3.14 Integrals 1301 to 1400

  3.14.1 \(\int \frac {2 x^3+e^{\frac {2 (3 x^2+(16+4 x) \log (x))}{x^2}} (-32-8 x-x^2+(64+8 x) \log (x))}{x^2} \, dx\)
  3.14.2 \(\int \frac {-12000-15601 x-12 e^{\frac {4}{5} (1+5 x)} x-3960 x^2-372 x^3-12 x^4+e^{\frac {3}{5} (1+5 x)} (-12-372 x-36 x^2)+e^{\frac {2}{5} (1+5 x)} (-360-3996 x-756 x^2-36 x^3)+e^{\frac {1}{5} (1+5 x)} (-3600-16320 x-4356 x^2-396 x^3-12 x^4)+(-3600-4320 x-36 e^{\frac {3}{5} (1+5 x)} x-756 x^2-36 x^3+e^{\frac {2}{5} (1+5 x)} (-36-756 x-72 x^2)+e^{\frac {1}{5} (1+5 x)} (-720-4392 x-792 x^2-36 x^3)) \log (x)+(-360-396 x-36 e^{\frac {2}{5} (1+5 x)} x-36 x^2+e^{\frac {1}{5} (1+5 x)} (-36-396 x-36 x^2)) \log ^2(x)+(-12-12 x-12 e^{\frac {1}{5} (1+5 x)} x) \log ^3(x)}{x} \, dx\)
  3.14.3 \(\int \frac {1+x}{x} \, dx\)
  3.14.4 \(\int \frac {-10 x+15 x^2+10 x^4+28 x^5+7 x^6+2 x^8+14 x^9+(10 x+20 x^4+6 x^5+12 x^8) \log (\frac {1+2 x^3}{x^2})}{1+2 x^3} \, dx\)
  3.14.5 \(\int \frac {6 x^2+6 x^3+(-216+1296 x+54 x^2-396 x^3) \log (x)+(108-648 x-9 x^2+210 x^3) \log (x) \log (\log (x))+(-18+108 x-36 x^3) \log (x) \log ^2(\log (x))+(1-6 x+2 x^3) \log (x) \log ^3(\log (x))}{(-216-432 x-216 x^2) \log (x)+(108+216 x+108 x^2) \log (x) \log (\log (x))+(-18-36 x-18 x^2) \log (x) \log ^2(\log (x))+(1+2 x+x^2) \log (x) \log ^3(\log (x))} \, dx\)
  3.14.6 \(\int e^{16-4 e^3-4 x} ((2-2 x-2 x \log (x)) \log (x^{1-x})+(1-4 x) \log ^2(x^{1-x})) \, dx\)
  3.14.7 \(\int \frac {100-40 e^2+4 e^4-x^3+(10 x^4+2 x^5) \log (x)+x^5 \log ^2(x)}{x^5} \, dx\)
  3.14.8 \(\int \frac {3 e^5+2 e^{5+2 x}+e^{5+x} (5-2 x)+e^{5+x} x \log (x)}{4 x+8 e^x x+4 e^{2 x} x+(-4 x-8 e^x x-4 e^{2 x} x) \log (x)+(x+2 e^x x+e^{2 x} x) \log ^2(x)} \, dx\)
  3.14.9 \(\int \frac {-x^3+2 e^{e^{2 x}+2 x} x^3-4 \log (x^2)+2 \log ^2(x^2)}{x^3} \, dx\)
  3.14.10 \(\int \frac {-1+x+e^x (2 x^2+x^3)+6 x \log (\frac {e^{x+e^x x^2}}{x})}{x \log (\frac {e^{x+e^x x^2}}{x})} \, dx\)
  3.14.11 \(\int \frac {e^{-1-3 x} \log ^2(-x+x^2) ((-9+18 x) \log (x)+(-3+3 x+(9-9 x^2) \log (x)) \log (-x+x^2))}{-x^4+x^5} \, dx\)
  3.14.12 \(\int (8 e^4 x-12 x^2-\log (2 e^3)) \log (\log (5)) \, dx\)
  3.14.13 \(\int \frac {5+10 e^{x^2} x+e^{5+e^{36 x^4}} (1+2 e^{x^2} x+e^{36 x^4} (288 x^3-144 e^{x^2} x^3-144 x^4))}{25+10 e^{5+e^{36 x^4}}+e^{10+2 e^{36 x^4}}} \, dx\)
  3.14.14 \(\int \frac {e^{\frac {6400-220 x+4 x^2-1280 x^3+172 x^4-4 x^5+64 x^6-15 x^7+x^8+(6400-860 x+20 x^2-640 x^3+150 x^4-10 x^5) \log (2)+(1600-375 x+25 x^2) \log ^2(2)}{100-20 x^3+x^6+(100-10 x^3) \log (2)+25 \log ^2(2)}} (-2200+80 x+5780 x^3-184 x^4-706 x^6+76 x^7+15 x^9-2 x^{10}+(-9700+440 x+5140 x^3-520 x^4-225 x^6+30 x^7) \log (2)+(-8050+700 x+1125 x^3-150 x^4) \log ^2(2)+(-1875+250 x) \log ^3(2))}{1000-300 x^3+30 x^6-x^9+(1500-300 x^3+15 x^6) \log (2)+(750-75 x^3) \log ^2(2)+125 \log ^3(2)} \, dx\)
