3.7 Integrals 601 to 700

  3.7.1 \(\int \frac {e^{\frac {1}{9 x+6 x^2+x^3+\frac {e^{5+x} (-6 x-2 x^2) (1+x \log (x))}{\log (x)}+\frac {e^{10+2 x} x (1+x \log (x))^2}{\log ^2(x)}}} ((3+3 x) \log (x)+(3 x+3 x^2) \log ^2(x)+\frac {e^{5+x} (1+x \log (x)) (2+(-1-2 x) \log (x)+(-3 x-2 x^2) \log ^2(x))}{\log (x)})}{(-27 x^2-27 x^3-9 x^4-x^5) \log (x)+(-27 x^3-27 x^4-9 x^5-x^6) \log ^2(x)+\frac {e^{15+3 x} (1+x \log (x))^3 (x^2 \log (x)+x^3 \log ^2(x))}{\log ^3(x)}+\frac {e^{10+2 x} (1+x \log (x))^2 ((-9 x^2-3 x^3) \log (x)+(-9 x^3-3 x^4) \log ^2(x))}{\log ^2(x)}+\frac {e^{5+x} (1+x \log (x)) ((27 x^2+18 x^3+3 x^4) \log (x)+(27 x^3+18 x^4+3 x^5) \log ^2(x))}{\log (x)}} \, dx\)
  3.7.2 \(\int \frac {4335+289 x+(-289 x+5 x^2) \log (\frac {-289+5 x}{x}) \log (\log (\frac {-289+5 x}{x}))}{(-289 x+5 x^2) \log (\frac {-289+5 x}{x})} \, dx\)
  3.7.3 \(\int \frac {1+e^x (3-x)+e^{288-432 x+162 x^2} (6485+e^x (15-5 x)-7020 x+1620 x^2)}{-3+x+e^{288-432 x+162 x^2} (-15+5 x)} \, dx\)
  3.7.4 \(\int \frac {e^{\frac {5}{3}+\frac {x-\log (x^2)}{x}} x+x \log (x)+(x \log (\frac {5}{x})+e^{\frac {x-\log (x^2)}{x}} (-2 e^{5/3} \log (\frac {5}{x})+e^{5/3} \log (\frac {5}{x}) \log (x^2))) \log (\log (\frac {5}{x}))}{x^2 \log (\frac {5}{x}) \log ^2(\log (\frac {5}{x}))} \, dx\)
  3.7.5 \(\int \frac {e^{\frac {-10+(2 x^4+\log (x)) \log (4 x \log (x))}{2 \log (4 x \log (x))}} (10+10 \log (x)+(1+8 x^4) \log (x) \log ^2(4 x \log (x)))}{2 x \log (x) \log ^2(4 x \log (x))} \, dx\)
  3.7.6 \(\int \frac {-4-x+2^x e^{-2+2^x x^{2+x}} x^x (6 x+5 x^2+x^3+(3 x^2+x^3) \log (2 x))}{-3 x-x^2+e^{-2+2^x x^{2+x}} (3+x)+(-3-x) \log (3+x)} \, dx\)
  3.7.7 \(\int \frac {1}{x \log (x)} \, dx\)
  3.7.8 \(\int \frac {630-172 x+65 x^2+5 x^4+e^x (405+90 x^2+5 x^4)}{405+90 x^2+5 x^4} \, dx\)
  3.7.9 \(\int 4 3^{-1-e^4+x} e^{3^{-1-e^4+x} (4+2 3^{1+e^4-x})} \log (3) \, dx\)
  3.7.10 \(\int \frac {-9+x+7 x^2-2 x^3+e^x (3 x-x^2)}{-3 x+x^2} \, dx\)
  3.7.11 \(\int \frac {40+e^{-5+x} (-20-10 x)+20 x+(-40-40 x+e^{-5+x} (20+20 x+10 x^2+5 x^3)) \log (x)+\log (2-e^{-5+x}) (-20 x-10 x^2+e^{-5+x} (10 x+5 x^2)+(10 x^2-5 e^{-5+x} x^2) \log (x))}{(-8+4 e^{-5+x}) \log ^2(x)+(8 x-4 e^{-5+x} x) \log (2-e^{-5+x}) \log ^2(x)+(-2 x^2+e^{-5+x} x^2) \log ^2(2-e^{-5+x}) \log ^2(x)} \, dx\)
