3.75 Integrals 7401 to 7500

  3.75.1 \(\int \frac {32+4 x^2-29 x^3+x^5+8 x^6}{32 x-32 x^4+8 x^7} \, dx\)
  3.75.2 \(\int \frac {e^{12} (128-320 x+352 x^2-240 x^3+120 x^4-44 x^5+10 x^6-x^7)+e^{\frac {1+4 e^3 x+e^6 (-8 x+14 x^2-2 x^3)+e^9 (-16 x^2+20 x^3-4 x^4)+e^{12} (16 x^2-40 x^3+33 x^4-10 x^5+x^6)}{e^{12} (16-32 x+24 x^2-8 x^3+x^4)}} (-4 x+e^3 (-8 x-12 x^2)+e^6 (16 x-32 x^2-16 x^3+2 x^4)+e^9 (64 x^2-88 x^3+12 x^4)+e^{12} (32-80 x+16 x^2+168 x^3-214 x^4+99 x^5-22 x^6+2 x^7))}{e^{12} (-32 x^2+80 x^3-80 x^4+40 x^5-10 x^6+x^7)} \, dx\)
  3.75.3 \(\int \frac {-15-x-16 x^2-60 x^3+12 x^4-128 x^5+64 x^7-256 x^8+(15+10 x+3 x^2+240 x^3+100 x^4+24 x^5+48 x^8) \log (x)+(-5-80 x^3) \log ^2(x)}{9 x^2+6 x^3+x^4+72 x^5+48 x^6+8 x^7+144 x^8+96 x^9+16 x^{10}+(-6 x^2-2 x^3-48 x^5-16 x^6-96 x^8-32 x^9) \log (x)+(x^2+8 x^5+16 x^8) \log ^2(x)} \, dx\)
  3.75.4 \(\int \frac {-1-5 e^x x^2-10 x^3}{5 x^2} \, dx\)
  3.75.5 \(\int \frac {-4 x+(-3+4 x) \log (\frac {1}{3} (-3+4 x))}{-3 x^2+4 x^3} \, dx\)
  3.75.6 \(\int \frac {-32+(32-2 x) \log (x)+(2 x \log (x)-32 \log (x) \log (\frac {x}{\log (x)})) \log (-x+16 \log (\frac {x}{\log (x)}))}{-x^3 \log (x)+16 x^2 \log (x) \log (\frac {x}{\log (x)})+(-2 x^2 \log (x)+32 x \log (x) \log (\frac {x}{\log (x)})) \log (-x+16 \log (\frac {x}{\log (x)}))+(-x \log (x)+16 \log (x) \log (\frac {x}{\log (x)})) \log ^2(-x+16 \log (\frac {x}{\log (x)}))} \, dx\)
  3.75.7 \(\int \frac {x^{\frac {4}{-2 x+\log ^4(3+e^{3-x})}} (-24 x-8 e^{3-x} x+(12+4 e^{3-x}) \log ^4(3+e^{3-x})+(24 x+8 e^{3-x} x) \log (x)+16 e^{3-x} x \log ^3(3+e^{3-x}) \log (x))}{12 x^3+4 e^{3-x} x^3+(-12 x^2-4 e^{3-x} x^2) \log ^4(3+e^{3-x})+(3 x+e^{3-x} x) \log ^8(3+e^{3-x})} \, dx\)
  3.75.8 \(\int e^x (-2-x) \, dx\)
  3.75.9 \(\int -\frac {8 x}{5 x^4+10 x^2 \log (3)+5 \log ^2(3)} \, dx\)
  3.75.10 \(\int \frac {e^{\frac {4 e^{2 \log ^2(x^2)} (1-x)}{x^2}+2 \log ^2(x^2)} (-8+4 x+(32-32 x) \log (x^2))}{x^3} \, dx\)
  3.75.11 \(\int \frac {e^{\frac {3 x^3-e^{x^2} x^3+x^4-x^3 \log (x)}{-3+3 x}} (-8 x^2+x^3+3 x^4+e^{x^2} (3 x^2-2 x^3+2 x^4-2 x^5)+(3 x^2-2 x^3) \log (x))}{15-30 x+15 x^2} \, dx\)
