3.33 Integrals 3201 to 3300

  3.33.1 \(\int \frac {-16-4 e^2+e (-16-8 x)-16 x-4 x^2+e^2 (10 x^2+2 e^2 x^2+8 x^3+2 x^4+e (9 x^2+4 x^3))+e^{2+x^2} (8 x^3+2 e^2 x^3+8 x^4+2 x^5+e (8 x^3+4 x^4))}{e^2 (4 x^2+e^2 x^2+4 x^3+x^4+e (4 x^2+2 x^3))} \, dx\)
  3.33.2 \(\int \frac {16+8 x+e^{5 x^2} (4+4 x-40 x^2-40 x^3)+(4+4 x) \log (\frac {1+2 x+x^2}{9 x^4})}{e^{10 x^2} (1+x)+e^{5 x^2} (2+2 x) \log (\frac {1+2 x+x^2}{9 x^4})+(1+x) \log ^2(\frac {1+2 x+x^2}{9 x^4})} \, dx\)
  3.33.3 \(\int 4 e^{\frac {1}{18} (-e^3-e^5)} \, dx\)
  3.33.4 \(\int \frac {e^{-e^x} (2 x^3-e^x x^4+e^{5+e^x+x^2+x \log ^2(x)} (4-8 x^2-8 x \log (x)-4 x \log ^2(x)))}{4 x^2} \, dx\)
  3.33.5 \(\int \frac {e^{-4+e^x} (16-16 x)+e^{-4+e^x} (e^x (16 x-16 x^2)+4 e^x x \log (-x^4)) \log (4-4 x+\log (-x^4))}{4 x-4 x^2+x \log (-x^4)} \, dx\)
  3.33.6 \(\int 3 e^{-18+3 x} \, dx\)
  3.33.7 \(\int \frac {e (3+3 x)}{25 e^3 x^2+10 e^4 x^2 \log (\frac {8 e^{\frac {1}{x}}}{x})+e^5 x^2 \log ^2(\frac {8 e^{\frac {1}{x}}}{x})} \, dx\)
  3.33.8 \(\int \frac {4 x^2+e^{\frac {-4 e^4-8 x+5 x^2}{4 x}} (-12 e^4-15 x^2)}{12 x^2} \, dx\)
  3.33.9 \(\int e^{4 x} (10 x+17 x^2-4 x^3) \log ^2(3) \, dx\)
  3.33.10 \(\int \frac {e^{\frac {3-27 x+e^{19/5} x}{-22+e^{19/5}}} (-27+e^{19/5})}{-22+e^{19/5}} \, dx\)
  3.33.11 \(\int \frac {e^{e^x x^2} (-1+e^x x^2 (2+x))+4 x^2 \log (\log (5))}{4 x^2 \log (\log (5))} \, dx\)
  3.33.12 \(\int \frac {64+e^{\frac {x^4}{256}} x^4}{32 x} \, dx\)
  3.33.13 \(\int (12+2 e^x-192 x) \, dx\)
  3.33.14 \(\int \frac {5+5 e^3 x+e^{36 e^4-24 e^2 x+4 x^2} (x+x^2-24 e^2 x^2+8 x^3)+5 x \log (x)}{5 e^3 x+e^{36 e^4-24 e^2 x+4 x^2} x^2+5 x \log (x)} \, dx\)
  3.33.15 \(\int \frac {5+5 x+5 x^2+5 x^3+(10 x-10 x^2) \log (x)}{(x+3 x^2+3 x^3+x^4) \log ^2(x)} \, dx\)
  3.33.16 \(\int \frac {e^5 (-4 x+2 x^2)}{45-90 x-135 x^2+180 x^3+180 x^4} \, dx\)
  3.33.17 \(\int \frac {e^{\frac {23 x+\log (4)}{e^2-x}} (-2 e^4 x+27 e^2 x^2-2 x^3+x^2 \log (4))}{e^4 x^4-2 e^2 x^5+x^6+e^{\frac {2 (23 x+\log (4))}{e^2-x}} (e^4-2 e^2 x+x^2)+e^{\frac {23 x+\log (4)}{e^2-x}} (-2 e^4 x^2+4 e^2 x^3-2 x^4)} \, dx\)
