3.79 Integrals 7801 to 7900

  3.79.1 \(\int \frac {1}{5} e^{-3-e^{e^{-4+x}}} (6 e^{-4+e^{-4+x}+x} \log (4)+e^{e^{1+x}} (10 e^{1+x} \log (4)-10 e^{-4+e^{-4+x}+x} \log (4))) \, dx\)
  3.79.2 \(\int \frac {(1-32 x+256 x^2) \log ^2(x)+e^{\frac {-16 x^3+(-64 x-16 x^2) \log (x)}{(-1+16 x) \log (x)}} (-16 x^2+256 x^3+(48 x^2-512 x^3) \log (x)+(64+32 x-256 x^2) \log ^2(x))}{(1-32 x+256 x^2) \log ^2(x)} \, dx\)
  3.79.3 \(\int \frac {-4 \log (e^{-x/4} x)+(e^5 (4 x^2-x^3)-4 e^5 x^2 \log (e^{-x/4} x)) \log (\frac {3 x}{\log (e^{-x/4} x)})}{2 e^5 x^3 \log (e^{-x/4} x)} \, dx\)
  3.79.4 \(\int -\frac {216 \log (\log (1-x))}{(-81+81 x) \log (1-x)+(-18+18 x) \log (1-x) \log ^2(\log (1-x))+(-1+x) \log (1-x) \log ^4(\log (1-x))} \, dx\)
  3.79.5 \(\int \frac {-7-e^{12}+36 x-111 x^2+66 x^3+12 x^4-24 x^5+53 x^6-42 x^7+20 x^9-15 x^{10}+6 x^{11}-x^{12}+e^8 (-9-3 x^2+6 x^3-3 x^4)+e^4 (-15-6 x^2+3 x^4+12 x^5-18 x^6+12 x^7-3 x^8)}{1+e^{12}+3 x^2-6 x^3+6 x^4-12 x^5+19 x^6-18 x^7+18 x^8-20 x^9+15 x^{10}-6 x^{11}+x^{12}+e^8 (3+3 x^2-6 x^3+3 x^4)+e^4 (3+6 x^2-12 x^3+9 x^4-12 x^5+18 x^6-12 x^7+3 x^8)} \, dx\)
  3.79.6 \(\int \frac {1}{10} (10-39 x+9 x^2-4 x^3+2 x \log (\frac {x}{\log ^2(4)})) \, dx\)
  3.79.7 \(\int \frac {4+x}{8 x} \, dx\)
  3.79.8 \(\int (-32 x+12 x^2+16 x^3+e^{2 x} (2 x+2 x^2)+e^x (-12 x^2-4 x^3)) \, dx\)
  3.79.9 \(\int \frac {e^{e^{25 x^2 \log ^2(\frac {e^3-x}{1+e^3-x})}+25 x^2 \log ^2(\frac {e^3-x}{1+e^3-x})} (-25 x^2 \log (\frac {e^3-x}{1+e^3-x})+(25 e^6 x-25 x^2+25 x^3+e^3 (25 x-50 x^2)) \log ^2(\frac {e^3-x}{1+e^3-x}))}{8 e^6+e^3 (8-16 x)-8 x+8 x^2} \, dx\)
  3.79.10 \(\int \frac {3-4 x+(2 x-2 x^2) \log (\frac {e^2}{-x^3+x^4})+(1-x) \log (\frac {e^2}{-x^3+x^4}) \log (e^{-2 x} \log (\frac {e^2}{-x^3+x^4}))}{(-1+x) \log (\frac {e^2}{-x^3+x^4}) \log ^2(e^{-2 x} \log (\frac {e^2}{-x^3+x^4}))} \, dx\)
  3.79.11 \(\int \frac {9+576 x+(x+72 x^2) \log (4)+(144 x+16 x^2 \log (4)) \log (9+x \log (4))}{9 x+288 x^2+(x^2+32 x^3) \log (4)+(72 x^2+8 x^3 \log (4)) \log (9+x \log (4))} \, dx\)
  3.79.12 \(\int \frac {1+(-3 x-2 x^2) \log (x) \log (\log (x))}{x \log (x) \log (\log (x))} \, dx\)