  3.75.12 \(\int \frac {-45 x-78 x^2-48 x^3-12 x^4-x^5+(-45-51 x-21 x^2-3 x^3) \log (5+4 x+x^2)+(-15 x^2-12 x^3-3 x^4+(-15 x-12 x^2-3 x^3) \log (5+4 x+x^2)+(5 x^3+4 x^4+x^5+(5 x^2+4 x^3+x^4) \log (5+4 x+x^2)) \log (x+\log (5+4 x+x^2))) \log (\frac {-3+x \log (x+\log (5+4 x+x^2))}{x}) \log (\log (\frac {-3+x \log (x+\log (5+4 x+x^2))}{x}))}{(-15 x^2-12 x^3-3 x^4+(-15 x-12 x^2-3 x^3) \log (5+4 x+x^2)+(5 x^3+4 x^4+x^5+(5 x^2+4 x^3+x^4) \log (5+4 x+x^2)) \log (x+\log (5+4 x+x^2))) \log (\frac {-3+x \log (x+\log (5+4 x+x^2))}{x}) \log ^2(\log (\frac {-3+x \log (x+\log (5+4 x+x^2))}{x}))} \, dx\)
  3.75.13 \(\int \frac {-24+20 x-9 x^2+5 x^3-x^4+(6 x-5 x^2+x^3) \log (\frac {e^{-\frac {-4+x^2}{x}} (15-5 x)}{-6+3 x})}{6 x-5 x^2+x^3} \, dx\)
  3.75.14 \(\int \frac {e^{\frac {2 (4 x^2+x^3+\log (\frac {15}{40+3 e^x}))}{4 x^2+x^3}} (e^x (-24 x-6 x^2)+(-640+e^x (-48-18 x)-240 x) \log (\frac {15}{40+3 e^x}))}{640 x^3+320 x^4+40 x^5+e^x (48 x^3+24 x^4+3 x^5)} \, dx\)
  3.75.15 \(\int \frac {e^{-e^2} (e^{e^2} (36 x^3+12 x^5+x^7)+e^{\frac {e^{-e^2} (-4-x^2+6 x^3+x^5)}{6 x^2+x^4}} (48+16 x^2+36 x^3+2 x^4+12 x^5+x^7))}{36 x^3+12 x^5+x^7} \, dx\)
  3.75.16 \(\int \frac {e^{4+\frac {e^4-\log (4 e^{5+x})}{\log (4 e^{5+x})}}-36 \log ^2(4 e^{5+x})}{\log ^2(4 e^{5+x})} \, dx\)
  3.75.17 \(\int \frac {-4 x^2+e^{\frac {25+1250 x+15675 x^2+1250 x^3+25 x^4}{x^2}} (-50-1250 x+1250 x^3+50 x^4) \log ^2(x)}{x^3 \log ^2(x)} \, dx\)
  3.75.18 \(\int \frac {-x^2+50 x^3+e^{4+2 x} (-1+50 x)+e^{2+x} (-1+3 x-100 x^2)}{e^{4+2 x}-2 e^{2+x} x+x^2} \, dx\)
  3.75.19 \(\int \frac {-240+264 x+(48-48 x) \log (x)+(-12+12 x) \log (\frac {2}{1-2 x+x^2})}{-256+256 x+(-16+16 x) \log ^2(x)+(-32+32 x) \log (\frac {2}{1-2 x+x^2})+(-1+x) \log ^2(\frac {2}{1-2 x+x^2})+\log (x) (128-128 x+(8-8 x) \log (\frac {2}{1-2 x+x^2}))} \, dx\)
  3.75.20 \(\int (64 x \log (x)+64 x \log ^2(x)) \log (e^{16 x^2 \log ^2(x)} (25-5 \log (4))) \, dx\)
  3.75.21 \(\int \frac {4+4 x+x^2+e^{\frac {2 (-4 x-2 x^2+2 x^3+(-2 x-x^2+x^3) \log (4)+e^x (-2 x^2-x^2 \log (4)))}{2+x}} (-16-16 x+20 x^2+8 x^3+(-8-8 x+10 x^2+4 x^3) \log (4)+e^x (-16 x-12 x^2-4 x^3+(-8 x-6 x^2-2 x^3) \log (4)))}{4+4 x+x^2} \, dx\)
  3.75.22 \(\int \frac {e^{\frac {12}{(-15+20 x) \log (x \log ^2(2))}} (72-96 x-96 x \log (x \log ^2(2)))}{(45 x-120 x^2+80 x^3) \log ^2(x \log ^2(2))} \, dx\)
