3.51.1 \(\int \frac {324 x^4+195 x^5+26 x^6+x^7+(141 x+24 x^2+x^3+1296 x^4+780 x^5+104 x^6+4 x^7) \log (x)+(324+195 x+26 x^2+x^3) \log (\frac {27+14 x+x^2}{12+x})}{324 x+195 x^2+26 x^3+x^4} \, dx\)
  3.51.2 \(\int \frac {120 x+116 x^2+36 x^3+58 x^4+54 x^5+18 x^6+2 x^7+e^{3 x} (4 x+2 x^4)+e^{2 x} (36 x+12 x^2+18 x^4+6 x^5)+e^x (112 x+76 x^2+12 x^3+54 x^4+36 x^5+6 x^6)+e^{4 x} (54 x^2+2 e^{3 x} x^2+54 x^3+18 x^4+2 x^5+e^{2 x} (18 x^2+6 x^3)+e^x (54 x^2+36 x^3+6 x^4))+e^{2 x} (-60-180 x-130 x^2-146 x^3-112 x^4-36 x^5-4 x^6+e^{3 x} (-2-4 x-4 x^3)+e^{2 x} (-18-42 x-12 x^2-36 x^3-12 x^4)+e^x (-56-152 x-78 x^2-120 x^3-72 x^4-12 x^5))}{27 x^4+e^{3 x} x^4+27 x^5+9 x^6+x^7+e^{2 x} (9 x^4+3 x^5)+e^x (27 x^4+18 x^5+3 x^6)+e^{4 x} (27 x^2+e^{3 x} x^2+27 x^3+9 x^4+x^5+e^{2 x} (9 x^2+3 x^3)+e^x (27 x^2+18 x^3+3 x^4))+e^{2 x} (-54 x^3-2 e^{3 x} x^3-54 x^4-18 x^5-2 x^6+e^{2 x} (-18 x^3-6 x^4)+e^x (-54 x^3-36 x^4-6 x^5))} \, dx\)
  3.51.3 \(\int \frac {12 x^2+4 x^3+(8+4 x) \log ^2(5 e^3)+(2 x^2+2 \log ^2(5 e^3)) \log (x^2+\log ^2(5 e^3))}{x^2+\log ^2(5 e^3)} \, dx\)
  3.51.4 \(\int \frac {e^x (-x^2+x^3)+e^{\frac {3 x^2+30 \log (x)}{x}} (-120-12 x^2+4 x^3+120 \log (x))}{e^x x^2+4 e^{\frac {3 x^2+30 \log (x)}{x}} x^2} \, dx\)
  3.51.5 \(\int \frac {e^{\frac {4}{3 x^3}} (-4+x^3)}{x^3} \, dx\)
  3.51.6 \(\int \frac {-228+20 \log (2)}{11520-2880 x+180 x^2+(-1440+180 x) \log (2)+45 \log ^2(2)} \, dx\)
  3.51.7 \(\int \frac {3-6 x+e^{e^x} (-1-4 e^x+2 x)+(1-2 x) \log (3)-2 e^{e^x+x} \log (3-e^{e^x}+\log (3))}{-3+e^{e^x}-\log (3)} \, dx\)
  3.51.8 \(\int (-1-2 x+e^{2 x} (2 x+2 x^2)+8 x^7 \log ^4(2)) \, dx\)
  3.51.9 \(\int \frac {1}{8} e^{-x^2} (-1+8 e^{x^2}+10 x+2 x^2) \, dx\)
  3.51.10 \(\int \frac {16 x}{81-72 x^2+16 x^4} \, dx\)
  3.51.11 \(\int \frac {x+(9-x) \log (9-x)}{-9 x^2+x^3} \, dx\)
  3.51.12 \(\int \frac {-16 x+e^{e^{25 x^2}} (8-16 x+e^{25 x^2} (400 x^2-400 x^3))}{-25+75 x^2-75 x^4+25 x^6+e^{3 e^{25 x^2}} (-25 x^3+75 x^4-75 x^5+25 x^6)+e^{2 e^{25 x^2}} (-75 x^2+150 x^3-150 x^5+75 x^6)+e^{e^{25 x^2}} (-75 x+75 x^2+150 x^3-150 x^4-75 x^5+75 x^6)} \, dx\)
  3.51.13 \(\int \frac {1}{6} (-125-120 x+30 \log (4)) \, dx\)
  3.51.14 \(\int e^{-9-e^x} x (12 x-4 e^x x^2) \, dx\)