  3.33.18 \(\int \frac {4 \log (\frac {1}{x})+4 \log (\frac {1}{x}) \log (x)+2 \log (x) \log (e^2 \log (\frac {1}{x}))+(-\log (\frac {1}{x})-\log (\frac {1}{x}) \log (x)) \log ^2(e^2 \log (\frac {1}{x}))+(-4 \log (\frac {1}{x}) \log (x)+\log (\frac {1}{x}) \log (x) \log ^2(e^2 \log (\frac {1}{x}))) \log (4 x \log (x)-x \log (x) \log ^2(e^2 \log (\frac {1}{x})))}{(-4 \log (\frac {1}{x}) \log (x)+\log (\frac {1}{x}) \log (x) \log ^2(e^2 \log (\frac {1}{x}))) \log ^2(4 x \log (x)-x \log (x) \log ^2(e^2 \log (\frac {1}{x})))} \, dx\)
  3.33.19 \(\int \frac {7 e^4+e^{2 x} (6+12 x)+e^{2+x} (12+12 x)}{6 e^{2 x} x+12 e^{2+x} x+e^4 (22+7 x)} \, dx\)
  3.33.20 \(\int \frac {-5 e^x x^2 \log (5)+(-24-5 x^2) \log (5)+20 \log (5) \log (x)}{x^2+5 e^x x^2 \log (5)+(-4 x+15 x^2+5 x^3) \log (5)+20 x \log (5) \log (x)} \, dx\)
  3.33.21 \(\int \frac {4-2 x^2-2 e^x x^2+(2+e^x x+x^2) \log (\frac {8+4 e^x x+4 x^2}{x})+(-2-e^x x-x^2+e^{2+x} (-2-e^x x-x^2)) \log ^3(\frac {8+4 e^x x+4 x^2}{x})}{(2+e^x x+x^2) \log ^3(\frac {8+4 e^x x+4 x^2}{x})} \, dx\)
  3.33.22 \(\int \frac {-25-10 x-x^2+25 x^3+10 x^4+x^5+e^2 (-5-15 x^2+5 x^3)+(10+2 x-10 x^3-2 x^4) \log (-2+2 x^3)+(-1+x^3) \log ^2(-2+2 x^3)}{-25-10 x-x^2+25 x^3+10 x^4+x^5+(10+2 x-10 x^3-2 x^4) \log (-2+2 x^3)+(-1+x^3) \log ^2(-2+2 x^3)} \, dx\)
  3.33.23 \(\int \frac {1+x}{e^{10} x^3+2 e^{10} x^2 \log (x)+e^{10} x \log ^2(x)} \, dx\)
  3.33.24 \(\int \frac {e^{\frac {2 (121 x^2+36 e^4 x^2+36 e^8 x^2+22 x^3+x^4+e^2 (-132 x^2-12 x^3)+e^4 (132 x^2-72 e^2 x^2+12 x^3))}{4-8 x+4 x^2+e^2 (-4+8 x-4 x^2)+e^4 (1-2 x+x^2)+e^8 (1-2 x+x^2)+e^4 (4-8 x+4 x^2+e^2 (-2+4 x-2 x^2))}} (-484 x-144 e^4 x-144 e^8 x-132 x^2+36 x^3+4 x^4+e^2 (528 x+72 x^2-24 x^3)+e^4 (-528 x+288 e^2 x-72 x^2+24 x^3))}{-4+12 x-12 x^2+4 x^3+e^2 (4-12 x+12 x^2-4 x^3)+e^4 (-1+3 x-3 x^2+x^3)+e^8 (-1+3 x-3 x^2+x^3)+e^4 (-4+12 x-12 x^2+4 x^3+e^2 (2-6 x+6 x^2-2 x^3))} \, dx\)
  3.33.25 \(\int \frac {e^{-2-2 x^2} (-6-8 x^2+e^{6-x^2} (-30-20 x^2))}{x^4+25 e^{12-2 x^2} x^4+10 e^{6-x^2} x^4} \, dx\)
  3.33.26 \(\int \frac {-20+22 \log ^2(4)+(4-2 \log ^2(4)) \log (4+\log (5))}{-2+\log ^2(4)} \, dx\)
