3.82 Integrals 8101 to 8200

  3.82.1 \(\int \frac {e^{-x^4} (8 e^{e^{\frac {2 e^{-x^4}}{\log (5)}}+\frac {2 e^{-x^4}}{\log (5)}} x^3-e^{x^4} \log (5))}{2 \log (5)} \, dx\)
  3.82.2 \(\int \frac {e^{2 x} (5-10 x+40 \log ^2(5))+e^{2 x+2 x^2} (1-2 x+4 x^2+(8-16 x) \log ^2(5))}{25 x^2-200 x \log ^2(5)+400 \log ^4(5)+e^{4 x^2} (x^2-8 x \log ^2(5)+16 \log ^4(5))+e^{2 x^2} (10 x^2-80 x \log ^2(5)+160 \log ^4(5))} \, dx\)
  3.82.3 \(\int \frac {8+2 e^2}{(5+6 x+x^2+e^2 (1+x)) \log (\frac {25+e^4+10 x+x^2+e^2 (10+2 x)}{1+2 x+x^2}) \log (\log (\frac {25+e^4+10 x+x^2+e^2 (10+2 x)}{1+2 x+x^2}))} \, dx\)
  3.82.4 \(\int \frac {1080+436 x+140 x^2+40 x^3+4 x^4+(436+88 x+40 x^2+8 x^3) \log (4)+(44+4 x^2) \log ^2(4)+(20+8 x+4 \log (4)) \log (x)}{75 x^2+30 x^3+3 x^4+(30 x^2+6 x^3) \log (4)+3 x^2 \log ^2(4)} \, dx\)
  3.82.5 \(\int \frac {4 x^4-x^6-90 x^7+(5 x^2-2 x^4-180 x^5) \log (4)+(3-x^2-90 x^3) \log ^2(4)}{x^6+2 x^4 \log (4)+x^2 \log ^2(4)} \, dx\)
  3.82.6 \(\int \frac {e^2 (-6 x+24 x^2)+e^4 (9 x^2-48 x^3) \log (x)+(6-24 x+e^2 (-12 x+72 x^2) \log (x)) \log (\log (x))+(3-24 x) \log (x) \log ^2(\log (x))}{64 \log (x)} \, dx\)
  3.82.7 \(\int e^{-\frac {1}{2}+\frac {4 e^{4 x}+8 e^{3 x} x^2+12 e^{2 x} x^4+8 e^x x^6+2 x^8+e^{2 x} (4 e^{2 x}+8 e^x x^2+4 x^4)}{\sqrt {e}}} (16 e^{4 x}+16 x^7+e^{3 x} (16 x+24 x^2)+e^{2 x} (48 x^3+24 x^4)+e^x (48 x^5+8 x^6)+e^{2 x} (16 e^{2 x}+16 x^3+8 x^4+e^x (16 x+24 x^2))) \, dx\)
  3.82.8 \(\int \frac {e^{-2 x} (-45 x+45 x^2-9 x^3) \log (3)}{-1000+600 x-120 x^2+8 x^3} \, dx\)
  3.82.9 \(\int \frac {-15 e^2+e^{\frac {2 (6 e^2 x+x^2-3 e^2 x \log (5))}{3 e^2}} (-60 e^2-20 x+30 e^2 \log (5))}{3 e^{2+\frac {4 (6 e^2 x+x^2-3 e^2 x \log (5))}{3 e^2}}+e^{2+\frac {2 (6 e^2 x+x^2-3 e^2 x \log (5))}{3 e^2}} (-6+6 x)+e^2 (3-6 x+3 x^2)} \, dx\)
  3.82.10 \(\int \frac {-4+2 e^{x-x \log (2)}+4 x+4 e^x \log (2)-4 x \log (2)}{10 e^x-10 x+5 e^{x-x \log (2)} x} \, dx\)
  3.82.11 \(\int -15 e^{\frac {1}{5} (198-75 x)} \, dx\)
  3.82.12 \(\int \frac {-e^{4+4 x}+12 x^2-x^4+e^{2+2 x} (12-6 x-16 x^2)}{e^{4+4 x}-2 e^{2+2 x} x^2+x^4} \, dx\)
  3.82.13 \(\int \frac {e^{\frac {2 x^2+4 x^3+2 x^4+4 x \log (4)+(2 x+4 x^2+2 x^3) \log (x)}{x+2 x^2+x^3+(1+2 x+x^2) \log (x)}} (2 x^2+6 x^3+6 x^4+2 x^5+(-4-4 x-8 x^2) \log (4)+(4 x+12 x^2+12 x^3+4 x^4+(4-4 x) \log (4)) \log (x)+(2+6 x+6 x^2+2 x^3) \log ^2(x))}{x^2+3 x^3+3 x^4+x^5+(2 x+6 x^2+6 x^3+2 x^4) \log (x)+(1+3 x+3 x^2+x^3) \log ^2(x)} \, dx\)
