3.74 Integrals 7301 to 7400

  3.74.1 \(\int \frac {60-3 x \log ^2(4 x)}{20 x \log ^2(4 x)} \, dx\)
  3.74.2 \(\int \frac {1}{16} e^{\frac {8 e^4-3 x}{4 e^4}} (4 e^4-3 x) \, dx\)
  3.74.3 \(\int \frac {9-3 x-3 x^2+(-3 x-6 x^2) \log (x)+(144 x^2-96 x^3-80 x^4+32 x^5+16 x^6) \log ^2(x)}{(180 x-120 x^2-100 x^3+40 x^4+20 x^5) \log ^2(x)} \, dx\)
  3.74.4 \(\int \frac {3 x^2+x^{.\frac {5}{3}/x} (5-5 \log (x))}{3 x^2} \, dx\)
  3.74.5 \(\int e^{-e^x} (5 e^{21} x^4-e^{21+x} x^5+e^{e^x} (-4 x^3+10 x^4)) \, dx\)
  3.74.6 \(\int \frac {4-12 x-15 x^2-4 x^3+e^3 (-4-4 x-x^2)+(-20 x-18 x^2-4 x^3) \log (\frac {2}{x})+(-4 x-2 x^2-4 x \log (\frac {2}{x})) \log (x)}{4 x-28 x^2+33 x^3+56 x^4+16 x^5+e^6 (4 x+4 x^2+x^3)+e^3 (-8 x+24 x^2+30 x^3+8 x^4)+(-8 x^2+28 x^3+16 x^4+e^3 (8 x^2+4 x^3)) \log (x)+4 x^3 \log ^2(x)} \, dx\)
  3.74.7 \(\int \frac {25 x^2-6 e^x x^3+e^{2 x^2} (25-5 e^x x)+e^{x^2} (-50 x+e^x (x+11 x^2-2 x^3))}{25 e^{2 x^2} x-50 e^{x^2} x^2+25 x^3} \, dx\)
  3.74.8 \(\int \frac {e^x (130+80 x)+e^x (50 x^2+80 x^3+e^5 (169 x^2+208 x^3+64 x^4)) \log (x)+e^x (-130-30 x+80 x^2) \log (x) \log (\log (x))}{(169 x^2+208 x^3+64 x^4) \log (x)} \, dx\)
  3.74.9 \(\int (81+e^x+40 x) \, dx\)
  3.74.10 \(\int \frac {-108+144 x^3+2 x^6+e^{-1+x} (-54+72 x^3+x^6)+(e^{-1+x} (9 x-24 x^4+16 x^7)+e^{-1+x} x^7 \log (x)) \log (\frac {9-24 x^3+16 x^6+x^6 \log (x)}{x^6})}{9 x-24 x^4+16 x^7+x^7 \log (x)} \, dx\)
  3.74.11 \(\int e^{-x} (1+e^x (-4-4 e^4 x^3+5 x^4)) \, dx\)
  3.74.12 \(\int \frac {5 e^{2 x/5} x^2 \log (16)+(-60+15 x) \log (16)+e^{2 x/5} (-8 x^2+2 x^3) \log (16) \log (4-x)+(20-5 x) \log (16) \log (2 x^3)}{-20 x^2+5 x^3} \, dx\)
  3.74.13 \(\int \frac {e^{\frac {20+5 x+x \log (x)+5 \log ^2(x)}{4+x+\log ^2(x)}} (-128-56 x-6 x^2+8 x \log (x)+(-64-18 x) \log ^2(x)+2 x \log ^3(x)-8 \log ^4(x))}{16 x^5+8 x^6+x^7+(8 x^5+2 x^6) \log ^2(x)+x^5 \log ^4(x)} \, dx\)
  3.74.14 \(\int \frac {1}{4} e^{\frac {1}{12} (-11-9 x-900 x^2-300 x^3)} (-3-600 x-300 x^2) \, dx\)
  3.74.15 \(\int \frac {e^{x+x^2} (6 x+3 x^2+7 x^3+x^4-x^5-2 x^6+e^4 (-6 x-3 x^2-6 x^3-x^4+x^5+2 x^6))+e^{x+x^2} (-6 x-3 x^2-6 x^3-x^4+x^5+2 x^6) \log (x)+(e^{x+x^2} (x^4+2 x^5+e^4 (-x^4-2 x^5))+e^{x+x^2} (-x^4-2 x^5) \log (x)) \log (-1+e^4+\log (x))}{-9+6 x^3-x^6+e^4 (9-6 x^3+x^6)+(9-6 x^3+x^6) \log (x)+(-6 x^2+2 x^5+e^4 (6 x^2-2 x^5)+(6 x^2-2 x^5) \log (x)) \log (-1+e^4+\log (x))+(-x^4+e^4 x^4+x^4 \log (x)) \log ^2(-1+e^4+\log (x))} \, dx\)
