3.12 Integrals 1101 to 1200

  3.12.1 \(\int \frac {6+e^{2 x}-125 e^9 \log ^2(4)+625 e^{18} \log ^4(4)+e^x (-5-x+50 e^9 \log ^2(4))}{9+e^{2 x}-150 e^9 \log ^2(4)+625 e^{18} \log ^4(4)+e^x (-6+50 e^9 \log ^2(4))} \, dx\)
  3.12.2 \(\int \frac {1+e^3+e^{5+e^2 x}}{e^3} \, dx\)
  3.12.3 \(\int \frac {-4-48 x-2 x^2-13 x^3-12 x^4}{x^3+12 x^4} \, dx\)
  3.12.4 \(\int \frac {12600 e^2+504 e^5+168 x-504 e^2 \log (5)}{e^4} \, dx\)
  3.12.5 \(\int (-1+e^x (14-4 x-8 \log (2)+\log ^2(2))) \, dx\)
  3.12.6 \(\int \frac {18-12 x+29 x^2}{54 x^2-36 x^3+6 x^4} \, dx\)
  3.12.7 \(\int \frac {6-12 x^3}{(x+3 x^2+x^4) \log (\frac {5 x}{1+3 x+x^3})} \, dx\)
  3.12.8 \(\int \frac {400+480 x-48 x^2+e^x (-80-80 x+16 x^2)}{125-50 x+5 x^2} \, dx\)
  3.12.9 \(\int \frac {-288-152 x+65 x^2+20 x^3-5 x^4+e^{x-x^2} (-64+96 x+76 x^2-20 x^3-9 x^4+2 x^5)}{64+32 x-12 x^2-4 x^3+x^4} \, dx\)
  3.12.10 \(\int \frac {e^x (-1-x)+5 x+10 x \log (x)}{e^{2 x} x^2-10 e^x x^3 \log (x)+25 x^4 \log ^2(x)} \, dx\)
  3.12.11 \(\int \frac {e^{1+x+x^2} (-1-x-x^2-2 x^3)+e^{1+x+x^2} (-x-2 x^2) \log (x)}{x \log (5)} \, dx\)
  3.12.12 \(\int \frac {450+4608 x+(-100-2688 x) \log (x^3)+(5+584 x) \log ^2(x^3)-56 x \log ^3(x^3)+2 x \log ^4(x^3)}{2304-1344 \log (x^3)+292 \log ^2(x^3)-28 \log ^3(x^3)+\log ^4(x^3)} \, dx\)
  3.12.13 \(\int \frac {e^{2 x} (-1+x)-x^2+x^3+e^x (-3 x+3 x^2)}{e^{2 x} x+2 e^x x^2+x^3} \, dx\)
  3.12.14 \(\int \frac {e^{-4 e^5} (-2 e^{4 e^5} x^2-\log (3))}{x^2 \log (5)} \, dx\)
  3.12.15 \(\int \frac {e^2 (5 x^2+4 x^3)+e^{e^6 x^2-2 e^3 x^3+x^4} (e^8 (50 x^2+80 x^3+32 x^4)+e^5 (-150 x^3-240 x^4-96 x^5)+e^2 (25+40 x+16 x^2+100 x^4+160 x^5+64 x^6))+e^2 (15 x^2+8 x^3) \log (x)}{25+40 x+16 x^2} \, dx\)
  3.12.16 \(\int \frac {4+4 \log (\frac {5 \log (3)}{e^2 x})+(-4-8 x) \log ^2(\frac {5 \log (3)}{e^2 x})+(-2-2 \log (\frac {5 \log (3)}{e^2 x})+(2+4 x) \log ^2(\frac {5 \log (3)}{e^2 x})) \log (\frac {x+(-x-x^2) \log (\frac {5 \log (3)}{e^2 x})}{\log (\frac {5 \log (3)}{e^2 x})})}{-x \log (\frac {5 \log (3)}{e^2 x})+(x+x^2) \log ^2(\frac {5 \log (3)}{e^2 x})} \, dx\)
  3.12.17 \(\int \frac {4 x-6 x^2+24 x^3+(-1+4 x) \log (\frac {1}{2} (-x+4 x^2))}{-1+4 x} \, dx\)
  3.12.18 \(\int \frac {-12-3 x-9 x^3-2 (i \pi +\log (4))}{9 x^3} \, dx\)