  3.82.14 \(\int \frac {e^{-29+e^x} (-1+e^x x \log (3 x))}{x \log ^2(3 x)} \, dx\)
  3.82.15 \(\int (-1-e^{2-x}) \, dx\)
  3.82.16 \(\int e^{-\log ^2(25 x)} (e^x (-2 x+29 x^2+10 x^3)+e^x (2 x-20 x^2) \log (25 x)) \, dx\)
  3.82.17 \(\int \frac {(9 x^3+24 x^4+16 x^5) \log (x)+(-1-4 x-4 x^2+(-3 x-8 x^2-8 x^3) \log (x)) \log (\log (4))+(6 x^2+20 x^3+16 x^4) \log (x) \log (\log (x))+(x+4 x^2+4 x^3) \log (x) \log ^2(\log (x))}{(9 x^3+24 x^4+16 x^5) \log (x)+(6 x^2+20 x^3+16 x^4) \log (x) \log (\log (x))+(x+4 x^2+4 x^3) \log (x) \log ^2(\log (x))} \, dx\)
  3.82.18 \(\int \frac {(2560-512 x) \log (x)+(-1280+256 x+(-1280-256 x) \log (x)) \log (x^2)+(-250 x+150 x^2-30 x^3+2 x^4) \log ^2(x^2)}{(-125+75 x-15 x^2+x^3) \log ^2(x^2)} \, dx\)
  3.82.19 \(\int \frac {e^{1+2 x} (1+x)+(e^{2 x} (e (22 x+2 x^2)+2 x \log (5))+2 e^{1+2 x} x \log (x)) \log (e (11+x)+\log (5)+e \log (x))}{e (11 x+x^2)+x \log (5)+e x \log (x)} \, dx\)
  3.82.20 \(\int \frac {1}{625} (625-12 e^{\frac {2 x^6}{625}} x^5) \, dx\)
  3.82.21 \(\int \frac {e^4 (-45+10 x^3)}{18 x^2} \, dx\)
  3.82.22 \(\int \frac {256 x^3-12288 x^4+e^{4 e^x+4 x} (-48 x^4+64 x^5+64 e^x x^5)+e^{3 e^x+3 x} (-768 x^4+768 x^5+768 e^x x^5)+e^{2 e^x+2 x} (-4608 x^4+3072 x^5+3072 e^x x^5)+e^{e^x+x} (-12288 x^4+4096 x^5+4096 e^x x^5)}{16-2048 x+65536 x^2+3584 e^{5 e^x+5 x} x^2+448 e^{6 e^x+6 x} x^2+32 e^{7 e^x+7 x} x^2+e^{8 e^x+8 x} x^2+e^{4 e^x+4 x} (-8 x+17920 x^2)+e^{3 e^x+3 x} (-128 x+57344 x^2)+e^{2 e^x+2 x} (-768 x+114688 x^2)+e^{e^x+x} (-2048 x+131072 x^2)} \, dx\)
  3.82.23 \(\int \frac {e^{4 x} (4-16 x)-10 x}{5 x^2} \, dx\)
  3.82.24 \(\int \frac {-11025-2940 x+1274 x^2+196 x^3-49 x^4+e^5 (63+42 x+7 x^2)+e^{2 x} (-2500 x^2+1000 x^3-100 x^4)+e^x (-10500 x+700 x^2+980 x^3-140 x^4+e^5 (-150-90 x-10 x^2+10 x^3))}{11025+2940 x-1274 x^2-196 x^3+49 x^4+e^{2 x} (2500 x^2-1000 x^3+100 x^4)+e^x (10500 x-700 x^2-980 x^3+140 x^4)} \, dx\)
  3.82.25 \(\int \frac {1}{5} (-7296+e^4 (120-40 x)+3872 x-720 x^2+80 x^3) \, dx\)
  3.82.26 \(\int \frac {-32 x^4 \log (\frac {1}{3} x \log (3))-32 x^4 \log ^2(\frac {1}{3} x \log (3))+(-1792 x^3+256 e^2 x^3) \log ^3(\frac {1}{3} x \log (3))}{-x^3+(-84 x^2+12 e^2 x^2) \log (\frac {1}{3} x \log (3))+(-2352 x+672 e^2 x-48 e^4 x) \log ^2(\frac {1}{3} x \log (3))+(-21952+9408 e^2-1344 e^4+64 e^6) \log ^3(\frac {1}{3} x \log (3))} \, dx\)