  3.74.16 \(\int \frac {4 x-8 x \log (x)+84 \log ^2(x)}{5 x^4+(10 x^2-210 x^3) \log (x)+(5-210 x+2205 x^2) \log ^2(x)} \, dx\)
  3.74.17 \(\int \frac {-30+10 x+e^3 (-8+4 x)+(-40+20 x) \log (x)+(-5-2 e^3-10 \log (x)) \log (\frac {1}{10} (5+2 e^3+10 \log (x)))}{5+2 e^3+10 \log (x)} \, dx\)
  3.74.18 \(\int \frac {-14-4 x}{4+7 x+x^2} \, dx\)
  3.74.19 \(\int \frac {-60000 x^3-50300 x^4+6904 x^5-292 x^6+4 x^7+e (-30000 x+32450 x^2-3748 x^3+150 x^4-2 x^5)+e^2 (-28800 x^3+3600 x^4-148 x^5+2 x^6)+(-62500 x^2-52500 x^3+7100 x^4-296 x^5+4 x^6+e (-31250+33750 x-3850 x^2+152 x^3-2 x^4)+e^2 (-30000 x^2+3700 x^3-150 x^4+2 x^5)) \log (\frac {e-e^2 x-2 x^2}{x})}{-31250 x^3+3750 x^4-150 x^5+2 x^6+e (15625 x-1875 x^2+75 x^3-x^4)+e^2 (-15625 x^2+1875 x^3-75 x^4+x^5)} \, dx\)
  3.74.20 \(\int \frac {-e^5 x+e^{\frac {17 e^5+e^{5+\log ^2(x)}+x \log (5)}{e^5}} (x \log (5)+2 e^{5+\log ^2(x)} \log (x))}{e^5 x} \, dx\)
  3.74.21 \(\int \frac {e^2 (8-8 x+3750 x^2-400 x^3+10 x^4)-4 e^2 \log (\frac {3}{x})}{4 x^2-8 x^3+2504 x^4-2700 x^5+390829 x^6-62504 x^7+3750 x^8-100 x^9+x^{10}+(-8 x^2+8 x^3-2500 x^4+200 x^5-4 x^6) \log (\frac {3}{x})+4 x^2 \log ^2(\frac {3}{x})} \, dx\)
  3.74.22 \(\int (3-2 x+15 x^2+e^{2 x} (1+2 x)) \, dx\)
  3.74.23 \(\int \frac {2 e^x x^2+e (-1-2 x-2 x^2)+(-e x+e^x x) \log (x)}{2 x^2+x \log (x)} \, dx\)
  3.74.24 \(\int \frac {e^{\frac {(256-256 x+96 x^2-16 x^3+x^4) \log ^2(\frac {x}{5+x})}{256+e^{4 x}+768 x+608 x^2-144 x^3-255 x^4+36 x^5+38 x^6-12 x^7+x^8+e^{3 x} (-16-12 x+4 x^2)+e^{2 x} (96+144 x+6 x^2-36 x^3+6 x^4)+e^x (-256-576 x-240 x^2+180 x^3+60 x^4-36 x^5+4 x^6)}} ((-10240+2560 x+6400 x^2-4800 x^3+1400 x^4-190 x^5+10 x^6+e^x (2560-2560 x+960 x^2-160 x^3+10 x^4)) \log (\frac {x}{5+x})+(20480 x-21504 x^2+7680 x^3-640 x^4-240 x^5+60 x^6-4 x^7+e^x (-6400 x+4800 x^2-944 x^3-92 x^4+48 x^5-4 x^6)) \log ^2(\frac {x}{5+x}))}{-5120 x-20224 x^2-26240 x^3-6880 x^4+9820 x^5+4445 x^6-2098 x^7-665 x^8+320 x^9-5 x^{10}-10 x^{11}+x^{12}+e^{5 x} (5 x+x^2)+e^{4 x} (-100 x-95 x^2+10 x^3+5 x^4)+e^{3 x} (800 x+1360 x^2+290 x^3-290 x^4-10 x^5+10 x^6)+e^{2 x} (-3200 x-7840 x^2-4440 x^3+1650 x^4+1200 x^5-300 x^6-40 x^7+10 x^8)+e^x (6400 x+20480 x^2+19040 x^3-560 x^4-7095 x^5-375 x^6+1130 x^7-110 x^8-35 x^9+5 x^{10})} \, dx\)