  3.33.27 \(\int \frac {32768-8192 x^2+1536 x^3-128 x^4-128 x^5+16 x^6-2 x^7+\frac {e^{25+\log ^2(2)} (2048-1536 x+384 x^2-64 x^3)}{1024}}{-16384 x^3-4096 x^4+3072 x^5+768 x^6-192 x^7-48 x^8+4 x^9+x^{10}+\frac {e^{50+2 \log ^2(2)} (-64 x^3+48 x^4-12 x^5+x^6)}{1048576}+\frac {e^{25+\log ^2(2)} (-2048 x^3+512 x^4+256 x^5-64 x^6-8 x^7+2 x^8)}{1024}} \, dx\)
  3.33.28 \(\int \frac {-2 x-e^5 x-x^2+e^x (-6 e^5 x^3-6 x^4)+e^{2 x} (-6 e^5 x^3-6 x^4)+(e^5+x+e^x (-18 e^5 x^2-18 x^3)+e^{2 x} (-18 e^5 x^2-18 x^3)) \log (e^5+x)+(e^x (-18 e^5 x-18 x^2)+e^{2 x} (-18 e^5 x-18 x^2)) \log ^2(e^5+x)+(e^x (-6 e^5-6 x)+e^{2 x} (-6 e^5-6 x)) \log ^3(e^5+x)}{e^5 x^3+x^4+(3 e^5 x^2+3 x^3) \log (e^5+x)+(3 e^5 x+3 x^2) \log ^2(e^5+x)+(e^5+x) \log ^3(e^5+x)} \, dx\)
  3.33.29 \(\int \frac {e^{4+x+x^2}+5 x-5 x^2-10 x^3+(2 e^{4+x+x^2}+10 x-5 x^2-10 x^3) \log (x)+e^{4+x+x^2} \log ^2(x)}{e^{4+x+x^2}+2 e^{4+x+x^2} \log (x)+e^{4+x+x^2} \log ^2(x)} \, dx\)
  3.33.30 \(\int \frac {3590-5760 x+3264 x^2-768 x^3+64 x^4+(-3600+3264 x^2-1536 x^3+192 x^4) \log (x)}{x^2} \, dx\)
  3.33.31 \(\int \frac {1}{\log (5)} \, dx\)
  3.33.32 \(\int \frac {4 e^{\frac {4+4 e^3}{e^3}}+4 x^2+4 \log (4)}{e^{\frac {2 (4+4 e^3)}{e^3}}-2 x^3+x^4+(2 x-2 x^2) \log (4)+\log ^2(4)+e^{\frac {4+4 e^3}{e^3}} (2 x-2 x^2+2 \log (4))} \, dx\)
  3.33.33 \(\int \frac {e^x (1+(1-x) \log (5))+e^x (1-x) \log (x)}{-e^x x \log (5)+x^2 \log ^2(5)+(-e^x x+2 x^2 \log (5)) \log (x)+x^2 \log ^2(x)} \, dx\)
  3.33.34 \(\int \frac {-6+8 x+(-16 x-8 x^2) \log (\frac {1}{4} (-3+4 x))+(6-8 x) \log ^2(\frac {1}{4} (-3+4 x))}{-3 x^2+4 x^3+(6 x^2-8 x^3) \log ^2(\frac {1}{4} (-3+4 x))+(-3 x^2+4 x^3) \log ^4(\frac {1}{4} (-3+4 x))} \, dx\)
  3.33.35 \(\int \frac {10+20 x+75 x^2-40 x^3+e^2 (5+10 x+75 x^2-20 x^3)+e^x (2+6 x+17 x^2-3 x^3-2 x^4+e^2 (1+3 x+16 x^2+x^3-x^4))}{2+e^2} \, dx\)
  3.33.36 \(\int \frac {-4050+(-180-90 x) \log ^2(2)+(48+88 x+60 x^2+18 x^3+2 x^4) \log ^4(2)}{(8+12 x+6 x^2+x^3) \log ^4(2)} \, dx\)
  3.33.37 \(\int \frac {-72-24 x-5 x^2-x^3+(6+2 x) \log (2)+(72+12 x+(-6-x) \log (2)) \log (6+x)}{6 x^2+x^3} \, dx\)
  3.33.38 \(\int \frac {1+2 x+2 x^2-4 e^{2 x^2} x^2-2 \log (x)}{x} \, dx\)