  3.12.19 \(\int \frac {-\frac {16 e^{2 x}}{x}-\frac {4 e^{e^x+2 x}}{x}+(32 e^{2 x} \log (x)+\frac {e^{e^x+2 x} (8 x^2+4 e^x x^2) \log (x)}{x^2}) \log (\log (x))+(\frac {e^{2 x} (4 x^2+8 x^3) \log (x)}{x^2}+\frac {e^{e^x+2 x} (x^2+2 x^3+e^x x^3) \log (x)}{x^2}) \log ^2(\log (x))}{\log (x) \log ^2(\log (x))} \, dx\)
  3.12.20 \(\int \frac {25}{4} e^{\frac {1}{4} (-36-100 e^3+25 x)} \, dx\)
  3.12.21 \(\int \frac {e^x ((-6 x^3+21 x^4-12 x^5-12 x^6+e^8 (-6 x-3 x^2)+e^4 (12 x^2-18 x^3-12 x^4)) \log (4)+(2 x^4-2 e^4 x^4-6 x^5-4 x^6) \log ^2(4))}{9 e^8+9 x^2-36 x^3+36 x^4+e^4 (-18 x+36 x^2)+(12 e^4 x^2-12 x^3+24 x^4) \log (4)+4 x^4 \log ^2(4)} \, dx\)
  3.12.22 \(\int \frac {e^{\frac {49+1134 x^7+6561 e^x x^{12}+6561 x^{13}+6561 x^{14}}{6561 x^{12}}} (-196-1890 x^7+2187 x^{13}+2187 e^x x^{13}+4374 x^{14})}{2187 x^{13}} \, dx\)
  3.12.23 \(\int \frac {4+(-4 x+2 e^5 x^3-6 e^8 x^5) \log (x)+(-2 e^5 x^2+6 e^8 x^4) \log (x) \log (\log (x))+(2 x \log (x)-2 \log (x) \log (\log (x))) \log (x^2-2 x \log (\log (x))+\log ^2(\log (x)))}{(-e^{10} x^5+2 e^{13} x^7-e^{16} x^9) \log (x)+(e^{10} x^4-2 e^{13} x^6+e^{16} x^8) \log (x) \log (\log (x))+((2 e^5 x^3-2 e^8 x^5) \log (x)+(-2 e^5 x^2+2 e^8 x^4) \log (x) \log (\log (x))) \log (x^2-2 x \log (\log (x))+\log ^2(\log (x)))+(-x \log (x)+\log (x) \log (\log (x))) \log ^2(x^2-2 x \log (\log (x))+\log ^2(\log (x)))} \, dx\)
  3.12.24 \(\int \frac {e^{2 e^6-4 e^3 x+2 x^2+2 (-2 e^3+2 x) \log (-2+x^2+\log (2-e^x))+2 \log ^2(-2+x^2+\log (2-e^x))} (16 x-16 x^2-8 x^3+e^3 (-16+16 x+8 x^2)+e^x (-4 x+8 x^2+4 x^3+e^3 (4-8 x-4 x^2))+(8 e^3-8 x+e^x (-4 e^3+4 x)) \log (2-e^x)+(16-16 x-8 x^2+e^x (-4+8 x+4 x^2)+(-8+4 e^x) \log (2-e^x)) \log (-2+x^2+\log (2-e^x)))}{4-2 x^2+e^x (-2+x^2)+(-2+e^x) \log (2-e^x)} \, dx\)
  3.12.25 \(\int \frac {e^{\frac {8-6 x+5 x^2-x^3-x^4+e^{4 e^{x^2} x} (4-5 x+x^2+x^3)}{e^{4 e^{x^2} x} (-4+x)+4 x-x^2}} (-32+16 x+14 x^2-8 x^3-11 x^4+2 x^5+e^{8 e^{x^2} x} (16-8 x-11 x^2+2 x^3)+e^{4 e^{x^2} x} (-32 x+16 x^2+22 x^3-4 x^4+e^{x^2} (128-64 x+264 x^2-128 x^3+16 x^4)))}{16 x^2-8 x^3+x^4+e^{8 e^{x^2} x} (16-8 x+x^2)+e^{4 e^{x^2} x} (-32 x+16 x^2-2 x^3)} \, dx\)
  3.12.26 \(\int \frac {2+6 x+3 e^3 (1+3 x)}{3+9 x} \, dx\)
  3.12.27 \(\int \frac {5160 x-7380 x^2+2200 x^3+100 x^4+e^{2 x} (20000+800 x)+e^x (10320+400 x-5000 x^2-200 x^3)+(2064-1920 x-80 x^2+e^x (4000+160 x)) \log (625+50 x+x^2)}{625+25 x} \, dx\)
  3.12.28 \(\int -\frac {180}{3+e^{5/4}} \, dx\)