  3.14.15 \(\int \frac {1}{4} (e^{e^x} (-1+e^x (-64-x))+80 x) \, dx\)
  3.14.16 \(\int \frac {20992-80852 x+116568 x^2-74529 x^3+17820 x^4+(-10512+35460 x-43308 x^2+22248 x^3-3888 x^4) \log (x)+(1296-3888 x+3888 x^2-1296 x^3) \log ^2(x)}{-8 x^3+24 x^4-24 x^5+8 x^6} \, dx\)
  3.14.17 \(\int \frac {50 \log ^2(3)+e^8 x \log (-\frac {x}{2}) \log ^3(5 \log (-\frac {x}{2}))}{-25 x \log ^2(3) \log (-\frac {x}{2}) \log (5 \log (-\frac {x}{2}))+e^8 x^2 \log (-\frac {x}{2}) \log ^3(5 \log (-\frac {x}{2}))} \, dx\)
  3.14.18 \(\int \frac {e^{-x} (e^x x^2+e^{\frac {1-e^{e^{e^{-x} (-x+e^x x^6)}}+x^2}{x}} (e^x (-1+x^2)+e^{e^{e^{-x} (-x+e^x x^6)}} (e^x+e^{e^{-x} (-x+e^x x^6)} (x-x^2-6 e^x x^6))))}{x^2} \, dx\)
  3.14.19 \(\int \frac {256}{1+256 x} \, dx\)
  3.14.20 \(\int \frac {240 x+120 e^4 x+15 e^8 x-5 x^2+(-240-120 e^4-15 e^8+5 x) \log (5)+(5 x^2+(-240-120 e^4-15 e^8) \log (5)) \log (x) \log (\log (x))}{(2304 x^2+144 e^{12} x^2+9 e^{16} x^2-96 x^3+x^4+e^4 (2304 x^2-48 x^3)+e^8 (864 x^2-6 x^3)+(-4608 x-288 e^{12} x-18 e^{16} x+192 x^2-2 x^3+e^8 (-1728 x+12 x^2)+e^4 (-4608 x+96 x^2)) \log (5)+(2304+144 e^{12}+9 e^{16}+e^4 (2304-48 x)+e^8 (864-6 x)-96 x+x^2) \log ^2(5)) \log (x)} \, dx\)
  3.14.21 \(\int \frac {-3-x-x^2+(x+2 x^2) \log (x)-e^{1+e^4+e^{1+e^4-x}-x} x \log ^2(x)}{x \log ^2(x)} \, dx\)
  3.14.22 \(\int \frac {-40-10 x-e^8 x+e^4 (-30 x-10 x^2)+(-30 x-2 e^4 x-10 x^2) \log (x)-x \log ^2(x)}{3 e^8 x+e^4 (120 x+30 x^2)+(120 x+6 e^4 x+30 x^2) \log (x)+3 x \log ^2(x)} \, dx\)
  3.14.23 \(\int \frac {-2 x-7 x^2-9 x^3+27 x^4-9 x^5+e^3 (6 x^2-6 x^3)+(-2+6 e^3 x+9 x^3) \log (x)}{9 x^4-9 x^5+9 x^3 \log (x)} \, dx\)
  3.14.24 \(\int \frac {15+15 x+2 x^2+6 x^3+x^7-5 x^8+3 x^9+(4 x^7-3 x^8) \log (x)}{-5 x-2 x^3-x^9+x^8 \log (x)} \, dx\)
  3.14.25 \(\int \frac {e^{\frac {2 (1+i \pi +\log (-3+2 \log (5)))}{x}} (-2-2 (i \pi +\log (-3+2 \log (5))))}{x^2} \, dx\)
  3.14.26 \(\int \frac {2 e^x x+2 x^3+e^{(e^x+x^2)^{\frac {x+\log (x)}{x}}} (e^x+x^2)^{\frac {x+\log (x)}{x}} (e^x x^2+2 x^3+(e^x x+2 x^2) \log (x)+(e^x+x^2+(-e^x-x^2) \log (x)) \log (e^x+x^2))}{-e^x x^2-x^4+e^{(e^x+x^2)^{\frac {x+\log (x)}{x}}} (e^x x^2+x^4)+(e^x x^2+x^4) \log (x^2)} \, dx\)
  3.14.27 \(\int (e^{2 e^{2 x} \log ^2(\frac {2}{x})} (-10 e^{10}+40 e^{10+2 x} \log (\frac {2}{x})-40 e^{10+2 x} x \log ^2(\frac {2}{x}))+e^{4 e^{2 x} \log ^2(\frac {2}{x})} (2 e^{20} x-8 e^{20+2 x} x \log (\frac {2}{x})+8 e^{20+2 x} x^2 \log ^2(\frac {2}{x}))) \, dx\)
