3.2 Integrals 101 to 200

  3.2.1 \(\int \frac {6 e^4 x+24 e^3 x \log (3)+(64+36 e^2 x) \log ^2(3)+24 e x \log ^3(3)+6 x \log ^4(3)}{e^4+4 e^3 \log (3)+6 e^2 \log ^2(3)+4 e \log ^3(3)+\log ^4(3)} \, dx\)
  3.2.2 \(\int (3 x^2+e^{2 x} (3 x^2+2 x^3+e^2 (2 x+2 x^2))) \, dx\)
  3.2.3 \(\int \frac {-x^2+e^{\frac {729-9 x+2 x^2+x^3}{x}} (729-2 x^2-2 x^3)}{3 e^{\frac {2 (729-9 x+2 x^2+x^3)}{x}} x^2+6 e^{\frac {729-9 x+2 x^2+x^3}{x}} x^3+3 x^4} \, dx\)
  3.2.4 \(\int \frac {-9+7 x+27 x^2+e^{-x} (5 x-3 x^2)+(-6-2 x+18 x^2+e^{-x} (2 x-x^2)) \log (x)+(-1-2 x+3 x^2) \log ^2(x)}{9+6 \log (x)+\log ^2(x)} \, dx\)
  3.2.5 \(\int (3 e^{4+3 x} (5+4 e^2+2 e^4)+e^{2 x} (1+2 x)) \, dx\)
  3.2.6 \(\int \frac {1}{2} e^{3+x} (-12 x^2+x^4+e^4 (40 x+20 x^2)) \, dx\)
  3.2.7 \(\int \frac {e^6 (-162+198 x-90 x^2-18 x^3-6 x^4-10 x^5-18 x^6-4 x^7)+e^3 (18 x-18 x^2+6 x^4+4 x^5) \log (2)+(e^6 (-36+90 x+72 x^2+18 x^3+30 x^4+54 x^5+12 x^6)+e^3 (-18+18 x-18 x^3-12 x^4) \log (2)) \log (x)+(e^6 (-54 x-30 x^3-54 x^4-12 x^5)+e^3 (18 x^2+12 x^3) \log (2)) \log ^2(x)+(e^6 (-12 x+10 x^2+18 x^3+4 x^4)+e^3 (-6 x-4 x^2) \log (2)) \log ^3(x)}{-x^4+3 x^3 \log (x)-3 x^2 \log ^2(x)+x \log ^3(x)} \, dx\)
  3.2.8 \(\int \frac {-x+x^2+e^5 (-2+2 x)+(-x+x^2+e^5 (-2+2 x)) \log (x^2-2 x^3+x^4)+e^5 (-4+8 x) \log (\frac {1}{3} (1+\log (x^2-2 x^3+x^4)))}{-x+x^2+(-x+x^2) \log (x^2-2 x^3+x^4)} \, dx\)
  3.2.9 \(\int (7+e^3-2 x-180 x^3+45 x^4) \, dx\)
  3.2.10 \(\int \frac {-1062882+1023516 x+38880 x^2+484 x^3+2 x^4+e^{2 x} (-324+316 x+4 x^2)+(2125764+78732 x+972 x^2+4 x^3) \log (x)}{531441 x^3+19683 x^4+243 x^5+x^6} \, dx\)
  3.2.11 \(\int \frac {e^{\frac {4+x^2+e^4 (3 x-2 x^2)}{e^4 (4+x^2)}} (40-20 x-14 x^2-3 x^3+x^4)}{16+8 x^2+x^4} \, dx\)
  3.2.12 \(\int \frac {2 x+5 \log (4)}{x^2+5 x \log (4)} \, dx\)
  3.2.13 \(\int \frac {2+50 e^6 x^2+600 e^3 x^4+1350 x^6}{3 x+25 e^6 x^3+150 e^3 x^5+225 x^7+2 x \log (x)} \, dx\)
  3.2.14 \(\int \frac {(-5632-12288 x-6144 x^2) \log ^2(4)+e^{2 x} (-384 x^2-256 x^3) \log ^2(4)+e^x (3072 x+4608 x^2+1024 x^3) \log ^2(4)}{64000+211200 x+462720 x^2+668864 x^3+724224 x^4+581376 x^5+344064 x^6+144384 x^7+36864 x^8+4096 x^9+e^{6 x} x^9+e^x (-57600 x^2-165120 x^3-292416 x^4-336768 x^5-265728 x^6-144384 x^7-46080 x^8-6144 x^9)+e^{3 x} (-2880 x^5-6816 x^6-9024 x^7-5760 x^8-1280 x^9)+e^{5 x} (-36 x^8-24 x^9)+e^{4 x} (120 x^6+564 x^7+720 x^8+240 x^9)+e^{2 x} (4800 x^3+27840 x^4+59376 x^5+70272 x^6+54144 x^7+23040 x^8+3840 x^9)} \, dx\)
