3.29 Integrals 2801 to 2900

  3.29.1 \(\int \frac {80 e^2+e^4 x^2+e^{2 e^{3+4 e^4+x}} x^2+e^{e^{3+4 e^4+x}} (80+2 e^2 x^2+e^{3+4 e^4+x} (80 x-80 x^2))}{e^4 x^2+e^{2 e^{3+4 e^4+x}} x^2+2 e^{2+e^{3+4 e^4+x}} x^2} \, dx\)
  3.29.2 \(\int \frac {e^{\frac {9 x}{\log (\frac {e^{10}+2 e^5 x+x^2}{e^8})}} (36 x+(-18 e^5-18 x) \log (\frac {e^{10}+2 e^5 x+x^2}{e^8}))}{e^{\frac {18 x}{\log (\frac {e^{10}+2 e^5 x+x^2}{e^8})}} (e^5+x) \log ^2(\frac {e^{10}+2 e^5 x+x^2}{e^8})+e^{\frac {9 x}{\log (\frac {e^{10}+2 e^5 x+x^2}{e^8})}} (2 e^7+2 e^2 x) \log ^2(\frac {e^{10}+2 e^5 x+x^2}{e^8})+(e^9+e^4 x) \log ^2(\frac {e^{10}+2 e^5 x+x^2}{e^8})} \, dx\)
  3.29.3 \(\int \frac {-1+x+2 x^2-6 x^3+4 x^4}{-6 x+x^2+x \log (\frac {1}{5} e^{x^2-2 x^3+x^4})+x \log (\frac {2}{x})} \, dx\)
  3.29.4 \(\int \frac {20000+7000 x-3100 x^2-1940 x^3-340 x^4-32 x^5-12 x^6+(-4 x^5-4 x^6) \log (8-2 x-x^2)}{-8 x^5+2 x^6+x^7} \, dx\)
  3.29.5 \(\int \frac {e^{-x} (2+(-1-x) \log (x^2))}{5 x^2} \, dx\)
  3.29.6 \(\int \frac {(4 x^6+8 x^3 \log (4)) \log (\frac {121 x^4-110 x^5+25 x^6+(110 x^2-50 x^3) \log (4)+25 \log ^2(4)}{4 x^4-4 x^5+x^6+(4 x^2-2 x^3) \log (4)+\log ^2(4)})+(44 x^5-42 x^6+10 x^7+(42 x^3-20 x^4) \log (4)+10 x \log ^2(4)) \log ^2(\frac {121 x^4-110 x^5+25 x^6+(110 x^2-50 x^3) \log (4)+25 \log ^2(4)}{4 x^4-4 x^5+x^6+(4 x^2-2 x^3) \log (4)+\log ^2(4)})}{22 x^4-21 x^5+5 x^6+(21 x^2-10 x^3) \log (4)+5 \log ^2(4)} \, dx\)
  3.29.7 \(\int -\frac {2 e^{\frac {1}{5} \log ^2(2-x)} \log (2-x)}{-160+80 x+e^{\frac {2}{5} \log ^2(2-x)} (-10+5 x)+e^{\frac {1}{5} \log ^2(2-x)} (-80+40 x)} \, dx\)
  3.29.8 \(\int \frac {e^{\frac {16+12 x^2+3 x^3+e^x (4 x^2+x^3)}{4 x^2+x^3}} (-256-96 x+e^x (32 x^3+16 x^4+2 x^5))}{16 x^3+8 x^4+x^5} \, dx\)
  3.29.9 \(\int \frac {3+2 e^{5+x} x^2-4 e^{2+2 x} x^2}{-3 x-2 x^2-8 e^2 x^2+2 e^{5+x} x^2-2 e^{2+2 x} x^2} \, dx\)
  3.29.10 \(\int \frac {121+400 x-1100 x^2+2500 x^4+(220-1000 x^2) (i \pi +\log (-\log (\frac {\log (4)}{2})))+100 (i \pi +\log (-\log (\frac {\log (4)}{2})))^2}{121-1100 x^2+2500 x^4+(220-1000 x^2) (i \pi +\log (-\log (\frac {\log (4)}{2})))+100 (i \pi +\log (-\log (\frac {\log (4)}{2})))^2} \, dx\)
