3.8 Integrals 701 to 800

  3.8.1 \(\int (150 x^5+e^{-12+10 x} (100 x^3+250 x^4)+e^{-6+5 x} (250 x^4+250 x^5)) \, dx\)
  3.8.2 \(\int \frac {3+x^2+e^4 x^2+(2 x+2 e^4 x) \log (3)+(1+e^4) \log ^2(3)+e^{2 x} (x^4+e^4 x^4) \log ^2(3)+e^x (3 x^2+3 x^3+(-2 x^3-2 e^4 x^3) \log (3)+(-2 x^2-2 e^4 x^2) \log ^2(3))}{-3 x-x^2+x^3+e^4 x^3+(-3-2 x+2 x^2+2 e^4 x^2) \log (3)+(-1+x+e^4 x) \log ^2(3)+e^x (3 x^3+(6 x^2+2 x^3-2 x^4-2 e^4 x^4) \log (3)+(2 x^2-2 x^3-2 e^4 x^3) \log ^2(3))+e^{2 x} (-3 x^4 \log (3)+(-x^4+x^5+e^4 x^5) \log ^2(3))} \, dx\)
  3.8.3 \(\int \frac {-288 x+4416 x^2-28803 x^3+104206 x^4-229260 x^5+318269 x^6-283473 x^7+164104 x^8-61968 x^9+15115 x^{10}-2343 x^{11}+236 x^{12}-18 x^{13}+x^{14}+e^{20} (x^4-x^6)+e^{15} (3 x^3-22 x^4+48 x^5-29 x^6+2 x^8)+e^{10} (96 x^2-585 x^3+1047 x^4-315 x^5-435 x^6+171 x^7+45 x^8-18 x^9)+e^5 (288 x-3648 x^2+18729 x^3-49936 x^4+74007 x^5-61691 x^6+29295 x^7-8121 x^8+1494 x^9-253 x^{10}+36 x^{11}-2 x^{12})+(864-13248 x+86427 x^2-312894 x^3+689580 x^4-961317 x^5+864729 x^6-512136 x^7+203472 x^8-55395 x^9+10719 x^{10}-1548 x^{11}+162 x^{12}-9 x^{13}+e^{15} (9 x^3-27 x^4+27 x^6-9 x^7)+e^{10} (27 x^2-270 x^3+999 x^4-1665 x^5+1215 x^6-333 x^7+9 x^9)+e^5 (288 x-2646 x^2+9027 x^3-13797 x^4+9081 x^5-3078 x^6+2934 x^7-2808 x^8+1143 x^9-189 x^{10}+9 x^{11})) \log (x)+(-81 x+1242 x^2-8100 x^3+29295 x^4-64395 x^5+89208 x^6-79056 x^7+45225 x^8-16605 x^9+3780 x^{10}-486 x^{11}+27 x^{12}+e^{10} (27 x^2-162 x^3+270 x^4-270 x^6+162 x^7-27 x^8)+e^5 (81 x-1026 x^2+5265 x^3-14013 x^4+20655 x^5-16929 x^6+7614 x^7-1755 x^8+162 x^9)) \log ^2(x)+(81-1242 x+8100 x^2-29295 x^3+64395 x^4-89208 x^5+79056 x^6-45225 x^7+16605 x^8-3780 x^9+486 x^{10}-27 x^{11}+e^5 (27 x-243 x^2+783 x^3-972 x^4+972 x^6-783 x^7+243 x^8-27 x^9)) \log ^3(x)}{64 x-960 x^2+6080 x^3-21120 x^4+43840 x^5-55872 x^6+43840 x^7-21120 x^8+6080 x^9-960 x^{10}+64 x^{11}} \, dx\)
  3.8.4 \(\int \frac {-9-3 e^5+6 x-x^2}{9-6 x+x^2} \, dx\)
  3.8.5 \(\int \frac {9+6 e^4+6 x+(9+6 x) \log (x)}{-3-2 x+(3 x+2 x^2) \log (x)+e^4 (3+2 x) \log (\frac {1}{2} (3+2 x))} \, dx\)
  3.8.6 \(\int (-5+4 x^3+3 x^2 \log (4)) \, dx\)
