3.54 Integrals 5301 to 5400

  3.54.1 \(\int \frac {e^{e^{e^{\frac {x^3}{\log (3-i \pi +x-\log (\frac {23}{3}))}}}+e^{\frac {x^3}{\log (3-i \pi +x-\log (\frac {23}{3}))}}+\frac {x^3}{\log (3-i \pi +x-\log (\frac {23}{3}))}} (x^3+(-9 x^2-3 x^3+3 x^2 (i \pi +\log (\frac {23}{3}))) \log (3-i \pi +x-\log (\frac {23}{3})))}{(-3+i \pi -x+\log (\frac {23}{3})) \log ^2(3-i \pi +x-\log (\frac {23}{3}))} \, dx\)
  3.54.2 \(\int \frac {e^{5-2 x+x^2-4 x^3} (-4-8 x+8 x^2-48 x^3)}{x^2} \, dx\)
  3.54.3 \(\int \frac {81-\log (x)+e^{-5+x \log (\frac {81-\log (x)}{x})} (82-\log (x)+(-81+\log (x)) \log (\frac {81-\log (x)}{x}))}{\log (4+e^{-5+x \log (\frac {81-\log (x)}{x})}-x) (-1296+324 x+(16-4 x) \log (x)+e^{-5+x \log (\frac {81-\log (x)}{x})} (-324+4 \log (x)))} \, dx\)
  3.54.4 \(\int \frac {(-8+2 x) \log (2)+4 \log (2) \log (\frac {8}{x^2})+(5 x^2-5 x^2 \log (2)) \log ^2(\frac {8}{x^2})}{5 x^2 \log (2) \log ^2(\frac {8}{x^2})} \, dx\)
  3.54.5 \(\int \frac {1}{2} (-1-80 e^{2 x}) \, dx\)
  3.54.6 \(\int \frac {-4-16 e^{16}+(-4-16 e^{16}+16 x) \log (\frac {1}{4} (-1-4 e^{16}+4 x))}{x^2+4 e^{16} x^2-4 x^3} \, dx\)
  3.54.7 \(\int \frac {e^{e^{\frac {3}{81+108 e+54 e^2+12 e^3+e^4+(-12-4 e) e^{12+3 x^2}+e^{16+4 x^2}+e^{8+2 x^2} (54+36 e+6 e^2)+e^{4+x^2} (-108-108 e-36 e^2-4 e^3)}}} (-243-405 e-270 e^2-90 e^3-15 e^4-e^5+(-15-5 e) e^{16+4 x^2}+e^{20+5 x^2}+e^{12+3 x^2} (90+60 e+10 e^2)+e^{8+2 x^2} (-270-270 e-90 e^2-10 e^3)+e^{4+x^2} (405+540 e+270 e^2+60 e^3+5 e^4)-24 e^{4+\frac {3}{81+108 e+54 e^2+12 e^3+e^4+(-12-4 e) e^{12+3 x^2}+e^{16+4 x^2}+e^{8+2 x^2} (54+36 e+6 e^2)+e^{4+x^2} (-108-108 e-36 e^2-4 e^3)}+x^2} x^2)}{-243-405 e-270 e^2-90 e^3-15 e^4-e^5+(-15-5 e) e^{16+4 x^2}+e^{20+5 x^2}+e^{12+3 x^2} (90+60 e+10 e^2)+e^{8+2 x^2} (-270-270 e-90 e^2-10 e^3)+e^{4+x^2} (405+540 e+270 e^2+60 e^3+5 e^4)} \, dx\)
  3.54.8 \(\int \frac {e^x (-54+\sqrt {e} (6-6 x)+66 x+12 x^2-6 x^3+(-36+36 x) \log (2)+(-6+6 x) \log ^2(2))}{81 x^2+e x^2-18 x^3-17 x^4+2 x^5+x^6+\sqrt {e} (-18 x^2+2 x^3+2 x^4)+(108 x^2-12 \sqrt {e} x^2-12 x^3-12 x^4) \log (2)+(54 x^2-2 \sqrt {e} x^2-2 x^3-2 x^4) \log ^2(2)+12 x^2 \log ^3(2)+x^2 \log ^4(2)} \, dx\)
