3.16 Integrals 1501 to 1600

  3.16.1 \(\int \frac {-4+e^x (631-x-50 \log (4)+\log ^2(4))}{-2520+4 x+200 \log (4)-4 \log ^2(4)+e^x (630-x-50 \log (4)+\log ^2(4))} \, dx\)
  3.16.2 \(\int \frac {2 x+x^2-5 \log (3)+e^x (x^2-x \log (3))+\log (3) \log (e^{e^x} x)}{x^2} \, dx\)
  3.16.3 \(\int \frac {-30 e^{2/5}+3 x+12 x^3+3 e^x x^3}{x^3} \, dx\)
  3.16.4 \(\int \frac {16-64 x-8 x^2+32 x^3+x^4-4 x^5+e^{\frac {-32+x+8 x^2+x^3}{-4+x^2}} (16-4 x-8 x^2-13 x^3+x^4+x^5)}{32-16 x^2+2 x^4} \, dx\)
  3.16.5 \(\int \frac {e^{\frac {2}{100 x+10 e^{1+e^{e^x}} x}} (-10-1500 x-15 e^{2+2 e^{e^x}} x+e^{1+e^{e^x}} (-1-300 x-e^{e^x+x} x))}{500 x^5+100 e^{1+e^{e^x}} x^5+5 e^{2+2 e^{e^x}} x^5} \, dx\)
  3.16.6 \(\int \frac {-45+39 x-56 x^2+40 x^3-11 x^4+x^5+(-45+30 x-170 x^2+119 x^3-58 x^4+13 x^5-x^6) \log (x)+(9 x^2-6 x^3+13 x^4-11 x^5-x^6-4 x^7-5 x^8+x^9) \log ^2(x)}{(45 x-39 x^2+56 x^3-40 x^4+11 x^5-x^6) \log (x)+(9 x^3-6 x^4+19 x^5-12 x^6+11 x^7-6 x^8+x^9) \log ^2(x)} \, dx\)
  3.16.7 \(\int \frac {60+49 x-4 x^2-3 x^3+(-60-17 x+4 x^2+x^3+e^x (-45 x-9 x^2+5 x^3+x^4)) \log (15 x+8 x^2+x^3) \log (\log (15 x+8 x^2+x^3))+(-15 x-8 x^2-x^3) \log (15 x+8 x^2+x^3) \log (\log (15 x+8 x^2+x^3)) \log (\frac {\log (\log (15 x+8 x^2+x^3))}{x})}{(15 x+8 x^2+x^3) \log (15 x+8 x^2+x^3) \log (\log (15 x+8 x^2+x^3))} \, dx\)
  3.16.8 \(\int \frac {-25 x+e^{\frac {1}{5} (-26-5 x^2+5 \log (x^2))} (-250+250 x^2)}{25 e^{\frac {2}{5} (-26-5 x^2+5 \log (x^2))} x+10 e^{\frac {1}{5} (-26-5 x^2+5 \log (x^2))} x^2+x^3} \, dx\)
  3.16.9 \(\int \frac {1+e^5 (2-16 x)-6 x-16 x^2-32 x \log (1+2 e^5+2 x)+(-8-16 e^5-16 x) \log ^2(1+2 e^5+2 x)-32 \log ^3(1+2 e^5+2 x)}{1+2 e^5+2 x} \, dx\)
  3.16.10 \(\int \frac {e^{-8-4 x} (-64-32 x-4 x^2+(-224 x-120 x^2-16 x^3) \log (x)+(-96-48 x-6 x^2+(-224 x-120 x^2-16 x^3) \log (x)) \log (\log (x))+(-32-16 x-2 x^2+(-56 x-30 x^2-4 x^3) \log (x)) \log ^2(\log (x)))}{x \log ^3(x)} \, dx\)
  3.16.11 \(\int \frac {(e^{x^2} (-2+4 x)+(-2+4 x) \log (4)) \log (x-x^2)+(e^{x^2} (-1+x-2 x^2+2 x^3)+(-1+x) \log (4)) \log ^2(x-x^2)}{-10+10 x+(-1+x) \log (3)} \, dx\)