  3.12.29 \(\int \frac {-2 x+x \log (x)+(2 e^x+8 x) \log ^3(x)+(2 x+2 e^x x) \log ^3(x) \log (10 x)}{x \log ^3(x)} \, dx\)
  3.12.30 \(\int \frac {(-40+50 x+15 x^2+(4+x) \log (\frac {5}{2})) \log (4+x)+(-10 x+5 x^2+x \log (\frac {5}{2})) \log (\frac {1}{25} (100 x-100 x^2+25 x^3+(-20 x+10 x^2) \log (\frac {5}{2})+x \log ^2(\frac {5}{2})))}{-40 x+10 x^2+5 x^3+(4 x+x^2) \log (\frac {5}{2})} \, dx\)
  3.12.31 \(\int (e^x (8+4 x)+e^x (-2-2 x) \log (x)) \, dx\)
  3.12.32 \(\int \frac {-2 x-10 x^2+2 e^{\log ^2(x)} \log (x)}{x} \, dx\)
  3.12.33 \(\int \frac {-41 x^2+40 x^3+e^x (41 x-32 x^2-8 x^3)+(50 x-58 x^2+e^x (-50+40 x+18 x^2)) \log (x)+(10 x-10 e^x x) \log ^2(x)+(-18 x^2+18 x^3+e^x (18 x-16 x^2-2 x^3)+(20 x-22 x^2+e^x (-20+18 x+4 x^2)) \log (x)+(2 x-2 e^x x) \log ^2(x)) \log (-e^x+x)+(-2 x^2+2 x^3+e^x (2 x-2 x^2)+(2 x-2 x^2+e^x (-2+2 x)) \log (x)) \log ^2(-e^x+x)}{e^x x-x^2} \, dx\)
  3.12.34 \(\int \frac {297+e^3+297 \log (2 x)}{e^3} \, dx\)
  3.12.35 \(\int \frac {64 \log ^2(1+e-\log (16))}{x \log (x)} \, dx\)
  3.12.36 \(\int \frac {-1-2 x \log (2 x)+\log (2 x) \log (\frac {5}{\log (4) \log (2 x)})}{192 e^6 \log (2 x)} \, dx\)
  3.12.37 \(\int \frac {e^{\frac {5 x-\log (\frac {1}{9} (-100+9 \log (\log (-2+x))))}{x}} (-9 e^4 x+(e^4 (200-100 x) \log (-2+x)+e^4 (-18+9 x) \log (-2+x) \log (\log (-2+x))) \log (\frac {1}{9} (-100+9 \log (\log (-2+x)))))}{(200 x^2-100 x^3) \log (-2+x)+(-18 x^2+9 x^3) \log (-2+x) \log (\log (-2+x))} \, dx\)
  3.12.38 \(\int \frac {3 e^{e^{3 x}+3 x}+e^5 (-24+24 x)}{e^5} \, dx\)
  3.12.39 \(\int \frac {6+x+3 \log (4 x^2)}{180+60 x+5 x^2} \, dx\)
  3.12.40 \(\int \frac {e^{4+9 x+x^2-x \log (4)-x \log (2-x)} (-18+4 x+2 x^2+(2-x) \log (4)+(2-x) \log (2-x))}{-2+x} \, dx\)
  3.12.41 \(\int \frac {(120+10 e^x-2 x+10 x^2+(2 x-10 e^x x-20 x^2) \log (x)+40 x \log ^2(x)) \log (\frac {-60-5 e^x+x-5 x^2+(120+20 x) \log (x)}{20 \log (x)})}{(-60 x-5 e^x x+x^2-5 x^3) \log (x)+(120 x+20 x^2) \log ^2(x)} \, dx\)
  3.12.42 \(\int \frac {50625+54000 x+20990 x^2+3560 x^3+225 x^4+e^4 (81+54 x+12 x^2)+e^2 (-4050-3510 x-1106 x^2-120 x^3)+(-16875-18000 x-7050 x^2-1200 x^3-75 x^4+e^4 (-27-18 x-3 x^2)+e^2 (1350+1170 x+330 x^2+30 x^3)) \log (x)}{16875 x^2+18000 x^3+7050 x^4+1200 x^5+75 x^6+e^4 (27 x^2+18 x^3+3 x^4)+e^2 (-1350 x^2-1170 x^3-330 x^4-30 x^5)} \, dx\)
  3.12.43 \(\int \frac {2-10 x^2+e^5 (1-5 x^2)}{(4 x-8 x^2+20 x^3) \log ^2(\frac {1-2 x+5 x^2}{x})} \, dx\)