  3.2.15 \(\int e^{-x} (-144 x^3+36 x^4+e^x (15+24 x^2-6 x \log (7))) \, dx\)
  3.2.16 \(\int \frac {1-12 x-24 x^2}{(10 x-12 x^2-12 x^3+x \log (x)) \log (10-12 x-12 x^2+\log (x)) \log (\log (10-12 x-12 x^2+\log (x)))} \, dx\)
  3.2.17 \(\int \frac {e^{\frac {-x+(-2 x-x^3) \log (4)+(1+x^2 \log (4)) \log (2 x)}{(-5 x^2-x^3) \log (4)+(5 x+x^2) \log (4) \log (2 x)}} (-5 x^2-2 x^3+(10 x-8 x^2-4 x^3+5 x^4) \log (4)+(10 x+4 x^2+(2 x^2-10 x^3) \log (4)) \log (2 x)+(-5-2 x+5 x^2 \log (4)) \log ^2(2 x))}{(25 x^4+10 x^5+x^6) \log (4)+(-50 x^3-20 x^4-2 x^5) \log (4) \log (2 x)+(25 x^2+10 x^3+x^4) \log (4) \log ^2(2 x)} \, dx\)
  3.2.18 \(\int \frac {e^{-x} (-45-45 x+e^{-\frac {e^5 x}{5}} (5+5 x+e^5 x))}{5 x^2} \, dx\)
  3.2.19 \(\int \frac {-4+40 x \log (x)-2 x \log ^2(x)-x \log ^3(x)}{64 x \log (x)} \, dx\)
  3.2.20 \(\int \frac {324-432 e^x}{4624+144 e^8+144 e^{2 x}+e^x (-1632-288 e^4-216 x)+1224 x+81 x^2+e^4 (1632+216 x)} \, dx\)
  3.2.21 \(\int \frac {1}{3} (120+e^{5+\frac {x}{3}} (10-10 x)-60 x+e^x (-120-60 x+30 x^2)) \, dx\)
  3.2.22 \(\int \frac {e^{\frac {4+x^2-2 x^3-6 x^5}{x}} (-20+5 x^2-20 x^3-120 x^5)}{x^2} \, dx\)
  3.2.23 \(\int \frac {e^{6+\frac {1}{80} e^{6-\frac {2 (3-x^2)}{x}}-\frac {2 (3-x^2)}{x}} (3+x^2)}{40 x^2} \, dx\)
  3.2.24 \(\int \frac {-900+e^x (18000-900 x)}{-2500+e^x (2500-125 x)+125 x+(2500-125 x) \log (20-x)+(1500-75 x+e^x (-1500+75 x)+(-1500+75 x) \log (20-x)) \log (1-2 e^x+e^{2 x}+(-2+2 e^x) \log (20-x)+\log ^2(20-x))+(-300+e^x (300-15 x)+15 x+(300-15 x) \log (20-x)) \log ^2(1-2 e^x+e^{2 x}+(-2+2 e^x) \log (20-x)+\log ^2(20-x))+(20+e^x (-20+x)-x+(-20+x) \log (20-x)) \log ^3(1-2 e^x+e^{2 x}+(-2+2 e^x) \log (20-x)+\log ^2(20-x))} \, dx\)
  3.2.25 \(\int \frac {-32400000000+10800000000 x^2+60 e^{16} x^4}{e^{16} x^7} \, dx\)
  3.2.26 \(\int \frac {-e^e x^2+8 x^3-4 \log ^2(\log (2))}{4 x^2} \, dx\)
