3.27 Integrals 2601 to 2700

  3.27.1 \(\int \frac {20 e^{2 x}+40 e^x x+20 x^2+e^{\frac {9 x+8 x^3+e^x (4+8 x^2)}{10 e^x+10 x}} (32 e^{2 x} x+32 x^3+e^x (10-10 x+64 x^2))}{5 e^{2 x}+10 e^x x+5 x^2} \, dx\)
  3.27.2 \(\int \frac {e^{7 x+x^2+8 e^{7 x+x^2} x^3} (-96 x^2-224 x^3-64 x^4)}{e^{10}+e^{16 e^{7 x+x^2} x^3}+2 e^{5+8 e^{7 x+x^2} x^3}} \, dx\)
  3.27.3 \(\int \frac {-10 x-3 x^2+x^3+e^4 (5 x-x^2)+(-10+e^4 (5-x)-3 x+x^2) \log (3)+(15 x+14 x^2-2 x^3+e^4 (-10 x+x^2)+(20+e^4 (-10+x)+13 x-2 x^2) \log (3)) \log (x)+(5 x-x^2+(5-x) \log (3)+(-10 x+x^2+(-10+x) \log (3)) \log (x)) \log (x+\log (3))}{16 x^4+4 e^8 x^4+16 x^5+4 x^6+e^4 (-16 x^4-8 x^5)+(16 x^3+4 e^8 x^3+16 x^4+4 x^5+e^4 (-16 x^3-8 x^4)) \log (3)+(-16 x^4+8 e^4 x^4-8 x^5+(-16 x^3+8 e^4 x^3-8 x^4) \log (3)) \log (x+\log (3))+(4 x^4+4 x^3 \log (3)) \log ^2(x+\log (3))} \, dx\)
  3.27.4 \(\int \frac {-2-4 x+7 x^2-2 x^3}{-2 x+x^2} \, dx\)
  3.27.5 \(\int \frac {36-9 x+288 x^2-108 x^3}{4 x} \, dx\)
  3.27.6 \(\int \frac {-2 x^3+e^{-3+x} (4-4 x+x^2+x^3)+e^{2 x} (-4 x^2+e^{-3+x} (-2+6 x))+e^{e^{-1+x}+2 x} (-10 x^2+e^{-3+x} (-5+15 x)+e^{-1+x} (5 e^{-3+x} x-5 x^2))}{x^2} \, dx\)
  3.27.7 \(\int \frac {1}{4} (625-1250 e^{1-e^5+x^2} x) \, dx\)
  3.27.8 \(\int (1+2 e^{2 x}+(-24 e^x x+8 e^{2 x} x^2) \log (x^2)+(e^x (-12 x-6 x^2)+e^{2 x} (6 x^2+4 x^3)) \log ^2(x^2)+(72 x^3-48 e^x x^4+8 e^{2 x} x^5) \log ^3(x^2)+(36 x^3+e^x (-30 x^4-6 x^5)+e^{2 x} (6 x^5+2 x^6)) \log ^4(x^2)) \, dx\)
  3.27.9 \(\int \frac {-2-13 x+x^3-x^4+(2 x+x^2) \log (x)+(-5 x+x^2-x^3+x \log (x)) \log (e^{-x} (-60+12 x-12 x^2+12 \log (x)))}{(-5 x+x^2-x^3+x \log (x)) \log ^2(e^{-x} (-60+12 x-12 x^2+12 \log (x)))} \, dx\)
  3.27.10 \(\int \frac {-2-x+8 x^3+x^4+e^{2 e^{4 x-x \log (x)} x} (1+e^{4 x-x \log (x)} (4+12 x-4 x \log (x)))+e^{e^{4 x-x \log (x)} x} (8 x+2 x^2+e^{4 x-x \log (x)} (4 x^2+12 x^3-4 x^3 \log (x)))}{e^{2 e^{4 x-x \log (x)} x}-x+2 e^{e^{4 x-x \log (x)} x} x^2+x^4} \, dx\)
  3.27.11 \(\int \frac {5000 x^2+2000 e x^2+200 e^2 x^2-3125 x^3-2500 x^5+e^5 (-20000-640 e^3-32 e^4+37500 x-15625 x^2-10000 x^3+10000 x^6+e (-16000+15000 x-4000 x^3)+e^2 (-4800+1500 x-400 x^3))}{5000 e^5 x^5} \, dx\)