  3.29.11 \(\int \frac {1}{3-x+(-3+x) \log (-3+x)} \, dx\)
  3.29.12 \(\int \frac {108 x+126 x^2+36 x^3+50 x^5+(100 x^3+150 x^4+50 x^5) \log (3)+e^{3 x} (-50 x^2+(-100-150 x-50 x^2) \log (3))+e^{2 x} (150 x^3+(300 x+450 x^2+150 x^3) \log (3))+e^x (-36-126 x-90 x^2-18 x^3-150 x^4+(-300 x^2-450 x^3-150 x^4) \log (3))}{-200 x^5-300 x^6-150 x^7-25 x^8+e^{3 x} (200 x^2+300 x^3+150 x^4+25 x^5)+e^{2 x} (-600 x^3-900 x^4-450 x^5-75 x^6)+e^x (600 x^4+900 x^5+450 x^6+75 x^7)} \, dx\)
  3.29.13 \(\int (2-e^{-3+x}+e^{e^4} (2-e^{-3+x})-2 x) \, dx\)
  3.29.14 \(\int \frac {e^{-8+4 x} (2-24 x+8 x \log (x))}{x} \, dx\)
  3.29.15 \(\int \frac {1}{4} e^{\frac {1}{4} (24+6 e^x+5 x+x^4)} (5+6 e^x+4 x^3) \, dx\)
  3.29.16 \(\int \frac {(-1+x^2) (\frac {-1+x^2}{x})^{e^{e^{15+x^2-2 x \log (2)+\log ^2(2)}}} (1+x^2+e^{e^{15+x^2-2 x \log (2)+\log ^2(2)}} (1+x^2+e^{15+x^2-2 x \log (2)+\log ^2(2)} (-2 x^2+2 x^4+(2 x-2 x^3) \log (2)) \log (\frac {-1+x^2}{x})))}{x (-x+x^3)} \, dx\)
  3.29.17 \(\int (-6-2 x) \log (4) \, dx\)
  3.29.18 \(\int (-\log (2)+3 e^{2+x} \log (2)) \, dx\)
  3.29.19 \(\int \frac {\log (e x) (e^{x+x^2} (-4+2 x)-2 e^{x+x^2} \log (x^2))+\log ^2(e x) (e^{x+x^2} (4-4 x-3 x^2+2 x^3)+e^{x+x^2} (1-x-2 x^2) \log (x^2))}{4 x^2-4 x^3+x^4+(4 x^2-2 x^3) \log (x^2)+x^2 \log ^2(x^2)} \, dx\)
  3.29.20 \(\int \frac {e^{-e^{\frac {1}{5+x}}} (25+e^{\frac {1}{5+x}} (-3+x)+10 x+x^2)}{25+10 x+x^2} \, dx\)
  3.29.21 \(\int \frac {e^{-\frac {2 (25+x+25 x \log (5))}{1+x \log (5)}} (e^x (-1+x+(-2 x-2 x^2) \log (5)+(-x^2-x^3) \log ^2(5))+e^{\frac {2 (25+x+25 x \log (5))}{1+x \log (5)}} (-6+2 x+(-12 x+4 x^2) \log (5)+(-6 x^2+2 x^3) \log ^2(5)))}{1+2 x \log (5)+x^2 \log ^2(5)} \, dx\)
  3.29.22 \(\int \frac {4+2 x-e^{3+x} x+(4+e^{3+x} (-2 x-x^2)) \log (x)+(x+(4-e^{3+x} x) \log (x)) \log (x+(4-e^{3+x} x) \log (x))}{-x+(-4+e^{3+x} x) \log (x)} \, dx\)