  3.8.7 \(\int \frac {e^{\frac {-2+e^x}{15-18 x+3 x^2}} (-12+4 x+e^x (11-8 x+x^2))}{75-180 x+138 x^2-36 x^3+3 x^4} \, dx\)
  3.8.8 \(\int \frac {16 x+16 x^5 \log (5)+4 x^9 \log ^2(5)+(-2+x^4 \log (5)-x^8 \log ^2(5)) \log (x)}{(8 x^2+8 x^6 \log (5)+2 x^{10} \log ^2(5)) \log (x)} \, dx\)
  3.8.9 \(\int \frac {250+10 e^{2 x}-100 x^2+10 x^4+e^2 (-75 x+45 x^2-15 x^3+9 x^4)+e^x (-100+20 x^2+e^2 (15 x-24 x^2+9 x^3))}{-750 x+450 x^2+300 x^3-180 x^4-30 x^5+18 x^6+e^{2 x} (-30 x+18 x^2)+e^x (300 x-180 x^2-60 x^3+36 x^4)} \, dx\)
  3.8.10 \(\int \frac {-15+29 x+4 x^2-4 x^3+(-3+7 x-2 x^2) \log (5)+e^{2 x^2} (-25 x+55 x^2-128 x^3+12 x^4+8 x^5+(-5 x+12 x^2-28 x^3+8 x^4) \log (5))+(25 x+5 x^2+5 x \log (5)) \log (5 x+x^2+x \log (5))}{45 x-21 x^2-x^3+x^4+(9 x-6 x^2+x^3) \log (5)} \, dx\)
  3.8.11 \(\int \frac {-75-30 e^{10+x}-10 e^{10+2 x}-90 x-15 x^2}{81 e^{20}+12 e^{20+3 x}+e^{20+4 x}+225 x^2+270 x^3+111 x^4+18 x^5+x^6+e^{10} (270 x+162 x^2+18 x^3)+e^{2 x} (54 e^{20}+e^{10} (30 x+18 x^2+2 x^3))+e^x (108 e^{20}+e^{10} (180 x+108 x^2+12 x^3))} \, dx\)
  3.8.12 \(\int \frac {e (7-2 x)-2 x+e \log (x)}{e} \, dx\)
  3.8.13 \(\int \frac {e^{\frac {11-4 x^2 \log (x)}{22 \log (x)}} (-11-8 x^2 \log ^2(x))}{22 x \log ^2(x)} \, dx\)
  3.8.14 \(\int \frac {e^{e^{\frac {4 x}{-17+4 e^4+4 x}}+\frac {4 x}{-17+4 e^4+4 x}} (-68 x^2+16 e^4 x^2)+e^x (289+e^8 (16-16 x)-425 x+152 x^2-16 x^3+e^4 (-136+168 x-32 x^2))}{289 x^2+16 e^8 x^2-136 x^3+16 x^4+e^4 (-136 x^2+32 x^3)} \, dx\)
  3.8.15 \(\int \frac {e^x (-72-36 x)+(e^x (-600+16 x+72 x^2)+e^x (-300+8 x+36 x^2) \log (25-9 x)) \log (2+\log (25-9 x)) \log (\log (2+\log (25-9 x)))}{(-50+18 x+(-25+9 x) \log (25-9 x)) \log (2+\log (25-9 x)) \log ^2(\log (2+\log (25-9 x)))} \, dx\)
  3.8.16 \(\int \frac {e^{\frac {40 x+9 e^x x+9 x^2-20 \log (2)}{e^x x+x^2}} (-40 x^2+40 x \log (2)+e^x (-40 x^2+(20+20 x) \log (2)))}{e^{2 x} x^2+2 e^x x^3+x^4} \, dx\)
  3.8.17 \(\int \frac {e^x (-1+2 x) \log (3)+e^x (-2+x) \log (3) \log (9 e^{-x})+e^x (2-x) \log (3) \log (2 x)}{x^3+x^3 \log ^2(9 e^{-x})-2 x^3 \log (2 x)+x^3 \log ^2(2 x)+\log (9 e^{-x}) (2 x^3-2 x^3 \log (2 x))} \, dx\)
  3.8.18 \(\int (1-27 x^2+5 x^4+e^{x^2} (-9 x^2+4 x^3-6 x^4+2 x^5)) \, dx\)