  3.79.13 \(\int 5 e^x \, dx\)
  3.79.14 \(\int \frac {-4+3 x+x^2+(-4-x) \log (4+x)+(-6 x^3-2 x^4) \log (1-x+\log (4+x))+(12 x^2-9 x^3-3 x^4+(12 x^2+3 x^3) \log (4+x)) \log ^2(1-x+\log (4+x))}{4-3 x-x^2+(4+x) \log (4+x)} \, dx\)
  3.79.15 \(\int \frac {1}{10} (-9+54 x-108 x^2+e (-18+48 x)) \, dx\)
  3.79.16 \(\int \frac {x^{-1-\frac {1}{\log (\log (x))}} (e^{2+x}-e^{2+x} \log (\log (x))+e^{2+x} x \log ^2(\log (x)))}{\log ^2(\log (x))} \, dx\)
  3.79.17 \(\int \frac {-8 e^{2 x}+e^{4 x} (4 e^{2 x}+e^x (1-2 x)-4 x)+e^x (-2+4 x)+(-2+e^{4 x}+e^{e^x} (-2 e^x+e^{5 x})) \log ^2(2-e^{4 x})+(-8 e^{2 x}+e^{4 x} (4 e^{2 x}+e^x (1-x))+e^x (-2+2 x)) \log (x)+(-2 e^{2 x}+e^{6 x}) \log ^2(x)+e^{e^x} (-8 e^{3 x}+4 e^{7 x}+(-8 e^{3 x}+4 e^{7 x}) \log (x)+(-2 e^{3 x}+e^{7 x}) \log ^2(x))+\log (2-e^{4 x}) (-2-8 e^x+e^{4 x} (1+4 e^x)+(-4 e^x+2 e^{5 x}) \log (x)+e^{e^x} (-8 e^{2 x}+4 e^{6 x}+(-4 e^{2 x}+2 e^{6 x}) \log (x)))}{-8 e^{2 x}+4 e^{6 x}+(-2+e^{4 x}) \log ^2(2-e^{4 x})+(-8 e^{2 x}+4 e^{6 x}) \log (x)+(-2 e^{2 x}+e^{6 x}) \log ^2(x)+\log (2-e^{4 x}) (-8 e^x+4 e^{5 x}+(-4 e^x+2 e^{5 x}) \log (x))} \, dx\)
  3.79.18 \(\int \frac {144+144 x+48 x^2+48 x^3+4 x^4+4 x^5+e^{\frac {49+14 e+e^2}{6+x^2}} (-36+86 x^2+28 e x^2+2 e^2 x^2-x^4)}{36+12 x^2+x^4} \, dx\)
  3.79.19 \(\int \frac {1242+3728 x+3730 x^2+1244 x^3+e^{\frac {2 x-x^2}{2+2 x}} (2 x^3-2 x^4-x^5)+(-2 x-4 x^2-2 x^3+e^{\frac {2 x-x^2}{2+2 x}} (4 x^2-4 x^3-2 x^4)) \log (x)+e^{\frac {2 x-x^2}{2+2 x}} (2 x-2 x^2-x^3) \log ^2(x)}{2 x^3+4 x^4+2 x^5+(4 x^2+8 x^3+4 x^4) \log (x)+(2 x+4 x^2+2 x^3) \log ^2(x)} \, dx\)
  3.79.20 \(\int \frac {x-\log (-130 e^{-4-x})+4 \log ^2(-130 e^{-4-x})}{1+(-8-4 x) \log (-130 e^{-4-x})+(16+16 x+4 x^2) \log ^2(-130 e^{-4-x})} \, dx\)
  3.79.21 \(\int \frac {-5 \sqrt {e}+5 x^2+40 x^3+e^3 (2 \sqrt {e} x^2+2 x^4+8 x^5)}{e^3 (\sqrt {e} x+x^3+4 x^4)} \, dx\)
  3.79.22 \(\int \frac {e^{-e^{\frac {1}{3 \log (4+x)}}+x} (-8 e^{\frac {1}{3 \log (4+x)}} x+(96-72 x-24 x^2) \log ^2(4+x))}{e^{-2 e^{\frac {1}{3 \log (4+x)}}+2 x} (12+3 x) \log ^2(4+x)+e^{-e^{\frac {1}{3 \log (4+x)}}+x} (-24 x-6 x^2) \log ^2(4+x)+(12 x^2+3 x^3) \log ^2(4+x)} \, dx\)