  3.51.15 \(\int \frac {12+2 x+(732-1248 x+582 x^2-27 x^3-27 x^4) \log (x)+(-444+466 x-72 x^2-27 x^3) \log (x) \log (\frac {6+x}{x \log (x)})+(90-39 x-9 x^2) \log (x) \log ^2(\frac {6+x}{x \log (x)})+(-6-x) \log (x) \log ^3(\frac {6+x}{x \log (x)})}{(-750+1225 x-585 x^2+27 x^3+27 x^4) \log (x)+(450-465 x+72 x^2+27 x^3) \log (x) \log (\frac {6+x}{x \log (x)})+(-90+39 x+9 x^2) \log (x) \log ^2(\frac {6+x}{x \log (x)})+(6+x) \log (x) \log ^3(\frac {6+x}{x \log (x)})} \, dx\)
  3.51.16 \(\int \frac {-100 x^3-200 e^2 x^3-100 e^4 x^3+(60 x+100 x^3+100 e^4 x^3+e^4 (20 x+20 e^2 x)+e^2 (60 x+200 x^3)) \log (x^2)+(-60 x-60 e^2 x+e^4 (-20 x-20 e^2 x)) \log ^2(x^2)}{(9+6 e^4+e^8) \log ^3(x^2)} \, dx\)
  3.51.17 \(\int \frac {125+50 x+5 x^2+(-50-10 x) \log (8)+5 \log ^2(8)+e^{\frac {-6-e^5-6 x-x^2}{-25-5 x+5 \log (8)}} (24-e^5+10 x+x^2+(-6-2 x) \log (8))}{125+50 x+5 x^2+(-50-10 x) \log (8)+5 \log ^2(8)} \, dx\)
  3.51.18 \(\int e^{-e^x} (-e^{1+x}+2 e^{e^x} x) \, dx\)
  3.51.19 \(\int e^{2 e^{2 x}-2 x^2} (4 e^{2 x}-4 x) \, dx\)
  3.51.20 \(\int \frac {216+72 x+e^x (-54-45 x-9 x^2)}{2 e^{3 x} \log ^4(5)+e^{2 x} (30-6 x) \log ^4(5)+e^x (150-60 x+6 x^2) \log ^4(5)+(250-150 x+30 x^2-2 x^3) \log ^4(5)} \, dx\)
  3.51.21 \(\int (25+25 e^x-25 \log (3)) \, dx\)
  3.51.22 \(\int \frac {500-5 x^2+125 \log (3)+(-625-125 \log (3)) \log (x)+(-125+125 \log (x)) \log (\log (x))}{25 x^2+10 x^3+x^4+(-1250 x-250 x^2+(-250 x-50 x^2) \log (3)) \log (x)+(15625+6250 \log (3)+625 \log ^2(3)) \log ^2(x)+((250 x+50 x^2) \log (x)+(-6250-1250 \log (3)) \log ^2(x)) \log (\log (x))+625 \log ^2(x) \log ^2(\log (x))} \, dx\)
  3.51.23 \(\int \frac {e^{-e^2} (-3 x^2+e^{e^2} (4+x^2)+8 e^{e^2} \log (x)+e^{e^2} (-x^3+e^x x^3) \log ^2(x))}{x^3 \log ^2(x)} \, dx\)
  3.51.24 \(\int e^{-5+x^4+e^{\frac {3 e^{3 x^{-x}}}{x}} (-4 e^{3 x} x-12 e^{2 x} x^2-12 e^x x^3-4 x^4)+e^{\frac {e^{3 x^{-x}}}{x}} (-4 e^x x^3-4 x^4)+e^{\frac {4 e^{3 x^{-x}}}{x}} (e^{4 x}+4 e^{3 x} x+6 e^{2 x} x^2+4 e^x x^3+x^4)+e^{\frac {2 e^{3 x^{-x}}}{x}} (6 e^{2 x} x^2+12 e^x x^3+6 x^4)} x^{-2-x} (4 x^{5+x}+e^{\frac {2 e^{3 x^{-x}}}{x}} (x^x (24 x^5+e^{2 x} (12 x^3+12 x^4)+e^x (36 x^4+12 x^5))+e^{3 x^{-x}} (-36 e^{2 x} x^3-72 e^x