3.34 Integrals 3301 to 3400

  3.34.1 \(\int \frac {e^{-2 e^x} (-25+x^2+e^{2 e^x} x^2+e^x (-50 x-20 x^2-2 x^3)+(-20-4 x) \log (x)+(10+e^x (20 x+4 x^2)) \log ^2(x)+4 \log ^3(x)+(-1-2 e^x x) \log ^4(x))}{x^2} \, dx\)
  3.34.2 \(\int \frac {2 e^{3 x} x-6 e^{2 x} x^2-2 x^4-8 e^4 x^4+e^x (6 x^3+e^4 (16 x^3-8 x^4))}{e^{4+3 x}-3 e^{4+2 x} x+3 e^{4+x} x^2-e^4 x^3} \, dx\)
  3.34.3 \(\int \frac {-1+15 x+(-1+5 x) \log (x-10 x^2+25 x^3)}{(-1+5 x) \log (2)} \, dx\)
  3.34.4 \(\int 4 e^{4 x} \, dx\)
  3.34.5 \(\int \frac {e^{\frac {e^3 x+e^{2 x} x^2 \log (e^4+64 x)}{e^3}} (e^7+64 e^3 x+64 e^{2 x} x^2+e^{2 x} (128 x^2+128 x^3+e^4 (2 x+2 x^2)) \log (e^4+64 x))}{e^7+64 e^3 x} \, dx\)
  3.34.6 \(\int \frac {-x-25 e^x x+2 x^2+10 e^x \log (x)+5 e^x x \log ^2(x)}{x} \, dx\)
  3.34.7 \(\int \frac {48+184 x+187 x^2+90 x^3+27 x^4}{48 x+152 x^2+187 x^3+114 x^4+27 x^5} \, dx\)
  3.34.8 \(\int \frac {(-200+100 x) \log (10)+(64 x^3-32 x^4+4 x^5) \log (2 e^{\frac {x^2}{25}})}{400 x^2-200 x^3+25 x^4} \, dx\)
  3.34.9 \(\int \frac {e^{-9+7 x-x^2-x \log (\log (\log (x)))} (-24 x+(24+168 x-48 x^2) \log (x) \log (\log (x))-24 x \log (x) \log (\log (x)) \log (\log (\log (x))))}{\log (x) \log (\log (x))} \, dx\)
  3.34.10 \(\int \frac {e^{98} (-3-x)+4 x+x^2+(-e^{98}+x) \log (\frac {e^{-x} x}{2 e^{98}-2 x})}{e^{98} x^2-x^3} \, dx\)
  3.34.11 \(\int \frac {-1536-15 e^{12}}{256 x^2} \, dx\)
  3.34.12 \(\int \frac {-6-3 x^2-24 e^{\log ^2(4+4 x^2+x^4)} x \log (4+4 x^2+x^4)}{(10+10 x+5 x^2+5 x^3+e^{\log ^2(4+4 x^2+x^4)} (10+5 x^2)) \log ^2(1+e^{\log ^2(4+4 x^2+x^4)}+x)} \, dx\)
  3.34.13 \(\int e^{\frac {1}{2} (-12-8 e^2+2 x+x^2)} (5+e^{\frac {1}{2} (12+8 e^2-2 x-x^2)}+5 x) \, dx\)
  3.34.14 \(\int \frac {-x+x^2+2 x^3+(-1+x+2 x^2) \log (x)+(1-2 x^2+x^3+(-1-x+2 x^2) \log (x)) \log (-x+x^2)}{(-x^2-x^3+x^4+x^5) \log ^2(-x+x^2)} \, dx\)
  3.34.15 \(\int \frac {-208 x^5+16 x^6+e^{2 x} (-50 x^3+4 x^4)+e^x (2 x^3-206 x^4+16 x^5)+(308 x^4-24 x^5+e^{2 x} (74 x^2-6 x^3)+e^x (-2 x^2+304 x^3-24 x^4)) \log (\frac {e^x (12-x)+25 x-2 x^2}{6 e^x+12 x})+(-100 x^3+8 x^4+e^{2 x} (-24 x+2 x^2)+e^x (-98 x^2+8 x^3)) \log ^2(\frac {e^x (12-x)+25 x-2 x^2}{6 e^x+12 x})}{e^{2 x} (-12+x)-50 x^2+4 x^3+e^x (-49 x+4 x^2)} \, dx\)