  3.2.27 \(\int \frac {(-16+4 x+(4+4 x) \log (5+5 x)) \log (\log (3))}{e^5 (-100-75 x+25 x^2) \log (5+5 x)+e^5 (-40-30 x+10 x^2) \log (5+5 x) \log (\frac {2}{(-4+x) \log (5+5 x)})+e^5 (-4-3 x+x^2) \log (5+5 x) \log ^2(\frac {2}{(-4+x) \log (5+5 x)})} \, dx\)
  3.2.28 \(\int \frac {497-139 x^2+10 x^4+e^x (245+245 x-70 x^2-70 x^3+5 x^4+5 x^5)}{49-14 x^2+x^4} \, dx\)
  3.2.29 \(\int \frac {4-4 x^2+6 x^3-8 x^5+e^x (-x^3+x^4+x^5-x^6)+(-x^3+x^5) \log (-x+x^3)}{-x^5+x^7} \, dx\)
  3.2.30 \(\int \frac {e^x (4+x)+(3 e^x+e^x (12+3 x) \log (4+x)) \log (2 \log (5))}{4+x} \, dx\)
  3.2.31 \(\int e^{-e^4 x-e^4 \log (2)} (4+e^{e^4 x+e^4 \log (2)} (-3+e^{-2+x} (-1-x))-4 e^4 x) \, dx\)
  3.2.32 \(\int \frac {e^{-2 x} (-14 x+16 x^2-2 x^3+8 x \log (7-x)+(-28+60 x-8 x^2) \log ^2(7-x))}{81 (-7+x)} \, dx\)
  3.2.33 \(\int \frac {10 e^x x^2+e^{\frac {-1-e+2 e^5 x+2 x^2}{2 x}} (1+e+2 x^2)}{10 x^2} \, dx\)
  3.2.34 \(\int \frac {-27-27 x-9 x^2-x^3+e^{\frac {35+27 x+5 x^2+x^3}{9+6 x+x^2}} (11+3 x+9 x^2+x^3)}{27+27 x+9 x^2+x^3} \, dx\)
  3.2.35 \(\int \frac {-10+x^2+e^{5 x} (-1+5 x)+e^x (4-4 x+x^2)-5 \log (4)}{x^2} \, dx\)
  3.2.36 \(\int \frac {450 x-360 x^2+9 x^3-24 x^4-2 x^5+e^x (-450+360 x+15 x^3+2 x^4)+(-225 x^2+360 x^3-114 x^4-24 x^5-x^6+e^x (225 x-360 x^2+114 x^3+24 x^4+x^5)+(-9 e^x x^3+9 x^4) \log (-e^x+x)) \log ^2(\frac {225-360 x+114 x^2+24 x^3+x^4-9 x^2 \log (-e^x+x)}{9 x^2})}{(225 x^2-360 x^3+114 x^4+24 x^5+x^6+e^x (-225 x+360 x^2-114 x^3-24 x^4-x^5)+(9 e^x x^3-9 x^4) \log (-e^x+x)) \log ^2(\frac {225-360 x+114 x^2+24 x^3+x^4-9 x^2 \log (-e^x+x)}{9 x^2})} \, dx\)
  3.2.37 \(\int \frac {(e^{\frac {x^3}{2+x}} (48 x^2+16 x^3) \log (\log (2))+(-128-128 x-32 x^2) \log ^2(\log (2))) \log (\log (4))}{e^{\frac {2 x^3}{2+x}} (4+4 x+x^2)+e^{\frac {x^3}{2+x}} (-32 x-32 x^2-8 x^3) \log (\log (2))+(64 x^2+64 x^3+16 x^4) \log ^2(\log (2))} \, dx\)
  3.2.38 \(\int \frac {-1+4 x+(1+x-2 x^2) \log (5 x)}{-2+x \log (5 x)} \, dx\)
  3.2.39 \(\int \frac {-2-2 x-6 x^3-16 x^4-10 x^5+e^x (-1-3 x^3-8 x^4-5 x^5)+(-2 x-e^x x) \log (\frac {16 x}{25})}{2 x+e^x x} \, dx\)
  3.2.40 \(\int \frac {e^{\frac {1}{9} (144-96 x+160 x^2-96 x^3+16 x^4+(72-24 x+72 x^2-24 x^3) \log (7-x^2)+(9+9 x^2) \log ^2(7-x^2))} (672-2096 x+1872 x^2+16 x^3-336 x^4+64 x^5+(168-972 x+480 x^2+180 x^3-72 x^4) \log (7-x^2)+(-126 x+18 x^3) \log ^2(7-x^2))}{-63+9 x^2} \, dx\)