  3.79.23 \(\int \frac {1}{3} e^{2 x} (4-50 x-6 x^2) \log ^4(4) \, dx\)
  3.79.24 \(\int (e^x (10-x)+2^{-5+4 x} e^x (-1-2 \log (4))) \, dx\)
  3.79.25 \(\int (2 x+e^{2 x+5 x^2} (2+10 x)) \, dx\)
  3.79.26 \(\int \frac {e^x (-5+e^3)+5 x+5 x^2+e^3 (-x-x^2)+e^{(-e^x+x+x^2)^x} (e^x-x-x^2+(-e^x+x+x^2)^x (x^2-e^x x^2+2 x^3+(-e^x x+x^2+x^3) \log (-e^x+x+x^2)))}{e^x x^2-x^3-x^4} \, dx\)
  3.79.27 \(\int \frac {e^2 (-e x-x^2)+e^{\frac {\log (e+x)+e^2 \log (5 x \log (4))}{e^2}} (x+e^2 (e+x))}{e^2 (e x+x^2)} \, dx\)
  3.79.28 \(\int \frac {-e^{5+x} x-2 \log (x)}{x} \, dx\)
  3.79.29 \(\int \frac {-45+30 x-14 x^2+2 x^3}{225-150 x+25 x^2} \, dx\)
  3.79.30 \(\int \frac {-90 x-3 x^2+3 x^3+(-44 x-33 x^2) \log (4+3 x)+(-120-94 x+x^2+3 x^3) \log (4+3 x) \log (\frac {6-x}{(10+2 x) \log (4+3 x)})}{(-120-94 x+x^2+3 x^3) \log (4+3 x) \log ^2(\frac {6-x}{(10+2 x) \log (4+3 x)})} \, dx\)
  3.79.31 \(\int \frac {1-18 x+18 x^2-9216 x^4}{x} \, dx\)
  3.79.32 \(\int \frac {-3 e^x x^3+e^{2 x} (2 x+x^4)+(e^{2 x} (18-6 x+36 x^3-12 x^4)+e^x (-81 x^2+54 x^3-9 x^4)+(e^{2 x} (6-2 x+12 x^3-4 x^4)+e^x (-27 x^2+18 x^3-3 x^4)) \log (3-x)) \log (3+\log (3-x))}{-81 x^6+27 x^7+e^x (108 x^4-36 x^5+54 x^7-18 x^8)+e^{2 x} (-36 x^2+12 x^3-36 x^5+12 x^6-9 x^8+3 x^9)+(-27 x^6+9 x^7+e^x (36 x^4-12 x^5+18 x^7-6 x^8)+e^{2 x} (-12 x^2+4 x^3-12 x^5+4 x^6-3 x^8+x^9)) \log (3-x)} \, dx\)
  3.79.33 \(\int \frac {36 e^{1+\log ^2(\frac {1}{6} (24+6 e^x-x^2))} (e^{e^{2 x}} (-12 e^x+4 x+e^{2 x} (48+12 e^x-2 x^2))+e^{e^{2 x}} (12 e^x-4 x) \log (\frac {1}{6} (24+6 e^x-x^2)))}{(24+6 e^x-x^2)^3} \, dx\)
  3.79.34 \(\int \frac {18-42 x+32 x^2-8 x^3+(18 x-24 x^2+8 x^3) \log (\frac {x}{5})+(-60 x+72 x^2-24 x^3) \log ^2(\frac {x}{5})}{(9 x-12 x^2+4 x^3) \log ^2(\frac {x}{5})} \, dx\)
  3.79.35 \(\int \frac {-1+e^4 (-5-2 x^2)+e^8 (10 x+5 x^2-x^4)+e^{2+x} (5 e^4+e^8 (-10 x+5 x^2))}{5 e^4+10 e^8 x^2+5 e^{12} x^4} \, dx\)
  3.79.36 \(\int \frac {1}{2} (-11-24 x) \, dx\)
