3.77 Integrals 7601 to 7700

  3.77.1 \(\int \frac {2+x+(-4-3 x) \log (x \log (2))}{e^{20} (24 x^3+24 x^4+6 x^5)} \, dx\)
  3.77.2 \(\int \frac {1}{15} (-243 x^2+5 x^4+e^x (162 x+81 x^2-4 x^3-x^4)) \, dx\)
  3.77.3 \(\int \frac {184884258895036416 x^{16} (-128 x^2+(192+64 x^2) \log (12+4 x^2))}{(-x+4 \log (12+4 x^2))^{16} (-3 x^2-x^4+(12 x+4 x^3) \log (12+4 x^2))} \, dx\)
  3.77.4 \(\int \frac {e^{71 x} (-10 x-354 x^2+71 x^3) \log (256)}{25-10 x+x^2} \, dx\)
  3.77.5 \(\int \frac {-40-8 x-8 x^2+(-40+2 x+14 x^2+6 x^3+4 x^4) \log (x)+(8+(8-2 x-4 x^2) \log (x)) \log (x^4 \log ^4(x))}{x \log (x)} \, dx\)
  3.77.6 \(\int \frac {1+2 x+4 x \log (e x)}{-2 x-2 x^2+4 x^2 \log (e x)+x \log (x \log (2))} \, dx\)
  3.77.7 \(\int \frac {-600 x^7-900 x^8-300 x^9+150 x^{10}+e^{\log ^2(x)} (-750 x^4-2700 x^5-3600 x^6-1050 x^7+1350 x^8+750 x^9-300 x^{10}+(-300 x^4-1200 x^5-1800 x^6-600 x^7+900 x^8+600 x^9-300 x^{10}) \log (x))+e^{2 \log ^2(x)} (-150 x-900 x^2-2250 x^3-2550 x^4-450 x^5+1800 x^6+1200 x^7-450 x^8-450 x^9+150 x^{10}+(-300 x-1800 x^2-4500 x^3-5100 x^4-900 x^5+3600 x^6+2400 x^7-900 x^8-900 x^9+300 x^{10}) \log (x))}{-1-6 x-15 x^2-17 x^3-3 x^4+12 x^5+8 x^6-3 x^7-3 x^8+x^9} \, dx\)
  3.77.8 \(\int -\frac {1}{3} 2^{1+4 x^3} 5^{2-2 x^3} x^2 \log (\frac {5}{4}) \, dx\)
  3.77.9 \(\int \frac {1+e^{1+x} x^2}{-x-5 e x^2+e^{1+x} x^2} \, dx\)
  3.77.10 \(\int e^{-1+36 x^2+4 e^{\frac {2 x^2}{e}} x^2-12 x^3+x^4+(12 x^3-2 x^4) \log ^2(25)+x^4 \log ^4(25)+e^{\frac {x^2}{e}} (24 x^2-4 x^3+4 x^3 \log ^2(25))} (e (72 x-36 x^2+4 x^3)+e^{\frac {2 x^2}{e}} (8 e x+16 x^3)+e (36 x^2-8 x^3) \log ^2(25)+4 e x^3 \log ^4(25)+e^{\frac {x^2}{e}} (48 x^3-8 x^4+e (48 x-12 x^2)+(12 e x^2+8 x^4) \log ^2(25))) \, dx\)
  3.77.11 \(\int -\frac {2 \log ^2(3)}{x^3} \, dx\)
  3.77.12 \(\int \frac {e^{\frac {-26-31 x-2 x^2+5 x^3}{-6-7 x+x^3}} (8+48 x+4 x^2-16 x^3+4 x^4)}{36+84 x+49 x^2-12 x^3-14 x^4+x^6} \, dx\)
  3.77.13 \(\int \frac {e^{-3/x} (180-15 x-50 x^2+28 e^{3/x} x^2+e^{\frac {3}{x}+x} (16 x^2+8 x^3+x^4)+e^{\frac {3}{x}+x^2} (32 x^3+16 x^4+2 x^5))}{16 x^2+8 x^3+x^4} \, dx\)
  3.77.14 \(\int \frac {e^{-\frac {-3+x}{x}} (-30-19 x-8 e^{\frac {-3+x}{x}} x^6)}{2 x^3} \, dx\)
