3.28 Integrals 2701 to 2800

  3.28.1 \(\int \frac {8 e^3 \log (2)}{64 x^2+16 x \log (2)+\log ^2(2)} \, dx\)
  3.28.2 \(\int \frac {e^{-11+2 \log (x) \log (5 x)} (e^5 x-e^{5+\frac {x}{e^5}} x+(-2 e^5 x+e^{\frac {x}{e^5}} (2 e^5 x+x^2)) \log (x)+(-2 e^5 x+2 e^{5+\frac {x}{e^5}} x) \log ^2(x)+(-2 e^5 x+2 e^{5+\frac {x}{e^5}} x) \log (x) \log (5 x))}{\log ^2(x)} \, dx\)
  3.28.3 \(\int \frac {1}{9} (8 x-6 \log (3)+108 e^{3 x} \log ^2(3)+36 e^{4 x} \log ^2(3)+e^x ((-12-48 x) \log (3)+36 \log ^2(3))+e^{2 x} ((-6-48 x) \log (3)+108 \log ^2(3))+(-30 x+18 \log (3)+e^{2 x} (18+36 x) \log (3)+e^x (36+36 x) \log (3)) \log (x)+18 x \log ^2(x)) \, dx\)
  3.28.4 \(\int \frac {2 e^{\frac {1}{5} (-10-2 \log (x))}}{(-20 x+5 e^{\frac {1}{5} (-10-2 \log (x))} x) \log (4-e^{\frac {1}{5} (-10-2 \log (x))})} \, dx\)
  3.28.5 \(\int \frac {-2 x^3+e^{2 e^{-2+2 x}+8 e^{-1+x} x+8 x^2} (-4 e^{-2+2 x} x^2-16 x^3+e^{-1+x} (-8 x^2-8 x^3))+e^{e^{-2+2 x}+4 e^{-1+x} x+4 x^2} (-2 x^2-4 e^{-2+2 x} x^3-16 x^4+e^{-1+x} (-8 x^3-8 x^4))+2 \log (x)-\log ^2(x)}{x^2} \, dx\)
  3.28.6 \(\int \frac {e^{\frac {100+e^3}{1+2 x+x^2}} (-999+e^3 (-10-2 x)-197 x+3 x^2+x^3)}{1+3 x+3 x^2+x^3} \, dx\)
  3.28.7 \(\int \frac {e^{\frac {48-4 x^2+x^3-3 x^4 \log ^2(x)}{x}} (-48-4 x^2+2 x^3-6 x^4 \log (x)-9 x^4 \log ^2(x))}{x^2} \, dx\)
  3.28.8 \(\int \frac {-4 e^{3 x}+8 x+8 x^2+e^{2 x} (16+16 x)+e^x (-16-36 x-16 x^2)+(8 x-4 e^{3 x} x+e^{2 x} (16 x+16 x^2)+e^x (-20 x-28 x^2-16 x^3)) \log (x)+(2 x-e^{3 x} x+e^{2 x} (4 x+4 x^2)+e^x (-5 x-7 x^2-4 x^3)) \log ^2(x)}{(e^{4 x} x+x^3+e^{3 x} (-4 x-4 x^2)+e^x (-4 x^2-4 x^3)+e^{2 x} (4 x+10 x^2+4 x^3)) \log ^2(x)} \, dx\)
  3.28.9 \(\int \frac {e^{-4 x} (4 \log (x^2)+(-2-4 x) \log ^2(x^2))}{4 x^3-4 x^3 \log (2)+x^3 \log ^2(2)} \, dx\)
  3.28.10 \(\int \frac {-2 e^2 (\frac {1}{x})^{2 e^2}-2 e^x x+2 e^{2 x} x}{x} \, dx\)
  3.28.11 \(\int \frac {6+e^{-5+e^{\frac {1}{4} (1-4 x-x^2)}} (2+e^{\frac {1}{4} (1-4 x-x^2)} (2+x))}{6+2 e^{-5+e^{\frac {1}{4} (1-4 x-x^2)}}} \, dx\)
  3.28.12 \(\int \frac {e^{\frac {1+30 x}{x}} (-1-4 x)}{45 x^6} \, dx\)
