3.101 Integrals 10001 to 10100

  3.101.1 \(\int \frac {e^{\frac {e^{e^{x^2}-x-4 x^4}-x^4}{x}} (-3 x^4+e^{e^{x^2}-x-4 x^4} (-1-x+2 e^{x^2} x^2-16 x^4))}{x^2} \, dx\)
  3.101.2 \(\int \frac {-92-570 x-356 x^2+24 x^3+32 x^4+2 x^5+(8+52 x+44 x^2-4 x^3-4 x^4) \log (x)}{x+3 x^2+3 x^3+x^4} \, dx\)
  3.101.3 \(\int \frac {-10 3^{2/5}+6 \sqrt [5]{3} e^{x/5} x^3+1960 x^4+e^{x/5} (-840 x^4-84 x^5)+e^{2 x/5} (90 x^4+18 x^5)}{5 x^3} \, dx\)
  3.101.4 \(\int \frac {486 x+\log (2) (-238-\log (\frac {5}{2}))}{81 \log (2)} \, dx\)
  3.101.5 \(\int \frac {(90-45 x) \log (2-x)+(12800 x^5+1600 x^6+50 x^7) \log (\log (2-x))+(-64000 x^4+22400 x^5+4450 x^6+175 x^7) \log (2-x) \log ^2(\log (2-x))}{(-18+9 x) \log (2-x)} \, dx\)
  3.101.6 \(\int \frac {10 e^{-2-6 x+x^2}+e^{-4-12 x+2 x^2} (-59 x+20 x^2)+(-10+e^{-2-6 x+x^2} (58 x-20 x^2)) \log (\frac {3}{x})+x \log ^2(\frac {3}{x})+(2 e^{-2-6 x+x^2} x+e^{-4-12 x+2 x^2} (x-12 x^2+4 x^3)+(-2 x+e^{-2-6 x+x^2} (-2 x+12 x^2-4 x^3)) \log (\frac {3}{x})+x \log ^2(\frac {3}{x})) \log (x)}{x} \, dx\)
  3.101.7 \(\int \frac {2+4 \log (x)}{x \log (x)} \, dx\)
  3.101.8 \(\int \frac {-1-80 x^8}{10 x} \, dx\)
  3.101.9 \(\int \frac {1}{2} e^{-6-x} (10-e-2 x+x^2) \, dx\)
  3.101.10 \(\int \frac {18 x+(-2160+876 x-90 x^2) \log (\frac {24-5 x}{-5+x})+(1440-588 x+60 x^2) \log ^2(\frac {24-5 x}{-5+x})+(-240+98 x-10 x^2+120 x^3-49 x^4+5 x^5) \log ^3(\frac {24-5 x}{-5+x})}{(120 x^3-49 x^4+5 x^5) \log ^3(\frac {24-5 x}{-5+x})} \, dx\)
  3.101.11 \(\int \frac {e^x x-x^2+(e^x (-3+x)+3 x-x^2) \log (x)+(x^2-e^x x^2) \log (x) \log (-10 e^{3/x} x \log (x)) \log (\log (-10 e^{3/x} x \log (x)))}{(3 e^{2 x} x^2-6 e^x x^3+3 x^4) \log (x) \log (-10 e^{3/x} x \log (x))} \, dx\)
  3.101.12 \(\int \frac {16}{x^2} \, dx\)
  3.101.13 \(\int \frac {-5700-3020 x-400 x^2+(-76-40 x) \log (2 x)}{361 x^2+190 x^3+25 x^4} \, dx\)
  3.101.14 \(\int \frac {4-204 x+2697 x^2-2348 x^3-1974 x^4+1200 x^5+625 x^6+e^x (104-200 x-27 x^2+76 x^3-25 x^4)}{4-204 x+2697 x^2-2348 x^3-1974 x^4+1200 x^5+625 x^6} \, dx\)