x^4-36 x^5+x^x (-12 e^{2 x} x^2-24 e^x x^3-12 x^4)+(-36 e^{2 x} x^3-72 e^x x^4-36 x^5) \log (x)))+e^{\frac {4 e^{3 x^{-x}}}{x}} (x^x (4 e^{4 x} x^2+4 x^5+e^{3 x} (4 x^2+12 x^3)+e^{2 x} (12 x^3+12 x^4)+e^x (12 x^4+4 x^5))+e^{3 x^{-x}} (-12 e^{4 x} x-48 e^{3 x} x^2-72 e^{2 x} x^3-48 e^x x^4-12 x^5+x^x (-4 e^{4 x}-16 e^{3 x} x-24 e^{2 x} x^2-16 e^x x^3-4 x^4)+(-12 e^{4 x} x-48 e^{3 x} x^2-72 e^{2 x} x^3-48 e^x x^4-12 x^5) \log (x)))+e^{\frac {e^{3 x^{-x}}}{x}} (x^x (-16 x^5+e^x (-12 x^4-4 x^5))+e^{3 x^{-x}} (12 e^x x^4+12 x^5+x^x (4 e^x x^3+4 x^4)+(12 e^x x^4+12 x^5) \log (x)))+e^{\frac {3 e^{3 x^{-x}}}{x}} (x^x (-16 x^5+e^{3 x} (-4 x^2-12 x^3)+e^{2 x} (-24 x^3-24 x^4)+e^x (-36 x^4-12 x^5))+e^{3 x^{-x}} (36 e^{3 x} x^2+108 e^{2 x} x^3+108 e^x x^4+36 x^5+x^x (12 e^{3 x} x+36 e^{2 x} x^2+36 e^x x^3+12 x^4)+(36 e^{3 x} x^2+108 e^{2 x} x^3+108 e^x x^4+36 x^5) \log (x)))) \, dx\)
  3.51.25 \(\int e^{-x+e^{-x} (e^{2 x}+e^x (-3-x)+x-e^x \log (x)+e^x \log (4 x))} (e^x (1-x)+x+e^{2 x} x-x^2) \, dx\)
  3.51.26 \(\int \frac {4 e^{10}+e^{e^{4-4 x+x^2}-x} (-2 e^5+e^{9-4 x+x^2} (-8+4 x))}{4 e^{2 e^{4-4 x+x^2}-2 x}+e^{5+e^{4-4 x+x^2}-x} (44+16 x)+e^{10} (121+88 x+16 x^2)} \, dx\)
  3.51.27 \(\int \frac {(-3 x-2 x^2) \log (x^2)+(4+6 x+2 x^2) \log (2+3 x+x^2)+(-2 x-3 x^2-x^3) \log ^2(2+3 x+x^2)+e^{e^x} (3 x+2 x^2+e^x (-2 x-3 x^2-x^3) \log (2+3 x+x^2))}{(2 x+3 x^2+x^3) \log ^2(2+3 x+x^2)} \, dx\)
  3.51.28 \(\int \frac {-1+(-2+2 x) \log (4 x)}{x \log (4 x)} \, dx\)
  3.51.29 \(\int -\frac {288}{e^5} \, dx\)
  3.51.30 \(\int (1+e^{2+e^{-3 x+x^2}+x} (e^{10} (4-12 x+4 x^2+4 x^3)+e^{10-3 x+x^2} (-12 x+32 x^2-28 x^3+8 x^4))) \, dx\)
  3.51.31 \(\int \frac {-13+e+4 x^2+e^{2 x} (-1+2 x)}{3 x^2} \, dx\)
  3.51.32 \(\int \frac {144 x+70 x^2+9 x^3+16 x^4+8 x^5+x^6+(-32 x-16 x^2-2 x^3) \log (\frac {4 e^{\frac {14+3 x}{4+x}}}{x})}{400+200 x+25 x^2-160 x^3-80 x^4-10 x^5+16 x^6+8 x^7+x^8+(-160-80 x-10 x^2+32 x^3+16 x^4+2 x^5) \log (\frac {4 e^{\frac {14+3 x}{4+x}}}{x})+(16+8 x+x^2) \log ^2(\frac {4 e^{\frac {14+3 x}{4+x}}}{x})} \, dx\)
  3.51.33 \(\int \frac {e^{-x^2+x^4} (x+6 \log (4 x+5 x^2+x^3)) (24+64 x+23 x^2-7 x^3-10 x^4+14 x^5+20 x^6+4 x^7+(-48 x^2-60 x^3+84 x^4+120 x^5+24 x^6) \log (4 x+5 x^2+x^3))}{4 x^2+5 x^3+x^4+(24 x+30 x^2+6 x^3) \log (4 x+5 x^2+x^3)} \, dx\)