  3.2.41 \(\int \frac {1}{2} (-1+e^{e+\frac {1}{2} e^e (10 x+5 x^2)} (5+5 x)) \, dx\)
  3.2.42 \(\int \frac {8 x+4 x \log (\frac {5}{x^2})+(-8+e^{x/4} x) \log ^2(\frac {5}{x^2})+8 \log ^2(\frac {5}{x^2}) \log (\frac {x}{3})}{4 x^2 \log (\frac {5}{x^2})+(4 x+4 e^{x/4} x) \log ^2(\frac {5}{x^2})-8 x \log ^2(\frac {5}{x^2}) \log (\frac {x}{3})+4 x \log ^2(\frac {5}{x^2}) \log ^2(\frac {x}{3})} \, dx\)
  3.2.43 \(\int \frac {-2 x^2+(-4 x-2 x^2+2 x^3) \log (2-x)+((-8 x^2+4 x^3) \log (2-x)+(-8 x+4 x^2) \log (2-x) \log (\frac {x}{\log (2-x)})) \log (x+\log (\frac {x}{\log (2-x)}))}{(-2 x+x^2) \log (2-x)+(-2+x) \log (2-x) \log (\frac {x}{\log (2-x)})} \, dx\)
  3.2.44 \(\int \frac {12 e^{-\frac {12}{-2+x}}}{4-4 x+x^2} \, dx\)
  3.2.45 \(\int (2+2^{2 e^x x} e^x (2+2 x) \log (2)+2^{e^x x} e^x (8+8 x) \log (2)) \, dx\)
  3.2.46 \(\int -\frac {e^{\frac {5+(5-\log ^2(9)) \log (x)}{-5+\log ^2(9)}}}{x} \, dx\)
  3.2.47 \(\int \frac {18+9 x-4 x^2+4 x^3-x^4+(9 x-3 x^2) \log (\frac {e^x (-9+3 x)}{x^2})}{-3 x-5 x^2-x^3+x^4} \, dx\)
  3.2.48 \(\int \frac {-\frac {22500 e^8}{x}-22500 e^{20} x^3+22500 e^{20} x^3 \log (x)-900 e^{10} x \log ^2(x)+900 e^{10} x \log ^3(x)+\log ^5(x)+\frac {e^6 (-90000 e^5 x^3+22500 e^5 x^3 \log (x))}{x^3}+\frac {e^4 (-135000 e^{10} x^3+67500 e^{10} x^3 \log (x)-900 x \log ^2(x))}{x^2}+\frac {e^2 (-90000 e^{15} x^3+67500 e^{15} x^3 \log (x)-1800 e^5 x \log ^2(x)+900 e^5 x \log ^3(x))}{x}}{\log ^5(x)} \, dx\)
  3.2.49 \(\int \frac {e^{\frac {9}{e^{10} \log ^2(e^5+x)}} (-18-18 \log (3))}{(e^{15}+e^{10} x) \log ^3(e^5+x)} \, dx\)
  3.2.50 \(\int \frac {e^{-\frac {2 x^2}{36+4 e^2+e (24-8 x)-24 x+4 x^2}} (1350+50 e^3+e^2 (450-150 x)-1350 x+300 x^2-50 x^3+e (1350-900 x+100 x^2))}{27+e^3+e^2 (9-3 x)-27 x+9 x^2-x^3+e (27-18 x+3 x^2)} \, dx\)
  3.2.51 \(\int \frac {e^{-\log ^2(x)} (25-48 x+42 x^2-16 x^3+5 x^4+(-50+48 x-28 x^2+8 x^3-2 x^4) \log (x))}{4 \log (3)} \, dx\)
  3.2.52 \(\int \frac {e^{\frac {4 x^3}{11 x-2 e^2 x-2 x^2+2 \log (x)}} (-8 x^2+88 x^3-16 e^2 x^3-8 x^4+24 x^2 \log (x))}{121 x^2+4 e^4 x^2-44 x^3+4 x^4+e^2 (-44 x^2+8 x^3)+(44 x-8 e^2 x-8 x^2) \log (x)+4 \log ^2(x)} \, dx\)