  3.27.12 \(\int \frac {e^{\frac {3 x-e^8 x+e^x x+\log (x^2 \log ^2(x))}{x}} (2+(2+e^x x^2) \log (x)-\log (x) \log (x^2 \log ^2(x)))}{x^2 \log (x)} \, dx\)
  3.27.13 \(\int \frac {10 e^x x+e^x (20 x+10 x^2) \log (x)}{4+5 e^x x^2 \log (x)} \, dx\)
  3.27.14 \(\int \frac {3-3 x^2-3 x^3+(4+4 x^2+8 x^3) \log (\frac {x^2 \log (3)}{1-2 x^2-2 x^3+x^4+2 x^5+x^6})+(1-x^2-x^3) \log ^2(\frac {x^2 \log (3)}{1-2 x^2-2 x^3+x^4+2 x^5+x^6})}{-3+3 x^2+3 x^3} \, dx\)
  3.27.15 \(\int \frac {e^{2 x}}{12+4 e^{\frac {1}{3+e^2}}} \, dx\)
  3.27.16 \(\int -8 e^{4-8 x} \, dx\)
  3.27.17 \(\int \frac {26-x-x^2+(26+x^2) \log (x)+x^2 \log ^2(x)}{x^2 \log ^2(x)} \, dx\)
  3.27.18 \(\int \frac {50 x^3 \log (-4+x)+(-200 x-50 x^2+25 x^3) \log ^2(-4+x)+(8 x^3-2 x^4) \log ^3(-4+x)+(100 x^2 \log (-4+x)+(-200+50 x) \log ^2(-4+x)+(24 x^2-2 x^3-x^4) \log ^3(-4+x)) \log (x)+(50 x \log (-4+x)+(100-25 x) \log ^2(-4+x)+(24 x+6 x^2-3 x^3) \log ^3(-4+x)) \log ^2(x)+(8+10 x-3 x^2) \log ^3(-4+x) \log ^3(x)+(4-x) \log ^3(-4+x) \log ^4(x)}{-62500 x^2+15625 x^3+(-7500 x^3+1875 x^4) \log (-4+x) \log (x)+((-7500 x^2+1875 x^3) \log (-4+x)+(-300 x^4+75 x^5) \log ^2(-4+x)) \log ^2(x)+((-600 x^3+150 x^4) \log ^2(-4+x)+(-4 x^5+x^6) \log ^3(-4+x)) \log ^3(x)+((-300 x^2+75 x^3) \log ^2(-4+x)+(-12 x^4+3 x^5) \log ^3(-4+x)) \log ^4(x)+(-12 x^3+3 x^4) \log ^3(-4+x) \log ^5(x)+(-4 x^2+x^3) \log ^3(-4+x) \log ^6(x)} \, dx\)
  3.27.19 \(\int \frac {e^{-x^2} (-x+(5+x) \log (5+x)+(5+x-10 x^2-2 x^3) \log (5+x) \log (\frac {12 x}{\log (5+x)}))}{(100+20 x) \log (5+x)} \, dx\)
  3.27.20 \(\int (-1+e^{1+4 e^{10}+8 x+16 x^2+e^5 (4+16 x)} (8+16 e^5+32 x)) \, dx\)
  3.27.21 \(\int \frac {-3+x \log (x)}{x} \, dx\)
  3.27.22 \(\int \frac {x^4+(-x^2-2 x^3) \log (4)+x^2 \log ^2(4)+e^x (e^4 (4 x^2-4 x^3+x^4)+e^4 (-8 x+8 x^2-2 x^3) \log (4)+e^4 (4-4 x+x^2) \log ^2(4))}{x^4-2 x^3 \log (4)+x^2 \log ^2(4)} \, dx\)
  3.27.23 \(\int \frac {18055103407718400-268738560 x \log ^4(x)+x^2 \log ^8(x)+e^{-\frac {e^{5+x} \log ^4(x)}{-134369280+x \log ^4(x)}} (537477120 e^{5+x} \log ^3(x)+134369280 e^{5+x} x \log ^4(x)+e^{5+x} (x-x^2) \log ^8(x))}{18055103407718400 x-268738560 x^2 \log ^4(x)+x^3 \log ^8(x)} \, dx\)