  3.74.25 \(\int \frac {-e^5-x+e^{e^2} (2 e^5 x+2 x^2)+(-x+e^{e^2} x^2) \log (x-e^{e^2} x^2)}{(-e^5 x-x^2+e^{e^2} (e^5 x^2+x^3)) \log (x-e^{e^2} x^2)} \, dx\)
  3.74.26 \(\int \frac {e^{\frac {9 e^{x/2}}{x}+\frac {x}{2}} (-18+9 x)}{4 x^2} \, dx\)
  3.74.27 \(\int \frac {-10-10 x+6 x^2+2 x^3+e^4 (2+2 x)+e^2 (-8 x-4 x^2)+(-5+e^4-2 e^2 x+x^2) \log (\frac {1}{16} (25 x^2+e^8 x^2-4 e^6 x^3-10 x^4+x^6+e^4 (-10 x^2+6 x^4)+e^2 (20 x^3-4 x^5)))}{-10+2 e^4-4 e^2 x+2 x^2} \, dx\)
  3.74.28 \(\int (2 x+4 x \log (x)+e^{e^{-4-e+x}} (-x+(-2 x-e^{-4-e+x} x^2) \log (x))) \, dx\)
  3.74.29 \(\int \frac {96 x-16 x^2+e^{-e+2 x} (12+20 x)}{e^{-e+2 x} x+4 x^2} \, dx\)
  3.74.30 \(\int \frac {e^{3 x} (-1-x+3 x^2)+3 e^{3 x} x \log (2 x)}{x^3+2 x^2 \log (2 x)+x \log ^2(2 x)} \, dx\)
  3.74.31 \(\int \frac {2+4 x-4 e^6 x+e^{12} x+(-4 x+2 e^6 x) \log (\frac {4}{x})+x \log ^2(\frac {4}{x})+(4 x-2 e^6 x-2 x \log (\frac {4}{x})) \log (x)+(8 x^2-6 e^6 x^2+e^{12} x^2+(-6 x^2+2 e^6 x^2) \log (\frac {4}{x})+x^2 \log ^2(\frac {4}{x})) \log (\log (2))}{x^2} \, dx\)
  3.74.32 \(\int \frac {e^4+432 e^{2 x}}{e^4+144 e^{2 x}} \, dx\)
  3.74.33 \(\int \frac {-135-27 \log ^2(5)}{52 x^2+12 x^2 \log ^2(5)} \, dx\)
  3.74.34 \(\int \frac {e^{1+e^{2 x^2}-x} (-1+4 e^{2 x^2} x)}{e^{1+e^{2 x^2}-x}-15625 e^{9+\log ^2(5)}} \, dx\)
  3.74.35 \(\int e^{3+e^x-x+x^2+3 \log ^4(4)} (-1+e^x+2 x) \, dx\)
  3.74.36 \(\int \frac {e^4 (4 x^4-4 x^5+x^6)+e^{\frac {2 x^2}{e^4 (-2+x)}} (-512 x^3+128 x^4+e^4 (-512+384 x^2-128 x^3))+(e^{\frac {2 x^2}{e^4 (-2+x)}} (-512 x^2+128 x^3)+e^4 (12 x^3-12 x^4+3 x^5)) \log (x)+e^4 (12 x^2-12 x^3+3 x^4) \log ^2(x)+e^4 (4 x-4 x^2+x^3) \log ^3(x)}{e^4 (4 x^4-4 x^5+x^6)+e^4 (12 x^3-12 x^4+3 x^5) \log (x)+e^4 (12 x^2-12 x^3+3 x^4) \log ^2(x)+e^4 (4 x-4 x^2+x^3) \log ^3(x)} \, dx\)
  3.74.37 \(\int \frac {1}{2} e^{\frac {1}{2} (2-e^x)+x^{e^{\frac {1}{2} (2-e^x)}}} x^{-1+e^{\frac {1}{2} (2-e^x)}} (2-e^x x \log (x)) \, dx\)
  3.74.38 \(\int \frac {-8+(-8-16 x^2) \log (x)+(x^2-8 x^3-2 x^4+e^x (1-x+2 x^2)) \log ^2(x)+(8 x^2 \log (x)+(-e^x x^2+4 x^3+x^4) \log ^2(x)+(-8 \log (x)+(e^x-4 x-x^2) \log ^2(x)) \log (\frac {8+(-e^x+4 x+x^2) \log (x)}{x \log (x)})) \log (x^2-\log (\frac {8+(-e^x+4 x+x^2) \log (x)}{x \log (x)}))}{(8 x^2 \log (x)+(-e^x x^2+4 x^3+x^4) \log ^2(x)+(-8 \log (x)+(e^x-4 x-x^2) \log ^2(x)) \log (\frac {8+(-e^x+4 x+x^2) \log (x)}{x \log (x)})) \log ^2(x^2-\log (\frac {8+(-e^x+4 x+x^2) \log (x)}{x \log (x)}))} \, dx\)