  3.82.27 \(\int (-1+e^{196+28 x+x^2} (-28-2 x)+16 x+4 x^3+e^{2+x} (-16 x-8 x^2-8 x^3-2 x^4)+e^{4+2 x} (4 x^3+2 x^4)) \, dx\)
  3.82.28 \(\int \frac {512-100 x+(2304+50 x) \log (x)+4608 \log ^2(x)+5376 \log ^3(x)+4032 \log ^4(x)+2016 \log ^5(x)+672 \log ^6(x)+144 \log ^7(x)+18 \log ^8(x)+\log ^9(x)}{512+2304 \log (x)+4608 \log ^2(x)+5376 \log ^3(x)+4032 \log ^4(x)+2016 \log ^5(x)+672 \log ^6(x)+144 \log ^7(x)+18 \log ^8(x)+\log ^9(x)} \, dx\)
  3.82.29 \(\int \frac {256-127 x+16 x^2+(-128 x+32 x^2) \log (2 x)}{x^2+(256 x-128 x^2+16 x^3) \log (2 x)} \, dx\)
  3.82.30 \(\int \frac {2 \log (x)+(3+x-x \log (x)) \log (x^2)+(-14 x-4 x^2) \log ^2(x^2)-3 x \log ^3(x^2)+(-\log (x^2)+4 x \log ^2(x^2)+x \log ^3(x^2)) \log (\log (x^2))}{((3 x+x^2) \log (x)+5 x \log ^2(x)) \log (x^2)+(-3 x^2-x^3-10 x^2 \log (x)) \log ^3(x^2)+5 x^3 \log ^5(x^2)+(-x \log (x) \log (x^2)+x^2 \log ^3(x^2)) \log (\log (x^2))} \, dx\)
  3.82.31 \(\int \frac {-2 x+x^3+e^{x^2} (2-x^2)+(2 x+x^3+e^{x^2} (-4 x^2-2 x^4)) \log (\frac {2+x^2}{x})}{2 x+x^3} \, dx\)
  3.82.32 \(\int \frac {-1-6 x-5 x^2+7 x^3+6 x^4}{x+2 x^2+x^3} \, dx\)
  3.82.33 \(\int \frac {-4+100 e^{2/5}+12 x^2-2 x^3+\sqrt [5]{e} (-80 x+10 x^2)+e^x (-1+x+2 x^2-2 x^3-x^4+x^5+e^{4/5} (-625+625 x)+e^{3/5} (500 x-500 x^2)+e^{2/5} (50-50 x-150 x^2+150 x^3)+\sqrt [5]{e} (-20 x+20 x^2+20 x^3-20 x^4))}{x^2+625 e^{4/5} x^2-500 e^{3/5} x^3-2 x^4+x^6+e^{2/5} (-50 x^2+150 x^4)+\sqrt [5]{e} (20 x^3-20 x^5)} \, dx\)
  3.82.34 \(\int \frac {(e^{2 x} (-24+8 x) \log ^2(3)+e^x (96 x-32 x^2+48 x^4-16 x^5) \log ^2(3)+(-96 x^2+32 x^3-96 x^5+32 x^6-24 x^8+8 x^9) \log ^2(3)) \log (x)+(e^{2 x} (-32 x+8 x^2) \log ^2(3)+e^x (48 x+64 x^2-16 x^3+96 x^4+8 x^5-8 x^6) \log ^2(3)+(-96 x^2-240 x^5+48 x^6-96 x^8+24 x^9) \log ^2(3)) \log ^2(x)}{-27 x+27 x^2-9 x^3+x^4} \, dx\)
  3.82.35 \(\int \frac {20 x^9 \log ^8(5)}{9 e^{24}} \, dx\)
  3.82.36 \(\int \frac {e^{\frac {256+768 x+320 x^2-384 x^3+64 x^4}{x^2}} (-512-768 x-384 x^3+128 x^4)}{x^3} \, dx\)
  3.82.37 \(\int \frac {-5+2 x+(3+2 x) (i \pi +\log (2))}{i \pi +\log (2)} \, dx\)
  3.82.38 \(\int \frac {21+7 x^2-28 x (3+x^2)^2}{9+3 x^2} \, dx\)