  3.75.23 \(\int \frac {-100 x^4+50 x^5-6 x^6+(1-2 x^2) \log (2)}{x} \, dx\)
  3.75.24 \(\int \frac {25+e^{\frac {1}{5} (-7+5 x-2 x^3)} (-25+25 x-30 x^3)}{6-12 e^{\frac {1}{5} (-7+5 x-2 x^3)}+6 e^{\frac {2}{5} (-7+5 x-2 x^3)}} \, dx\)
  3.75.25 \(\int \frac {-48-24 x^2-3 x^4+e^{x+\frac {3}{4+x^2}} (-32 x-80 x^2-74 x^3-44 x^4-28 x^5-13 x^6-4 x^7-x^8)}{16+32 x+24 x^2+16 x^3+9 x^4+2 x^5+x^6} \, dx\)
  3.75.26 \(\int \frac {e^{\frac {-75-29 x-3 x^2+(25+10 x+x^2) \log (3)+(-3+\log (3)) \log (12 x)}{-3+\log (3)}} (-29-6 x+(10+2 x) \log (3))}{-3 x+x \log (3)} \, dx\)
  3.75.27 \(\int \frac {e^4 (-6 x+2 e^3 x+6 x^2)+e^{7+x} \log (3)}{e^3} \, dx\)
  3.75.28 \(\int \frac {(16 x+4 e x+e^{3 x} (-18 x+54 x^2+e^3 (-2 x+6 x^2))) \log (\frac {-8-2 e+e^{3 x} (9+e^3)+9 x+e^3 x}{18 x+2 e^3 x})+(-16 x-4 e x+18 x^2+2 e^3 x^2+e^{3 x} (18 x+2 e^3 x)) \log ^2(\frac {-8-2 e+e^{3 x} (9+e^3)+9 x+e^3 x}{18 x+2 e^3 x})}{-8-2 e+e^{3 x} (9+e^3)+9 x+e^3 x} \, dx\)
  3.75.29 \(\int \frac {1+e^{-1+e^5} (-2+e^2 x^4)}{-e^2 x^4+2 e^{1+e^5} x^4} \, dx\)
  3.75.30 \(\int \frac {-25+20 x+5 x^2-20 x^3+(50-30 x^2) \log (x)}{-500 x^3+300 x^5-60 x^7+4 x^9} \, dx\)
  3.75.31 \(\int \frac {e^{e^{\frac {-100 e^{2 x^2}-15 e^{2 x^2} \log (x)+6 e^{2 x^2} \log ^2(x)+e^{2 x^2} \log ^3(x)}{625 x^2}}+\frac {-100 e^{2 x^2}-15 e^{2 x^2} \log (x)+6 e^{2 x^2} \log ^2(x)+e^{2 x^2} \log ^3(x)}{625 x^2}} (e^{2 x^2} (185-400 x^2)+e^{2 x^2} (42-60 x^2) \log (x)+e^{2 x^2} (-9+24 x^2) \log ^2(x)+e^{2 x^2} (-2+4 x^2) \log ^3(x))}{625 x^3} \, dx\)
  3.75.32 \(\int \frac {e^{\frac {4}{-3 x+1200 x^2-960 x^3+192 x^4}} (1562500-1250000000 x+1500000000 x^2-400000000 x^3)}{3 x^2-2400 x^3+481920 x^4-768384 x^5+460800 x^6-122880 x^7+12288 x^8} \, dx\)
  3.75.33 \(\int \frac {4 e^{-8 x} (-2+\frac {1}{4} e^{8 x} \log (5))}{\log (5)} \, dx\)
  3.75.34 \(\int e^{x+2 e^5 x} (1+2 e^5) \, dx\)
  3.75.35 \(\int \frac {980+294 x+49 x^2+4 x^3+(49+210 x+57 x^2+4 x^3) \log (5)}{245+70 x+12 x^2+x^3+(49 x+14 x^2+x^3) \log (5)} \, dx\)
  3.75.36 \(\int \frac {2 x^2-3 x^2 \log (x)+e^{x^2} (e^8 (-8 x-8 x^3)+e^{8+x} (2 x+x^2+2 x^3)) \log ^3(x)}{e^8 \log ^3(x)} \, dx\)