  3.7.12 \(\int \frac {-2 e^{8+\frac {2 (2+3 x-e^x x)}{x}} x^3+e^{\frac {2+3 x-e^x x}{x}} (-10 e^{4+x} x^2+e^4 (-20+10 x))}{25 x+10 e^{4+\frac {2+3 x-e^x x}{x}} x^3+e^{8+\frac {2 (2+3 x-e^x x)}{x}} x^5} \, dx\)
  3.7.13 \(\int \frac {-3+e^5+x^2}{x^2} \, dx\)
  3.7.14 \(\int \frac {-30 e^3 x+e^6 x^4+(-15+2 e^3 x^3) \log (\log (2))+x^2 \log ^2(\log (2))}{e^6 x^4+2 e^3 x^3 \log (\log (2))+x^2 \log ^2(\log (2))} \, dx\)
  3.7.15 \(\int \frac {-6-12 x-3 x^2+e^4 (6+10 x)}{-6+6 e^4} \, dx\)
  3.7.16 \(\int \frac {(-1+e^x (1+x)) \log (e^{-x} (1+e^x (-1-x)))+((-x-e^x x) \log (x)+(-1+e^x (1+x)) \log (e^{-x} (1+e^x (-1-x))) \log (x)) \log (\frac {3}{\log (x)})}{(-1+e^x (1+x)) \log ^2(e^{-x} (1+e^x (-1-x))) \log (x) \log ^2(\frac {3}{\log (x)})} \, dx\)
  3.7.17 \(\int \frac {-12 x^2-4 x^3-2 x^4+e^3 (5+12 x+4 x^2+2 x^3)+(-6 x^2-2 x^3-x^4+e^3 (6 x+2 x^2+x^3)) \log (\frac {-e^3+x}{x})+(4 x^2+4 x^3+e^3 (-4 x-4 x^2)+(2 x^2+2 x^3+e^3 (-2 x-2 x^2)) \log (\frac {-e^3+x}{x})) \log (8+4 \log (\frac {-e^3+x}{x}))+(2 e^3 x-2 x^2+(e^3 x-x^2) \log (\frac {-e^3+x}{x})) \log ^2(8+4 \log (\frac {-e^3+x}{x}))}{-2 x^2-4 x^3-2 x^4+e^3 (2 x+4 x^2+2 x^3)+(-x^2-2 x^3-x^4+e^3 (x+2 x^2+x^3)) \log (\frac {-e^3+x}{x})+(4 x^2+4 x^3+e^3 (-4 x-4 x^2)+(2 x^2+2 x^3+e^3 (-2 x-2 x^2)) \log (\frac {-e^3+x}{x})) \log (8+4 \log (\frac {-e^3+x}{x}))+(2 e^3 x-2 x^2+(e^3 x-x^2) \log (\frac {-e^3+x}{x})) \log ^2(8+4 \log (\frac {-e^3+x}{x}))} \, dx\)
  3.7.18 \(\int \frac {1-11 x+4 x^2+(-8-8 x) \log (2+2 x)+(-20-20 x) \log ^2(2+2 x)}{-15-4 x+9 x^2-2 x^3+(-60-28 x+28 x^2-4 x^3) \log (2+2 x)+(-60-40 x+20 x^2) \log ^2(2+2 x)} \, dx\)
  3.7.19 \(\int \frac {588 x-294 x^2+44 x^3-2 x^4+e^{x/2} (-1176+854 x-217 x^2+24 x^3-x^4)}{-432 x^3+216 x^4-36 x^5+2 x^6} \, dx\)
  3.7.20 \(\int \frac {51 x^5+98 x^6+(1920 x^2+2240 x^3+240 x^5+1120 x^6) \log (5)+(-102400+12800 x^3+3200 x^6) \log ^2(5)}{9 x^5} \, dx\)
  3.7.21 \(\int \frac {e^4 x^2+e^{2 x} (-16+32 x-16 e^2 x^2+e^4 (1-2 x+3 x^2+2 x^3)) \log ^2(2)}{e^4 x^2} \, dx\)
  3.7.22 \(\int \frac {4+x^4+(4 x+4 x^4+x^5) \log (x)}{(4 x+x^5) \log (x)} \, dx\)