  3.14.28 \(\int \frac {-20+360 x-270 x^2+15 x \log (x)}{-18 x^2+x \log (x)} \, dx\)
  3.14.29 \(\int \frac {e^{2+x} (1-2 x+x^2)+e^{\frac {-5+4 x-x^2+x^3}{-1+x}} (1-2 x+x^2)+(e^{2+x} (x-2 x^2+x^3)+e^{\frac {-5+4 x-x^2+x^3}{-1+x}} (x+2 x^2-4 x^3+2 x^4)) \log (x)}{(e^{2+x} (x-2 x^2+x^3)+e^{\frac {-5+4 x-x^2+x^3}{-1+x}} (x-2 x^2+x^3)) \log (x)} \, dx\)
  3.14.30 \(\int \frac {1}{16} e^{-16-8 x-x^2} (15 e^{16+8 x+x^2}+40 x-160 x^2-40 x^3) \, dx\)
  3.14.31 \(\int \frac {100+40 x+4 x^2+(-50-40 x-6 x^2) \log (x)+(10 x+2 x^2) \log ^2(x)-4 x \log ^3(x)+(-4+2 x) \log ^4(x)+2 \log ^5(x)+((-100-20 x) \log (x)-20 \log ^3(x)) \log (-2+\log (x))+(-200-40 x+(100+40 x) \log (x)-10 x \log ^2(x)) \log ^2(-2+\log (x))+100 \log (x) \log ^3(-2+\log (x))+(100-50 \log (x)) \log ^4(-2+\log (x))}{-2 x \log ^3(x)+x \log ^4(x)} \, dx\)
  3.14.32 \(\int \frac {16+8 x+2 x^4-2 x^5+(16+16 x^3-16 x^4) \log (x)+(32 x^2-32 x^3) \log ^2(x)}{x^4+8 x^3 \log (x)+16 x^2 \log ^2(x)} \, dx\)
  3.14.33 \(\int \frac {729+27 x-972 x^3+270 x^6-28 x^9+x^{12}+e (81-2187 x^2+729 x^5-81 x^8+3 x^{11})+(729-891 x^3+171 x^6-9 x^9+e (-2187 x^2+486 x^5-27 x^8)) \log (\frac {1}{3} (3 e+x))+(243-270 x^3+27 x^6+e (-729 x^2+81 x^5)) \log ^2(\frac {1}{3} (3 e+x))+(27-81 e x^2-27 x^3) \log ^3(\frac {1}{3} (3 e+x))}{81 e+27 x} \, dx\)
  3.14.34 \(\int \frac {132-25 x^2+e^{-10+4 x} x^2+x^4+e^{-5+2 x} x (24+2 x-2 x^2)}{144-24 x^2+e^{-10+4 x} x^2+x^4+e^{-5+2 x} x (24-2 x^2)} \, dx\)
  3.14.35 \(\int \frac {2 x^2-4 x^3+e (-8-2 x^2)+e^x (e (-4-x)+x^2-2 x^3)+(2 e+e^{1+x}) \log (2+e^x)}{2 x^2+e^x x^2} \, dx\)
  3.14.36 \(\int e^{-2 x} (6 x^5-2 x^6+e^x (-6 x^2-6 x^3+2 x^4+10 e^{-2+x} x^4+12 x^5-2 x^6)+e^{2 x} (2+2 x-6 x^2-8 x^3+6 x^5+e^{-4+2 x} (4 x^3+2 x^4)+e^{-2+x} (-4 x-8 x^2-2 x^3+10 x^4+2 x^5))) \, dx\)
  3.14.37 \(\int \frac {-14 x-16 x^2-4 x^3+\frac {e^{2 x} (-2 e^x-x)}{(2 e^x+x)^2}+e^x (-28-32 x-8 x^2)+\frac {e^x (1+7 x+4 x^2+e^x (16+8 x))}{2 e^x+x}}{16 x+16 x^2+4 x^3+\frac {e^{2 x}}{2 e^x+x}+\frac {e^x (e^x (-16-8 x)-8 x-4 x^2)}{2 e^x+x}+e^x (32+32 x+8 x^2)} \, dx\)
  3.14.38 \(\int \frac {1}{72} (-288 x+432 x^2+e^{4 x} (1+4 x)+(288-576 x) \log (x)+144 \log ^2(x)) \, dx\)
  3.14.39 \(\int \frac {-e^{-e+e^{-e+x}+x}-2 x}{e^{2 e^{-e+x}}+2 e^{e^{-e+x}} x^2+x^4} \, dx\)
  3.14.40 \(\int \frac {162 x+e^{e (20 x-20 x^2+5 x^3)} (x^2+e (-20 x^3+40 x^4-15 x^5))}{6561+162 e^{e (20 x-20 x^2+5 x^3)} x+e^{2 e (20 x-20 x^2+5 x^3)} x^2} \, dx\)
  3.14.41 \(\int \frac {-e^{e^5}-x^2}{e^{e^5} x-x^3} \, dx\)
  3.14.42 \(\int \frac {1960+336 x+12 x^2}{196+28 x+x^2} \, dx\)
  3.14.43 \(\int \frac {1}{128} e^{-2 x} (x \log (x)+(x-x^2) \log ^2(x)) \, dx\)