  3.2.53 \(\int \frac {-40 x^3+8 x^4+(-60 x^2-120 x^3+12 x^4+e (-20 x^6+4 x^7)) \log (5+10 x-x^2)+e (-30 x^5-60 x^6+6 x^7) \log ^2(5+10 x-x^2)}{e (-5-10 x+x^2)} \, dx\)
  3.2.54 \(\int \frac {e^{x+x^2} (4 x+2 x^3-4 x^4+e^x (-2 x-x^2+2 x^4)+(-1-x-x^2+2 x^3) \log (4))}{1-2 x+x^2} \, dx\)
  3.2.55 \(\int \frac {1+e^x (1-x)+e^{5+x} (-2+x)}{5 e^{10+2 x}-10 e^{5+x} x+5 x^2} \, dx\)
  3.2.56 \(\int \frac {10602576-29160 x-2916 x^2+23328 \log (\log (12))+2916 \log ^2(\log (12))}{1-1454 x+528531 x^2-1454 x^3+x^4+(-4+2904 x+2904 x^2-4 x^3) \log (\log (12))+(6-1446 x+6 x^2) \log ^2(\log (12))+(-4-4 x) \log ^3(\log (12))+\log ^4(\log (12))} \, dx\)
  3.2.57 \(\int \frac {(-20+14 x-2 x^2+25 x^4-5 x^5+e^{2 x} (15 x^2+7 x^3-2 x^4)+e^x (40 x^3+2 x^4-2 x^5)+(-5+x) \log (4)) \log (x)+(-4+x+e^{2 x} x^2+2 e^x x^3+x^4-\log (4)+(4 x-x^2-e^{2 x} x^3-2 e^x x^4-x^5+x \log (4)) \log (x)) \log (-4 x+x^2+e^{2 x} x^3+2 e^x x^4+x^5-x \log (4))+(-4+2 x+5 x^4+e^{2 x} (3 x^2+2 x^3)+e^x (8 x^3+2 x^4)-\log (4)) \log (x) \log (\log (x))}{(-4 x+x^2+e^{2 x} x^3+2 e^x x^4+x^5-x \log (4)) \log (x)} \, dx\)
  3.2.58 \(\int \frac {-12+2 x^3+e^x (-8 x+8 x^2+2 x^3+e^4 (-2 x+2 x^2))}{x^3} \, dx\)
  3.2.59 \(\int \frac {(-120 x^2+240 x^3-40 x^4+e (24-24 x^2-16 x^3)) \log (2)}{225 x^2-150 x^3+25 x^4+e^2 (1+2 x+x^2)+e (-30 x-20 x^2+10 x^3)} \, dx\)
  3.2.60 \(\int \frac {e^{\frac {2 (3 x-3 x^3+(x-x^3) \log (4) \log (x^2))}{8+3 x+x \log (4) \log (x^2)}} (48-144 x^2-36 x^3+(32-32 x^2) \log (4)+(16-48 x^2-24 x^3) \log (4) \log (x^2)-4 x^3 \log ^2(4) \log ^2(x^2))}{64+48 x+9 x^2+(16 x+6 x^2) \log (4) \log (x^2)+x^2 \log ^2(4) \log ^2(x^2)} \, dx\)
  3.2.61 \(\int \frac {e^{e^{2 x^2}} (16+8 x-7 x^2-2 x^3+x^4)^{e^{e^{2 x^2}}} (-2+4 x+e^{2 x^2} (-16 x-4 x^2+4 x^3) \log (16+8 x-7 x^2-2 x^3+x^4))}{-4-x+x^2} \, dx\)
  3.2.62 \(\int (1+e^x (4800 x+2400 x^2) \log (5)+(3+7200 x^2) \log (5)) \, dx\)
  3.2.63 \(\int \frac {e^{-2 x} (-100-240 x-40 x^2)}{25 x^2+10 x^3+x^4} \, dx\)
  3.2.64 \(\int \frac {-18 x^4-24 x^5-8 x^6+e^{10} (-18-24 x-8 x^2)+e^5 (36 x^2+48 x^3+16 x^4)+(e^{10} (-18-12 x)+108 x^4+156 x^5+56 x^6+e^5 (-90 x^2-144 x^3-56 x^4)) \log (x)+(-180 x^4-360 x^5-160 x^6+e^5 (120 x^3+80 x^4)) \log ^2(x)+(450 x^4+900 x^5+400 x^6) \log ^3(x)}{25 x^3 \log ^3(x)} \, dx\)