  3.75.37 \(\int 25 e^{6+e^8+e^{1-x}} (1-e^{1-x} x) \, dx\)
  3.75.38 \(\int \frac {80+20 x+e^{256} (8+2 x)+(-40-4 e^{256}) \log (x) \log (\log ^2(x))}{3 x^2 \log (x)} \, dx\)
  3.75.39 \(\int \frac {e^{\frac {-x \log (9)+(-5+e^{5 e^4 x} x) \log (x)}{\log (x)}} (\log (9)-\log (9) \log (x)+e^{5 e^4 x} (1+5 e^4 x) \log ^2(x))}{\log ^2(x)} \, dx\)
  3.75.40 \(\int \frac {(\frac {-5 x+x^2+e^x (x+x \log (4))}{\log (x \log (4))})^x (5-x+e^x (-1-\log (4))+(-5+2 x+e^x (1+x+(1+x) \log (4))) \log (x \log (4))+(-5+x+e^x (1+\log (4))) \log (x \log (4)) \log (\frac {-5 x+x^2+e^x (x+x \log (4))}{\log (x \log (4))}))}{(-5+x+e^x (1+\log (4))) \log (x \log (4))} \, dx\)
  3.75.41 \(\int (2 x+190 x \log (3)+4500 x \log ^2(3)+(20 x \log (3)+950 x \log ^2(3)) \log (x)+50 x \log ^2(3) \log ^2(x)) \, dx\)
  3.75.42 \(\int \frac {(\frac {-e^{2 x}-8 e^x x^4-16 x^8-2 x^9-x^{10}-x^8 \log (5)}{x^8})^x (2 x^9+2 x^{10}+e^{2 x} (-8+2 x)+e^x (-32 x^4+8 x^5)+(e^{2 x}+8 e^x x^4+16 x^8+2 x^9+x^{10}+x^8 \log (5)) \log (\frac {-e^{2 x}-8 e^x x^4-16 x^8-2 x^9-x^{10}-x^8 \log (5)}{x^8}))}{e^{2 x}+8 e^x x^4+16 x^8+2 x^9+x^{10}+x^8 \log (5)} \, dx\)
  3.75.43 \(\int (-1+32 x-24 x^2+4 x^3+e^{2 x^2} (-8+66 x-32 x^2+4 x^3)+e^{x^2} (32-32 x+70 x^2-32 x^3+4 x^4)+e^{3 e^{2 x}-3 x} (e^{2 x^2} (24-48 e^{2 x}-32 x)-16 x+24 x^2-48 e^{2 x} x^2+e^{x^2} (-16+48 x-96 e^{2 x} x-32 x^2))+e^{4 e^{2 x}-4 x} (2 x-4 x^2+8 e^{2 x} x^2+e^{2 x^2} (-4+8 e^{2 x}+4 x)+e^{x^2} (2-8 x+16 e^{2 x} x+4 x^2))+e^{2 e^{2 x}-2 x} (48 x-54 x^2+4 x^3+e^{2 x^2} (-50+e^{2 x} (96-8 x)+100 x-8 x^2)+e^{2 x} (96 x^2-8 x^3)+e^{x^2} (48-104 x+104 x^2-8 x^3+e^{2 x} (192 x-16 x^2)))+e^{e^{2 x}-x} (-64 x+56 x^2-8 x^3+e^{2 x} (-64 x^2+16 x^3)+e^{2 x^2} (40-136 x+32 x^2+e^{2 x} (-64+16 x))+e^{x^2} (-64+96 x-144 x^2+32 x^3+e^{2 x} (-128 x+32 x^2)))) \, dx\)
  3.75.44 \(\int e^{-4+e^{16} (1-x)+4 x+x^2-x^3+e^8 (-2 x+2 x^2)} (4-e^{16}+2 x-3 x^2+e^8 (-2+4 x)) \, dx\)
  3.75.45 \(\int \frac {-2 x+x^4-2 x^5+(4 x+10 x^2-20 x^3) \log (x)+(25-50 x) \log ^2(x)}{x^4+10 x^2 \log (x)+25 \log ^2(x)} \, dx\)