  3.74.39 \(\int \frac {e^{2/x} (3 x+3 x^2)+e^{2/x} (-3 x-3 x^2+x^3) \log (x)+e^{2/x} (-2-2 x) \log (x) \log (\frac {5 \log ^3(x)}{x+x^2})}{(x^2+x^3) \log (x)} \, dx\)
  3.74.40 \(\int \frac {10+3 x+(3+x) \log (x)}{3 x+x \log (x)} \, dx\)
  3.74.41 \(\int \frac {125 x^3+50 x^4+5 x^5+e^{\frac {-20-12 x-125 x^2-25 x^3+e (25 x^2+5 x^3)}{25 x^2+5 x^3}} (200+120 x+24 x^2)}{125 x^4+50 x^5+5 x^6+e^{\frac {-20-12 x-125 x^2-25 x^3+e (25 x^2+5 x^3)}{25 x^2+5 x^3}} (125 x^3+50 x^4+5 x^5)} \, dx\)
  3.74.42 \(\int (3 x^2+3 e^{3-x^3} x^2) \, dx\)
  3.74.43 \(\int \frac {(15-17 x-4 x^2) \log (\frac {9-24 x+16 x^2}{x^4})+(-120+92 x-8 x^2+(60-40 x) \log (x)) \log (10-x-5 \log (x))+(30 x-43 x^2+4 x^3+(-15 x+20 x^2) \log (x)) \log ^2(10-x-5 \log (x))}{(30 x-43 x^2+4 x^3+(-15 x+20 x^2) \log (x)) \log ^2(10-x-5 \log (x))} \, dx\)
  3.74.44 \(\int \frac {216-24 x-24 x^2-4 x^3-4 x^4+(-24 x-2 x^3) \log (x)}{-9 x^3+x^4+x^5+x^4 \log (x)} \, dx\)
  3.74.45 \(\int \frac {1}{2} (-2 e^{e^{\log ^2(10)}}+e^{x/2}) \, dx\)
  3.74.46 \(\int \frac {e^{2 x+\frac {16 e^{2 x} x^2}{729+1458 x+729 x^2}} (32 x+32 x^2+32 x^3)}{729+2187 x+2187 x^2+729 x^3} \, dx\)
  3.74.47 \(\int \frac {3-2 x^2+12 x^5+5 x^6+e^{2 x} (1-2 x-4 x^2+4 x^5+2 x^6)}{x^2} \, dx\)
  3.74.48 \(\int \frac {270 x^3+1431 x^4-828 x^5-21016 x^6+43992 x^7-189668 x^8+381578 x^9-382272 x^{10}+221780 x^{11}-79932 x^{12}+18236 x^{13}-2568 x^{14}+204 x^{15}-7 x^{16}+(-18 x^2-528 x^3+628 x^4-240 x^5-60 x^6+168 x^7-100 x^8+24 x^9-2 x^{10}) \log (x)+(27 x^2-24 x^3+5 x^4) \log ^2(x)}{35721 x^4-47628 x^5+874314 x^6-1479492 x^7+8243811 x^8-15734160 x^9+39581880 x^{10}-71563680 x^{11}+106612717 x^{12}-141607796 x^{13}+145039298 x^{14}-106050644 x^{15}+55218437 x^{16}-20791560 x^{17}+5728480 x^{18}-1157680 x^{19}+169971 x^{20}-17668 x^{21}+1234 x^{22}-52 x^{23}+x^{24}+(-11340 x^3+11340 x^4-195480 x^5+268800 x^6-1160748 x^7+1862828 x^8-3083396 x^9+4295684 x^{10}-3745020 x^{11}+2041420 x^{12}-724740 x^{13}+171300 x^{14}-26848 x^{15}+2688 x^{16}-156 x^{17}+4 x^{18}) \log (x)+(1278 x^2-852 x^3+13642 x^4-14400 x^5+39390 x^6-50460 x^7+29910 x^8-9480 x^9+1674 x^{10}-156 x^{11}+6 x^{12}) \log ^2(x)+(-60 x+20 x^2-300 x^3+220 x^4-52 x^5+4 x^6) \log ^3(x)+\log ^4(x)} \, dx\)