  3.7.23 \(\int \frac {-2880-1620 x-225 x^2+(-2880-1610 x-225 x^2) \log (\frac {32 x+9 x^2}{36+10 x})}{(576 x^2+322 x^3+45 x^4) \log ^2(\frac {32 x+9 x^2}{36+10 x})} \, dx\)
  3.7.24 \(\int \frac {4 x+30 x^2+16 x^3+2 x^4+e^x (-4+2 x+x^2)-x^2 \log (x)}{32 x^2+16 x^3+2 x^4} \, dx\)
  3.7.25 \(\int \frac {-320+82 x+16 x^2-3 x^3+(128-52 x+8 x^2) \log (x)-4 x \log ^2(x)}{x} \, dx\)
  3.7.26 \(\int \frac {1+2 x^2+2125764 x^3+393660 x^4+5340654 x^5+709344 x^6+4283612 x^7+394200 x^8+1506602 x^9+84636 x^{10}+237168 x^{11}+5832 x^{12}+13122 x^{13}}{x+531441 x^4+78732 x^5+712962 x^6+78840 x^7+357211 x^8+26280 x^9+79218 x^{10}+2916 x^{11}+6561 x^{12}} \, dx\)
  3.7.27 \(\int \frac {-1-e^3-6 x+3 x^2}{-x-2 x^2+3 x^3+e^3 (-x+x^2)} \, dx\)
  3.7.28 \(\int \frac {e^{\frac {-1+x^2 \log (2)}{x^2}} (8 x-2 x^2-8 x^3+3 x^4+e^{\frac {4}{\log ^2(3)}} (-8+2 x+4 x^2-2 x^3))}{16 x^6-8 x^7+x^8+e^{\frac {8}{\log ^2(3)}} (16 x^4-8 x^5+x^6)+e^{\frac {4}{\log ^2(3)}} (-32 x^5+16 x^6-2 x^7)} \, dx\)
  3.7.29 \(\int \frac {e^{\frac {1}{\log (\frac {4 x-4 e^{2+e^{e^x}+x} x+e^{2 e^{e^x}+2 x} (e^4 x-x^2)}{4-4 e^{2+e^{e^x}+x}+e^{4+2 e^{e^x}+2 x}})}} (8-12 e^{2+e^{e^x}+x}+e^{3 e^{e^x}+3 x} (-e^6+2 e^2 x)+e^{2 e^{e^x}+2 x} (6 e^4-4 x-4 x^2-4 e^{e^x+x} x^2))}{(-8 x+12 e^{2+e^{e^x}+x} x+e^{2 e^{e^x}+2 x} (-6 e^4 x+2 x^2)+e^{3 e^{e^x}+3 x} (e^6 x-e^2 x^2)) \log ^2(\frac {4 x-4 e^{2+e^{e^x}+x} x+e^{2 e^{e^x}+2 x} (e^4 x-x^2)}{4-4 e^{2+e^{e^x}+x}+e^{4+2 e^{e^x}+2 x}})} \, dx\)
  3.7.30 \(\int \frac {4 x^3+8 x^4-8 x^5+e^{\frac {625}{x^2}} (-3750+15000 x-15000 x^2)}{3 x^3-12 x^4+12 x^5} \, dx\)
  3.7.31 \(\int \frac {2 x^2+12 x^3-4 x^5-24 x^6+2 x^8+12 x^9+e^{e^8} (-1+2 x^2+4 x^3+4 x^5)}{x^2-2 x^5+x^8} \, dx\)
  3.7.32 \(\int \frac {1}{3} (-6+3 e^{-e^{\frac {1}{3} (3 x-x^2)}+\frac {1}{3} (3 x-x^2)} (-3+2 x)) \, dx\)
  3.7.33 \(\int \frac {1-2 x+(1-x) \log (16)+(-1+x) \log (-\frac {\log (15)}{-1+x})}{-3+4 x-x^2+(-3+4 x-x^2) \log (16)+(-x+x^2) \log (-\frac {\log (15)}{-1+x})} \, dx\)
  3.7.34 \(\int \frac {e^{-\frac {x^2}{e^{2 e^x}-e^2 x+2 x^2}} (e^{4 e^x}+e^4 x^2-3 e^2 x^3+4 x^4+e^{2 e^x} (-2 e^2 x+2 x^2+2 e^x x^3)+e^{\frac {x^2}{e^{2 e^x}-e^2 x+2 x^2}} (-9 e^{4 e^x} x^2-9 e^4 x^4+36 e^2 x^5-36 x^6+e^{2 e^x} (18 e^2 x^3-36 x^4)))}{e^{4 e^x}+e^4 x^2-4 e^2 x^3+4 x^4+e^{2 e^x} (-2 e^2 x+4 x^2)} \, dx\)