  3.28.13 \(\int (-8 x+e^{16+x+x^4} (1+4 x^3)) \, dx\)
  3.28.14 \(\int \frac {15}{4 x^2} \, dx\)
  3.28.15 \(\int \frac {-2+2 x+4 x^2}{x} \, dx\)
  3.28.16 \(\int \frac {9-12 x-x^2+2 x^5}{-3 x+6 x^2+x^3+x^6} \, dx\)
  3.28.17 \(\int \frac {-2 e^{2 e^{x^2} (-3+x)} x+e^{e^{\log ^2(2)}+e^{x^2} (-3+x)} (2+(2+e^{x^2} (2 x-12 x^2+4 x^3)) \log (x))}{e^{2 e^{\log ^2(2)}}-2 e^{e^{\log ^2(2)}+e^{x^2} (-3+x)} x+e^{2 e^{x^2} (-3+x)} x^2} \, dx\)
  3.28.18 \(\int (1+e^{4+e^{e^4} (4-x)+3 e^{4+e^{e^4} (4-x)} x} (3-3 e^{e^4} x)) \, dx\)
  3.28.19 \(\int \frac {1}{3} (5-3 e^{2 x+(-1-x) \log (1+2 x+x^2)} \log (1+2 x+x^2)) \, dx\)
  3.28.20 \(\int \frac {1}{3} (3+e^{-6+2 e^3+\frac {1}{3} e^{-6+2 e^3} (18 x^2-2 x^4)} (36 x-8 x^3)) \, dx\)
  3.28.21 \(\int \frac {(-3300+10836 x-10980 x^2+3660 x^3) \log (3)}{-25+75 x-75 x^2+25 x^3} \, dx\)
  3.28.22 \(\int \frac {-6 x^2+6 x^3+8 x^4+(-12 x-18 x^2-6 x^3) \log (1+x)}{1+x+16 x^4+16 x^5+64 x^8+64 x^9+(-48 x^2-64 x^3-16 x^4-384 x^6-512 x^7-128 x^8) \log (1+x)+(576 x^4+960 x^5+448 x^6+64 x^7) \log ^2(1+x)} \, dx\)
  3.28.23 \(\int \frac {-16 e^{2 x} x^2-32 e^{3 x} x^2+e^{4 x} (-80-16 x^2)+(e^{4 x} (-80-48 x^2)+e^{3 x} (-96 x^2+32 x^3)+e^{2 x} (-48 x^2+32 x^3)+(e^{4 x} (-80-48 x^2)+e^{3 x} (-96 x^2+32 x^3)+e^{2 x} (-48 x^2+32 x^3)) \log (x)) \log (1+\log (x))}{(x^6+4 e^x x^6+e^{4 x} (25 x^2+10 x^4+x^6)+e^{3 x} (20 x^4+4 x^6)+e^{2 x} (10 x^4+6 x^6)+(x^6+4 e^x x^6+e^{4 x} (25 x^2+10 x^4+x^6)+e^{3 x} (20 x^4+4 x^6)+e^{2 x} (10 x^4+6 x^6)) \log (x)) \log ^2(1+\log (x))} \, dx\)
  3.28.24 \(\int \frac {e^{-x} (9 x^2-15 x^3+7 x^4-x^5+e^x (42 x^2-30 x^3+5 x^4+e^{\frac {2-x^2}{x}} (18-12 x+11 x^2-6 x^3+x^4)))}{9 x^2-6 x^3+x^4} \, dx\)
  3.28.25 \(\int \frac {-20 x-94 x^2-110 x^3+(-3 x^2-3 \log (2)) \log (x^2+\log (2))+(-20 x^2-100 x^3-125 x^4+(-20-100 x-125 x^2) \log (2)) \log ^2(x^2+\log (2))}{(20 x^2+100 x^3+125 x^4+(20+100 x+125 x^2) \log (2)) \log ^2(x^2+\log (2))} \, dx\)