  3.27.24 \(\int \frac {1-x^2+\log (x)}{20+20 x+25 x^2+10 x^3+5 x^4+(20 x+10 x^2+10 x^3) \log (3)+5 x^2 \log ^2(3)+(20 x+10 x^2+10 x^3+10 x^2 \log (3)) \log (25)+5 x^2 \log ^2(25)+(20+10 x+10 x^2+10 x \log (3)+10 x \log (25)) \log (x)+5 \log ^2(x)} \, dx\)
  3.27.25 \(\int \frac {2-2 x+e^{16 x^2+8 x^3+x^4} (-2 x+193 x^2-16 x^3-64 x^4+4 x^5+4 x^6)}{e^{32 x^2+16 x^3+2 x^4} (-18 x+21 x^2-8 x^3+x^4)+e^{16 x^2+8 x^3+x^4} (-12 x+10 x^2-2 x^3) \log (-2 x+x^2)+(-2 x+x^2) \log ^2(-2 x+x^2)} \, dx\)
  3.27.26 \(\int \frac {-4 x+2 x^2+(-134 x-2 x^2+2 x \log (4 x^2)) \log (67+x-\log (4 x^2))+(134+2 x-2 \log (4 x^2)) \log ^2(67+x-\log (4 x^2))}{(-67 x-x^2+x \log (4 x^2)) \log ^2(67+x-\log (4 x^2))} \, dx\)
  3.27.27 \(\int \frac {30+30 e^4+e^{e-x^2} (5+10 x^2)}{36 e^{10}+e^{2+2 e-2 x^2}+e^6 (72+12 x)+e^2 (36+12 x+x^2)+e^{e-x^2} (12 e^6+e^2 (12+2 x))} \, dx\)
  3.27.28 \(\int \frac {e^{24} (-16+(-8 x-8 \log (3)) \log (x)+(5-x-x^2-2 x \log (3)-\log ^2(3)) \log ^2(x)) (-32+(-8 x-8 \log (3)) \log (x)+8 x \log ^2(x)+(x+2 x^2+2 x \log (3)) \log ^3(x))}{\log ^2(x) (16 x \log (x)+(8 x^2+8 x \log (3)) \log ^2(x)+(-5 x+x^2+x^3+2 x^2 \log (3)+x \log ^2(3)) \log ^3(x))} \, dx\)
  3.27.29 \(\int \frac {2 x-4 x^2+x^3+e^{3 x} (8 x+12 x^2)+e^x (6 x+20 x^2-2 x^3)+e^{2 x} (-16 x-27 x^2+x^3)}{4 e^x-8 e^{2 x}+4 e^{3 x}} \, dx\)
  3.27.30 \(\int \frac {27 x^3+27 x^4+27 x^5+9 x^6+(90 x+270 x^2+135 x^3+270 x^4+135 x^5) (i \pi +\log (4))^2+(450+1350 x+675 x^3+675 x^4) (i \pi +\log (4))^4+(2250+1125 x^3) (i \pi +\log (4))^6}{x^3+3 x^4+3 x^5+x^6+(15 x^3+30 x^4+15 x^5) (i \pi +\log (4))^2+(75 x^3+75 x^4) (i \pi +\log (4))^4+125 x^3 (i \pi +\log (4))^6} \, dx\)
  3.27.31 \(\int \frac {-80 x+(240-48 x-3 x^2) \log (2)+(-20 x+(48-12 x-x^2) \log (2)) \log (\frac {-20 x+(48-12 x-x^2) \log (2)}{4 x \log (2)})}{20 x^3+(-48 x^2+12 x^3+x^4) \log (2)} \, dx\)
  3.27.32 \(\int \frac {1}{4} (2+4 e^3-e^x+8 x) \, dx\)
  3.27.33 \(\int \frac {-1+2 x+e^{-2+e^4} (-20+40 x)+e^{-4+2 e^4} (-158+313 x+4 x^2)+e^{-6+3 e^4} (-580+1130 x+40 x^2)+e^{-8+4 e^4} (-841+1595 x+115 x^2+2 x^3)}{x+20 e^{-2+e^4} x+e^{-4+2 e^4} (158 x+2 x^2)+e^{-6+3 e^4} (580 x+20 x^2)+e^{-8+4 e^4} (841 x+58 x^2+x^3)} \, dx\)