  3.74.49 \(\int \frac {360-1800 x-744 x^2-408 x^3-528 x^4-104 x^5-32 x^6-32 x^7+e^{2 x} (-72 x^3-72 x^4-18 x^5)+e^x (828 x^2+540 x^3+120 x^4+120 x^5+48 x^6)}{900+360 x+156 x^2+264 x^3+52 x^4+16 x^5+16 x^6+e^{2 x} (36 x^2+36 x^3+9 x^4)+e^x (-360 x-252 x^2-60 x^3-60 x^4-24 x^5)} \, dx\)
  3.74.50 \(\int \frac {((-320-16 x-1280 x^2-64 x^3) \log (\frac {20+x}{4})+(1280 x^2+64 x^3) \log (x^2) \log (\frac {20+x}{4})) \log (\frac {16+64 x^2}{\log (x^2)})+(-4 x-16 x^3) \log (x^2) \log ^2(\frac {16+64 x^2}{\log (x^2)})}{(20 x+x^2+80 x^3+4 x^4) \log (x^2) \log ^2(\frac {20+x}{4})} \, dx\)
  3.74.51 \(\int \frac {e^{5 x} (e^{2 x} (4+20 x)+e^x (-28 x^2+6 e^3 x^2-12 x^3))}{16 e^{2 x}+25 x^2+e^6 x^2+20 x^3+4 x^4+e^x (-40 x+8 e^3 x-16 x^2)+e^3 (-10 x^2-4 x^3)} \, dx\)
  3.74.52 \(\int \frac {-16 x^2-68 x^3-32 x^4-4 x^5+e^2 (64 x^3+32 x^4+4 x^5)+(4 x^3+e^2 (16 x^2+4 x^3)) \log (x)+(64 x^3+32 x^4+4 x^5+(16 x^2+4 x^3) \log (x)) \log (\frac {4 x+x^2+\log (x)}{4+x})+(-32 x-120 x^2+4 x^3+24 x^4+4 x^5+e^2 (128 x^2-24 x^4-4 x^5)+(8 x^2-4 x^3+e^2 (32 x-8 x^2-4 x^3)) \log (x)+(128 x^2-24 x^4-4 x^5+(32 x-8 x^2-4 x^3) \log (x)) \log (\frac {4 x+x^2+\log (x)}{4+x})) \log (\frac {e^4+2 e^2 \log (\frac {4 x+x^2+\log (x)}{4+x})+\log ^2(\frac {4 x+x^2+\log (x)}{4+x})}{x^2})+(e^2 (-64 x^2-32 x^3-4 x^4)+e^2 (-16 x-4 x^2) \log (x)+(-64 x^2-32 x^3-4 x^4+(-16 x-4 x^2) \log (x)) \log (\frac {4 x+x^2+\log (x)}{4+x})) \log ^2(\frac {e^4+2 e^2 \log (\frac {4 x+x^2+\log (x)}{4+x})+\log ^2(\frac {4 x+x^2+\log (x)}{4+x})}{x^2})+(e^2 (-128 x+24 x^3+4 x^4)+e^2 (-32+8 x+4 x^2) \log (x)+(-128 x+24 x^3+4 x^4+(-32+8 x+4 x^2) \log (x)) \log (\frac {4 x+x^2+\log (x)}{4+x})) \log ^3(\frac {e^4+2 e^2 \log (\frac {4 x+x^2+\log (x)}{4+x})+\log ^2(\frac {4 x+x^2+\log (x)}{4+x})}{x^2})}{(e^2 (16 x^4+8 x^5+x^6)+e^2 (4 x^3+x^4) \log (x)+(16 x^4+8 x^5+x^6+(4 x^3+x^4) \log (x)) \log (\frac {4 x+x^2+\log (x)}{4+x})) \log ^3(\frac {e^4+2 e^2 \log (\frac {4 x+x^2+\log (x)}{4+x})+\log ^2(\frac {4 x+x^2+\log (x)}{4+x})}{x^2})} \, dx\)
  3.74.53 \(\int \frac {75 e^{4+x}}{625 e^2+81 e^{2 x}+450 e^{1+x}} \, dx\)