  3.28.26 \(\int \frac {12 x+e^{15} (-4+4 x)+e^5 (-12+12 x-8 x^2)+e^{10} (12 x-8 x^2)+(-12+12 x-8 x^2+e^{10} (-12+12 x)+e^5 (24 x-16 x^2)) \log (x)+(12 x-8 x^2+e^5 (-12+12 x)) \log ^2(x)+(-4+4 x) \log ^3(x)}{(10 x+e^{20} x-12 e^5 x^2-4 e^{15} x^2+e^{10} (6 x+4 x^3)+(4 e^{15} x-12 x^2-12 e^{10} x^2+e^5 (12 x+8 x^3)) \log (x)+(6 x+6 e^{10} x-12 e^5 x^2+4 x^3) \log ^2(x)+(4 e^5 x-4 x^2) \log ^3(x)+x \log ^4(x)) \log (10+e^{20}-12 e^5 x-4 e^{15} x+e^{10} (6+4 x^2)+(4 e^{15}-12 x-12 e^{10} x+e^5 (12+8 x^2)) \log (x)+(6+6 e^{10}-12 e^5 x+4 x^2) \log ^2(x)+(4 e^5-4 x) \log ^3(x)+\log ^4(x))} \, dx\)
  3.28.27 \(\int \frac {4 e x+e^{1+x} (2+2 x)+e^{\frac {2 e-e^x}{e}} (-2 e+2 e^x x)}{e^{1+\frac {3 (2 e-e^x)}{e}} x^3-e^{1+3 x} x^3-3 e^{1+2 x} x^4-3 e^{1+x} x^5-e x^6+e^{\frac {2 (2 e-e^x)}{e}} (-3 e^{1+x} x^3-3 e x^4)+e^{\frac {2 e-e^x}{e}} (3 e^{1+2 x} x^3+6 e^{1+x} x^4+3 e x^5)} \, dx\)
  3.28.28 \(\int \frac {4 x^2+6 x^3+e (2 x+3 x^2)+e^{2 x} (20 x^2+e (-10+20 x))+2 x^2 \log (x)}{2 x^2} \, dx\)
  3.28.29 \(\int \frac {-28 x^2-48 x^3-20 x^4+(i \pi +\log (5-e))^4 (-20-10 \log (\frac {4}{x^2}))+(-14 x^2-28 x^3-10 x^4) \log (\frac {4}{x^2})+(i \pi +\log (5-e))^3 (-80 x-40 x \log (\frac {4}{x^2}))+(i \pi +\log (5-e))^2 (-48 x-120 x^2+(-20 x-60 x^2) \log (\frac {4}{x^2}))+(i \pi +\log (5-e)) (-96 x^2-80 x^3+(-48 x^2-40 x^3) \log (\frac {4}{x^2}))}{5 x^4+10 x^5+5 x^6+(20 x^4+20 x^5) (i \pi +\log (5-e))+(10 x^3+30 x^4) (i \pi +\log (5-e))^2+20 x^3 (i \pi +\log (5-e))^3+5 x^2 (i \pi +\log (5-e))^4} \, dx\)
  3.28.30 \(\int \frac {e^{\frac {1}{5} \log (1+x) \log (25-x+\log (5))} (-125-120 x+5 x^2+(-5-5 x) \log (5)+(-8-6 x+2 x^2+(4+3 x-x^2) \log (\frac {4-x}{2})) \log (1+x)+(200-58 x+2 x^2+(8-2 x) \log (5)+(-100+29 x-x^2+(-4+x) \log (5)) \log (\frac {4-x}{2})) \log (25-x+\log (5)))}{-2000-1420 x+560 x^2-20 x^3+(-80-60 x+20 x^2) \log (5)+(2000+1420 x-560 x^2+20 x^3+(80+60 x-20 x^2) \log (5)) \log (\frac {4-x}{2})+(-500-355 x+140 x^2-5 x^3+(-20-15 x+5 x^2) \log (5)) \log ^2(\frac {4-x}{2})} \, dx\)
  3.28.31 \(\int \frac {-26+10 x-x^2+e^x (25-10 x+x^2)}{25-10 x+x^2} \, dx\)