  3.2.65 \(\int \frac {7+10 x+2 e^x x+6 x^2+(10 x+12 x^2+e^x (2 x+2 x^2)) \log (x)}{12 x} \, dx\)
  3.2.66 \(\int \frac {-15-258 x-79 x^2+40 x^3+12 x^4+e^x (-45-30 x-5 x^2)}{45+30 x+5 x^2} \, dx\)
  3.2.67 \(\int \frac {-1024+13760 x^2-75025 x^4+193500 x^6-202500 x^8+e^{x+\frac {25 e^x x^2}{32-215 x^2+450 x^4}} (1600 x+800 x^2-5375 x^4-22500 x^5+11250 x^6)}{1024-13760 x^2+75025 x^4-193500 x^6+202500 x^8} \, dx\)
  3.2.68 \(\int \frac {(-2+(4+2 x) \log (4 x)+2 x \log (4 x) \log (\frac {e^{-x} \log (4 x)}{x^2})) \log (-2+x-\log (\log (\frac {e^{-x} \log (4 x)}{x^2})))}{(2 x-x^2) \log (4 x) \log (\frac {e^{-x} \log (4 x)}{x^2})+x \log (4 x) \log (\frac {e^{-x} \log (4 x)}{x^2}) \log (\log (\frac {e^{-x} \log (4 x)}{x^2}))} \, dx\)
  3.2.69 \(\int \frac {384 x^2+288 x^3+112 x^4-84 x^5+40 x^6+10 x^7}{128+96 x+24 x^2+2 x^3+(64+48 x+12 x^2+x^3) \log (3)} \, dx\)
  3.2.70 \(\int \frac {57460436295776367187500 x^{15}+148439460430755615234375 x^{15} \log (\frac {x^2}{4})+167592939196014404296875 x^{15} \log ^2(\frac {x^2}{4})+108004338592987060546875 x^{15} \log ^3(\frac {x^2}{4})+43450021273040771484375 x^{15} \log ^4(\frac {x^2}{4})+11172862613067626953125 x^{15} \log ^5(\frac {x^2}{4})+1793175481109619140625 x^{15} \log ^6(\frac {x^2}{4})+164210208892822265625 x^{15} \log ^7(\frac {x^2}{4})+6568408355712890625 x^{15} \log ^8(\frac {x^2}{4})}{295147905179352825856} \, dx\)
  3.2.71 \(\int \frac {-30+384 e^4-165 x-80 x^2}{-25+384 e^4-5 x-80 x^2} \, dx\)
  3.2.72 \(\int -\frac {2400 e^{\frac {400-20 x^6}{x^6}}}{x^7} \, dx\)
  3.2.73 \(\int \frac {-8+e^{2+\frac {4-8 x+4 x^2}{4-4 x+x^2}} (8-8 x)+12 x-6 x^2+x^3}{-8+12 x-6 x^2+x^3} \, dx\)
  3.2.74 \(\int \frac {e^{\frac {e^{e^x}-e^x-2 x-x^2+x^2 \log (\log (x))}{x}} (x^2+e^{e^x} (-1+e^x x) \log (x)+(e^x (1-x)-x^2) \log (x)+x^2 \log (x) \log (\log (x)))}{x^2 \log (x)} \, dx\)
  3.2.75 \(\int \frac {e^{-e^3+4 e^4-4 x} (-e^{e^3-4 e^4+4 x}-60 e^{3+x} x)}{x} \, dx\)
  3.2.76 \(\int \frac {e^{3-e^{e^{-\frac {4}{\log (x)}} (x+e^{\frac {4}{\log (x)}} (65536+512 x+x^2))}+e^{-\frac {4}{\log (x)}} (x+e^{\frac {4}{\log (x)}} (65536+512 x+x^2))-\frac {4}{\log (x)}} (-4-\log ^2(x)+e^{\frac {4}{\log (x)}} (-512-2 x) \log ^2(x))}{\log ^2(x)} \, dx\)