  3.101.15 \(\int \frac {-2 x^6+(-8 x^3+2 e^{-4+x} x^4+4 x^6) \log (x)+(8 x^3+e^{-4+x} (-4 x^4-2 x^5)) \log ^2(x)+(-32+2 e^{-8+2 x} x^3+e^{-4+x} (8 x-8 x^2)) \log ^3(x)}{x^3 \log ^3(x)} \, dx\)
  3.101.16 \(\int \frac {2 e^4+6 x \log (9)}{e^4} \, dx\)
  3.101.17 \(\int \frac {e^4+2 x^2+20 e^{20 x} x^2}{x^2} \, dx\)
  3.101.18 \(\int \frac {(2+e^{15+6 x+x^2+(-6-2 x) \log (16 e^{-2 x})+\log ^2(16 e^{-2 x})} (36+12 x-12 \log (16 e^{-2 x}))) \log (e^{15+6 x+x^2+(-6-2 x) \log (16 e^{-2 x})+\log ^2(16 e^{-2 x})}+x)}{e^{15+6 x+x^2+(-6-2 x) \log (16 e^{-2 x})+\log ^2(16 e^{-2 x})}+x} \, dx\)
  3.101.19 \(\int \frac {-9+e^{2 x^2} (-4+16 e)-8 x-4 x^2+e^{x^2} (13+e (-72-32 x)+8 x-10 x^2)+e (81+72 x+16 x^2)}{81 x^2+16 e^{2 x^2} x^2+72 x^3+16 x^4+e^{x^2} (-72 x^2-32 x^3)} \, dx\)
  3.101.20 \(\int \frac {-5 x^2+2 x^3+(-4 x+2 x^2) \log (-2+x)}{-8 x^2+4 x^3+(-8 x+4 x^2) \log (-2+x)+(-2+x) \log ^2(-2+x)} \, dx\)
  3.101.21 \(\int \frac {-64 x+32 e^{2 x} x+(-64 x+e^{2 x} (32 x+64 x^2)) \log (x)+(-128 x+64 e^{2 x} x) \log (x) \log ((2 x-e^{2 x} x) \log (x))}{(-2+e^{2 x}) \log (x)} \, dx\)
  3.101.22 \(\int \frac {-16 x^4+8 x^4 \log (x)+(-8+2 x^4+(8-2 x^4) \log (x)) \log (-4+x^4)}{e (-4+x^4) \log ^2(-4+x^4)} \, dx\)
  3.101.23 \(\int \frac {-2 x^3+e^{\frac {e^x}{x}} (3 x-3 x^2+e^x (3-4 x+x^2))}{-9 x^3+3 x^4+e^{\frac {e^x}{x}} (-9 x^2+3 x^3)} \, dx\)
  3.101.24 \(\int \frac {e^{\frac {4+x+x^2}{x}} (32-4 x-7 x^2+x^3+(-8+2 x^2) \log (2))}{2 x^2} \, dx\)
  3.101.25 \(\int \frac {e^x x^2+e^5 (-1-x^2)+(e^x x+e^5 (1-4 x+e^3 x-x^2)) \log (\frac {-e^x x+e^5 (-1+4 x-e^3 x+x^2)}{x}) \log (\log (\frac {-e^x x+e^5 (-1+4 x-e^3 x+x^2)}{x}))}{(e^x x+e^5 (1-4 x+e^3 x-x^2)) \log (\frac {-e^x x+e^5 (-1+4 x-e^3 x+x^2)}{x})} \, dx\)
  3.101.26 \(\int \frac {1}{4} (20-e^{x/4}+e^{4 x} (4+16 x)+e^{3 x} (-144-432 x) \log (3)+1296 \log ^2(3)+26244 \log ^4(3)+e^{2 x} (16+32 x+(1944+3888 x) \log ^2(3))+e^x ((-288-288 x) \log (3)+(-11664-11664 x) \log ^3(3))) \, dx\)
  3.101.27 \(\int \frac {18 x-6 x^2+54 x^6+e^x (-12 x+2 x^2-x^3-36 x^6)+e^{2 x} (2 x+6 x^6)+(-18+e^x (12-12 x)+18 x+e^{2 x} (-2+2 x)) \log (x)}{9 x-6 e^x x+e^{2 x} x} \, dx\)