  3.28.32 \(\int \frac {5-3 x+12 x \log (3)}{15 x-3 x^2+(-60 x+12 x^2) \log (3)+5 x \log (2 x)} \, dx\)
  3.28.33 \(\int \frac {24+2 x-2 x^2-7 x \log (\frac {81 x^2}{2})}{(16 x-8 x^2+x^3) \log ^2(\frac {81 x^2}{2})} \, dx\)
  3.28.34 \(\int \frac {76+106 x+102 x^2+81 x^3+36 x^4+6 x^5+(-8-12 x-6 x^2-x^3) \log (4)}{32+48 x+24 x^2+4 x^3} \, dx\)
  3.28.35 \(\int \frac {400+800 x^2+400 x^4+e^{2 x+2 x \log (4)} (-2+2 x+x^2)+e^{x+x \log (4)} (100-80 x+100 x^2+40 x^3+(60+60 x^2) \log (4))}{400+800 x^2+400 x^4+e^{2 x+2 x \log (4)} (1+2 x+x^2)+e^{x+x \log (4)} (40+40 x+40 x^2+40 x^3)} \, dx\)
  3.28.36 \(\int \frac {-2+e^x (-1+x)+2 x+(-e^x-x) \log (e^x+x)}{8 x-8 x^2+2 x^3+e^x (8-8 x+2 x^2)} \, dx\)
  3.28.37 \(\int \frac {-48 x^2+12 x^3+(16+28 x-8 x^2+(16-4 x) \log (x)) \log (\log (2))+(4 x^2+3 x^3+(-4 x-3 x^2+(-4-3 x) \log (x)) \log (\log (2))) \log (\frac {x^3+(-x^2-x \log (x)) \log (\log (2))}{\log (\log (2))})}{(1024 x^2-1280 x^3+640 x^4-160 x^5+20 x^6-x^7+(-1024 x+1280 x^2-640 x^3+160 x^4-20 x^5+x^6+(-1024+1280 x-640 x^2+160 x^3-20 x^4+x^5) \log (x)) \log (\log (2))) \log ^5(\frac {x^3+(-x^2-x \log (x)) \log (\log (2))}{\log (\log (2))})} \, dx\)
  3.28.38 \(\int \frac {150+e^x (75-5 x)-12 x+(-3-e^x) \log (3+e^x)}{12+4 e^x} \, dx\)
  3.28.39 \(\int \frac {(-28-8 x+8 x^2) \log (16)+(-7-4 x+6 x^2) \log (16) \log (x^4)}{(49 x^2+28 x^3-24 x^4-8 x^5+4 x^6) \log ^2(x^4)} \, dx\)
  3.28.40 \(\int \frac {-225 x^5+162 x^6+e^{3 x} (12 x-12 x^2-108 x^5)+e^x (-68 x^3+68 x^4-36 x^5)+e^{2 x} (60 x^2-78 x^3+36 x^4-306 x^5-288 x^6+324 x^7)+e^{4 x} (-4+4 x-18 x^3+72 x^4+162 x^6+324 x^7)}{81 x^5} \, dx\)
  3.28.41 \(\int (-4 x^3+4 e x^3) \, dx\)
  3.28.42 \(\int \frac {32+2 e^{10}+512 x^3+128 x^4+128 x^8+e^5 (-16-32 x^4)}{64-64 x+16 x^2+e^{10} x^2-128 x^5+64 x^6+64 x^{10}+e^5 (16 x-8 x^2-16 x^6)} \, dx\)
  3.28.43 \(\int \frac {3}{x} \, dx\)
  3.28.44 \(\int \frac {e^{-\frac {5}{-3+e^2}} (-48 x^2-4 \log (3)+e^{\frac {5}{-3+e^2}} (-16 x^6-8 x^4 \log (3)-x^2 \log ^2(3)))}{16 x^6+8 x^4 \log (3)+x^2 \log ^2(3)} \, dx\)