  3.29.23 \(\int \frac {-101+e^3-4 e^x+8 x+(-8 x+4 e^x x) \log (x)}{10201 x+e^6 x+16 e^{2 x} x-1616 x^2+64 x^3+e^x (808 x-8 e^3 x-64 x^2)+e^3 (-202 x+16 x^2)} \, dx\)
  3.29.24 \(\int \frac {-936-1848 x+2256 x^2+640 x^3+(-480-984 x-2408 x^2-640 x^3) \log (\frac {9+3 x}{x})+(480 x+640 x^2+160 x^3) \log ^2(\frac {9+3 x}{x})}{15 x+5 x^2} \, dx\)
  3.29.25 \(\int \frac {-80 x+\frac {e^{3+2 x} (-128+128 x)}{x^2}}{\frac {16 e^{6+4 x}}{x^3}+10816 x-1040 x^2+25 x^3+\frac {e^{3+2 x} (832 x-40 x^2)}{x^2}} \, dx\)
  3.29.26 \(\int \frac {13+(68 x+26 x^2) \log (34+13 x)}{(34+13 x) \log (34+13 x)} \, dx\)
  3.29.27 \(\int (1+9 \log (5)-\log ^2(\log (5))) \, dx\)
  3.29.28 \(\int \frac {2 x-3 x^3+(2 x-2 x^2) \log (1-x)+(-2+2 x) \log (x)+(-1+x) \log ^2(x)}{-1+x} \, dx\)
  3.29.29 \(\int \frac {720-192 x-86 x^2+28 x^3+2 x^4+e^x (-180+228 x-56 x^2-12 x^3+4 x^4)}{576-336 x+x^2+14 x^3+x^4+e^{2 x} (36-24 x+4 x^2)+e^x (-288+180 x-16 x^2-4 x^3)} \, dx\)
  3.29.30 \(\int \frac {216-36 x+(-351+e^3 (3-x)+117 x) \log (-\frac {x^2}{-3+x})+(108-18 x+(-162+54 x) \log (-\frac {x^2}{-3+x})) \log (\frac {x}{\log (-\frac {x^2}{-3+x})})+(-27+9 x) \log (-\frac {x^2}{-3+x}) \log ^2(\frac {x}{\log (-\frac {x^2}{-3+x})})}{(-9+3 x) \log (-\frac {x^2}{-3+x})} \, dx\)
  3.29.31 \(\int (56 x+8 e x+16 x^3) \, dx\)
  3.29.32 \(\int \frac {-40-6 x^3}{20 x+11 x^3+e^{10} x^3-6 x^4+x^3 \log (4)} \, dx\)
  3.29.33 \(\int \frac {24+12 x-4 e^x x^2 \log (2)-4 x^3 \log (2)+(-12 x+12 x^3 \log (2)+e^x (8 x^2+4 x^3) \log (2)) \log (x)}{3 x \log ^2(x)} \, dx\)
  3.29.34 \(\int \frac {3-15 x+5 x^2-x^3}{x-2 x^2+x^3} \, dx\)
  3.29.35 \(\int \frac {27-18 x-24 x^2+12 x^3+8 x^4-2 x^5-x^6+e^{\frac {4 x+4 x^2}{-3+x+x^2}} (12 x^2+24 x^3)}{9 x^2-6 x^3-5 x^4+2 x^5+x^6} \, dx\)
  3.29.36 \(\int \frac {1+e^2+e (2-2 x)-2 x+x^2+e^{3 x} (-3 x^2-3 e^2 x^2+6 x^3-3 x^4+e (-6 x^2+6 x^3))+x^2 \log (5)}{1+2 x-3 x^2-4 x^3+4 x^4+e^2 (1+4 x+4 x^2)+e (2+6 x-8 x^3)+e^{6 x} (x^2+e^2 x^2-2 x^3+x^4+e (2 x^2-2 x^3))+(-2 x-2 x^2+4 x^3+e (-2 x-4 x^2)) \log (5)+x^2 \log ^2(5)+e^{3 x} (2 x-6 x^3+4 x^4+e^2 (2 x+4 x^2)+e (4 x+4 x^2-8 x^3)+(-2 x^2-2 e x^2+2 x^3) \log (5))} \, dx\)