  3.54.9 \(\int \frac {-72 x-36 x^2}{1+2 x+2 x^2+x^3} \, dx\)
  3.54.10 \(\int \frac {5+2 x}{4+5 x+x^2} \, dx\)
  3.54.11 \(\int \frac {-12 x+60 e^x x^3+e^{e^3 x} (2-e^3 x)}{60 x^3} \, dx\)
  3.54.12 \(\int \frac {x^3+4 \log (3)}{x^3 \log (3)} \, dx\)
  3.54.13 \(\int \frac {-2 e^{3+x}+(e^x (-1+e^3 (4 x+4 x^2))-e^x x \log (x)) \log (x^2)-e^{3+x} x \log (x^2) \log (\log (x^2))}{x \log (x^2)} \, dx\)
  3.54.14 \(\int \frac {1-e^{e^{20}}-x^2-\log (x)}{e^{2 e^{20}}+4 x^2-4 x^3+x^4+e^{e^{20}} (4 x-2 x^2)+(2 e^{e^{20}}+4 x-2 x^2) \log (x)+\log ^2(x)} \, dx\)
  3.54.15 \(\int \frac {8 x-12 x^2+4 x^3}{e+4 x^2-4 x^3+x^4} \, dx\)
  3.54.16 \(\int \frac {78125+78125 x^3+e^3 (-15625-15625 x^3)+(-234375 x^3+46875 e^3 x^3) \log (\frac {x}{2})}{x+2 x^4+x^7} \, dx\)
  3.54.17 \(\int \frac {-4 x^4-2 x^5+(4 x^2+4 x^3+2 x^4+2 x^5) \log (2+x^2)+(4 x^2+4 x^3+2 x^4+2 x^5+e^x (-4+4 x+2 x^3+x^4)) \log ^2(2+x^2)}{(2 x^2+x^4) \log ^2(2+x^2)} \, dx\)
  3.54.18 \(\int \frac {-8-36 x-48 x^2-16 x^3+(-12-24 x) \log (x)+(6+24 x) \log ^2(x)}{16+80 x+132 x^2+80 x^3+16 x^4+(-16 x-72 x^2-96 x^3-32 x^4) \log (x)+(-24-60 x-20 x^2+16 x^3+16 x^4) \log ^2(x)+(12 x+24 x^2) \log ^3(x)+9 \log ^4(x)} \, dx\)
  3.54.19 \(\int \frac {-74+762 x-1320 x^2+754 x^3-132 x^4-12 x^5+4 x^6}{-8176-6428 x-120 x^2-1516 x^3+424 x^4+24 x^5-32 x^6+4 x^7+(-2044-1607 x-30 x^2-379 x^3+106 x^4+6 x^5-8 x^6+x^7) \log (\frac {511+274 x-61 x^2+110 x^3-54 x^4+12 x^5-x^6}{64+32 x+4 x^2})} \, dx\)
  3.54.20 \(\int \frac {1}{2} (-2+e^{x^3+e^{x^2} x^3} (3 x^2+e^{x^2} (3 x^2+2 x^4))) \, dx\)
  3.54.21 \(\int \frac {5 x^3+e^x (-2+x) \log (\log (5))}{5 x^3} \, dx\)
  3.54.22 \(\int \frac {e^{-3+x} x (x^2+(-5-5 x) \log ^2(3)+(1+x) (i \pi +\log (3)))}{x^3+25 x \log ^4(3)+2 x^2 (i \pi +\log (3))+x (i \pi +\log (3))^2+\log ^2(3) (-10 x^2-10 x (i \pi +\log (3)))} \, dx\)
  3.54.23 \(\int \frac {-40-392 x+320 x \log (2 x)}{x+16 x^2+64 x^3} \, dx\)
  3.54.24 \(\int \frac {-4+e^{7-2 x^2-x \log (9)} (784 x+448 x^2+64 x^3+(196+112 x+16 x^2) \log (9))}{49+28 x+4 x^2} \, dx\)