  3.33.39 \(\int \frac {9 x^2-15 x^3+9 x^4+(-6 x+13 x^2-9 x^3) \log (\frac {x^3}{-1+x})+(-2 x+2 x^2) \log ^2(\frac {x^3}{-1+x})}{(-2+2 x) \log ^2(5)} \, dx\)
  3.33.40 \(\int \frac {1}{2} (-3 e^{3 x}+e^x (2+x+\log (2))) \, dx\)
  3.33.41 \(\int (10-18 x-45 x^2-12 x^3+15 x^4+3 \log (\frac {5}{4})) \, dx\)
  3.33.42 \(\int \frac {-1260 x+143 x^2-4 x^3}{648-72 x+2 x^2} \, dx\)
  3.33.43 \(\int \frac {x^2-2 x^3+6 e^{3 x} x^3+e^{5 x} (-2+5 x)+e^x (2 x^4+x^5)}{x^3} \, dx\)
  3.33.44 \(\int -\frac {2}{5 x \log (2) \log ^2(4 x^2)} \, dx\)
  3.33.45 \(\int \frac {3 x^4+e^{\frac {9+6 x^2+x^4}{x^3}} (-27-27 x-6 x^2-6 x^3+x^5)}{x^4+2 x^5+x^6} \, dx\)
  3.33.46 \(\int \frac {1}{3} (8+6 x-27 x^2) \, dx\)
  3.33.47 \(\int \frac {1-36 x-3 x^2+e^x (-18-18 x-3 x^2)}{36+12 x+x^2+e (36+12 x+x^2)} \, dx\)
  3.33.48 \(\int \frac {e^{\frac {-12+4 x+(-5 x^2-5 e^x x^2-10 x^3) \log (e^{-x} x)}{-3+x}} (15 x+10 x^2-35 x^3+10 x^4+e^x (15 x-20 x^2+5 x^3)+(30 x+85 x^2-20 x^3+e^x (30 x+10 x^2-5 x^3)) \log (e^{-x} x))}{9-6 x+x^2} \, dx\)
  3.33.49 \(\int \frac {265 x+512 x^2+e^{-2+x} (-256 x-256 x^2)+(-9-512 x+e^{-2+x} (256+256 x)) \log (4 e^{2 x})+(-256 x+256 \log (4 e^{2 x})) \log (-x+\log (4 e^{2 x}))}{-256 x+256 \log (4 e^{2 x})} \, dx\)
  3.33.50 \(\int \frac {e^{5+x} (-9+24 x-16 x^2)+e^5 (9-24 x+16 x^2)+12 e^4 \log (2)}{e^5 (9-24 x+16 x^2)} \, dx\)
  3.33.51 \(\int \frac {-4+6 x-2 x^2+(2 x-x^2+x \log (x)) \log (24-12 x+12 \log (x))+(-4+4 x-x^2+(-2+x) \log (x)) \log (24-12 x+12 \log (x)) \log (\frac {1}{(-8+4 x) \log ^2(24-12 x+12 \log (x))})}{(-20 x^2+20 x^3-5 x^4+(-10 x^2+5 x^3) \log (x)) \log (24-12 x+12 \log (x))+(-40 x+40 x^2-10 x^3+(-20 x+10 x^2) \log (x)) \log (24-12 x+12 \log (x)) \log (\frac {1}{(-8+4 x) \log ^2(24-12 x+12 \log (x))})+(-20+20 x-5 x^2+(-10+5 x) \log (x)) \log (24-12 x+12 \log (x)) \log ^2(\frac {1}{(-8+4 x) \log ^2(24-12 x+12 \log (x))})} \, dx\)
  3.33.52 \(\int \frac {9 x^3+e^{\frac {2+x+2 x^2}{x}} (-2-x+2 x^2)+e^{\frac {2+x+2 x^2}{2 x}} (-6 x+6 x^3)}{4 x^3} \, dx\)
  3.33.53 \(\int \frac {-12-4 \log (x)+(3+\log (x))^x (-4+(-12-4 \log (x)) \log (3+\log (x)))}{3+3 x+(1+x) \log (x)+(3+\log (x))^{1+x}} \, dx\)
  3.33.54 \(\int \frac {1}{x} \, dx\)