  3.16.12 \(\int \frac {x^4-2 x^3 \log (2)+x^2 \log ^2(2)+e^{\frac {10}{-x^2+x \log (2)}} (-20 x+10 \log (2))}{x^4-2 x^3 \log (2)+x^2 \log ^2(2)} \, dx\)
  3.16.13 \(\int \frac {e^{-5-x} (14876160-14876160 x-5963520 x^2-838656 x^3-75776 x^4-3584 x^5+256 x^6)}{3376772100+2382858660 x+744859249 x^2+142613992 x^3+19810676 x^4+1973216 x^5+118070 x^6+3128 x^7-160 x^8-36 x^9+x^{10}} \, dx\)
  3.16.14 \(\int \frac {-\log (x)+e^{10+2 x-x^2 \log (\log ^2(x))} (-2 x+2 \log (x)-2 x \log (x) \log (\log ^2(x)))}{\log (x)} \, dx\)
  3.16.15 \(\int (8+(-27-12 x+15 x^2+4 x^3) \log (\log (3))) \, dx\)
  3.16.16 \(\int \frac {56+32 x-2 x^2+(20+12 x) \log (2 x+x^2)+(2+x) \log ^2(2 x+x^2)}{10+45 x+18 x^2-x^3+(16 x+8 x^2) \log (2 x+x^2)+(2 x+x^2) \log ^2(2 x+x^2)} \, dx\)
  3.16.17 \(\int \frac {e^4 (-e^3-2 x^2)+e^{60 x^2} (3 x+120 e^3 x-120 x^3)+(-e^4 x^2+e^{60 x^2} (2 x-120 x^3)) \log (x)}{e^{120 x^2}-2 e^{4+60 x^2} x+e^8 x^2} \, dx\)
  3.16.18 \(\int \frac {(6 x-6 x^2) \log (1-x)+(9-9 x) \log (2) \log ^2(1-x)+(3 x^2+(3 x-3 x^2) \log (1-x)+e^5 (-6+6 x) \log (2) \log ^2(1-x)) \log (x^2)+(-e^5 x^2+e^5 (-x+x^2) \log (1-x)+e^{10} (1-x) \log (2) \log ^2(1-x)) \log ^2(x^2)}{(-9 x+9 x^2) \log (2) \log ^2(1-x)+e^5 (6 x-6 x^2) \log (2) \log ^2(1-x) \log (x^2)+e^{10} (-x+x^2) \log (2) \log ^2(1-x) \log ^2(x^2)} \, dx\)
  3.16.19 \(\int \frac {-7 x+e^x (-x+x^2)-2 \log (x)+2 \log ^2(x)}{-7 x^2-e^x x^2+x \log ^2(x)} \, dx\)
  3.16.20 \(\int \frac {e^{\frac {-x^2+8 \log (4)}{x}} (5 x^2 \log (2)+40 \log (2) \log (4))}{x^2+2 e^{\frac {-x^2+8 \log (4)}{x}} x^2+e^{\frac {2 (-x^2+8 \log (4))}{x}} x^2} \, dx\)
  3.16.21 \(\int \frac {84 x+e^{x/21} (42+2 x)+e^x (7 e^{2 x/21} x^2+14 e^{x/21} x^3+7 x^4)}{7 e^{2 x/21} x^2+14 e^{x/21} x^3+7 x^4} \, dx\)
  3.16.22 \(\int \frac {e^{2 x} (120-480 x+400 x^2-40 x^4+e^{2/3} (-8+24 x-24 x^2+8 x^3))}{64000-72000 x+3000 x^2+14625 x^3-375 x^4-1125 x^5-125 x^6+e^2 (-1+3 x-3 x^2+x^3)+e^{4/3} (120-285 x+195 x^2-15 x^3-15 x^4)+e^{2/3} (-4800+8400 x-3075 x^2-975 x^3+375 x^4+75 x^5)} \, dx\)