  3.34.16 \(\int \frac {(-2 x^2+e^{e^{e^{x+x^2}}+e^{x+x^2}+x+x^2} (2 x^2+4 x^3)) \log (-e^{e^{e^{x+x^2}}}+x)+(2 e^{e^{e^{x+x^2}}} x-2 x^2) \log ^2(-e^{e^{e^{x+x^2}}}+x)}{27 e^{e^{e^{x+x^2}}}-27 x} \, dx\)
  3.34.17 \(\int \frac {-18-83 x-15 e^{2 x} x-e^{3 x} x-12 x^2+e^x (-51 x-14 x^2+2 x^3)+(69 x+30 e^x x+3 e^{2 x} x+2 x^2) \log (x)+(-15 x-3 e^x x) \log ^2(x)+x \log ^3(x)}{-125 x-75 e^x x-15 e^{2 x} x-e^{3 x} x+(75 x+30 e^x x+3 e^{2 x} x) \log (x)+(-15 x-3 e^x x) \log ^2(x)+x \log ^3(x)} \, dx\)
  3.34.18 \(\int \frac {-120 x-6 x^3+(-120 x-6 x^2+6 x^3) \log (\frac {400+40 x-39 x^2-2 x^3+x^4}{x^2})}{e (-20-x+x^2) \log ^2(\frac {400+40 x-39 x^2-2 x^3+x^4}{x^2})} \, dx\)
  3.34.19 \(\int (1+32 x+48 x^2+16 x^3+e^{2 e^4} (32 x+e^5 (-64-48 x^2)+e^{10} (64 x+16 x^3))+e^{e^4} (-64 x-48 x^2+e^5 (64+64 x+48 x^2+32 x^3))) \, dx\)
  3.34.20 \(\int \frac {e^{-4-x} (4+10 x+e^{4+x} x-10 x^2-4 x \log (x))}{x} \, dx\)
  3.34.21 \(\int \frac {e^{3+x} (-1+x)-2 x^2-2 e^{8-2 x} x^2+2 x^3+e^{4-x} (2 x-2 x^2+2 x^3)+(2 x-2 x^2-2 e^{4-x} x^2) \log (x)}{x^2} \, dx\)
  3.34.22 \(\int \frac {-30+80 x-20 x^2+(15-10 x^2) \log (4 x^2)}{2 x^2} \, dx\)
  3.34.23 \(\int \frac {-2-x+(-6-4 x) \log (\frac {3}{x})}{48 x^4+48 x^5+12 x^6} \, dx\)
  3.34.24 \(\int e^{1-5 e^4} (3+e^{-1+5 e^4} (-18 x+18 x^2)) \, dx\)
  3.34.25 \(\int (-24+e^x (-6-6 x)+e^{100+40 x+4 x^2} (6+240 x+48 x^2)) \, dx\)
  3.34.26 \(\int \frac {e^{-\frac {-e^{5 x^2} \log (4) \log (5)+(1+4 \log (4)) \log (5)}{\log (4)}} (-2+20 e^{5 x^2} x^2 \log (5))}{x^2} \, dx\)
  3.34.27 \(\int \frac {-2 e^{-\frac {x}{10+5 x}}+e^{-6-2 x} (40+40 x+10 x^2)}{20+20 x+5 x^2} \, dx\)
  3.34.28 \(\int \frac {-20-16 x-15 x^2-4 x^3+e^{3 x} (20+24 x+36 x^2+16 x^3)+e^{2 x} (-60-64 x-88 x^2-40 x^3-4 x^4)+e^x (60+56 x+67 x^2+26 x^3+2 x^4)}{-16+48 e^x-48 e^{2 x}+16 e^{3 x}} \, dx\)