  3.33.55 \(\int \frac {-1968+1760 x-560 x^2+1280 x^4-512 x^5+(-656+1024 x-1136 x^2+1024 x^3-256 x^4) \log (\log (4))}{75645 x^2-67650 x^3+34805 x^4+10880 x^5-7520 x^6+2560 x^7+1280 x^8+(50430 x^2-61910 x^3+43840 x^4-7360 x^5-2560 x^6+2560 x^7) \log (\log (4))+(8405 x^2-13120 x^3+11680 x^4-5120 x^5+1280 x^6) \log ^2(\log (4))} \, dx\)
  3.33.56 \(\int \frac {e^{\frac {x}{4+e^2}} \log (2)+(-4-e^2) \log (2)+(e^{\frac {x}{4+e^2}} (8+2 e^2)-8 x-2 e^2 x) \log ^2(e^{\frac {x}{4+e^2}}-x)}{(e^{\frac {x}{4+e^2}} (4+e^2)-4 x-e^2 x) \log ^2(e^{\frac {x}{4+e^2}}-x)} \, dx\)
  3.33.57 \(\int \frac {-11520+13248 x-1335 x^2-186 x^3-3 x^4+(81 x^2-144 x^3+82 x^4-16 x^5+x^6) \log (3)+(-6144+2880 x+204 x^2+(108 x^2-132 x^3+44 x^4-4 x^5) \log (3)) \log (x)+(-768+3 x^2+(54 x^2-40 x^3+6 x^4) \log (3)) \log ^2(x)+(12 x^2-4 x^3) \log (3) \log ^3(x)+x^2 \log (3) \log ^4(x)}{(81 x^2-144 x^3+82 x^4-16 x^5+x^6) \log (3)+(108 x^2-132 x^3+44 x^4-4 x^5) \log (3) \log (x)+(54 x^2-40 x^3+6 x^4) \log (3) \log ^2(x)+(12 x^2-4 x^3) \log (3) \log ^3(x)+x^2 \log (3) \log ^4(x)} \, dx\)
  3.33.58 \(\int \frac {(5-2 x) \log (x)+(-5+x) \log (-5 x+x^2)+(5 x-x^2+(-5 x+x^2) \log (x)) \log ^2(-5 x+x^2)+(-5 x+x^2+(-5 x+x^2) \log (x)) \log (x^2) \log ^2(-5 x+x^2)}{(-5 x+x^2) \log ^2(-5 x+x^2)} \, dx\)
  3.33.59 \(\int (-1+e^{e^4}-8 x) \, dx\)
  3.33.60 \(\int \frac {-85-80 x+(10+100 x) \log (x)+25 \log ^2(x)}{x+10 x \log (x)+25 x \log ^2(x)} \, dx\)
  3.33.61 \(\int \frac {3 e^{-x} x (9 x^2-9 x^3+e^{3 x} (-4+14 x-6 x^2)+e^{2 x} (16-46 x+42 x^2-9 x^3)+e^x (24 x-42 x^2+18 x^3))}{e^{4 x} x+9 x^3+e^{3 x} (-8 x+6 x^2)+e^x (24 x^2-18 x^3)+e^{2 x} (16 x-30 x^2+9 x^3)} \, dx\)
  3.33.62 \(\int e^{2+x-8 e^x x} (-8-8 x) \, dx\)
  3.33.63 \(\int \frac {e^{-1+12 x} (4-48 x)-x^2}{16 e^{-2+24 x}+8 e^{-1+12 x} x^2+x^4} \, dx\)
  3.33.64 \(\int \frac {(6-3 x) \log (-4+2 x)+(2-4 x+2 x^2) \log (\log (-4+2 x))}{(-6+15 x-12 x^2+3 x^3) \log (-4+2 x)} \, dx\)
  3.33.65 \(\int \frac {(-1-240 x-240 e^{16} x) \log (5 e^3)}{x^2+240 x^3+14400 x^4+14400 e^{32} x^4+e^{16} (240 x^3+28800 x^4)} \, dx\)
  3.33.66 \(\int \frac {1}{4} e^{-3+x} (-25-5 x+10 \log (4)) \, dx\)
  3.33.67 \(\int (-6 x+1156 e^{289 x^4} x^3) \, dx\)
