3.11 Integrals 1001 to 1100

  3.11.1 \(\int \frac {2 x^2+4 x^3+(2 x+2 x^2+2 x^3) \log (1+x+x^2)+(e^3 (-1-x-x^2)+(-2 x-2 x^2-2 x^3) \log (1+x+x^2)) \log (e^3+2 x \log (1+x+x^2))+(e^3 (-1-x-x^2)+(-2 x-2 x^2-2 x^3) \log (1+x+x^2)) \log (e^3+2 x \log (1+x+x^2)) \log (\log (e^3+2 x \log (1+x+x^2)))}{(e^3 (x^2+x^3+x^4)+(2 x^3+2 x^4+2 x^5) \log (1+x+x^2)) \log (e^3+2 x \log (1+x+x^2))} \, dx\)
  3.11.2 \(\int \frac {125-125 \log (\frac {x}{e})+(-175+250 x) \log ^2(\frac {x}{e})}{150 x^2+(420 x^2-300 x^3) \log (\frac {x}{e})+(294 x^2-420 x^3+150 x^4) \log ^2(\frac {x}{e})} \, dx\)
  3.11.3 \(\int \frac {e^4 (-1+17 x-4 x^2-12 x^3+3 x^4)+e^4 (4 x-3 x^3) \log (x)+(e^4 (20-5 x-12 x^2+3 x^3)+e^4 (5-3 x^2) \log (x)) \log (-4+x-\log (x))+(e^4 (-4 x+x^2)-e^4 x \log (x)+(e^4 (-4+x)-e^4 \log (x)) \log (-4+x-\log (x))) \log (x+\log (-4+x-\log (x)))}{4 x-x^2+x \log (x)+(4-x+\log (x)) \log (-4+x-\log (x))} \, dx\)
  3.11.4 \(\int \frac {-5+(-1+e^{4+x} x-8 x^2) \log ^2(x)}{x \log ^2(x)} \, dx\)
  3.11.5 \(\int \frac {1}{3} (-3-64 e^{\frac {4}{3} (x+(i \pi +\log (2))^2)}+192 e^{x+(i \pi +\log (2))^2} \log (4)-192 e^{\frac {2}{3} (x+(i \pi +\log (2))^2)} \log ^2(4)+64 e^{\frac {1}{3} (x+(i \pi +\log (2))^2)} \log ^3(4)) \, dx\)
  3.11.6 \(\int \frac {4-6 e+e^4+x^2+e^x x^2}{-4 x-e^4 x+x^2+e^x x^2+x^3+e (6 x+x^2)} \, dx\)
  3.11.7 \(\int \frac {1-6 x^2+27 x^3+3 x \log (3)}{3 x} \, dx\)
  3.11.8 \(\int \frac {140-184 x-64 x^2+e^x (28-20 x-16 x^2)+e^{e^x} (8575-11270 x+2863 x^2+1172 x^3-304 x^4-64 x^5+e^{3 x} (-343 x+588 x^2-336 x^3+64 x^4)+e^{2 x} (343-4018 x+5530 x^2-2248 x^3-32 x^4+128 x^5)+e^x (3430-13769 x+13454 x^2-2831 x^3-1300 x^4+304 x^5+64 x^6))}{-8575 x^2+11270 x^3-2863 x^4-1172 x^5+304 x^6+64 x^7+e^{2 x} (-343 x^2+588 x^3-336 x^4+64 x^5)+e^x (-3430 x^2+5194 x^3-2184 x^4-32 x^5+128 x^6)} \, dx\)
  3.11.9 \(\int \frac {4-5 x+4 \log (x)+x^2 \log ^2(x)}{x^2 \log ^2(x)} \, dx\)
  3.11.10 \(\int \frac {2 x^3-6 x^4+e^{\frac {16-8 x-9 x^2}{x^2}} (-96+24 x)}{x^3} \, dx\)
  3.11.11 \(\int \frac {e^x (-625 x+625 x^2)+e^{\frac {e^{-x} (-4+e^x (2 x+x^2))}{x}} (2500+2500 x+625 e^x x^2)}{e^{x+\frac {2 e^{-x} (-4+e^x (2 x+x^2))}{x}} x^2+e^x (4 x^2+4 x^3+x^4)+e^x (-4 x^2-2 x^3) \log (5 x)+e^x x^2 \log ^2(5 x)+e^{\frac {e^{-x} (-4+e^x (2 x+x^2))}{x}} (e^x (4 x^2+2 x^3)-2 e^x x^2 \log (5 x))} \, dx\)
  3.11.12 \(\int \frac {1}{4} (8-10 x-18 x^2-24 x^3-5 x^4+e^{2 x^2} (10 x+3 x^2+20 x^3+4 x^4)) \, dx\)
  3.11.13 \(\int \frac {200 e^{\frac {50-30 x}{3 x}}+19 x^2}{3 x^2} \, dx\)