  3.79.37 \(\int \frac {-192000 x^2+128000 x^3-5000 x^4+2000 x^5+e^{6 x} (3 x^2-2 x^3)+e^{4 x} (-360 x^2+240 x^3)+e^{2 x} (14400 x^2-9600 x^3+125 x^4-150 x^5)}{-64000 e^{2 x}+4800 e^{4 x}-120 e^{6 x}+e^{8 x}} \, dx\)
  3.79.38 \(\int \frac {3^{\frac {1}{2 x^3}} e^{\frac {2}{x^3}} (-\frac {1}{8+3 x})^{\frac {1}{2 x^3}} (-3 x+(-24-9 x) \log (-\frac {3 e^4}{8+3 x}))}{16 x^4+6 x^5} \, dx\)
  3.79.39 \(\int e^{18 e^{8 x-4 x^2}+8 x-4 x^2} (144-144 x) \, dx\)
  3.79.40 \(\int \frac {64 x}{1344+368 x^2+25 x^4+(2944+400 x^2) \log (5)+1600 \log ^2(5)} \, dx\)
  3.79.41 \(\int \frac {1}{x} \, dx\)
  3.79.42 \(\int (5-2 x+2 e^2 x+e^{3 x} (-6 x^2+2 x^3+6 x^4)) \, dx\)
  3.79.43 \(\int \frac {e^{2+\frac {1}{4+e^{4-32 x^4+64 x^2 \log (4)-32 \log ^2(4)}-4 e^{2-16 x^4+32 x^2 \log (4)-16 \log ^2(4)}}-16 x^4+32 x^2 \log (4)-16 \log ^2(4)} (-128 x^4+128 x^2 \log (4))}{-8 x+e^{6-48 x^4+96 x^2 \log (4)-48 \log ^2(4)} x-6 e^{4-32 x^4+64 x^2 \log (4)-32 \log ^2(4)} x+12 e^{2-16 x^4+32 x^2 \log (4)-16 \log ^2(4)} x} \, dx\)
  3.79.44 \(\int \frac {e^{-6 e^{8+2 x}} (75 \log ^2(x)-900 e^{8+2 x} x \log ^3(x)+e^{6 e^{8+2 x}} (3 x-3 x \log (x)))}{3 x \log ^2(x)} \, dx\)
  3.79.45 \(\int \frac {4+x}{12+e^3 (-4-2 x)+8 x+x^2+(4+2 x) \log (2+x)} \, dx\)
  3.79.46 \(\int \frac {e^{-\frac {-5-\log (x)}{-5+x}} (120-44 x-12 x^2+e^x (60-62 x+22 x^2-2 x^3)+(4 x+2 e^x x-4 x^2) \log (x))}{25 x^2-10 x^3+x^4} \, dx\)
  3.79.47 \(\int \frac {e^x (-3+3 x)+(-3 e^x x+3 e^x \log (x)) \log (-x+\log (x))+(5 x-2 e^x x+(-5+2 e^x) \log (x)) \log ^2(-x+\log (x))}{(-e^x x+e^x \log (x)) \log ^2(-x+\log (x))} \, dx\)
  3.79.48 \(\int \frac {-6-2 x+e^2 (9 x+20 x^2+5 x^3)+(2+e^2 (-6 x-6 x^2)) \log (4 e^{\frac {-1+e^2 (-x-x^2)}{e^2 x}})+e^2 x \log ^2(4 e^{\frac {-1+e^2 (-x-x^2)}{e^2 x}})}{e^2 x} \, dx\)
  3.79.49 \(\int \frac {e^{-\frac {e^x}{x}} (e^{2 x} (9-9 x)+24 e^x x+24 x^2+(-16 e^x x-16 x^2+e^{2 x} (-12+12 x)) \log (\frac {4}{x^2})+e^{2 x} (4-4 x) \log ^2(\frac {4}{x^2}))}{4 x^3} \, dx\)
  3.79.50 \(\int \frac {-40+27 x^2+20 x^3+5 x^2 \log (4)}{15 x^2} \, dx\)