  3.101.28 \(\int \frac {-10+e^{2 x} (-40+80 x)+40 \log (3)}{1+16 e^{4 x}+e^{2 x} (8-32 \log (3))-8 \log (3)+16 \log ^2(3)} \, dx\)
  3.101.29 \(\int \frac {25+25 x+e^{1-x^6} (4+4 x-24 x^7)-24 e^{1-x^6} x^6 \log (x)}{4 x} \, dx\)
  3.101.30 \(\int \frac {1144 x^3+168 x^4-48 x^5-39754 x^6-29862 x^7-5292 x^8+504 x^9+144 x^{10}+(168 x-24 x^2-2288 x^3-18186 x^4-7794 x^5+216 x^7) \log (x)+(-336 x-2574 x^2-378 x^3+108 x^4) \log ^2(x)+(-126+18 x) \log ^3(x)}{3087 x^6+2646 x^7+756 x^8+72 x^9+(1323 x^4+756 x^5+108 x^6) \log (x)+(189 x^2+54 x^3) \log ^2(x)+9 \log ^3(x)} \, dx\)
  3.101.31 \(\int \frac {15200-12683 x+3758 x^2-471 x^3+21 x^4+(-190+73 x-7 x^2) \log (\frac {-38+7 x}{-5+x})}{190-73 x+7 x^2} \, dx\)
  3.101.32 \(\int \frac {-4 x^2+(-5+4 x) \log (3)}{-5 x^2+5 x \log (3)} \, dx\)
  3.101.33 \(\int \frac {e^{\frac {-1+e^x (-x-\log (2))+(4 x+4 \log (2)) \log (6 x)}{-e^x+4 \log (6 x)}} (16-4 e^x x+4 e^{2 x} x-32 e^x x \log (6 x)+64 x \log ^2(6 x))}{e^{2 x} x-8 e^x x \log (6 x)+16 x \log ^2(6 x)} \, dx\)
  3.101.34 \(\int \frac {e^{9 e^{\frac {2 (-4 x-x^2)}{6-3 x+3 \log (x)}}+\frac {2 (-4 x-x^2)}{6-3 x+3 \log (x)}} (-24-18 x+6 x^2+(-24-12 x) \log (x))}{4-4 x+x^2+(4-2 x) \log (x)+\log ^2(x)} \, dx\)
  3.101.35 \(\int e^{-2 x+e^{-2 x} (x^2+2 e^x x^3+e^{2 x} x^4+(-10 x^2-2 x^3+e^x (-10 x^3-2 x^4)) \log ^2(x)+(25 x^2+10 x^3+x^4) \log ^4(x))} (2 x-2 x^2+4 e^{2 x} x^3+e^x (6 x^2-2 x^3)+(-20 x-4 x^2+e^x (-20 x^2-4 x^3)) \log (x)+(-20 x+14 x^2+4 x^3+e^x (-30 x^2+2 x^3+2 x^4)) \log ^2(x)+(100 x+40 x^2+4 x^3) \log ^3(x)+(50 x-20 x^2-16 x^3-2 x^4) \log ^4(x)) \, dx\)
  3.101.36 \(\int \frac {-12 x^2+36 x \log ^2(2)+(-36-36 x) \log ^4(2)+(-24 x^2+(24 x+24 x^2) \log ^2(2)) \log (x)+(-4 x^2-4 x^3) \log ^2(x)}{9 x^3 \log ^4(2)-6 x^4 \log ^2(2) \log (x)+x^5 \log ^2(x)} \, dx\)
  3.101.37 \(\int \frac {9-24 x}{e^3 (9 x^2-24 x^3+16 x^4)} \, dx\)
  3.101.38 \(\int (1-4 x^3+4 x^2 \log (x)+6 x^2 \log ^2(x)-4 x \log ^3(x)-2 x \log ^4(x)) \, dx\)
  3.101.39 \(\int \frac {(-20+12 x+(4-2 x) \log (e^{8+x})) \log (\frac {1}{5} e^{-x} (-10 x^2+2 x^2 \log (e^{8+x})))}{-5 x+x \log (e^{8+x})} \, dx\)