  3.75.46 \(\int \frac {-x^6+e^6 (32 x^3-32 x^4)+e^3 (8 x^4-12 x^5)+e^{3+x} (-4 x^3+3 x^4-x^5+e^6 (-32 x+32 x^2-16 x^3)+e^3 (-24 x^2+20 x^3-8 x^4))}{e^{15+3 x} (-16+24 x-12 x^2+2 x^3)+e^{12+2 x} (-48 x^2+72 x^3-36 x^4+6 x^5)+e^{9+x} (-48 x^4+72 x^5-36 x^6+6 x^7)+e^6 (-16 x^6+24 x^7-12 x^8+2 x^9)} \, dx\)
  3.75.47 \(\int \frac {-20+e^{2 e^{4 x}} (5+40 e^{4 x} x-40 e^{4 x} \log (\log (4)))}{4 e^2} \, dx\)
  3.75.48 \(\int \frac {2 e^{1+x} x \log (3)+e^2 x^3 \log (3)-2 e^{2+2 x} x^3 \log (3)+(-2 \log (3)+e^{1+x} (-2 x+2 x^2) \log (3)) \log (x)+2 \log (3) \log ^2(x)}{e^2 x^3} \, dx\)
  3.75.49 \(\int \frac {1+7 x+13 x^2+x^3+(x+2 x^2) \log (2 x)+(x+2 x^2) \log (e^{-1+x} x)}{x} \, dx\)
  3.75.50 \(\int \frac {1375-3150 x+550 x^2-660 x^3+55 x^4-6 x^5-6000 x \log (x)}{1875+750 x^2+75 x^4} \, dx\)
  3.75.51 \(\int e^{-\frac {5}{6}+e^x} (-30+18 e^{2 x}-6 e^{3 x}+12 x+e^x (30-30 x+6 x^2)) \, dx\)
  3.75.52 \(\int \frac {1}{3} (6+2 x-432 x^3+2 x \log (x^2)) \, dx\)
  3.75.53 \(\int \frac {12+10 x+5 x \log (4 x^2)+x \log ^2(4 x^2)+3 (i \pi +\log (-\log (\log (2))))^2}{16 x+8 x \log (4 x^2)+x \log ^2(4 x^2)} \, dx\)
  3.75.54 \(\int \frac {e^{225/x} (2 x-x^9)+e^{225/x} (-450+2 x+225 x^8+7 x^9) \log (x)}{4 x-4 x^9+x^{17}} \, dx\)
  3.75.55 \(\int \frac {1875 x+e^x (750 x-750 x^2)+e^{2 x} (75 x-150 x^2)+(-375+e^{2 x} (-15+30 x)+e^x (-150+150 x)) \log (x^2)+\log (\frac {25+10 e^x+e^{2 x}-2 x}{x}) (750+300 e^x+30 e^{2 x}-60 x+(-375-150 e^x-15 e^{2 x}+30 x) \log (x^2))}{\log ^2(\frac {25+10 e^x+e^{2 x}-2 x}{x}) (625 x^2+250 e^x x^2+25 e^{2 x} x^2-50 x^3+(-250 x-100 e^x x-10 e^{2 x} x+20 x^2) \log (x^2)+(25+10 e^x+e^{2 x}-2 x) \log ^2(x^2))} \, dx\)
  3.75.56 \(\int \frac {-4 x+4 x^2+(-2 x+2 x^2) \log (x)+(-6 x-4 x^2+2 x^3+4 x^4) \log (x) \log (\frac {1}{3} x \log ^2(x))+(-2 x+4 x^3) \log (x) \log (\frac {1}{3} x \log ^2(x)) \log (\log (\frac {1}{3} x \log ^2(x)))+((-3-2 x^2+2 x^3) \log (x) \log (\frac {1}{3} x \log ^2(x))+(-2 x+2 x^2) \log (x) \log (\frac {1}{3} x \log ^2(x)) \log (\log (\frac {1}{3} x \log ^2(x)))) \log (3+2 x^2-2 x^3+(2 x-2 x^2) \log (\log (\frac {1}{3} x \log ^2(x))))}{(-3-2 x^2+2 x^3) \log (x) \log (\frac {1}{3} x \log ^2(x))+(-2 x+2 x^2) \log (x) \log (\frac {1}{3} x \log ^2(x)) \log (\log (\frac {1}{3} x \log ^2(x)))} \, dx\)