  3.16.23 \(\int \frac {-16 x^3+54 x^4-66 x^5+26 x^6+2 x^7}{-64+336 x-540 x^2+175 x^3+135 x^4+21 x^5+x^6} \, dx\)
  3.16.24 \(\int \frac {16 x-8 x^2+(16 x-8 x^2+4 x^3-3 x^4) \log (7)}{(4-8 x+4 x^2) \log (7)} \, dx\)
  3.16.25 \(\int \frac {2 x-6 x^2+40 x^3-108 x^4+288 x^5-648 x^6+864 x^7-1296 x^8+864 x^9+e^{2 x} (72-864 x+432 x^2)+e^x (-12+12 x+12 x^2+576 x^4-432 x^5+432 x^6)}{1+18 x^2+108 x^4+216 x^6} \, dx\)
  3.16.26 \(\int \frac {45 e^{-6+2 x} x+e^{-6+2 x} (90 x-90 x^2) \log (x) \log (\log (x))+((-15 x+9 x^2) \log (x)+30 x \log ^2(x)) \log ^2(\log (x))}{225 e^{-12+4 x} \log (x)+(90 e^{-6+2 x} x \log (x)+150 e^{-6+2 x} \log ^2(x)) \log (\log (x))+(9 x^2 \log (x)+30 x \log ^2(x)+25 \log ^3(x)) \log ^2(\log (x))} \, dx\)
  3.16.27 \(\int \frac {1}{25} (-180+81 x+162 x \log (x)) \, dx\)
  3.16.28 \(\int \frac {-65536 x^2-163840 x^3-204800 x^4-163840 x^5-92160 x^6-37888 x^7-11520 x^8-2560 x^9-400 x^{10}-40 x^{11}-2 x^{12}+(32768+146440 x+265716 x^2+287097 x^3+210432 x^4+111344 x^5+43704 x^6+12806 x^7+2760 x^8+420 x^9+41 x^{10}+2 x^{11}) \log (5)}{(32768 x+81920 x^2+102400 x^3+81920 x^4+46080 x^5+18944 x^6+5760 x^7+1280 x^8+200 x^9+20 x^{10}+x^{11}) \log (5)} \, dx\)
  3.16.29 \(\int \frac {e^{3+3^{\frac {1}{25+x}}-e^x-2 x} (-1250-100 x-2 x^2+e^x (-625-50 x-x^2)-3^{\frac {1}{25+x}} \log (3))}{625+50 x+x^2} \, dx\)
  3.16.30 \(\int \frac {-\log (\frac {9}{x^2})+\log ^{e^2 x}(\frac {9}{x^2}) (-2 e^2 x+e^2 x \log (\frac {9}{x^2}) \log (\log (\frac {9}{x^2})))}{x \log ^{1+e^2 x}(\frac {9}{x^2})-x \log (\frac {9}{x^2}) \log (x)} \, dx\)
  3.16.31 \(\int e^x (1+e^5) \, dx\)
  3.16.32 \(\int \frac {1+4 e^9}{13 e^9 x} \, dx\)
  3.16.33 \(\int \frac {-100-50 x+\frac {(-4-2 x) x^2}{e^{10}}+\frac {x (40+20 x)}{e^5}+e^{\frac {1}{-5+\frac {x}{e^5}}} (25-\frac {11 x}{e^5}+\frac {x^2}{e^{10}})}{-100 x-25 x^2+\frac {x^2 (-4 x-x^2)}{e^{10}}+\frac {x (40 x+10 x^2)}{e^5}+e^{\frac {1}{-5+\frac {x}{e^5}}} (25 x-\frac {10 x^2}{e^5}+\frac {x^3}{e^{10}})} \, dx\)