  3.28.45 \(\int (1+(-x-2 x \log (x)) \log (\frac {\log (2)}{3})) \, dx\)
  3.28.46 \(\int \frac {-2 e^{e^2}+e^{\frac {1}{2} e^{-e^2} (2 e^{e^2} x+3 x^2+x^3)} (2 e^{e^2}+6 x+3 x^2)}{16 e^{e^2+\frac {1}{2} e^{-e^2} (2 e^{e^2} x+3 x^2+x^3)}+e^{e^2} (-16-16 x)+(2 e^{e^2+\frac {1}{2} e^{-e^2} (2 e^{e^2} x+3 x^2+x^3)}+e^{e^2} (-2-2 x)) \log (1-e^{\frac {1}{2} e^{-e^2} (2 e^{e^2} x+3 x^2+x^3)}+x)} \, dx\)
  3.28.47 \(\int (-1+50 e^{2 x}+50 x-150 x^2+100 x^3+e^x (50-50 x-50 x^2)+e^{\frac {2 e^{2+x}}{5}} (50 x+10 e^{2+x} x^2)+e^{\frac {e^{2+x}}{5}} (100 x-150 x^2+e^x (50+50 x)+e^{2+x} (10 e^x x+10 x^2-10 x^3))) \, dx\)
  3.28.48 \(\int \frac {e^{e^{-x^2} (e^{x^2} (-5+x)-3 x)-x-x^2} (12 x-12 x^2-24 x^3+24 x^4+e^x (3 x^2-3 x^3-6 x^4+6 x^5)+e^{x^2} (4-12 x+e^x (-3 x^2+x^3)))}{-x^2+3 x^3-3 x^4+x^5} \, dx\)
  3.28.49 \(\int \frac {-4 x+8 e^{8-2 x} x+(-8+e^{8-2 x}+x) \log (64+e^{16-4 x}-16 x+x^2+e^{8-2 x} (-16+2 x))}{(-8+e^{8-2 x}+x) \log ^3(64+e^{16-4 x}-16 x+x^2+e^{8-2 x} (-16+2 x))} \, dx\)
  3.28.50 \(\int -\frac {3}{3 x+x^2} \, dx\)
  3.28.51 \(\int \frac {2-5 x+4 x^2-x^3+(-x+4 x^2-2 x^3) \log (4)-x^3 \log ^2(4)+(x+x \log (4)) \log (x)}{20 x-60 x^2+65 x^3-30 x^4+5 x^5+(-20 x^2+50 x^3-40 x^4+10 x^5) \log (4)+(5 x^3-10 x^4+5 x^5) \log ^2(4)+(20 x-30 x^2+10 x^3+(-10 x^2+10 x^3) \log (4)) \log (x)+5 x \log ^2(x)} \, dx\)
  3.28.52 \(\int \frac {e^{-2+\frac {-27-135 e^2+\frac {1}{3} e^x (1+5 e^2) x}{e^2 x^2}} (54+270 e^2+\frac {1}{3} e^x x (-1+x+e^2 (-5+5 x)))}{x^3} \, dx\)
  3.28.53 \(\int \frac {-21+63 x-63 x^2+19 x^3+(2-6 x+6 x^2-2 x^3) \log (9)}{-x^3+3 x^4-3 x^5+x^6} \, dx\)
  3.28.54 \(\int -\frac {6}{x} \, dx\)
  3.28.55 \(\int (1+e^{4+3 x+16 x^2+16 x^4} (-3-32 x-64 x^3)) \, dx\)
  3.28.56 \(\int \frac {18+2 x+18 \log (\frac {5}{x})+(162-126 x-34 x^2-2 x^3) \log ^2(\frac {5}{x})}{(81+18 x+x^2) \log ^2(\frac {5}{x})} \, dx\)
  3.28.57 \(\int \frac {\log (5)+e^{7 x} (-2+14 x+21 x^2) \log (5)}{16 x^2} \, dx\)
  3.28.58 \(\int \frac {e^{\frac {-2+(-14+2 x) \log (\log (x))}{\log (\log (x))}} (1+x \log (x) \log ^2(\log (x)))}{2 x \log (x) \log ^2(\log (x))} \, dx\)