  3.77.15 \(\int ((-512 x-512 x \log (2)) \log (x)+(768 x+768 x \log (2)) \log ^2(x)+(-384 x-384 x \log (2)) \log ^3(x)+(64 x+64 x \log (2)) \log ^4(x)) \, dx\)
  3.77.16 \(\int \frac {-25 x+(100 e^{2 e^{\frac {4 e^5+\log (5)}{e^5}}}-25 x) \log (4 e^{2 e^{\frac {4 e^5+\log (5)}{e^5}}}-x) \log (\log (4 e^{2 e^{\frac {4 e^5+\log (5)}{e^5}}}-x))}{(4 e^{2 e^{\frac {4 e^5+\log (5)}{e^5}}}-x) \log (4 e^{2 e^{\frac {4 e^5+\log (5)}{e^5}}}-x)} \, dx\)
  3.77.17 \(\int \frac {-1-2 x+2 \log (\log (2))}{-x+\log (\log (2))} \, dx\)
  3.77.18 \(\int \frac {3528+e^{2 e^{2 x}} (168-48 x)-1008 x+e^{e^{2 x}} (1554-444 x+e^{2 x} (180-420 x+60 x^2))}{3969-18522 x+24255 x^2-6174 x^3+441 x^4+e^{2 e^{2 x}} (144-672 x+880 x^2-224 x^3+16 x^4)+e^{e^{2 x}} (1512-7056 x+9240 x^2-2352 x^3+168 x^4)} \, dx\)
  3.77.19 \(\int \frac {-2 x \log (4)+\log (4) \log (x)-\log (4) \log (4 x)}{10 \log (2)} \, dx\)
  3.77.20 \(\int \frac {-12-9 x+3 x^2+e^4 (3 x+3 x^2)+e^2 (-6 x+6 x^2)+(6 x-6 x^2+e^2 (-6 x-6 x^2)) \log (x)+(3 x+3 x^2) \log ^2(x)}{20 x^3-5 x^4-5 e^4 x^4+e^2 (20 x^3-10 x^4)+(-4 x^3+x^4+e^4 x^4+e^2 (-4 x^3+2 x^4)) \log (3)+(-20 x^3+10 x^4+10 e^2 x^4+(4 x^3-2 x^4-2 e^2 x^4) \log (3)) \log (x)+(-5 x^4+x^4 \log (3)) \log ^2(x)+(40 x^2-10 x^3-10 e^4 x^3+e^2 (40 x^2-20 x^3)+(-8 x^2+2 x^3+2 e^4 x^3+e^2 (-8 x^2+4 x^3)) \log (3)+(-40 x^2+20 x^3+20 e^2 x^3+(8 x^2-4 x^3-4 e^2 x^3) \log (3)) \log (x)+(-10 x^3+2 x^3 \log (3)) \log ^2(x)) \log (\frac {4-x-e^2 x+x \log (x)}{-1-e^2+\log (x)})+(20 x-5 x^2-5 e^4 x^2+e^2 (20 x-10 x^2)+(-4 x+x^2+e^4 x^2+e^2 (-4 x+2 x^2)) \log (3)+(-20 x+10 x^2+10 e^2 x^2+(4 x-2 x^2-2 e^2 x^2) \log (3)) \log (x)+(-5 x^2+x^2 \log (3)) \log ^2(x)) \log ^2(\frac {4-x-e^2 x+x \log (x)}{-1-e^2+\log (x)})} \, dx\)
  3.77.21 \(\int \frac {-e^e+e^{2/x} (-4+2 x+x^2) \log ^2(2)+e^{\frac {1}{x}} (-4+6 x+2 x^2) \log ^2(2) \log (5)+(4 x+x^2) \log ^2(2) \log ^2(5)}{8+8 x+2 x^2} \, dx\)
  3.77.22 \(\int \frac {-x+2 x^2+e^{\frac {1+3 x-x^2}{x}} (1+x^2)}{x^2} \, dx\)
  3.77.23 \(\int \frac {6+x-5 \log (x)}{64+48 x+12 x^2+x^3+(240+120 x+15 x^2) \log (x)+(300+75 x) \log ^2(x)+125 \log ^3(x)} \, dx\)