  3.11.14 \(\int \frac {e^{\frac {4 (e^4 x+x^2)}{e^3}} (4 e^4+8 x)+e^{\frac {3 (e^4 x+x^2)}{e^3}} (-4 e^3+e^4 (-12-12 x)-24 x-24 x^2)+e^3 (4+12 x+12 x^2+4 x^3)+e^{\frac {2 (e^4 x+x^2)}{e^3}} (24 x+48 x^2+24 x^3+e^3 (12+12 x)+e^4 (12+24 x+12 x^2))+e^{\frac {e^4 x+x^2}{e^3}} (-8 x-24 x^2-24 x^3-8 x^4+e^3 (-12-24 x-12 x^2)+e^4 (-4-12 x-12 x^2-4 x^3))}{e^3} \, dx\)
  3.11.15 \(\int \frac {4 x^2+e^4 (-8+2 x)+e^x (2 e^4-x^2+x^3)}{(4 x^3-e^x x^3-x^4+2 e^{\frac {e^4}{x^2}} x^4) \log ^2(\frac {e^{-\frac {e^4}{x^2}} (-4+e^x+x-2 e^{\frac {e^4}{x^2}} x)}{x})} \, dx\)
  3.11.16 \(\int \frac {e^6 (450+360 x+72 x^3-18 x^4+e (-150 x+90 x^3-60 x^4)+e^2 (-50 x^3-50 x^4))+e^{6+x} (450 x-450 x^2-108 x^3+126 x^4-18 x^5+e (540 x^3+120 x^4-60 x^5)+e^2 (-50 x^3-150 x^4-50 x^5))+e^{6+2 x} (-360 x^3+162 x^4-18 x^5+e (150 x^3+240 x^4-60 x^5)+e^2 (-50 x^4-50 x^5))}{25 x^3} \, dx\)
  3.11.17 \(\int \frac {-4 x+e^x x+(-12 x-4 x^2+e^x (3 x+3 x^2)) \log (x)+(-8 x+2 e^x x) \log (x) \log (\frac {3}{(16 x^3-8 e^x x^3+e^{2 x} x^3) \log (x)})}{(-12 x^2+3 e^x x^2) \log (x)+(-24 x+6 e^x x) \log (x) \log (\frac {3}{(16 x^3-8 e^x x^3+e^{2 x} x^3) \log (x)})+(-12+3 e^x) \log (x) \log ^2(\frac {3}{(16 x^3-8 e^x x^3+e^{2 x} x^3) \log (x)})} \, dx\)
  3.11.18 \(\int \frac {2+72 e^4+18 e^4 \log (3+x)}{e^4 (27+9 x)} \, dx\)
  3.11.19 \(\int \frac {-2 x^2+e^6 (-x+x^2)+e^3 (-2 x^2+x^3)+(x+e^3 x+x^2-3 x^3+x^4) \log (x)+2 x^2 \log ^2(x)+(e^6+x+e^3 x+(-e^6-x-e^3 x+x^2) \log (x)-x^2 \log ^2(x)) \log (e^6+x+e^3 x+x^2 \log (x))}{e^6 x^2+x^3+e^3 x^3+x^4 \log (x)} \, dx\)
  3.11.20 \(\int \frac {e^{\frac {x}{1+x}} (x^2+(-5-5 x-6 x^2) \log (2))+e^{\frac {2 x}{1+x}} (-2-4 x-2 x^2-243 x^4-486 x^5-243 x^6+(2+4 x+2 x^2-1620 x^3-2997 x^4-1134 x^5+243 x^6) \log (2))}{(x^2+2 x^3+x^4) \log (2)+e^{\frac {x}{1+x}} (-4 x-8 x^2-4 x^3+162 x^5+324 x^6+162 x^7) \log (2)+e^{\frac {2 x}{1+x}} (4+8 x+4 x^2-324 x^4-648 x^5-324 x^6+6561 x^8+13122 x^9+6561 x^{10}) \log (2)} \, dx\)
  3.11.21 \(\int \frac {3}{800} e^{2 x/25} \, dx\)
  3.11.22 \(\int \frac {e^{2 x} (-4 x^3-2 x^4-2 x^5+2 x^6)+e^x (-188 x+282 x^2+282 x^3-470 x^5-376 x^6+94 x^7+94 x^8)}{-1+5 x-5 x^2-10 x^3+15 x^4+11 x^5-15 x^6-10 x^7+5 x^8+5 x^9+x^{10}} \, dx\)
  3.11.23 \(\int \frac {e^2 (31250 x-25000 x^2+7500 x^3-950 x^4+40 x^5)}{31250-25000 x-2375 x^2+6700 x^3-1518 x^4-230 x^5+138 x^6-20 x^7+x^8} \, dx\)
  3.11.24 \(\int \frac {-45000-2400 x^3+3528 x^4-2016 x^5+256 x^6}{625 x^3} \, dx\)
  3.11.25 \(\int (20-8 e^{2 x}-8 x-8 \log (\frac {4}{3})+e^x (-4+8 x+8 \log (\frac {4}{3}))) \, dx\)