  3.14.44 \(\int \frac {1+3 x+x^2-x \log (x)}{-4 x+5 e^x x-x^2+x \log (x)} \, dx\)
  3.14.45 \(\int \frac {-2+2 x+2 x^2-6 x^3+4 x^2 \log (4)+(x-3 x^3+2 x^2 \log (4)) \log (x^2)+(4 x^2+2 x^2 \log (x^2)) \log (2+\log (x^2))}{2 x^2-2 x^4+2 x^3 \log (4)+(x^2-x^4+x^3 \log (4)) \log (x^2)+(-2 x+2 x^3+(-x+x^3) \log (x^2)) \log (2+\log (x^2))} \, dx\)
  3.14.46 \(\int \frac {-15+12 e^{-5+x}-24 x}{-16+4 e^{-5+x}-5 x-4 x^2} \, dx\)
  3.14.47 \(\int \frac {1}{8} (-16+3 x^2+e^{2/x} (-8+8 x)) \, dx\)
  3.14.48 \(\int \frac {15 e^{4 e^x}+540 e^{4 x}+15 e^{\frac {2 e^{e^x}}{5}+4 x}+e^{2 e^x} (60 e^{2 x}+120 e^{3 x})+e^{\frac {e^{e^x}}{5}} (-180 e^{4 x}-30 e^{2 e^x+2 x}-12 e^{e^x+5 x})}{5 e^{4 e^x} x^2+5 e^{\frac {2 e^{e^x}}{5}+4 x} x^2+e^{2 e^x+2 x} (-40 x+60 x^2)+e^{4 x} (80-240 x+180 x^2)+e^{\frac {e^{e^x}}{5}} (-10 e^{2 e^x+2 x} x^2+e^{4 x} (40 x-60 x^2))} \, dx\)
  3.14.49 \(\int -5 e^{-x} \, dx\)
  3.14.50 \(\int \frac {-1215000+1761750 x^2-972000 x^4+256320 x^6-32256 x^8+1536 x^{10}+e^{4 x} (-120 x^4-96 x^5-18 x^6+24 x^7)+(-1296000+1814400 x^2-977400 x^4+254112 x^6-31872 x^8+1536 x^{10}) \log (2)+(-518400+699840 x^2-367920 x^4+94356 x^6-11808 x^8+576 x^{10}) \log ^2(2)+(-92160+119808 x^2-61440 x^4+15552 x^6-1944 x^8+96 x^{10}) \log ^3(2)+(-6144+7680 x^2-3840 x^4+960 x^6-120 x^8+6 x^{10}) \log ^4(2)+e^{3 x} (5760 x^3+4320 x^4-864 x^5-2232 x^6-192 x^7+288 x^8+(1536 x^3+1152 x^4-192 x^5-576 x^6-48 x^7+72 x^8) \log (2))+e^{2 x} (-97200 x^2-64800 x^3+45900 x^4+50760 x^5-3168 x^6-13248 x^7-576 x^8+1152 x^9+(-51840 x^2-34560 x^3+23040 x^4+26496 x^5-1368 x^6-6768 x^7-288 x^8+576 x^9) \log (2)+(-6912 x^2-4608 x^3+2880 x^4+3456 x^5-144 x^6-864 x^7-36 x^8+72 x^9) \log ^2(2))+e^x (648000 x+324000 x^2-550800 x^3-340200 x^4+155520 x^5+133920 x^6-14592 x^7-23424 x^8+1536 x^{10}+(518400 x+259200 x^2-423360 x^3-267840 x^4+114912 x^5+103752 x^6-10368 x^7-17856 x^8+1152 x^{10}) \log (2)+(138240 x+69120 x^2-108288 x^3-70272 x^4+28224 x^5+26784 x^6-2448 x^7-4536 x^8+288 x^{10}) \log ^2(2)+(12288 x+6144 x^2-9216 x^3-6144 x^4+2304 x^5+2304 x^6-192 x^7-384 x^8+24 x^{10}) \log ^3(2))}{-1024+1280 x^2-640 x^4+160 x^6-20 x^8+x^{10}} \, dx\)
  3.14.51 \(\int \frac {e^4 (156-18 x)-8 x+e^2 (-104+24 x)}{e^4} \, dx\)
  3.14.52 \(\int ((-2-x) \log (4)-\log (4) \log (e^x x^2)) \, dx\)
  3.14.53 \(\int \frac {2 x^3+e^{.\frac {3}{2}/x} (3+2 x) \log (2) \log ^2(\log (4))}{2 x^3} \, dx\)