  3.79.51 \(\int \frac {75+10 e^{3 x}-5 e^{4 x}+e^x (-25-25 x)+(25+e^{4 x} (-5-20 x)+30 e^{2 x} x+e^{3 x} (20+20 x-10 x^2)) \log (x)+(10 e^{2 x} x+3 e^{4 x} x^2-2 e^{6 x} x^2+e^{3 x} (5+15 x)+e^{5 x} (x+x^2-x^3)) \log ^2(x)+(e^{4 x} x^2+e^{5 x} x^2) \log ^3(x)}{25+10 e^{2 x} x \log (x)+e^{4 x} x^2 \log ^2(x)} \, dx\)
  3.79.52 \(\int \frac {18 \log (4+2 x)+e^{e^x} (-12 \log (4+2 x)+e^x (-12-6 x) \log ^2(4+2 x))+e^{2 e^x} (2 \log (4+2 x)+e^x (4+2 x) \log ^2(4+2 x))}{2+x} \, dx\)
  3.79.53 \(\int \frac {-400+9 x^4+(40 x^2+6 x^4) \log (\frac {x}{4})+6 x^4 \log ^2(\frac {x}{4})+2 x^4 \log ^3(\frac {x}{4})+x^4 \log ^4(\frac {x}{4})}{200 x^3} \, dx\)
  3.79.54 \(\int \frac {e^{-9-\log ^2(\frac {1}{16} (4 x^2-\log (x)))} (4 x^2-\log (x))^6 (30-240 x^2+(-10+80 x^2) \log (\frac {1}{16} (4 x^2-\log (x))))}{16777216 (-4 x^3+x \log (x))} \, dx\)
  3.79.55 \(\int \frac {e^{\frac {5 \log (-3+e^4)-3 \log (x)-\log ^2(x)}{\log (-3+e^4)}} (-3-2 \log (x))}{x \log (-3+e^4)} \, dx\)
  3.79.56 \(\int \frac {e^{4-\frac {2 e^4}{x}} (32 e^4+16 e^7+2 e^{10})}{9 x^2} \, dx\)
  3.79.57 \(\int \frac {-2800-1560 x-4260 x^2-1200 x^3+600 x^4-60 x^6-10 x^7+e^3 (720+720 x+1200 x^2+600 x^3-30 x^5-5 x^6)}{-64+96 x-40 x^3+6 x^5+x^6} \, dx\)
  3.79.58 \(\int \frac {600-165 x+554 x^2-168 x^3-6 x^4+3 x^5+(-240+18 x-226 x^2+19 x^3+6 x^4) \log (8+x)+(24+3 x+24 x^2+3 x^3) \log ^2(8+x)}{600 x^2-165 x^3-6 x^4+3 x^5+(-240 x^2+18 x^3+6 x^4) \log (8+x)+(24 x^2+3 x^3) \log ^2(8+x)} \, dx\)
  3.79.59 \(\int \frac {160 x-200 x^2+e^{x/5} (320 x-168 x^2-40 x^3)+(320 x-200 x^2) \log (x)}{16-40 x+25 x^2} \, dx\)
  3.79.60 \(\int \frac {-4+e^{6 x} (5+30 x)+(4-5 e^{6 x}) \log (\frac {5 e^6}{-4+5 e^{6 x}})}{-4+5 e^{6 x}} \, dx\)
  3.79.61 \(\int \frac {-1+\log (x) \log (\log (x))-8 \log (x) \log ^2(\log (x))}{\log (x) \log ^2(\log (x))} \, dx\)
  3.79.62 \(\int \frac {384 x^3+(-576 x^2+352 x^3) \log (9)+(192 x-352 x^2) \log ^2(9)}{e^{32} (7776+71280 x+261360 x^2+479160 x^3+439230 x^4+161051 x^5)} \, dx\)
  3.79.63 \(\int \frac {(256-256 x) \log (8-2 x+x^2)}{8-2 x+x^2} \, dx\)