  3.2.77 \(\int (e^{32 x^4-64 e^{-2+x} x^4+48 e^{-4+2 x} x^4-16 e^{-6+3 x} x^4+2 e^{-8+4 x} x^4} (128 x^3+e^{-2+x} (-256 x^3-64 x^4)+e^{-6+3 x} (-64 x^3-48 x^4)+e^{-8+4 x} (8 x^3+8 x^4)+e^{-4+2 x} (192 x^3+96 x^4))+e^{16 x^4-32 e^{-2+x} x^4+24 e^{-4+2 x} x^4-8 e^{-6+3 x} x^4+e^{-8+4 x} x^4} (2048 x^3-128 x^3 \log (2)+e^{-4+2 x} (3072 x^3+1536 x^4+(-192 x^3-96 x^4) \log (2))+e^{-8+4 x} (128 x^3+128 x^4+(-8 x^3-8 x^4) \log (2))+e^{-6+3 x} (-1024 x^3-768 x^4+(64 x^3+48 x^4) \log (2))+e^{-2+x} (-4096 x^3-1024 x^4+(256 x^3+64 x^4) \log (2)))) \, dx\)
  3.2.78 \(\int \frac {1}{2} e^{e^{\frac {2-x}{2}}-e^{2 x^3+2 e^x x^3+2 x^3 \log (x)}} (-e^{\frac {2-x}{2}}+e^{2 x^3+2 e^x x^3+2 x^3 \log (x)} (-16 x^2+e^x (-12 x^2-4 x^3)-12 x^2 \log (x))) \, dx\)
  3.2.79 \(\int \frac {2 x^2-4 x^5+(-2 x^2+4 x^4) \log (x)+(2-4 x^3+(-2+4 x^2) \log (x)) \log (\frac {-3 e^5 x+3 e^5 \log (x)}{2 x})}{-x^2+x \log (x)} \, dx\)
  3.2.80 \(\int 4 x \, dx\)
  3.2.81 \(\int -\frac {1}{e^{253} x \log ^2(x)} \, dx\)
  3.2.82 \(\int \frac {-32 x^7-12 x^8+16 x^9+e^2 (144 x^3+576 x^5+576 x^7)+e (240 x^4+72 x^5+192 x^6+96 x^7-192 x^8)}{x^6+e^2 (9+36 x^2+36 x^4)+e (-6 x^3-12 x^5)} \, dx\)
  3.2.83 \(\int \frac {e^{\frac {16-8 x+7 x^3+x^6+(8 x+2 x^4) \log (\frac {16 x}{3})+x^2 \log ^2(\frac {16 x}{3})}{x^2}} (-32+16 x+7 x^3+2 x^4+4 x^6+(-8 x+2 x^2+4 x^4) \log (\frac {16 x}{3}))}{x^3} \, dx\)
  3.2.84 \(\int \frac {-60+90 x-x^3+2 e^{2 x} x^3+2 x^4+e^x (-2 x^3-2 x^4)+(-30 x+2 x^2-4 e^{2 x} x^2-4 x^3+e^x (4 x^2+4 x^3)) \log (x)+(-x+2 e^{2 x} x+2 x^2+e^x (-2 x-2 x^2)) \log ^2(x)}{x^3-2 x^2 \log (x)+x \log ^2(x)} \, dx\)
  3.2.85 \(\int \frac {-90-60 x-10 x^2+(-405-270 x-120 x^2) \log (4)+e^x (-225+75 x+75 x^2) \log (4)}{54 x^2+36 x^3+6 x^4} \, dx\)
  3.2.86 \(\int \frac {-16 x^7+8 x^8-4 x^{11}+(112 x^6-56 x^7+40 x^{10}) \log (x^2 \log (3))+(-336 x^5+168 x^6-180 x^9) \log ^2(x^2 \log (3))+(560 x^4-280 x^5+480 x^8) \log ^3(x^2 \log (3))+(-560 x^3+280 x^4-840 x^7) \log ^4(x^2 \log (3))+(336 x^2-168 x^3+1008 x^6) \log ^5(x^2 \log (3))+(-112 x+56 x^2-840 x^5) \log ^6(x^2 \log (3))+(16-8 x+480 x^4) \log ^7(x^2 \log (3))-180 x^3 \log ^8(x^2 \log (3))+40 x^2 \log ^9(x^2 \log (3))-4 x \log ^{10}(x^2 \log (3))}{x+5 x^4+10 x^7+10 x^{10}+5 