  3.75.57 \(\int \frac {e^{64 x^3} (-4+768 x^3)}{x^2} \, dx\)
  3.75.58 \(\int (32-32 x+24 x^2+e^x (36+27 x^2+9 x^3)+(32-32 x+e^x (36-36 x-18 x^2)) \log (x^2)+(8+e^x (9+9 x)) \log ^2(x^2)) \, dx\)
  3.75.59 \(\int e^{-4+e^{-4 x^2+2 x^3}+e^{-4+e^{-4 x^2+2 x^3}+x^2-2 x \log (5)+\log ^2(5)}+x^2-2 x \log (5)+\log ^2(5)} (2 x+e^{-4 x^2+2 x^3} (-8 x+6 x^2)-2 \log (5)) \, dx\)
  3.75.60 \(\int \frac {56-8 x+28 x^2-4 x^3+(-8-4 x^2) \log (\frac {2 x}{2+x^2})+\log (x) (48-16 x+32 x^2-8 x^3+(-8-4 x^2) \log (\frac {2 x}{2+x^2}))}{(2+x^2) \log (25)} \, dx\)
  3.75.61 \(\int \frac {1-81 x^2+162 x^3+(-1-x^2) \log (x)}{x^2+160 x^3+6238 x^4-12960 x^5+6561 x^6+(-2 x-160 x^2+164 x^3+160 x^4-162 x^5) \log (x)+(1-2 x^2+x^4) \log ^2(x)} \, dx\)
  3.75.62 \(\int e^{8+2 e^{4+2 x^2}+2 x+12 x^3+2 x^6+2 e^{2+x^2} (-6-2 x^3)} (2 x+2 x^2+8 e^{4+2 x^2} x^3+36 x^4+12 x^7+e^{2+x^2} (-24 x^3-12 x^4-8 x^6)) \, dx\)
  3.75.63 \(\int \frac {2+e^x+x-x^2+(2+2 x-3 x^2+e^x (1+x)) \log (x)}{(2 x+e^x x+x^2-x^3) \log (x)} \, dx\)
  3.75.64 \(\int \frac {e (192 x+96 x^2+12 x^3)+(e^5 (-96-24 x)+e (192 x+48 x^2)) \log (e^4-2 x)}{(e^4 x^3-2 x^4) \log ^3(e^4-2 x)} \, dx\)
  3.75.65 \(\int \frac {50 x+5 x^2+x^4+e^{-16 x} (25+10 x+x^2)+e^{-8 x} (-1000-400 x-30 x^2+2 x^3)}{x^4+e^{-16 x} (25+10 x+x^2)+e^{-8 x} (10 x^2+2 x^3)} \, dx\)
  3.75.66 \(\int \frac {-144+72 x^2}{(48 x-71 x^2+24 x^3) \log ^2(\frac {2 x}{144-213 x+72 x^2})} \, dx\)
  3.75.67 \(\int \frac {1}{9} e^{e^{\frac {1}{9} (4 e^{16} x-8 e^8 x^2+4 x^3)} (3+x)+\frac {1}{9} (4 e^{16} x-8 e^8 x^2+4 x^3)} (9+36 x^2+12 x^3+e^{16} (12+4 x)+e^8 (-48 x-16 x^2)) \, dx\)
  3.75.68 \(\int (-125+125 x+125 \log (\frac {e^{10+x}}{x})) \, dx\)
  3.75.69 \(\int \frac {5 x+e^{5+e^x (-3+4 x) \log (x)} (-x+e^x (3 x-4 x^2+e (-3+4 x))+e^x (-x^2-4 x^3+e (x+4 x^2)) \log (x))}{x} \, dx\)
  3.75.70 \(\int \frac {e^{\frac {-75-e^{e^3}+4 x+2 \log (4)}{x}} (75+e^{e^3}+x-2 \log (4))}{x} \, dx\)
  3.75.71 \(\int \frac {-12 x^2+2 x^3+4 x^2 \log (x)+(-40 x^2+4 x^3+12 x^2 \log (x)) \log (5 x)}{36-12 x+x^2+(-24+4 x) \log (x)+4 \log ^2(x)} \, dx\)
  3.75.72 \(\int \frac {32-8 (i \pi +\log (-e^{3-e^3} (1-5 e^{-3+e^3})))}{x^3} \, dx\)