  3.14.54 \(\int \frac {(e^5+x^2+20 x^6) \log (4)+e^{\frac {4 x}{\log (4)}} (16 x^3+4 x^2 \log (4))+e^{\frac {3 x}{\log (4)}} (-48 x^4-32 x^3 \log (4))+e^{\frac {2 x}{\log (4)}} (48 x^5+72 x^4 \log (4))+e^{\frac {x}{\log (4)}} (-16 x^6-64 x^5 \log (4))}{4 e^{\frac {4 x}{\log (4)}} x^3 \log (4)-16 e^{\frac {3 x}{\log (4)}} x^4 \log (4)+24 e^{\frac {2 x}{\log (4)}} x^5 \log (4)-16 e^{\frac {x}{\log (4)}} x^6 \log (4)+(-e^5 x+x^3+4 x^7) \log (4)} \, dx\)
  3.14.55 \(\int \frac {(25165824-524288 x^2) \log ^4(4)-524288 x^2 \log ^4(4) \log (x)+(-452984832 x+18874368 x^3-196608 x^5) \log ^3(4) \log ^2(x)+(75497472 x+6291456 x^3-163840 x^5) \log ^3(4) \log ^3(x)+(2717908992 x^2-169869312 x^4+3538944 x^6-24576 x^8) \log ^2(4) \log ^4(x)+(-1358954496 x^2+28311552 x^4+589824 x^6-12288 x^8) \log ^2(4) \log ^5(x)+(-5435817984 x^3+452984832 x^5-14155776 x^7+196608 x^9-1024 x^{11}) \log (4) \log ^6(x)+(8153726976 x^3-566231040 x^5+14155776 x^7-147456 x^9+512 x^{11}) \log (4) \log ^7(x)+(-16307453952 x^4+1698693120 x^6-70778880 x^8+1474560 x^{10}-15360 x^{12}+64 x^{14}) \log ^9(x)}{(-254803968 x+26542080 x^3-1105920 x^5+23040 x^7-240 x^9+x^{11}) \log ^9(x)} \, dx\)
  3.14.56 \(\int \frac {-15-12 x^3}{25 x^2+10 x^5+x^8+(10 x+2 x^4) \log (5)+\log ^2(5)} \, dx\)
  3.14.57 \(\int \frac {36-288 x-128 x^2+82 x^3+56 x^4+8 x^5+e^{\frac {-15-6 x}{-3+5 x+2 x^2}} (9-30 x+13 x^2+20 x^3+4 x^4)+e^{\frac {-15-6 x}{-3+5 x+2 x^2}} (18-51 x-4 x^2+53 x^3+28 x^4+4 x^5) \log (x)}{18 x-60 x^2+26 x^3+40 x^4+8 x^5+e^{\frac {-15-6 x}{-3+5 x+2 x^2}} (9 x-30 x^2+13 x^3+20 x^4+4 x^5) \log (x)} \, dx\)
  3.14.58 \(\int \frac {24 e^{40-2 x}+x^2+e^{20-x} (-8 x+2 x^2)}{32 e^{40-2 x}-16 e^{20-x} x+2 x^2} \, dx\)
  3.14.59 \(\int \frac {4^{-x} (\frac {4 x^2+x^2 \log (7)+\log (x)}{x^2})^x (1-2 \log (x)+(4 x^2+x^2 \log (7)+\log (x)) \log (\frac {4 x^2+x^2 \log (7)+\log (x)}{4 x^2}))}{4 x^2+x^2 \log (7)+\log (x)} \, dx\)
  3.14.60 \(\int \frac {27 x^2-27 x^3-45 x^4-17 x^5-2 x^6+e^6 (x^2-2 x^3)+e^4 (9 x^2-15 x^3-6 x^4)+e^2 (27 x^2-36 x^3-33 x^4-6 x^5)+e^{\frac {-125-15 e^4+e^2 (-90-30 x)-90 x-15 x^2}{9 x+e^4 x+6 x^2+x^3+e^2 (6 x+2 x^2)}} (375+15 e^6+375 x+135 x^2+15 x^3+e^4 (135+45 x)+e^2 (395+270 x+45 x^2))}{27 x^2+e^6 x^2+27 x^3+9 x^4+x^5+e^4 (9 x^2+3 x^3)+e^2 (27 x^2+18 x^3+3 x^4)} \, dx\)
  3.14.61 \(\int \frac {-8+8 x+6 x^2+7 x^3+x^4+(-8-10 x+16 x^2+2 x^3) \log (\frac {4+9 x+x^2}{15 x+5 e^5 x})}{-4 x^2-5 x^3+8 x^4+x^5} \, dx\)
  3.14.62 \(\int \frac {4 x+8 x^2+(8+8 x) \log (5 x)+(-4-4 x+4 x^2-\log (25)+8 x \log (5 x)+4 \log ^2(5 x)) \log (\frac {1}{4} (-4-4 x+4 x^2-\log (25)+8 x \log (5 x)+4 \log ^2(5 x)))}{-4-4 x+4 x^2-\log (25)+8 x \log (5 x)+4 \log ^2(5 x)} \, dx\)
  3.14.63 \(\int (1-64 e^{-8+8 e^2-32 e^{2 x}+2 x}+4 x^3+e^{-4+4 e^2-16 e^{2 x}} (-4 x+64 e^{2 x} x^2)) \, dx\)
