10 x-x^2-x^3)) \log (x+e^{\sqrt [4]{e}} (-x-x^2))+(-1+e^{\sqrt [4]{e}} (1+x)) \log ^2(x+e^{\sqrt [4]{e}} (-x-x^2))} \, dx\)
  3.42.34 \(\int \frac {e^{\frac {-15+3 x}{x+\log (x)}} (15 x^3+12 x^4+3 x^5+e^x (-15-12 x-x^3)+(-15 x^2-12 x^3-2 x^4) \log (15)+(9 x^4+e^x (-3 x-2 x^2)-7 x^3 \log (15)) \log (x)+(-e^x x+3 x^3-2 x^2 \log (15)) \log ^2(x))}{2 x^3+4 x^2 \log (x)+2 x \log ^2(x)} \, dx\)
  3.42.35 \(\int \frac {8+x-x^3-10 e^{10} x^{12}-x \log (x)}{x^3} \, dx\)
  3.42.36 \(\int (30 x \log (2)+16 x \log (2) \log (4)+2 x \log (2) \log ^2(4)) \, dx\)
  3.42.37 \(\int \frac {(810+385 x-10 x^2) \log (5)+(-810-395 x+5 x^2) \log (5) \log (\frac {1}{81} (81 x-x^2))+(81-x) \log (5) \log ^2(\frac {1}{81} (81 x-x^2))}{-4050 x^2-1975 x^3+25 x^4+(1620 x+790 x^2-10 x^3) \log (2+x) \log (\frac {1}{81} (81 x-x^2))+(-162-79 x+x^2) \log ^2(2+x) \log ^2(\frac {1}{81} (81 x-x^2))} \, dx\)
  3.42.38 \(\int \frac {e^{\frac {-5 e^{-1+x}-14 x-5 x^2+e^x (e^{-1+x}+3 x+x^2)+(5-e^x) \log (x^2)}{x}} (10+e^{-1+x} (5-5 x)-5 x^2+e^x (-2+4 x^2+x^3+e^{-1+x} (-1+2 x))+(-5+e^x (1-x)) \log (x^2))}{x^2} \, dx\)
  3.42.39 \(\int \frac {-15+10 e^x x^2}{3 x-3 x^2+2 e^x x^2} \, dx\)
  3.42.40 \(\int ((4-2 e^2) \log (x)+(8-e^2) \log ^2(x)+(6 \log (x)+3 \log ^2(x)) \log (9 x^2)) \, dx\)
  3.42.41 \(\int \frac {-2 x+e^{3 x+6 x^2+3 x^3} (1+3 x+12 x^2+9 x^3)}{e^{6 x+12 x^2+6 x^3} x^2-2 e^{3 x+6 x^2+3 x^3} x^3+x^4} \, dx\)
  3.42.42 \(\int (8+5 \log (4 x)) \, dx\)
  3.42.43 \(\int \frac {\log (3)}{x^2} \, dx\)
  3.42.44 \(\int \frac {25-260 x+130 x^2-15 x^3+e^4 (-5+40 x-10 x^2)+e^x (5+15 x-30 x^2+5 x^3)+(5 x-5 e^x x) \log (-\frac {4}{x})}{x} \, dx\)
  3.42.45 \(\int \frac {e^{\frac {1}{10} (-x+10 x^2)} (e^{2 x+\frac {1}{10} (x-10 x^2)} (-10+10 x+20 x^3+10 x^4+10 x^5)+e^{2 e^{\frac {1}{10} (-x+10 x^2)} x} (10 x^3-x^4+20 x^5)+e^{x+e^{\frac {1}{10} (-x+10 x^2)} x} (-10 x^2+x^3-30 x^4+x^5-20 x^6+e^{\frac {1}{10} (x-10 x^2)} (10 x-10 x^2-10 x^3-10 x^4)))}{5 x^3} \, dx\)
  3.42.46 \(\int \frac {-80 x^2+80 x^3-23 x^4+2 x^5+(50-20 x+2 x^2) \log (x)+(-25+10 x-x^2) \log ^2(x)}{-80 x^3+56 x^4-13 x^5+x^6+(25 x-10 x^2+x^3) \log ^2(x)} \, dx\)
  3.42.47 \(\int \frac {e^{\frac {-150-x^4}{5 x^2}} (300-2 x^4)}{5 x^3} \, dx\)