  3.75.73 \(\int \frac {e^{\frac {2 (2+4 x+4 x^2)}{x+x^2}} (-2-4 x)+15 x^2+49 x^3+62 x^4+39 x^5+13 x^6+2 x^7+e^{\frac {2+4 x+4 x^2}{x+x^2}} (-10-26 x-11 x^2+4 x^3+7 x^4+2 x^5)}{8 x^2+16 x^3+8 x^4} \, dx\)
  3.75.74 \(\int \frac {-25 x^2-10 x^3-x^4+(-100 x-10 x^2+22 x^3+4 x^4) \log (-2+x)}{(-150+75 x) \log ^2(-2+x)} \, dx\)
  3.75.75 \(\int \frac {e^{-\frac {e^x}{\log (2)}} (e^x (-33 x^2-8 x^3+x^4)+(88 x+17 x^2-x^3) \log (2)+(e^x (-33 x-8 x^2+x^3)+(33+11 x) \log (2)) \log (9+6 x+x^2))}{(1452+220 x-76 x^2+4 x^3) \log (2)} \, dx\)
  3.75.76 \(\int \frac {1}{4} e^{9+e^x} (1+e^x x) \, dx\)
  3.75.77 \(\int \frac {1+e^{e^2+x} (-2 e-2 x)-x}{-x+e^{e^2+x} (e^2+2 e x+x^2)} \, dx\)
  3.75.78 \(\int -2 e^{e^{e^8}-x} \, dx\)
  3.75.79 \(\int \frac {-25 e^2 x^2+e^4 (-200 x+50 x^2)}{4 x^2-4 x^3+x^4+e^4 (64-64 x+16 x^2)+e^2 (32 x-32 x^2+8 x^3)} \, dx\)
  3.75.80 \(\int \frac {1}{2} e^{-2+\frac {e^{x^2}}{2}+x^2} (x+4 e^2 x) \, dx\)
  3.75.81 \(\int \frac {e^{-x} (4+(-4+4 e^x x^6) \log (x)+(-20-4 x) \log (x) \log (\frac {\log (x)}{x}))}{x^6 \log (x)} \, dx\)
  3.75.82 \(\int \frac {e^{e^{1+e^{1-x}+x-\log ^4(2)}} (-1+e^{1+e^{1-x}+x-\log ^4(2)} (x-e^{1-x} x))}{x^2} \, dx\)
  3.75.83 \(\int \frac {380 x^4+100 e^{\frac {2 e^{2 x}}{x^2}} x^4-400 x^5+100 x^6+e^x (-40 x^2+80 x^3-20 x^4)+e^{\frac {e^{2 x}}{x^2}} (e^{3 x} (40-40 x)+400 x^4-200 x^5+e^{2 x} (-40 x+40 x^2)+e^x (-20 x^2+20 x^3))}{e^{2 x} x^2+x^4-20 x^5+110 x^6+25 e^{\frac {2 e^{2 x}}{x^2}} x^6-100 x^7+25 x^8+e^x (-2 x^3+20 x^4-10 x^5)+e^{\frac {e^{2 x}}{x^2}} (10 e^x x^4-10 x^5+100 x^6-50 x^7)} \, dx\)
  3.75.84 \(\int \frac {-8+9 x-8 e^x x+8 x^2+(-18-32 x+e^x (16+16 x)) \log (\frac {1}{2} (8-9 x+8 e^x x-8 x^2))}{8-9 x+8 e^x x-8 x^2} \, dx\)
  3.75.85 \(\int \frac {-73-24 x+12 x^2}{15-30 x+15 x^2} \, dx\)
  3.75.86 \(\int \frac {2-4 x-2 x^2+e^{2+x} (1+2 x+x^2)+e^x (30+60 x+30 x^2)}{1+2 x+x^2} \, dx\)
  3.75.87 \(\int \frac {-1-2 e^{e^x+x} x \log ^2(x)}{x \log ^2(x)} \, dx\)
  3.75.88 \(\int \frac {e^{-x-8 x^2} (10 x-4 x^2-81 x^3-16 x^4-5 e^{x+8 x^2} \log ^4(9))}{(25+10 x+x^2) \log ^4(9)} \, dx\)
  3.75.89 \(\int \frac {5 x+e^{e^{\frac {-3 x+3 \log (x)}{x}}+\frac {-3 x+3 \log (x)}{x}} (6-6 \log (x))}{2 x^2} \, dx\)