  3.28.59 \(\int \frac {-2 x^2+10 x^6+e^{9 x} (-4+9 x)}{5 x^5} \, dx\)
  3.28.60 \(\int \frac {23-2 x+529 x^2+108 e^{24+3 x} x^2+9 e^{32+4 x} x^2-46 x^3+x^4+e^{8+x} (18+18 x+828 x^2-36 x^3)+e^{16+2 x} (3+6 x+462 x^2-6 x^3)}{529 x^2+108 e^{24+3 x} x^2+9 e^{32+4 x} x^2-46 x^3+x^4+e^{8+x} (828 x^2-36 x^3)+e^{16+2 x} (462 x^2-6 x^3)} \, dx\)
  3.28.61 \(\int \frac {-6+10 e^{x+\frac {1}{2} (20+11 x)}+e^{x+\frac {1}{2} (20+11 x)} (-10+65 x) \log (x)}{6 x+10 e^{x+\frac {1}{2} (20+11 x)} x \log (x)} \, dx\)
  3.28.62 \(\int \frac {-16 x^2+8 x^3+8 x^4+e^2 (2+8 x+8 x^2)+e (-9-4 x-16 x^2-16 x^3)}{2 x^2+8 x^3+8 x^4+e^2 (2+8 x+8 x^2)+e (-4 x-16 x^2-16 x^3)} \, dx\)
  3.28.63 \(\int \frac {12 x^2+(3+24 x^2) \log (3)}{4 x^2} \, dx\)
  3.28.64 \(\int \frac {e^{-1/x} (e^{\frac {1}{x}+x} (-4 x+6 x^2+4 x^3-2 x^4)+e^{2 e^{-1/x}+x} (-8+8 x-2 x^2+e^{\frac {1}{x}} (-4 x^2+4 x^3-x^4))+e^{\frac {1}{x}+x} (-6 x^2+2 x^3) \log (\frac {x}{4}))}{8 x^2-8 x^3+2 x^4} \, dx\)
  3.28.65 \(\int \frac {-6+\frac {1}{2} e^{2 x} (1-2 x)+e^x (-1+x)}{x^2} \, dx\)
  3.28.66 \(\int \frac {20+1000 x+11 x^2+400 x^3+x^4+40 x^5+(2000+800 x^2+80 x^4) \log (2)}{25+10 x^2+x^4} \, dx\)
  3.28.67 \(\int \frac {(\frac {-4+4 x}{x})^{-5 x} (-1-4 x+e^{x^2} (\frac {-4+4 x}{x})^{5 x} (-4 x+4 x^2)+(5 x-5 x^2) \log (\frac {-4+4 x}{x}))}{-2+2 x} \, dx\)
  3.28.68 \(\int 2 x \, dx\)
  3.28.69 \(\int \frac {-4 x-6 x^2}{5+x^2+x^3} \, dx\)
  3.28.70 \(\int \frac {e^x+e^x (-2+x) \log (\frac {1}{x})}{x^3 \log ^2(\frac {1}{x})} \, dx\)
  3.28.71 \(\int e^{-2 x-e^{-x} (x^2-e^x x^2)} (18 e^{4 x+e^{-x} (x^2-e^x x^2)}+2 x^2-x^3+e^x (-1+x-2 x^2)) \, dx\)
  3.28.72 \(\int \frac {4 x \log (3)-4 \log (3) \log (9)}{(-4 x+5 x \log (3)) \log (9)} \, dx\)
  3.28.73 \(\int \frac {864 x^2-96 x^3-432 x^4+12 x^5+54 x^6}{(16-8 x^2+x^4) \log (2)} \, dx\)
  3.28.74 \(\int \frac {16-4 x+x \log (4)+(-32+4 x-x \log (4)) \log (x)}{20 x^3} \, dx\)
  3.28.75 \(\int \frac {e^{e^{-2+x}-e^x-x} (1-x+(-x+e^{-2+x} x-e^x x) \log (\frac {e^{-x} x}{2}))}{x} \, dx\)
