3.53.1 \(\int \frac {e^{\frac {x^2-2 e^{-48+4 e} x^3+e^{-96+8 e} (x+x^4)}{1-2 e^{-48+4 e} x+e^{-96+8 e} x^2}} (-2 x-2 x^3+e^{-48+4 e} (6 x^2+6 x^4)+e^{-96+8 e} (-x^2-6 x^3-6 x^5)+e^{-144+12 e} (-x^3+2 x^4+2 x^6))}{-16+48 e^{-48+4 e} x-48 e^{-96+8 e} x^2+16 e^{-144+12 e} x^3} \, dx\)
  3.53.2 \(\int \frac {-3 e^{\frac {2 (2 e-2 e^4+2 x-2 x \log (2))}{x}} x+e^{\frac {2 e-2 e^4+2 x-2 x \log (2)}{x}} (-2 e+2 e^4+x)}{x-6 e^{\frac {2 e-2 e^4+2 x-2 x \log (2)}{x}} x+9 e^{\frac {2 (2 e-2 e^4+2 x-2 x \log (2))}{x}} x} \, dx\)
  3.53.3 \(\int \frac {96-9 x}{256 x^3-32 x^4+x^5} \, dx\)
  3.53.4 \(\int 4 e^{4 x} \, dx\)
  3.53.5 \(\int \frac {(-10+e^{4 x} (75+270 x-117 x^2+12 x^3)) \log (x)+(-10+2 x+e^{4 x} (75-30 x+3 x^2)) \log (\frac {e^e (2 x+e^{4 x} (-15 x+3 x^2))}{-5+x})}{-50 x+10 x^2+e^{4 x} (375 x-150 x^2+15 x^3)} \, dx\)
  3.53.6 \(\int \frac {5 x+5 x^2+5 e^x x^2+e^{x^{2/x}} x^{2/x} (10-10 \log (x))}{x^2} \, dx\)
  3.53.7 \(\int \frac {-30 x \log (x^2)+(90+60 x) \log (3+2 x)}{(3 x+2 x^2) \log ^2(3+2 x)} \, dx\)
  3.53.8 \(\int \frac {1250 x^2-2500 x^3+1250 x^4+(625 x^2-2500 x^3+1875 x^4) \log (\frac {6}{5 x^2})+(-2000 x^2+2000 x^3) \log (\frac {6}{5 x^2}) \log (x^2)+(-1000 x^2+1000 x^3+(-500 x^2+1000 x^3) \log (\frac {6}{5 x^2})) \log ^2(x^2)+(-400 x+1200 x^2) \log (\frac {6}{5 x^2}) \log ^3(x^2)+(-100 x+300 x^2+150 x^2 \log (\frac {6}{5 x^2})) \log ^4(x^2)+240 x \log (\frac {6}{5 x^2}) \log ^5(x^2)+40 x \log ^6(x^2)+16 \log (\frac {6}{5 x^2}) \log ^7(x^2)+(2-\log (\frac {6}{5 x^2})) \log ^8(x^2)}{625 x^2 \log ^2(\frac {6}{5 x^2})} \, dx\)
  3.53.9 \(\int \frac {1-5 x-9 x^2-2 x^3+2 x^4+e^{2 x} (1-6 x-2 x^2+2 x^3)+e^x (2-10 x-12 x^2+2 x^3+2 x^4)+(-4 x-6 x^2-3 x^3+e^{2 x} (-3 x-2 x^2)+e^x (-6 x-8 x^2-2 x^3)) \log (x)}{5 x+40 x^2+110 x^3+130 x^4+85 x^5+30 x^6+5 x^7+e^{4 x} (5 x+10 x^2+5 x^3)+e^{3 x} (20 x+60 x^2+60 x^3+20 x^4)+e^{2 x} (30 x+130 x^2+190 x^3+120 x^4+30 x^5)+e^x (20 x+120 x^2+240 x^3+220 x^4+100 x^5+20 x^6)} \, dx\)
  3.53.10 \(\int \frac {e^{\frac {2 (e^4 x+3 \log (4))}{3 e^4}} (3 e^{2 x}+e^x (-15 x+25 x^2))-2 e^{2 x+\frac {2 (e^4 x+3 \log (4))}{3 e^4}} x \log (x)}{75 x^3-30 e^x x^2 \log (x)+3 e^{2 x} x \log ^2(x)} \, dx\)
  3.53.11 \(\int \frac {e^x (125+220 x-90 x^2+100 x^3+e^2 (-10 x+20 x^2))+e^x (125+125 x-20 x^2+10 e^2 x^2+50 x^3) \log (x)}{2500+1200 x+2144 x^2+16 e^4 x^2+480 x^3+400 x^4+e^2 (400 x+96 x^2+160 x^3)+(2500+1200 x+2144 x^2+16 e^4 x^2+480 x^3+400 x^4+e^2 (400 x+96 x^2+160 x^3)) \log (x)+(625+300 x+536 x^2+4 e^4 x^2+120 x^3+100 x^4+e^2 (100 x+24 x^2+40 x^3)) \log ^2(x)} \, dx\)