  3.77.24 \(\int \frac {2 e^{4+2 e^x x}-4 e^{2+e^x x} \log (5)+2 \log ^2(5)+e^{\frac {4-e^{2+x+e^x x}+8 x+4 x^2+e^x \log (5)}{e^{2+e^x x}-\log (5)}} (e^{4+2 e^x x} (-1+e^x x)+(8 x+8 x^2) \log (5)-\log ^2(5)+e^x x \log ^2(5)+e^{2+e^x x} (-8 x-8 x^2+2 \log (5)+e^x (4 x+12 x^2+12 x^3+4 x^4-2 x \log (5))))}{e^{4+2 e^x x}-2 e^{2+e^x x} \log (5)+\log ^2(5)} \, dx\)
  3.77.25 \(\int \frac {25+4 x-2 x^2}{-1+x} \, dx\)
  3.77.26 \(\int \frac {1260+10 x-125 x^3-x^4+e^{8+4 x+x^2} (-10-3 x^3-2 x^4)}{-126 x^3+e^{8+4 x+x^2} x^3-x^4} \, dx\)
  3.77.27 \(\int \frac {1}{5} e^{-6+\frac {4 e^{2 x} x+e^{3+x} (20 x+4 x^2)+e^6 (25 x+10 x^2+x^3)}{5 e^6}} (e^{2 x} (8+16 x)+e^6 (50+40 x+6 x^2)+e^{3+x} (40+56 x+8 x^2)) \, dx\)
  3.77.28 \(\int \frac {(216+324 x+72 x^2-80 x^3-32 x^4) \log ^3(\frac {-24-25 x-6 x^2}{4+4 x+x^2})+(3456+9936 x+11304 x^2+6352 x^3+1760 x^4+192 x^5) \log ^4(\frac {-24-25 x-6 x^2}{4+4 x+x^2})}{16+14 x+3 x^2} \, dx\)
  3.77.29 \(\int \frac {-25 \log (5)+e^{\frac {e^x x+2 x^3 \log (5)}{\log (5)}} (e^x (-1-x)-6 x^2 \log (5))}{25 \log (5)} \, dx\)
  3.77.30 \(\int \frac {-4 x+28 x^2+16 x^3+e^x (-2 x-x^2)+(-12-6 x) \log (x)}{8 x+4 x^2} \, dx\)
  3.77.31 \(\int ((40-8 e^4-120 x+8 \log (5)) \log (x)+(20-4 e^4-120 x+4 \log (5)) \log ^2(x)) \, dx\)
  3.77.32 \(\int \frac {e^{-2 x} (e^4 (-1-2 x)+x^2-4 e^2 x^2+4 e^{2 x} x^2-2 x^3)}{x^2} \, dx\)
  3.77.33 \(\int \frac {436+784 x-13 x^2+4 x^3+2 x^4+(-16+8 x+7 x^2-2 x^3-x^4) \log (3)}{16-8 x-7 x^2+2 x^3+x^4} \, dx\)
  3.77.34 \(\int \frac {(-32+16 x^5 \log ^8(5)-2 x^{10} \log ^{16}(5)) \log (x)+(16-8 x^5 \log ^8(5)+x^{10} \log ^{16}(5)+(-128+24 x^5 \log ^8(5)+2 x^{10} \log ^{16}(5)) \log (x)) \log (x^2)}{x^9 \log ^{16}(5) \log ^2(x^2)} \, dx\)
  3.77.35 \(\int \frac {e^{2+x+x^2}+5 x+5 x^2+\log (3)+(5 x^2+e^{2+x+x^2} (-1+x+2 x^2)-\log (3)) \log (x)}{5 x^2} \, dx\)
  3.77.36 \(\int \frac {e^{-x} (e^5 (-180-36 x)+e^5 (-90-18 x) \log (4)+(e^5 (-126 x-18 x^2)+e^5 (-63 x-9 x^2) \log (4)) \log (x^2))}{(125 x+75 x^2+15 x^3+x^4) \log ^2(x^2)} \, dx\)