  3.14.64 \(\int \frac {1}{3} e^{\frac {1}{3} (-3 x+24 x^2-4 e^{e^x} x^2+3 \log (\frac {5}{4}))} (-12+192 x+e^{e^x} (-32 x-16 e^x x^2)) \, dx\)
  3.14.65 \(\int \frac {-4+6 x+(-4+9 x) \log (x)}{(-2 x+3 x^2) \log (x)} \, dx\)
  3.14.66 \(\int \frac {8 x^2+e^4 (64-32 x+4 x^2)}{4 x^4+e^8 (256-32 x^2+x^4)+e^4 (-64 x^2+4 x^4)} \, dx\)
  3.14.67 \(\int \frac {-96 x+24 x^2+e^{x^2} (-96+24 x)+(-32 x+16 x^2+e^{x^2} (8 x-64 x^2+16 x^3)) \log (\frac {1}{x^3})}{16 x^3-8 x^4+x^5+e^{2 x^2} (16 x-8 x^2+x^3)+e^{x^2} (32 x^2-16 x^3+2 x^4)} \, dx\)
  3.14.68 \(\int \frac {1}{50} e^{-e^2-x+\frac {1}{50} e^{-e^2-x} x^2 (5+\frac {50 e^{e^2+x} \log (\frac {\log (4)}{x})}{x^2})} (10-\frac {50 e^{e^2+x}}{x^2}-5 x) x \, dx\)
  3.14.69 \(\int \frac {25000 e^{\frac {25+3 x}{5+x}}-315000 e^{\frac {25+3 x}{5+x}} \log (2+e^{\frac {25+3 x}{5+x}})+1318000 e^{\frac {25+3 x}{5+x}} \log ^2(2+e^{\frac {25+3 x}{5+x}})-1831200 e^{\frac {25+3 x}{5+x}} \log ^3(2+e^{\frac {25+3 x}{5+x}})}{(50+20 x+2 x^2+e^{\frac {25+3 x}{5+x}} (25+10 x+x^2)) \log ^5(2+e^{\frac {25+3 x}{5+x}})} \, dx\)
  3.14.70 \(\int \frac {-56 x^2+62 x^4+28 x^5+10 x^6+4 x^7+e^5 (-14-28 x-2 x^2-4 x^3)+(-112 x^2-168 x^3-72 x^4-24 x^5-8 x^6) \log (5)+(56+112 x+106 x^2+44 x^3+14 x^4+4 x^5) \log ^2(5)+(56 x^2+48 x^3+22 x^4+18 x^5+6 x^6+e^5 (-14-2 x-6 x^2)+(-112 x-112 x^2-60 x^3-40 x^4-12 x^5) \log (5)+(56+64 x+38 x^2+22 x^3+6 x^4) \log ^2(5)) \log (-\frac {5 x}{-e^5+4 x^2+4 x^3+x^4+(-8 x-8 x^2-2 x^3) \log (5)+(4+4 x+x^2) \log ^2(5)})+(-2 e^5 x+8 x^3+8 x^4+2 x^5+(-16 x^2-16 x^3-4 x^4) \log (5)+(8 x+8 x^2+2 x^3) \log ^2(5)) \log ^2(-\frac {5 x}{-e^5+4 x^2+4 x^3+x^4+(-8 x-8 x^2-2 x^3) \log (5)+(4+4 x+x^2) \log ^2(5)})}{-e^5+4 x^2+4 x^3+x^4+(-8 x-8 x^2-2 x^3) \log (5)+(4+4 x+x^2) \log ^2(5)} \, dx\)
  3.14.71 \(\int \frac {1}{125} e^{-x+x^2} (8-10 x+17 x^2-2 x^3) \, dx\)
  3.14.72 \(\int \frac {-8 x^2+2 x^3+3 x^4-x^5+(2-x) \log (5)+(-8 x^2+4 x^3+9 x^4-4 x^5-2 \log (5)) \log (x)}{x^2} \, dx\)
  3.14.73 \(\int \frac {11+e^{2 x} x^2+e^x (-2 x+10 x^2)+(-11+12 e^x x-e^{2 x} x^2) \log (\frac {-44 x+4 e^x x^2}{-1+e^x x}) \log (\log (\frac {-44 x+4 e^x x^2}{-1+e^x x}))}{(55 x^2-60 e^x x^3+5 e^{2 x} x^4) \log (\frac {-44 x+4 e^x x^2}{-1+e^x x})+(-110 x+120 e^x x^2-10 e^{2 x} x^3) \log (\frac {-44 x+4 e^x x^2}{-1+e^x x}) \log (\log (\frac {-44 x+4 e^x x^2}{-1+e^x x}))+(55-60 e^x x+5 e^{2 x} x^2) \log (\frac {-44 x+4 e^x x^2}{-1+e^x x}) \log ^2(\log (\frac {-44 x+4 e^x x^2}{-1+e^x x}))} \, dx\)
  3.14.74 \(\int \frac {x^2+e^{5+x} (4+x^2)+(-4-4 e^{5+x}-x^3) \log (x)+(-e^{5+x} x^2+(x^2+e^{5+x} x^2) \log (x)) \log (e^{-5-x} (-e^{5+x}+(1+e^{5+x}) \log (x)))}{-e^{5+x} x^2+(x^2+e^{5+x} x^2) \log (x)} \, dx\)