  3.7.35 \(\int \frac {e^{-\frac {1+e^x (2-x)-2 x+x^2}{-2+x}} (-6+8 x-2 x^2+e^{\frac {1+e^x (2-x)-2 x+x^2}{-2+x}} (-4+4 x-x^2)+e^x (8-8 x+2 x^2))}{4-4 x+x^2} \, dx\)
  3.7.36 \(\int \frac {e^{\frac {3}{50 x-25 x^3+e^x (-10+5 x^2)}} (-90+135 x^2+e^x (18-18 x-9 x^2))}{500 x^2-500 x^4+125 x^6+e^{2 x} (20-20 x^2+5 x^4)+e^x (-200 x+200 x^3-50 x^5)} \, dx\)
  3.7.37 \(\int \frac {-25+140 x-176 x^2+64 x^3+e^{-\frac {x}{-5+4 x}} (-25+35 x-16 x^2)+(25-40 x+16 x^2) \log (5)}{25-40 x+16 x^2} \, dx\)
  3.7.38 \(\int \frac {-12 x^2-8 x^3+e (12 x-4 x^3)}{e (1+2 x+x^2)} \, dx\)
  3.7.39 \(\int \frac {-36+12 x-2 x^3-16 e^{2 \log ^2(\frac {16}{x^2})} x^2 \log (\frac {16}{x^2})+e^{\log ^2(\frac {16}{x^2})} (12 x+(48 x-16 x^2) \log (\frac {16}{x^2}))}{x^3} \, dx\)
  3.7.40 \(\int \frac {-3 x-2 e x^3+2 x^4+e^{2 x^2} (-27-18 e x^2+18 x^3)+(-8 x^4+16 x^6+e^{2 x^2} (36 e x^2-36 x^3)+e (8 x^3-16 x^5)) \log (\frac {1}{9} e^{-2 x^2} (9 e^{2 x^2} x+x^2))+(2 e x^3-4 x^4+e^{2 x^2} (18 e x^2-36 x^3)) \log ^2(\frac {1}{9} e^{-2 x^2} (9 e^{2 x^2} x+x^2))+(36 e^{2 x^2} x^3+8 x^4-16 x^6) \log ^3(\frac {1}{9} e^{-2 x^2} (9 e^{2 x^2} x+x^2))+(18 e^{2 x^2} x^3+2 x^4) \log ^4(\frac {1}{9} e^{-2 x^2} (9 e^{2 x^2} x+x^2))}{9 e^{2 x^2} x^2+x^3} \, dx\)
  3.7.41 \(\int \frac {(4-12 x) \log (4)+x^{x^2} ((2-8 x^2) \log (4)-16 x^2 \log (4) \log (x))}{32+160 x+320 x^2+320 x^3+160 x^4+32 x^5+x^{5 x^2}+x^{4 x^2} (10+10 x)+x^{3 x^2} (40+80 x+40 x^2)+x^{2 x^2} (80+240 x+240 x^2+80 x^3)+x^{x^2} (80+320 x+480 x^2+320 x^3+80 x^4)} \, dx\)
  3.7.42 \(\int \frac {1}{2} (-45+4 x-\log ^2(3)-2 \log (x)) \, dx\)
  3.7.43 \(\int \frac {4+4 x^2+x^4+e^x (-4-4 x+2 x^2-2 x^3)+e^{e^x} (e^{2 x} (4 x+2 x^3)+e^x (4+4 x-2 x^2+2 x^3))}{4+4 x^2+x^4} \, dx\)
  3.7.44 \(\int (9378906250 x^9+e^{6+2 x^2} (7503125000 x^7+3751562500 x^9)+e^{3+x^2} (-16882031250 x^8-3751562500 x^{10})) \, dx\)
  3.7.45 \(\int \frac {(-24-12 x) \log ^2(5)+e^x (32+4 x-4 x^2) \log ^2(5)}{9 x^3+6 x^4+x^5+e^{2 x} (16 x^3-8 x^4+x^5)+e^x (-24 x^3-2 x^4+2 x^5)} \, dx\)
  3.7.46 \(\int \frac {1}{3} e^{22-2 e^{e^{\frac {1}{3} (-6-2 x)}}+x^2} (4 e^{e^{\frac {1}{3} (-6-2 x)}+\frac {1}{3} (-6-2 x)}+6 x) \, dx\)