  3.27.34 \(\int \frac {18+108 x+9 x^2+e^{e^x} (-54 x+e^x (-90+63 x^2-9 x^4))}{4-4 x^2+x^4} \, dx\)
  3.27.35 \(\int (3+e^{\frac {1}{2} (-1+2 x)} (-1-x)) \, dx\)
  3.27.36 \(\int \frac {e^{-2 e+2 e^4}}{-1+e^{-2 e+2 e^4} (-2+x)} \, dx\)
  3.27.37 \(\int \frac {e^{\frac {e^{2 x^4} (1-4 x+8 x^3+4 x^4) \log ^2(2)+e^{2 x^4} (-2+8 x-16 x^3-8 x^4) \log (2) \log (x)+e^{2 x^4} (1-4 x+8 x^3+4 x^4) \log ^2(x)}{x^2}} (e^{2 x^4} ((-2+8 x-16 x^3-8 x^4) \log (2)+(-2+4 x+8 x^3+16 x^4-32 x^5+64 x^7+32 x^8) \log ^2(2))+e^{2 x^4} (2-8 x+16 x^3+8 x^4+(4-8 x-16 x^3-32 x^4+64 x^5-128 x^7-64 x^8) \log (2)) \log (x)+e^{2 x^4} (-2+4 x+8 x^3+16 x^4-32 x^5+64 x^7+32 x^8) \log ^2(x))}{x^3} \, dx\)
  3.27.38 \(\int \frac {e^{3+\frac {e^3-3 x}{4 x}}+4 x^2}{4 x^2} \, dx\)
  3.27.39 \(\int \frac {10 e^4+e^8 (-15 x+18 x^4)+12 e^8 x^3 \log (4)+2 e^8 x^2 \log ^2(4)+(-24 e^4 x^3-8 e^4 x^2 \log (4)) \log (x)+8 x^2 \log ^2(x)}{9 e^8 x^3+6 e^8 x^2 \log (4)+e^8 x \log ^2(4)+(-12 e^4 x^2-4 e^4 x \log (4)) \log (x)+4 x \log ^2(x)} \, dx\)
  3.27.40 \(\int \frac {12 e^4}{13-26 x+13 x^2} \, dx\)
  3.27.41 \(\int \frac {10 e^3+e^{25-x^2} (x^2-2 x^4)}{-10 e^3 x+5 x^2+e^{25-x^2} x^3} \, dx\)
  3.27.42 \(\int -\frac {\log (3)}{3} \, dx\)
  3.27.43 \(\int \frac {-20-8 x-x^2+e^x (3+x)+(-1+e^5)^{e^{8 x}} (-1+e^{8 x} (32+8 x) \log (-1+e^5))}{16+8 x+x^2} \, dx\)
  3.27.44 \(\int \frac {64+(80 x^2+40 x^3) \log (\frac {10}{x})+(-40 x^2-40 x^3) \log ^2(\frac {10}{x})}{256+(320 x^2+160 x^3) \log ^2(\frac {10}{x})+(100 x^4+100 x^5+25 x^6) \log ^4(\frac {10}{x})} \, dx\)
  3.27.45 \(\int \frac {135 x+e^x (72+18 x)+(-18 e^x-27 x) \log (\frac {1}{2} (10 e^x x^4+15 x^5))}{2 e^x x^2+3 x^3} \, dx\)
  3.27.46 \(\int \frac {42 x+32 x^2+5 x^3+e^x (7 x-x^2-x^3)+(18+6 x+e^x (3-2 x-x^2)) \log (\frac {3+x}{5})}{3 x^4+x^5+(6 x^3+2 x^4) \log (\frac {3+x}{5})+(3 x^2+x^3) \log ^2(\frac {3+x}{5})} \, dx\)
  3.27.47 \(\int \frac {1}{4} (2500 x^3-1250 x^4+150 x^5+(-500 x^3+125 x^4) \log (4)+25 x^3 \log ^2(4)+(15000 x^2-8000 x^3+1000 x^4+(-3000 x^2+800 x^3) \log (4)+150 x^2 \log ^2(4)) \log ^2(5)+(20000 x-12000 x^2+1600 x^3+(-4000 x+1200 x^2) \log (4)+200 x \log ^2(4)) \log ^4(5)) \, dx\)