  3.53.12 \(\int \frac {8 x^2+2 x^6+(-57 x-12 x^5) \log ^2(2)+(90+18 x^4) \log ^4(2)}{x^5-6 x^4 \log ^2(2)+9 x^3 \log ^4(2)} \, dx\)
  3.53.13 \(\int 64 e^{4+2 x^2} x \log ^2(4) \, dx\)
  3.53.14 \(\int \frac {100-20 x-59 x^2+10 x^3+8 x^4}{-80 x^2+16 x^3+16 x^4} \, dx\)
  3.53.15 \(\int \frac {-480+60 x^2+80 x^4+(-60+10 x^2+20 x^4) \log (\frac {1}{2} (6-x^2-2 x^4))}{-384+64 x^2+128 x^4+(-96+16 x^2+32 x^4) \log (\frac {1}{2} (6-x^2-2 x^4))+(-6+x^2+2 x^4) \log ^2(\frac {1}{2} (6-x^2-2 x^4))} \, dx\)
  3.53.16 \(\int \frac {9 x^2+e (-54 x+18 x^2)+(-54 x+18 x^2) \log (3-x)+(108 x-36 x^2) \log (x^2)+(54 x-18 x^2) \log ^2(x^2)}{-3+x} \, dx\)
  3.53.17 \(\int \frac {12 x^3-12 x^4+(-36 x^2+36 x^3) \log (x)+(36 x-36 x^2) \log ^2(x)+(-12+12 x) \log ^3(x)}{16 x-8 x^5+x^9+(32 x^4-8 x^8) \log (x)+(-48 x^3+28 x^7) \log ^2(x)+(32 x^2-56 x^6) \log ^3(x)+(-8 x+70 x^5) \log ^4(x)-56 x^4 \log ^5(x)+28 x^3 \log ^6(x)-8 x^2 \log ^7(x)+x \log ^8(x)} \, dx\)
  3.53.18 \(\int \frac {-12+4 x^2+e^x (-4+4 x)+4 \log (x)}{x^2} \, dx\)
  3.53.19 \(\int \frac {e^{\frac {8427+636 x+12 x^2+x^3}{3 x^2}} (-16854-636 x+x^3)}{3 x^3} \, dx\)
  3.53.20 \(\int \frac {-32+e^{\frac {-1+9 x}{x}}+14 x+64 x^2-16 x^3+(16-4 x-32 x^2+4 x^3) \log (\frac {e^{\frac {1}{2} e^{\frac {-1+9 x}{x}}}}{x})+(-2+4 x^2) \log ^2(\frac {e^{\frac {1}{2} e^{\frac {-1+9 x}{x}}}}{x})}{32 x-8 x^2+(-16 x+2 x^2) \log (\frac {e^{\frac {1}{2} e^{\frac {-1+9 x}{x}}}}{x})+2 x \log ^2(\frac {e^{\frac {1}{2} e^{\frac {-1+9 x}{x}}}}{x})} \, dx\)
  3.53.21 \(\int \frac {4+8 x^4+4 x^8+e^{\frac {11 x+4 x^4+11 x^5}{4+4 x^4}} (11+16 x^3+22 x^4+11 x^8)}{4+8 x^4+4 x^8} \, dx\)
  3.53.22 \(\int \frac {-e^x+e^{x^2+2 x^2 \log ^2(\frac {4}{\log (3)})+x^2 \log ^4(\frac {4}{\log (3)})} (2 x+4 x \log ^2(\frac {4}{\log (3)})+2 x \log ^4(\frac {4}{\log (3)}))}{e^{e^2}-e^x+e^{x^2+2 x^2 \log ^2(\frac {4}{\log (3)})+x^2 \log ^4(\frac {4}{\log (3)})}} \, dx\)
  3.53.23 \(\int \frac {e^{-x} (-132-836 x+648 x^2-96 x^3+4 x^4)}{121-22 x+x^2} \, dx\)
  3.53.24 \(\int \frac {-125+250 x^2+374 x^3}{125 x+187 x^2} \, dx\)
  3.53.25 \(\int 65536 e^{-3-14 x} (3 x^2-14 x^3) \, dx\)
  3.53.26 \(\int \frac {e^{32} (1024+4096 x+4608 x^2+2048 x^3+320 x^4)+(32 x+96 x^2+96 x^3+40 x^4+6 x^5) \log ^2(2)}{\log ^2(2)} \, dx\)