  3.29.37 \(\int \frac {2500+1000 x+100 x^2+e^x (500-300 x-180 x^2-20 x^3)+(-20-8 x) \log (3)}{1953125 x+859375 x^2+109375 x^3+3125 x^4+e^x (390625 x+156250 x^2+15625 x^3)+(-15625 x-3125 x^2) \log (3)+(1953125 x+859375 x^2+109375 x^3+3125 x^4+e^x (390625 x+156250 x^2+15625 x^3)+(-15625 x-3125 x^2) \log (3)) \log (\frac {125+30 x+x^2+e^x (25+5 x)-\log (3)}{5 x+x^2})+(781250 x+343750 x^2+43750 x^3+1250 x^4+e^x (156250 x+62500 x^2+6250 x^3)+(-6250 x-1250 x^2) \log (3)) \log ^2(\frac {125+30 x+x^2+e^x (25+5 x)-\log (3)}{5 x+x^2})+(156250 x+68750 x^2+8750 x^3+250 x^4+e^x (31250 x+12500 x^2+1250 x^3)+(-1250 x-250 x^2) \log (3)) \log ^3(\frac {125+30 x+x^2+e^x (25+5 x)-\log (3)}{5 x+x^2})+(15625 x+6875 x^2+875 x^3+25 x^4+e^x (3125 x+1250 x^2+125 x^3)+(-125 x-25 x^2) \log (3)) \log ^4(\frac {125+30 x+x^2+e^x (25+5 x)-\log (3)}{5 x+x^2})+(625 x+275 x^2+35 x^3+x^4+e^x (125 x+50 x^2+5 x^3)+(-5 x-x^2) \log (3)) \log ^5(\frac {125+30 x+x^2+e^x (25+5 x)-\log (3)}{5 x+x^2})} \, dx\)
  3.29.38 \(\int \frac {3+e^x (-10-15 x)+e^x (5+5 x) \log (x)}{(1+3 x-15 e^x x+5 e^x x \log (x)) \log (\frac {1}{3} (-1-3 x+15 e^x x-5 e^x x \log (x)))} \, dx\)
  3.29.39 \(\int \frac {-1+2 x-2 x^2-3 x^3+e^{2 x} (25 x+50 x^2)}{x} \, dx\)
  3.29.40 \(\int \frac {5 e^{-5+x}}{4} \, dx\)
  3.29.41 \(\int \frac {5 x^2+8 x^3+e^{x^2} (-5+10 x^2+e (-1+2 x^2))}{5 x^2} \, dx\)
  3.29.42 \(\int \frac {-12-4 x^2-4 x^3+e^4 (-3-x^2)}{30 x^2} \, dx\)
  3.29.43 \(\int \frac {e^{e^3 (-9+3 x)} (-2+3 e^3 x)}{x^3} \, dx\)
  3.29.44 \(\int \frac {1200 x-800 \log (4)}{9 e^{10} x^5-18 e^{10} x^4 \log (4)+9 e^{10} x^3 \log ^2(4)} \, dx\)
  3.29.45 \(\int \frac {e^{\frac {-144+36 x+5 x^3}{-4+x}} (-240 x^2+40 x^3)}{16-8 x+x^2} \, dx\)
  3.29.46 \(\int \frac {1}{2} (22+4 e^{2 x}-4 e^{x^2} x+\log (5)) \, dx\)
  3.29.47 \(\int \frac {e^{-x} (-3 e^x x+e^{\frac {5 e^{-x}}{x}} ((-5-5 x) \log (3)+e^x x \log (3)))}{x} \, dx\)