  3.27.48 \(\int \frac {e^{\frac {(-29-2 x) \log (4)+(1-\log (4)) \log (x)}{\log (4)}} (1+(-1-2 x) \log (4))}{x \log (4)} \, dx\)
  3.27.49 \(\int \frac {-32 x^4+64 x^5-48 x^6+16 x^7-2 x^8+(64 x^3-160 x^4+144 x^5-56 x^6+8 x^7) \log (5 e^{-3+x})+e^{e^x+x} (-25-25 e^x) \log ^3(5 e^{-3+x})}{25 \log ^3(5 e^{-3+x})} \, dx\)
  3.27.50 \(\int \frac {-75-x-2 x^2+6 e^{-x+x \log (x)} x^2 \log (x)}{3 x^2} \, dx\)
  3.27.51 \(\int \frac {75 x+45 x^3+60 x^4+e^x (10-5 x+2 x^3)}{15 x^3} \, dx\)
  3.27.52 \(\int \frac {1+2 x+2 x^2-2 x^3-x^4+e^{-4+x} (x+3 x^2+3 x^3+x^4)}{x+3 x^2+3 x^3+x^4} \, dx\)
  3.27.53 \(\int \frac {12-18 x+24 x^2-15 x^3+3 x^4+e^x (16 x-32 x^2+32 x^3-16 x^4+4 x^5)}{4 x-8 x^2+8 x^3-4 x^4+x^5} \, dx\)
  3.27.54 \(\int e^{\frac {1-e^{\frac {5}{2}+2 x} x-e^{5/2} x^2}{e^{5/2}}} (e^{2 x} (-1-2 x)-2 x) \, dx\)
  3.27.55 \(\int \frac {-2-8 x-2 x^2-10 x^3-8 x^4+(-4 x^2+22 x^3+24 x^4) \log (x)+(-2 x^2+11 x^3+12 x^4) \log ^2(x)+(2 x+8 x^2+(-2 x-8 x^2) \log (x)+(-x-4 x^2) \log ^2(x)) \log (1+4 x)}{(x+4 x^2) \log ^2(x)} \, dx\)
  3.27.56 \(\int \frac {2+e^{-5+x} (-4+4 x-x^2)+(8 x-8 x^2+2 x^3+e^x (8-8 x+2 x^2)) \log (x)+(8 x-8 x^2+2 x^3+e^x (4-3 x^2+x^3)) \log ^2(x)}{4-4 x+x^2} \, dx\)
  3.27.57 \(\int \frac {e^{2+\frac {2 x^2}{e^2}}+e^2 (-6+42 x+14 x^2)+e^{\frac {x^2}{e^2}} (e^2 (-1-14 x)-10 x^2+10 x^3)}{5 e^{2+\frac {2 x^2}{e^2}}+e^{2+\frac {x^2}{e^2}} (-30-20 x)+e^2 (45+60 x+20 x^2)} \, dx\)
  3.27.58 \(\int \frac {e^x (-3+x+x^2)-4 e^{2 x} \log (3)}{18 x^2+12 x^3+2 x^4+e^x (144 x+96 x^2+16 x^3) \log (3)+e^{2 x} (288+192 x+32 x^2) \log ^2(3)} \, dx\)
  3.27.59 \(\int \frac {e^x (2+4 x)+(1+2 x)^x (2 x+(1+2 x) \log (1+2 x))}{1+2 x} \, dx\)
  3.27.60 \(\int \frac {(8 x^4-x^5-6 x^6-x^7+(8 x^3-4 x^4-4 x^5) \log (3+x)+(-3 x^3+2 x^4+x^5) \log ^2(3+x)) \log ^3(-x+x^2)+e^{\frac {6}{x^2 \log ^2(-x+x^2)}} (-36+24 x+84 x^2+24 x^3+(-36-12 x+36 x^2+12 x^3) \log (-x+x^2)+(-3 x^3+2 x^4+x^5) \log ^3(-x+x^2))+e^{\frac {3}{x^2 \log ^2(-x+x^2)}} (36 x-24 x^2-84 x^3-24 x^4+(36-24 x-84 x^2-24 x^3) \log (3+x)+(36 x+12 x^2-36 x^3-12 x^4+(36+12 x-36 x^2-12 x^3) \log (3+x)) \log (-x+x^2)+(-8 x^3+4 x^4+4 x^5+(6 x^3-4 x^4-2 x^5) \log (3+x)) \log ^3(-x+x^2))}{(-3 x^3-4 x^4+2 x^5+4 x^6+x^7) \log ^3(-x+x^2)} \, dx\)