  3.8.19 \(\int \frac {e^{e^{x+e^{-x} (1+x)} x} (1+x+e^{x+e^{-x} (1+x)} (x+2 x^2+x^3-e^{-x} x^3 (1+x)))}{1+x} \, dx\)
  3.8.20 \(\int \frac {-4-4 x+(-2 x^2+e^3 (1+x)) \log (400)}{-4 x+(e^3 x-2 x^2) \log (400)} \, dx\)
  3.8.21 \(\int \frac {1+(x+2 e^{x^2} x^2) \log (x)+(5+2 x) \log (x) \log (4 e^{e^{x^2}+x} \log (x))+\log (x) \log (4 e^{e^{x^2}+x} \log (x)) \log (4 \log (4 e^{e^{x^2}+x} \log (x)))}{\log (x) \log (4 e^{e^{x^2}+x} \log (x))} \, dx\)
  3.8.22 \(\int \frac {-8-33 x+17 x^2+e^x (-15+5 x+5 x^2)+(28+14 x-14 x^2+e^x (10+5 x-5 x^2)) \log (-2-x+x^2)+(-10-5 x+5 x^2) \log ^2(-2-x+x^2)}{-10-5 x+5 x^2+(20+10 x-10 x^2) \log (-2-x+x^2)+(-10-5 x+5 x^2) \log ^2(-2-x+x^2)} \, dx\)
  3.8.23 \(\int \frac {5+8 x-10 x^2-2 x^3-2 x \log (x)}{e^{27/2} (9 x+6 x^3+x^5)+e^{27/2} (-6 x-2 x^3) \log (x)+e^{27/2} x \log ^2(x)} \, dx\)
  3.8.24 \(\int e^{1-x+27 x^3} (2 x-x^2+81 x^4) \, dx\)
  3.8.25 \(\int -\frac {80 \log (3)}{61+20 x} \, dx\)
  3.8.26 \(\int \frac {-16 x^2+16 x^3+(24 x^2-12 x^3) \log (\frac {25}{4 x^2-4 x^3+x^4})}{-2+x} \, dx\)
  3.8.27 \(\int \frac {-10+2 x+(20 x+2 x^2-x^3) \log (x)+(-15-3 x+x^2) \log (x) \log (\log ^2(x))}{(5 x^2-x^3) \log (x)+(-5 x+x^2) \log (x) \log (\log ^2(x))} \, dx\)
  3.8.28 \(\int \frac {2^{\frac {1}{x}} (-120 x^2+(24+120 x) \log (2))}{x^2} \, dx\)
  3.8.29 \(\int \frac {-40000-65000 x-5000 x^2-5000 x^3-16250 x^4-12500 x^5+3750 x^7+3750 x^8+1250 x^9+e^2 (-1250 x^2-2500 x^3)+e (-15000 x-26250 x^2-1250 x^3-1250 x^5-1250 x^6)+(-3200-5200 x-400 x^2-400 x^3-1300 x^4-1000 x^5+300 x^7+300 x^8+100 x^9+e^2 (-100 x^2-200 x^3)+e (-1200 x-2100 x^2-100 x^3-100 x^5-100 x^6)) \log (4)+(-64-104 x-8 x^2-8 x^3-26 x^4-20 x^5+6 x^7+6 x^8+2 x^9+e^2 (-2 x^2-4 x^3)+e (-24 x-42 x^2-2 x^3-2 x^5-2 x^6)) \log ^2(4)+(15000 x+26250 x^2+1250 x^3+1250 x^5+1250 x^6+e (2500 x^2+5000 x^3)+(1200 x+2100 x^2+100 x^3+100 x^5+100 x^6+e (200 x^2+400 x^3)) \log (4)+(24 x+42 x^2+2 x^3+2 x^5+2 x^6+e (4 x^2+8 x^3)) \log ^2(4)) \log (x)+(-1250 x^2-2500 x^3+(-100 x^2-200 x^3) \log (4)+(-2 x^2-4 x^3) \log ^2(4)) \log ^2(x)}{x^5+3 x^6+3 x^7+x^8} \, dx\)
  3.8.30 \(\int \frac {e^{5+x} (-80 x+(-960 x+384 x^2+48 x^3) \log (2))+e^{5+x} (1280-1200 x-80 x^2+(-1024+1984 x-1152 x^2+176 x^3+16 x^4) \log (2)) \log (-80-5 x+(64-60 x+12 x^2+x^3) \log (2))}{-80 x^2-5 x^3+(64 x^2-60 x^3+12 x^4+x^5) \log (2)} \, dx\)