  3.79.64 \(\int \frac {e^{e^x} (45+x^2+x \log (3)+(3 x^2+2 x \log (3)) \log (2 x))+e^{e^x} (45 e^x x+e^x (x^3+x^2 \log (3)) \log (2 x)) \log (\frac {1}{9} (45 x+(x^3+x^2 \log (3)) \log (2 x)))}{45 x+(x^3+x^2 \log (3)) \log (2 x)} \, dx\)
  3.79.65 \(\int \frac {8 x+13 x^2+4 x^3+(-x^2-x^3) \log (\frac {x}{1+x})}{16+48 x+56 x^2+32 x^3+9 x^4+x^5+(-8 x-16 x^2-10 x^3-2 x^4) \log (\frac {x}{1+x})+(x^2+x^3) \log ^2(\frac {x}{1+x})} \, dx\)
  3.79.66 \(\int \frac {-3 x+e^{5/x} (5+x)+e^x (-x+x^2)-x \log (\frac {x}{3})}{x^3} \, dx\)
  3.79.67 \(\int \frac {6-25 x+(4-10 x) \log (-4+10 x)}{-2+5 x} \, dx\)
  3.79.68 \(\int \frac {e^{-x} (e^8 (-288-144 x)+e^8 (-192-96 x) \log (2)+e^8 (-32-16 x) \log ^2(2))}{7 x^3} \, dx\)
  3.79.69 \(\int e^{80-2 x-x^2} (8-e^{-80+2 x+x^2}+8 x) \, dx\)
  3.79.70 \(\int \frac {1+5 x-6 x^2-2 x^3+4 x^4+e^{2 x} (2 x+4 x^2+2 x^3)+e^x (6 x-6 x^3-2 x^4)+(6 x-2 x^2-6 x^3+e^x (4 x+6 x^2+2 x^3)) \log (\frac {x}{1+x})+(2 x+2 x^2) \log ^2(\frac {x}{1+x})}{1+x} \, dx\)
  3.79.71 \(\int \frac {32768-6144 x-48768 x^2+6136 x^3+30528 x^4-2304 x^5-10216 x^6+384 x^7+1920 x^8-24 x^9-192 x^{10}+8 x^{12}+e^{\frac {e^{2 x}+4096 x^2-512 x^3-4080 x^4+256 x^5+1536 x^6-32 x^7-256 x^8+16 x^{10}+e^x (-128 x+8 x^2+64 x^3-8 x^5)}{4096-512 x-4080 x^2+256 x^3+1536 x^4-32 x^5-256 x^6+16 x^8}} (65536 x-12288 x^2-97536 x^3+12272 x^4+61056 x^5-4608 x^6-20432 x^7+768 x^8+3840 x^9-48 x^{10}-384 x^{11}+16 x^{13}+e^{2 x} (17+15 x-8 x^2-4 x^3+x^4)+e^x (-1024-960 x+128 x^2+1052 x^3+320 x^4-396 x^5-120 x^6+64 x^7+12 x^8-4 x^9))}{65536+20480 x-103680 x^2-36496 x^3+67192 x^4+25920 x^5-22736 x^6-9448 x^7+4224 x^8+1872 x^9-408 x^{10}-192 x^{11}+16 x^{12}+8 x^{13}+e^{\frac {e^{2 x}+4096 x^2-512 x^3-4080 x^4+256 x^5+1536 x^6-32 x^7-256 x^8+16 x^{10}+e^x (-128 x+8 x^2+64 x^3-8 x^5)}{4096-512 x-4080 x^2+256 x^3+1536 x^4-32 x^5-256 x^6+16 x^8}} (32768-6144 x-48768 x^2+6136 x^3+30528 x^4-2304 x^5-10216 x^6+384 x^7+1920 x^8-24 x^9-192 x^{10}+8 x^{12})} \, dx\)
  3.79.72 \(\int \frac {-20 x+20 x^3+4 x^4+e^{3+x} (100 x+500 x^2+825 x^3+520 x^4+150 x^5+20 x^6+x^7)+(60 x+150 x^2+60 x^3+6 x^4+e^{3+x} (-300-1500 x-2475 x^2-1560 x^3-450 x^4-60 x^5-3 x^6)) \log (\frac {2 x+e^{3+x} (-10-25 x-10 x^2-x^3)}{10+25 x+10 x^2+x^3})}{-20 x^5-50 x^6-20 x^7-2 x^8+e^{3+x} (100 x^4+500 x^5+825 x^6+520 x^7+150 x^8+20 x^9+x^{10})} \, dx\)