  3.74.54 \(\int \frac {2 x-x^2+e^x (-4 x+2 x^2-2 x^3)+(-1+e^x (2-2 x)) \log (\frac {e^{2 x}}{2+e^x (-8+8 x)+e^{2 x} (8-16 x+8 x^2)})}{x^4+e^x (-2 x^4+2 x^5)+(-2 x^2+e^x (4 x^2-4 x^3)) \log (\frac {e^{2 x}}{2+e^x (-8+8 x)+e^{2 x} (8-16 x+8 x^2)})+(1+e^x (-2+2 x)) \log ^2(\frac {e^{2 x}}{2+e^x (-8+8 x)+e^{2 x} (8-16 x+8 x^2)})} \, dx\)
  3.74.55 \(\int (1+2 e^{16} \log ^2(4)) \, dx\)
  3.74.56 \(\int (-10 e^8 x-5 \log (x)) \, dx\)
  3.74.57 \(\int (-1+2 x \log (5)) \, dx\)
  3.74.58 \(\int \frac {1-x+(3 x^3+3 e^4 x^3) \log (5)}{-x^2+(-3 x+x^4+e^4 x^4) \log (5)+x \log (x)} \, dx\)
  3.74.59 \(\int \frac {\log (\log (75) \log (x))-\log (x) \log ^2(\log (75) \log (x))}{324 x^3 \log (x)} \, dx\)
  3.74.60 \(\int \frac {e^{-6+e^{\frac {-4+x-e^{\frac {x}{e^8}} x}{\log (x)}}+x} (e^8 x \log ^2(x)+e^{\frac {-4+x-e^{\frac {x}{e^8}} x}{\log (x)}} (e^8 (4-x)+e^{8+\frac {x}{e^8}} x+(e^8 x+e^{\frac {x}{e^8}} (-e^8 x-x^2)) \log (x)))}{x \log ^2(x)} \, dx\)
  3.74.61 \(\int \frac {1}{27} e^{-25+e^{3+2 x}-e^{\frac {1}{54} (-162+x^2)}+x} (27+54 e^{3+2 x}-e^{\frac {1}{54} (-162+x^2)} x) \, dx\)
  3.74.62 \(\int \frac {1}{5} (5+5 x+e^{2 x^2} (-2 x-4 x^3)-2 x \log (x)) \, dx\)
  3.74.63 \(\int \frac {-20+18 x-112 x^2-18 x^3+36 x^4+(2-2 x+12 x^2) \log (x)}{x} \, dx\)
  3.74.64 \(\int \frac {-9-3 \log (x^3) \log (\log (x^3))}{250 \log (x^3)} \, dx\)
  3.74.65 \(\int (e^3+2 x+e^{25-10 e^x+e^{2 x}+2 x} (-1-2 e^3+e^{2 x} (-2 e^3-2 x)-2 x+e^x (10 e^3+10 x))-\log (4+e^4)) \, dx\)
  3.74.66 \(\int \frac {540-90 x-12 x^2+9 x^3+120 \log (x^2)}{x^3} \, dx\)
  3.74.67 \(\int \frac {1}{3} \log (3 \log (-6+3 e^{e^{\frac {1}{2} (8+e^3)}})) \, dx\)
  3.74.68 \(\int -\frac {1}{x} \, dx\)
  3.74.69 \(\int \frac {2+4 x+e^x (-2-6 x-4 x^2)+(2048+1280 x+136 x^2+4 x^3+e^x (2048+1280 x+136 x^2+4 x^3)) \log (1+2 x)+(320+708 x+139 x^2+6 x^3+e^x (-192-636 x-535 x^2-63 x^3-2 x^4)) \log ^2(1+2 x)}{1+2 x+e^{2 x} (1+2 x)+e^x (2+4 x)} \, dx\)
  3.74.70 \(\int \frac {1}{4} (x^2)^{\frac {1}{4} (125 x+100 x \log (x))} (250+200 \log (x)+(225+100 \log (x)) \log (x^2)) \, dx\)
  3.74.71 \(\int \frac {\log ^{2 x^2}(x) (5 x \log (2) \log ^2(3)+10 x \log (2) \log ^2(3) \log (x) \log (\log (x)))}{32 \log (x)+192 \log (3) \log ^{1+x^2}(x)+384 \log ^2(3) \log ^{1+2 x^2}(x)+256 \log ^3(3) \log ^{1+3 x^2}(x)} \, dx\)