  3.54.25 \(\int \frac {-8+406 x+78 x^2-6 x^3+(8 x+2 x^2) \log (e^{x^2} x)+(2-102 x+6 x^2-2 x \log (e^{x^2} x)) \log (-50+x-\log (e^{x^2} x))}{50 x-x^2+x \log (e^{x^2} x)} \, dx\)
  3.54.26 \(\int \frac {1}{3} (60+40 x+e^{3-e-x^2} (-20+40 x^2)) \, dx\)
  3.54.27 \(\int \frac {16^{-e^x-x} e^{16^{-e^x-x} (5-x)^{e^x+x}} (5-x)^{e^x+x} (e^x+x+(-5+e^x (-5+x)+x) \log (\frac {5-x}{16}))}{-5+x} \, dx\)
  3.54.28 \(\int \frac {24 x+16 e^4 x^{15}}{e^4} \, dx\)
  3.54.29 \(\int \frac {-1+(1+2 x+48 x^2) \log (x)-2 x \log ^2(x)-2 x \log ^3(x)+\log (x) \log (\frac {2 x}{\log (x)})}{\log (x)} \, dx\)
  3.54.30 \(\int \frac {e^{2 e^{2 x}+\frac {e^{2 e^{2 x}+x+\frac {8}{1+x}}}{x}+\frac {8}{1+x}} (e^x (-1-9 x+x^2+x^3)+e^{3 x} (4 x+8 x^2+4 x^3))}{x^2+2 x^3+x^4} \, dx\)
  3.54.31 \(\int \frac {1}{3} e^{\frac {1}{3} (8-10 x-3 x^2+e (4+x))} (-10+e-6 x) \, dx\)
  3.54.32 \(\int \frac {e^x (x-x^2)+e^{e^x} (200 e^{4 x}+600 e^{3 x} x+600 e^{2 x} x^2+200 e^x x^3)}{200 e^{3 x}+600 e^{2 x} x+600 e^x x^2+200 x^3} \, dx\)
  3.54.33 \(\int \frac {1344 x-592 x^2+64 x^3+e^x (48-48 x+12 x^2)+e^x (-252+300 x-111 x^2+12 x^3) \log (\frac {1}{4} (21-4 x))}{-252+300 x-111 x^2+12 x^3} \, dx\)
  3.54.34 \(\int \frac {-7 x-2 x^2+3 e^3 x^3}{x} \, dx\)
  3.54.35 \(\int \frac {-20-6 x-2 x^2-5 \log (\frac {4 e^{x^2}}{x})-5 \log (x)+(4+x+\log (\frac {4 e^{x^2}}{x})+\log (x)) \log (4+x+\log (\frac {4 e^{x^2}}{x})+\log (x))}{4 x^2+x^3+x^2 \log (\frac {4 e^{x^2}}{x})+x^2 \log (x)} \, dx\)
  3.54.36 \(\int \frac {e^4 (-8-2 e^{4+e^3}) (8+2 e^{4+e^3}-x)}{2 (8 x^2+2 e^{4+e^3} x^2-x^3)} \, dx\)
  3.54.37 \(\int \frac {1}{5} e^{e^{-e^4} (1+2 e^{e^4})+x} (10+4 x+2 x^2) \, dx\)
  3.54.38 \(\int \frac {e^{-14+\frac {4}{11 x}+\frac {3}{1+x}} (-4+14 x+7 x^2+22 x^3)}{22+44 x+22 x^2} \, dx\)
  3.54.39 \(\int \frac {1}{9} (5+2 i \pi +2 x+27 x^2+e^x (18 x+9 x^2)) \, dx\)
  3.54.40 \(\int \frac {e^{\frac {4-2 \log (\frac {x^2-\log (4)+\log (x)}{6+x})}{\log (\frac {x^2-\log (4)+\log (x)}{6+x})}} (-24-4 x-48 x^2-4 x^3-4 x \log (4)+4 x \log (x))}{(6 x^3+x^4+(-6 x-x^2) \log (4)+(6 x+x^2) \log (x)) \log ^2(\frac {x^2-\log (4)+\log (x)}{6+x})} \, dx\)