  3.16.34 \(\int \frac {1}{4} e^{-4+2 x} (128+40320 e^{2-x}) \, dx\)
  3.16.35 \(\int \frac {1}{4} (121-44 e^3+4 e^6+e^{-6+2 x} (1+2 x)+e^{-3+x} (22+e^3 (-4-4 x)+22 x)) \, dx\)
  3.16.36 \(\int \frac {8+e^{\frac {3+x}{2}} (-4-36 x)+e^x (3 e^{\frac {3+x}{2}} x+6 x^2)+(-8-72 x+6 e^x x) \log (\frac {4+36 x-3 e^x x}{x})}{-8-72 x+6 e^x x} \, dx\)
  3.16.37 \(\int \frac {-x+e^{e^{e^{\frac {1-x^2}{x}}}} (x+e^{e^{\frac {1-x^2}{x}}+\frac {1-x^2}{x}} (-1-x^2))+x \log (2)}{x} \, dx\)
  3.16.38 \(\int \frac {e^{-22-e^4+18 x-2 x^2} (-2+18 x-4 x^2) \log ^2(5)}{x^3} \, dx\)
  3.16.39 \(\int \frac {-4 x^2+10 x^4+2 e^{\frac {2}{x^2}} x^4+2 x^5+\frac {x^4 (-8+8 e^{\frac {2}{x^2}}-2 x^3)}{(-2+5 x^2+e^{\frac {2}{x^2}} x^2+x^3)^2}+\frac {x^2 (-12 x+10 x^3+e^{\frac {2}{x^2}} (8 x+2 x^3))}{-2+5 x^2+e^{\frac {2}{x^2}} x^2+x^3}}{-2 x+5 x^3+e^{\frac {2}{x^2}} x^3+x^4} \, dx\)
  3.16.40 \(\int e^{\frac {e^6+e^3 (6+16 x^4)+16 \log ^2(3)}{64 e^3}} x^3 \, dx\)
  3.16.41 \(\int \frac {2 \log (\frac {625}{331776 e^2})}{x-2 x \log (x^2)+x \log ^2(x^2)} \, dx\)
  3.16.42 \(\int \frac {e^{-x} (4 x^2-8 x^3+2 x^4+e^2 (3+3 x+3 x^4-x^5))}{x^2} \, dx\)
  3.16.43 \(\int \frac {-2-2 x+2 x \log (3 x)+(1-3 x+64 x^2) \log ^2(3 x)}{x \log ^2(3 x)} \, dx\)
  3.16.44 \(\int \frac {-3+e^x (1-x) \log (8+4 \log (4))}{x^2} \, dx\)
  3.16.45 \(\int \frac {-20000 e^{2 e^x} x+1600 x^2+288 x^3+(100000 x+5500 x^2) \log (3)-500000 x \log ^2(3)+e^{e^x} (20000 x+1100 x^2+e^x (-10000 x^2-2500 x^3)-200000 x \log (3))}{625 e^{2 e^x}+16 x^2+1000 x \log (3)+15625 \log ^2(3)+e^{e^x} (200 x+6250 \log (3))} \, dx\)
  3.16.46 \(\int (e^x+\log (\frac {1+4 e^{166}}{e^{166}}) (-1+\log (\frac {4}{x}))) \, dx\)
  3.16.47 \(\int \frac {64 x^6+480 x^7+1440 x^8+2160 x^9+1620 x^{10}+486 x^{11}+e^{16} (8+24 x)}{32 x^5+240 x^6+720 x^7+1080 x^8+810 x^9+243 x^{10}} \, dx\)
  3.16.48 \(\int \frac {-3+5 e^x-5 x+(-5+5 x) \log (x \log (2))}{-3-5 x-5 e^x x+5 x \log (x \log (2))} \, dx\)
  3.16.49 \(\int (78+3 e^{x^3} x^2-108 \log (3)+54 \log ^2(3)-12 \log ^3(3)+\log ^4(3)) \, dx\)