  3.77.37 \(\int \frac {-500+2040 x-3140 x^2+2180 x^3-600 x^4+20 x^5+e^{\frac {2 e^4 x}{4-8 x+4 x^2}} (-20+80 x-120 x^2+80 x^3-20 x^4)+e^{\frac {e^4 x}{4-8 x+4 x^2}} (200-808 x+1228 x^2-836 x^3+220 x^4-4 x^5+e^4 (x^2+x^3))}{e^{x+\frac {e^4 x}{4-8 x+4 x^2}} (40-120 x+120 x^2-40 x^3)+e^{x+\frac {2 e^4 x}{4-8 x+4 x^2}} (-4+12 x-12 x^2+4 x^3)+e^x (-100+300 x-300 x^2+100 x^3)} \, dx\)
  3.77.38 \(\int \frac {8+(-3+2 x+x^2) \log (4)+e^{2 x} (4+8 x+4 x^2+(1+4 x+5 x^2+2 x^3) \log (4))}{(1+2 x+x^2) \log (4)} \, dx\)
  3.77.39 \(\int -\frac {1}{3 x} \, dx\)
  3.77.40 \(\int -\frac {3 e \log (i \pi +\log (6))}{x^2} \, dx\)
  3.77.41 \(\int \frac {1}{10} (4+5 e) \, dx\)
  3.77.42 \(\int \frac {e^8}{1-14 e^4+49 e^8} \, dx\)
  3.77.43 \(\int \frac {-60 x^2+15 x^3+e^{\frac {-4-2 x+x \log (-4+x)}{x}} (240-60 x-15 x^2)+(120 x+30 x^2-15 x^3+e^{\frac {-4-2 x+x \log (-4+x)}{x}} (-60 x+15 x^2)) \log (-2+e^{\frac {-4-2 x+x \log (-4+x)}{x}}-x)}{(8 x+2 x^2-x^3+e^{\frac {-4-2 x+x \log (-4+x)}{x}} (-4 x+x^2)) \log ^2(-2+e^{\frac {-4-2 x+x \log (-4+x)}{x}}-x)} \, dx\)
  3.77.44 \(\int \frac {e^{e^{-2+2 x}} (e^{\frac {2 (30+x)}{3}} (-3-2 x) \log (4)-6 e^{-2+2 x+\frac {2 (30+x)}{3}} x \log (4))}{3+6 e^{e^{-2+2 x}+\frac {2 (30+x)}{3}} x+3 e^{2 e^{-2+2 x}+\frac {4 (30+x)}{3}} x^2} \, dx\)
  3.77.45 \(\int -\frac {1}{10+2 x+(20+4 x) \log (75+30 x+3 x^2)+(10+2 x) \log ^2(75+30 x+3 x^2)} \, dx\)
  3.77.46 \(\int \frac {6+9 x+8 x^2+4 x^3}{3 x+2 x^2} \, dx\)
  3.77.47 \(\int \frac {-\frac {3 e^2}{x}+6 x-3 e^3 x-2 x^2}{3 x} \, dx\)
  3.77.48 \(\int \frac {e^{\frac {-3 x+3 e^{20} x+4 x^2-2 x^3-x^2 \log (5)}{-3+3 e^{20}+3 x}} (3+3 e^{40}-8 x+10 x^2-4 x^3+e^{20} (-6+8 x-6 x^2)+(2 x-2 e^{20} x-x^2) \log (5))}{3+3 e^{40}-6 x+3 x^2+e^{20} (-6+6 x)} \, dx\)
  3.77.49 \(\int \frac {5 x^2-15 x^2 \log (\frac {x}{3}) \log (\log (\frac {x}{3}))+(2-40 x-15 x^2) \log (\frac {x}{3}) \log ^2(\log (\frac {x}{3}))}{2 \log (\frac {x}{3}) \log ^2(\log (\frac {x}{3}))} \, dx\)
  3.77.50 \(\int \frac {e^3 (5 x-16 x^2+x^3+2 x^4+(-15-5 x) \log (9+3 x)+\frac {(-x^2+\log (9+3 x)) (e^3 (-75 x^2+5 x^3+7 x^4-x^5)+e^3 (75-5 x-7 x^2+x^3) \log (9+3 x))}{e^3})}{(-x^2+\log (9+3 x)) (-75 x^2+5 x^3+7 x^4-x^5+(75-5 x-7 x^2+x^3) \log (9+3 x))} \, dx\)
  3.77.51 \(\int \frac {(-10+4 x+e^x (50+10 x-32 x^2+8 x^3)-10 \log (2 x)) \log (\frac {e^x (5 x-2 x^2)-x \log (2 x)}{-5+2 x})}{e^x (25 x-20 x^2+4 x^3)+(-5 x+2 x^2) \log (2 x)} \, dx\)