  3.54.41 \(\int (-1-3 x^2) \, dx\)
  3.54.42 \(\int \frac {4-e^3}{x^2} \, dx\)
  3.54.43 \(\int \frac {-3+4 x^4-4 e^{-1+x} x^4}{4 x^4} \, dx\)
  3.54.44 \(\int \frac {e^{\frac {e^x (i \pi +\log (\frac {13}{6}))-x (i \pi +\log (\frac {13}{6}))}{x^6}} (e^x (-6+x) (i \pi +\log (\frac {13}{6}))+5 x (i \pi +\log (\frac {13}{6})))}{x^7} \, dx\)
  3.54.45 \(\int -\frac {18}{e^5+e^2 (-5-2 x)} \, dx\)
  3.54.46 \(\int \frac {e^{-2 e^{\frac {x^2+\log (x)}{4 \log (2)}}} (e^{\frac {x^2+\log (x)}{4 \log (2)}} (-x-2 x^3) \log (4)+4 x \log (2) \log (4))}{2 \log (2)} \, dx\)
  3.54.47 \(\int \frac {20 x^4-10 x^5+e^{e^x} (e^{2 x} (-16 x^3+8 x^4-x^5)+e^x (48 x^2-40 x^3+11 x^4-x^5))}{25 x^4+e^{2 e^x+2 x} (16-8 x+x^2)+e^{e^x+x} (40 x^2-10 x^3)} \, dx\)
  3.54.48 \(\int \frac {e^5 x+(-12 x-4 x^2) \log (-3-x)+e^5 (-6-2 x) \log (-3-x) \log (\log (-3-x))}{(3 x^3+x^4) \log (-3-x)} \, dx\)
  3.54.49 \(\int \frac {-3 x^4-x^6+e^{2 x} (-630-225 x^2-675 \log (2))-3 x^4 \log (2)+e^x (81 x^2+3 x^3+30 x^4+90 x^2 \log (2))}{225 e^{2 x} x^2-30 e^x x^4+x^6} \, dx\)
  3.54.50 \(\int \frac {-5 x+5 x^2+10 x^3+e^{\frac {4+6 x+x^2}{x}} (-4+x^2)}{5 x^2} \, dx\)
  3.54.51 \(\int \frac {-202500-202500 x-67500 x^2-7500 x^3+(50625+50625 x+16875 x^2+1875 x^3) \log (3 x)+(40500+35100 x+7200 x^2-900 x^3-300 x^4) \log ^2(3 x)+(-20250-14850 x+1800 x^3+300 x^4) \log ^3(3 x)+(2025+945 x-567 x^2-279 x^3+9 x^4+9 x^5) \log ^5(3 x)}{(27+27 x+9 x^2+x^3) \log ^5(3 x)} \, dx\)
  3.54.52 \(\int \frac {1}{3} (-3+e^{\frac {1}{3} (3+e^{-13-x}-3 x)} (-3-e^{-13-x})) \, dx\)
  3.54.53 \(\int \frac {15+84 x+63 x^2-12 x^3-20 x^4}{15 x+65 x^2+85 x^3+40 x^4+20 x^5} \, dx\)
  3.54.54 \(\int \frac {32 x^2+16 x^3+1026 x^4+1280 x^5+576 x^6+112 x^7+8 x^8+(-64 x-32 x^2-3076 x^3-4096 x^4-1920 x^5-384 x^6-28 x^7) \log (3)+(32+16 x+3074 x^2+4608 x^3+2304 x^4+480 x^5+36 x^6) \log ^2(3)+(-1024 x-2048 x^2-1152 x^3-256 x^4-20 x^5) \log ^3(3)+(256 x+192 x^2+48 x^3+4 x^4) \log ^4(3)+(2+64 x^2+48 x^3+8 x^4+(-64 x-64 x^2-12 x^3) \log (3)+(16 x+4 x^2) \log ^2(3)) \log (x)}{x} \, dx\)