  3.28.76 \(\int \frac {(-4+e^{e^{x^2}} (4 x+(4 x+8 e^{x^2} x^3) \log (x))) \log ^3(\frac {1}{4} (25 \log (x)-25 e^{e^{x^2}} x \log (x)))}{-x \log (x)+e^{e^{x^2}} x^2 \log (x)} \, dx\)
  3.28.77 \(\int \frac {-2 x+x^2+(-24-6 x) \log (2)+(-24-2 x+x^2+(-24-6 x) \log (2)) \log (\frac {4+x}{x})+(-24-6 x+(-24-6 x) \log (\frac {4+x}{x})) \log (x+x \log (\frac {4+x}{x}))}{24+6 x+(24+6 x) \log (\frac {4+x}{x})} \, dx\)
  3.28.78 \(\int \frac {e^{-2 x} (4 e^{2 x} x^4 \log ^2(3)+e^x (4 x^3 \log (3)-32 x^2 \log ^2(3)) \log (x)+e^x ((-6 x^2+6 x^3-2 x^4) \log (3)+(-32 x^2+16 x^3) \log ^2(3)) \log ^2(x)+(4 x^2-64 x \log (3)+e^x (-4 x^2+2 x^3) \log (3)+256 \log ^2(3)) \log ^3(x)+(-10 x+2 x^2-2 x^3+(80-16 x+32 x^2) \log (3)-128 x \log ^2(3)) \log ^4(x)+(6-2 x+4 x^2-32 x \log (3)) \log ^5(x)-2 x \log ^6(x))}{x \log ^2(3)} \, dx\)
  3.28.79 \(\int \frac {-3-147 x-75 x^2+(-147 x-150 x^2) \log (2 x)}{(5 x+490 x^2+12255 x^3+12250 x^4+3125 x^5) \log ^2(2 x)} \, dx\)
  3.28.80 \(\int \frac {-15 x+(-135+15 x+15 \log (25)) \log (-9+x+\log (25))+(-18+2 x+2 \log (25)+e^x (-27+3 x+3 \log (25))) \log ^2(-9+x+\log (25))}{(-27+3 x+3 \log (25)) \log ^2(-9+x+\log (25))} \, dx\)
  3.28.81 \(\int \frac {-2 e^3+e^6 (-4 x+10 x^2)+e^6 (-2+20 x-50 x^2) \log (4)}{x^2+2 e^3 x^3+e^6 x^4+(2 x-10 x^2+e^3 (4 x^2-20 x^3)+e^6 (2 x^3-10 x^4)) \log (4)+(1-10 x+25 x^2+e^3 (2 x-20 x^2+50 x^3)+e^6 (x^2-10 x^3+25 x^4)) \log ^2(4)} \, dx\)
  3.28.82 \(\int \frac {1-x \log (x)}{x \log (x)} \, dx\)
  3.28.83 \(\int \frac {e^{1-e^x-e^{\log ^2(-2+x)}+2 x+\log ^2(16-8 x+x^2)} (16-12 x+2 x^2+e^x (-8+6 x-x^2)+e^{\log ^2(-2+x)} (8-2 x) \log (-2+x)+(-8+4 x) \log (16-8 x+x^2))}{8-6 x+x^2} \, dx\)
  3.28.84 \(\int \frac {e^{10} (1+4 x^2)+e^{5+x^2} (2 x^2+4 x^3-4 x^4)+e^{2 x^2} (-x^2+4 x^3-3 x^4)+e^{2 x^2} \log (x)}{e^{10} x+e^{5+x^2} (2 x^2-2 x^3)+e^{2 x^2} (x+x^3-2 x^4+x^5)+e^{2 x^2} x \log (x)} \, dx\)