  3.33.68 \(\int \frac {e^{-x} (3+(-9-3 x) \log (x))}{x^4} \, dx\)
  3.33.69 \(\int \frac {-36 x-72 x^2+72 x \log (x)}{196 x^2-196 x \log (x)+49 \log ^2(x)} \, dx\)
  3.33.70 \(\int \frac {(-12+2 x) \log (3)+\log (4)}{\log (4)} \, dx\)
  3.33.71 \(\int e^{-2 x-4 e^{e^x} x} (1+e^{2 x+4 e^{e^x} x}-2 x+e^{e^x} (-4 x-4 e^x x^2)) \, dx\)
  3.33.72 \(\int \frac {12 x^2+e^x (-60 x-48 x^2+12 x^3+e^{4/x} (-240-12 x+12 x^2))+(-60 x+12 x^2+e^{4/x} (-240-12 x+12 x^2)) \log (5-x)+(e^x (60 x-12 x^2)+(60 x-12 x^2) \log (5-x)) \log (e^x+\log (5-x))}{e^x (-5 x+x^2+e^{8/x} (-5 x+x^2)+e^{4/x} (-10 x+2 x^2))+(-5 x+x^2+e^{8/x} (-5 x+x^2)+e^{4/x} (-10 x+2 x^2)) \log (5-x)+(e^x (10 x-2 x^2+e^{4/x} (10 x-2 x^2))+(10 x-2 x^2+e^{4/x} (10 x-2 x^2)) \log (5-x)) \log (e^x+\log (5-x))+(e^x (-5 x+x^2)+(-5 x+x^2) \log (5-x)) \log ^2(e^x+\log (5-x))} \, dx\)
  3.33.73 \(\int \frac {8-240 x^2+7800 x^4-64000 x^6+390625 x^9+1600000 x^{10}-4875000 x^{12}+3750000 x^{14}-3125000 x^{16}}{390625 x^9} \, dx\)
  3.33.74 \(\int \frac {-10-10 x+(-10-10 x) \log (x)-10 x \log ^2(x)+e^{3 e^{-e^5}} (-20-20 x+(-20-20 x) \log (x)-20 x \log ^2(x))+e^{6 e^{-e^5}} (-10-10 x+(-10-10 x) \log (x)-10 x \log ^2(x))}{36+12 x^2+x^4+(24 x+4 x^3) \log (x)+(16 x^2+2 x^4) \log ^2(x)+4 x^3 \log ^3(x)+x^4 \log ^4(x)+e^{6 e^{-e^5}} (1+2 x^2+x^4+(4 x+4 x^3) \log (x)+(6 x^2+2 x^4) \log ^2(x)+4 x^3 \log ^3(x)+x^4 \log ^4(x))+e^{3 e^{-e^5}} (12+14 x^2+2 x^4+(28 x+8 x^3) \log (x)+(22 x^2+4 x^4) \log ^2(x)+8 x^3 \log ^3(x)+2 x^4 \log ^4(x))} \, dx\)
  3.33.75 \(\int \frac {e^4 (x^3+x^4)+e^{4+x^2} (2 x^2+2 x^3-2 x^4-2 x^5)+(e^{4+x^2} (1+x)+e^4 (x+x^2)) \log (1+x)+\log (3 x) (e^{4+x^2} x+e^4 x^2+(e^4 (-x-x^2)+e^{4+x^2} (-2 x^2-2 x^3)) \log (1+x))}{x^3+x^4+e^{2 x^2} (x+x^2)+e^{x^2} (2 x^2+2 x^3)} \, dx\)
  3.33.76 \(\int \frac {-3125-250 x-5 x^2+e^{3/x} (-1125+705 x+15 x^2)}{625+50 x+x^2} \, dx\)
  3.33.77 \(\int \frac {-140+88 x^2-16 x^3-12 x^4+(-40 x+8 x^3) \log (e^{7/x} (25-10 x^2+x^4))}{-45 x^2-30 x^3+4 x^4+6 x^5+x^6+(30 x+10 x^2-6 x^3-2 x^4) \log (e^{7/x} (25-10 x^2+x^4))+(-5+x^2) \log ^2(e^{7/x} (25-10 x^2+x^4))} \, dx\)