  3.29.48 \(\int \frac {e^{3+x} (40-30 x+10 x^2)}{3 x^3+9 x^3 \log ^2(4)} \, dx\)
  3.29.49 \(\int \frac {-6-24 x+(-1-6 x) \log (2 x)+(24 x+4 \log (x)+(6 x+\log (x)) \log (2 x)+(8+2 \log (2 x)) \log (4+\log (2 x))) \log (\frac {8}{6 x+\log (x)+2 \log (4+\log (2 x))})}{24 x+4 \log (x)+(6 x+\log (x)) \log (2 x)+(8+2 \log (2 x)) \log (4+\log (2 x))} \, dx\)
  3.29.50 \(\int -\frac {8 e^{-\frac {19}{9}+\frac {8}{e^{19/9} x}}}{x^2} \, dx\)
  3.29.51 \(\int \frac {10 x+4 x^2-6 \log (5)+(4 x^2-2 \log (5)) \log (x)+x^2 \log ^2(x)}{4 x^2+4 x^2 \log (x)+x^2 \log ^2(x)} \, dx\)
  3.29.52 \(\int \frac {-4+2 x+(-2+x) \log (4)+(-6 x^2+2 x^3) \log (x)+(4+2 \log (4)) \log (x) \log (\frac {1}{\log (x)})}{(8-8 x+2 x^2+(4-4 x+x^2) \log (4)) \log (x)} \, dx\)
  3.29.53 \(\int \frac {e^{\frac {x^2}{e^{\frac {2}{3} (648+e^2 (8-3 x)-243 x)}+2 e^{\frac {1}{3} (648+e^2 (8-3 x)-243 x)} \log (x)+\log ^2(x)}} (-2 x+e^{\frac {1}{3} (648+e^2 (8-3 x)-243 x)} (2 x+162 x^2+2 e^2 x^2)+2 x \log (x))}{e^{648+e^2 (8-3 x)-243 x}+3 e^{\frac {2}{3} (648+e^2 (8-3 x)-243 x)} \log (x)+3 e^{\frac {1}{3} (648+e^2 (8-3 x)-243 x)} \log ^2(x)+\log ^3(x)} \, dx\)
  3.29.54 \(\int \frac {e^{\frac {2 (5-5 x)}{x}+2 x^2} (50-15 x+2 x^2-20 x^3+4 x^4)}{25 x} \, dx\)
  3.29.55 \(\int \frac {e^5 x+4 x^2+(4-e^4+e^5 x+2 x^2) \log (4-e^4+e^5 x+2 x^2)}{4-e^4+e^5 x+2 x^2} \, dx\)
  3.29.56 \(\int \frac {3 x^3+4^{25 x} (-2 x^2-25 x^3 \log (4))+e^{2 \log ^2(x)} (x-25 4^{25 x} x \log (4)+(-4^{1+25 x}+4 x) \log (x))+e^{\log ^2(x)} (4 x^2+4^{25 x} (-2 x-50 x^2 \log (4))+(-4^{1+25 x} x+4 x^2) \log (x))}{x} \, dx\)
  3.29.57 \(\int \frac {1}{5} (36-e^4-26 x+3 x^2+e^{4 x} (4+14 x-4 x^2)+e^{2 x} (-24-36 x+12 x^2)) \, dx\)
  3.29.58 \(\int \frac {12 x+16 x^2+e^x (-2 x^2+2 x^3)}{9+48 x+64 x^2+e^{2 x} x^2+e^x (-6 x-16 x^2)} \, dx\)
  3.29.59 \(\int -\frac {2 x}{1+2 x^2+x^4+(2 x^2+2 x^4) \log (4)+x^4 \log ^2(4)} \, dx\)
  3.29.60 \(\int \frac {-15+5 \log (3)}{48 x-15 x \log (4)+(-15 x+5 x \log (3)) \log (x)} \, dx\)
  3.29.61 \(\int \frac {1}{5} (1+10 x) \, dx\)