  3.51.34 \(\int \frac {3-6 x+9 x^2+e^{2+2 x} (-1+4 x-5 x^2+2 x^3)}{x^2-2 x^3+3 x^4-2 x^5+x^6} \, dx\)
  3.51.35 \(\int \frac {15}{(-3+3 x+10 \log (10+e)) \log ^2(-\frac {9}{-3+3 x+10 \log (10+e)})} \, dx\)
  3.51.36 \(\int \frac {-12 x^2-8 x^3+e^4 (8+4 x)}{2 x+x^2} \, dx\)
  3.51.37 \(\int \frac {1-2 e^4+e^8+4096 x^3-16384 e^2 x^3+16384 e^4 x^3}{1-2 e^4+e^8} \, dx\)
  3.51.38 \(\int \frac {7442-3904 x+3278 x^3-4590 x^4+2496 x^5-1408 x^6+320 x^7-96 x^8}{x^3} \, dx\)
  3.51.39 \(\int \frac {4 e^x-8 x+4 x^2}{e^x x-x^2} \, dx\)
  3.51.40 \(\int \frac {-6-4 \log (\frac {x^3}{2})-3 x^3 \log ^2(\frac {x^3}{2})}{12 x^3 \log ^2(\frac {x^3}{2})} \, dx\)
  3.51.41 \(\int \frac {27 e^{10} x^2+e^{-x^2+x \log (x^2)} (4+8 x-8 x^2+4 x \log (x^2))}{4 e^{10}} \, dx\)
  3.51.42 \(\int -\frac {84 e^2}{6480+80 e^2+360 x+5 x^2+e (1440+40 x)} \, dx\)
  3.51.43 \(\int \frac {4 x^3+2 x^4+e^{\frac {-x^3+e^{x^2} (25-10 x+x^2)}{x^2}} (-x^3+e^{x^2} (-50+10 x+50 x^2-20 x^3+2 x^4))}{x^3} \, dx\)
  3.51.44 \(\int \frac {3 x^3-x^4+(3 x+x^2) \log (\frac {16}{5})+(2 x^4-2 x^2 \log (\frac {16}{5})+(-6 x^3+6 x \log (\frac {16}{5})) \log (\frac {x^2-\log (\frac {16}{5})}{x})) \log (\frac {1}{3} (x-3 \log (\frac {x^2-\log (\frac {16}{5})}{x})))}{(x^3-x \log (\frac {16}{5})+(-3 x^2+3 \log (\frac {16}{5})) \log (\frac {x^2-\log (\frac {16}{5})}{x})) \log ^2(\frac {1}{3} (x-3 \log (\frac {x^2-\log (\frac {16}{5})}{x})))} \, dx\)
  3.51.45 \(\int \frac {-34+40 x}{-35-17 x+10 x^2+7 \log (3)} \, dx\)
  3.51.46 \(\int \frac {20 \log (4 e^5)}{e^{10}} \, dx\)
  3.51.47 \(\int \frac {15+10 e^2-20 x+(2+6 x-6 x^2+e^2 (-4+4 x)) \log (3)}{500+1500 x+125 x^2-1500 x^3+500 x^4+e^4 (2000-2000 x+500 x^2)+e^2 (-2000-2000 x+3500 x^2-1000 x^3)+(200 x+600 x^2+50 x^3-600 x^4+200 x^5+e^4 (800 x-800 x^2+200 x^3)+e^2 (-800 x-800 x^2+1400 x^3-400 x^4)) \log (3)+(20 x^2+60 x^3+5 x^4-60 x^5+20 x^6+e^4 (80 x^2-80 x^3+20 x^4)+e^2 (-80 x^2-80 x^3+140 x^4-40 x^5)) \log ^2(3)} \, dx\)
  3.51.48 \(\int \frac {-3+36 x-12 e^{x^2} x-6 x^2}{e^{3 x^2}+e^{2 x^2} (-12+2 x)+e^{x^2} (36-12 x+x^2)} \, dx\)
  3.51.49 \(\int \frac {1}{5} (1+e^3 (5+90 x)) \, dx\)