  3.53.27 \(\int \frac {-19-e^6+e^3 (-8-2 x)-9 x-x^2+(20+19 x+5 x^2) \log (5)+(-9 x-2 e^3 x-2 x^2+(19 x+10 x^2) \log (5)) \log (x)}{x} \, dx\)
  3.53.28 \(\int -\frac {4 e^2}{x^3} \, dx\)
  3.53.29 \(\int \frac {12+32 x+2 x^5+15 x^6+16 x^7+e^x (48-16 x+8 x^5+16 x^6+4 x^7)}{x^4} \, dx\)
  3.53.30 \(\int \frac {-200+40 x+3 x^3+2 x^4+e^{-2+x^2} (-x+2 x^3)}{2 x^3} \, dx\)
  3.53.31 \(\int \frac {6 e^3-3 x}{e x^3} \, dx\)
  3.53.32 \(\int \frac {-160-2 x^2+(320-4 x^2) \log (-\frac {x}{-80+x^2})+(-160+2 x^2) \log (-\frac {x}{-80+x^2}) \log (x \log (-\frac {x}{-80+x^2}))}{(240 x-3 x^3) \log (-\frac {x}{-80+x^2})+(-80 x+x^3) \log (-\frac {x}{-80+x^2}) \log (x \log (-\frac {x}{-80+x^2}))} \, dx\)
  3.53.33 \(\int \frac {-2-6 x+2 x \log (x)+e^{e^{x^2}-x} (-93 x+93 x^2-186 e^{x^2} x^3+(31 x-31 x^2+62 e^{x^2} x^3) \log (x))}{-6 x+2 x \log (x)} \, dx\)
  3.53.34 \(\int \frac {e^{e^{\frac {2 (4+x \log (2 x+4 x^2+2 x^3))}{\log (2 x+4 x^2+2 x^3)}}+4 e^{\frac {4+x \log (2 x+4 x^2+2 x^3)}{\log (2 x+4 x^2+2 x^3)}} x+4 x^2} ((8 x^2+8 x^3) \log ^2(2 x+4 x^2+2 x^3)+e^{\frac {2 (4+x \log (2 x+4 x^2+2 x^3))}{\log (2 x+4 x^2+2 x^3)}} (-8-24 x+(2 x+2 x^2) \log ^2(2 x+4 x^2+2 x^3))+e^{\frac {4+x \log (2 x+4 x^2+2 x^3)}{\log (2 x+4 x^2+2 x^3)}} (-16 x-48 x^2+(4 x+8 x^2+4 x^3) \log ^2(2 x+4 x^2+2 x^3)))}{(x+x^2) \log ^2(2 x+4 x^2+2 x^3)} \, dx\)
  3.53.35 \(\int \frac {-115+122 x+26 x^2+15 x^3+3 x^4+(-27 x-36 x^2-6 x^3) \log (x)+(15 x+3 x^2) \log ^2(x)+(-15+12 x+3 x^2) \log (5+x)}{-115 x^2+112 x^3+42 x^4+3 x^5+(115 x-217 x^2-78 x^3-6 x^4) \log (x)+(105 x+36 x^2+3 x^3) \log ^2(x)+(-15 x^2-3 x^3+(15 x+3 x^2) \log (x)) \log (5+x)} \, dx\)
  3.53.36 \(\int \frac {10+x+(-20-2 x) \log (x)-2 x \log (\frac {1}{3} (20+2 x))+(20+2 x) \log ^2(\frac {1}{3} (20+2 x))}{450 x^3+45 x^4} \, dx\)
  3.53.37 \(\int \frac {e^2 (48+32 x+96 x^3+80 x^4+32 x^7)}{\log (\frac {e^{10}}{9})} \, dx\)
  3.53.38 \(\int e^{-x} (e^x+e^{2 e^{-x} (3-15 e^x x)} (-6-30 e^x)) \, dx\)
  3.53.39 \(\int \frac {-x+2 x \log (4 x)+(5-18 x) \log ^2(4 x)}{5 \log (4) \log ^2(4 x)} \, dx\)
  3.53.40 \(\int \frac {1}{5} e^{-e^{24}} (e^5+6 x) \, dx\)
  3.53.41 \(\int \frac {(100-100 x) \log ^2(x)+100 x \log ^3(x)+((200-200 x) \log (x)+100 x \log ^2(x)) \log ^2(\log (4))}{(x-2 x^2+x^3) \log ^2(x)+(2 x-4 x^2+2 x^3) \log (x) \log ^2(\log (4))+(x-2 x^2+x^3) \log ^4(\log (4))} \, dx\)