  3.16.50 \(\int (-5+e^{-4+x}+4 x^2+\log (\frac {e^{2 x^2}}{16})) \, dx\)
  3.16.51 \(\int (-3-6 x-3 \log (\frac {x}{3})) \, dx\)
  3.16.52 \(\int \frac {e^x (-4 x+x^2+4 x \log (\frac {3+3 x}{x})) (-8-6 x-x^2+x^3+(4+8 x+4 x^2) \log (\frac {3+3 x}{x}))}{-4 x-3 x^2+x^3+(4 x+4 x^2) \log (\frac {3+3 x}{x})} \, dx\)
  3.16.53 \(\int \frac {-16+x^2+e^x (64 x+4 x^3) \log (3)}{16 x+x^3} \, dx\)
  3.16.54 \(\int \frac {-1-x-x \log (\frac {2}{x})}{(3 x+3 x^2) \log (\frac {2}{x}) \log ^2(\frac {2+2 x}{\log (\frac {2}{x})})} \, dx\)
  3.16.55 \(\int \frac {24 e^{x/2}-x-12 e^x x+6 e^{x/2} x \log (16 x^2)}{x} \, dx\)
  3.16.56 \(\int \frac {-x^2 \log (3)+(2 x+2 x^2) \log ^2(3)+(81 x^2+(-162 x-324 x^2) \log (3)+(81+324 x+324 x^2) \log ^2(3)) \log (5)}{(81 x^2+(-162 x-324 x^2) \log (3)+(81+324 x+324 x^2) \log ^2(3)) \log (5)} \, dx\)
  3.16.57 \(\int \frac {32 e^8}{x^3} \, dx\)
  3.16.58 \(\int \frac {9-x+3 x^3-132 x^4+15 x^5+(-1+15 x^4) \log (2 x)+(-108 x^3+12 x^4+12 x^3 \log (2 x)) \log (-9+x+\log (2 x))}{-9+x+\log (2 x)} \, dx\)
  3.16.59 \(\int \frac {4 x^3+2 e^6 x^3+e^{\frac {625+250 x-25 x^2-10 x^3+x^4}{x^2}} (10000+12000 x+4500 x^2+580 x^3+64 x^4+4 x^5-4 x^6+e^{12} (2500+500 x+20 x^3-4 x^4)+e^6 (10000+7000 x+1000 x^2+80 x^3+24 x^4-8 x^5))}{-2 x^4-e^6 x^4-x^5+e^{\frac {625+250 x-25 x^2-10 x^3+x^4}{x^2}} (4 x^3+e^{12} x^3+4 x^4+x^5+e^6 (4 x^3+2 x^4))} \, dx\)
  3.16.60 \(\int (6 x-2 e^6 x+(3-e^6) \log (5)+e^{-4+10 e^{4 x}} (-2 x-\log (5)+e^{4 x} (-40 x^2-40 x \log (5)))+e^{-2+5 e^{4 x}} (-4 e^3 x-2 e^3 \log (5)+e^{4 x} (-40 e^3 x^2-40 e^3 x \log (5)))) \, dx\)
  3.16.61 \(\int \frac {1}{4} (4+e^x (3+5 x+x^2)+e^{2 x} (18 x+36 x^2+16 x^3+2 x^4)) \, dx\)
  3.16.62 \(\int e^{-e^x+2 e^{e^{-e^x} (e^{e^x} x^2-e^5 x^3)} x^2+e^{-e^x} (e^{e^x} x^2-e^5 x^3)} (-6 e^5 x^4+2 e^{5+x} x^5+e^{e^x} (4 x+4 x^3)) \, dx\)
  3.16.63 \(\int \frac {-90+e^x (-40-20 x) x}{243 x^2+108 e^x x^3+12 e^{2 x} x^4} \, dx\)
  3.16.64 \(\int \frac {1}{4} e^{\frac {1}{4} (16+7 x-x^3+x^4)} (7-3 x^2+4 x^3) \, dx\)