  3.51.50 \(\int \frac {150-50 x+(150-21 x) \log (\frac {50-7 x}{2 x})}{-50 x^2+7 x^3+(300 x-142 x^2+14 x^3) \log (\frac {50-7 x}{2 x})+(-450+363 x-92 x^2+7 x^3) \log ^2(\frac {50-7 x}{2 x})} \, dx\)
  3.51.51 \(\int \frac {e^x (-8+2 e^3) (i \pi +\log (10))+e^x (-4 x+e^3 x) (i \pi +\log (10)) \log (\frac {5}{x^2})+(-4 x+e^3 x) (i \pi +\log (10)) \log ^2(\frac {5}{x^2})}{e^x x \log (\frac {5}{x^2})+x^2 \log ^2(\frac {5}{x^2})} \, dx\)
  3.51.52 \(\int \frac {2 \log (\frac {2 x}{\log (3)})-\log ^2(\frac {2 x}{\log (3)})}{x^2+(8 x-2 e x) \log ^2(\frac {2 x}{\log (3)})+(16-8 e+e^2) \log ^4(\frac {2 x}{\log (3)})} \, dx\)
  3.51.53 \(\int (1+e^x) \, dx\)
  3.51.54 \(\int \frac {-x+e^{\frac {e^{x^2}}{x}+x^2} (3-6 x^2)}{3 x^2} \, dx\)
  3.51.55 \(\int \frac {(-2-2 x^2+2 \log (16 x \log ^2(\log (5)))) \log (\frac {x^2+\log (16 x \log ^2(\log (5)))}{x})}{x^3+x \log (16 x \log ^2(\log (5)))} \, dx\)
  3.51.56 \(\int \frac {8-17 x+3 x^2+(8-16 x+x^2) \log (\frac {x}{5})+(2-4 x) \log ^2(\frac {x}{5})}{4 x^2-8 x^3+4 x^4+e^2 (4 x^2-8 x^3+4 x^4)+(4 x^2-8 x^3+4 x^4+e^2 (4 x^2-8 x^3+4 x^4)) \log (\frac {x}{5})+(x^2-2 x^3+x^4+e^2 (x^2-2 x^3+x^4)) \log ^2(\frac {x}{5})} \, dx\)
  3.51.57 \(\int \frac {-400 e^{-3+x}-4 e^{-3+3 x} x^2+40 \log (6)+e^x (80 e^{-3+x} x+(-4-8 x) \log (6))}{100 e^{-3+x}-20 e^{-3+2 x} x+e^{-3+3 x} x^2} \, dx\)
  3.51.58 \(\int \frac {10 x^3+e^x (e^5 (2-x)-3 x^3-3 x^4)-6 x^3 (i \pi +\log (3))+x^3 (i \pi +\log (3))^2}{x^3} \, dx\)
  3.51.59 \(\int \frac {e^{\frac {2 (50 e^2+45 x-5 x^2)}{-4+x}} (1600-36800 x-10000 e^2 x+8100 x^2-1000 x^3)}{16-8 x+x^2} \, dx\)
  3.51.60 \(\int \frac {e^{-\frac {e^2}{x}} (15 x+e^2 (-15+5 x)+e^{\frac {e^2}{x}} (-12+5 x-3 x^3+2 x^4))}{x^3} \, dx\)
  3.51.61 \(\int \frac {e (-1+x)+e^x (-1-x^2)+e^x x \log (x)}{2 e^2 x+2 e^{2 x} x+4 e^{1+x} x} \, dx\)
  3.51.62 \(\int \frac {32 x+26 x^2+6 x^4-2 x^5+e^6 (2 x+2 x^2)+e^3 (-16 x-14 x^2-2 x^4)}{256+832 x+708 x^2-140 x^3-279 x^4+40 x^5+38 x^6-12 x^7+x^8+e^{12} (1+4 x+6 x^2+4 x^3+x^4)+e^9 (-16-60 x-80 x^2-40 x^3+4 x^5)+e^6 (96+340 x+398 x^2+124 x^3-60 x^4-24 x^5+6 x^6)+e^3 (-256-864 x-872 x^2-76 x^3+248 x^4+24 x^5-32 x^6+4 x^7)} \, dx\)