  3.42.48 \(\int \frac {5 \log (5)+(5+x) \log ^2(x)}{x \log ^2(x)} \, dx\)
  3.42.49 \(\int (-e^{3+e^5+x}+x^3) \, dx\)
  3.42.50 \(\int \frac {30 x^3-30 x^4+e^{e^x} (-9-5 x^2+e^x (9 x-9 x^2+5 x^3-5 x^4))+(-27 x^2-15 x^4) \log (\frac {1}{9} (45+25 x^2))}{9 x^2+5 x^4} \, dx\)
  3.42.51 \(\int 2 e^{1+e^{1+2 x}+2 x} \, dx\)
  3.42.52 \(\int \frac {4 x^2+e^{625 x^6} (2-7500 x^6)}{3 e^{1250 x^6}+12 x^4+12 x^3 \log (4)+3 x^2 \log ^2(4)+e^{625 x^6} (-12 x^2-6 x \log (4))} \, dx\)
  3.42.53 \(\int \frac {8+14 x^2+2 e^{2 x} x^2-12 x^3+2 x^4+e^x (-8+16 x^2-4 x^3)+(-18+12 x+7 x^2-6 x^3+x^4+e^{2 x} (-2+x^2)+e^x (-12+4 x+6 x^2-2 x^3)) \log (-2+x^2)}{-18+12 x+7 x^2-6 x^3+x^4+e^{2 x} (-2+x^2)+e^x (-12+4 x+6 x^2-2 x^3)} \, dx\)
  3.42.54 \(\int \frac {(200 x-80 x^2+8 x^3) \log (\frac {25}{x^2})+(400 x-160 x^2+16 x^3+(200 x-120 x^2+16 x^3) \log (\frac {25}{x^2})) \log (\frac {12}{x})}{\log ^3(\frac {25}{x^2}) \log ^3(\frac {12}{x})} \, dx\)
  3.42.55 \(\int \frac {10 x^2+10 x^2 \log (x)+(-8-10 x) \log ^2(x)+8 \log (x) \log (e^{.-\frac {2}{5}/x} x^2)+10 x \log ^2(e^{.-\frac {2}{5}/x} x^2)}{125 x^2} \, dx\)
  3.42.56 \(\int \frac {-26-10 x+13 x^2+5 x^3+e^4 (13 x+10 x^2)}{e^4 (13 x^2+5 x^3)} \, dx\)
  3.42.57 \(\int \frac {e^{\frac {-10-2 x+(-3 x-x^2) \log (5)}{(5+x) \log (5)}} (15+10 x+x^2)}{25+10 x+x^2} \, dx\)
  3.42.58 \(\int \frac {5}{12} e^{-3+\frac {5}{12} e^{e^{-3+x}}+e^{-3+x}+x} \, dx\)
  3.42.59 \(\int \frac {e^{-3-e^x+e^{\frac {-3-e^3 x}{e^3 x}}-x} (3 e^{\frac {-3-e^3 x}{e^3 x}}-e^3 x^2-e^{3+x} x^2)}{x^2} \, dx\)
  3.42.60 \(\int \frac {1}{2} (e^x (16+e^4 (6+x^4))+e^{4+x} (6+6 x+5 x^4+x^5) \log (x)) \, dx\)
  3.42.61 \(\int \frac {e^{-\frac {5 x^2}{5 e^{2 x}-6 e^x x}} (100 e^{3 x}-240 e^{2 x} x+120 x^3-120 x^4+e^x (-56 x^2+200 x^3))}{25 e^{3 x}-60 e^{2 x} x+36 e^x x^2} \, dx\)
  3.42.62 \(\int \frac {e^{3 x+9 e^{4+x} x} (2+6 x+3 x^2+e^{4+x} (18 x+27 x^2+9 x^3))}{4+4 x+x^2} \, dx\)