  3.33.78 \(\int \frac {e^x x^3+e^{\frac {i \pi -\log (\frac {16}{3})}{x}} (i \pi +x-\log (\frac {16}{3}))}{x^3} \, dx\)
  3.33.79 \(\int \frac {2 x-48 x^3+e (1-48 x^2)+e^{10+2 x} (1+2 x-48 x^2)}{e x+e^{10+2 x} x+x^2} \, dx\)
  3.33.80 \(\int \frac {e^{5 x} (-396+4 e^3+80 x-4 x^2)+e^{4 x} (-1584 x+1904 x^2-336 x^3+16 x^4+e^3 (16 x-16 x^2))+e^{3 x} (-48-2376 x^2+5232 x^3-3360 x^4+528 x^5-24 x^6+e^3 (24 x^2-48 x^3+24 x^4))+e^{2 x} (-32+64 x^2-1584 x^3+5072 x^4-5728 x^5+2592 x^6-368 x^7+16 x^8+e^3 (16 x^3-48 x^4+48 x^5-16 x^6))+e^x (-32 x+80 x^2-32 x^3-412 x^4+1664 x^5-2700 x^6+2080 x^7-740 x^8+96 x^9-4 x^{10}+e^3 (4 x^4-16 x^5+24 x^6-16 x^7+4 x^8))}{16+648 x^2-1440 x^3+7505 x^4-29320 x^5+51524 x^6-45720 x^7+21286 x^8-5080 x^9+636 x^{10}-40 x^{11}+x^{12}+e^6 (x^4-4 x^5+6 x^6-4 x^7+x^8)+e^3 (-8 x^2+16 x^3-170 x^4+684 x^5-1118 x^6+872 x^7-318 x^8+44 x^9-2 x^{10})+e^{4 x} (6561+e^6-2916 x+486 x^2-36 x^3+x^4+e^3 (-162+36 x-2 x^2))+e^{3 x} (26244 x-37908 x^2+13608 x^3-2088 x^4+148 x^5-4 x^6+e^6 (4 x-4 x^2)+e^3 (-648 x+792 x^2-152 x^3+8 x^4))+e^{2 x} (648-144 x+39374 x^2-96228 x^3+77274 x^4-23544 x^5+3354 x^6-228 x^7+6 x^8+e^6 (6 x^2-12 x^3+6 x^4)+e^3 (-8-972 x^2+2160 x^3-1416 x^4+240 x^5-12 x^6))+e^x (1296 x-1584 x^2+26548 x^3-90412 x^4+115668 x^5-67212 x^6+17932 x^7-2388 x^8+156 x^9-4 x^{10}+e^6 (4 x^3-12 x^4+12 x^5-4 x^6)+e^3 (-16 x+16 x^2-648 x^3+2088 x^4-2384 x^5+1104 x^6-168 x^7+8 x^8))} \, dx\)
  3.33.81 \(\int \frac {e^{3/x} (-3+x)-17 x+6 x^2+e^x (-12 x-12 x^2)+e^{2 x} (-2 x-4 x^2)}{x} \, dx\)
  3.33.82 \(\int \frac {-405-774 x+36 e^2 x-432 x^2-60 x^3+9 x^4+2 x^5}{450-60 x^2+2 x^4} \, dx\)
  3.33.83 \(\int \frac {20+24 x^2+16 x^3-4 x^4+(-2 x^2-8 x^3+2 x^4+(-10-40 x+10 x^2) \log (\frac {25 x^2}{4+32 x+56 x^2-32 x^3+4 x^4})) \log (\frac {1}{5} (x^2+5 \log (\frac {25 x^2}{4+32 x+56 x^2-32 x^3+4 x^4})))}{(-x^2-4 x^3+x^4+(-5-20 x+5 x^2) \log (\frac {25 x^2}{4+32 x+56 x^2-32 x^3+4 x^4})) \log ^2(\frac {1}{5} (x^2+5 \log (\frac {25 x^2}{4+32 x+56 x^2-32 x^3+4 x^4})))} \, dx\)
  3.33.84 \(\int \frac {-e^{\frac {4}{x^4}} x^5+e^{\frac {4}{x^4}} (-48-16 x) \log (6+2 x) \log (\log (6+2 x))}{(3 x^5+x^6) \log (6+2 x) \log ^2(\log (6+2 x))} \, dx\)