  3.14.75 \(\int \frac {e^{-8+e^{e^{\frac {4 x^6+e^4 (2500 x^3-200 x^6+36 x^7+4 x^9)+e^8 (390625-62500 x^3+11250 x^4+3750 x^6-900 x^7+81 x^8-100 x^9+18 x^{10}+x^{12})}{e^8 x^8}}}+e^{\frac {4 x^6+e^4 (2500 x^3-200 x^6+36 x^7+4 x^9)+e^8 (390625-62500 x^3+11250 x^4+3750 x^6-900 x^7+81 x^8-100 x^9+18 x^{10}+x^{12})}{e^8 x^8}}+\frac {4 x^6+e^4 (2500 x^3-200 x^6+36 x^7+4 x^9)+e^8 (390625-62500 x^3+11250 x^4+3750 x^6-900 x^7+81 x^8-100 x^9+18 x^{10}+x^{12})}{e^8 x^8}} (-8 x^6+e^4 (-12500 x^3+400 x^6-36 x^7+4 x^9)+e^8 (-3125000+312500 x^3-45000 x^4-7500 x^6+900 x^7-100 x^9+36 x^{10}+4 x^{12}))}{x^9} \, dx\)
  3.14.76 \(\int \frac {6 x^5}{\log ^2(-20+e^{24})} \, dx\)
  3.14.77 \(\int \frac {x^2+e^{\frac {-48+12 x^2-12 x^3+e^5 (36 x^2+12 x^3)}{x}} (48+12 x^2-24 x^3+e^5 (36 x^2+24 x^3))}{x^2} \, dx\)
  3.14.78 \(\int \frac {-10+12 x-6 x^2+e^{20+x} (-6+12 x-6 x^2)+(-9+23 x-17 x^2+3 x^3+e^{20+x} (3-6 x+3 x^2)) \log (\frac {36-72 x+36 x^2}{81-252 x+250 x^2-84 x^3+9 x^4+e^{40+2 x} (9-18 x+9 x^2)+e^{20+x} (-54+138 x-102 x^2+18 x^3)})}{(-9+23 x-17 x^2+3 x^3+e^{20+x} (3-6 x+3 x^2)) \log (\frac {36-72 x+36 x^2}{81-252 x+250 x^2-84 x^3+9 x^4+e^{40+2 x} (9-18 x+9 x^2)+e^{20+x} (-54+138 x-102 x^2+18 x^3)})} \, dx\)
  3.14.79 \(\int \frac {e^{-\frac {1}{-x+(-15+9 x-3 \log (4)+e^x (5-3 x+\log (4))) \log (x)}} (-15+8 x-3 \log (4)+e^x (5-3 x+\log (4))+(9 x+e^x (2 x-3 x^2+x \log (4))) \log (x))}{x^3+(30 x^2-18 x^3+6 x^2 \log (4)+e^x (-10 x^2+6 x^3-2 x^2 \log (4))) \log (x)+(225 x-270 x^2+81 x^3+(90 x-54 x^2) \log (4)+9 x \log ^2(4)+e^x (-150 x+180 x^2-54 x^3+(-60 x+36 x^2) \log (4)-6 x \log ^2(4))+e^{2 x} (25 x-30 x^2+9 x^3+(10 x-6 x^2) \log (4)+x \log ^2(4))) \log ^2(x)} \, dx\)
  3.14.80 \(\int \frac {e^{-e^{e^{-x} (e^x (-3-x)+x)}-x} (e^{e^{-x} (e^x (-3-x)+x)} (4 x^2-4 e^x x^2-4 x^3)+e^{e^{e^{-x} (e^x (-3-x)+x)}} (e^{2 x} (-1+x)+e^x (4-x^2)))}{x^2} \, dx\)
  3.14.81 \(\int -12 e^{-10-x} \, dx\)
  3.14.82 \(\int \frac {e^{\frac {2 (189 x+198 x^2+111 x^3+30 x^4+3 x^5+e^8 (432 x+288 x^2+48 x^3)+e^4 (216 x+432 x^2+192 x^3+24 x^4))}{9+6 x+x^2}} (1134+1998 x+1998 x^2+942 x^3+210 x^4+18 x^5+e^8 (2592+2592 x+864 x^2+96 x^3)+e^4 (1296+4752 x+3456 x^2+960 x^3+96 x^4))}{27+27 x+9 x^2+x^3} \, dx\)
  3.14.83 \(\int \frac {3-3 x-5 x^2+3 x^3+2 x^4+(-3+6 x+3 x^2+6 x^3+6 x^4) \log (\frac {4 x}{1+x^2})}{54 x^2-108 x^3+36 x^4-36 x^5+6 x^6+72 x^7+24 x^8} \, dx\)
  3.14.84 \(\int \frac {e^{\frac {2}{9 x^2+6 x^3+x^4}} (-12-8 x)+54 x^4-108 x^5-36 x^6+56 x^7+30 x^8+4 x^9+e^{\frac {1}{9 x^2+6 x^3+x^4}} (12 x-4 x^2-62 x^3+54 x^4+90 x^5+34 x^6+4 x^7)}{27 x^3+27 x^4+9 x^5+x^6} \, dx\)