  3.82.39 \(\int \frac {e^{-x} (-12-36 x-12 x^2-3 e^5 x \log (3)-3 e^5 x \log (4)+12 x \log (x))}{4 x} \, dx\)
  3.82.40 \(\int \frac {e^5 (45 x-92 x^2-14 x^3+40 x^4+x^5-4 x^6)+(e^5 (-145 x+100 x^2+54 x^3-40 x^4-5 x^5+4 x^6)+e^5 (-145+100 x+54 x^2-40 x^3-5 x^4+4 x^5) \log (\frac {-29+20 x+5 x^2-4 x^3}{-5+x^2})) \log (x+\log (\frac {-29+20 x+5 x^2-4 x^3}{-5+x^2}))}{-145 x^3+100 x^4+54 x^5-40 x^6-5 x^7+4 x^8+(-145 x^2+100 x^3+54 x^4-40 x^5-5 x^6+4 x^7) \log (\frac {-29+20 x+5 x^2-4 x^3}{-5+x^2})} \, dx\)
  3.82.41 \(\int \frac {-20000 x^2-2500 x^3+e (800+96 x)+e^{3 x} (-640 x^2-80 x^3)+e^{4 x} (-32 x^2-4 x^3)+e^{2 x} (-4800 x^2-600 x^3+e (32+68 x+8 x^2))+e^x (-16000 x^2-2000 x^3+e (320+360 x+40 x^2))+(e (-32-4 x)+1600 x^2+200 x^3+e^{2 x} (64 x^2+8 x^3)+e^x (640 x^2+80 x^3)) \log (8+x)+(-32 x^2-4 x^3) \log ^2(8+x)}{5000 x^4+625 x^5+e^2 (8+x)+e (400 x^2+50 x^3)+e^{4 x} (8 x^4+x^5)+e^{3 x} (160 x^4+20 x^5)+e^{2 x} (1200 x^4+150 x^5+e (16 x^2+2 x^3))+e^x (4000 x^4+500 x^5+e (160 x^2+20 x^3))+(-400 x^4-50 x^5+e (-16 x^2-2 x^3)+e^x (-160 x^4-20 x^5)+e^{2 x} (-16 x^4-2 x^5)) \log (8+x)+(8 x^4+x^5) \log ^2(8+x)} \, dx\)
  3.82.42 \(\int \frac {1}{324} (100 x^4 \log (4 x^2)+125 x^4 \log ^2(4 x^2)) \, dx\)
  3.82.43 \(\int \frac {-192 x^6-96 x^7+e^5 (-192 x^3-240 x^4-72 x^5-48 x^6-24 x^7)+(-96 x^6+e^5 (-192 x^3-120 x^4-24 x^6)) \log (3)-48 e^5 x^3 \log ^2(3)+e^{x/4} (80 x^6+48 x^7+4 x^8+e^5 (64 x^3+84 x^4+28 x^5+21 x^6+12 x^7+x^8)+(48 x^6+8 x^7+e^5 (64 x^3+44 x^4+2 x^5+12 x^6+2 x^7)) \log (3)+(4 x^6+e^5 (16 x^3+x^4+x^6)) \log ^2(3))}{256 x^6+e^{15} (4+12 x^2+12 x^4+4 x^6)+e^{10} (48 x^2+96 x^4+48 x^6)+e^5 (192 x^4+192 x^6)} \, dx\)
  3.82.44 \(\int \frac {45 e^5+x^2+(-45 e^5+2 x^2) \log (2)+x^2 \log ^2(2)+(90 e^5-4 x^2-4 x^2 \log (2)) \log (x)+4 x^2 \log ^2(x)}{9 x^2+18 x^2 \log (2)+9 x^2 \log ^2(2)+(-36 x^2-36 x^2 \log (2)) \log (x)+36 x^2 \log ^2(x)} \, dx\)
  3.82.45 \(\int \frac {-20+8 x+19 x^2-9 x^3+(-8 x-38 x^2+27 x^3) \log (x)}{x \log ^2(x)} \, dx\)
  3.82.46 \(\int \frac {-3 x-\log (4)+3 x \log (3 x \log (3))+(2 x^2-3 x^3) \log ^2(3 x \log (3))}{x \log ^2(3 x \log (3))} \, dx\)
  3.82.47 \(\int \frac {2 e^{5 x^6} x-10 e^{4 x^6} x^2-242 x^6+220 e^2 x^6-50 e^4 x^6+e^{3 x^6} (100 x^3-240 x^9+e^2 (-40 x^3+120 x^9))+e^{2 x^6} (-220 x^4+480 x^{10}+e^2 (100 x^4-240 x^{10}))+e^{x^6} (770 x^5-2640 x^{11}+e^4 (150 x^5-600 x^{11})+e^2 (-680 x^5+2520 x^{11}))}{e^{5 x^6}-5 e^{4 x^6} x+10 e^{3 x^6} x^2-10 e^{2 x^6} x^3+5 e^{x^6} x^4-x^5} \, dx\)