  3.51.63 \(\int \frac {2+(-2 x^2+324 x^4) \log (x)}{x \log (x)} \, dx\)
  3.51.64 \(\int \frac {(-4-e^3+2 x^2) \log (x)+(-16 x-32 x \log (x)) \log ^3(\frac {1}{16} x^4 \log ^2(x))}{2 x^2 \log (x)} \, dx\)
  3.51.65 \(\int \frac {2 x}{e^2} \, dx\)
  3.51.66 \(\int \frac {e^{2 e^{\frac {1}{3} (-3+\log (\frac {e^4 x+x^2-3 x \log (x)}{e^4+x}))}+\frac {1}{3} (-3+\log (\frac {e^4 x+x^2-3 x \log (x)}{e^4+x}))} (-2 e^8+e^4 (6-4 x)+6 x-2 x^2+6 e^4 \log (x))}{-3 e^8 x-6 e^4 x^2-3 x^3+(9 e^4 x+9 x^2) \log (x)} \, dx\)
  3.51.67 \(\int \frac {-6 x-12 x^3-6 x^5+e^{4+\frac {4 e^4}{1+x^2}} (-648 x-648 x^2-192 x^3-16 x^4) \log (\frac {27+18 x+2 x^2}{9+6 x+x^2})}{(81+81 x+186 x^2+164 x^3+129 x^4+85 x^5+24 x^6+2 x^7) \log (\frac {27+18 x+2 x^2}{9+6 x+x^2})} \, dx\)
  3.51.68 \(\int \frac {(6 x+2 x^2) \log (\frac {3+x}{3})+((2 x-x^2) \log (2-x)+(6-13 x+x^2+2 x^3) \log (2-x) \log (\frac {3+x}{3})) \log (\log (2-x))}{(-6 x+x^2+x^3) \log (2-x) \log (\frac {3+x}{3}) \log (\log (2-x))} \, dx\)
  3.51.69 \(\int \frac {e^{\frac {256-\log (x^3)}{-5+x}} (25 x-10 x^2+x^3+(-30-757 x-252 x^2-x^3) \log (6+2 x)+(3 x+x^2) \log (x^3) \log (6+2 x))}{75 x^2-5 x^3-7 x^4+x^5} \, dx\)
  3.51.70 \(\int \frac {e^{\frac {144 x^2-e^{4 x^2} x^2-288 x^3-2 e^{2 x^2} x^3+143 x^4+(288 x-288 x^2) \log (x)+144 \log ^2(x)}{9 e^{4 x^2}+18 e^{2 x^2} x+9 x^2}} (288 x^2-2 e^{6 x^2} x^2-288 x^3-6 e^{4 x^2} x^3-288 x^4+286 x^5+e^{2 x^2} (288 x-864 x^3-582 x^4+2304 x^5-1152 x^6)+(288 x-288 x^2+e^{2 x^2} (288+288 x-576 x^2-2304 x^3+2304 x^4)) \log (x)+(-288 x-1152 e^{2 x^2} x^2) \log ^2(x))}{9 e^{6 x^2} x+27 e^{4 x^2} x^2+27 e^{2 x^2} x^3+9 x^4} \, dx\)
  3.51.71 \(\int \frac {e^{16} (12 x-9 x^2)+e^{2 x} (12 x-9 x^2)+e^8 (-12 x+9 x^2)+e^x (-12 x+3 x^2+3 x^3+e^8 (24 x-18 x^2))}{4-8 e^8+4 e^{16}+4 e^{2 x}+e^x (-8+8 e^8)} \, dx\)
  3.51.72 \(\int (e^x+(1-2 x) \log (5)) \, dx\)
  3.51.73 \(\int \frac {e^{-\frac {3+e^x}{3 e^{x^2}-6 x}} (-6 e^{2 x^2} \log (5)+(-6 x-24 x^2) \log (5)+e^x (-2 x+2 x^2) \log (5)+e^{x^2} (e^x (-x+2 x^2) \log (5)+(24 x+6 x^2) \log (5)))}{48 e^{2 x^2} x^3-192 e^{x^2} x^4+192 x^5} \, dx\)