  3.34.29 \(\int \frac {-32+8 x+e^{2 x} (-2+2 x)+e^x (16-10 x+2 x^2)+e^{4+8 x-2 x^2+(-4+x) \log (x)} (96-344 x+280 x^2-82 x^3+8 x^4+e^{2 x} (6-16 x+8 x^2)+e^x (-48+150 x-98 x^2+16 x^3)+(-32 x-2 e^{2 x} x+16 x^2-2 x^3+e^x (16 x-4 x^2)) \log (x))}{x^3+3 e^{4+8 x-2 x^2+(-4+x) \log (x)} x^3+3 e^{8+16 x-4 x^2+2 (-4+x) \log (x)} x^3+e^{12+24 x-6 x^2+3 (-4+x) \log (x)} x^3} \, dx\)
  3.34.30 \(\int \frac {(e^x (1+4 x+4 \log ^2(3))+\log (x)) \log ^2(e^x (1+4 x+4 \log ^2(3))+\log (x))+e^{\frac {x}{\log (e^x (1+4 x+4 \log ^2(3))+\log (x))}} (-1+e^x (-5 x-4 x^2-4 x \log ^2(3))+(e^x (1+4 x+4 \log ^2(3))+\log (x)) \log (e^x (1+4 x+4 \log ^2(3))+\log (x)))}{(e^x (1+4 x+4 \log ^2(3))+\log (x)) \log ^2(e^x (1+4 x+4 \log ^2(3))+\log (x))} \, dx\)
  3.34.31 \(\int \frac {1}{5} e^{\frac {2 e^4 x}{5}} (10 x+2 e^4 x^2) \, dx\)
  3.34.32 \(\int \frac {-390625 x-19530625 x^2+15625 x^3+(781250 x+19531250 x^2) \log (x+25 x^2)}{x^2+25 x^3+(1250 x+31250 x^2) \log (x+25 x^2)+(390625+9765625 x) \log ^2(x+25 x^2)} \, dx\)
  3.34.33 \(\int \frac {e^{-x} (15-10 x-5 x^2+e^5 (3+x) (42-19 x-16 x^2))}{3+x} \, dx\)
  3.34.34 \(\int \frac {e^{\frac {\log ^2(x)+(-8 x-4 x^2+2 x \log (3)) \log (x) \log (5+x)+(16 x^2+16 x^3+4 x^4+(-8 x^2-4 x^3) \log (3)+x^2 \log ^2(3)) \log ^2(5+x)}{x^2 \log ^2(5+x)}} (-2 x \log ^2(x)+((10+2 x+8 x^2+4 x^3-2 x^2 \log (3)) \log (x)+(-10-2 x) \log ^2(x)) \log (5+x)+(-40 x-28 x^2-4 x^3+(10 x+2 x^2) \log (3)+(40 x+8 x^2+(-10 x-2 x^2) \log (3)) \log (x)) \log ^2(5+x)+(80 x^3+56 x^4+8 x^5+(-20 x^3-4 x^4) \log (3)) \log ^3(5+x))}{(5 x^3+x^4) \log ^3(5+x)} \, dx\)
  3.34.35 \(\int (4 x^3+(2 x+3 x^2) \log (2)) \, dx\)
  3.34.36 \(\int \frac {660+775 x-241 x^2-31 x^3+8 x^4+e^2 (24-10 x+x^2)+(160+120 x-72 x^2+8 x^3) \log (4-x)}{660 x-137 x^2-39 x^3+8 x^4+e^2 (20-9 x+x^2)+(160 x-72 x^2+8 x^3) \log (4-x)} \, dx\)
  3.34.37 \(\int \frac {-1-4 x+e^{-3+x+(4-x+x^2) \log (4)} (x+(-x+2 x^2) \log (4))}{x} \, dx\)
  3.34.38 \(\int \frac {-9 x^2+x^2 \log ^2(36)+2 \log (x)-3 \log ^2(x)}{9 x^3-x^3 \log ^2(36)+x \log ^2(x)} \, dx\)
  3.34.39 \(\int \frac {e^{e^{\frac {4 e^6 x^2-x^3+x^4}{-1+x}}+e^{e^{\frac {4 e^6 x^2-x^3+x^4}{-1+x}}} x^2} (2 x-4 x^2+2 x^3+e^{\frac {4 e^6 x^2-x^3+x^4}{-1+x}} (3 x^4-6 x^5+3 x^6+e^6 (-8 x^3+4 x^4)))}{1-2 x+x^2} \, dx\)