  3.28.85 \(\int \frac {12 x^8-8 x^9-12 x^{10}+e^{10} (6 x^3-4 x^4-6 x^5)+(12 x^8-4 x^9-4 x^{10}+e^{10} (-24 x^3+8 x^4+8 x^5)) \log (3 x-x^2-x^3)}{(e^{24} (-3+x+x^2)+e^{14} (-12 x^5+4 x^6+4 x^7)+e^4 (-12 x^{10}+4 x^{11}+4 x^{12})) \log ^2(3 x-x^2-x^3)} \, dx\)
  3.28.86 \(\int \frac {1}{80} (9 e^3 x^2-3 e^3 x^2 \log (9)) \, dx\)
  3.28.87 \(\int \frac {-123904 x^2+5632 x^3-64 x^4+(4224 x+61856 x^2-4224 x^3+64 x^4) \log (x)+(-32-1408 x+64 x^2) \log ^2(x)+(123904 x^2-5632 x^3+64 x^4+(-2816 x-123840 x^2+8448 x^3-128 x^4) \log (x)+(2816 x-128 x^2) \log ^2(x)) \log (\log ^2(x))+((-1408 x+61984 x^2-4224 x^3+64 x^4) \log (x)+(32-1408 x+64 x^2) \log ^2(x)) \log ^2(\log ^2(x))}{x \log (x)} \, dx\)
  3.28.88 \(\int (-6+e^{7-x} (1-x)+4 x+2 e^3 x) \, dx\)
  3.28.89 \(\int \frac {8 x \log (x)+16 \log (\log (x))-16 \log (x) \log ^2(\log (x))}{5 x^3 \log (x)} \, dx\)
  3.28.90 \(\int \frac {-3+7 x-91 x^2-101 x^3+x^4+4 x^5}{3 x+3 x^2} \, dx\)
  3.28.91 \(\int \frac {(68-74 x+22 x^2-x^3) \log (4-4 x+x^2)+(-320+132 x-30 x^2+2 x^3) \log (\frac {-10+x}{32-10 x+2 x^2})}{320-292 x+96 x^2-17 x^3+x^4} \, dx\)
  3.28.92 \(\int \frac {4-4 x-5 x^2+x^3+(-4+x^2) \log (\frac {3 e^x}{16 x-8 x^3+x^5})}{-4+x^2} \, dx\)
  3.28.93 \(\int \frac {-24 x-8 e x-80 x^2+e^{\frac {4+x}{x}} (12+23 x+10 x^2+e (4+x))}{192 x+64 e x+e^{\frac {4+x}{x}} (-48 x-16 e x)+e^{\frac {2 (4+x)}{x}} (3 x+e x)} \, dx\)
  3.28.94 \(\int \frac {-20+18 x+(5 e^3-20 x+9 x^2) \log (\frac {-5 e^3+20 x-9 x^2}{e^3})}{(5 e^3-20 x+9 x^2) \log (\frac {-5 e^3+20 x-9 x^2}{e^3})} \, dx\)
  3.28.95 \(\int \frac {2-e^{-5+x}}{8+4 e^{-5+x} x} \, dx\)
  3.28.96 \(\int \frac {-2-x+\frac {(2+x) (20-15 \log (3))}{e}}{-40-20 x+(30+15 x) \log (3)} \, dx\)
  3.28.97 \(\int \frac {e^{27}+e^{3-e^2+x} (1-x)}{e^{27} x+e^{3-e^2+x} x+e^3 x^2} \, dx\)
  3.28.98 \(\int \frac {-1024 x^3+e^{2+2 e^{9 x}} (160 x^4-2880 e^{9 x} x^5)}{-4096+3840 e^{2+2 e^{9 x}} x-1200 e^{4+4 e^{9 x}} x^2+125 e^{6+6 e^{9 x}} x^3} \, dx\)
  3.28.99 \(\int \frac {-18+36 x-18 x^2+(-18 x+18 x^2) \log (x)+2 x^2 \log ^3(x)}{x \log ^3(x)} \, dx\)
  3.28.100 \(\int \frac {-12+4 e^2}{1444+4 e^4+e^2 (152-44 x)-836 x+121 x^2} \, dx\)