  3.27.61 \(\int \frac {1}{5} (20+120 x-42 x^2-45 x^2 \log (x)) \, dx\)
  3.27.62 \(\int \frac {-e^4-x+(-e^4-x) \log (x)+e^4 \log (x) \log (2 x \log (x))+((-e^8-2 e^4 x-x^2) \log (x)+x^x ((e^8+2 e^4 x+x^2) \log (x)+(e^8+2 e^4 x+x^2) \log ^2(x))) \log ^2(2 x \log (x))}{(e^8+2 e^4 x+x^2) \log (x) \log ^2(2 x \log (x))} \, dx\)
  3.27.63 \(\int \frac {-12 x^2+3 x^3+e (-12 x^2+3 x^3)+(24 x-6 x^2+e (12 x-3 x^2)) \log (-4+x)+(-12+3 x) \log ^2(-4+x)+(12 x^2-3 x^3+e (9 x^2-3 x^3)+(-24 x+6 x^2+e (-24 x+6 x^2)) \log (-4+x)+(12-3 x) \log ^2(-4+x)) \log (x)}{(-4 x^2+x^3+(8 x-2 x^2) \log (-4+x)+(-4+x) \log ^2(-4+x)) \log ^2(x)} \, dx\)
  3.27.64 \(\int \frac {e^{10+5 e^3+5 e^{10}+\frac {e^{10+5 e^3+5 e^{10}-10 e^5 x^2+5 x^4}}{2 x}-10 e^5 x^2+5 x^4} (-1-20 e^5 x^2+20 x^4)}{2 x^2} \, dx\)
  3.27.65 \(\int \frac {-20 x^2+(6 x-3 x^2-x^4) \log (4 x)+(-100+10 x^2 \log (4 x)) \log (\log ^2(4 x))+75 \log (4 x) \log ^2(\log ^2(4 x))}{x^4 \log (4 x)} \, dx\)
  3.27.66 \(\int \frac {-27+117 x+9 x^2-15 x^3+e^8 (-9+33 x-10 x^2-3 x^3+x^4)+(-3 x+9 x^2+3 x^3) \log (-x^3+3 x^4+x^5)}{e^8 (-9 x+33 x^2-10 x^3-3 x^4+x^5)} \, dx\)
  3.27.67 \(\int \frac {e^{-x} (2-4 x-20 e^x x-x \log (x^2))}{4 x} \, dx\)
  3.27.68 \(\int (x^2)^{16 x^2+8 x^3+x^4} (-32 x-16 x^2-2 x^3+(-32 x-24 x^2-4 x^3) \log (x^2)) \, dx\)
  3.27.69 \(\int (15-2 x+e^{-27+24 x+3 x^2} (1+24 x+6 x^2)-8 \log (x)+\log ^2(x)) \, dx\)
  3.27.70 \(\int \frac {1}{625} (1875+e^{\frac {1}{625} (6400+1120 x+49 x^2)} (1120+98 x)) \, dx\)
  3.27.71 \(\int \frac {e^{-4+2 e^x+2 x+4 x^2} (3-3 x)+2 x-x^2-2 e^x x^2-9 x^3+(-3 e^{-4+2 e^x+2 x+4 x^2}-x^2) \log (e^{4-2 e^x-2 x-4 x^2} (3 e^{-4+2 e^x+2 x+4 x^2}+x^2))}{3 e^{-4+2 e^x+3 x+4 x^2}+e^x x^2} \, dx\)
  3.27.72 \(\int \frac {1}{2} e^{-3+(-5 e^{x/2} x+20 x^5) \log (x)} (-10 e^{x/2}+40 x^4+(e^{x/2} (-10-5 x)+200 x^4) \log (x)) \, dx\)
  3.27.73 \(\int \frac {8 x+(5+48 x) \log (4)}{5 x \log (4)} \, dx\)
  3.27.74 \(\int \frac {-4+x^2+e^x (-4-4 x+x^2-x^3)}{4 x+x^3+e^x (4 x+x^3)} \, dx\)