  3.7.47 \(\int \frac {-30-3 x^3+e (10+x^3)}{x^3} \, dx\)
  3.7.48 \(\int (-12+e^x (-14+e^5 (-2-2 x))-2 x-4 e^5 x+4 e^{x^4} x^3+(e^x (-2-2 x)-4 x) \log (x)) \, dx\)
  3.7.49 \(\int \frac {16+6 e^{6-x-x^2} x-e^{12-2 x-2 x^2} x^2+(10+4 x+e^{6-x-x^2} (7 x^2+10 x^3)) \log (x^2)-x^2 \log ^2(x^2)}{4+4 e^{6-x-x^2} x+e^{12-2 x-2 x^2} x^2+(-4 x-2 e^{6-x-x^2} x^2) \log (x^2)+x^2 \log ^2(x^2)} \, dx\)
  3.7.50 \(\int 2 e^6 \, dx\)
  3.7.51 \(\int \frac {e^{-x} (e^x (5+x)+(6+2 e^x) \log (x)-3 x \log ^2(x))}{x} \, dx\)
  3.7.52 \(\int \frac {-x-98 x^2+e^x (-28 x^2-14 x^3)+e^{2 x} (-2 x^2-2 x^3)+(3+x+49 x^2+14 e^x x^2+e^{2 x} x^2) \log (3+x+49 x^2+14 e^x x^2+e^{2 x} x^2)}{3 x^2+x^3+49 x^4+14 e^x x^4+e^{2 x} x^4} \, dx\)
  3.7.53 \(\int 2 e^{e^{\frac {1}{81} (812+162 x-36 \log (4)+162 \log ^2(4))}+\frac {1}{81} (812+162 x-36 \log (4)+162 \log ^2(4))} \, dx\)
  3.7.54 \(\int \frac {-2+e^{-4+x+x^2} (-2 x-4 x^2)}{-5 e^{-4+x+x^2} x-5 x \log (x)+(2 e^{-4+x+x^2} x+2 x \log (x)) \log (4 e^{-4+x+x^2}+4 \log (x))} \, dx\)
  3.7.55 \(\int \frac {9}{4} e^{-2+e^4 x} (-\frac {16}{e^4}-4 x) x^3 \, dx\)
  3.7.56 \(\int \frac {-312+72 x+(108 x-24 x^2) \log (5)+(-9 x^2+2 x^3) \log ^2(5)+e^x (6+6 x-x^2 \log (5))}{36-12 x \log (5)+x^2 \log ^2(5)} \, dx\)
  3.7.57 \(\int (-10-2 e^x) \, dx\)
  3.7.58 \(\int \frac {e^{\frac {-2-4 x-x^2+4 x^3+x^4}{-1+x^2}} (4+6 x-8 x^2-4 x^3+4 x^4+2 x^5)}{1-2 x^2+x^4} \, dx\)
  3.7.59 \(\int \frac {e^{-1-\log ^2(4)-(-2-2 \log (4)) \log (x^2)-\log ^2(x^2)} (15-21 x+3 x^2+(12-20 x+4 x^2) \log (4)+(4 x+4 x \log (4)) \log (x)+(-12+20 x-4 x^2-4 x \log (x)) \log (x^2))}{16 (18-60 x+62 x^2-20 x^3+2 x^4+(12 x-20 x^2+4 x^3) \log (x)+2 x^2 \log ^2(x))} \, dx\)
  3.7.60 \(\int \frac {1}{3} (11+3 e^{16+x}-6 x+9 x^2) \, dx\)
  3.7.61 \(\int \frac {9+e^x (96-144 x)}{512 e^{2 x}+e^x (16-144 x)-3 x+9 x^2} \, dx\)
  3.7.62 \(\int \frac {e^{1+2 x} (1-2 x)+2 e^{2 x} \log (x)+e^{2 x} (-1+2 x) \log ^2(x)}{8 x^2} \, dx\)
  3.7.63 \(\int \frac {110+5 e^{20}+210 x-81 x^2+8 x^3}{100-40 x+4 x^2} \, dx\)