  3.8.31 \(\int \frac {-4065+100 x-134 x^2+4 x^3-x^4}{-17875+5165 x-742 x^2+146 x^3-7 x^4+x^5} \, dx\)
  3.8.32 \(\int \frac {(200-75 x+3 x^3) \log ^2(5)}{64 x^3-32 x^4+4 x^5} \, dx\)
  3.8.33 \(\int \frac {-2 e^3+x}{x^2} \, dx\)
  3.8.34 \(\int \frac {896 x+2 e^{2 x} x+68 x^2-324 x^3+5 x^4+50 x^5+e^x (-88 x+7 x^2+23 x^3)}{768+3 e^{2 x}-96 x-477 x^2+30 x^3+75 x^4+e^x (-96+6 x+30 x^2)} \, dx\)
  3.8.35 \(\int \frac {-522-261 e^{15+x}+18 e^{15+x} x \log (2+e^{15+x})+(-18-9 e^{15+x}) \log ^2(2+e^{15+x})}{16 x^2+8 e^{15+x} x^2} \, dx\)
  3.8.36 \(\int \frac {-6 x-3 x^2+e^{5-e^{\frac {1}{6} (18-\log (4 x+2 x^2))}-x} (-6 x-3 x^2+e^{\frac {1}{6} (18-\log (4 x+2 x^2))} (1+x))}{6 x+3 x^2} \, dx\)
  3.8.37 \(\int \frac {-x^2+x^3+x^4+9 x^6+e^{2 x} (2-3 x-9 x^3)+(-x^3-9 x^5) \log (x)}{e^{2 x} x-x^4+x^3 \log (x)} \, dx\)
  3.8.38 \(\int \frac {256 x-4 e^{4+4 x} x+(e^{4+4 x} (1-x)-256 x+256 x^2) \log (\frac {1}{256} (e^{4+4 x}-256 x))}{(e^{4+5 x}-256 e^x x) \log ^2(\frac {1}{256} (e^{4+4 x}-256 x))} \, dx\)
  3.8.39 \(\int \frac {3+2 x^3+(-3+x^3) \log (\frac {3-x^3}{x})+(-3+x^3) \log (\frac {3-x^3}{x}) \log (\log (\frac {3-x^3}{x}))}{(-3+x^3) \log (\frac {3-x^3}{x})} \, dx\)
  3.8.40 \(\int -\log (5) \, dx\)
  3.8.41 \(\int (-5+5 e^{-2+x}+e^{-59-16 x-x^2} (-960-120 x)) \, dx\)
  3.8.42 \(\int \frac {2 x+4 x^2-x \log (6)+(4 x+4 x^2-2 x \log (6)) \log (x)}{80+320 x+320 x^2+(-80-160 x) \log (6)+20 \log ^2(6)} \, dx\)
  3.8.43 \(\int \frac {e^{-\frac {x}{\log (2 x)}} (e^{-4+x} x^2-e^{-4+x} x^2 \log (2 x)+e^{-4+x} (2 x+x^2) \log ^2(2 x))}{\log ^2(2 x)} \, dx\)
  3.8.44 \(\int \frac {-6+2 \log (\log (x))}{x \log (x)} \, dx\)
  3.8.45 \(\int \frac {25+150 x+50 x^2+e^5 (-25 x-25 x^2)+25 x \log (x)}{4 x+2 x^2-e^5 x^2+x \log (x)} \, dx\)
  3.8.46 \(\int \frac {8 x+40 e^{2 x^2} x+(8 x+e^{2 x^2} (40 x-80 x^3)) \log (x) \log (\log ^2(x))}{(3+30 e^{2 x^2}+75 e^{4 x^2}) \log (x)} \, dx\)