  3.77.52 \(\int \frac {e-e \log (x)}{3 e x^2+e^{5+4 e^7} x^2} \, dx\)
  3.77.53 \(\int \frac {2 x^3+4 x^4+2 x^5+e^{\frac {e^{5+x}+e^{e^x} (-x-x^2)}{x+x^2}} (e^{5+x} (1+x-x^2)+e^{e^x+x} (x^2+2 x^3+x^4))}{x^2+2 x^3+x^4} \, dx\)
  3.77.54 \(\int e^{16 x^2+25 e^{2 x} x^2+e^{2 \log ^4(2)} x^2-8 x^3+x^4+e^{\log ^4(2)} (8 x^2-10 e^x x^2-2 x^3)+e^x (-40 x^2+10 x^3)} (32 x+2 e^{2 \log ^4(2)} x-24 x^2+4 x^3+e^{2 x} (50 x+50 x^2)+e^x (-80 x-10 x^2+10 x^3)+e^{\log ^4(2)} (16 x-6 x^2+e^x (-20 x-10 x^2))) \, dx\)
  3.77.55 \(\int \frac {e^{-4-\log ^2((9 x+x \log (3)) \log (x))} (-4-4 \log (x)+(-2-2 \log (x)) \log ((9 x+x \log (3)) \log (x)))}{x (9 x+x \log (3))^4 \log ^5(x)} \, dx\)
  3.77.56 \(\int \frac {-10267500+5476000 x-547600 x^2+(8556250-4107000 x+273800 x^2) \log (x)+(-1711250+684500 x) \log ^2(x)}{x^3} \, dx\)
  3.77.57 \(\int \frac {-1-e^2+11 x-5 x^2}{2 e^2-2 x+10 x^2} \, dx\)
  3.77.58 \(\int \frac {625+523 x-48 x^2-e^{3 x} x^2+x^3+e^{2 x} (1250 x^2-102 x^3+2 x^4)+e^x (-1-2 x-390625 x^2+63750 x^3-3851 x^4+102 x^5-x^6)}{e^{3 x} x^2+e^{2 x} (-1250 x^2+102 x^3-2 x^4)+e^x (390625 x^2-63750 x^3+3851 x^4-102 x^5+x^6)} \, dx\)
  3.77.59 \(\int \frac {-2 x^2 \log (3)+2 x \log (3) \log (4)+(2 x^3+4 x^5+(-2 x^2-6 x^4) \log (4)+2 x^3 \log ^2(4)) \log (\frac {3}{x})+(4 x^4 \log (3)-6 x^3 \log (3) \log (4)+2 x^2 \log (3) \log ^2(4)) \log (\frac {3}{x}) \log (\log (\frac {3}{x}))+(-2 \log (3)+(2 x+4 x^3-2 x^2 \log (4)) \log (\frac {3}{x})+(4 x^2 \log (3)-2 x \log (3) \log (4)) \log (\frac {3}{x}) \log (\log (\frac {3}{x}))) \log (\frac {x+\log (3) \log (\log (\frac {3}{x}))}{\log (3)})}{x^2 \log (\frac {3}{x})+x \log (3) \log (\frac {3}{x}) \log (\log (\frac {3}{x}))} \, dx\)
  3.77.60 \(\int \frac {5+e^{e^{16 e^2}}}{x} \, dx\)
  3.77.61 \(\int \frac {-6 x^2-30 x^3+(-3-8 x+6 x^3) \log (x)+(-3-4 x+2 x^3) \log ^2(x)}{2 x^3 \log ^4(x)} \, dx\)