  3.82.48 \(\int \frac {3+7 x+11 x^2+15 x^3+7 x^4+x^5+e^8 (-3-5 x-2 x^2)+(-3-5 x-2 x^2) \log (x+x^2)}{9 x^2+15 x^3+7 x^4+x^5} \, dx\)
  3.82.49 \(\int \frac {1}{45} e^{-4/x} (e^{4/x} (1+2 x)-2 x^2 \log (x)+(-4 x-3 x^2) \log ^2(x)) \, dx\)
  3.82.50 \(\int -\frac {5 e^{390622+\frac {x}{4}}}{4+20 e^{390622+\frac {x}{4}}} \, dx\)
  3.82.51 \(\int \frac {9 x-3 x^4+(3-x^3) \log (16)+(-9+3 x^3) \log (3-x^3)+(-9 x-9 x^3+3 x^4) \log (x) \log (\frac {1}{\log (x)})}{(-9 x+3 x^4) \log (x)} \, dx\)
  3.82.52 \(\int \frac {e^{\frac {45 x-8 x^3+(-24+4 x^2) \log (4)}{-24+4 x^2}} (126-270 x-51 x^2+99 x^3+4 x^4-8 x^5)}{288-576 x+192 x^2+192 x^3-88 x^4-16 x^5+8 x^6} \, dx\)
  3.82.53 \(\int \frac {e^{-\frac {2}{e^4}}}{x \log (x)} \, dx\)
  3.82.54 \(\int \frac {e^{2-2 x+\frac {1-x^2}{x}} (1+2 x+3 x^2)+e^{\frac {1-x^2}{x}} (-12 x^2-12 x^4+e^2 (-3 x^2-3 x^4))}{x^4} \, dx\)
  3.82.55 \(\int \frac {e^5-\log (10 \log (4))}{5 \log (6)} \, dx\)
  3.82.56 \(\int \frac {-64 e^6+224 e^4 x-243 e^2 x^2+81 x^3+e^{2 e^x} (-4 e^6+12 e^4 x-12 e^2 x^2+4 x^3+e^x (-8 e^6 x+24 e^4 x^2-24 e^2 x^3+8 x^4))+e^{e^x} (-32 e^6+104 e^4 x-108 e^2 x^2+36 x^3+e^x (-32 e^6 x+100 e^4 x^2-104 e^2 x^3+36 x^4))}{4 e^6-12 e^4 x+12 e^2 x^2-4 x^3} \, dx\)
  3.82.57 \(\int \frac {e^{-x} (4+4 x-2 x^2+9 e^x x^2)}{45 x^2} \, dx\)
  3.82.58 \(\int \frac {3 x+4 e^x (-20 x+5 x^2)+(-12+4 x) \log (2)+e^x (16 x-4 x^2) \log (2)-4 x \log (2) \log (x)}{400 e^{2 x} x+x^3+8 e^x x^2 \log (2)+16 e^{2 x} x \log ^2(2)+4 e^x (-10 x^2-40 e^x x \log (2))+(160 e^x x \log (2)-8 x^2 \log (2)-32 e^x x \log ^2(2)) \log (x)+16 x \log ^2(2) \log ^2(x)} \, dx\)
  3.82.59 \(\int \frac {45-52 x+19 x^2+38 x^3-8 x^4+(-9+39 x+12 x^2-12 x^3) \log (x)+(-6 x-4 x^2) \log ^2(x)}{2 x} \, dx\)
  3.82.60 \(\int \frac {-144+24 x-72 x^2-72 x^3+(72-12 x+36 x^2) \log (4)+(-144-96 x+48 x^2+(72-24 x) \log (4)) \log (\frac {2+2 x-\log (4)}{x})}{-18 x^2-6 x^3+10 x^4-2 x^5+(9 x^2-6 x^3+x^4) \log (4)+(-12 x-8 x^2+4 x^3+(6 x-2 x^2) \log (4)) \log (\frac {2+2 x-\log (4)}{x})+(-2-2 x+\log (4)) \log ^2(\frac {2+2 x-\log (4)}{x})} \, dx\)
  3.82.61 \(\int \frac {-57 x^2+18 x^3-3 x^4+e (36-24 x+4 x^2)+e^{1+x} (18-30 x+14 x^2-2 x^3)}{18 x^2-12 x^3+2 x^4} \, dx\)