  3.12.44 \(\int -\frac {1}{e^{e^2} (-1+e^4)+x-e^4 x} \, dx\)
  3.12.45 \(\int \frac {1}{2} (2+(2 e^2 x+e (-4 x+3 x^2)) \log (625)) \, dx\)
  3.12.46 \(\int \frac {-32+32 x-16 x^2-8 e^{3 x} x^2-e^{4 x} x^2+e^x (-16+16 x-32 x^2)+e^{2 x} (-4-24 x^2)}{16-32 x+16 x^2+8 e^{3 x} x^2+e^{4 x} x^2+e^{2 x} (-8 x+24 x^2)+e^x (-32 x+32 x^2)} \, dx\)
  3.12.47 \(\int \frac {(-x+2 x \log (x)+(1+e^x+2 x) \log ^2(x)) \sqrt {\frac {x^4+(2 x^2+2 e^x x^2+2 x^3+2 x^4) \log (x)+(1+e^{2 x}+2 x+3 x^2+2 x^3+x^4+e^x (2+2 x+2 x^2)) \log ^2(x)}{\log ^2(x)}}}{x^2 \log (x)+(1+e^x+x+x^2) \log ^2(x)} \, dx\)
  3.12.48 \(\int \frac {(-4 x+8 x^3) \log ^2(2)+(-32 x^3-16 x^4) \log ^3(2)}{-8-12 x-54 x^2-49 x^3-108 x^4-48 x^5-64 x^6+(192 x+384 x^2+1056 x^3+1248 x^4+1356 x^5+864 x^6+192 x^7) \log (2)+(-1536 x^2-3840 x^3-6912 x^4-8064 x^5-5088 x^6-1584 x^7-192 x^8) \log ^2(2)+(4096 x^3+12288 x^4+15360 x^5+10240 x^6+3840 x^7+768 x^8+64 x^9) \log ^3(2)} \, dx\)
  3.12.49 \(\int \frac {e^{-2 x} (-18 x-12 x^2+12 x^3-2 x^4+e^{2 x} (-18 x^4+6 x^5)+(-27-6 x+11 x^2-2 x^3) \log (3 e))}{x^4} \, dx\)
  3.12.50 \(\int \frac {e^{e^{\frac {900+3960 x+1476 x^2+144 x^3+e^x (480 x^3+216 x^4+24 x^5)+e^{2 x} (16 x^5+8 x^6+x^7)}{225+90 x+9 x^2}}+\frac {900+3960 x+1476 x^2+144 x^3+e^x (480 x^3+216 x^4+24 x^5)+e^{2 x} (16 x^5+8 x^6+x^7)}{225+90 x+9 x^2}} (18000+10800 x+2160 x^2+144 x^3+e^x (7200 x^2+7200 x^3+2592 x^4+408 x^5+24 x^6)+e^{2 x} (400 x^4+448 x^5+179 x^6+31 x^7+2 x^8))}{1125+675 x+135 x^2+9 x^3} \, dx\)
  3.12.51 \(\int \frac {-2 x+2 x^2+e^{2+2 (x-\log (2)) \log (\frac {2-2 x}{x})} (2 x-2 \log (2)+(-2 x+2 x^2) \log (\frac {2-2 x}{x}))}{-x+x^2} \, dx\)
  3.12.52 \(\int \frac {e^5 x^2-2 e^{10} x^3+(3 e^5 x^2-4 e^{10} x^3) \log (\frac {3 x}{e})}{1-4 e^5 x+4 e^{10} x^2} \, dx\)
  3.12.53 \(\int \frac {-176-12 x+9 x^2-2 x^3+e^4 (-22+4 x-x^2)}{4-4 x+x^2} \, dx\)
  3.12.54 \(\int \frac {3 e^{x-\frac {e^{e^x}}{4+x}} ((-80-120 x-45 x^2-5 x^3) \log (2)+e^{e^x} (-5 x \log (2)+e^x (20 x+5 x^2) \log (2)))}{16+8 x+x^2} \, dx\)
  3.12.55 \(\int \frac {e^{x/3} (-18 x^3-36 x^5+16 x^6+x^7)+e^{x/3} (54+108 x^2-42 x^3-6 x^4) \log (2-x)+e^{x/3} (-18+9 x) \log ^2(2-x)}{-270+135 x} \, dx\)