  3.77.62 \(\int \frac {20 e^5+20 e^{5+x}+(20+20 e^x) \log (-e^{e^3}+e^x+x)}{e^x (-16+40 e^{10}-25 e^{20})+e^{e^3} (16-40 e^{10}+25 e^{20})-16 x+40 e^{10} x-25 e^{20} x+(e^x (80 e^5-100 e^{15})+e^{e^3} (-80 e^5+100 e^{15})+80 e^5 x-100 e^{15} x) \log (-e^{e^3}+e^x+x)+(e^x (40-150 e^{10})+e^{e^3} (-40+150 e^{10})+40 x-150 e^{10} x) \log ^2(-e^{e^3}+e^x+x)+(100 e^{5+e^3}-100 e^{5+x}-100 e^5 x) \log ^3(-e^{e^3}+e^x+x)+(25 e^{e^3}-25 e^x-25 x) \log ^4(-e^{e^3}+e^x+x)} \, dx\)
  3.77.63 \(\int \frac {e^{e^{5-x}} (4 e^5-4 e^{5-x} x)+e^{e^{5-x}} (-2+2 e^x) \log (e^x-x)+e^{e^{5-x}} (-e^5+e^{5-x} x) \log ^2(e^x-x)}{e^x-x} \, dx\)
  3.77.64 \(\int \frac {(-2-2 x^2+4 x^3) \log (\frac {1+3 x-x^2+x^3}{x})}{x+3 x^2-x^3+x^4} \, dx\)
  3.77.65 \(\int \frac {-1536-400 x+96 x^2+25 x^3+e^x (-768-8 x+146 x^2+25 x^3)+(-8 x-4 e^x x+4 x^2) \log (\frac {4 x^2}{2+e^x-x})}{160 x-30 x^3-5 x^4+e^x (80 x+40 x^2+5 x^3)} \, dx\)
  3.77.66 \(\int e^{-e^{1+x^2}+e (5+2 x)} (7+2 x+e (14 x+2 x^2)+e^{1+x^2} (-14 x^2-2 x^3)) \, dx\)
  3.77.67 \(\int \frac {e^{39-e^3-x} (1+x)+(e^{39-e^3-x}+x) \log (\frac {x}{e^{39-e^3-x}+x})}{e^{39-e^3-x}+x} \, dx\)
  3.77.68 \(\int \frac {1}{5} e^{\frac {1}{5} (5-7 x)} x^{e^{\frac {1}{5} (5-7 x)} (x+x^2)} (5+5 x+(5+3 x-7 x^2) \log (x)) \, dx\)
  3.77.69 \(\int \frac {-16 e^{3 x}+625 x-375 x^2-1000 x^3+640 x^4+384 x^5-256 x^6+e^{2 x} (80+124 x-162 x^2+8 x^3)+e^x (-100-560 x+547 x^2+437 x^3-392 x^4+16 x^5)}{8 e^{3 x} x^9-1000 x^{12}+2400 x^{13}-1920 x^{14}+512 x^{15}+e^{2 x} (-120 x^{10}+96 x^{11})+e^x (600 x^{11}-960 x^{12}+384 x^{13})} \, dx\)
  3.77.70 \(\int \frac {1}{5} (-e^{\frac {60-x}{15}}+e^{-4+x} (-15-15 x)) \, dx\)
  3.77.71 \(\int \frac {-3 x^3-x^4+e^x (-2 x+x^2)+e^{x^2} (e^2 (-12 x^2-4 x^3)+e^{2+x} (-8+8 x^3))}{4 e^{2+x+x^2} x^2+e^x x^3} \, dx\)
  3.77.72 \(\int \frac {-4 x^5+48 x^5 \log ^2(4)+12 x^5 \log (x)}{320 \log ^6(4)+240 \log ^4(4) \log (x)+60 \log ^2(4) \log ^2(x)+5 \log ^3(x)} \, dx\)
  3.77.73 \(\int \frac {-x^2 \log (x)+e^{\frac {4+6 e^{25-5 e^x} x^2}{x}} (x+(-4 \log (x)+e^{25-5 e^x} (6 x^2-30 e^x x^3) \log (x)) \log (\log (x)))}{x^2 \log (x)} \, dx\)
  3.77.74 \(\int e^{-2 x} (1-2 x) \, dx\)
  3.77.75 \(\int \frac {e^{-4 x} (-5120+37888 x-102400 x^2+114688 x^3-32768 x^4-16384 x^5-4 e^{4 x} x^{16}+e^x x^2 (-4096 x^2+22272 x^3-38400 x^4+17408 x^5+6144 x^6)+e^{2 x} x^4 (-1152 x^4+4032 x^5-3072 x^6-768 x^7)+e^{3 x} x^6 (-128 x^6+208 x^7+32 x^8))}{x^{21}} \, dx\)