  3.74.72 \(\int \frac {144 x+30 x^2+27 x^3+(-160-144 x) \log (-10-9 x)}{150 x^2+135 x^3} \, dx\)
  3.74.73 \(\int \frac {e^{-e^{-x} (-4+x)} (e^x (-4+x) (-25 x+5 x^2)+e^{2 x} (40-50 x+10 x^2))}{-12 x^3+3 x^4} \, dx\)
  3.74.74 \(\int \frac {540 x-315 x^2+50 x^3-25 x^4+e^x (-1125 x^2+1125 x^3-125 x^4+125 x^5)+(-90 x+45 x^2-10 x^3+5 x^4+e^x (450 x^2-450 x^3+50 x^4-50 x^5)) \log (\frac {9+x^2}{x^2})+e^x (-45 x^2+45 x^3-5 x^4+5 x^5) \log ^2(\frac {9+x^2}{x^2})}{27-54 x+30 x^2-6 x^3+3 x^4+e^x (-270 x+270 x^2-30 x^3+30 x^4)+e^{2 x} (675 x^2+75 x^4)+(e^{2 x} (-270 x^2-30 x^4)+e^x (54 x-54 x^2+6 x^3-6 x^4)) \log (\frac {9+x^2}{x^2})+e^{2 x} (27 x^2+3 x^4) \log ^2(\frac {9+x^2}{x^2})} \, dx\)
  3.74.75 \(\int \frac {2-2 \log (x)}{-5 x^2+e^4 x^2} \, dx\)
  3.74.76 \(\int \frac {e^{2 x} (-150+400 x^2+310 x^3-574 x^4-740 x^5-16 x^6+310 x^7+100 x^8)+e^{2 x} (-300+50 x+400 x^2+110 x^3-360 x^4-200 x^5) \log (3+2 x)+e^{2 x} (-150+50 x+100 x^2) \log ^2(3+2 x)}{3 x^3+2 x^4} \, dx\)
  3.74.77 \(\int \frac {16 e^3}{-1+4 x} \, dx\)
  3.74.78 \(\int \frac {e^{\frac {-1-e^5}{-3 e^5 x+e^{5+e^4} x}} (-1+e^5 (-1-3 x)+e^{5+e^4} x)}{-3 e^5 x^3+e^{5+e^4} x^3+e^{\frac {2 (-1-e^5)}{-3 e^5 x+e^{5+e^4} x}} (-3 e^5 x+e^{5+e^4} x)+e^{\frac {-1-e^5}{-3 e^5 x+e^{5+e^4} x}} (-6 e^5 x^2+2 e^{5+e^4} x^2)} \, dx\)
  3.74.79 \(\int \frac {e^{-2 x} (-3 e^{2 x}+e^{6+e^{e^{-2 x} (3+e^4)}} (e^{2 x}+e^{e^{-2 x} (3+e^4)} (6 x+2 e^4 x)))}{x^2} \, dx\)
  3.74.80 \(\int \frac {-1+3 x-9 x^2-2 x^3+4 x^4}{x-2 x^2+x^3} \, dx\)
  3.74.81 \(\int \frac {3 x \log ^5(x)+e^{\frac {2 (81-81 x^2)}{\log ^4(x)}} (-1944+1944 x^2-972 x^2 \log (x))}{x \log ^5(x)} \, dx\)
  3.74.82 \(\int \frac {-80 x^3-40 x^4+e^x (-72+33 x+3 x^2)}{20 x^3} \, dx\)
  3.74.83 \(\int \frac {e^x (-5-15 x-10 x^2)+e^{8 x} (3 x+17 x^2+2 x^3)}{-5 e^x x+e^{8 x} x^2} \, dx\)
  3.74.84 \(\int \frac {-144-240 x-144 x^2-40 x^3-12 x^4-6 x^5-x^6+e^{10+4 x} (-16+16 x+16 x^2)+e^{5+2 x} (-96-32 x+64 x^2+32 x^3)}{8 x^3+12 x^4+6 x^5+x^6} \, dx\)
  3.74.85 \(\int \frac {18 e+e^x (e (-12-12 x)+18 x+9 x^2)+6 e \log (5)}{2 e} \, dx\)
  3.74.86 \(\int \frac {e^2+e^{2+x}+e^{e^{\frac {2 x}{e^2}}+\frac {2 x}{e^2}} (6+2 e^4)}{3 e^2+e^6} \, dx\)