  3.82.62 \(\int \frac {144 x+12 x^2+4 e^2 x^2+(-12 x^2-4 e^2 x^2) \log (x)}{324+(-108 x-36 e^2 x) \log (x)+(9 x^2+6 e^2 x^2+e^4 x^2) \log ^2(x)} \, dx\)
  3.82.63 \(\int \frac {16777216+16809984 x+7364624 x^2+1842184 x^3+287745 x^4+28744 x^5+1794 x^6+64 x^7+x^8+(-33554432-16809984 x+1842184 x^3+575490 x^4+86232 x^5+7176 x^6+320 x^7+6 x^8) \log (x)}{x^3} \, dx\)
  3.82.64 \(\int \frac {-15-5 x^2-10 x^3+(3 x+4 x^2-x^3-x^4) \log ^2(\frac {-3-4 x+x^2+x^3}{x})}{(-3 x-4 x^2+x^3+x^4) \log ^2(\frac {-3-4 x+x^2+x^3}{x})} \, dx\)
  3.82.65 \(\int \frac {1}{2} (2 e^{4/3} x+3 x^2) \, dx\)
  3.82.66 \(\int \frac {e^{5+x} (4-4 \log (x-\log (x))) (5-6 x+x^3+(4 x^2-3 x^3-x^4+(-4 x+3 x^2+x^3) \log (x)) \log (x-\log (x))+(-4 x^2+3 x^3+x^4+(4 x-3 x^2-x^3) \log (x)) \log ^2(x-\log (x)))}{\log (x-\log (x)) ((x^2-x \log (x)) \log (x-\log (x))+(-x^2+x \log (x)) \log ^2(x-\log (x)))} \, dx\)
  3.82.67 \(\int \frac {-1-4 x-64 e^{2 x+\frac {8 e^{2 x}}{2+4 x}} x-4 x^2}{1+4 x+4 x^2} \, dx\)
  3.82.68 \(\int \frac {(-6 x+3 \log (4)) \log (\frac {x}{2})+(-2 x^2+x \log (4)) \log ^2(\frac {x}{2})+(3 x-3 \log (4)+(-x^2+x \log (4)) \log ^2(\frac {x}{2})) \log (-x^2+x \log (4))}{(-x^2+x \log (4)) \log ^2(\frac {x}{2})} \, dx\)
  3.82.69 \(\int \frac {e^{-e^{\frac {-4-x+6 x^2-5 x^3}{x}}} (-x+e^{e^{\frac {-4-x+6 x^2-5 x^3}{x}}} x+e^{\frac {-4-x+6 x^2-5 x^3}{x}} (4+6 x^2-10 x^3))}{x} \, dx\)
  3.82.70 \(\int \frac {e^{-2/x} (x+x^2+e^{\frac {1}{x}} (6+6 x))}{18 x} \, dx\)
  3.82.71 \(\int \frac {e^4 (1+2592 x-864 x^2+64 x^3)+e^2 (576 x-96 x^2) \log (5)+32 x \log ^2(5)}{e^4} \, dx\)
  3.82.72 \(\int \frac {e^{5-x} (80+52 x+12 x^2)}{x^3} \, dx\)
  3.82.73 \(\int \frac {(-x-16 e x^2-64 x^4) \log (x)+(-e^2-x-8 e x^2-16 x^4+(e^2+x+8 e x^2+16 x^4) \log (x)) \log (e^2+x+8 e x^2+16 x^4)+(e^2+x+8 e x^2+16 x^4+(-e^2-x-8 e x^2-16 x^4) \log (x)+(e^2+x+8 e x^2+16 x^4) \log ^2(x)) \log ^2(e^2+x+8 e x^2+16 x^4)}{(e^2+x+8 e x^2+16 x^4) \log ^2(x) \log ^2(e^2+x+8 e x^2+16 x^4)} \, dx\)
  3.82.74 \(\int \frac {1}{4} e^{e^x-x} (-3 x^2+2 x^3+(-9 x^2+11 x^3-2 x^4+e^x (-3 x^3+2 x^4)) \log (x)) \, dx\)
  3.82.75 \(\int \frac {-250 x-3115 x^2-248 x^3-5 x^4+3^{3 x} (-625 x^2-50 x^3-x^4+(1875 x^3+150 x^4+3 x^5) \log (3))}{25+1240 x+15426 x^2+1240 x^3+25 x^4+3^{6 x} (625 x^2+50 x^3+x^4)+3^{3 x} (250 x+6210 x^2+498 x^3+10 x^4)} \, dx\)