  3.29.62 \(\int \frac {2^{-72+8 x} (50 x+200 x^2 \log (2))}{6561} \, dx\)
  3.29.63 \(\int \frac {(5 x+12 x^2-27 x^3+12 x^4+5 x^5) \log (x)+(1+5 x+6 x^2-9 x^3+3 x^4+x^5) \log (1+5 x+6 x^2-9 x^3+3 x^4+x^5)}{x+5 x^2+6 x^3-9 x^4+3 x^5+x^6} \, dx\)
  3.29.64 \(\int \frac {-42+10 x+36 x^2-9 x^4-2 x^5+(45+27 x-29 x^2-17 x^3+x^4+x^5) \log (\frac {e^{2 x}}{3+x})}{-3 x-x^2+(27-9 x-21 x^2+x^3+5 x^4+x^5) \log (\frac {e^{2 x}}{3+x})} \, dx\)
  3.29.65 \(\int \frac {1+\log (\frac {3}{2 x})+\log ^2(\frac {3}{2 x})}{x \log (\frac {3}{2 x})+(28+x+\log (2)) \log ^2(\frac {3}{2 x})} \, dx\)
  3.29.66 \(\int \frac {1}{3} (-8+18 x) \, dx\)
  3.29.67 \(\int \frac {e^{x+\frac {3 x}{\log (x)}} (6+24 x) \log ^2(x)+e^{x+\frac {2 x}{\log (x)}} (72+288 x) \log ^2(x)+(20-20 x+e^x (384+1536 x)) \log ^2(x)+e^{\frac {x}{\log (x)}} (10 x-10 x \log (x)+(5-5 x+e^x (288+1152 x)) \log ^2(x))}{64 e^x \log ^2(x)+48 e^{x+\frac {x}{\log (x)}} \log ^2(x)+12 e^{x+\frac {2 x}{\log (x)}} \log ^2(x)+e^{x+\frac {3 x}{\log (x)}} \log ^2(x)} \, dx\)
  3.29.68 \(\int \frac {-6 x^3+e^{5+3 x} (-1-2 x^2-x^4)+e^{5-x} (-x^2-2 x^4-x^6)+e^{2 x} (3-6 x-3 x^2-6 x^3+e^{5-x} (-2 x-4 x^3-2 x^5))}{x^2+2 x^4+x^6+e^{4 x} (1+2 x^2+x^4)+e^{2 x} (2 x+4 x^3+2 x^5)} \, dx\)
  3.29.69 \(\int \frac {-4-14 x^2+2 x^3-x^2 \log (x)}{x^2} \, dx\)
  3.29.70 \(\int \frac {(-4+4 \log (x)) \log (\frac {5 x}{4})-\log (x) \log (\frac {\log ^2(x)}{x^2})}{x \log (x) \log (\frac {5 x}{4}) \log (\frac {\log ^2(x)}{x^2})} \, dx\)
  3.29.71 \(\int \frac {128 x^2+64 x^3-8 x^6+e^3 (-256-192 x-32 x^2)}{x^5} \, dx\)
  3.29.72 \(\int 12 e^{2/5} x^2 \, dx\)
  3.29.73 \(\int \frac {15 x-30 x \log (x)+(40 x-20 x^3) \log ^2(x)}{\log ^2(x)} \, dx\)
  3.29.74 \(\int (e^x (54+x)-9 e^x \log (\log (4))) \, dx\)