  3.42.63 \(\int \frac {-4 e^{10 x}-80 e^{8 x} x-640 e^{6 x} x^2-2560 e^{4 x} x^3-5120 e^{2 x} x^4-4096 x^5+e^{\frac {65536 x^2+25 e^{8 x} x^2+400 e^{6 x} x^3-40960 x^4+6400 x^6+e^{4 x} (-2560 x^2+2400 x^4)+e^{2 x} (-20480 x^3+6400 x^5)}{e^{8 x}+16 e^{6 x} x+96 e^{4 x} x^2+256 e^{2 x} x^3+256 x^4}} (-1572864 x^4+6144 x^6+153600 x^8+e^{10 x} (6 x+150 x^3)+e^{8 x} (120 x^2+3000 x^4)+e^{6 x} (-14400 x^3+30720 x^4+24000 x^5)+e^{4 x} (-119040 x^4+245760 x^5+96000 x^6)+e^{2 x} (393216 x^3-1572864 x^4-238080 x^5+491520 x^6+192000 x^7))}{3 e^{10 x}+60 e^{8 x} x+480 e^{6 x} x^2+1920 e^{4 x} x^3+3840 e^{2 x} x^4+3072 x^5} \, dx\)
  3.42.64 \(\int \frac {x^2+e^{\frac {-2-3 x+5 x^2+x^3}{x^2}} (-4-3 x-x^2-x^3)}{x^2} \, dx\)
  3.42.65 \(\int \frac {10 x^2-5 x^4+(40 x-40 x^3) \log (4+4 \log (5)+\log ^2(5))+(80-80 x^2) \log ^2(4+4 \log (5)+\log ^2(5))}{x^4+8 x^3 \log (4+4 \log (5)+\log ^2(5))+16 x^2 \log ^2(4+4 \log (5)+\log ^2(5))} \, dx\)
  3.42.66 \(\int \frac {-36+e^{x+x^2 \log (3 x)} (-16+16 x+16 x^2+32 x^2 \log (3 x))}{81+16 e^{2 x+2 x^2 \log (3 x)}+e^{x+x^2 \log (3 x)} (72-32 x)-72 x+16 x^2} \, dx\)
  3.42.67 \(\int \frac {x^3-10 x^4-15 x^5+e^{\frac {e^2}{x^4}} (-20 e^2+10 x^4)}{x^3} \, dx\)
  3.42.68 \(\int \frac {-i \pi -e^2 \log (3)-\log (4 e^2-4 \log (4))}{x^2} \, dx\)
  3.42.69 \(\int \frac {-1+e^{1250-1000 x+300 x^2-40 x^3+2 x^4} (2000-2200 x+840 x^2-136 x^3+8 x^4)}{-36+e^{1250-1000 x+300 x^2-40 x^3+2 x^4} (24-12 x)+18 x+e^{2500-2000 x+600 x^2-80 x^3+4 x^4} (-4+2 x)+(-24+e^{1250-1000 x+300 x^2-40 x^3+2 x^4} (8-4 x)+12 x) \log (-2+x)+(-4+2 x) \log ^2(-2+x)} \, dx\)
  3.42.70 \(\int \frac {e^{e^{e^{\frac {1}{2} (-3 x+2 \log (-x+\log (3)))}}+e^{\frac {1}{2} (-3 x+2 \log (-x+\log (3)))}+\frac {1}{2} (-3 x+2 \log (-x+\log (3)))} (-2+3 x-3 \log (3))}{-2 x+2 \log (3)} \, dx\)
  3.42.71 \(\int \frac {e^{4 x \log (5) \log (e^{3 x}-x)} (-100 x \log (5)+300 e^{3 x} x \log (5)+(100 e^{3 x} \log (5)-100 x \log (5)) \log (e^{3 x}-x))}{e^{3 x}-x} \, dx\)
  3.42.72 \(\int \frac {(20+180 x) \log (x)+(10-90 x) \log ^2(x)}{1+27 x+243 x^2+729 x^3} \, dx\)
  3.42.73 \(\int \frac {-5+96 x \log ^3(\frac {16}{e x^3})}{x^2} \, dx\)
  3.42.74 \(\int \frac {-45+x^2+2 x^3+4 e^{10+2 x^2} x^3}{x^2} \, dx\)
  3.42.75 \(\int \frac {e^{\frac {-50 x-2 x^2}{-43-53 x-2 x^2+e^x (50 x+2 x^2)}} (2150+172 x+6 x^2+e^x (2500 x^2+200 x^3+4 x^4))}{1849+4558 x+2981 x^2+212 x^3+4 x^4+e^x (-4300 x-5472 x^2-412 x^3-8 x^4)+e^{2 x} (2500 x^2+200 x^3+4 x^4)} \, dx\)
  3.42.76 \(\int \frac {20-23 x^2+2 x^4+e^{12} (-8 x+2 x^3)}{-4 x+x^3} \, dx\)