  3.51.74 \(\int \frac {e^x (-2-2 x)-294 x^2+336 x^2 (i \pi +\log (3))-96 x^2 (i \pi +\log (3))^2+(147 x^2+e^x (1+x)-168 x^2 (i \pi +\log (3))+48 x^2 (i \pi +\log (3))^2) \log (x)+(e^x+49 x^2-56 x^2 (i \pi +\log (3))+16 x^2 (i \pi +\log (3))^2) \log (e^x x+49 x^3-56 x^3 (i \pi +\log (3))+16 x^3 (i \pi +\log (3))^2)}{e^x x+49 x^3-56 x^3 (i \pi +\log (3))+16 x^3 (i \pi +\log (3))^2} \, dx\)
  3.51.75 \(\int (1+e^{16}+e^{20}+2 x-6 x^2+5 x^4+e^8 (-2+6 x^2)+e^{10} (-2+2 e^8+6 x^2)) \, dx\)
  3.51.76 \(\int \frac {4-16 x+4 x^2+e^{\frac {1}{4} (5 x^2-x^3)} (10 x^2-23 x^3+16 x^4-3 x^5)}{4 x-8 x^2+4 x^3} \, dx\)
  3.51.77 \(\int \frac {1}{2} (1+4 x+e^{-6+2 x} (-2 x-2 x^2)) \, dx\)
  3.51.78 \(\int e^{-2 x} (1024 x^3-1152 x^4+352 x^5-32 x^6+e^{2 x+2 \log ^2(4)} (-8+2 x)+e^{2 x} (-168+146 x-42 x^2+4 x^3)+(-1536 x^2+2048 x^3-672 x^4+64 x^5) \log (3)+(512 x-896 x^2+320 x^3-32 x^4) \log ^2(3)+e^x (-768 x+1344 x^2-672 x^3+128 x^4-8 x^5+(384-1024 x+584 x^2-120 x^3+8 x^4) \log (3))+e^{\log ^2(4)} (e^{2 x} (-80+44 x-6 x^2)+e^x (-256 x+320 x^2-96 x^3+8 x^4+(128-256 x+88 x^2-8 x^3) \log (3)))) \, dx\)
  3.51.79 \(\int \frac {1}{10} (40+10 e^x+e^{\frac {1}{5} (-5 e^x+x)} (-1+5 e^x)) \, dx\)
  3.51.80 \(\int \frac {-25+e^{-2+2 e^{\sqrt [4]{e}}-e^{x^2}-x} (-25-50 e^{x^2} x)}{1+e^{-4+4 e^{\sqrt [4]{e}}-2 e^{x^2}-2 x}+e^{-2+2 e^{\sqrt [4]{e}}-e^{x^2}-x} (-2-2 x)+2 x+x^2} \, dx\)
  3.51.81 \(\int e^{-2 x^2-2 x^3} (32 e^{2 x^2+2 x^3} x+150 x^5-100 x^7-150 x^8+(250 x^4-200 x^6-300 x^7) \log (5)+(100 x^3-100 x^5-150 x^6) \log ^2(5)+e^{x^2+x^3} (160 x^3-80 x^5-120 x^6+(120 x^2-80 x^4-120 x^5) \log (5))) \, dx\)
  3.51.82 \(\int \frac {(20-48 x+12 x^2) \log ^4(3)+(5 x-6 x^2+x^3) \log ^4(3) \log (5)+(5 x-6 x^2+x^3) \log ^4(3) \log (-5 x+6 x^2-x^3)}{(5 x-6 x^2+x^3) \log (5)+(5 x-6 x^2+x^3) \log (-5 x+6 x^2-x^3)} \, dx\)
  3.51.83 \(\int \frac {-3 e^2-12 e x-12 x^2+e^{\frac {x^2}{6}} (-6+e x+2 x^2)+e^x (3 e^2+12 e x+12 x^2)}{3 e^2+12 e x+12 x^2} \, dx\)
  3.51.84 \(\int \frac {e^x (-16-16 x)+e^{x+\frac {2}{3} (2 x+2 x^2)} (-1-x)+e^{x+\frac {1}{3} (2 x+2 x^2)} (10+6 x-8 x^2)}{4-4 e^{\frac {1}{3} (2 x+2 x^2)}+e^{\frac {2}{3} (2 x+2 x^2)}} \, dx\)