  3.54.55 \(\int \frac {e^{\frac {e^{-\frac {5 x}{3 x+15 \log (4)}} (4+8 x)}{x}-\frac {5 x}{3 x+15 \log (4)}} (-12 x^2+(-220 x-200 x^2) \log (4)-300 \log ^2(4))}{3 x^4+30 x^3 \log (4)+75 x^2 \log ^2(4)} \, dx\)
  3.54.56 \(\int \frac {e^{3+x^3}+3 e^{3+x^3} x^3 \log (x)}{x} \, dx\)
  3.54.57 \(\int \frac {e^x x \log (x)+e^x x^2 \log ^2(x)+e^{e^{3 e^{-x}}} (-3 e^{3 e^{-x}} x \log (x)+e^x x \log ^2(x))+(-e^{e^{3 e^{-x}}+x}-e^x x) \log (e^{e^{3 e^{-x}}}+x)}{e^{e^{3 e^{-x}}+x} x \log ^2(x)+e^x x^2 \log ^2(x)} \, dx\)
  3.54.58 \(\int \frac {-5+32 e^x x^2}{x^2} \, dx\)
  3.54.59 \(\int \frac {270-270 x^3+90 x^6-10 x^9-x^6 \log ^2(x)}{(-54 x+54 x^4-18 x^7+2 x^{10}) \log ^2(x)} \, dx\)
  3.54.60 \(\int \frac {-50 x^6-800 x^7-150 x^8+e^{\frac {3+2 e^4 x}{x}} (-32 x^3-6 x^4)+e^{\frac {3+2 e^4 x}{2 x}} (-3 x^3+6 x^4+320 x^5+60 x^6)}{2 x^2+80 x^3+820 x^4+400 x^5+50 x^6+e^{\frac {3+2 e^4 x}{x}} (32+16 x+2 x^2)+e^{\frac {3+2 e^4 x}{2 x}} (-16 x-324 x^2-160 x^3-20 x^4)} \, dx\)
  3.54.61 \(\int (-e^x+\log (5)) \, dx\)
  3.54.62 \(\int \frac {2 x^4+e^{\frac {2 x \log ^2(x)-2 \log ^2(x) \log (2 x)}{x^2}} (4 e x \log (x)+e (-2-2 x) \log ^2(x)+(-4 e \log (x)+4 e \log ^2(x)) \log (2 x))}{x^3} \, dx\)
  3.54.63 \(\int \frac {-4 x^2+(5-e^5+3 x) \log (15)}{(10 x^2-2 e^5 x^2+2 x^3+(-5 x+e^5 x-x^2) \log (15)) \log (\frac {-2 x+\log (15)}{e^{15} x+e^{10} (-10 x-2 x^2)+e^5 (25 x+10 x^2+x^3)})} \, dx\)
  3.54.64 \(\int \frac {-6 e+8 x-24 x^2+18 x^3}{4-12 x+9 x^2} \, dx\)
  3.54.65 \(\int (2+e^{e^{\frac {1}{5} (-e+10 x)} x+\frac {1}{5} (-e+10 x)} (1+2 x)) \, dx\)
  3.54.66 \(\int \frac {-1+e^{x^2+2 x^4+x^6} (2 x+8 x^3+6 x^5)}{9+e^{2 x^2+4 x^4+2 x^6}+6 x+x^2+(6+2 x) \log (2) \log (5)+\log ^2(2) \log ^2(5)+e^{x^2+2 x^4+x^6} (-6-2 x-2 \log (2) \log (5))} \, dx\)
  3.54.67 \(\int \frac {-12+12 x-36 x^2+48 x^3}{-x+x^2} \, dx\)
  3.54.68 \(\int \frac {(e^x-x \log (\frac {1}{5} (-1+5 x)))^{e^{-1-e^2}} (e^x (1-5 x)+5 x+(-1+5 x) \log (\frac {1}{5} (-1+5 x)))}{e^{1+e^2+x} (1-5 x)+e^{1+e^2} (-x+5 x^2) \log (\frac {1}{5} (-1+5 x))} \, dx\)