  3.34.40 \(\int \frac {(-2 x^2-2 x^3+(18 x+38 x^2+4 x^3) \log (9+x) \log (\log (9+x))+(18+20 x-34 x^2-4 x^3) \log (9+x) \log ^2(\log (9+x))) \log (\frac {x+x^2+(2+x-x^2+\log (x)) \log (\log (9+x))}{\log (\log (9+x))})}{(9 x^2+10 x^3+x^4) \log (9+x) \log (\log (9+x))+(18 x+11 x^2-8 x^3-x^4+(9 x+x^2) \log (x)) \log (9+x) \log ^2(\log (9+x))} \, dx\)
  3.34.41 \(\int \frac {1800-600 x-550 x^2+100 x^3+50 x^4+(600-100 x-100 x^2) \log (x)+50 \log ^2(x)+(1500-250 x+50 x^2-50 x^3-50 x^4+(550-50 x) \log (x)+50 \log ^2(x)) \log (x^2)+x^3 \log ^2(x^2)}{x^3 \log ^2(x^2)} \, dx\)
  3.34.42 \(\int \frac {e^x (2-x)-3 x+3 x^5-x \log (4)-x \log (x)}{x^3} \, dx\)
  3.34.43 \(\int \frac {230+50 \log (3 x)}{x} \, dx\)
  3.34.44 \(\int \frac {8+2 x^2+e^x x^2-2 x^3}{2 x^2} \, dx\)
  3.34.45 \(\int \frac {-256-16 \log (3)}{4096+640 x+25 x^2+(512+40 x) \log (3)+16 \log ^2(3)} \, dx\)
  3.34.46 \(\int e^{3-x-x^2} (-6 e^{-3+2 x+x^2}+e^x (-6+12 x^2)) \, dx\)
  3.34.47 \(\int \frac {2 x^2+e^{e^x+x} x (-1-x-e^x x)}{x} \, dx\)
  3.34.48 \(\int \frac {(-x^3-25 x^5) \log (4)+(3 x^3+15 x^5) \log (4) \log (x+10 x^3+25 x^5)+(-1-5 x^2) \log ^2(x+10 x^3+25 x^5)+(1+5 x^2) \log (4^{-\frac {x^3}{\log (x+10 x^3+25 x^5)}} x) \log ^2(x+10 x^3+25 x^5)}{(1+5 x^2) \log ^2(4^{-\frac {x^3}{\log (x+10 x^3+25 x^5)}} x) \log ^2(x+10 x^3+25 x^5)} \, dx\)
  3.34.49 \(\int \frac {e^3 (4 x^3+x^4)+e^3 (4 x^2+x^3) \log (4+x)+(4 x^3+x^4+(4 x^2+x^3) \log (4+x)) \log (x+\log (4+x))+e^{e^{\frac {\log ^2(e^3+\log (x+\log (4+x)))}{x}}+\frac {\log ^2(e^3+\log (x+\log (4+x)))}{x}} ((-10 x-2 x^2) \log (e^3+\log (x+\log (4+x)))+(e^3 (4 x+x^2)+e^3 (4+x) \log (4+x)+(4 x+x^2+(4+x) \log (4+x)) \log (x+\log (4+x))) \log ^2(e^3+\log (x+\log (4+x))))}{e^3 (4 x^3+x^4) \log (4)+e^3 (4 x^2+x^3) \log (4) \log (4+x)+((4 x^3+x^4) \log (4)+(4 x^2+x^3) \log (4) \log (4+x)) \log (x+\log (4+x))} \, dx\)
  3.34.50 \(\int \frac {1}{2} (3+7 x+3 x^2+2 x^3+e^2 (1+2 x)) \, dx\)