  3.11.26 \(\int \frac {960 x^2+656 x^3+12 x^4+e^x (160 x^3-77 x^4-x^5)}{64+128 x+64 x^2+4 e^{2 x} x^2+e^x (32 x+32 x^2)} \, dx\)
  3.11.27 \(\int \frac {72 x^3+48 x^4+8 x^5+e^{2 x} (27-36 x-33 x^2-6 x^3)+e^{\frac {x-x^2}{3+x}} (-6 x^2+12 x^3+2 x^4)}{36 x^2+24 x^3+4 x^4} \, dx\)
  3.11.28 \(\int \frac {-2 e^{2 x} x^5+(-5 x^5+5 x^4 \log (4 e^{e^{2 x}+x})) \log (-x+\log (4 e^{e^{2 x}+x}))+(-x-x \log (x)+\log (4 e^{e^{2 x}+x}) (1+\log (x))) \log ^2(-x+\log (4 e^{e^{2 x}+x}))}{(-x+\log (4 e^{e^{2 x}+x})) \log ^2(-x+\log (4 e^{e^{2 x}+x}))} \, dx\)
  3.11.29 \(\int \frac {518 x+256 x^2-16 x^4-2 x^5}{67081+132608 x+112674 x^2+54880 x^3+16991 x^4+3424 x^5+438 x^6+32 x^7+x^8} \, dx\)
  3.11.30 \(\int \frac {10485760 x+18874368 x^2+14155776 x^3+5914624 x^4+1545728 x^5+267520 x^6+31232 x^7+2384 x^8+106 x^9+2 x^{10}+e^{16} (655360 x+1310720 x^2+1146880 x^3+573440 x^4+179200 x^5+35840 x^6+4480 x^7+320 x^8+10 x^9)+e^{12} (5242880 x+10158080 x^2+8519680 x^3+4034560 x^4+1177600 x^5+216320 x^6+24320 x^7+1520 x^8+40 x^9)+e^8 (15728640 x+29622272 x^2+23855104 x^3+10735616 x^4+2956288 x^5+512000 x^6+55168 x^7+3536 x^8+124 x^9+2 x^{10})+e^4 (20971520 x+38535168 x^2+29884416 x^3+12881920 x^4+3414016 x^5+581120 x^6+64512 x^7+4624 x^8+200 x^9+4 x^{10})}{2097152000+2516582400 x+1515192320 x^2+626524160 x^3+201646080 x^4+52879360 x^5+11408640 x^6+2030720 x^7+297885 x^8+35140 x^9+3110 x^{10}+180 x^{11}+5 x^{12}+e^{32} (8192000+16384000 x+14336000 x^2+7168000 x^3+2240000 x^4+448000 x^5+56000 x^6+4000 x^7+125 x^8)+e^{28} (131072000+245760000 x+200704000 x^2+93184000 x^3+26880000 x^4+4928000 x^5+560000 x^6+36000 x^7+1000 x^8)+e^{24} (917504000+1612185600 x+1231667200 x^2+534732800 x^3+144614400 x^4+25088000 x^5+2766400 x^6+184800 x^7+6700 x^8+100 x^9)+e^{20} (3670016000+6042419200 x+4333568000 x^2+1776230400 x^3+459110400 x^4+77952000 x^5+8780800 x^6+644000 x^7+28600 x^8+600 x^9)+e^{16} (9175040000+14155776000 x+9581035520 x^2+3757015040 x^3+951324160 x^4+164334080 x^5+19918400 x^6+1702880 x^7+100110 x^8+3740 x^9+70 x^{10})+e^{12} (14680064000+21233664000 x+13668188160 x^2+5221580800 x^3+1335685120 x^4+244779520 x^5+33366400 x^6+3407840 x^7+251800 x^8+12080 x^9+280 x^{10})+e^8 (14680064000+19922944000 x+12332564480 x^2+4699586560 x^3+1257328640 x^4+253757440 x^5+39852480 x^6+4837920 x^7+436140 x^8+27260 x^9+1060 x^{10}+20 x^{11})+e^4 (8388608000+10695475200 x+6464471040 x^2+2527723520 x^3+731463680 x^4+166676480 x^5+30293760 x^6+4308960 x^7+462280 x^8+35320 x^9+1720 x^{10}+40 x^{11})} \, dx\)