  3.8.47 \(\int \frac {e^{9+9 e^{8 x}-18 x-9 x^2+18 x^3+9 x^4+e^{4 x} (18-18 x-18 x^2)} (55+e^{8 x} (-216+72 e^x-72 x)+72 x-144 x^2-162 x^3-36 x^4+e^x (-19-18 x+54 x^2+36 x^3)+e^{4 x} (-162+270 x+324 x^2+72 x^3+e^x (54-108 x-72 x^2)))+e^{9+9 e^{8 x}-18 x-9 x^2+18 x^3+9 x^4+e^{4 x} (18-18 x-18 x^2)} (54+e^{8 x} (-216+72 e^x-72 x)+72 x-144 x^2-162 x^3-36 x^4+e^x (-18-18 x+54 x^2+36 x^3)+e^{4 x} (-162+270 x+324 x^2+72 x^3+e^x (54-108 x-72 x^2))) \log (3-e^x+x)}{-3+e^x-x+(-6+2 e^x-2 x) \log (3-e^x+x)+(-3+e^x-x) \log ^2(3-e^x+x)} \, dx\)
  3.8.48 \(\int \frac {5 x^3+10 e^{2 x} x^3+e^{x^2} (8+2 x-8 x^2-2 x^3+e^{2 x} (2-2 x^2))}{e^{x^2} (-4 x-e^{2 x} x-x^2)+(20 x^3+5 e^{2 x} x^3+5 x^4) \log (4+e^{2 x}+x)} \, dx\)
  3.8.49 \(\int \frac {-3-3 x+2 x^2 \log (x)}{x^3} \, dx\)
  3.8.50 \(\int \frac {25}{18} x^{2 x} (5+10 x-\frac {9 x^{-2 x}}{5}+10 x \log (x)) \, dx\)
  3.8.51 \(\int \frac {e^2 (-9600-7680 x)+7680 e x+1920 e^3 x+128 e^{2 x/3} x^3+e^{x/3} (512 x^3+128 e^2 x^3+e (1920 x-640 x^2-512 x^3))}{3 x^3} \, dx\)
  3.8.52 \(\int \frac {1}{4} (1+32 x^3-64 e^2 x^3+32 e^4 x^3+(-64 e^2 x^3+64 e^4 x^3) \log (3)+32 e^4 x^3 \log ^2(3)) \, dx\)
  3.8.53 \(\int \frac {156621970562+2 e^{8+16 x}+e^{7+14 x} (-368-16 x)+53292920040 x+7984703253 x^2+687869280 x^3+37265659 x^4+1300140 x^5+28529 x^6+360 x^7+2 x^8+e^{6+12 x} (29624+2568 x+56 x^2)+e^{5+10 x} (-1362704-176640 x-7680 x^2-112 x^3)+e^{4+8 x} (39177740+6750040 x+438853 x^2+12752 x^3+140 x^4)+e^{3+6 x} (-720870416-154764240 x-13374316 x^2-580936 x^3-12696 x^4-112 x^5)+e^{2+4 x} (8290009784+2129030328 x+229267542 x^2+13236768 x^3+432290 x^4+7584 x^5+56 x^6)+e^{1+2 x} (-54477207152-16271075104 x-2096082092 x^2-150849272 x^3-6550112 x^4-171720 x^5-2520 x^6-16 x^7)}{313243941124+4 e^{8+16 x}+e^{7+14 x} (-736-32 x)+106585840080 x+15967727460 x^2+1375548120 x^3+74525153 x^4+2600280 x^5+57060 x^6+720 x^7+4 x^8+e^{6+12 x} (59248+5136 x+112 x^2)+e^{5+10 x} (-2725408-353280 x-15360 x^2-224 x^3)+e^{4+8 x} (78355480+13500080 x+877700 x^2+25520 x^3+280 x^4)+e^{3+6 x} (-1441740832-309528480 x-26748080 x^2-1162960 x^3-25440 x^4-224 x^5)+e^{2+4 x} (16580019568+4258060656 x+458516040 x^2+26497832 x^3+866760 x^4+15216 x^5+112 x^6)+e^{1+2 x} (-108954414304-32542150208 x-4191872176 x^2-301868192 x^3-13124704 x^4-344528 x^5-5056 x^6-32 x^7)} \, dx\)