  3.34.51 \(\int \frac {6 x+2 x^2-25 x^3-81 x^4-63 x^5-19 x^6-2 x^7+(6 x+81 x^2+243 x^3+189 x^4+57 x^5+6 x^6) \log (\frac {e^2}{3 x})+(-81 x-243 x^2-189 x^3-57 x^4-6 x^5) \log ^2(\frac {e^2}{3 x})+(27+81 x+63 x^2+19 x^3+2 x^4) \log ^3(\frac {e^2}{3 x})}{-27 x^3-27 x^4-9 x^5-x^6+(81 x^2+81 x^3+27 x^4+3 x^5) \log (\frac {e^2}{3 x})+(-81 x-81 x^2-27 x^3-3 x^4) \log ^2(\frac {e^2}{3 x})+(27+27 x+9 x^2+x^3) \log ^3(\frac {e^2}{3 x})} \, dx\)
  3.34.52 \(\int \frac {1}{3} (-7-e+3 e^2+6 x-9 x^2) \, dx\)
  3.34.53 \(\int \frac {-5+x-x \log (x)}{(-5 x+x^2) \log (x)} \, dx\)
  3.34.54 \(\int \frac {e^{16/625}+e^{\frac {2 (-3-x+e^{16/625} (9+x))}{e^{16/625}}} (-2 x+e^{16/625} (1+2 x))}{e^{16/625}} \, dx\)
  3.34.55 \(\int \frac {-486-243 x-18 x^3-18 x^4-3 x^5}{x^3} \, dx\)
  3.34.56 \(\int \frac {-1576 x^4+36 x^6+e^8 (-300 x^2-80 x^3-4 x^4)+e^4 (1600 x^3+280 x^4)}{620944 x^4+370360 x^5+83593 x^6+8460 x^7+324 x^8+e^{16} (2500+2000 x+600 x^2+80 x^3+4 x^4)+e^{12} (-40000 x-30000 x^2-8400 x^3-1040 x^4-48 x^5)+e^8 (238800 x^2+167020 x^3+43552 x^4+5020 x^5+216 x^6)+e^4 (-630400 x^3-408640 x^4-99112 x^5-10680 x^6-432 x^7)} \, dx\)
  3.34.57 \(\int \frac {e^{-\frac {e^{2 x}}{-25+5 x}} (e^{2 x} (143+e (11-2 x)-26 x)+e^{\frac {e^{2 x}}{-25+5 x}} (250 x-100 x^2+10 x^3))}{125-50 x+5 x^2} \, dx\)
  3.34.58 \(\int \frac {1}{256} (e^5 (3125-1250 x)-6250 x+1875 x^2) \, dx\)
  3.34.59 \(\int (-1+e^{36+e^{-16+24 x}+36 x+21 x^2+6 x^3+x^4+e^{-8+12 x} (-12-6 x-2 x^2)} (36+24 e^{-16+24 x}+42 x+18 x^2+4 x^3+e^{-8+12 x} (-150-76 x-24 x^2))) \, dx\)
  3.34.60 \(\int \frac {120-29 x+e^2 x+(70-10 x) \log (x)+10 \log ^2(x)}{80 x-39 x^2+e^2 x^2+5 x^3+(40 x-10 x^2) \log (x)+5 x \log ^2(x)} \, dx\)
  3.34.61 \(\int \frac {-4096 x-64 x^3+(-256 x+60 x^3+x^5) \log (-4+x^2)+(4096 x+(256 x-64 x^3) \log (-4+x^2)) \log (\log (-4+x^2))}{(-4096+1024 x^2) \log (-4+x^2)} \, dx\)