  3.12.56 \(\int \frac {e^{e^{\frac {e^{-2 x} (e^4 (25+75 x)+e^x (e^4 (10 x^2+30 x^3)+e^4 (-10 x-30 x^2) \log (2))+e^{2 x} (e^4 (x^4+3 x^5)+e^4 (-2 x^3-6 x^4) \log (2)+e^4 (x^2+3 x^3) \log ^2(2)))}{x^2}}-2 x+\frac {e^{-2 x} (e^4 (25+75 x)+e^x (e^4 (10 x^2+30 x^3)+e^4 (-10 x-30 x^2) \log (2))+e^{2 x} (e^4 (x^4+3 x^5)+e^4 (-2 x^3-6 x^4) \log (2)+e^4 (x^2+3 x^3) \log ^2(2)))}{x^2}} (e^4 (-50-125 x-150 x^2)+e^x (e^4 (20 x^3-30 x^4)+e^4 (10 x+10 x^2+30 x^3) \log (2))+e^{2 x} (e^4 (2 x^4+9 x^5)+e^4 (-2 x^3-12 x^4) \log (2)+3 e^4 x^3 \log ^2(2)))}{x^3} \, dx\)
  3.12.57 \(\int \frac {e^{\frac {\log ^2(\frac {-x^2+2 \log (-20+x)}{\log (-20+x)})}{x^2}} ((2 x^3+(80 x^2-4 x^3) \log (-20+x)) \log (\frac {-x^2+2 \log (-20+x)}{\log (-20+x)})+((-40 x^2+2 x^3) \log (-20+x)+(80-4 x) \log ^2(-20+x)) \log ^2(\frac {-x^2+2 \log (-20+x)}{\log (-20+x)}))}{(20 x^5-x^6) \log (-20+x)+(-40 x^3+2 x^4) \log ^2(-20+x)} \, dx\)
  3.12.58 \(\int \frac {e^{\frac {1+x \log (x)}{(-25 x+5 e^x x-5 x^2) \log (x)}} (5-e^x+x+(5+e^x (-1-x)+2 x) \log (x)+(x^2-e^x x^2) \log ^2(x))}{e^{\frac {1+x \log (x)}{(-25 x+5 e^x x-5 x^2) \log (x)}} (125 x^2+5 e^{2 x} x^2+50 x^3+5 x^4+e^x (-50 x^2-10 x^3)) \log ^2(x)+(-250 x^2-10 e^{2 x} x^2-100 x^3-10 x^4+e^x (100 x^2+20 x^3)) \log ^2(x)} \, dx\)
  3.12.59 \(\int \frac {-e^5 \log (\frac {5}{2})+e^5 \log (\frac {5}{2}) \log (x) \log (\log (x))+(1+e^5 (1+2 x)) \log (\frac {5}{2}) \log (x) \log ^2(\log (x))}{2 e^5 \log (x) \log ^2(\log (x))} \, dx\)
  3.12.60 \(\int \frac {e^{2 x} (-2+8 x)+4 \log (5)+e^x (-4+8 x+(2-4 x) \log (5))}{(e^{2 x} x-2 x \log (5)+e^x (2 x-x \log (5))) \log (\frac {e^{4 x}+e^{3 x} (4-2 \log (5))+4 \log ^2(5)+e^{2 x} (4-8 \log (5)+\log ^2(5))+e^x (-8 \log (5)+4 \log ^2(5))}{2 x}) \log (\log ^2(\frac {e^{4 x}+e^{3 x} (4-2 \log (5))+4 \log ^2(5)+e^{2 x} (4-8 \log (5)+\log ^2(5))+e^x (-8 \log (5)+4 \log ^2(5))}{2 x}))} \, dx\)
  3.12.61 \(\int \frac {x^2+e^{\frac {2 (x \log (5)+e \log (5) \log (x^2))}{e x}} (-4 \log (5)+2 \log (5) \log (x^2))}{x^2} \, dx\)
  3.12.62 \(\int (-968 x+e^{4-e^3+2 x} (1+2 x)-88 x \log (2)-2 x \log ^2(2)) \, dx\)
  3.12.63 \(\int \frac {e^{\frac {4096 x^2-x^3+8192 x \log (4)+4096 \log ^2(4)+(-8192 x-8192 \log (4)) \log (x)+4096 \log ^2(x)}{x^2}} (-24576 x-3 x^3+(-24576-24576 x) \log (4)-24576 \log ^2(4)+(24576+24576 x+49152 \log (4)) \log (x)-24576 \log ^2(x))}{x^3} \, dx\)
  3.12.64 \(\int \frac {8 e^4 x+e^5 (4-16 x^3)}{-x^{10}+e (-5 x^9+5 x^{12})+e^2 (-10 x^8+20 x^{11}-10 x^{14})+e^3 (-10 x^7+30 x^{10}-30 x^{13}+10 x^{16})+e^4 (-5 x^6+20 x^9-30 x^{12}+20 x^{15}-5 x^{18})+e^5 (-x^5+5 x^8-10 x^{11}+10 x^{14}-5 x^{17}+x^{20})} \, dx\)