  3.11.31 \(\int \frac {-6-12 x-11 x^2+2 x^3+2 x^2 \log (x)}{25 x-20 x^2+4 x^3+(-10 x+4 x^2) \log (x)+x \log ^2(x)} \, dx\)
  3.11.32 \(\int \frac {e^x (-150-265 x-136 x^2-16 x^3)+e^{\frac {-8 x+4 e^4 x^2}{5+4 x}} (-175+16 x^2+e^4 (200 x+120 x^2+16 x^3))}{25+40 x+16 x^2} \, dx\)
  3.11.33 \(\int (4-8 e^{2 x}) \, dx\)
  3.11.34 \(\int \frac {12 e^x+15 e^{6 x}+(3 e^{6 x}+e^x (48+12 x)) \log (\frac {1}{4} (16+e^{5 x}+4 x))}{16+e^{5 x}+4 x} \, dx\)
  3.11.35 \(\int \frac {-4 x \log (5)+x \log (5) \log (x)-4 \log ^2(x)+\log ^3(x)+(x \log (5)-8 \log (x)+7 \log ^2(x)-\log ^3(x)) \log (4 x+e^5 x)}{(-4 x^2 \log (5)+x^2 \log (5) \log (x)-4 x \log ^2(x)+x \log ^3(x)) \log (4 x+e^5 x)} \, dx\)
  3.11.36 \(\int \frac {e^x (54+9 x-9 x^2)+e^{3 x} (-108 x^2-36 x^3+33 x^4+6 x^5-3 x^6)+e^{2 x} (108 x^2+36 x^3-33 x^4-6 x^5+3 x^6)+e^x (-54-72 x+18 x^2+9 x^3) \log (x)}{e^{4 x} (36 x^2+12 x^3-11 x^4-2 x^5+x^6)+e^{3 x} (-72 x^3-24 x^4+22 x^5+4 x^6-2 x^7)+e^{2 x} (36 x^4+12 x^5-11 x^6-2 x^7+x^8)+(e^{2 x} (-36 x-6 x^2+6 x^3)+e^x (36 x^2+6 x^3-6 x^4)) \log (x)+9 \log ^2(x)} \, dx\)
  3.11.37 \(\int (-1+e^{\frac {1}{2} (-3-2 x+3 x^2)} (-1+3 x)) \, dx\)
  3.11.38 \(\int \frac {e^{\frac {-2+x^3+x \log (x)-2 x^2 \log (6+5 x)+x \log ^2(6+5 x)}{x^2}} (24+26 x+5 x^2-4 x^3+5 x^4+(-6 x-5 x^2) \log (x)+10 x^2 \log (6+5 x)+(-6 x-5 x^2) \log ^2(6+5 x))}{6 x^3+5 x^4} \, dx\)
  3.11.39 \(\int \frac {-15-5 e-8 x+e^2 (3+e+2 x)+e^x (-5-5 x+e^2 (1+x))}{-15 x-5 e x-4 x^2+e^x (-5 x+e^2 x)+e^2 (3 x+e x+x^2)} \, dx\)
  3.11.40 \(\int \frac {e^{\frac {12+e^{e^{2 x}-2 e^x \log (\frac {13}{4})+\log ^2(\frac {13}{4})} (3-3 x)-11 x}{-4+e^{e^{2 x}-2 e^x \log (\frac {13}{4})+\log ^2(\frac {13}{4})} (-1+x)+4 x}} (-4+e^{e^{2 x}-2 e^x \log (\frac {13}{4})+\log ^2(\frac {13}{4})} (-1+e^{2 x} (2 x-2 x^2)+e^x (-2 x+2 x^2) \log (\frac {13}{4})))}{16-32 x+16 x^2+e^{2 e^{2 x}-4 e^x \log (\frac {13}{4})+2 \log ^2(\frac {13}{4})} (1-2 x+x^2)+e^{e^{2 x}-2 e^x \log (\frac {13}{4})+\log ^2(\frac {13}{4})} (8-16 x+8 x^2)} \, dx\)
  3.11.41 \(\int \frac {24+224 x+4 x^2+\sqrt [4]{e} (-16+4 x)+(-16 x+44 \sqrt [4]{e} x+48 x^2) \log (x)+(-2 x+2 \sqrt {e} x+4 \sqrt [4]{e} x^2+2 x^3) \log ^2(x)}{144 x+(24 \sqrt [4]{e} x+24 x^2) \log (x)+(\sqrt {e} x+2 \sqrt [4]{e} x^2+x^3) \log ^2(x)} \, dx\)
  3.11.42 \(\int \frac {50 x^5+e^{6-4 x} (3+4 x)}{25 x^4} \, dx\)
  3.11.43 \(\int e^{x+e^{90+10 e^2} x+2 e^{45+5 e^2} x \log (e^{-x} x)+x \log ^2(e^{-x} x)} (1+e^{90+10 e^2}+e^{45+5 e^2} (2-2 x)+(2+2 e^{45+5 e^2}-2 x) \log (e^{-x} x)+\log ^2(e^{-x} x)) \, dx\)