  3.74.87 \(\int \frac {180 x^3-120 x^4 \log (3)+e^{2 x} (200 x-600 x^2+200 x^3 \log (3))+e^x (360 x^2-120 x^3-180 x^4+(-200 x^3+60 x^4+60 x^5) \log (3))+(-60 x^2+180 x^3-60 x^4 \log (3)+e^x (-200 x+700 x^2-300 x^3+(-200 x^3+100 x^4) \log (3))) \log (1-3 x+x^2 \log (3))}{9 x^2-27 x^3+9 x^4 \log (3)+e^{2 x} (25-75 x+25 x^2 \log (3))+e^x (30 x-90 x^2+30 x^3 \log (3))} \, dx\)
  3.74.88 \(\int \frac {1}{9} (18 x-27 x^2+2 x \log ^2(x)-4 x \log (x) \log (3 x+e^4 x)+2 x \log ^2(3 x+e^4 x)) \, dx\)
  3.74.89 \(\int \frac {60 x-11 x^2+5 x^4-x^5+(5+e^x-x) x^{2 x}+e^x (12 x-x^2+x^4)+x^x (31-6 x+10 x^2-2 x^3+e^x (5+2 x^2)+(30+6 e^x-6 x) \log (x))+\log (-\frac {3}{5+e^x-x}) (-10 x-2 e^x x+2 x^2+x^x (-5-e^x+x+(-5-e^x+x) \log (x)))}{5 x^4+e^x x^4-x^5+(5+e^x-x) x^{2 x}+x^x (10 x^2+2 e^x x^2-2 x^3)} \, dx\)
  3.74.90 \(\int \frac {59049 e^{-18+e^x} (-4+4 e^x x \log (x)+4 e^x x \log ^2(x))}{x \log ^2(x)} \, dx\)
  3.74.91 \(\int \frac {64^x \log ^{-1+x}(25+50 x+25 x^2+e^{e^x} (-10-20 x-10 x^2)+e^{2 e^x} (1+2 x+x^2)) (-10 x+e^{e^x} (2 x+e^x (2 x+2 x^2))+(-5-5 x+e^{e^x} (1+x)) \log (25+50 x+25 x^2+e^{e^x} (-10-20 x-10 x^2)+e^{2 e^x} (1+2 x+x^2)) \log (64 \log (25+50 x+25 x^2+e^{e^x} (-10-20 x-10 x^2)+e^{2 e^x} (1+2 x+x^2))))}{-5-5 x+e^{e^x} (1+x)} \, dx\)
  3.74.92 \(\int \frac {4 e^{-3-x} (-1-x) \log ^2(2) \log ^2(\log (2))}{x^2} \, dx\)
  3.74.93 \(\int \frac {20 e^{-25+5 x} \log (7-2 e^{-25+5 x})}{63-18 e^{-25+5 x}+(-7+2 e^{-25+5 x}) \log ^2(7-2 e^{-25+5 x})} \, dx\)
  3.74.94 \(\int \frac {1-x}{x} \, dx\)
  3.74.95 \(\int \frac {-18 x+9 x \log (3 x)-e^{3-\frac {1}{3} e^{\frac {e^3 x}{3}}+\frac {e^3 x}{3}} x \log ^3(3 x)+(-9 x \log (3 x)-9 e^{-\frac {1}{3} e^{\frac {e^3 x}{3}}} \log ^3(3 x)) \log (\frac {x+e^{-\frac {1}{3} e^{\frac {e^3 x}{3}}} \log ^2(3 x)}{\log ^2(3 x)})}{9 x^3 \log (3 x)+9 e^{-\frac {1}{3} e^{\frac {e^3 x}{3}}} x^2 \log ^3(3 x)} \, dx\)
  3.74.96 \(\int \frac {-32+e^x (-72+8 x) \log (x)+e^x (64 x-8 x^2) \log ^2(x)+(-e^{30}+e^{2 x} (144 x-34 x^2+2 x^3)) \log ^3(x)}{e^{30} x \log ^3(x)} \, dx\)
  3.74.97 \(\int \frac {5 e^4 x-15 x^3+e^{-5+x} (45+15 e^4 x-15 x^3)+(15+5 e^4 x-5 x^3) \log (-3-e^4 x+x^3)}{3+e^4 x-x^3} \, dx\)
  3.74.98 \(\int \frac {125+125 x^2-125 \log (x)}{2 x^2} \, dx\)
  3.74.99 \(\int \frac {1-3 x}{x} \, dx\)
  3.74.100 \(\int \frac {-6-2 \sqrt [5]{e}+\sqrt [5]{e} \log (-x)}{-864+432 \sqrt [5]{e} \log (-x)-72 e^{2/5} \log ^2(-x)+4 e^{3/5} \log ^3(-x)} \, dx\)