  3.7.64 \(\int \frac {-2 x+4 x^2+e^5 (-4+12 x-8 x^2)+e^{10} (4-10 x+4 x^2)+(-2 x^2+e^{10} (-8+8 x-2 x^2)+e^5 (-8 x+4 x^2)+2 e^{10} \log (2)) \log (\frac {x^2+e^5 (4 x-2 x^2)+e^{10} (4-4 x+x^2)-e^{10} \log (2)}{e^{10}})}{(-x^2+e^{10} (-4+4 x-x^2)+e^5 (-4 x+2 x^2)+e^{10} \log (2)) \log ^2(\frac {x^2+e^5 (4 x-2 x^2)+e^{10} (4-4 x+x^2)-e^{10} \log (2)}{e^{10}})} \, dx\)
  3.7.65 \(\int \frac {e^x+(-4 x-2 e x+2 x^2+e^{2 x} (2 x+e x-x^2)+e^x (-3 x-e x+x^2)) \log (x)+(-2 x-e^x x+e^{2 x} x) \log (x) \log (\log (x))}{e^x (2 x+e x-x^2) \log (x)+e^x x \log (x) \log (\log (x))} \, dx\)
  3.7.66 \(\int -\frac {2}{3} e^{2 x/3} \, dx\)
  3.7.67 \(\int \frac {e^{\frac {2 x}{-8+4 x}} (-4+5 x-x^2)+(60-60 x+15 x^2) \log (4)}{20-20 x+5 x^2} \, dx\)
  3.7.68 \(\int \frac {2-2 x \log (x^2)+e^{\log (5) \log (x)} \log (5) \log (x^2)}{x \log (x^2)} \, dx\)
  3.7.69 \(\int \frac {2 \log (\frac {1}{3} (3 x-e^5 x))}{x} \, dx\)
  3.7.70 \(\int \frac {e^{\frac {\frac {3 x}{e}+(100+25 x) \log (x)+(-4-x) \log ^3(x)}{(4+x) \log (x)}} (\frac {3 (-4 x-x^2)}{e}+\frac {12 x \log (x)}{e}+(-32-16 x-2 x^2) \log ^3(x))}{(16 x+8 x^2+x^3) \log ^2(x)} \, dx\)
  3.7.71 \(\int \frac {e^{\frac {-i \pi -x-\log (2)}{4 x^3+8 x^4+4 x^5}} (2 x+4 x^2+(3+5 x) (i \pi +\log (2)))}{4 x^4+12 x^5+12 x^6+4 x^7} \, dx\)
  3.7.72 \(\int \frac {-x^2-8 x^3+3 \log (x)}{3 x^2} \, dx\)
  3.7.73 \(\int \frac {1+x-x^2}{4 x^2} \, dx\)
  3.7.74 \(\int \frac {5 e^{5/x}+x^2+96 e^{10+2 x^3} x^4}{x^2} \, dx\)
  3.7.75 \(\int \frac {(4-4 x^2) \log (5)+(-1+x^2) \log ^2(5) \log (-1+x)+((-4+4 x^2+e^7 (-4-4 x+8 x^2)) \log (5)+e^7 (-x-x^2) \log ^2(5)+(1-x^2+e^7 (1+x-2 x^2)) \log ^2(5) \log (-1+x)) \log (x)+((-4-4 x+8 x^2) \log (5)+(-x-x^2) \log ^2(5)+(1+x-2 x^2) \log ^2(5) \log (-1+x)) \log (x) \log (\frac {\log (x)}{x})}{(-16 x^2-16 x^3+16 x^4+16 x^5+(8 x^2+8 x^3-8 x^4-8 x^5) \log (5) \log (-1+x)+(-x^2-x^3+x^4+x^5) \log ^2(5) \log ^2(-1+x)) \log (x)} \, dx\)
  3.7.76 \(\int \frac {-e^{3 x}+e^{2 x} (-1-2 \log (4))-3 x \log (4)-\log ^2(4)+e^x (-3 x-2 \log (4)-\log ^2(4))+(-e^{3 x} x-3 x \log (4)-2 e^{2 x} x \log (4)+e^x (-3 x+3 x^2-x \log ^2(4))) \log (x)}{3 (e^{4 x} x+9 x^3+6 x^2 \log (4)+x \log ^2(4)+e^{3 x} (2 x+2 x \log (4))+e^{2 x} (x+6 x^2+4 x \log (4)+x \log ^2(4))+e^x (6 x^2+(2 x+6 x^2) \log (4)+2 x \log ^2(4))) \log ^2(x)} \, dx\)