  3.54.69 \(\int \frac {e^x (3-3 x) \log (3)+(-2 e^x \log (3)-2 x \log (3)) \log (\frac {e^x+x}{x})+(3 e^x \log (3)+3 x \log (3)) \log (\frac {e^x+x}{x}) \log (\frac {3}{\log (\frac {e^x+x}{x})})}{(e^x+x) \log (\frac {e^x+x}{x})} \, dx\)
  3.54.70 \(\int \frac {90 x-114 x^2+46 x^3-6 x^4+e^{\frac {-6+x}{-6+2 x}} (21 x-21 x^2+4 x^3) \log (2)+(198 x-186 x^2+58 x^3-6 x^4) \log (2)+(90 x-78 x^2+22 x^3-2 x^4+e^{\frac {-6+x}{-6+2 x}} (-90+78 x-22 x^2+2 x^3) \log (2)+(-270+324 x-144 x^2+28 x^3-2 x^4) \log (2)) \log (\frac {-25 x+10 x^2-x^3+e^{\frac {-6+x}{-6+2 x}} (25-10 x+x^2) \log (2)+(75-55 x+13 x^2-x^3) \log (2)}{\log (2)})}{90 x-78 x^2+22 x^3-2 x^4+e^{\frac {-6+x}{-6+2 x}} (-90+78 x-22 x^2+2 x^3) \log (2)+(-270+324 x-144 x^2+28 x^3-2 x^4) \log (2)} \, dx\)
  3.54.71 \(\int \frac {-4 x^7+8 x^7 \log (4 x)+(-4 x^4-20 x^5) \log ^2(4 x)+(10 x^4+60 x^5) \log ^3(4 x)+(2 x+30 x^2+100 x^3) \log ^5(4 x)}{\log ^5(4 x)} \, dx\)
  3.54.72 \(\int \frac {-1+4 x^3+8 x^2 \log (16)+4 x \log ^2(16)}{x^2+2 x \log (16)+\log ^2(16)} \, dx\)
  3.54.73 \(\int \frac {405-648 x^2-288 x^3+216 x^4+48 x^6+128 x^7-48 x^8-48 e^{12} x^8+e^6 (72 x^4+96 x^6+128 x^7-96 x^8)}{16 x^6} \, dx\)
  3.54.74 \(\int \frac {(-2 x-2 x \log (x)) \log (e^{-8-2 x} \log ^2(3))+(-2-\log (x)) \log ^2(e^{-8-2 x} \log ^2(3))}{2 x^3+6 x^3 \log (x)+6 x^3 \log ^2(x)+2 x^3 \log ^3(x)} \, dx\)
  3.54.75 \(\int -\frac {1}{x} \, dx\)
  3.54.76 \(\int \frac {400+100 e^2+100 x^2+e^{\frac {e^{2-e^{e^x}}}{10+e^{2-e^{e^x}} (1+x)}} (e^{4-2 e^{e^x}} x^2+10 e^{2-e^{e^x}+e^x+x} x^2)+e^{2-e^{e^x}} (80+80 x+20 x^2+20 x^3+e^2 (20+20 x))+e^{4-2 e^{e^x}} (4+8 x+5 x^2+2 x^3+x^4+e^2 (1+2 x+x^2))}{100 x^2+e^{2-e^{e^x}} (20 x^2+20 x^3)+e^{4-2 e^{e^x}} (x^2+2 x^3+x^4)} \, dx\)
  3.54.77 \(\int \frac {275+128 x+15 x^2+e^{4 x^3} (5+300 x^2+60 x^3)+e^{2 x^3} (-90-20 x-1200 x^2-540 x^3-60 x^4)}{400+275 x+64 x^2+5 x^3+e^{4 x^3} (25+5 x)+e^{2 x^3} (-200-90 x-10 x^2)} \, dx\)
  3.54.78 \(\int \frac {1}{10} (-8+8 e^x-75 x) \, dx\)
  3.54.79 \(\int \frac {8-2 x+6 x^2+(4+x-x^2) \log (\frac {256+256 x-160 x^2-176 x^3+49 x^4+44 x^5-10 x^6-4 x^7+x^8}{128 x^2}) \log (\log (\frac {256+256 x-160 x^2-176 x^3+49 x^4+44 x^5-10 x^6-4 x^7+x^8}{128 x^2}))}{(-4 x^2-x^3+x^4) \log (\frac {256+256 x-160 x^2-176 x^3+49 x^4+44 x^5-10 x^6-4 x^7+x^8}{128 x^2})} \, dx\)