  3.11.44 \(\int \frac {2+2044 x-1920 x^2-48 x^3-32 x^4-x \log (x)}{x} \, dx\)
  3.11.45 \(\int \frac {-x-x^2+e^{25 x^2} (-5+250 x^2)}{x^2} \, dx\)
  3.11.46 \(\int \frac {-1-e}{e} \, dx\)
  3.11.47 \(\int \frac {8 e^{6+2 e^3} x^4-48 e^{6+2 e^3} x^3 \log (x)+8 e^{6+2 e^3} x^4 \log (x) \log (\frac {3}{\log (x)})}{-27 \log (x)+27 x \log (x) \log (\frac {3}{\log (x)})-9 x^2 \log (x) \log ^2(\frac {3}{\log (x)})+x^3 \log (x) \log ^3(\frac {3}{\log (x)})} \, dx\)
  3.11.48 \(\int e \, dx\)
  3.11.49 \(\int \frac {(\frac {x+4 \log (\frac {(-4+4 x) \log (4)}{5 x})}{\log (\frac {(-4+4 x) \log (4)}{5 x})})^{\frac {1}{\log (x^2)}} (-x \log (x^2)+(-x+x^2) \log (x^2) \log (\frac {(-4+4 x) \log (4)}{5 x})+((2 x-2 x^2) \log (\frac {(-4+4 x) \log (4)}{5 x})+(8-8 x) \log ^2(\frac {(-4+4 x) \log (4)}{5 x})) \log (\frac {x+4 \log (\frac {(-4+4 x) \log (4)}{5 x})}{\log (\frac {(-4+4 x) \log (4)}{5 x})}))}{(-x^2+x^3) \log ^2(x^2) \log (\frac {(-4+4 x) \log (4)}{5 x})+(-4 x+4 x^2) \log ^2(x^2) \log ^2(\frac {(-4+4 x) \log (4)}{5 x})} \, dx\)
  3.11.50 \(\int \frac {e^{-\frac {-2 e+x}{x}} (-32 e x^2+32 x^3+e^{2-2 x} (-32 e-32 x^2)+e^{\frac {-2 e+x}{2 x}} (32 e x-32 x^2)+e^{1-x} (-64 e x+32 x^2-32 x^3+e^{\frac {-2 e+x}{2 x}} (32 e+32 x^2)))}{x^2} \, dx\)
  3.11.51 \(\int \frac {e^x (-4-8 x)-12 x+8 x^2+3 x^3+(-4 x-4 e^x x) \log (x)}{4 x} \, dx\)
  3.11.52 \(\int \frac {e^{\frac {x}{\log (e^x-5 x^2)}} (-e^x x+10 x^2+(e^x-5 x^2) \log (e^x-5 x^2))}{e^{\frac {x}{\log (e^x-5 x^2)}} (e^x-5 x^2) \log ^2(e^x-5 x^2)+(-e^{4+x}+5 e^4 x^2) \log ^2(e^x-5 x^2)} \, dx\)
  3.11.53 \(\int \frac {116-78 x+4 x^2}{-3+2 x} \, dx\)
  3.11.54 \(\int \frac {-16+32 x-8 x^2+16 x^3-x^4+2 x^5+e (48 x-12 x^3)}{16 x+8 x^3+x^5} \, dx\)
  3.11.55 \(\int e^{16-6 e^x+20 x} (-20+6 e^x) \, dx\)
  3.11.56 \(\int \frac {-1+6 e^x+e^x \log (\frac {5 e^x}{-e^5+\log (5)})}{5 e^x-x+e^x \log (\frac {5 e^x}{-e^5+\log (5)})} \, dx\)
  3.11.57 \(\int \frac {2-x}{4 x-4 x^2+e^2 (-4+4 x)+(-4+4 x) \log (-1+x)} \, dx\)
  3.11.58 \(\int \frac {-40 x+60 x^2-10 x^4+e (-6+8 x)}{5 x^2-10 x^3+5 x^5+e (x-2 x^2+x^4)} \, dx\)
  3.11.59 \(\int \frac {e^x (3-3 x)}{x^2} \, dx\)
  3.11.60 \(\int \frac {10 x-2 e x-2 x \log (25)}{e+\log (25)} \, dx\)
  3.11.61 \(\int -12 e^{4+12 e^x+x} \log (\frac {4}{3}) \, dx\)
  3.11.62 \(\int \frac {1}{2} e^{-e^{x^2}-2 x} (20 x-14 x^2-8 x^3+2 x^4+e (10-16 x-7 x^2+2 x^3)+e^{x^2} (-20 x^3-4 x^4+2 x^5+e (-20 x^2-4 x^3+2 x^4))) \, dx\)