  3.101.40 \(\int \frac {e^{\frac {81 x^2}{625-500 x+150 x^2-20 x^3+x^4+(50 x-20 x^2+2 x^3) \log (2+4 x)+x^2 \log ^2(2+4 x)}} (4050 x+8100 x^2-486 x^3-324 x^4)}{46875+37500 x-84375 x^2+48750 x^3-13875 x^4+2160 x^5-177 x^6+6 x^7+(5625 x+6750 x^2-7650 x^3+2520 x^4-351 x^5+18 x^6) \log (2+4 x)+(225 x^2+360 x^3-171 x^4+18 x^5) \log ^2(2+4 x)+(3 x^3+6 x^4) \log ^3(2+4 x)+e^{\frac {81 x^2}{625-500 x+150 x^2-20 x^3+x^4+(50 x-20 x^2+2 x^3) \log (2+4 x)+x^2 \log ^2(2+4 x)}} (15625+12500 x-28125 x^2+16250 x^3-4625 x^4+720 x^5-59 x^6+2 x^7+(1875 x+2250 x^2-2550 x^3+840 x^4-117 x^5+6 x^6) \log (2+4 x)+(75 x^2+120 x^3-57 x^4+6 x^5) \log ^2(2+4 x)+(x^3+2 x^4) \log ^3(2+4 x))} \, dx\)
  3.101.41 \(\int \frac {16-3 x-16 x^3+3 x^4+(-48+6 x+3 x^4) \log (x)}{5 x^4} \, dx\)
  3.101.42 \(\int \frac {\frac {6}{e^3}+(6+\frac {12 x}{e^3}) \log (x)+\frac {6 \log (x) \log (\log (x))}{e^3}}{2 \log (x)} \, dx\)
  3.101.43 \(\int \frac {-90-5 x+4 x^3+(-180+13 x+x^2) \log (\frac {5}{x})}{4 x^3+(18 x+x^2) \log (\frac {5}{x})} \, dx\)
  3.101.44 \(\int (2-4 x+4 e^2 x+6 x^2) \, dx\)
  3.101.45 \(\int \frac {-50 e^{25-50 x} x^2-2 \log (x)+\log ^2(x)}{x^2} \, dx\)
  3.101.46 \(\int \frac {1}{2} (-2-x \log (2)) \, dx\)
  3.101.47 \(\int \frac {1}{5} e^{\frac {1}{5} (-6 x+6 x^2+5 x^3)} (-6+12 x+15 x^2) \, dx\)
  3.101.48 \(\int ((45-15 x^2) \log (2)-15 x^2 \log (2) \log (x^3)) \, dx\)
  3.101.49 \(\int \frac {4+32 x+15 x^2-150 x^3-125 x^4}{1+6 x+27 x^2+68 x^3+135 x^4+150 x^5+125 x^6} \, dx\)
  3.101.50 \(\int \frac {-6-7 x+27 x^2-9 x^3+x^4-2 x \log (x^2)}{-81 x+72 x^2-9 x^3-5 x^4+x^5+(-3 x+x^2) \log (x^2)} \, dx\)
  3.101.51 \(\int \frac {1+\log (x)+(x-x^2-x^3-4 x^4-x^5) \log (x) \log (-x \log (x)) \log (\log (-x \log (x)))+x \log (x) \log (-x \log (x)) \log (\log (-x \log (x))) \log (\log (\log (-x \log (x))))}{(x^2-x^3-x^5) \log (x) \log (-x \log (x)) \log (\log (-x \log (x)))+x \log (x) \log (-x \log (x)) \log (\log (-x \log (x))) \log (\log (\log (-x \log (x))))} \, dx\)