  3.77.76 \(\int \frac {-4 x^4+16 x^5+16 e^4 x^5+16 x^6+(4 x^3+4 e^4 x^3+4 x^4) \log (1+e^4+x)}{1024 x^5-4096 x^6+5120 x^7-5120 x^9+4096 x^{10}-1024 x^{11}+e^4 (1024 x^5-5120 x^6+10240 x^7-10240 x^8+5120 x^9-1024 x^{10})+(1280 x^4-3840 x^5+2560 x^6+2560 x^7-3840 x^8+1280 x^9+e^4 (1280 x^4-5120 x^5+7680 x^6-5120 x^7+1280 x^8)) \log (1+e^4+x)+(640 x^3-1280 x^4+1280 x^6-640 x^7+e^4 (640 x^3-1920 x^4+1920 x^5-640 x^6)) \log ^2(1+e^4+x)+(160 x^2-160 x^3-160 x^4+160 x^5+e^4 (160 x^2-320 x^3+160 x^4)) \log ^3(1+e^4+x)+(20 x-20 x^3+e^4 (20 x-20 x^2)) \log ^4(1+e^4+x)+(1+e^4+x) \log ^5(1+e^4+x)} \, dx\)
  3.77.77 \(\int e^{1-\log ^2(-4 x) \log (x)} (2 x-4 e^4 x+2 e^8 x+(-x+2 e^4 x-e^8 x) \log ^2(-4 x)+(-2 x+4 e^4 x-2 e^8 x) \log (-4 x) \log (x)) \, dx\)
  3.77.78 \(\int \frac {1}{3} (1+2 x+e^{5+x} (1+x)-\log (\frac {x}{4})) \, dx\)
  3.77.79 \(\int \frac {-9+e^{e^x} (-3-3 e^x x-6 \log (5))+e^{2 e^x} (-\log (5)-\log ^2(5))}{-90+45 x+e^{e^x} (15 x+(-60+30 x) \log (5))+e^{2 e^x} (5 x \log (5)+(-10+5 x) \log ^2(5))} \, dx\)
  3.77.80 \(\int \frac {3-12 \log (2)}{\log (2)} \, dx\)
  3.77.81 \(\int \frac {-8 e^{e^5}+8 x+24 x^2+\sqrt [4]{x^2} (2 e^{e^5}-2 x-6 x^2)+(8 e^{e^5}+8 x+8 x^2+\sqrt [4]{x^2} (-3 e^{e^5}-3 x-3 x^2)) \log (\frac {x}{e^{2 e^5}+x^2+2 x^3+x^4+e^{e^5} (2 x+2 x^2)})}{(2 e^{e^5}+2 x+2 x^2) \log ^2(\frac {x}{e^{2 e^5}+x^2+2 x^3+x^4+e^{e^5} (2 x+2 x^2)})} \, dx\)
  3.77.82 \(\int \frac {2500-10000 x+6250 x^2-1250 x^3+e (-200+200 x-50 x^2)+e^2 (-4+4 x-x^2)}{7500-7500 x+1875 x^2} \, dx\)
  3.77.83 \(\int \frac {e^{-x} (-1+(1-x) \log (-\frac {x}{2})-\log ^2(-\frac {x}{2}))}{\log ^2(-\frac {x}{2})} \, dx\)
  3.77.84 \(\int \frac {4 e^2-4 x^2-4 \log (x)}{1+e^4-2 x^2+x^4+e^2 (-2+2 x^2)+(2-2 e^2-2 x^2) \log (x)+\log ^2(x)} \, dx\)
  3.77.85 \(\int \frac {e^x (15-5 x)+(2+e^x (-2-x)+x) \log (-1+e^x)}{(3+e^x (-3+x)-x) \log (-1+e^x)} \, dx\)
  3.77.86 \(\int \frac {1}{3} (3+e^3-e^{1+x}-2 e x+e^3 \log (\frac {x}{4})) \, dx\)
  3.77.87 \(\int \frac {2-4 x-4 x \log (2 x)}{x} \, dx\)