  3.54.80 \(\int \frac {4 x^3-5996 x^4-6959 x^5-1812 x^6+84 x^7+(-300 x^2-388 x^3-109 x^4+5 x^5) \log (25-x)}{-25+x} \, dx\)
  3.54.81 \(\int \frac {-256 x^2-128 x^4-128 x^5+e^{\frac {20-x}{2}} (-128 x^2-128 x^3)+e^{\frac {20-x}{4}} (-64 x^2+240 x^3+256 x^4)+e^x (8 x+8 x^2+8 x^3+e^{\frac {20-x}{2}} (8+8 x)+e^{\frac {20-x}{4}} (4-15 x-16 x^2))+(64 x^2-256 x^3-256 x^4+e^x (-4+e^{\frac {20-x}{4}} (-16-16 x)+16 x+16 x^2)+e^{\frac {20-x}{4}} (256 x^2+256 x^3)) \log (e^{2 x}-32 e^x x^2+256 x^4)+(-128 x^2-128 x^3+e^x (8+8 x)) \log ^2(e^{2 x}-32 e^x x^2+256 x^4)}{-64 e^{\frac {20-x}{2}} x^2+128 e^{\frac {20-x}{4}} x^3-64 x^4+e^x (4 e^{\frac {20-x}{2}}-8 e^{\frac {20-x}{4}} x+4 x^2)+(128 e^{\frac {20-x}{4}} x^2-128 x^3+e^x (-8 e^{\frac {20-x}{4}}+8 x)) \log (e^{2 x}-32 e^x x^2+256 x^4)+(4 e^x-64 x^2) \log ^2(e^{2 x}-32 e^x x^2+256 x^4)} \, dx\)
  3.54.82 \(\int \frac {(3+x+9 x^2+3 x^3) \log (3+x)+(3+x+x^3) \log (-9-3 x-3 x^3)}{9+6 x+x^2+3 x^3+x^4} \, dx\)
  3.54.83 \(\int \frac {36+90 e^{2 x} x+18 e^{2 x} x \log (5 x)}{2000 x-200 e^{2 x} x+5 e^{4 x} x+(400 x-40 e^{2 x} x+e^{4 x} x) \log (5 x)+(-800 x+40 e^{2 x} x+(-160 x+8 e^{2 x} x) \log (5 x)) \log (5+\log (5 x))+(80 x+16 x \log (5 x)) \log ^2(5+\log (5 x))} \, dx\)
  3.54.84 \(\int \frac {e^{\frac {2-10 x-x^2-\log (x)}{x}} (-12-4 x-4 x^2+4 \log (x))}{x^3} \, dx\)
  3.54.85 \(\int \frac {-45 x+x^2+(-250-50 x) \log (\frac {5+x}{5})}{10+2 x} \, dx\)
  3.54.86 \(\int \frac {-160+100 x+e^5 (-6+4 x)+(-50-2 e^5) \log (3)+e^x (50+50 x+e^5 (2+2 x)+(-50-2 e^5) \log (3))}{25+e^5} \, dx\)
  3.54.87 \(\int \frac {e^{e^5} (x^2+2 x^3+e^{\frac {2 (-16+4 x-x^2)}{x}} (32-2 x^2)+e^{\frac {-16+4 x-x^2}{x}} (32 x+2 x^2-2 x^3))}{x^2} \, dx\)
  3.54.88 \(\int \frac {(-8 x+8 x^2+(3 x-4 x^2+x^3) \log (x)) \log (\frac {1}{3} (8+(-3+x) \log (x)))+(-6+8 x-2 x^2+(2 x-2 x^2) \log (x)) \log (\log (\frac {1}{3} (8+(-3+x) \log (x))))+(-8 x+(3 x-x^2) \log (x)) \log (\frac {1}{3} (8+(-3+x) \log (x))) \log ^2(\log (\frac {1}{3} (8+(-3+x) \log (x))))+(-6+2 x+2 x \log (x)) \log ^3(\log (\frac {1}{3} (8+(-3+x) \log (x))))}{(16 x+(-6 x+2 x^2) \log (x)) \log (\frac {1}{3} (8+(-3+x) \log (x)))} \, dx\)