  3.101.52 \(\int \frac {e^{-x} (e^x (4-36 x^2)+e^{4+2 x} (x^2+x^3))}{4 x^2} \, dx\)
  3.101.53 \(\int \frac {1}{2} (-4+4 x+(-1+x) \log (9)) \, dx\)
  3.101.54 \(\int \frac {-x^3+e x^2 (4 e^{\frac {2-4 x^2}{x^2}}+2 x^3)}{e x^5} \, dx\)
  3.101.55 \(\int (-4+\log (5)+e^{\sqrt {e} (-2+2 x)} (8 \sqrt {e}-2 \sqrt {e} \log (5))) \, dx\)
  3.101.56 \(\int \frac {677 x^2+x^3+e^{-1+x} (676-675 x-x^2)}{676 x^2+x^3} \, dx\)
  3.101.57 \(\int \frac {e^{\frac {e^{8 x} (-3+\log (2)+e^x \log (2))-\log (2) \log (5)}{-3+\log (2)+e^x \log (2)}} (e^{8 x} (72-48 \log (2)+8 \log ^2(2)+8 e^{2 x} \log ^2(2)+e^x (-48 \log (2)+16 \log ^2(2)))+e^x \log ^2(2) \log (5))}{9-6 \log (2)+\log ^2(2)+e^{2 x} \log ^2(2)+e^x (-6 \log (2)+2 \log ^2(2))} \, dx\)
  3.101.58 \(\int \frac {9 x^2+26 e^x x^2-6 x^3-6 x^4+e^{2 x} (-13+26 x)}{x^2} \, dx\)
  3.101.59 \(\int \frac {-3125+20625 x-49125 x^2+49775 x^3-19650 x^4+3300 x^5-200 x^6+e^{10} (-5+33 x-10 x^2)}{125 x^2-825 x^3+1965 x^4-1991 x^5+786 x^6-132 x^7+8 x^8} \, dx\)
  3.101.60 \(\int e^{\frac {1}{2} e^2 (8 x-x^2)} (3+e^2 (12 x-3 x^2)) \, dx\)
  3.101.61 \(\int \frac {e^{\frac {-2 e^{1+x}-4 x+e (8+16 x)}{x}} (-8 e+e^{1+x} (2-2 x))-x^2}{x^2} \, dx\)
  3.101.62 \(\int \frac {-6-369 x+149 x^2-15 x^3+(12+369 x-15 x^3) \log (x) \log (\log (x))}{x^3 \log (x)} \, dx\)
  3.101.63 \(\int \frac {1}{24} (25+24 e^x) \, dx\)
  3.101.64 \(\int \frac {e^{3-e^{625}-x} (-1+2 x+e^{-3+e^{625}+x} x^2+(-1-x) \log (\frac {e^{2 x}}{x}))}{x^2} \, dx\)
  3.101.65 \(\int \frac {-240 x \log ^2(x)+(480 e^3-480 x) \log (x) \log (-e^3+x)}{e^3 x-x^2} \, dx\)
  3.101.66 \(\int \frac {-17+e^x (6 x+4 x^2+e^5 (2+4 x)) \log (2)+e^x (2 x+2 e^5 x+2 x^2) \log (2) \log (x)}{3 x} \, dx\)
  3.101.67 \(\int (75 x^2+300 e^3 x^2+300 e^6 x^2+e^{4 x} (1+4 x)+(150 x^2+300 e^3 x^2) \log (4)+75 x^2 \log ^2(4)+e^{2 x} (-20 x-20 x^2+e^3 (-40 x-40 x^2)+(-20 x-20 x^2) \log (4))) \, dx\)
  3.101.68 \(\int (2+e^{-2 e^x+2 x} (2 e^2-2 e^{2+x})-2 x) \, dx\)
  3.101.69 \(\int \frac {300-60 x-25 x^2-3 x^3}{-300 x+12 x^2-25 x^3+x^4} \, dx\)
  3.101.70 \(\int \frac {6+x^2+2 x^3}{x^2} \, dx\)