  3.82.76 \(\int e^{x^2+e^{\frac {1}{2} (5+e^{3+e^x})} x^2-2 x^3+x^4+e^{\frac {1}{4} (5+e^{3+e^x})} (-2 x^2+2 x^3)} (4 x-12 x^2+8 x^3+e^{\frac {1}{2} (5+e^{3+e^x})} (4 x+e^{3+e^x+x} x^2)+e^{\frac {1}{4} (5+e^{3+e^x})} (-8 x+12 x^2+e^{3+e^x+x} (-x^2+x^3))) \, dx\)
  3.82.77 \(\int \frac {6-7 x+x^2+(10-12 x+2 x^2) \log (x)}{-5+x} \, dx\)
  3.82.78 \(\int \frac {-3+e^{25+10 x+x^2+16 e^{2 x} x^2+e^x (40 x+8 x^2)} (-1+10 x+2 x^2+e^x (40 x+56 x^2+8 x^3)+e^{2 x} (32 x^2+32 x^3))}{9+6 e^{25+10 x+x^2+16 e^{2 x} x^2+e^x (40 x+8 x^2)}+e^{50+20 x+2 x^2+32 e^{2 x} x^2+2 e^x (40 x+8 x^2)}} \, dx\)
  3.82.79 \(\int \frac {e^{\frac {1+e^x-x-2 x^2+(-1+2 x) \log (1+x)}{-1+2 x}} (1-3 x-x^2+8 x^3-4 x^4+e^x (-3 x-x^2+2 x^3))}{1-3 x+4 x^3} \, dx\)
  3.82.80 \(\int -\frac {4}{(2 x+\log ^2(2)) \log ^2(2 x+\log ^2(2))} \, dx\)
  3.82.81 \(\int \frac {-9 x+6 x^2-x^3+(6 x-2 x^2) \log (\frac {4}{x^3})-x \log ^2(\frac {4}{x^3})+e^{\frac {e^{9+12 x+4 x^2}}{-3+x+\log (\frac {4}{x^3})}} (e^{9+12 x+4 x^2} (3-37 x-12 x^2+8 x^3)+e^{9+12 x+4 x^2} (12 x+8 x^2) \log (\frac {4}{x^3}))}{9 x-6 x^2+x^3+(-6 x+2 x^2) \log (\frac {4}{x^3})+x \log ^2(\frac {4}{x^3})} \, dx\)
  3.82.82 \(\int \frac {1+e^{260+85 x+5 x^2} (85 x+10 x^2)}{x} \, dx\)
  3.82.83 \(\int \frac {18 e^{2 e^{-2+x}+x}+8 x^2+e^{e^{-2+x}} (24-24 e^{-2+x} x+e^x (-60 x+12 e^4 x-12 x^2))+e^x (50 x^2+2 e^8 x^2+20 x^3+2 x^4+e^4 (-20 x^2-4 x^3))}{9 e^{2 e^{-2+x}+x}-20 x^2+4 e^4 x^2-4 x^3+e^{e^{-2+x}} (12 x+e^x (-30 x+6 e^4 x-6 x^2))+e^x (25 x^2+e^8 x^2+10 x^3+x^4+e^4 (-10 x^2-2 x^3))} \, dx\)
  3.82.84 \(\int \frac {-2 e^8+2 x^4}{e^{12}+x^3-3 x^4+3 x^5-x^6+e^8 (3 x-3 x^2)+e^4 (3 x^2-6 x^3+3 x^4)} \, dx\)
  3.82.85 \(\int \frac {-x-4 x^2+2 e x^2-2 x^3+(2-e+x) \log (-2+e-x)}{-2 x^2+e x^2-x^3} \, dx\)
  3.82.86 \(\int \frac {-2+e^{3+x+2 x^2+x^4-x^3 \log (x)} (2+8 x-2 x^2+8 x^3-6 x^2 \log (x))}{e^{6+2 x+4 x^2+2 x^4-2 x^3 \log (x)}-2 e^{3+x+2 x^2+x^4-x^3 \log (x)} x+x^2} \, dx\)
  3.82.87 \(\int \frac {e^{-e^{4 x^2+4 x \log (-x+\log (3))}-x} (-x+x^2+(1-x) \log (3)+e^{4 x^2+4 x \log (-x+\log (3))} (4 x^2+8 x^3-8 x^2 \log (3)+(4 x^2-4 x \log (3)) \log (-x+\log (3))))}{-x+\log (3)} \, dx\)