  3.12.65 \(\int e^{e^x} (10 x^4+6 x^5+e^x (2 x^5+x^6)) \, dx\)
  3.12.66 \(\int \frac {300 x^3+(1000 x^5+375 x^6-125 x^8) \log (2)}{9+(120 x^2+90 x^3-150 x^4+30 x^5) \log (2)+(400 x^4+600 x^5-775 x^6-550 x^7+775 x^8-250 x^9+25 x^{10}) \log ^2(2)} \, dx\)
  3.12.67 \(\int \frac {-5+\log (3)+e^{\frac {e^{e^x}}{-5+\log (3)}} (-5+\log (3)+e^{e^x+x} x \log (x)+(-5+\log (3)) \log (x))}{-5+\log (3)} \, dx\)
  3.12.68 \(\int \frac {(80-480 x+e^x (-40+216 x+120 x^2)+(-16+80 x+e^x (8-32 x-40 x^2)) \log (x^2-5 x^3)) \log (\frac {-3+\log (x^2-5 x^3)}{-2 x+e^x x})+(48-240 x+e^x (-24+120 x)+(-16+e^x (8-40 x)+80 x) \log (x^2-5 x^3)) \log ^2(\frac {-3+\log (x^2-5 x^3)}{-2 x+e^x x})}{-6 x^3+30 x^4+e^x (3 x^3-15 x^4)+(2 x^3-10 x^4+e^x (-x^3+5 x^4)) \log (x^2-5 x^3)} \, dx\)
  3.12.69 \(\int \frac {2-e^x+2 x}{(-1+e^x-2 x-x^2) \log (-1+e^x-2 x-x^2)} \, dx\)
  3.12.70 \(\int \frac {x \log ^3(2 x)+e^{\frac {1-10 x+4 \log ^2(2 x)}{2 \log ^2(2 x)}} (1-10 x+5 x \log (2 x))}{x \log ^3(2 x)} \, dx\)
  3.12.71 \(\int \frac {-45-105 x-24 x^2}{36 x^2+105 x^3+88 x^4+16 x^5+(72 x+114 x^2+24 x^3) \log (4+x)+(36+9 x) \log ^2(4+x)} \, dx\)
  3.12.72 \(\int \frac {-108 e^{x/5} x^4-1440 x \log (25)+e^{e^x} (e^{x/5} (-135 x^4+27 x^5)+540 x^2 \log (25)+e^x (-135 e^{x/5} x^5+180 x^3 \log (25)))}{45 e^{2 x/5} x^4-120 e^{x/5} x^2 \log (25)+80 \log ^2(25)} \, dx\)
  3.12.73 \(\int \frac {-x+(32+64 x+32 x^2) \log (x)+(32 x+32 x^2) \log ^2(x)}{-x^2+(16 x+32 x^2+16 x^3) \log ^2(x)} \, dx\)
  3.12.74 \(\int \frac {-32-2592 e^8-630 x-10368 e^6 x-2340 x^2+5346 x^3-2592 x^4+e^4 (576+5670 x-15552 x^2)+e^2 (1152 x+11016 x^2-10368 x^3)}{64 x^3+5184 e^8 x^3+1296 x^4+20736 e^6 x^4+5409 x^5-11664 x^6+5184 x^7+e^4 (-1152 x^3-11664 x^4+31104 x^5)+e^2 (-2304 x^4-23328 x^5+20736 x^6)} \, dx\)
  3.12.75 \(\int \frac {e^{2 e^{x/3}} (720-90 x)+720 x^2-90 x^3+e^{e^{x/3}} (-3-1440 x+e^{x/3} x+180 x^2)}{3 e^{2 e^{x/3}}-6 e^{e^{x/3}} x+3 x^2} \, dx\)
  3.12.76 \(\int \frac {15+60 x-146 x^2+355 x^4+(30 x^2-146 x^4) \log (3)+15 x^4 \log ^2(3)+(6 x^2-10 x^4+2 x^4 \log (3)) \log (x^2)}{15-150 x^2+375 x^4+(30 x^2-150 x^4) \log (3)+15 x^4 \log ^2(3)} \, dx\)
  3.12.77 \(\int \frac {-80+15 x+(80-20 x) \log (4-x)}{e^{22} (-4 x^5+x^6)+e^{22} (8 x^5-2 x^6) \log (4-x)+e^{22} (-4 x^5+x^6) \log ^2(4-x)} \, dx\)