  3.16.65 \(\int \frac {-25+e^{e^x+x} (-4+x) \log ^2(20-5 x)+e^x (-8+2 x) \log ^2(20-5 x)}{(-4+x) \log ^2(20-5 x)} \, dx\)
  3.16.66 \(\int \frac {6 x-2 e^x x+(e (1-x)+e^x (1-x)-3 x+3 x^2) \log (e+e^x-3 x)}{(e^{2 x}+e^x (e-3 x)) \log ^3(e+e^x-3 x)} \, dx\)
  3.16.67 \(\int \frac {780-24 x-36 x^2+(442-24 x-18 x^2) \log (x)+(900+360 x+36 x^2+(120+360 x) \log (x)) \log (x \log (x))+(-450+18 x^2) \log (x) \log ^2(x \log (x))}{9 x^2 \log (x)} \, dx\)
  3.16.68 \(\int \frac {-4-10 x-4 e^3 x+e^{2 e+2 x^2} (-1-3 x-e^3 x)+e^{e+x^2} (-4-11 x-4 e^3 x-10 x^2-2 x^3)}{12 x+4 e^3 x+e^{2 e+2 x^2} (3 x+e^3 x)+e^{e+x^2} (12 x+4 e^3 x)} \, dx\)
  3.16.69 \(\int \frac {e^{\frac {e^{9+2 x} (10+2 x^2)+e^{9+x} (100 x+20 x^3)+e^9 (250 x^2+50 x^4)}{x^2}} (100 e^9 x^4+e^{9+2 x} (-20+20 x+4 x^3)+e^{9+x} (-100 x+100 x^2+20 x^3+20 x^4))}{x^3} \, dx\)
  3.16.70 \(\int \frac {(-10-2 e^{\frac {e^x}{2}}) \log (5+e^{\frac {e^x}{2}})+\log ^{x^2}(5+e^{\frac {e^x}{2}}) (-\frac {1}{2} e^{\frac {e^x}{2}+x} x^2+(-10 x-2 e^{\frac {e^x}{2}} x) \log (5+e^{\frac {e^x}{2}}) \log (\log (5+e^{\frac {e^x}{2}})))}{(5+e^{\frac {e^x}{2}}) \log (5+e^{\frac {e^x}{2}})} \, dx\)
  3.16.71 \(\int \frac {e^{\frac {-x^5+e^x (-2 x^3+x^4)}{-4-20 x^4-5 x^5+e^x (-40 x^2+10 x^3+5 x^4)}} (20 x^4+20 x^8+e^{2 x} (80 x^4-80 x^5+20 x^6)+e^x (24 x^2-8 x^3-4 x^4+80 x^6-40 x^7))}{16+160 x^4+40 x^5+400 x^8+200 x^9+25 x^{10}+e^{2 x} (1600 x^4-800 x^5-300 x^6+100 x^7+25 x^8)+e^x (320 x^2-80 x^3-40 x^4+1600 x^6-300 x^8-50 x^9)} \, dx\)
  3.16.72 \(\int \frac {-160-832 x-1602 x^2+801 x^3+(32+136 x) \log (x^2)}{64 x^3} \, dx\)
  3.16.73 \(\int \frac {12 e^2+6 e x}{(3 e^2 x+3 e x^2-x^3) \log ^3(\frac {3 e^2+3 e x-x^2}{3 x^2})} \, dx\)
  3.16.74 \(\int e^{77-e^{16/x}+e^{2 x}-108 x+54 x^2-12 x^3+x^4+e^x (19-12 x+2 x^2)} (16 e^{16/x}+2 x-108 x^2+2 e^{2 x} x^2+108 x^3-36 x^4+4 x^5+e^x (7 x^2-8 x^3+2 x^4)) \, dx\)
  3.16.75 \(\int (576 x^7-1296 x^{15}+\log (\log (3))) \, dx\)
  3.16.76 \(\int \frac {e^{-x+\frac {2-x-x^2+x^3-\log (x)}{x^2}} (-20+4 x+8 x^2+8 \log (x))}{x} \, dx\)