  3.29.75 \(\int \frac {15-21 x-36 x^2+(12+12 x) \log (x)+(2+4 x+(2+4 x) \log (x)) \log (x+x^2)+(-8+16 x+24 x^2+(-7-7 x) \log (x)) \log ^2(x+x^2)+(1-3 x-4 x^2+(1+x) \log (x)) \log ^4(x+x^2)+(3-15 x-18 x^2+(12+12 x) \log (x)+(-1+11 x+12 x^2+(-7-7 x) \log (x)) \log ^2(x+x^2)+(-2 x-2 x^2+(1+x) \log (x)) \log ^4(x+x^2)) \log (\frac {-1+6 x-4 \log (x)+(-2 x+\log (x)) \log ^2(x+x^2)}{-3+\log ^2(x+x^2)})}{3-15 x-18 x^2+(12+12 x) \log (x)+(-1+11 x+12 x^2+(-7-7 x) \log (x)) \log ^2(x+x^2)+(-2 x-2 x^2+(1+x) \log (x)) \log ^4(x+x^2)} \, dx\)
  3.29.76 \(\int (-4 x+12 x^2+e^x (4-5 x-5 x^2)+e^x (2 x+x^2) \log (x)) \, dx\)
  3.29.77 \(\int \frac {5}{4} e^{\frac {x^5}{4}} x^4 \, dx\)
  3.29.78 \(\int \frac {-414720+552960 \log (2)-276480 \log ^2(2)+61440 \log ^3(2)-5120 \log ^4(2)+(-414720+552960 \log (2)-276480 \log ^2(2)+61440 \log ^3(2)-5120 \log ^4(2)) \log (4)+(-155520+207360 \log (2)-103680 \log ^2(2)+23040 \log ^3(2)-1920 \log ^4(2)) \log ^2(4)+(-25920+34560 \log (2)-17280 \log ^2(2)+3840 \log ^3(2)-320 \log ^4(2)) \log ^3(4)+(-1620+2160 \log (2)-1080 \log ^2(2)+240 \log ^3(2)-20 \log ^4(2)) \log ^4(4)}{x^{21} \log ^4(4)} \, dx\)
  3.29.79 \(\int \frac {5696-3328 x+2560 x^2-512 x^3+256 x^4}{81-36 x+40 x^2-8 x^3+4 x^4} \, dx\)
  3.29.80 \(\int \frac {1}{3} (-6 x-2 x^2+2 x \log ^2(-x^2)+\log (x) (-12 x-6 x^2+8 x \log (-x^2)+4 x \log ^2(-x^2))) \, dx\)
  3.29.81 \(\int \frac {e^{-1-e^x+x+5 x^2+x \log (\log ^2(\log (x)))} (2+(1-e^x+10 x) \log (x) \log (\log (x))+\log (x) \log (\log (x)) \log (\log ^2(\log (x))))}{\log (x) \log (\log (x))} \, dx\)
  3.29.82 \(\int \frac {1}{25} (240+288 x+48 x^2+e^{x^2} (32+64 x+64 x^2+32 x^3)) \, dx\)
  3.29.83 \(\int \frac {x+2 e^{2 e^{x^2}+x^2} x-\log (2) \log ^2(1+2 e^5+e^{10})+e^{e^{x^2}} (-1-2 e^{x^2} x^2+2 e^{x^2} x \log (2) \log ^2(1+2 e^5+e^{10}))}{\log ^2(2)} \, dx\)
  3.29.84 \(\int \frac {6-x+(-3+x) \log (3-x)}{-3+x} \, dx\)
  3.29.85 \(\int \frac {-5+4 e^{1+x} x^3+(40+e^{1+x} (-128 x^3-32 x^4)+(5+e^{1+x} (-16 x^3-4 x^4)) \log (x)) \log (8+\log (x))}{(8+\log (x)) \log ^2(8+\log (x))} \, dx\)
  3.29.86 \(\int \frac {e^{7-3 x^2} (18 x-18 e^2 x)}{-1+e^3 (11-12 e^2)+e^{7-3 x^2} (-3+3 e^2)} \, dx\)
  3.29.87 \(\int \frac {-9+e+e^x (-1+x)+4 x^2}{x^2} \, dx\)
  3.29.88 \(\int \frac {1}{3} (-5+e^{-9-x+e^5 x-e^x x} (-3+3 e^5+e^x (-3-3 x))) \, dx\)