  3.12.78 \(\int e^{-e-e^x+x+x^2} (1-e^x+2 x) \log ^2(25) \, dx\)
  3.12.79 \(\int -\frac {2 e^{16}}{25+10 x+x^2} \, dx\)
  3.12.80 \(\int \frac {e^{\frac {2}{x}+\frac {-e^{2/x}+x}{x}} (-10-5 x)+x^3}{x^3} \, dx\)
  3.12.81 \(\int \frac {1+(20 x+18 x^2+3 x^3) \log (x)}{x \log (x)} \, dx\)
  3.12.82 \(\int \frac {e^5 (-65537-262144 x-344064 x^2-229376 x^3-89600 x^4-21504 x^5-3136 x^6-256 x^7-9 x^8)}{25-655370 x+4293787649 x^2+17178984448 x^3+32211910656 x^4+37580899328 x^5+30534533120 x^6+18320722560 x^7+8396997184 x^8+2998927414 x^9+843448322 x^{10}+187432960 x^{11}+32800768 x^{12}+4472832 x^{13}+465920 x^{14}+35840 x^{15}+1920 x^{16}+64 x^{17}+x^{18}} \, dx\)
  3.12.83 \(\int \frac {16+\frac {e^{2 x}}{9}-8 \log (2)+\log ^2(2)+\frac {1}{3} e^x (-8+2 \log (2))+e^{\frac {-52+\frac {17 e^x}{3}+17 \log (2)+e^x (-4+\frac {e^x}{3}+\log (2))}{-4+\frac {e^x}{3}+\log (2)}} (-\frac {16 e^x}{3}+e^x (16+\frac {e^{2 x}}{9}-8 \log (2)+\log ^2(2)+\frac {1}{3} e^x (-8+2 \log (2))))}{16+\frac {e^{2 x}}{9}-8 \log (2)+\log ^2(2)+\frac {1}{3} e^x (-8+2 \log (2))} \, dx\)
  3.12.84 \(\int \frac {-6 x+4 x^2+(-3+2 x) \log (\frac {1}{2} (3 x-2 x^2))+\log (x) (-3+4 x+(-3+2 x) \log (\frac {1}{2} (3 x-2 x^2)))}{-3+2 x} \, dx\)
  3.12.85 \(\int \frac {-4096-9984 x-9600 x^2-4544 x^3-864 x^4+432 x^5+568 x^6+300 x^7+78 x^8+8 x^9+(1024+2560 x+2560 x^2+1280 x^3+256 x^4-128 x^5-160 x^6-80 x^7-20 x^8-2 x^9) \log (2)+(-6144 x-8832 x^2-6208 x^3-1664 x^4+832 x^5+776 x^6+276 x^7+48 x^8+(1536 x+2304 x^2+1664 x^3+448 x^4-224 x^5-208 x^6-72 x^7-12 x^8) \log (2)) \log (5)+(-3072-5440 x-7648 x^2-4128 x^3-528 x^4+444 x^5+402 x^6+120 x^7+(768+1408 x+1984 x^2+1120 x^3+144 x^4-120 x^5-108 x^6-30 x^7) \log (2)) \log ^2(5)+(-3072 x-2880 x^2-1728 x^3-352 x^4+344 x^5+160 x^6+(768 x+768 x^2+448 x^3+96 x^4-96 x^5-40 x^6) \log (2)) \log ^3(5)+(-768-848 x-1256 x^2-460 x^3+210 x^4+120 x^5+(192+224 x+320 x^2+128 x^3-60 x^4-30 x^5) \log (2)) \log ^4(5)+(-384 x-168 x^2+84 x^3+48 x^4+(96 x+48 x^2-24 x^3-12 x^4) \log (2)) \log ^5(5)+(-64-28 x+14 x^2+8 x^3+(16+8 x-4 x^2-2 x^3) \log (2)) \log ^6(5)}{2048+5120 x+6656 x^2+6400 x^3+4864 x^4+2944 x^5+1472 x^6+608 x^7+200 x^8+52 x^9+10 x^{10}+x^{11}+(3072 x+7680 x^2+9216 x^3+7680 x^4+4992 x^5+2496 x^6+960 x^7+288 x^8+60 x^9+6 x^{10}) \log (5)+(1536+3840 x+6144 x^2+7680 x^3+6720 x^4+4128 x^5+1920 x^6+672 x^7+150 x^8+15 x^9) \log ^2(5)+(1536 x+3840 x^2+4480 x^3+3520 x^4+2080 x^5+848 x^6+200 x^7+20 x^8) \log ^3(5)+(384+960 x+1440 x^2+1680 x^3+1320 x^4+612 x^5+150 x^6+15 x^7) \log ^4(5)+(192 x+480 x^2+480 x^3+240 x^4+60 x^5+6 x^6) \log ^5(5)+(32+80 x+80 x^2+40 x^3+10 x^4+x^5) \log ^6(5)} \, dx\)