  3.53.42 \(\int \frac {e^{-1-4 x-x^2} (-2560-11520 x-8960 x^2-3200 x^3+e^{1+4 x+x^2} (320 x^3+1200 x^4+1500 x^5+625 x^6))}{64 x^3+240 x^4+300 x^5+125 x^6} \, dx\)
  3.53.43 \(\int \frac {3+2 x+(-9-12 x+(3+4 x) \log (x)) \log (3-\log (x))}{-6+2 \log (x)} \, dx\)
  3.53.44 \(\int \frac {e^{e^4} (1+x+2 x^2)}{x} \, dx\)
  3.53.45 \(\int \frac {-324+29 x^2+20 x^3+3 x^4+e^8 (-81+2 x^2)+e^4 (-324+14 x^2+4 x^3)}{324 x+72 x^2+29 x^3+10 x^4+x^5+e^8 (81 x+18 x^2+2 x^3)+e^4 (324 x+72 x^2+14 x^3+2 x^4)} \, dx\)
  3.53.46 \(\int \frac {-240 e^2+e^{6 x} (240 x-2 x^3)+e^3 (-240 x+2 x^3)+e^{2 x} (e^2 (720 x-6 x^3)+e (480+4 x^3))+e^{4 x} (-240-4 x^3+e (-720 x+6 x^3))}{e^{\frac {120}{x^2}+6 x} x^6+e^{\frac {120}{x^2}+4 x} (-3 x^5-3 e x^6)+e^{\frac {120}{x^2}+2 x} (3 x^4+6 e x^5+3 e^2 x^6)+e^{\frac {120}{x^2}} (-x^3-3 e x^4-3 e^2 x^5-e^3 x^6)} \, dx\)
  3.53.47 \(\int (-e^x+x^3+4 x^3 \log (x)) \, dx\)
  3.53.48 \(\int \frac {-1+4 x^2+e^{x^2} (-2 x-4 x^3)}{x} \, dx\)
  3.53.49 \(\int \frac {-6-6 e^x+(2+2 e^x) \log (x)+e^{\frac {1}{2} (9+12 \log (e^3 x+e^{3+x} x)+4 \log ^2(e^3 x+e^{3+x} x))} (96+e^x (96+96 x)+(64+e^x (64+64 x)) \log (e^3 x+e^{3+x} x))+e^{\frac {1}{4} (9+12 \log (e^3 x+e^{3+x} x)+4 \log ^2(e^3 x+e^{3+x} x))} (64+e^x (64+72 x)+(-24+e^x (-24-24 x)) \log (x)+(48+e^x (48+48 x)+(-16+e^x (-16-16 x)) \log (x)) \log (e^3 x+e^{3+x} x))}{x+e^x x} \, dx\)
  3.53.50 \(\int \frac {-9+6 x^2 \log (4 x)+3 x^2 \log ^2(4 x)+12 \log (e^{10} x)}{1+2 x+x^2+(-2 x^2-2 x^3) \log ^2(4 x)+x^4 \log ^4(4 x)+(8+8 x-8 x^2 \log ^2(4 x)) \log (e^{10} x)+16 \log ^2(e^{10} x)} \, dx\)
  3.53.51 \(\int \frac {-\log ^2(x)+e^{e^{\frac {x+(-8 x-4 x^2-4 \log (4)) \log (x)}{\log (x)}}+\frac {x+(-8 x-4 x^2-4 \log (4)) \log (x)}{\log (x)}} (4-4 \log (x)+(32+32 x) \log ^2(x))}{4 \log ^2(x)} \, dx\)
  3.53.52 \(\int \frac {4^{-5+e^{5 e x}} (e^{-\frac {-5+x^2}{x}})^{-5+e^{5 e x}} (25+5 x^2+e^{5 e x} (-5-x^2)+5 e^{1+5 e x} x^2 \log (4 e^{-\frac {-5+x^2}{x}}))}{x^2} \, dx\)
  3.53.53 \(\int (1+e^{e^{\frac {1}{2} (20+x^2)}-x+x^2} (1-2 x-e^{\frac {1}{2} (20+x^2)} x)) \, dx\)
  3.53.54 \(\int \frac {6 e^2+e^{\frac {1}{3} (1+4 x)} (100-80 x+16 x^2)}{75-60 x+12 x^2} \, dx\)
  3.53.55 \(\int \frac {e^{e^{\frac {153-24 x+x^2-120 x^3+10 x^4+25 x^6+e^{10} (17-16 x+4 x^2)+e^5 (-102+56 x-4 x^2+40 x^3-20 x^4)}{9 x-6 e^5 x+e^{10} x}}+\frac {153-24 x+x^2-120 x^3+10 x^4+25 x^6+e^{10} (17-16 x+4 x^2)+e^5 (-102+56 x-4 x^2+40 x^3-20 x^4)}{9 x-6 e^5 x+e^{10} x}} (-153+x^2-240 x^3+30 x^4+125 x^6+e^{10} (-17+4 x^2)+e^5 (102-4 x^2+80 x^3-60 x^4))}{9 x^2-6 e^5 x^2+e^{10} x^2} \, dx\)