  3.16.77 \(\int \frac {-1-x}{(x^2+x \log (e^x x^2)) \log ^2(2 x+2 \log (e^x x^2))} \, dx\)
  3.16.78 \(\int \frac {10000 e^{8+3 x}+125 e^8 x^3+e^{8+2 x} (8000 x-1000 x^2)+e^{8+x} (1875 x^2-250 x^3)}{500 e^{3 x}+300 e^{2 x} x+60 e^x x^2+4 x^3} \, dx\)
  3.16.79 \(\int \frac {4 x^2+(2+2 x^2) \log (\frac {1}{1+x^2})}{(2+2 x^2+(1+x^2) \log (6)) \log ^2(\frac {1}{1+x^2})} \, dx\)
  3.16.80 \(\int \frac {e^{\frac {4+3 x^2-x^3}{12 x^2+2 e^{2 x} x^2}} (-48-6 x^3+e^{2 x} (-8-8 x-7 x^3+2 x^4))}{72 x^3+24 e^{2 x} x^3+2 e^{4 x} x^3} \, dx\)
  3.16.81 \(\int \frac {-8 x^3-17 x^4+65 x^6+272 x^7+352 x^8+256 x^9+256 x^{10}+(2-x^2-32 x^3-83 x^4-32 x^5-128 x^6-256 x^7-256 x^8) \log (x)+(3 x^2+16 x^3+32 x^4) \log ^2(x)-\log ^3(x)}{x^2-2 x^4-16 x^5-31 x^6+16 x^7+96 x^8+256 x^9+256 x^{10}+(2 x^2-2 x^4-16 x^5-32 x^6) \log (x)+x^2 \log ^2(x)} \, dx\)
  3.16.82 \(\int \frac {x^3+2 x^4-16 x^6+36 x^8-32 x^{10}+10 x^{12}+e^{2 x} (-2+2 x-2 x^3)+e^x (-2 x^3+8 x^4+4 x^5-8 x^6-2 x^7)}{x^3} \, dx\)
  3.16.83 \(\int \frac {1}{-1-e+\log (\log (5))} \, dx\)
  3.16.84 \(\int \frac {e^{10-6 e^{4/x}} (96 e^{4/x}+e^{-4+6 e^{4/x}-2 x+2 x^2+4 x \log (x)+2 \log ^2(x)} (2 x^2+4 x^3+(4 x+4 x^2) \log (x))+e^{-2+3 e^{4/x}-x+x^2+2 x \log (x)+\log ^2(x)} (48 e^{4/x}+4 x^2+8 x^3+(8 x+8 x^2) \log (x)))}{x^2} \, dx\)
  3.16.85 \(\int \frac {-48+17 x^2+e^x (48+96 x+103 x^2+34 x^3)}{-48 x-60 x^2-17 x^3+e^x (48 x+60 x^2+17 x^3)} \, dx\)
  3.16.86 \(\int \frac {2}{x} \, dx\)
  3.16.87 \(\int \frac {x-21 x^2+20 x^3+e^5 (-20 x+20 x^2)+x \log (4 x)+(-2 x+2 x^2+e^5 (-2+2 x)+(-e^5-x) \log (4 x)) \log (e^5+x)}{20 x^3-40 x^4+20 x^5+e^5 (20 x^2-40 x^3+20 x^4)+(40 x^3-40 x^4+e^5 (40 x^2-40 x^3)) \log (4 x)+(20 e^5 x^2+20 x^3) \log ^2(4 x)} \, dx\)
  3.16.88 \(\int \frac {e^{\frac {1}{2} (-x+2 x^2-x^3-e^x (1-2 x+x^2))} (-2+5 e^{\frac {1}{2} (x-2 x^2+x^3+e^x (1-2 x+x^2))}-x+4 x^2-3 x^3+e^x (x-x^3))}{x^2} \, dx\)