  3.33.85 \(\int \frac {1}{2} (-4+e^{e^3-x}+8 e^x) \, dx\)
  3.33.86 \(\int \frac {e^{e^{-2 x} x} (2+e^{3 x} (2-2 e^2)+e^{2 x} (-2+2 e^2)-3 x-2 x^2+e^x (-1+e^2 (1-2 x)+2 x)+e^2 (-x+2 x^2))}{e^{5 x} (-1+3 e^2-3 e^4+e^6)+e^{4 x} (6+e^2 (-12-9 x)+3 x-3 e^6 x+e^4 (6+9 x))+e^{3 x} (-12-12 x-3 x^2+3 e^6 x^2+e^4 (-12 x-9 x^2)+e^2 (12+24 x+9 x^2))+e^{2 x} (8+12 x+6 x^2+x^3-e^6 x^3+e^2 (-12 x-12 x^2-3 x^3)+e^4 (6 x^2+3 x^3))} \, dx\)
  3.33.87 \(\int \frac {e^{-x} (12-12 e^x-x+x^2+e^3 (13 x-3 x^2+x^3)+(1+e^3 x) \log (3)+(-13 x+3 x^2-x^3-x \log (3)) \log (x))}{4 x} \, dx\)
  3.33.88 \(\int \frac {25-7 x-18 x^2-27 x^3+18 x^4}{-9 x^2+9 x^3} \, dx\)
  3.33.89 \(\int \frac {e^{-x} (36+36 x-19 x^2+10 e^x x^2+x^3)}{5 x^2} \, dx\)
  3.33.90 \(\int \frac {4-x-x^2+\log (3)+e^x (4-6 x+x^2+(1-x) \log (3))+(-4+2 x-\log (3)) \log (x)}{32 x^2-16 x^3+2 x^4+(16 x^2-4 x^3) \log (3)+2 x^2 \log ^2(3)} \, dx\)
  3.33.91 \(\int \frac {1}{2} e^{2 x} (5+2 x+2 \log (2)) \, dx\)
  3.33.92 \(\int \frac {-92 e-56 e \log (\frac {x}{15})-8 e \log ^2(\frac {x}{15})}{16 x^3+8 x^3 \log (\frac {x}{15})+x^3 \log ^2(\frac {x}{15})} \, dx\)
  3.33.93 \(\int \frac {1-5 x}{x} \, dx\)
  3.33.94 \(\int \frac {x^2+e^{-e^{-4+4 x}+x^2} (4+16 e^{-4+4 x} x-8 x^2)}{x^2} \, dx\)
  3.33.95 \(\int \frac {(e^{2/x} (40-20 x)-10 x+(-2 x-4 e^{2/x} x) \log (\frac {x}{(x+2 e^{2/x} x)^5})) \log (\frac {1+\log (\frac {x}{(x+2 e^{2/x} x)^5})}{x})}{x^2+2 e^{2/x} x^2+(x^2+2 e^{2/x} x^2) \log (\frac {x}{(x+2 e^{2/x} x)^5})} \, dx\)
  3.33.96 \(\int \frac {2 e^{3 x} x-144 e^{2 x} x^2+(e^{2 x} (-432 x^2+216 x^3)+e^x (10368 x^3-1728 x^4)) \log (x)+e^x (20736 x^3-17280 x^4+2592 x^5) \log ^2(x)+(-20736 x^6+3456 x^7) \log ^3(x)}{e^{3 x}+36 e^{2 x} x^2 \log (x)+432 e^x x^4 \log ^2(x)+1728 x^6 \log ^3(x)} \, dx\)
  3.33.97 \(\int \frac {2}{x} \, dx\)
  3.33.98 \(\int \frac {-5+12 x+12 x^2-4 x^3+e^{4+x} (-20 x-4 x^2+2 x^3)}{e^4} \, dx\)
  3.33.99 \(\int \frac {-16 e^x x-16 e^x \log (x)+(e^x (-8-4 x+4 x^2)+e^x (4+4 x) \log (x)) \log (9 x^2)}{(x^3+3 x^2 \log (x)+3 x \log ^2(x)+\log ^3(x)) \log ^3(9 x^2)} \, dx\)
  3.33.100 \(\int e^{-2-e^5+e^x+x} (1+e^x) \, dx\)