  3.53.56 \(\int (-45+4 \log (x)+16 \log (\log (4))) \, dx\)
  3.53.57 \(\int \frac {e^{\log (5-e^{x+x^2}) \log (-\frac {x}{4})} ((-5+e^{x+x^2}) \log (5-e^{x+x^2})+e^{x+x^2} (x+2 x^2) \log (-\frac {x}{4}))}{-5 x+e^{x+x^2} x} \, dx\)
  3.53.58 \(\int \frac {e^{e^3+x-\log ^2(\frac {1}{2} (x+2 \log (4)))} (x+2 \log (4)-2 \log (\frac {1}{2} (x+2 \log (4))))}{x+2 \log (4)} \, dx\)
  3.53.59 \(\int \frac {-x-625 x^5-\log (2)+(2500 x^5-\log (2)) \log (5 x)}{x^2 \log ^2(5 x)} \, dx\)
  3.53.60 \(\int \frac {-15 e^x+6 e^{2 x} x}{50+e^x (45-20 e^2+20 x^2)+e^{2 x} (9+2 e^4+9 x^2+2 x^4+e^2 (-9-4 x^2))+(-20 e^x+e^{2 x} (-9+4 e^2-4 x^2)) \log (\log (4))+2 e^{2 x} \log ^2(\log (4))} \, dx\)
  3.53.61 \(\int \frac {e^{\frac {50 e^6 x^2+20 e^7 x^2+2 e^8 x^2}{x^2+e^3 (40 x-40 x^2)+e^8 (16-32 x+16 x^2)+e^6 (400-800 x+400 x^2)+e^{2 x} (25 e^6 x^2+10 e^7 x^2+e^8 x^2)+e^4 (8 x-8 x^2+e^3 (160-320 x+160 x^2))+e^x (-10 e^3 x^2+e^8 (-8 x+8 x^2)+e^6 (-200 x+200 x^2)+e^4 (-2 x^2+e^3 (-80 x+80 x^2)))}} (-2000 e^9 x-1200 e^{10} x-240 e^{11} x-16 e^{12} x+e^x (-500 e^9 x^3-300 e^{10} x^3-60 e^{11} x^3-4 e^{12} x^3))}{-x^3+e^6 (-1200 x+2400 x^2-1200 x^3)+e^3 (-60 x^2+60 x^3)+e^{12} (-64+192 x-192 x^2+64 x^3)+e^9 (-8000+24000 x-24000 x^2+8000 x^3)+e^{3 x} (125 e^9 x^3+75 e^{10} x^3+15 e^{11} x^3+e^{12} x^3)+e^8 (-48 x+96 x^2-48 x^3+e^3 (-960+2880 x-2880 x^2+960 x^3))+e^4 (-12 x^2+12 x^3+e^3 (-480 x+960 x^2-480 x^3)+e^6 (-4800+14400 x-14400 x^2+4800 x^3))+e^{2 x} (-75 e^6 x^3+e^{12} (-12 x^2+12 x^3)+e^9 (-1500 x^2+1500 x^3)+e^8 (-3 x^3+e^3 (-180 x^2+180 x^3))+e^4 (-30 e^3 x^3+e^6 (-900 x^2+900 x^3)))+e^x (15 e^3 x^3+e^6 (600 x^2-600 x^3)+e^{12} (48 x-96 x^2+48 x^3)+e^9 (6000 x-12000 x^2+6000 x^3)+e^8 (24 x^2-24 x^3+e^3 (720 x-1440 x^2+720 x^3))+e^4 (3 x^3+e^3 (240 x^2-240 x^3)+e^6 (3600 x-7200 x^2+3600 x^3)))} \, dx\)
  3.53.62 \(\int \frac {-125 x^4-75 e^{x^2} x^4-15 e^{2 x^2} x^4-e^{3 x^2} x^4+(250 x^3+250 x^4+e^{3 x^2} (2 x^3+2 x^4)+e^{2 x^2} (30 x^3+30 x^4)+e^{x^2} (150 x^3+150 x^4)) \log (1+x)+(625+625 x-9650 x^2-9650 x^3+e^{3 x^2} (-85 x^2-85 x^3)+e^{x^2} (125+125 x-5480 x^2-3680 x^3+1420 x^4-380 x^5)+e^{2 x^2} (-1235 x^2-835 x^3+320 x^4-80 x^5)) \log ^2(1+x)}{(625 x^2+625 x^3+e^{3 x^2} (5 x^2+5 x^3)+e^{2 x^2} (75 x^2+75 x^3)+e^{x^2} (375 x^2+375 x^3)) \log ^2(1+x)} \, dx\)