  3.7.77 \(\int \frac {300 x^2-440 x^3-20 x^4+160 x^5+e^3 (-25 x-85 x^2+35 x^3+40 x^4)+(100-120 x-60 x^2+80 x^3+e^3 (-25+5 x+20 x^2)) \log (\frac {4-e^3-4 x}{-1+x})}{4+e^3 (-1+x)-8 x+4 x^2} \, dx\)
  3.7.78 \(\int \frac {(-2+5 x+3 x^2) \log (\frac {19}{2+x})+\log (x) (x-3 x^2+(6 x+3 x^2) \log (\frac {19}{2+x}))}{8 x+4 x^2} \, dx\)
  3.7.79 \(\int \frac {e^{-x} (e^{-2+2 x} (5-5 x)+5 x^2+e^{-2+x} (-1+2 x))}{e^{-4+2 x}+10 e^{-2+x} x+25 x^2} \, dx\)
  3.7.80 \(\int (18+e^{e^x} (12 e^{5+3 x} x^5+e^{5+2 x} (60 x^4+24 x^5))+e^{2 e^x} (4 e^{10+5 x} x^9+e^{10+4 x} (18 x^8+8 x^9))) \, dx\)
  3.7.81 \(\int \frac {-45-15 e x+10 e \log (3+e x)}{3+e x} \, dx\)
  3.7.82 \(\int (e^3 (5+e^2)+e^{32+2 x} (-5+e^2 (-1-2 x)-8 x)+9 x+2 e^2 x+(e^3+e^{32+2 x} (-1-2 x)+2 x) \log (x)) \, dx\)
  3.7.83 \(\int \frac {-189-24 e^{-8+2 x}-114 x+e^{-4+x} (135+47 x+35 x^2-4 x^3)}{27+324 x+1296 x^2+1728 x^3+e^{-4+x} (-18-216 x-864 x^2-1152 x^3)+e^{-8+2 x} (3+36 x+144 x^2+192 x^3)} \, dx\)
  3.7.84 \(\int \frac {(-36 x^3-24 x^4-4 x^5) \log ^2(x)+e^{\frac {1}{(3 x^3+x^4) \log (x)}} (3+x+(9+4 x) \log (x)+(9 x^3+6 x^4+x^5) \log ^2(x))}{e^{\frac {1}{(3 x^3+x^4) \log (x)}} (-72 x^3-48 x^4-8 x^5) \log ^2(x)+e^{\frac {2}{(3 x^3+x^4) \log (x)}} (9 x^3+6 x^4+x^5) \log ^2(x)+(144 x^3+96 x^4+16 x^5) \log ^2(x)} \, dx\)
  3.7.85 \(\int e^{-1-e^x} (e^{1+e^x}-18 e^x+80 e^{2 x}-32 e^{3 x}) \, dx\)
  3.7.86 \(\int \frac {-3 x^2-6 x^3-9 \log ^2(5 e^{x+x^2})}{x^2+(6 x-6 x^2) \log (5 e^{x+x^2})+(9-18 x+9 x^2) \log ^2(5 e^{x+x^2})} \, dx\)
  3.7.87 \(\int \frac {-12+e^{3+2 x+x^2} (4 x^2+4 x^3)}{x^2} \, dx\)
  3.7.88 \(\int \frac {x^3+4 \log (3)+512 x^2 \log (x)}{x^3} \, dx\)
  3.7.89 \(\int \frac {e^{\frac {-8-8 x+3 x^2+x^3+(4+2 x-2 x^2) \log (2)}{-4-2 x+2 x^2}} (8+16 x-2 x^2-5 x^3+x^5)}{8+8 x-6 x^2-4 x^3+2 x^4} \, dx\)
  3.7.90 \(\int \frac {-24-4 x-4 x \log (x^2)+(-12 x+4 x^2+(-12+4 x) \log (x^2)) \log (\frac {6-2 x}{x+\log (x^2)})+(12 x-4 x^2+(12-4 x) \log (x^2)) \log ^2(\frac {6-2 x}{x+\log (x^2)})}{(-3 x+x^2+(-3+x) \log (x^2)) \log ^2(\frac {6-2 x}{x+\log (x^2)})} \, dx\)
  3.7.91 \(\int -\frac {18 x}{-1+9 x^2} \, dx\)
  3.7.92 \(\int \frac {(-14623232+5483712 x^2-1827904 x^3+171366 x^4) \log ^2(2)+x^2 \log (5)}{x^2} \, dx\)