  3.16.89 \(\int \frac {e^7 (-8-8 x)+e^{2 e^{-2+x}} (2 e^2+4 e^x x)}{(e^{2+2 e^{-2+x}} x+e^7 (-4 x-2 x^2)) \log (\frac {e^{4 e^{-2+x}} x^2+e^{5+2 e^{-2+x}} (-8 x^2-4 x^3)+e^{10} (16 x^2+16 x^3+4 x^4)}{e^{10}})} \, dx\)
  3.16.90 \(\int -\frac {24 e^{\frac {1}{5} (e^{32}-2 e^{32} \log (2)+e^{32} \log ^2(2))}}{64+16 e^{\frac {1}{5} (e^{32}-2 e^{32} \log (2)+e^{32} \log ^2(2))} x+e^{\frac {2}{5} (e^{32}-2 e^{32} \log (2)+e^{32} \log ^2(2))} x^2} \, dx\)
  3.16.91 \(\int e^{-2 x} (-e^{2 x} x+e^{e^{-2 x} (x^2+e^{2 x} (2+4 x))} (2 x^3-2 x^4+e^{2 x} (2 x+4 x^2))-2 e^{2 x} x \log (x)) \, dx\)
  3.16.92 \(\int \frac {48 x+4 x^3+4 x^2 \log (\frac {5}{2})+(-48 x+4 x^3+(-24+2 x^2) \log (\frac {5}{2})) \log (\frac {-12+x^2}{2 e^2 x+e^2 \log (\frac {5}{2})})}{-24 x+2 x^3+(-12+x^2) \log (\frac {5}{2})} \, dx\)
  3.16.93 \(\int (4 x-e^x x+e^{14+e+x} (1+x)) \, dx\)
  3.16.94 \(\int e^{-5-4 x+6 x^2-x^3+(5-x) \log (\log (4))} (-4+12 x-3 x^2-\log (\log (4))) \, dx\)
  3.16.95 \(\int \frac {1}{3 e^{45}+x} \, dx\)
  3.16.96 \(\int \frac {e^{\frac {2}{5} (5 e^{\frac {-2 e^2+x \log ^2(\frac {2+3 x}{x})}{x^2}}-x)} (-4 x^3-6 x^4+e^{\frac {-2 e^2+x \log ^2(\frac {2+3 x}{x})}{x^2}} (e^2 (80+120 x)-40 x \log (\frac {2+3 x}{x})+(-20 x-30 x^2) \log ^2(\frac {2+3 x}{x})))}{10 x^3+15 x^4} \, dx\)
  3.16.97 \(\int \frac {1+5 x+8 x^2-7 x^3-14 x^4+20 x^5-4 x^6-4 x^7+2 x^8+(3 x+12 x^2-15 x^3-8 x^4+24 x^5-16 x^6+4 x^7) \log (x)}{-5 x-10 x^2+16 x^3+12 x^4-33 x^5+18 x^6+x^7-4 x^8+x^9+(x+5 x^2+6 x^3-11 x^4-8 x^5+24 x^6-16 x^7+4 x^8) \log (x)} \, dx\)
  3.16.98 \(\int \frac {e^8 (144 x^2-96 x^3+84 x^4-27 x^6)+e^{12} (64-96 x+192 x^2-152 x^3+144 x^4-54 x^5+27 x^6)}{-135 x^6+e^8 (-720 x^2+720 x^3-1260 x^4+540 x^5-405 x^6)+e^{12} (320-480 x+960 x^2-760 x^3+720 x^4-270 x^5+135 x^6)+e^4 (540 x^4-270 x^5+405 x^6)} \, dx\)
  3.16.99 \(\int \frac {-143 x^2+e^{5 x+x^2} (180 x^2+72 x^3)-3 \log (x)}{x^2} \, dx\)
  3.16.100 \(\int (6 x^5+e^{\frac {2 (e^2+x^3+2 x^2 \log (5)+x \log ^2(5))}{x}} (-2 e^2+2 x+4 x^3+4 x^2 \log (5))+e^{\frac {e^2+x^3+2 x^2 \log (5)+x \log ^2(5)}{x}} (-2 e^2 x^2+8 x^3+4 x^5+4 x^4 \log (5))) \, dx\)