  3.34.62 \(\int \frac {1728 x^2+864 e x^2-864 x^3+e^{2 x} (12 x^2+12 x^3-6 x^4+e (6 x^2+6 x^3))+e^x (288 x^2+72 x^3-72 x^4+e (144 x^2+72 x^3))+(e^x (216 x+72 e x-72 x^2)+e^{2 x} (18 x+6 e x-6 x^2)) \log ^2(3+e-x)+(-432 x-144 e x+144 x^2+e^x (-36 x-12 e x+12 x^2)) \log (x)+(-144 x-72 e x+72 x^2+e^x (-12 x-12 x^2+6 x^3+e (-6 x-6 x^2))) \log ^2(x)+(36+12 e-12 x) \log ^3(x)+\log (3+e-x) (1728 x+864 e x-864 x^2+e^{2 x} (12 x+30 x^2-12 x^3+e (6 x+12 x^2))+e^x (288 x+288 x^2-144 x^3+e (144 x+144 x^2))+(-432-144 e+144 x+e^x (-36-12 e+12 x)) \log (x)+e^x (-18 x-6 e x+6 x^2) \log ^2(x))}{3 x+e x-x^2} \, dx\)
  3.34.63 \(\int \frac {3+2 x^2+(1-4 x) \log (4)+2 \log ^2(4)}{x^2-2 x \log (4)+\log ^2(4)} \, dx\)
  3.34.64 \(\int \frac {e^{\frac {2 (-10+(13 x+4 x^2) \log (4))}{x \log (4)}} (20+8 x^2 \log (4))+e^{\frac {-10+(13 x+4 x^2) \log (4)}{x \log (4)}} (100+40 x^2 \log (4))}{x^2 \log (4)} \, dx\)
  3.34.65 \(\int \frac {-4 x^3+e^{\frac {2 x+4 \log (3)}{x^2}} (30 x-6 x^2+x^3+(120-24 x) \log (3))+(-12 x^3+3 e^{\frac {2 x+4 \log (3)}{x^2}} x^3) \log (-4+e^{\frac {2 x+4 \log (3)}{x^2}})}{-12 x^3+3 e^{\frac {2 x+4 \log (3)}{x^2}} x^3} \, dx\)
  3.34.66 \(\int \frac {e^{200+40 x+2 x^2-2 x^3} (-2+(40 x+4 x^2-6 x^3) \log (x) \log (\log (x)))}{x \log (x) \log ^3(\log (x))} \, dx\)
  3.34.67 \(\int \frac {160 x^2+6 x^3-80 x^4+10 x^6+e^2 (240-120 x^2+15 x^4)}{80 x^2-40 x^4+5 x^6} \, dx\)
  3.34.68 \(\int \frac {-32 x^7+(x^2)^x (32 x^7-16 x^8-8 x^8 \log (x^2))+32 x^7 \log (\log (4))}{-1+(x^2)^{3 x}+3 \log (\log (4))-3 \log ^2(\log (4))+\log ^3(\log (4))+(x^2)^{2 x} (-3+3 \log (\log (4)))+(x^2)^x (3-6 \log (\log (4))+3 \log ^2(\log (4)))} \, dx\)
  3.34.69 \(\int \frac {1}{25} e^{e^x+\frac {1}{25} (-100+10 x^2+x^3)} (25 e^x+20 x+3 x^2) \, dx\)
  3.34.70 \(\int \frac {e^{8-x} (e^4 (-3-x)-x^2-x^3+(-2 x-x^2) \log (2))}{5 x^4} \, dx\)
  3.34.71 \(\int \frac {e^{\frac {x^2}{1+x+x^2}} (2 x+x^2)}{1+2 x+3 x^2+2 x^3+x^4} \, dx\)
  3.34.72 \(\int \frac {e^{-x} (124-150 e+330 x+(14+70 e-154 x) \log (\frac {1}{5} (-2-10 e+22 x)))}{1+5 e-11 x} \, dx\)
  3.34.73 \(\int \frac {10+15 x^3+e^x (10 x+5 x^2)+5 \log (\frac {e^{9+e^x (-1-x)-x^3}}{x^2})}{\log ^2(\frac {e^{9+e^x (-1-x)-x^3}}{x^2})} \, dx\)