  3.79.73 \(\int \frac {-4 \log ^2(4 x)+e^{2 e^x} (1+(1-2 e^x x) \log (4 x))}{3 x^2 \log ^2(4 x)} \, dx\)
  3.79.74 \(\int \frac {2-6 x+6 x^2-2 x^3+e^{\frac {36 x^2-36 x^3+9 x^4}{1-2 x+x^2}} (72 x-108 x^2+72 x^3-18 x^4)}{-1+3 x-3 x^2+x^3} \, dx\)
  3.79.75 \(\int \frac {e^{-4 \log ^2(\frac {1}{3} (-15+x^2))} (15-x^2+e^{4 \log ^2(\frac {1}{3} (-15+x^2))} (30 x-2 x^3)+16 x^2 \log (\frac {5 x}{2}) \log (\frac {1}{3} (-15+x^2)))}{-15 x+x^3} \, dx\)
  3.79.76 \(\int \frac {x^2+e^{-x+\frac {-x-e^4 x+\log ^2(4)}{x}} x (-x+x^2+\log ^2(4))+e^{\frac {-x-e^4 x+\log ^2(4)}{x}} (x^2-x \log ^2(4))}{x^2} \, dx\)
  3.79.77 \(\int \frac {(4 x-4 x^3+e (2-4 x^2)) \log (6-x^2+\log (e x+x^2))}{6 x^2-x^4+e (6 x-x^3)+(e x+x^2) \log (e x+x^2)} \, dx\)
  3.79.78 \(\int -\frac {1}{4-4 x+4 \log (\log (4))} \, dx\)
  3.79.79 \(\int \frac {-5-32 e-2 e^{1+x}+3 x+(6+e^{1+x} (-6-2 x)+2 x) \log (3+x)}{3+x} \, dx\)
  3.79.80 \(\int \frac {-300-150 x+55 x^2-x^3+(100-25 x) \log (4-x)}{-300 x-13 x^2+26 x^3-x^4+(100 x-29 x^2+x^3) \log (4-x)} \, dx\)
  3.79.81 \(\int \frac {-10+8 x+12 e^x x+12 x^2+(\frac {-5+4 x+6 e^x x+6 x^2}{x})^x (-5-x+6 x^2-6 x^3+e^x (6 x-6 x^3)+(5 x-4 x^2-6 e^x x^2-6 x^3) \log (\frac {-5+4 x+6 e^x x+6 x^2}{x}))}{-60+48 x+72 e^x x+72 x^2+(\frac {-5+4 x+6 e^x x+6 x^2}{x})^{2 x} (-15+12 x+18 e^x x+18 x^2)+(\frac {-5+4 x+6 e^x x+6 x^2}{x})^x (-60+48 x+72 e^x x+72 x^2)} \, dx\)
  3.79.82 \(\int \frac {120 x^2-120 x \log (\frac {x}{4})+120 x \log ^2(\frac {x}{4})}{4 x^2-4 x^3+x^4+(4 x-2 x^2) \log ^2(\frac {x}{4})+\log ^4(\frac {x}{4})} \, dx\)
  3.79.83 \(\int \frac {-4 x^3-8 e^{4 e^{2 x}+2 x} x^3-2 x^4+e^{2 e^{2 x}} (-2 x^3+e^{2 x} (-16 x^3-8 x^4))+(-32-x^3) \log ^2(2)}{x^3 \log ^2(2)} \, dx\)
  3.79.84 \(\int \frac {-147 x+24 \log ^2(4)+42 x \log (6 x)-3 x \log ^2(6 x)}{49 x \log (4)-14 x \log (4) \log (6 x)+x \log (4) \log ^2(6 x)} \, dx\)
  3.79.85 \(\int -\frac {2 x}{-6-e^5+x^2+2 \log (4)} \, dx\)