  3.42.77 \(\int \frac {e^{-\frac {180 x^3}{(-1+x) \log (x)}} (-180 x^2+180 x^3+(540 x^2-360 x^3) \log (x))}{(1-2 x+x^2) \log ^2(x)} \, dx\)
  3.42.78 \(\int (-3+2 e^{3+2 e^{e^{3+x}}+e^{3+x}+x}+2 x+e^{e^{e^{3+x}}} (2+e^{3+e^{3+x}+x} (-4+2 x))) \, dx\)
  3.42.79 \(\int \frac {1}{-1-x} \, dx\)
  3.42.80 \(\int \frac {-x^2+e^x (-12+12 x)-2 \log (4)}{3 x^2} \, dx\)
  3.42.81 \(\int \frac {e^{2 e^{\frac {-5+10 x}{2 x}}} (-2 x-5 e^{\frac {-5+10 x}{2 x}} \log (4)+5 e^{\frac {-5+10 x}{2 x}} \log (\frac {x}{5}))+e^{e^{\frac {-5+10 x}{2 x}}} (-30 x \log (4)-75 e^{\frac {-5+10 x}{2 x}} \log ^2(4)+(30 x+150 e^{\frac {-5+10 x}{2 x}} \log (4)) \log (\frac {x}{5})-75 e^{\frac {-5+10 x}{2 x}} \log ^2(\frac {x}{5}))}{-x^2 \log ^3(4)+3 x^2 \log ^2(4) \log (\frac {x}{5})-3 x^2 \log (4) \log ^2(\frac {x}{5})+x^2 \log ^3(\frac {x}{5})} \, dx\)
  3.42.82 \(\int \frac {e^{256+x} (342 x+171 x^2-81 x^4+81 x^5)}{361+342 x^3+81 x^6} \, dx\)
  3.42.83 \(\int \frac {-20 x+2 x^2+(-10 x+x^2) \log (2)+(-81+18 x) \log (3)}{x^4} \, dx\)
  3.42.84 \(\int \frac {3+2 x^2-8 x^3+(-3+2 x^2) \log (x)+x^2 \log ^2(x)}{x^2} \, dx\)
  3.42.85 \(\int \frac {-16 e^{2 e^2}-80 x^4+40 e^5 x^4-5 e^{10} x^4+5 x^5}{5 x^5} \, dx\)
  3.42.86 \(\int \frac {25-40 x+160 x^2-80 x^3+32 x^4+4 x^2 \log (5)}{25-320 x^2+80 x^3+1024 x^4-512 x^5+64 x^6+(-10 x+64 x^3-16 x^4) \log (5)+x^2 \log ^2(5)} \, dx\)
  3.42.87 \(\int \frac {36-12 x+x^2+(-36+x^2) \log (x)}{x^2} \, dx\)
  3.42.88 \(\int \frac {1200 x+240 e^x x+12 e^{2 x} x+e^{18 x} (e^{2 x} (-4+18 x)+e^x (-40+190 x))}{100 x^5+20 e^x x^5+e^{2 x} x^5} \, dx\)
  3.42.89 \(\int \frac {-9-486 x-6237 x^2+(-6-324 x) \log (2)}{9+462 x+5929 x^2+(12+308 x) \log (2)+4 \log ^2(2)} \, dx\)
  3.42.90 \(\int e^{\frac {1}{5} (-4+5 x^3+40 x^4+120 x^5+160 x^6+80 x^7-5 x \log (3))} (12 x^2+128 x^3+480 x^4+768 x^5+448 x^6-4 \log (3)) \, dx\)
  3.42.91 \(\int \frac {200 x+300 x^2+80 x^3+120 x^4+8 x^5+12 x^6+e^{\frac {10}{5+x^2}} (-50 x-20 x^3-2 x^5)+e^{\frac {5}{5+x^2}} (150 x-75 x^2+10 x^3-40 x^4+6 x^5-3 x^6)+e^x (-200 x-100 x^2-80 x^3-40 x^4-8 x^5-4 x^6+e^{\frac {5}{5+x^2}} (50 x+25 x^2+30 x^3+10 x^4+2 x^5+x^6))}{800+420 x^2+100 x^3+72 x^4+40 x^5+4 x^6+4 x^7+e^{\frac {10}{5+x^2}} (50-5 x^2-8 x^4-x^6)+e^{\frac {5}{5+x^2}} (-400-85 x^2-25 x^3+14 x^4-10 x^5+3 x^6-x^7)+e^x (-100 x^2-40 x^4-4 x^6+e^{\frac {5}{5+x^2}} (25 x^2+10 x^4+x^6))} \, dx\)