  3.34.74 \(\int \frac {390625 x-1562500 x^2-100000000 x^4+400000000 x^5+e^{8 e} (-x^4+4 x^5)+e^{6 e} (-400 x^4+1600 x^5)+e^{4 e} (-60000 x^4+240000 x^5)+e^{2 e} (-4000000 x^4+16000000 x^5)+(781250 x-4687500 x^2-500000000 x^4+2400000000 x^5+e^{8 e} (-5 x^4+24 x^5)+e^{6 e} (-2000 x^4+9600 x^5)+e^{4 e} (-300000 x^4+1440000 x^5)+e^{2 e} (-20000000 x^4+96000000 x^5)) \log (x)}{390625} \, dx\)
  3.34.75 \(\int \frac {(-2 x^3+10 x^4) \log ^2(\frac {4}{x})-8 x^3 \log ^2(\frac {4}{x}) \log (x)+e^{\frac {1}{2} (-10+e^{\frac {3}{\log (\frac {4}{x})}})} ((-2 x+6 x^2) \log ^2(\frac {4}{x})-4 x \log ^2(\frac {4}{x}) \log (x)+e^{\frac {3}{\log (\frac {4}{x})}} (3 x^2-3 x \log (x)))}{2 \log ^2(\frac {4}{x})} \, dx\)
  3.34.76 \(\int -\frac {4 \log (4)}{1+2 x+x^2} \, dx\)
  3.34.77 \(\int -\frac {4 \log (2) \log (9)}{x^2+(-16 x-32 e^3 x) \log (2)+(64+256 e^3+256 e^6) \log ^2(2)} \, dx\)
  3.34.78 \(\int \frac {-8 x+2 e^{2 x} x^3+e^x (-4 x+4 x^3)+(8 x+6 e^{2 x} x^2+e^x (-4+4 x+8 x^2)) \log (3 x)+(6 e^{2 x} x+e^x (4+4 x)) \log ^2(3 x)+2 e^{2 x} \log ^3(3 x)}{-e^4 x^3+4 e^x x^3+e^{2 x} x^3+(-8 x^2-3 e^4 x^2+8 e^x x^2+3 e^{2 x} x^2) \log (3 x)+(-12 x-3 e^4 x+4 e^x x+3 e^{2 x} x) \log ^2(3 x)+(-4-e^4+e^{2 x}) \log ^3(3 x)} \, dx\)
  3.34.79 \(\int \frac {e^{\frac {2 e^{x^2}+x^3 \log (e^{x^2}+2 x)}{\log (e^{x^2}+2 x)}} (-4 e^{x^2}-4 e^{2 x^2} x+(4 e^{2 x^2} x+8 e^{x^2} x^2) \log (e^{x^2}+2 x)+(3 e^{x^2} x^2+6 x^3) \log ^2(e^{x^2}+2 x))}{(e^{x^2}+2 x) \log ^2(e^{x^2}+2 x)} \, dx\)
  3.34.80 \(\int \frac {6+e^x-4 x}{6 e^{1+x}+e (12-12 x)} \, dx\)
  3.34.81 \(\int \frac {(648+792 x+242 x^2) \log (x)+(396 x+242 x^2) \log ^2(x)+e^{2 \log ^2(\log (x))} (18 \log (x)+36 \log (x) \log (\log (x)))+e^{\log ^2(\log (x))} ((-216-132 x) \log (x)-66 x \log ^2(x)+(-216-132 x) \log (x) \log (\log (x)))}{9 x} \, dx\)
  3.34.82 \(\int \frac {-e^x x+e^{12+4 x} x^3 (3+2 x)}{x+2 e^{12+3 x} x^4+e^{24+6 x} x^7} \, dx\)
  3.34.83 \(\int \frac {(4-4 e^4+e^8) \log ^2(x)+(-4+2 e^4) \log ^2(x) \log (4 x^2)+\log ^2(x) \log ^2(4 x^2)+e^{\frac {4}{-2+e^4+\log (4 x^2)}} (4-4 e^4+e^8+(4+4 e^4-e^8) \log (x)+(-4+2 e^4+(4-2 e^4) \log (x)) \log (4 x^2)+(1-\log (x)) \log ^2(4 x^2))}{(4-4 e^4+e^8) \log ^2(x)+(-4+2 e^4) \log ^2(x) \log (4 x^2)+\log ^2(x) \log ^2(4 x^2)} \, dx\)