  3.11.63 \(\int \frac {-30+x^2+\frac {x^2 (-60-2 x^2)}{e^2 (30-x^2)^2}}{-30 x+x^3} \, dx\)
  3.11.64 \(\int e^{9+e^{2 x}+e^x (-6-6 x)+19 x+8 x^2+x^4} (19+2 e^{2 x}+e^x (-12-6 x)+16 x+4 x^3) \, dx\)
  3.11.65 \(\int \frac {-2 x-5 x^4-60 x^6+e^{2 x} (-5 x^2-60 x^4)+e^x (-1-x-10 x^3-120 x^5)+(5 e^{2 x} x^2+10 e^x x^3+5 x^4) \log (\log (5))}{5 e^{2 x} x^2+10 e^x x^3+5 x^4} \, dx\)
  3.11.66 \(\int \frac {20+4 x+(5-6 x+x^2) \log (\frac {-5+x}{(-1+x) (i \pi +\log (3))})}{5-6 x+x^2} \, dx\)
  3.11.67 \(\int e^{e^{23 x^2+5 e^{e^4} x^2+e^x x^2}} (1+e^{23 x^2+5 e^{e^4} x^2+e^x x^2} (46 x^2+10 e^{e^4} x^2+e^x (2 x^2+x^3))) \, dx\)
  3.11.68 \(\int \frac {9+3 \log (4)}{(144+24 x+x^2) \log (2)+(120+10 x) \log (2) \log (4)+25 \log (2) \log ^2(4)} \, dx\)
  3.11.69 \(\int \frac {6 e^{\frac {30+e (10-5 x)-15 x}{\log (4)}} \log (4)+e^{\frac {30+e (10-5 x)-15 x}{\log (4)}} (-45 x-15 e x+3 \log (4)) \log (x^2)}{2 \log (4)} \, dx\)
  3.11.70 \(\int \frac {e^{\frac {(10-5 x) x^2}{-4+x^2 (-8+4 x)}} x^2 (-20+15 x)}{4 x+x^2 (16 x-8 x^2)+x^4 (16 x-16 x^2+4 x^3)} \, dx\)
  3.11.71 \(\int \frac {e^{2-x} (-141+e^x (-48-x)-3 x+(-3-e^x) \log (3+e^x))}{(46+x+\log (3+e^x)) (138+3 x+e^x (46+x)+(3+e^x) \log (3+e^x))} \, dx\)
  3.11.72 \(\int \frac {-2 x^2-2 x \log (x)+(-2 x-4 x^2-2 x \log (x)) \log (25 x)+(2 x^2+2 x \log (x)) \log (25 x) \log (x+\log (x))+(2 x^2+2 x \log (x)) \log (25 x) \log (\log (25 x))}{(-x-3 x^2-3 x^3-x^4+(-1-3 x-3 x^2-x^3) \log (x)) \log (25 x)+(3 x+6 x^2+3 x^3+(3+6 x+3 x^2) \log (x)) \log (25 x) \log (x+\log (x))+(-3 x-3 x^2+(-3-3 x) \log (x)) \log (25 x) \log ^2(x+\log (x))+(x+\log (x)) \log (25 x) \log ^3(x+\log (x))+((3 x+6 x^2+3 x^3+(3+6 x+3 x^2) \log (x)) \log (25 x)+(-6 x-6 x^2+(-6-6 x) \log (x)) \log (25 x) \log (x+\log (x))+(3 x+3 \log (x)) \log (25 x) \log ^2(x+\log (x))) \log (\log (25 x))+((-3 x-3 x^2+(-3-3 x) \log (x)) \log (25 x)+(3 x+3 \log (x)) \log (25 x) \log (x+\log (x))) \log ^2(\log (25 x))+(x+\log (x)) \log (25 x) \log ^3(\log (25 x))} \, dx\)
  3.11.73 \(\int \frac {e^x (3+90 x-15 x^3+5 x^5)+e^x (-12+3 x) \log (x)}{5 x^5} \, dx\)
  3.11.74 \(\int \frac {e^{-4+x^2+4 x^5+4 x^3 \log (2)+x \log ^2(2)+(-4 x^4-2 x^2 \log (2)) \log (-25+\log (x^2))+x^3 \log ^2(-25+\log (x^2))} (-50 x-8 x^3-500 x^4+(-4 x-300 x^2) \log (2)-25 \log ^2(2)+(2 x+20 x^4+12 x^2 \log (2)+\log ^2(2)) \log (x^2)+(4 x^2+400 x^3+100 x \log (2)+(-16 x^3-4 x \log (2)) \log (x^2)) \log (-25+\log (x^2))+(-75 x^2+3 x^2 \log (x^2)) \log ^2(-25+\log (x^2)))}{-25+\log (x^2)} \, dx\)