  3.101.71 \(\int \frac {e^{1+\frac {e-6 x+6 x^2}{-2 x+2 x^2}} (1-2 x)-2 x+6 x^2-6 x^3+2 x^4}{2 x^2-4 x^3+2 x^4} \, dx\)
  3.101.72 \(\int \frac {-700+e^{\frac {1}{25} (-125+145 x-16 x^2+25 x \log (3 x))} (25-170 x+32 x^2-25 x \log (3 x))}{19600-1400 e^{\frac {1}{25} (-125+145 x-16 x^2+25 x \log (3 x))}+25 e^{\frac {2}{25} (-125+145 x-16 x^2+25 x \log (3 x))}} \, dx\)
  3.101.73 \(\int \frac {-x^2-x^3+x^4+x^5+(-2 x-2 x^2+2 x^3+2 x^4) \log (4)+(-1-x+x^2+x^3) \log ^2(4)+e^x (-2 x^2-4 x^3-2 x^4+(-4 x-8 x^2-4 x^3) \log (4)+(-2-4 x-2 x^2) \log ^2(4))+(2 x^2+6 x^3+4 x^4+(2 x+8 x^2+6 x^3) \log (4)+(2 x+2 x^2) \log ^2(4)+e^x (4 x^2+12 x^3+8 x^4+(4 x+16 x^2+12 x^3) \log (4)+(4 x+4 x^2) \log ^2(4))) \log (e^{-x} (x+2 e^x x))}{(x+2 e^x x) \log ^2(e^{-x} (x+2 e^x x))} \, dx\)
  3.101.74 \(\int \frac {16 (4-12 e^{16} x)^4}{81 e^{64} x^4 (-25 x+75 e^{16} x^2+\frac {(4-12 e^{16} x)^4 (10 x-30 e^{16} x^2)}{81 e^{64} x^4}+\frac {(4-12 e^{16} x)^8 (-x+3 e^{16} x^2)}{6561 e^{128} x^8})} \, dx\)
  3.101.75 \(\int \frac {2^{-1/x} (2^{\frac {1}{x}} e^{-5+x} (-x-x^2)+e^{-2+x} (x+x^2+\log (2)))}{x} \, dx\)
  3.101.76 \(\int \frac {e^{-4+\frac {25+115 x-49 x^2+5 x^3+(25-10 x+x^2) \log (x^2)}{e^4}} (100+190 x-192 x^2+30 x^3+(-20 x+4 x^2) \log (x^2))}{x} \, dx\)
  3.101.77 \(\int \frac {e^{-1-x} x (150 x-39 x^2-36 x^3-3 x^4+e (500-500 x-260 x^2-20 x^3))}{(25+12 x+x^2) (25 x+12 x^2+x^3)} \, dx\)
  3.101.78 \(\int \frac {-1+\log (3 x)}{x \log (3 x)} \, dx\)
  3.101.79 \(\int \frac {-16+136 x-248 x^2-96 x^3-256 x^4+(24-120 x+160 x^2-256 x^3) \log (x)+(-8 x+32 x^2+(-8+32 x) \log (x)) \log (x+\log (x))}{-1594323 x^4+2657205 x^5-1771470 x^6+590490 x^7-98415 x^8+6561 x^9+(-1594323 x^3+2657205 x^4-1771470 x^5+590490 x^6-98415 x^7+6561 x^8) \log (x)+(2657205 x^4-3542940 x^5+1771470 x^6-393660 x^7+32805 x^8+(2657205 x^3-3542940 x^4+1771470 x^5-393660 x^6+32805 x^7) \log (x)) \log (x+\log (x))+(-1771470 x^4+1771470 x^5-590490 x^6+65610 x^7+(-1771470 x^3+1771470 x^4-590490 x^5+65610 x^6) \log (x)) \log ^2(x+\log (x))+(590490 x^4-393660 x^5+65610 x^6+(590490 x^3-393660 x^4+65610 x^5) \log (x)) \log ^3(x+\log (x))+(-98415 x^4+32805 x^5+(-98415 x^3+32805 x^4) \log (x)) \log ^4(x+\log (x))+(6561 x^4+6561 x^3 \log (x)) \log ^5(x+\log (x))} \, dx\)