  3.29.89 \(\int \frac {-e-48 x^3+6 e^2 x^3+18 e^x x^3}{6 x^3} \, dx\)
  3.29.90 \(\int \frac {2}{(-4+x) \log (-8+2 x)} \, dx\)
  3.29.91 \(\int \frac {i \pi +4 x+\log (\frac {1}{10} (50-\log ^2(\frac {5}{3})))}{x (i \pi +\log (\frac {1}{10} (50-\log ^2(\frac {5}{3}))))} \, dx\)
  3.29.92 \(\int \frac {e^{-e^x} (e^{e^x} (-124+56 x-7 x^2)+e^2 (-16+8 x-x^2)+e^{2+x} (16 x-8 x^2+x^3))}{16-8 x+x^2} \, dx\)
  3.29.93 \(\int \frac {20 x+129 x^2+50 x^3+5 x^4+(60+730 x+171 x^2-20 x^3-5 x^4) \log (x)+(-60-387 x-150 x^2-15 x^3) \log (\frac {4 x+25 x^2+5 x^3}{75+15 x})}{(20 x+129 x^2+50 x^3+5 x^4) \log ^2(x)} \, dx\)
  3.29.94 \(\int \frac {4-20 x-32 x^2-9 x^3+(-8 x-8 x^2-2 x^3) \log (x)+(4+4 x+x^2) \log (\log (2))}{4 x-6 x^2-12 x^3-4 x^4+(-4 x^2-4 x^3-x^4) \log (x)+(4 x+4 x^2+x^3) \log (\log (2))} \, dx\)
  3.29.95 \(\int \frac {1}{9} (e^{2 x} (-9-18 x)+e^x (27+27 x-x^2)) \, dx\)
  3.29.96 \(\int \frac {e^4 (65536 x^4+49152 x^3 \log (2)+13824 x^2 \log ^2(2)+1728 x \log ^3(2)+81 \log ^4(2)) (-16 x-240 x^2+(-3+15 x) \log (2)+64 x \log (x))}{\log ^4(2) (5 x-\log (x)) (-80 x^3-15 x^2 \log (2)+(16 x^2+3 x \log (2)) \log (x))} \, dx\)
  3.29.97 \(\int \frac {e^{-\frac {e^5+5 x}{x}} (4 e^{5+4 e^{-\frac {e^5+5 x}{x}}}+e^{\frac {e^5+5 x}{x}} (2 x^2-2 x^3-6 x^4+4 x^5)+e^{2 e^{-\frac {e^5+5 x}{x}}} (e^5 (4+4 x-4 x^2)+e^{\frac {e^5+5 x}{x}} (2 x^2-4 x^3)))}{x^2} \, dx\)
  3.29.98 \(\int \frac {3-3 x^2+e^{e^{x^4+4 x^4 \log (x)+6 x^4 \log ^2(x)+4 x^4 \log ^3(x)+x^4 \log ^4(x)}+x^4+4 x^4 \log (x)+6 x^4 \log ^2(x)+4 x^4 \log ^3(x)+x^4 \log ^4(x)} (8 x^3+28 x^3 \log (x)+36 x^3 \log ^2(x)+20 x^3 \log ^3(x)+4 x^3 \log ^4(x))}{e^{e^{x^4+4 x^4 \log (x)+6 x^4 \log ^2(x)+4 x^4 \log ^3(x)+x^4 \log ^4(x)}}+3 x-x^3} \, dx\)
  3.29.99 \(\int \frac {42-9 x-36 x^2-15 x^3+(9 x+9 x^2) \log (x)+(-42 x-42 x^2-6 x^3+(42+42 x+6 x^2) \log (x)) \log (-\frac {x}{-2 x+2 \log (x)})}{-4 x^3-4 x^4-x^5+(4 x^2+4 x^3+x^4) \log (x)} \, dx\)
  3.29.100 \(\int \frac {-17+24 x}{12 x} \, dx\)