  3.7.93 \(\int \frac {(2 e^{9-5 x+x^2}+4 x-2 x^2) \log (x)+(-2 x+e^{9-5 x+x^2} (-2-5 x+2 x^2)) \log ^2(x)}{x^3} \, dx\)
  3.7.94 \(\int \frac {8+(80-20 x) \log (\frac {324}{16-8 x+x^2})+(-4+21 x-5 x^2) \log ^2(\frac {324}{16-8 x+x^2})}{(-80+20 x) \log (\frac {324}{16-8 x+x^2})+(-20 x+5 x^2) \log ^2(\frac {324}{16-8 x+x^2})} \, dx\)
  3.7.95 \(\int \frac {-36 x^2-60 x^3-37 x^4-10 x^5-x^6+e^x (-12-8 x+6 x^2+8 x^3+2 x^4+e^2 (-12-8 x+5 x^2+5 x^3+x^4))}{36 x^2+60 x^3+37 x^4+10 x^5+x^6} \, dx\)
  3.7.96 \(\int \frac {-25-10 \log (3)-\log ^2(3)+(2426-3040 x+969 x^2-120 x^3+5 x^4+(10-40 x) \log (3)+(1-4 x) \log ^2(3)) \log (x)+(-25-10 \log (3)-\log ^2(3)) \log (x) \log (\log (x))}{(25+10 \log (3)+\log ^2(3)) \log (x)} \, dx\)
  3.7.97 \(\int \frac {-3 x+3 x^2-3 \log (x)+(-3 x^2-3 x \log (x)) \log (\log (x))+(3 x+(-3-3 x) \log (x)+3 \log ^2(x)+(-3 x+3 x \log (x)) \log (\log (x))) \log (-3 x+3 \log (x)+3 x \log (\log (x)))}{-x^3 \log ^2(x)+x^2 \log ^3(x)+x^3 \log ^2(x) \log (\log (x))+(-2 x^2 \log ^2(x)+2 x \log ^3(x)+2 x^2 \log ^2(x) \log (\log (x))) \log (-3 x+3 \log (x)+3 x \log (\log (x)))+(-x \log ^2(x)+\log ^3(x)+x \log ^2(x) \log (\log (x))) \log ^2(-3 x+3 \log (x)+3 x \log (\log (x)))} \, dx\)
  3.7.98 \(\int \frac {x^{\frac {x}{x^2+(25 x^2+10 x^3+11 x^4+2 x^5+x^6)^x \log (x)}} (5 x^2+x^3+x^4+(-5 x^2-x^3-x^4) \log (x)+(25 x^2+10 x^3+11 x^4+2 x^5+x^6)^x ((5-9 x-3 x^2-6 x^3) \log ^2(x)+(-5 x-x^2-x^3) \log ^2(x) \log (25 x^2+10 x^3+11 x^4+2 x^5+x^6)))}{5 x^4+x^5+x^6+(10 x^2+2 x^3+2 x^4) (25 x^2+10 x^3+11 x^4+2 x^5+x^6)^x \log (x)+(5+x+x^2) (25 x^2+10 x^3+11 x^4+2 x^5+x^6)^{2 x} \log ^2(x)} \, dx\)
  3.7.99 \(\int (4 x+24 x^2+26 x^3-30 x^4+6 x^5+e^{4-2 x} (2 x-2 x^2)+e^{2-x} (6 x+16 x^2-14 x^3+2 x^4)+(6 x+18 x^2-8 x^3+e^{2-x} (4 x-2 x^2)) \log (x)+2 x \log ^2(x)) \, dx\)
  3.7.100 \(\int \frac {(-8 x^2+2 x^3-2 x^4) \log (5) \log (\frac {1}{4} (-4 x+x^2-x^3))+(16-8 x+12 x^2+(-4 x^2+2 x^3-3 x^4) \log (5)) \log (-4+x^2 \log (5))+(8 x^2-2 x^3+2 x^4) \log (5) \log (\frac {1}{4} (-4 x+x^2-x^3)) \log (\log (\frac {1}{4} (-4 x+x^2-x^3)))}{(-16 x+4 x^2-4 x^3+(4 x^3-x^4+x^5) \log (5)) \log (\frac {1}{4} (-4 x+x^2-x^3)) \log ^2(-4+x^2 \log (5))} \, dx\)