  3.53.63 \(\int \frac {(-16-2 x) \log ^2(x)+(16 x+2 x^2+2 x^3) \log (\frac {8+x}{4})+\log (x) (16+2 x+2 x^2+(-16 x-2 x^2) \log (\frac {8+x}{4}))}{8 x^3+x^4} \, dx\)
  3.53.64 \(\int \frac {-1000 x^2-600 x^3-620 x^4-308 x^5-60 x^6-4 x^7+(40 x-1192 x^2-660 x^3-1124 x^4-608 x^5-120 x^6-8 x^7+(20 x-96 x^2-30 x^3-2 x^4) \log (2)) \log (5)+(8 x-200 x^2-60 x^3-504 x^4-300 x^5-60 x^6-4 x^7+(8 x-100 x^2-30 x^3-2 x^4) \log (2)+2 x \log ^2(2)) \log ^2(5)+((-80-16 x-40 x^2-8 x^3+(-40-8 x-20 x^2-4 x^3) \log (2)) \log (5)+(-16-40 x^2-8 x^3+(-16-20 x^2-4 x^3) \log (2)-4 \log ^2(2)) \log ^2(5)) \log (x)+(600 x^2+240 x^3+324 x^4+120 x^5+12 x^6+(-8 x+680 x^2+252 x^3+624 x^4+240 x^5+24 x^6+(-4 x+40 x^2+6 x^3) \log (2)) \log (5)+(80 x^2+12 x^3+300 x^4+120 x^5+12 x^6+(40 x^2+6 x^3) \log (2)) \log ^2(5)) \log ^2(x)+((16+8 x^2+(8+4 x^2) \log (2)) \log (5)+(8 x^2+4 x^2 \log (2)) \log ^2(5)) \log ^3(x)+(-120 x^2-24 x^3-60 x^4-12 x^5+(-128 x^2-24 x^3-120 x^4-24 x^5-4 x^2 \log (2)) \log (5)+(-8 x^2-60 x^4-12 x^5-4 x^2 \log (2)) \log ^2(5)) \log ^4(x)+(8 x^2+4 x^4+(8 x^2+8 x^4) \log (5)+4 x^4 \log ^2(5)) \log ^6(x)}{-125 x-75 x^2-15 x^3-x^4+(75 x+30 x^2+3 x^3) \log ^2(x)+(-15 x-3 x^2) \log ^4(x)+x \log ^6(x)} \, dx\)
  3.53.65 \(\int \frac {36-e^{3 x} x+12 \log (2)+\log ^2(2)+e^{2 x} (1-12 x-2 x \log (2))+e^x (12-32 x+(2-12 x) \log (2)-x \log ^2(2))+(72+2 e^{2 x}+24 \log (2)+2 \log ^2(2)+e^x (24+4 \log (2))) \log (x)}{36 x+e^{2 x} x+12 x \log (2)+x \log ^2(2)+e^x (12 x+2 x \log (2))} \, dx\)
  3.53.66 \(\int \frac {e^{-e^5} (e^{e^5} x+(8 x+e^{e^5} (1-3 x^2)) \log (x)+2 e^{e^5} x \log (x) \log (\log (x)))}{\log (x)} \, dx\)
  3.53.67 \(\int \frac {-36+320 x \log (25)-575 x^2 \log ^2(25)+(8-80 x \log (25)+150 x^2 \log ^2(25)) \log (x)+(-28+280 x \log (25)-525 x^2 \log ^2(25)+(8-80 x \log (25)+150 x^2 \log ^2(25)) \log (x)) \log (\frac {1}{2} (-7+2 \log (x)))}{-7+2 \log (x)+(-14+4 \log (x)) \log (\frac {1}{2} (-7+2 \log (x)))+(-7+2 \log (x)) \log ^2(\frac {1}{2} (-7+2 \log (x)))} \, dx\)
  3.53.68 \(\int \frac {e^x (4 x-4 x^2)}{625 e^{3 x}-1875 e^{2 x} x+1875 e^x x^2-625 x^3} \, dx\)
  3.53.69 \(\int \frac {e^{-x-e^{-x} x} (-4 x^3+4 x^4+e^{e^x+e^{-x} x} (-2 e^x+e^{2 x} x)+e^{x+e^{-x} x} (-x-2 \log (5)))}{4 x^3} \, dx\)
  3.53.70 \(\int \frac {25+150 x-25 x^2+e^{2 e^{-4+x}+2 x} (9-4 x+2 x^2+e^{-4+x} (8-2 x+2 x^2))}{625+e^{4 e^{-4+x}+4 x}+1250 x^2+625 x^4+e^{2 e^{-4+x}+2 x} (50+50 x^2)} \, dx\)