  3.11.75 \(\int \frac {525+225 x+375 x^2+686 x^3+294 x^4+336 x^5+86 x^6+48 x^7+6 x^8+2 x^9+e^x (343 x^2+147 x^3+168 x^4+43 x^5+24 x^6+3 x^7+x^8)}{343 x^2+147 x^3+168 x^4+43 x^5+24 x^6+3 x^7+x^8} \, dx\)
  3.11.76 \(\int \frac {4+11 x+5 x^2+x^3+(20+55 x+25 x^2+5 x^3) \log (3)+(-4-7 x-2 x^2+(-20-35 x-10 x^2) \log (3)) \log (x)+(1+x+(5+5 x) \log (3)) \log ^2(x)}{12 x^2+10 x^3+2 x^4+(8 x-2 x^2-2 x^3) \log (x)+(-8 x-2 x^2) \log ^2(x)+2 x \log ^3(x)} \, dx\)
  3.11.77 \(\int \frac {e^{\frac {x+\log ^2(-\log (5 x^2))}{x}} (4 \log (-\log (5 x^2))-\log (5 x^2) \log ^2(-\log (5 x^2)))}{x^2 \log (5 x^2)} \, dx\)
  3.11.78 \(\int \frac {-9 x+14 x^2-3 x^3+e^x (-6-2 x+x^2)}{-3 x^2+4 x^3-x^4+e^x (-3 x+x^2)} \, dx\)
  3.11.79 \(\int \frac {-378535936+187392 x^2-1152 x^3+3 x^4+(179306496-27648 x^2+128 x^3) \log (5)+(-31195136+1536 x^2) \log ^2(5)+2359296 \log ^3(5)-65536 \log ^4(5)}{65536 x^2} \, dx\)
  3.11.80 \(\int \frac {(324-162 e^4) \log (4) \log (x)+(162-81 e^4) \log (4) \log ^2(x)}{164025+(4050 x-810 x \log (4)) \log ^2(x)+(25 x^2-10 x^2 \log (4)+x^2 \log ^2(4)) \log ^4(x)} \, dx\)
  3.11.81 \(\int \frac {-24 e^{5 x}+e^{2+e^{2-5 x} x^3} (-24 x^2+40 x^3)}{e^{5 x+2 e^{2-5 x} x^3}+e^{5 x+e^{2-5 x} x^3} (6 x+6 \log (2))+e^{5 x} (9 x^2+18 x \log (2)+9 \log ^2(2))} \, dx\)
  3.11.82 \(\int \frac {-1+e^{1+e^x-x+e^2 (2 x-x^2)} (-x+e^x x+e^2 (2 x-2 x^2))}{e^{2+2 e^x-2 x+2 e^2 (2 x-x^2)} x+x \log ^2(2)-2 x \log (2) \log (x)+x \log ^2(x)+e^{1+e^x-x+e^2 (2 x-x^2)} (2 x \log (2)-2 x \log (x))} \, dx\)
  3.11.83 \(\int \frac {x-x^2+3 x^3+e^x x (1-x+3 x^2) (4-6 x+34 x^2+x^3-3 x^4+e^5 (1-x+8 x^2+3 x^3))}{x-x^2+3 x^3} \, dx\)
  3.11.84 \(\int \frac {-3300 x+(26400 x-6600 x \log (x)) \log (4-\log (x)) \log (\log (4-\log (x)))}{(-576+144 \log (x)) \log (4-\log (x))+(-26400 x^2+6600 x^2 \log (x)) \log (4-\log (x)) \log (\log (4-\log (x)))+(-302500 x^4+75625 x^4 \log (x)) \log (4-\log (x)) \log ^2(\log (4-\log (x)))} \, dx\)
  3.11.85 \(\int \frac {e^{\frac {(-16 x+4 x^2) \log ^2(4)-8 \log ^2(4) \log (\log (4-x))}{-4 x+x^2}} (-8 x \log ^2(4)+(-32+16 x) \log ^2(4) \log (4-x) \log (\log (4-x)))}{(16 x^2-8 x^3+x^4) \log (4-x)} \, dx\)
  3.11.86 \(\int \frac {(3 \log (3)+\log (\frac {4+4 x}{x}))^{500+200 x+20 x^2} (-500-200 x-20 x^2+((600 x+720 x^2+120 x^3) \log (3)+(200 x+240 x^2+40 x^3) \log (\frac {4+4 x}{x})) \log (3 \log (3)+\log (\frac {4+4 x}{x})))}{(3 x+3 x^2) \log (3)+(x+x^2) \log (\frac {4+4 x}{x})} \, dx\)
  3.11.87 \(\int \frac {-3+e^x (-3-e^3)+e^3 (-1+x)+3 x}{x+e^x x} \, dx\)