  3.8.54 \(\int \frac {-5 e^4+5 x^2-5 x^3-5 x^4+(10 e^4-5 x^3-10 x^4) \log (x) \log (\log (x))+(e^4 (18-3 x)-8 x^3-18 x^4+x^5) \log (x) \log ^2(\log (x))}{25 x^3 \log (x)+(90 x^3-10 x^4) \log (x) \log (\log (x))+(81 x^3-18 x^4+x^5) \log (x) \log ^2(\log (x))} \, dx\)
  3.8.55 \(\int \frac {125+20 x-5 x^2+(-125-5 x^2) \log (e^6 x)+(150+6 x^2) \log ^2(e^6 x)}{25 x^2-60 x^2 \log (e^6 x)+36 x^2 \log ^2(e^6 x)} \, dx\)
  3.8.56 \(\int \frac {e^{1+8 x+x^2+x \log (\frac {7-3 e^4+6 x}{3 x})} (-49-62 x-12 x^2+e^4 (21+6 x)+(-7+3 e^4-6 x) \log (\frac {7-3 e^4+6 x}{3 x}))}{-7+3 e^4-6 x} \, dx\)
  3.8.57 \(\int \frac {1}{5} (5+(51-10 x) \log (4)) \, dx\)
  3.8.58 \(\int \frac {-8 e^3 x-32 x^3+8 e^3 x \log (-x^2)+(-e^6+48 x^2-16 x^4+e^3 (-12-8 x^2)) \log ^2(-x^2)}{(e^6+8 e^3 x^2+16 x^4) \log ^2(-x^2)} \, dx\)
  3.8.59 \(\int \frac {1+100 \log (x)+5 \log ^2(x)-\log (x) \log (\log (x))}{(-105 x+5 x^2) \log (x)-5 x \log ^2(x)+x \log (x) \log (\log (x))} \, dx\)
  3.8.60 \(\int \frac {5-5 x+e^{\frac {-x^3+\log (50 x)}{x}} (-x^2+(1-x-2 x^3+2 x^4) \log (1-x)+(-1+x) \log (1-x) \log (50 x))}{-25+25 x+e^{\frac {-x^3+\log (50 x)}{x}} (10 x-10 x^2) \log (1-x)+e^{\frac {2 (-x^3+\log (50 x))}{x}} (-x^2+x^3) \log ^2(1-x)} \, dx\)
  3.8.61 \(\int \frac {\log ^{\frac {5}{x}}(5) (-2 x-5 \log (\log (5)))}{30 x^4} \, dx\)
  3.8.62 \(\int \frac {-8 x-2 x \log (4)+2 \log (\frac {3}{x})+(4 x+x \log (4)) \log ^2(\frac {3}{x})+(-2+\log ^2(\frac {3}{x})) \log (\frac {1}{6} e^{-4 x-x \log (4)} (-2+\log ^2(\frac {3}{x})))}{(-2 x+x \log ^2(\frac {3}{x})) \log (\frac {1}{6} e^{-4 x-x \log (4)} (-2+\log ^2(\frac {3}{x})))} \, dx\)
  3.8.63 \(\int \frac {-2 x^2+(-2-4 x+e^x (-1-x+2 x^2)) \log (-3-6 x)}{(4-24 x+128 x^3+e^{2 x} (1+2 x)+e^x (4-8 x-32 x^2)) \log (-3-6 x)+(-4 x+8 x^2+32 x^3+e^x (-2 x-4 x^2)) \log (-3-6 x) \log (\log (-3-6 x))+(x^2+2 x^3) \log (-3-6 x) \log ^2(\log (-3-6 x))} \, dx\)
  3.8.64 \(\int \frac {360+600 x+262 x^2+48 x^3-34 x^4-30 x^5+e^4 (-900-900 x-15 x^2+360 x^3+114 x^4-36 x^5-15 x^6)}{36 x^2+60 x^3+25 x^4+e^4 (-360 x-600 x^2-178 x^3+120 x^4+50 x^5)+e^8 (900+1500 x+265 x^2-600 x^3-214 x^4+60 x^5+25 x^6)} \, dx\)