  3.82.88 \(\int \frac {e^{\sqrt [338]{e}-x+2 \sqrt [676]{e} \log (\frac {4-5 x+x^2}{x})+\log ^2(\frac {4-5 x+x^2}{x})} (-4 x+5 x^2-x^3+\sqrt [676]{e} (-8+2 x^2)+(-8+2 x^2) \log (\frac {4-5 x+x^2}{x}))}{4 x-5 x^2+x^3} \, dx\)
  3.82.89 \(\int \frac {-200+e^x (-8-2 x)-144 x+8 x^2+(8+8 x) \log (2)+(52 x+2 e^x x) \log (e^{2 x} x^2)+18 x \log ^2(e^{2 x} x^2)+2 x \log ^3(e^{2 x} x^2)}{27 x+27 x \log (e^{2 x} x^2)+9 x \log ^2(e^{2 x} x^2)+x \log ^3(e^{2 x} x^2)} \, dx\)
  3.82.90 \(\int \frac {e^x (-8 x^3+4 x^4+2 x^5)}{27-54 x+27 x^2} \, dx\)
  3.82.91 \(\int \frac {e^x (-5-5 x)+15 x^2 \log (5)+e^{5-3 x+x^2} (e^x (-10+10 x)+(-10 x+15 x^2-10 x^3) \log (5))}{e^{10} \log (5)} \, dx\)
  3.82.92 \(\int \frac {4+100 x^2-\log (\frac {1}{5} e^{50 x^2} x^4)}{4 x^2} \, dx\)
  3.82.93 \(\int \frac {-6+6 x+24 x^2+e^{-4+e^x} (2-2 x-2 e^x x-8 x^2)}{9 e^{x+2 x^2}-6 e^{-4+e^x+x+2 x^2}+e^{-8+2 e^x+x+2 x^2}} \, dx\)
  3.82.94 \(\int \frac {(-2 x^2+e^2 (250 x-250 x^2+2 x^3-2 x^4+e (50 x-50 x^2))) \log (x)+(e^2 (125-250 x+126 x^2-2 x^3+x^4+e (25-50 x+25 x^2))+(125+25 e+x^2) \log (\frac {1}{25} (125+25 e+x^2))) \log (e^2 (1-2 x+x^2)+\log (\frac {1}{25} (125+25 e+x^2)))}{(e^2 (125 x-250 x^2+126 x^3-2 x^4+x^5+e (25 x-50 x^2+25 x^3))+(125 x+25 e x+x^3) \log (\frac {1}{25} (125+25 e+x^2))) \log ^2(e^2 (1-2 x+x^2)+\log (\frac {1}{25} (125+25 e+x^2)))} \, dx\)
  3.82.95 \(\int \frac {-12+e^x (-3-3 x-x^2)+(e^{3 x} (6 x+2 x^2)+e^{2 x} (24 x+8 x^2)) \log (\frac {16+4 e^x}{3+x})+(e^{3 x} (6 x+2 x^2)+e^{2 x} (24 x+8 x^2)) \log (\frac {x}{\log (3)})}{(12 x+4 x^2+e^x (3 x+x^2)) \log (\frac {16+4 e^x}{3+x})+(12 x+4 x^2+e^x (3 x+x^2)) \log (\frac {x}{\log (3)})} \, dx\)
  3.82.96 \(\int \frac {64-28 x+8 x^2-x^3+(-16+8 x-x^2) \log (2)+(16-8 x+x^2) \log (4-x)}{-64 x+32 x^2-4 x^3+(16 x-4 x^2) \log (2)+(-16 x+4 x^2) \log (4-x)} \, dx\)
  3.82.97 \(\int \frac {2+e^x x+\log (\log (2))+((-6+e^x (-2 x+x^2)) \log (x)-3 \log (x) \log (\log (2))) \log (\log (x))}{x^4 \log (x)} \, dx\)
  3.82.98 \(\int \frac {-120+120 \log (\frac {2}{x})+e^{e^x-x} (-12 x+12 x^2-12 e^x x^2) \log (\frac {2}{x})}{x \log (\frac {2}{x})} \, dx\)
  3.82.99 \(\int \frac {1+2 x+9 x^2+(-x-3 x^2+5 x^3+7 x^4) \log ^2(\frac {-x-x^2}{-1-2 x+7 x^2})}{(-x-3 x^2+5 x^3+7 x^4) \log ^2(\frac {-x-x^2}{-1-2 x+7 x^2})} \, dx\)
  3.82.100 \(\int \frac {1}{3} 2^{\frac {2}{3} (-6 x^2+18 x^3+x^4-3 x^5)} (-12 x+54 x^2+4 x^3-15 x^4) \log (4) \, dx\)