  3.53.71 \(\int 10 e^{e^{2 x}+2 x} \, dx\)
  3.53.72 \(\int \frac {2 x^2+24 x^5 \log ^4(4)-16 x^9 \log ^8(4)+e^{25 x^2} (2-100 x^2-24 x^3 \log ^4(4)+16 x^7 \log ^8(4))+(8 e^{25 x^2} x^4 \log ^4(4)-8 x^6 \log ^4(4)) \log (\frac {e^{25 x^2}-x^2}{x})+(e^{25 x^2} x-x^3) \log ^2(\frac {e^{25 x^2}-x^2}{x})}{16 e^{25 x^2} x^7 \log ^8(4)-16 x^9 \log ^8(4)+(8 e^{25 x^2} x^4 \log ^4(4)-8 x^6 \log ^4(4)) \log (\frac {e^{25 x^2}-x^2}{x})+(e^{25 x^2} x-x^3) \log ^2(\frac {e^{25 x^2}-x^2}{x})} \, dx\)
  3.53.73 \(\int \frac {-15-5 x^2+e^{4 e^2-2 x} (-10 x-2 x^3)}{5 x+x^3} \, dx\)
  3.53.74 \(\int \frac {-10 x^2-2 x^3+e^{4/x} (20+23 x+4 x^2)}{10 x^5} \, dx\)
  3.53.75 \(\int \frac {-64+64 x-16 x^2+e^x (-32+64 x-16 x^2)}{4 x^2-4 x^3+x^4} \, dx\)
  3.53.76 \(\int e^{-e^{9 x^4}-x} (2 x-x^2-36 e^{9 x^4} x^5+e^{e^{9 x^4}} (-4 x+2 x^2)) \, dx\)
  3.53.77 \(\int \frac {18+11 e^x}{15+5 e^x} \, dx\)
  3.53.78 \(\int \frac {6 x+4 x^2+(-6-4 x) \log (\frac {1}{-4-8 x+(1+2 x) \log (8)})}{1+2 x} \, dx\)
  3.53.79 \(\int (-6 x^2+e^{e^{5+x^2}-x+2 e^{e^{5+x^2}-x} x} (2-2 x+4 e^{5+x^2} x^2)+e^x (3 x^2+x^3)) \, dx\)
  3.53.80 \(\int \frac {2+x-2 \log (x)}{(2 x+x^2) \log (x)} \, dx\)
  3.53.81 \(\int \frac {1+e^{-8+12 e^5+4 x^2} (-x+32 x^2-8 x^3)}{x} \, dx\)
  3.53.82 \(\int \frac {-192-672 x-912 x^2-600 x^3-192 x^4-24 x^5+e^x (-12-30 x-18 x^2)+(96+144 x+72 x^2+12 x^3+e^x (6+3 x)) \log (\frac {e^{-2 x} (6400+25 e^{2 x}+12800 x+9600 x^2+3200 x^3+400 x^4+e^x (800+800 x+200 x^2))}{16 x^2+32 x^3+24 x^4+8 x^5+x^6})}{160+560 x+760 x^2+500 x^3+160 x^4+20 x^5+e^x (10+25 x+20 x^2+5 x^3)} \, dx\)
  3.53.83 \(\int \frac {4}{(5-20 x+(-1+4 x) \log (5-20 x)) \log (-20+4 \log (5-20 x))} \, dx\)
  3.53.84 \(\int \frac {10-2 x^3-5 \log (x)}{x^2} \, dx\)
  3.53.85 \(\int \frac {(20 x^2-4 x^4) \log (5-x^2)+(-10 x^3+2 x^5) \log (5-x^2) \log (\log (5-x^2))+\sqrt {2-x \log (\log (5-x^2))} (2 x^3+(-20+4 x^2) \log (5-x^2)+(5 x-x^3) \log (5-x^2) \log (\log (5-x^2)))}{(20 x^2-4 x^4) \log (5-x^2)+(-10 x^3+2 x^5) \log (5-x^2) \log (\log (5-x^2))} \, dx\)
  3.53.86 \(\int \frac {e^x (-x-x^2)+4 e^{5 x} x \log ^3(1+x)+e^{5 x} (4 x+4 x^2) \log ^4(1+x)+(e^x (-x-x^2)+e^{5 x} (1+x) \log ^4(1+x)) \log (\frac {1}{3} (2 x-2 e^{4 x} \log ^4(1+x)))+(e^x (-x^2-x^3)+e^{5 x} (x+x^2) \log ^4(1+x)) \log (\frac {1}{3} (2 x-2 e^{4 x} \log ^4(1+x))) \log (x \log (\frac {1}{3} (2 x-2 e^{4 x} \log ^4(1+x))))}{(-x^2-x^3+e^{4 x} (x+x^2) \log ^4(1+x)) \log (\frac {1}{3} (2 x-2 e^{4 x} \log ^4(1+x)))} \, dx\)