  3.54.89 \(\int \frac {28 x^2-144 x^3+e^{20/x} (-60-20 x-10 x^2)+(-2 x^2-e^{20/x} x^2-16 x^3) \log (2+e^{20/x}+16 x)}{18 x^2+156 x^3+98 x^4+16 x^5+e^{20/x} (9 x^2+6 x^3+x^4)} \, dx\)
  3.54.90 \(\int \frac {-3 x^2+12 x^4+16 x^5+5 x^6+(-6 x+16 x^3+20 x^4+6 x^5) \log (5)-3 \log ^2(5)}{3 x^2+6 x \log (5)+3 \log ^2(5)} \, dx\)
  3.54.91 \(\int \frac {9+e^{\frac {1}{2} (3-2 x)} (-3-3 x)+e^x (-48-48 x+e^{\frac {1}{2} (3-2 x)} (16+32 x))}{27 x^2-288 e^x x^2+768 e^{2 x} x^2} \, dx\)
  3.54.92 \(\int \frac {-2 x^3+x^5+(2 x^3-x^5) \log (\frac {x}{3})+(320-240 x-160 x^2+62 x^3-20 x^4+29 x^5+10 x^6) \log ^2(\frac {x}{3})+(-2 x^5 \log (\frac {x}{3})+(160 x^2-240 x^3+10 x^4+58 x^5+10 x^6) \log ^2(\frac {x}{3})) \log (\frac {x^3+(-80+120 x-5 x^2-29 x^3-5 x^4) \log (\frac {x}{3})}{x^2 \log (\frac {x}{3})})}{-x^4 \log (\frac {x}{3})+(80 x-120 x^2+5 x^3+29 x^4+5 x^5) \log ^2(\frac {x}{3})} \, dx\)
  3.54.93 \(\int \frac {-4 e-8 x+e^x (-64-56 x+4 x^2)+32 e^x \log (x)+e^x (16+16 x) \log ^2(x)}{-e x-x^2+e^x (-16 x+x^2)+4 e^x x \log ^2(x)} \, dx\)
  3.54.94 \(\int \frac {1}{12} e^{-x} (48-12 e+e^x-48 x) \, dx\)
  3.54.95 \(\int \frac {-10-50 x+5 e^{-5+x} x-400 x^2}{x} \, dx\)
  3.54.96 \(\int \frac {1}{3} (100+5 e^x-40 x) \, dx\)
  3.54.97 \(\int \frac {-300+200 x+400 x^3+e^5 (12 x^2-4 x^3+8 x^5)+e^5 (-6 x^2+4 x^3+8 x^5) \log (\frac {-3+2 x+4 x^3}{4 x^2})}{e^5 (-3 x^2+2 x^3+4 x^5)} \, dx\)
  3.54.98 \(\int \frac {e^{-x} (-4 e^x+e^4 (-243+405 x-270 x^2+90 x^3-15 x^4+x^5)+e^{3 x} (-486+810 x-540 x^2+180 x^3-30 x^4+2 x^5))}{-243+405 x-270 x^2+90 x^3-15 x^4+x^5} \, dx\)
  3.54.99 \(\int \frac {(-7500 x-3750 x^3) \log (x)+(3750 x-1875 x^3+(-7500 x+3750 x^3) \log (x)) \log (\frac {16-16 x^2+4 x^4}{x^2})}{(-2+x^2) \log ^2(x) \log ^2(\frac {16-16 x^2+4 x^4}{x^2})} \, dx\)
  3.54.100 \(\int \frac {1+2 x}{(15 x+e x+2 x^2+x \log (x)) \log (-15-e-2 x-\log (x))} \, dx\)