  3.101.80 \(\int \frac {-2+44 x+2 \log (x^2)}{-3 x+11 x^2+x \log (x^2)} \, dx\)
  3.101.81 \(\int \frac {e^x (1-2 x-4 x^2)+e^x (-4-5 x) \log (x)+(e^x (x^2+x^3)+e^x (x+x^2) \log (x)) \log (\frac {10 x^4+10 x^5}{x+\log (x)})}{(x^2+x^3+(x+x^2) \log (x)) \log ^2(\frac {10 x^4+10 x^5}{x+\log (x)})} \, dx\)
  3.101.82 \(\int \frac {e^{\frac {1}{25} (25 x^2+10 x \log (\log (x^2))+\log ^2(\log (x^2)))} (60 x+20 x^2+(-25 x+150 x^2+50 x^3) \log (x^2)+(12+4 x+(30 x+10 x^2) \log (x^2)) \log (\log (x^2)))}{(225 x+150 x^2+25 x^3) \log (x^2)} \, dx\)
  3.101.83 \(\int \frac {x^5+e^{\frac {e^2-4 e^{26} x+4 e^{50} x^2+(2 e x^2-4 e^{25} x^3) \log (x^2)+x^4 \log ^2(x^2)}{x^4}} (4 e^2-4 e x^2+8 e^{50} x^2+e^{25} (-12 e x+8 x^3)+(4 e x^2-4 e^{25} x^3-4 x^4) \log (x^2))}{x^5} \, dx\)
  3.101.84 \(\int \frac {1}{2} (4+e^{-e^{-e^{\frac {1}{2} (-2 x^2-x^3+(-2 x-x^2) \log (3))}+x}+2 x} (-4+e^{-e^{\frac {1}{2} (-2 x^2-x^3+(-2 x-x^2) \log (3))}+x} (2+e^{\frac {1}{2} (-2 x^2-x^3+(-2 x-x^2) \log (3))} (4 x+3 x^2+(2+2 x) \log (3))))) \, dx\)
  3.101.85 \(\int \frac {-5 x^2+x^3+e^x (3+8 x)}{-x^3+e^x (x+2 x^2)} \, dx\)
  3.101.86 \(\int e^{-x} (3 e^x x^2+e^{e^{-x} (3 x^3+e^x (-3 x-3 x^3))} (9 x^4-3 x^5+e^x (2 x-3 x^2-9 x^4))) \, dx\)
  3.101.87 \(\int \frac {-15 x+e^3 x (-12+138 x+54 x^2)}{5 x} \, dx\)
  3.101.88 \(\int \frac {e^{\frac {-2 x+(8+3 x-2 (i \pi +\log (-1+2 e))) \log (x)}{2 \log (x)}} (2-2 \log (x)+3 \log ^2(x))}{-6 \log ^2(x)+2 e^{\frac {-2 x+(8+3 x-2 (i \pi +\log (-1+2 e))) \log (x)}{2 \log (x)}} \log ^2(x)} \, dx\)
  3.101.89 \(\int \frac {-1-2 x}{2 x-2 x^2+x \log (\frac {4 \log (\log (\log (5)))}{5 x})} \, dx\)
  3.101.90 \(\int \frac {e^{-\frac {x^2}{1+3 x+e^{4 x} x-x^2-x^3}} (-2 x-3 x^2-x^4+e^{4 x} (-x^2+4 x^3))}{1+6 x+7 x^2+e^{8 x} x^2-8 x^3-5 x^4+2 x^5+x^6+e^{4 x} (2 x+6 x^2-2 x^3-2 x^4)} \, dx\)