  3.14.85 \(\int \frac {4+(4-x) \log (4-x)+(8 x+6 x^2-2 x^3) \log (x)+(4 x^2-x^3) \log ^2(x)}{-8 x^2+2 x^3} \, dx\)
  3.14.86 \(\int \frac {7 x^2+4 e^{e^{\frac {1+4 x-x^2}{x}}+\frac {1+4 x-x^2}{x}} (-2-2 x^2)}{x^2} \, dx\)
  3.14.87 \(\int \frac {(64-16 x) \log (x)+(-64 x+16 x^2) \log (x) \log (2 x)+(64-16 x+(64-48 x) \log (x)) \log (2 x) \log (\frac {e^x}{\log (2 x)})}{(-64 x^2+48 x^3-12 x^4+x^5) \log ^2(x) \log (2 x)} \, dx\)
  3.14.88 \(\int \frac {-5 e^x+5 x^2-20 x^3+20 x^4+(8 x^2-16 x^3) \log (x)+3 x^2 \log ^2(x)}{-125-5 e^x+x^3-4 x^4+4 x^5+(2 x^3-4 x^4) \log (x)+x^3 \log ^2(x)} \, dx\)
  3.14.89 \(\int \frac {e^x (25+10 x+21 x^2+4 x^3+4 x^4)+e^{\frac {e^3+5 x+x^2+2 x^3}{5+x+2 x^2}} (25+e^3 (-1-4 x)+10 x+21 x^2+4 x^3+4 x^4)}{25+10 x+21 x^2+4 x^3+4 x^4} \, dx\)
  3.14.90 \(\int \frac {1875-3 e+e^{2 x} (1252-2 e-4 x)}{390625+e^2-2500 x+4 x^2+e (-1250+4 x)} \, dx\)
  3.14.91 \(\int \frac {1}{5} (1+15 x^2) \, dx\)
  3.14.92 \(\int \frac {e^{\frac {1}{4} (15-4 e^x+20 x-5 \log (3))} (-e^x x \log (4)+(-1+5 x) \log (4))}{x^2} \, dx\)
  3.14.93 \(\int \frac {-1-18 x+2 e^2 x-3 x^2}{1-x-9 x^2+e^2 x^2-x^3} \, dx\)
  3.14.94 \(\int \frac {e^{-e^{9-x}} (-40+10 x+e^{9-x} (122-80 x+10 x^2)+e^{9-x} (61-40 x+5 x^2) \log (61-40 x+5 x^2))}{61-40 x+5 x^2} \, dx\)
  3.14.95 \(\int \frac {100-20 x+20 x^2-84 x^3+76 x^4-12 x^5+(20+4 x^2-16 x^3+12 x^4) \log (x)+e^2 (-10+10 x) \log (5-x+\log (x))+(e^2 (25-5 x)+5 e^2 \log (x)) \log ^2(5-x+\log (x))}{20 x^2-4 x^3+4 x^2 \log (x)} \, dx\)
  3.14.96 \(\int \frac {-2-79 x-39 x^2+(2+7 x+6 x^2) \log (x)+(6 x+3 x^2) \log (2 x+x^2)}{8 x^2+4 x^3+(16 x+632 x^2+312 x^3) \log (x)+(8+628 x+12480 x^2+6084 x^3) \log ^2(x)+((-48 x^2-24 x^3) \log (x)+(-48 x-1896 x^2-936 x^3) \log ^2(x)) \log (2 x+x^2)+(72 x^2+36 x^3) \log ^2(x) \log ^2(2 x+x^2)} \, dx\)
  3.14.97 \(\int \frac {e^{e^{-2 x} x^2 (9+\frac {e^x (-48-18 x)}{x}+\frac {e^{2 x} (61+48 x+9 x^2)}{x^2})} (18-18 x+\frac {e^x (-48+12 x+18 x^2)}{x}+\frac {e^{2 x} (48 x+18 x^2)}{x^2})}{-\frac {2 e^{2 x}}{x}+\frac {e^{2 x+e^{-2 x} x^2 (9+\frac {e^x (-48-18 x)}{x}+\frac {e^{2 x} (61+48 x+9 x^2)}{x^2})}}{x}} \, dx\)
  3.14.98 \(\int (2 e^{x^2} x+2^{2 x-2 e^{50} x} (-2+2 e^{50}) \log (2)) \, dx\)
  3.14.99 \(\int \frac {e^{-16+10 x-2 x^2} (7-x) (-69+38 x-4 x^2)+e^x (-7-6 x+x^2)}{-63+9 x} \, dx\)
  3.14.100 \(\int \frac {68 x^4-68 x^5+17 x^6+e^{-2 x^2+2 x^3} (68-68 x+17 x^2)+e^{-\frac {x}{-2+x}} (-128 x+160 x^2-32 x^3)+e^{-x^2+x^3} (-136 x^2+136 x^3-34 x^4+e^{-\frac {x}{-2+x}} (-32-128 x+320 x^2-224 x^3+48 x^4))}{64 x^4-64 x^5+16 x^6+e^{-2 x^2+2 x^3} (64-64 x+16 x^2)+e^{-x^2+x^3} (-128 x^2+128 x^3-32 x^4)} \, dx\)