  3.77.88 \(\int \frac {e^{-2 x} (-18 e^x x^2+e^{2 x} (-36 x-18 x^2-114 x^3)+(-18 x^3+e^x (-36 x-36 x^2+96 x^3-114 x^4)+e^{2 x} (-72-36 x+114 x^3+722 x^4)) \log (x)+(18 e^{2 x} x^2+(18 e^x x^3+e^{2 x} (36 x-114 x^3)) \log (x)) \log (\log (x)))}{9 x^3 \log (x)} \, dx\)
  3.77.89 \(\int -2 x \, dx\)
  3.77.90 \(\int \frac {-60+140 \log (\frac {\log (5)}{3})+85 \log ^2(\frac {\log (5)}{3})}{36-240 x+400 x^2+(-204+680 x) \log (\frac {\log (5)}{3})+289 \log ^2(\frac {\log (5)}{3})} \, dx\)
  3.77.91 \(\int \frac {3 x+3 \log (3)+e^x (x+\log (3))+(-6 x-3 \log (3)+e^x (-2 x+x^2+(-1+x) \log (3))) \log (x)}{-10 x^4-20 x^3 \log (3)-10 x^2 \log ^2(3)+(3 x^2+3 x \log (3)+e^x (x^2+x \log (3))) \log (x)} \, dx\)
  3.77.92 \(\int (-902+e^{5 x} (-1-5 x)+2 x-\log (x)) \, dx\)
  3.77.93 \(\int \frac {5184+432 x-1740 x^2+518 x^3-62 x^4+3 x^5+(3456+864 x-1010 x^2+194 x^3-12 x^4) \log (4+3 x)+(864+360 x-192 x^2+18 x^3) \log ^2(4+3 x)+(96+56 x-12 x^2) \log ^3(4+3 x)+(4+3 x) \log ^4(4+3 x)}{5184+720 x-1604 x^2+491 x^3-62 x^4+3 x^5+(3456+960 x-952 x^2+188 x^3-12 x^4) \log (4+3 x)+(864+368 x-186 x^2+18 x^3) \log ^2(4+3 x)+(96+56 x-12 x^2) \log ^3(4+3 x)+(4+3 x) \log ^4(4+3 x)} \, dx\)
  3.77.94 \(\int \frac {243 x^2+108 x^3-270 x^4-252 x^5-77 x^6-8 x^7}{e^{64/3}} \, dx\)
  3.77.95 \(\int \frac {-12 x+4 x^3+4 x^5+(-24 x-8 x^5) \log (x)}{9-6 x^2-5 x^4+2 x^6+x^8} \, dx\)
  3.77.96 \(\int \frac {1}{3} e^{-x} (-3+3 e^x+3 x+(2-2 x) \log (3)) \, dx\)
  3.77.97 \(\int \frac {(\frac {6+11 x+5 x^2+e^x (8 x+5 x^2)}{2+x})^x (16 x+20 x^2+5 x^3+e^x (16 x+36 x^2+23 x^3+5 x^4)+(12+28 x+21 x^2+5 x^3+e^x (16 x+18 x^2+5 x^3)) \log (\frac {6+11 x+5 x^2+e^x (8 x+5 x^2)}{2+x}))}{12+28 x+21 x^2+5 x^3+e^x (16 x+18 x^2+5 x^3)} \, dx\)
  3.77.98 \(\int \frac {e^x x+(1-2 x+e^x (-4 x-x^2)) \log (x)+(1+e^x (3+x)) \log ^2(x)+(e^x (1-2 x-x^2) \log (x)+e^x (1+x) \log ^2(x)) \log (\frac {x^2}{5 \log (x)})}{\log (x)} \, dx\)
  3.77.99 \(\int \frac {-4+256 x^3-160 x^4+24 x^5+e^{x^2} (1+8 x-64 x^3+40 x^4-38 x^5+16 x^6-2 x^7)+(8-256 x^3+160 x^4-24 x^5+e^{x^2} (-2+64 x^3-40 x^4+6 x^5)) \log (4-e^{x^2})+(-4+e^{x^2}) \log ^2(4-e^{x^2})}{-4+e^{x^2}+(8-2 e^{x^2}) \log (4-e^{x^2})+(-4+e^{x^2}) \log ^2(4-e^{x^2})} \, dx\)
  3.77.100 \(\int \frac {1}{5} (10-12 x^2 \log (5)) \, dx\)