  3.101.91 \(\int \frac {e^{2 x} (-4+2 x-4 x^2+4 x^3+2 x^5+e^{4 x} (-2 x^2+6 x^3)+e^{2 x} (6 x-8 x^2+2 x^3-8 x^4)) (3-\log ^2(3))^2}{x^5} \, dx\)
  3.101.92 \(\int \frac {282-48 x+2 x^2+(-24 x+26 x^2-2 x^3+(24 x-26 x^2+2 x^3) \log (\frac {1-2 x+x^2}{x^2})) \log (-1+\log (\frac {1-2 x+x^2}{x^2}))}{x-x^2+(-x+x^2) \log (\frac {1-2 x+x^2}{x^2})} \, dx\)
  3.101.93 \(\int \frac {36 e^{2 e^x} x^2+e^{e^x} (-3 e^{2 x} x^2+e^x (-6 x+3 x^2))}{4 e^{2 x}+e^{e^x+x} (-96 x+4 x^2)+e^{2 e^x} (576 x^2-48 x^3+x^4)} \, dx\)
  3.101.94 \(\int \frac {9-9 e^5-9 x \log ^2(x)}{x \log ^2(x)} \, dx\)
  3.101.95 \(\int \frac {-5-6 x+48 e^2 x^2}{-1-e+\log (5)} \, dx\)
  3.101.96 \(\int \frac {8000+4800 x+960 x^2-56 x^3-12 x^4+(6000+2400 x+240 x^2-35 x^3) \log (x)+(1500+300 x) \log ^2(x)+125 \log ^3(x)}{(8000 x+4800 x^2+960 x^3+44 x^4-4 x^5+(6000 x+2400 x^2+240 x^3-5 x^4) \log (x)+(1500 x+300 x^2) \log ^2(x)+125 x \log ^3(x)) \log (\frac {160000 x+128000 x^2+38400 x^3+4320 x^4-64 x^5-32 x^6+x^7+(160000 x+96000 x^2+19200 x^3+880 x^4-80 x^5) \log (x)+(60000 x+24000 x^2+2400 x^3-50 x^4) \log ^2(x)+(10000 x+2000 x^2) \log ^3(x)+625 x \log ^4(x)}{160000+128000 x+38400 x^2+5120 x^3+256 x^4+(160000+96000 x+19200 x^2+1280 x^3) \log (x)+(60000+24000 x+2400 x^2) \log ^2(x)+(10000+2000 x) \log ^3(x)+625 \log ^4(x)})} \, dx\)
  3.101.97 \(\int \frac {e^{2+2 x} (216+180 x+36 x^2)+e^{3+3 x} (-24-36 x-18 x^2-3 x^3)}{1728+e^{1+x} (2592+2160 x+432 x^2)+e^{2+2 x} (1296+2160 x+1332 x^2+360 x^3+36 x^4)+e^{3+3 x} (216+540 x+558 x^2+305 x^3+93 x^4+15 x^5+x^6)} \, dx\)
  3.101.98 \(\int \frac {-1387+573 x+812 x^2-199 x^3-190 x^4+9 x^5+17 x^6+2 x^7}{-630+251 x+376 x^2-85 x^3-89 x^4+3 x^5+8 x^6+x^7} \, dx\)
  3.101.99 \(\int \frac {-4+4 x+7 x^2-8 x^3-2 x^4-e^{2 x} x^4+4 x^5-x^6+e^x (-4 x^2+2 x^3+4 x^4-2 x^5)+(4-4 x-7 x^2+8 x^3+2 x^4+e^{2 x} x^4-4 x^5+x^6+e^x (4 x^2-2 x^3-4 x^4+2 x^5)) \log (x)+(6-4 x-5 x^2+6 x^3+2 x^4+e^{2 x} x^4-4 x^5+x^6+e^x (3 x^2-3 x^3-4 x^4+2 x^5)) \log ^2(x)}{(4-4 x-7 x^2+8 x^3+2 x^4+e^{2 x} x^4-4 x^5+x^6+e^x (4 x^2-2 x^3-4 x^4+2 x^5)) \log ^2(x)} \, dx\)
  3.101.100 \(\int \frac {1}{2 e^2} \, dx\)