  3.53.87 \(\int \frac {2^{\frac {-125-25 x^2 \log (x)}{-2+x}} (x^2)^{\frac {-125-25 x^2 \log (x)}{-2+x}} (500-250 x+(100 x^2-50 x^3) \log (x)+(125 x+50 x^2-25 x^3+(100 x^2-25 x^3) \log (x)) \log (2 x^2))}{4 x-4 x^2+x^3} \, dx\)
  3.53.88 \(\int \frac {25+9 x^3-21 x^4+e^{2 x} (x^2-2 x^3-2 x^4)+(-25+14 x^3+e^{2 x} (x^2+2 x^3)) \log (x)}{x^2} \, dx\)
  3.53.89 \(\int \frac {6+9 x-12 x^2+e^4 (-12+12 x)+e^{2 x} (-2-7 x+6 x^2)+(3 e^4-3 x+e^{2 x} x) \log (\frac {1}{3} (15 e^4-15 x+5 e^{2 x} x))}{12 x^2-6 x^3+e^4 (-12 x+6 x^2)+e^{2 x} (-4 x^2+2 x^3)+(6 x-3 x^2+e^4 (-6+3 x)+e^{2 x} (-2 x+x^2)) \log (\frac {1}{3} (15 e^4-15 x+5 e^{2 x} x))} \, dx\)
  3.53.90 \(\int (8-4 e^{2 e}-14 x-32 e^e x-48 x^2) \, dx\)
  3.53.91 \(\int \frac {1+3 \log (\log (3))}{\log (\log (3))} \, dx\)
  3.53.92 \(\int \frac {4-x^2+(4-4 x+x^2+x^3) \log (\frac {x}{3})}{(-4 x+x^3) \log (\frac {x}{3})} \, dx\)
  3.53.93 \(\int \frac {e^{162-36 x+2 x^2} (-17 x^2+180 x^3-20 x^4+e^x (-24 x+350 x^2-40 x^3))+e^{162-36 x+2 x^2} (3 x^2-36 x^3+4 x^4+e^x (4 x-70 x^2+8 x^3)) \log (x)}{-125+75 \log (x)-15 \log ^2(x)+\log ^3(x)} \, dx\)
  3.53.94 \(\int \frac {-24 x^3 \log (20)+e^x (x^3-2 x^4) \log (20)}{-2641807540224 e^2+990677827584 e^{2+x}-165112971264 e^{2+2 x}+16052649984 e^{2+3 x}-1003290624 e^{2+4 x}+41803776 e^{2+5 x}-1161216 e^{2+6 x}+20736 e^{2+7 x}-216 e^{2+8 x}+e^{2+9 x}} \, dx\)
  3.53.95 \(\int (-25+e^{e^{-x+x^2}} (-5+e^{-x+x^2} (-10+25 x-10 x^2))) \, dx\)
  3.53.96 \(\int \frac {11+12 x^2}{4 x^2} \, dx\)
  3.53.97 \(\int \frac {(-12 x^2-2 e^x x^2) \log (x)+2 x^2 \log (x) \log (\frac {3}{x \log (x)})+\frac {e^{9+\log ^2(6+e^x-\log (\frac {3}{x \log (x)}))} (6+(6+6 e^x x) \log (x)+(-2+(-2-2 e^x x) \log (x)) \log (6+e^x-\log (\frac {3}{x \log (x)})))}{(6+e^x-\log (\frac {3}{x \log (x)}))^6}}{(-6 x-e^x x) \log (x)+x \log (x) \log (\frac {3}{x \log (x)})} \, dx\)
  3.53.98 \(\int \frac {-7-3 x-90 x^2-\log (x)}{125 x^2+75 x^3+1365 x^4+541 x^5+4914 x^6+972 x^7+5832 x^8+(75 x^2+30 x^3+543 x^4+108 x^5+972 x^6) \log (x)+(15 x^2+3 x^3+54 x^4) \log ^2(x)+x^2 \log ^3(x)} \, dx\)
  3.53.99 \(\int \frac {-1-x \log (x)+(2-x \log ^2(x)) \log (\log (x))+(-1+x \log ^2(x)) \log ^2(\log (x))}{x \log ^2(x)-2 x \log ^2(x) \log (\log (x))+x \log ^2(x) \log ^2(\log (x))} \, dx\)
  3.53.100 \(\int e^{-x} (e^x+e^{e^{-x} x} (3-3 x)) \, dx\)