  3.11.88 \(\int \frac {(-12+3 e^{\frac {x}{3+x^2+x^3}}+2 x) (36+24 x^2+24 x^3+4 x^4+8 x^5+4 x^6+e^{\frac {x}{3+x^2+x^3}} (-9+3 x-6 x^2-7 x^3-3 x^4-2 x^5-x^6))}{(-4+e^{\frac {x}{3+x^2+x^3}}+x) (432-180 x+306 x^2+168 x^3-60 x^4+88 x^5+10 x^6-16 x^7+2 x^8+e^{\frac {2 x}{3+x^2+x^3}} (27+18 x^2+18 x^3+3 x^4+6 x^5+3 x^6)+e^{\frac {x}{3+x^2+x^3}} (-216+45 x-144 x^2-114 x^3+6 x^4-43 x^5-14 x^6+5 x^7))} \, dx\)
  3.11.89 \(\int e^{-x} (e^x (4+4 e^2+e^4)+e^{e^{-x} (-x+e^x (2+x))} (-4 x+4 x^2+e^4 (-x+x^2)+e^2 (-4 x+4 x^2)+e^x (4+4 x+e^4 (1+x)+e^2 (4+4 x)))) \, dx\)
  3.11.90 \(\int \frac {(x \log (x))^{x^2} (x+x \log (x)+2 x \log (x) \log (x \log (x)))}{4 \log (x)} \, dx\)
  3.11.91 \(\int \frac {e^{-8+4 x} (4 x^3-4 x^4)}{e^{-16+8 x}+x^8-2 x^8 \log (3)+x^8 \log ^2(3)+e^{-8+4 x} (2 x^4-2 x^4 \log (3))} \, dx\)
  3.11.92 \(\int \frac {e^{\frac {25 x^2-40 x^3+6 x^4+8 x^5+x^6+(-110 x+278 x^2-90 x^3-70 x^4-8 x^5) \log ^2(x)+(121-418 x+273 x^2+152 x^3+16 x^4) \log ^4(x)}{x^2-2 x^3+x^4+(-2 x+10 x^2-8 x^3) \log ^2(x)+(1-8 x+16 x^2) \log ^4(x)}} (10 x^3-28 x^4+24 x^5-4 x^6-2 x^7+(-120 x+216 x^2-72 x^3-24 x^4) \log (x)+(60 x-210 x^2+282 x^3-222 x^4+66 x^5+24 x^6) \log ^2(x)+(264-720 x+360 x^2+96 x^3) \log ^3(x)+(-132+786 x-984 x^2+618 x^3-336 x^4-96 x^5) \log ^4(x)+(-550+1126 x-456 x^2+544 x^3+128 x^4) \log ^6(x))}{x^3-3 x^4+3 x^5-x^6+(-3 x^2+18 x^3-27 x^4+12 x^5) \log ^2(x)+(3 x-27 x^2+72 x^3-48 x^4) \log ^4(x)+(-1+12 x-48 x^2+64 x^3) \log ^6(x)} \, dx\)
  3.11.93 \(\int e^{158-1000080 x+1562750010 x^2} (2000160+e^{-158+1000080 x-1562750010 x^2}-6251000040 x) \, dx\)
  3.11.94 \(\int -\frac {388129 \log (5)}{32 x^2} \, dx\)
  3.11.95 \(\int 60 e^{-84+60 x} \, dx\)
  3.11.96 \(\int \frac {2-5 x+40 \log ^7(2-5 x)}{2 x-5 x^2+(-2+5 x) \log ^8(2-5 x)} \, dx\)
  3.11.97 \(\int \frac {e^{-x^2} (e^{e^{e^{-x^2} x}} (e^{x^2} (-15+12 x+3 x^2)+e^{e^{-x^2} x} (-15 x+12 x^2+33 x^3-24 x^4-6 x^5))+(\frac {-5+4 x+x^2}{x})^{5 x/3} (e^{x^2} (25+5 x^2)+e^{x^2} (-25+20 x+5 x^2) \log (\frac {-5+4 x+x^2}{x})))}{-15+12 x+3 x^2} \, dx\)
  3.11.98 \(\int \frac {e^x (-12+12 x+512 x^3-128 x^4)+e^{\frac {1}{4} (20+3 x)} (-12+9 x+512 x^3-96 x^4)}{8 e^{2 x}+8 e^{\frac {1}{2} (20+3 x)}+16 e^{x+\frac {1}{4} (20+3 x)}} \, dx\)
  3.11.99 \(\int \frac {(-16+32 x-16 x^2+e^x (-26-24 x+25 x^2)) \log (x)+e^x (-1-x+x^2) \log ^2(x)+(-8+8 x) \log (\log (x))-4 \log (x) \log ^2(\log (x))}{(8-16 x+8 x^2) \log (x)} \, dx\)
  3.11.100 \(\int \frac {72-18 x-10 x^3+3 x^4+(-72+4 x^2+12 x^3) \log (x)}{-4 x^3+x^4+4 x^3 \log (x)} \, dx\)