  3.42.92 \(\int \frac {60 x^3-20 x^4+144 x^5-48 x^6+4 x^7+(120 x^2-40 x^3+216 x^4-72 x^5+6 x^6) \log ^2(4)+(60 x-20 x^2+72 x^3-24 x^4+2 x^5) \log ^4(4)+e^{2 x} (72 x^3+48 x^4-22 x^5+2 x^6+(72 x^2+120 x^3-46 x^4+4 x^5) \log ^2(4)+(72 x^2-24 x^3+2 x^4) \log ^4(4))+e^x (60 x^2-20 x^3+216 x^4-18 x^6+2 x^7+(120 x-40 x^2+288 x^3+48 x^4-40 x^5+4 x^6) \log ^2(4)+(60-20 x+72 x^2+48 x^3-22 x^4+2 x^5) \log ^4(4))+(-60 x^2+20 x^3-216 x^4+72 x^5-6 x^6+(-120 x+40 x^2-288 x^3+96 x^4-8 x^5) \log ^2(4)+(-60+20 x-72 x^2+24 x^3-2 x^4) \log ^4(4)+e^x (-144 x^3-24 x^4+20 x^5-2 x^6+(-144 x^2-96 x^3+44 x^4-4 x^5) \log ^2(4)+(-72 x^2+24 x^3-2 x^4) \log ^4(4))) \log (2 e^{-\frac {5}{-6 x+x^2}})+(72 x^3-24 x^4+2 x^5+(72 x^2-24 x^3+2 x^4) \log ^2(4)) \log ^2(2 e^{-\frac {5}{-6 x+x^2}})}{36 x^2-12 x^3+x^4} \, dx\)
  3.42.93 \(\int \frac {1-3 x^3}{x} \, dx\)
  3.42.94 \(\int \frac {e^{x^2} (e^8 (2 x^4+2 x^6)+(e^{12} (4 x^3+8 x^5)+e^8 (8 x^4+8 x^6)) \log (4)+(12 e^{16} x^4+e^{12} (12 x^3+24 x^5)+e^8 (12 x^4+12 x^6)) \log ^2(4)+(24 e^{16} x^4+e^{20} (-4 x+8 x^3)+e^{12} (12 x^3+24 x^5)+e^8 (8 x^4+8 x^6)) \log ^3(4)+(12 e^{16} x^4+e^{24} (-2+2 x^2)+e^{20} (-4 x+8 x^3)+e^{12} (4 x^3+8 x^5)+e^8 (2 x^4+2 x^6)) \log ^4(4))}{x^3 \log ^4(4)} \, dx\)
  3.42.95 \(\int (e^x (-2-x)+2 e^{x^2} x+10 e^{-3+5 x^2} x) \, dx\)
  3.42.96 \(\int \frac {e^{-\frac {75}{x^2+x^5-x \log (2)}} (150 x+375 x^4-75 \log (2))}{x^4+x^{10}-2 x^3 \log (2)+x^2 \log ^2(2)+x^4 (2 x^3-2 x^2 \log (2))} \, dx\)
  3.42.97 \(\int e^{2 x} (14 x+11 x^2-2 x^3) \, dx\)
  3.42.98 \(\int \frac {e^{e^3-x} (5+x-e x-x \log (2)) (10+21 x+8 x^2+x^3+e (-x-3 x^2-x^3)+(-x-3 x^2-x^3) \log (2))}{(x^2+x^3) (-5 x-6 x^2-x^3+e (x^2+x^3)+(x^2+x^3) \log (2))} \, dx\)
  3.42.99 \(\int \frac {4 x+e^{x+\frac {2 (10+2 x^2)}{x}} x^2+e^x (4-4 x^2+x^4)+e^{\frac {10+2 x^2}{x}} (-10 x-x^2+2 x^3+e^x (-4 x+2 x^3))}{4-4 x^2+e^{\frac {2 (10+2 x^2)}{x}} x^2+x^4+e^{\frac {10+2 x^2}{x}} (-4 x+2 x^3)} \, dx\)
  3.42.100 \(\int \frac {2-12 x-2 x^2+e^{2 x} x^2-e^x x^2 \log (2)-16 \log (x^3)+2 \log ^2(x^3)}{2 x^2} \, dx\)