  3.34.84 \(\int \frac {9 e^{2 e}+15 e^e x^2+2 x^4}{9 e^{2 e}+6 e^e x^2+x^4} \, dx\)
  3.34.85 \(\int \frac {e^x (16+24 x+e^4 x+12 x^2+2 x^3+(-8-20 x-18 x^2-7 x^3-x^4) \log (7))}{8+12 x+6 x^2+x^3} \, dx\)
  3.34.86 \(\int \frac {e^{e^{\frac {1}{2 x \log (x)}}+\frac {1}{2 x \log (x)}} (-3-3 \log (x))-6 x^2 \log ^2(x)}{8 e^{4+e^{\frac {1}{2 x \log (x)}}} x^2 \log ^2(x)-8 e^4 x^3 \log ^2(x)} \, dx\)
  3.34.87 \(\int \frac {-3+e^4 (9-4 x^2)}{15 e^4 x^4} \, dx\)
  3.34.88 \(\int \frac {e^8 (-16+\frac {320}{e^4}+\frac {4 (-400-32 x^3+3 x^4)}{e^8})}{24 x^2} \, dx\)
  3.34.89 \(\int \frac {(-80-256 e^2-192 x) \log (2)}{625 x^2+20480 e^6 x^2+1500 x^3+1200 x^4+320 x^5+e^4 (19200 x^2+15360 x^3)+e^2 (6000 x^2+9600 x^3+3840 x^4)} \, dx\)
  3.34.90 \(\int \frac {e^{e^5-x} (-1-x)+4 x^2+4 e^x x^2}{2 x^2} \, dx\)
  3.34.91 \(\int \frac {-8 e^{\frac {3}{5}+x}+e^{e^3} (-42+2 e^x-2 x)+e^{3/5} (168+8 x)+(4 e^{3/5} x-4 e^{\frac {3}{5}+x} x+e^{e^3} (-x+e^x x)) \log (x^2)}{x} \, dx\)
  3.34.92 \(\int \frac {1}{2} (360 x^2-96 x^3-56 x^6+9 x^2 \log (2)) \, dx\)
  3.34.93 \(\int \frac {e^{2 \log ^2(x)} (-216+27 x+90 x^3+216 x^4-27 x^5-12 x^7-72 x^8+9 x^9-6 x^{11}+8 x^{12}-x^{13}+(-864-108 x-72 x^3+864 x^4+108 x^5+48 x^7-288 x^8-36 x^9-8 x^{11}+32 x^{12}+4 x^{13}) \log (x))}{-13824-5184 x-648 x^2-3483 x^3+12960 x^4+5130 x^5+360 x^6+2295 x^7-4032 x^8-1700 x^9-120 x^{10}-381 x^{11}+416 x^{12}+186 x^{13}+24 x^{14}+x^{15}} \, dx\)
  3.34.94 \(\int \frac {e^{-1-x+\log ^2(\frac {-60+20 x}{x})} (3 x-x^2+6 \log (\frac {-60+20 x}{x}))}{-3 x+x^2} \, dx\)
  3.34.95 \(\int \frac {6+2 x}{8+6 x+x^2} \, dx\)
  3.34.96 \(\int \frac {3+x}{4+x} \, dx\)
  3.34.97 \(\int (-2+e^{16} x) \, dx\)
  3.34.98 \(\int e^{2+x} \, dx\)
  3.34.99 \(\int e^{-x} (2-e^x+e (1-x)-2 x) \, dx\)
  3.34.100 \(\int \frac {e^{2 e^x} (-4+12 x^2-4 x^3)+e^6 (12 x^2-4 x^3)+e^{e^x} (4 e^{3+x} x+e^3 (-4+24 x^2-8 x^3))}{e^{2 e^x} (4-20 x+49 x^2-64 x^3+46 x^4-12 x^5+x^6)+e^6 (25 x^2-60 x^3+46 x^4-12 x^5+x^6)+e^{3+e^x} (-20 x+74 x^2-124 x^3+92 x^4-24 x^5+2 x^6)} \, dx\)