  3.27.75 \(\int \frac {-2 x+(-11+2 x) \log (3)}{\log (3)} \, dx\)
  3.27.76 \(\int \frac {8+(3+8 x) \log (-12-32 x)}{(3+8 x) \log (-12-32 x)} \, dx\)
  3.27.77 \(\int \frac {5-6 x^2+2 x^3}{-5 x+9 x^2-6 x^3+x^4} \, dx\)
  3.27.78 \(\int (-15-5 e^x+5 x^2+(-3-e^x+x^2) \log (x)+(-18+e^x (-6-5 x)+16 x^2+(-3+e^x (-1-x)+3 x^2) \log (x)) \log (2 x)) \, dx\)
  3.27.79 \(\int \frac {25+305 x+191 x^2-71 x^3-52 x^4-6 x^5}{25 x+10 x^2+x^3} \, dx\)
  3.27.80 \(\int \frac {12 x-12 x^2-12 x^3+24 x^4-12 x^5+(-12+12 x+24 x^2-48 x^3+24 x^4) \log (2)+(-12 x+24 x^2-12 x^3) \log ^2(2)+(-16+44 x-40 x^2+44 x^3-40 x^4+12 x^5+(-16+44 x-88 x^2+80 x^3-24 x^4) \log (2)+(-16+44 x-40 x^2+12 x^3) \log ^2(2)) \log (\frac {1}{2} (4-3 x))}{(-4 x^2+11 x^3-10 x^4+3 x^5+(8 x-22 x^2+20 x^3-6 x^4) \log (2)+(-4+11 x-10 x^2+3 x^3) \log ^2(2)) \log ^2(\frac {1}{2} (4-3 x))} \, dx\)
  3.27.81 \(\int \frac {2 x^2 \log (12)+(2 x^2+(-4 x+x^2) \log (12)) \log (x)+(-2 x^2+(2-2 x) \log (12)) \log ^2(x)+\log (12) \log ^3(x)+(x^2 \log (12) \log (x)-2 x \log (12) \log ^2(x)+\log (12) \log ^3(x)) \log (\frac {5}{x \log ^2(x)})}{x^4 \log (x)-2 x^3 \log ^2(x)+x^2 \log ^3(x)} \, dx\)
  3.27.82 \(\int e^{-e^{2+e^4}-x+4 x \log (x)-8 e^2 x \log ^2(x)} (3+(4-16 e^2) \log (x)-8 e^2 \log ^2(x)) \, dx\)
  3.27.83 \(\int \frac {1+128 x+32 x^2}{4+x} \, dx\)
  3.27.84 \(\int \frac {-104+52 x-2 x^2-160 x^3+80 x^4-10 x^5}{16 x^2-8 x^3+x^4} \, dx\)
  3.27.85 \(\int \frac {e^5+e^{\frac {3+x}{e}} (-e-x)+e (2-4 x+4 x^3)}{e} \, dx\)
  3.27.86 \(\int \frac {180+72 x+4 e^{8+2 x^2} x+e^8 (168+72 x)+e^4 (348+144 x)+e^{x^2} (e^4 (-12-60 x-24 x^2)+e^8 (-12-56 x-24 x^2))}{9+18 e^4+9 e^8} \, dx\)
  3.27.87 \(\int \frac {97200-145800 x+8100 x^2-450 x^3+e^x (-87480-14580 x+12150 x^2+405 x^3-540 x^4+45 x^5)}{-1944-324 x+270 x^2+9 x^3-12 x^4+x^5} \, dx\)
  3.27.88 \(\int x^{-3+\frac {1-x}{x^2}} (e^{5 e^4+x-e^4 x \log (2)} (1-x+x^3-e^4 x^3 \log (2))+e^{5 e^4+x-e^4 x \log (2)} (-2+x) \log (x)) \, dx\)
  3.27.89 \(\int \frac {e^{-2 x} (e^{2 x} x^2+e^{\frac {e^{-2 x} (2 e^{2 x}-x^3)}{x}} (-2 e^{2 x}-2 x^3+2 x^4))}{x^2} \, dx\)