  3.79.86 \(\int -\frac {256 e^{e^3+2 x+e \log (5)}}{-243+810 e^{e^3+2 x+e \log (5)}-1080 e^{2 e^3+4 x+2 e \log (5)}+720 e^{3 e^3+6 x+3 e \log (5)}-240 e^{4 e^3+8 x+4 e \log (5)}+32 e^{5 e^3+10 x+5 e \log (5)}} \, dx\)
  3.79.87 \(\int \frac {216-112 x+4 x^2-x^3-2 x^4+x^5+6 x^4 \log (2-x)}{-2 x^4+x^5} \, dx\)
  3.79.88 \(\int \frac {4+2 e^8 x^3 (i \pi +\log (\frac {59}{16}))}{e^8 x^2} \, dx\)
  3.79.89 \(\int \frac {-6 x^2-4 x^3+e^x (6 x^2+4 x^3-x^4)+(-18 x-18 x^2+e^x (18 x+18 x^2-6 x^3)) \log (x)+(-18 x+e^x (18 x-9 x^2)) \log ^2(x)}{9-18 e^x+9 e^{2 x}} \, dx\)
  3.79.90 \(\int \frac {-e^{\frac {1}{-4+4 \log (x)}}+8 x+4 e^x x+(-16 x-8 e^x x) \log (x)+(8 x+4 e^x x) \log ^2(x)}{4 x-8 x \log (x)+4 x \log ^2(x)} \, dx\)
  3.79.91 \(\int \frac {6-9 x^2+12 x^3-15 x^4+15 x^5+(-6+6 x-9 x^2+9 x^3) \log (-1+x)+(-12 x+6 x^2+24 x^3-24 x^4+(12 x-12 x^2) \log (-1+x)) \log ^2(\log (5))+(3-9 x^2+9 x^3+(-3+3 x) \log (-1+x)) \log ^4(\log (5))}{-1+x} \, dx\)
  3.79.92 \(\int (-128+32 x-32 (i \pi +\log (-\frac {-2-\log (4)}{-1+\log (4)}))) \, dx\)
  3.79.93 \(\int \frac {4 \log (5)+(-2 x+5 x^2-2 x^3+e^2 (x^2-2 x^3)) \log (5) \log ^2(\frac {4-4 x+x^2+e^4 x^2+e^2 (-4 x+2 x^2)}{x^2})}{(-2 x+x^2+e^2 x^2) \log ^2(\frac {4-4 x+x^2+e^4 x^2+e^2 (-4 x+2 x^2)}{x^2})} \, dx\)
  3.79.94 \(\int \frac {1}{5} (10+e^{e^{10+x^2}} (-3-6 e^{10+x^2} x^2)) \, dx\)
  3.79.95 \(\int \frac {-16-8 x+9 x^2+(8+6 x-2 x^2) \log (1+x)+(-1-x) \log ^2(1+x)}{16+16 x+(-8-8 x) \log (1+x)+(1+x) \log ^2(1+x)} \, dx\)
  3.79.96 \(\int \frac {e^{3+\frac {1}{6} (60+23 x)} (-6+23 x)}{6 x^2} \, dx\)
  3.79.97 \(\int \frac {-4-2 x+10 x^2+5 x^3+e^x (10 x^2+5 x^3)+(2 x-5 x^2-5 e^4 x^2+5 e^x x^2+5 x^3) \log (\frac {2-5 x-5 e^4 x+5 e^x x+5 x^2}{5 x})}{2 x-5 x^2-5 e^4 x^2+5 e^x x^2+5 x^3} \, dx\)
  3.79.98 \(\int \frac {4 x+x^2-x^3+e^2 (-2 x+x^2)}{4-4 x+4 x^2-x^3+e^2 (4-4 x+x^2)} \, dx\)
  3.79.99 \(\int \frac {1+4 x^2+e^{\frac {84+32 x+4 x^2+(21 x+8 x^2+x^3) \log (x)}{x}} (168-42 x-24 x^2-2 x^3+(-16 x^2-4 x^3) \log (x))}{2 x^2} \, dx\)
  3.79.100 \(\int \frac {x+e^x x+2 x^2+3 x^3+(4+4 x^2) \log ^3(x)+2 x^2 \log ^4(x)}{x} \, dx\)