  3.12.86 \(\int \frac {(12 x^2-256 x^3+112 x^4) \log (\log (4))}{1-64 x+1080 x^2-1800 x^3+1040 x^4-224 x^5+16 x^6} \, dx\)
  3.12.87 \(\int \frac {24+12 x+(4-12 x) \log (\frac {3}{-1+3 x})}{-9+27 x+(-12+30 x+18 x^2) \log (\frac {3}{-1+3 x})+(-4+8 x+11 x^2+3 x^3) \log ^2(\frac {3}{-1+3 x})} \, dx\)
  3.12.88 \(\int \frac {-3 x+2 x^2+4 e^{-2 x+4 e^{-2 x} x^2} (2-2 x) x^2}{x} \, dx\)
  3.12.89 \(\int \frac {-2+(-4 x-2 x^2) \log (5)+((-1+4 x+x^2) \log (5)+\log (x^2)) \log ((-1+4 x+x^2) \log (5)+\log (x^2))}{((-x+4 x^2+x^3) \log (5)+x \log (x^2)) \log ((-1+4 x+x^2) \log (5)+\log (x^2))} \, dx\)
  3.12.90 \(\int \frac {-3+5 x}{3 x} \, dx\)
  3.12.91 \(\int \frac {72 x+108 x^2+36 x^3+(-36 x^2-24 x^3) \log (2)+4 x^3 \log ^2(2)}{\log ^2(2)} \, dx\)
  3.12.92 \(\int (-54-24 e-72 e^5-24 e^{10}+16 e^{4 x}+e^{3 x} (-72-48 e^5)+e^{2 x} (84+16 e+144 e^5+48 e^{10}-48 x)+72 x+e^x (18-24 e-72 e^{10}-16 e^{15}+72 x+e^5 (-60-16 e+48 x))) \, dx\)
  3.12.93 \(\int \frac {4 e^2+4 e^{1+x} x^2}{e^2-2 e^{1+x} x+e^{2 x} x^2} \, dx\)
  3.12.94 \(\int \frac {6400 x+4800 x^2+2480 x^3+660 x^4+108 x^5+8 x^6+e^x (-1600-1200 x-300 x^2-25 x^3)}{1600+1200 x+300 x^2+25 x^3} \, dx\)
  3.12.95 \(\int \frac {(20-22 x+6 x^2) \log (3)+(12 x-3 x^2) \log (3) \log (4 x-x^2) \log (\log (4 x-x^2))+(8 x^2-2 x^3) \log (3) \log (4 x-x^2) \log ^2(\log (4 x-x^2))}{(-4 x+x^2) \log (4 x-x^2) \log ^2(\log (4 x-x^2))} \, dx\)
  3.12.96 \(\int \frac {2 e^{16}}{x} \, dx\)
  3.12.97 \(\int \frac {e^{\frac {-2 x+3 x^2+2 x^3+8 e^8 \log (x^2)}{2+x}} (-8 x+24 x^2+30 x^3+8 x^4+e^8 (64+32 x)-16 e^8 x \log (x^2))}{4 x+4 x^2+x^3} \, dx\)
  3.12.98 \(\int \frac {-2+x^3-3 e^{-3 x} x^3-2 x^4 \log (4+e^3)}{x^3} \, dx\)
  3.12.99 \(\int \frac {10 e^x x-10 x^2+(-25 x-10 x^2+e^x (25+10 x)) \log (5+2 x)+e^{-x^3+x^2 \log (-5 e^x+5 x)} (2 e^x-2 x+(-5 x^2+13 x^3+6 x^4+e^x (-10 x^2-4 x^3)) \log (5+2 x)+(-10 x^2-4 x^3+e^x (10 x+4 x^2)) \log (5+2 x) \log (-5 e^x+5 x))}{-5 x-2 x^2+e^x (5+2 x)} \, dx\)
  3.12.100 \(\int \frac {x (-3 x^2+48 x^3-144 x^4+(-1+144 x^2) \log (2))}{e^2 (-x^2-\log (2)) (36 x^5+36 x^3 \log (2))} \, dx\)