x^{13}+x^{16}+(-10 x^3-40 x^6-60 x^9-40 x^{12}-10 x^{15}) \log (x^2 \log (3))+(5 x^2+60 x^5+150 x^8+140 x^{11}+45 x^{14}) \log ^2(x^2 \log (3))+(-40 x^4-200 x^7-280 x^{10}-120 x^{13}) \log ^3(x^2 \log (3))+(10 x^3+150 x^6+350 x^9+210 x^{12}) \log ^4(x^2 \log (3))+(-60 x^5-280 x^8-252 x^{11}) \log ^5(x^2 \log (3))+(10 x^4+140 x^7+210 x^{10}) \log ^6(x^2 \log (3))+(-40 x^6-120 x^9) \log ^7(x^2 \log (3))+(5 x^5+45 x^8) \log ^8(x^2 \log (3))-10 x^7 \log ^9(x^2 \log (3))+x^6 \log ^{10}(x^2 \log (3))} \, dx\)
  3.2.87 \(\int \frac {9-15 x-6 x^2+e^{x-(3+x)^x} (1-2 x) (6+14 x+4 x^2+(3+x)^x (2 x-4 x^2+(6-10 x-4 x^2) \log (3+x)))}{-3+5 x+2 x^2} \, dx\)
  3.2.88 \(\int \frac {2 e^{-x} (2-x) \sqrt {e^{2+x} x^2}}{x} \, dx\)
  3.2.89 \(\int \frac {12 x-18 x^2+e^2 (3-6 x+3 x^2)}{e^2 (25 x^4-50 x^5+25 x^6)} \, dx\)
  3.2.90 \(\int \frac {e^{-\frac {2500+e^6 x^2-500 x^3+25 x^6+e^3 (100 x-10 x^4)}{25 x^3}} (15000+2 e^6 x^2-150 x^6+e^3 (400 x+20 x^4))}{25 x^4} \, dx\)
  3.2.91 \(\int \frac {e^{e^x+x}}{16} \, dx\)
  3.2.92 \(\int (1+e^{e^x+e^{\frac {1}{4} (1+8 x)}} (e^x+2 e^{\frac {1}{4} (1+8 x)})+\log (x)) \, dx\)
  3.2.93 \(\int (1-e^{29+e^{e^{25+x}}+e^{25+x}+x}) \, dx\)
  3.2.94 \(\int \frac {2 e^{\frac {x^2}{\log (2)}} x^2-4 \log (2)}{x \log (2)} \, dx\)
  3.2.95 \(\int \frac {-20+6 x+6 \log (3)}{(-20 x+4 x^2+6 x \log (3)) \log (\frac {1}{2} (10 x^2-2 x^3-3 x^2 \log (3)))+(-10 x+2 x^2+3 x \log (3)) \log (\frac {1}{2} (10 x^2-2 x^3-3 x^2 \log (3))) \log (\log (\frac {1}{2} (10 x^2-2 x^3-3 x^2 \log (3))))} \, dx\)
  3.2.96 \(\int \frac {5^{e^{-3+x}} e^{-11+2 5^{e^{-3+x}} e^x (\frac {1}{12 x+4 x^2})^{e^{-3+x}}} (\frac {1}{12 x+4 x^2})^{e^{-3+x}} (e^{2 x} (-6-4 x)+e^{3+x} (6 x+2 x^2)+e^{2 x} (6 x+2 x^2) \log (\frac {5}{12 x+4 x^2}))}{3 x+x^2} \, dx\)
  3.2.97 \(\int \frac {108+54 x-2 x^3+e^x (-60+22 x-2 x^2)+(-12+2 x) \log (-6+x)+(37 x+6 x^2-2 x^3+e^x (-24 x+10 x^2-x^3)) \log (x^2)}{-6 x+x^2} \, dx\)
  3.2.98 \(\int \frac {e^{2 x} (-275+3050 x+700 x^2)}{25+140 x+196 x^2} \, dx\)
  3.2.99 \(\int e^{2 e^{6+x} x+e^6 (4 x^2-4 x^3)} (e^{6+x} (2+2 x)+e^6 (8 x-12 x^2)) \, dx\)
  3.2.100 \(\int \frac {e^{1+x} (10+2 x) \log (5)+e^{1+x} (8 x+2 x^2) \log (5) \log (x)}{e^{20} (25 x+10 x^2+x^3)} \, dx\)