  3.51.85 \(\int \frac {e^{2/3} (-48 x^4-2 x^6)+\sqrt [3]{e} (-16800 x^4-480 x^5-700 x^6-20 x^7)+(e^{2/3} (-8 x^3+24 x^4)+\sqrt [3]{e} (-8560 x^3+8320 x^4)) \log (x^2)+(4 e^{2/3} x^3+\sqrt [3]{e} (-1440 x^2+4280 x^3+20 x^4)) \log ^2(x^2)+\sqrt [3]{e} (-80 x+720 x^2) \log ^3(x^2)+40 \sqrt [3]{e} x \log ^4(x^2)}{42875 x^6+3675 x^7+105 x^8+x^9+(44100 x^5+2520 x^6+36 x^7) \log (x^2)+(18795 x^4+642 x^5+3 x^6) \log ^2(x^2)+(4248 x^3+72 x^4) \log ^3(x^2)+(537 x^2+3 x^3) \log ^4(x^2)+36 x \log ^5(x^2)+\log ^6(x^2)} \, dx\)
  3.51.86 \(\int \frac {2-33 x+16 x^2-2 x^3+(16 x-8 x^2+x^3) \log (3 e^{\frac {-1+(-8 x+2 x^2) \log (x)}{-8 x+2 x^2}} x)}{(16 x-8 x^2+x^3) \log ^2(3 e^{\frac {-1+(-8 x+2 x^2) \log (x)}{-8 x+2 x^2}} x)} \, dx\)
  3.51.87 \(\int 2 \log (\frac {25}{4}) \, dx\)
  3.51.88 \(\int -\frac {10 e^5}{-21+e^5 (20-10 x)+10 e^5 \log (4)} \, dx\)
  3.51.89 \(\int \frac {e^{\frac {1}{-4+e \log (x)}} (800-320 x+e (-50+10 x)+e (-400+160 x) \log (x)+e^2 (50-20 x) \log ^2(x))}{16-8 e \log (x)+e^2 \log ^2(x)} \, dx\)
  3.51.90 \(\int e^{6401 x-6400 x^3+2400 x^5-400 x^7+25 x^9} (6401-19200 x^2+12000 x^4-2800 x^6+225 x^8) \, dx\)
  3.51.91 \(\int \frac {x+e^{16} x^2 (e^{e^x} (-2 e^{12}-e^{12+x} x)+e^{12+x^2} (2+2 x^2))}{x} \, dx\)
  3.51.92 \(\int \frac {-24+4 e^{x/2}+e^{x/4} (3-16 x)+16 x^2+e^x (24+24 x-16 x^2+16 x^3+e^{x/2} (-4+4 x)+e^{x/4} (-15+16 x-16 x^2))}{36+48 x^2+4 e^{x/2} x^2+16 x^4+e^{x/4} (-24 x-16 x^3)} \, dx\)
  3.51.93 \(\int \frac {6 x^4+24 x^9+12 x^3 \log ^2(2)}{x^3+3 x^4+3 x^5+x^6-3 x^8-6 x^9-3 x^{10}+3 x^{13}+3 x^{14}-x^{18}+(3 x^2+6 x^3+3 x^4-6 x^7-6 x^8+3 x^{12}) \log ^2(2)+(3 x+3 x^2-3 x^6) \log ^4(2)+\log ^6(2)} \, dx\)
  3.51.94 \(\int \frac {1}{5} e^{\frac {1}{5} (60+15 x+e^{-2+x} x+100 x^2)} (15+200 x+e^{-2+x} (1+x)) \, dx\)
  3.51.95 \(\int \frac {-2 x-x \log (15 x)+(2 x+2 x \log (15 x)) \log (x+x \log (15 x))}{(2+2 \log (15 x)) \log ^2(x+x \log (15 x))} \, dx\)
  3.51.96 \(\int \frac {-2+(16-15 e^x+12 x) \log (9+\log (5))}{1+(-5+5 e^x-6 x) \log (9+\log (5))} \, dx\)
  3.51.97 \(\int \frac {-48 x-48 x^2-192 x^3-152 x^4-62 x^5-4 x^6+6 x^7+(-16-16 x+4 x^2+4 x^3-x^4) \log (5)}{16 x+16 x^2-4 x^3-4 x^4+x^5} \, dx\)
  3.51.98 \(\int \frac {-1-x-4 e^{1024-4 x} x}{x} \, dx\)
  3.51.99 \(\int \frac {2-x^2}{-2 x-15 x^2+e^2 x^2-x^3} \, dx\)
  3.51.100 \(\int \frac {-3 e^{\frac {3+4 x}{x}}+5 x^2+2 x^3}{x^2} \, dx\)