  3.75.90 \(\int \frac {3 x^2+e^5 (-x^2-x^3)+(-6 x+2 e^5 x^2) \log (\frac {e^x x}{6})+(-6 x+2 e^5 x^2) \log (\frac {3-e^5 x}{x})}{-3 x^4+e^5 x^5+(-3+e^5 x) \log ^2(\frac {e^x x}{6})+(6 x^2-2 e^5 x^3) \log (\frac {3-e^5 x}{x})+(-3+e^5 x) \log ^2(\frac {3-e^5 x}{x})+\log (\frac {e^x x}{6}) (6 x^2-2 e^5 x^3+(-6+2 e^5 x) \log (\frac {3-e^5 x}{x}))} \, dx\)
  3.75.91 \(\int \frac {5 e^{50+2 x}+10 e^{25+x} x+5 x^2+e^{3 x} (-9+18 e^{25+x}+27 x)}{5 e^{50+2 x}+10 e^{25+x} x+5 x^2} \, dx\)
  3.75.92 \(\int \frac {e^{e^x} (96+32 x+e^x (96 x+16 x^2))}{i \pi +\log (25)} \, dx\)
  3.75.93 \(\int -\frac {1}{x} \, dx\)
  3.75.94 \(\int \frac {1-20 x+12 x^3+(19-12 x^2) \log (x)+(x-\log (x)) \log (-\frac {e^{4+e^4}}{-x+\log (x)})}{-x+\log (x)} \, dx\)
  3.75.95 \(\int \frac {80 e^{-2 e^5+2 x}+40 e^{-e^5+x} \log (5)+5 \log ^2(5)+e^{\frac {5 e^{-e^5+x}+2 e^{-e^5+x} \log (\log (4))}{4 e^{-e^5+x}+\log (5)}} (5 e^{-e^5+x} \log (5)+2 e^{-e^5+x} \log (5) \log (\log (4)))}{16 e^{-2 e^5+2 x}+8 e^{-e^5+x} \log (5)+\log ^2(5)} \, dx\)
  3.75.96 \(\int \frac {(8-2 e^x-2 x) \log (-4+e^x+x)+(12 x+21 x^2-6 x^3+e^x (-3 x-6 x^2)) \log (x) \log ^2(-4+e^x+x)+(x+e^x x) \log (x) \log (\log ^2(x))}{(-12 x+3 e^x x+3 x^2) \log (x) \log ^2(-4+e^x+x)} \, dx\)
  3.75.97 \(\int \frac {-20-4 x+(5+x) \log (\frac {5+x}{x})+\log (x) (5-20 x-4 x^2+e^x (20 x+4 x^2)+(5 x+x^2+e^x (-5 x-x^2)) \log (\frac {5+x}{x}))}{\log (x) (-20 x-4 x^2+(5 x+x^2) \log (\frac {5+x}{x}))} \, dx\)
  3.75.98 \(\int \frac {2205-13230 x+31080 x^2-36120 x^3+20900 x^4-4840 x^5+e^x (-105+430 x-645 x^2+430 x^3-110 x^4)}{441 x^2-2646 x^3+6657 x^4-8988 x^5+6868 x^6-2816 x^7+484 x^8+e^{2 x} (1-4 x+6 x^2-4 x^3+x^4)+e^x (-42 x+210 x^2-422 x^3+426 x^4-216 x^5+44 x^6)} \, dx\)
  3.75.99 \(\int e^{1+4 x+6 x^2+4 x^3+x^4+(-4-12 x-12 x^2-4 x^3) \log ((8+i \pi )^2)+(6+12 x+6 x^2) \log ^2((8+i \pi )^2)+(-4-4 x) \log ^3((8+i \pi )^2)+\log ^4((8+i \pi )^2)} (20+60 x+60 x^2+20 x^3+(-60-120 x-60 x^2) \log ((8+i \pi )^2)+(60+60 x) \log ^2((8+i \pi )^2)-20 \log ^3((8+i \pi )^2)) \, dx\)
  3.75.100 \(\int \frac {e^{\frac {1}{4} (-9+24 x-16 x^2-(-12+16 x) \log (4 x-x^2)-4 \log ^2(4 x-x^2))} (-36-6 x+90 x^2-24 x^3+(24+36 x-12 x^2) \log (4 x-x^2))}{-4 x+x^2} \, dx\)