  3.27.90 \(\int (-3+6 x^2+4 x^3) \, dx\)
  3.27.91 \(\int \frac {-32 x^4+(8 x^2+80 x^4) \log (x)-24 x^2 \log ^2(x)+(-4+e^x) \log ^3(x)}{2 \log ^3(x)} \, dx\)
  3.27.92 \(\int -\frac {64 e^{\frac {32}{-45 x^2+18 x^2 \log (3)}}}{-45 x^3+18 x^3 \log (3)} \, dx\)
  3.27.93 \(\int \frac {e^{\frac {-4 x-x^3}{40-3 x-11 x^2+2 x^3-5 x^4+x^5+(-5+x) \log (5)}} (-160-164 x^2+22 x^3-49 x^4+16 x^5-5 x^6+2 x^7+(20+15 x^2-2 x^3) \log (5))}{1600-240 x-871 x^2+226 x^3-291 x^4+66 x^5+108 x^6-42 x^7+29 x^8-10 x^9+x^{10}+(-400+110 x+104 x^2-42 x^3+54 x^4-20 x^5+2 x^6) \log (5)+(25-10 x+x^2) \log ^2(5)} \, dx\)
  3.27.94 \(\int \frac {-80 \log (\frac {1}{2 x})+(80-80 \log (\frac {1}{2 x})) \log (x)+(20-20 \log (\frac {1}{2 x})) \log ^2(x)}{16+8 \log (x)+\log ^2(x)} \, dx\)
  3.27.95 \(\int \frac {-8 x^7+4 x^8+6 x^9-5 x^{10}+x^{11}+e^{\frac {256+32 x+x^2}{4 x^6-4 x^7+x^8}} (-8 x^7+12 x^8-6 x^9+x^{10})+e^{\frac {256+32 x+x^2}{4 x^6-4 x^7+x^8}} (3072+1344 x-1944 x^2-222 x^3-6 x^4) \log (1+x)}{-8 x^7+4 x^8+6 x^9-5 x^{10}+x^{11}} \, dx\)
  3.27.96 \(\int \frac {e^{-\frac {x^2}{1+x}} (e^{\frac {2 e^{-\frac {x^2}{1+x}}}{\log (4)}} (-4 x-2 x^2)+e^{\frac {x^2}{1+x}} (-1-2 x-x^2) \log (4))}{(1+2 x+x^2) \log (4)} \, dx\)
  3.27.97 \(\int \frac {-16 x+256 \sqrt [5]{e} x-256 x^2-1024 x^3+(-48+768 \sqrt [5]{e}-768 x-3072 x^2) \log (2)+(-16 x+256 \sqrt [5]{e} x+1024 x^3+(768 x+6144 x^2) \log (2)) \log (x) \log (\log (x))}{(x+256 e^{2/5} x+32 x^2+384 x^3+2048 x^4+4096 x^5+\sqrt [5]{e} (-32 x-512 x^2-2048 x^3)) \log (2) \log (x)} \, dx\)
  3.27.98 \(\int \frac {-1+e^4+4 e^6-\log (5)+\log (x)}{e^8+16 e^{12}+e^4 (8 e^6-2 x)-8 e^6 x+x^2+(-2 e^4-8 e^6+2 x) \log (5)+\log ^2(5)+(2 e^4+8 e^6-2 x-2 \log (5)) \log (x)+\log ^2(x)} \, dx\)
  3.27.99 \(\int \frac {500-200 x-455 x^2+200 x^3-20 x^4+e^4 (-190 x^2+80 x^3-8 x^4)+(-500-275 x+180 x^2-20 x^3+e^4 (-380 x+160 x^2-16 x^3)) \log (x)+e^4 (-190+80 x-8 x^2) \log ^2(x)}{125 x^2-50 x^3+5 x^4+e^4 (50 x^2-20 x^3+2 x^4)+(125 x-50 x^2+5 x^3+e^4 (100 x-40 x^2+4 x^3)) \log (x)+e^4 (50-20 x+2 x^2) \log ^2(x)} \, dx\)
  3.27.100 \(\int \frac {-90+21 x-114 x^2-23 x^3-2 x^4-30 x \log (x)}{81 x+81 x^2+27 x^3+3 x^4} \, dx\)