  3.8.65 \(\int \frac {162+54 x+4 x^2+2 x^3-2 x^4+(-18 x-2 x^2-2 x^3) \log (2 x)+(81+36 x-11 x^2-4 x^3+x^4+(-18 x-4 x^2+2 x^3) \log (2 x)+x^2 \log ^2(2 x)) \log (\frac {486+216 x-66 x^2-24 x^3+6 x^4+(-108 x-24 x^2+12 x^3) \log (2 x)+6 x^2 \log ^2(2 x)}{x^2})}{(81+36 x-11 x^2-4 x^3+x^4+(-18 x-4 x^2+2 x^3) \log (2 x)+x^2 \log ^2(2 x)) \log ^2(\frac {486+216 x-66 x^2-24 x^3+6 x^4+(-108 x-24 x^2+12 x^3) \log (2 x)+6 x^2 \log ^2(2 x)}{x^2})} \, dx\)
  3.8.66 \(\int \frac {15 x^2+6 x^3-3 x^2 \log (3)}{25+30 x+9 x^2+(-10-6 x) \log (3)+\log ^2(3)} \, dx\)
  3.8.67 \(\int \frac {-4 x+16 x^4+4 x^5-4 x^6+(-4-4 x+x^2+20 x^4+4 x^5-5 x^6) \log (x)}{8-8 x+2 x^2+(16-16 x+4 x^2) \log (x)+(8-8 x+2 x^2) \log ^2(x)} \, dx\)
  3.8.68 \(\int \frac {e^{\frac {5+20 x^2-5 \log (\frac {4+e^{2 x}}{5 x^2})}{x}} (20+80 x^2+e^{2 x} (5-10 x+20 x^2)+(20+5 e^{2 x}) \log (\frac {4+e^{2 x}}{5 x^2}))}{4 x^2+e^{2 x} x^2} \, dx\)
  3.8.69 \(\int \frac {e^{-15-x} (e^{16+x}-2 e^5 x^2+2 x^3-x^4)}{x^2} \, dx\)
  3.8.70 \(\int \frac {-10 x^2-11 x^3+120 x^6+120 x^7+(3 x^2+3 x^3-40 x^6-40 x^7) \log (x+x^2)}{e^{-20+10 x^4} (9+9 x)+e^{-20+10 x^4} (-6-6 x) \log (x+x^2)+e^{-20+10 x^4} (1+x) \log ^2(x+x^2)} \, dx\)
  3.8.71 \(\int \frac {16-4 e^x+(-8+e^x (2+4 x)) \log (x)+(2+3 x) \log ^2(x)}{(-8 x+2 e^x x) \log (x)+(2 x+x^2) \log ^2(x)} \, dx\)
  3.8.72 \(\int e^5 (320 x^3+80 x^4) \log (5) \, dx\)
  3.8.73 \(\int \frac {1}{4} (4-2 e x-16 x^3+e^2 (2 x+x^3)) \, dx\)
  3.8.74 \(\int (8 x+6 x^2+8 x^3+e^{2 x} (-6 x^2-4 x^3)+6 x^2 \log (4)) \, dx\)
  3.8.75 \(\int \frac {(2 e^2+2 e^{8 x}+8 e^{6 x} x-4 e x^2+2 x^4+e^{4 x} (-4 e+12 x^2-8 \log (5))-4 x \log (5)+e^{2 x} (-8 e x+8 x^3+(-4-8 x) \log (5))) \log (\frac {e x-e^{4 x} x-2 e^{2 x} x^2-x^3-\log (5)}{e^{4 x} \log (5)+2 e^{2 x} x \log (5)+(-e+x^2) \log (5)})}{e^2 x+e^{8 x} x+4 e^{6 x} x^2-2 e x^3+x^5+(-e+x^2) \log (5)+e^{4 x} (-2 e x+6 x^3+\log (5))+e^{2 x} (-4 e x^2+4 x^4+2 x \log (5))} \, dx\)
  3.8.76 \(\int \frac {e^{e^{\frac {-5+x^2+x^3}{x}} (4 x-x^2)+8 e^{\frac {-5+x^2+x^3}{x}} x^3 \log (x)} (e^{\frac {-5+x^2+x^3}{x}} (20-x+2 x^2+15 x^3-2 x^4)+e^{\frac {-5+x^2+x^3}{x}} (40 x^2+24 x^3+8 x^4+16 x^5) \log (x))}{x} \, dx\)
  3.8.77 \(\int \frac {1-6 x^2 \log (5)}{5 x} \, dx\)
  3.8.78 \(\int \frac {-10+4 x+(-2+2 x-x^2) \log (x)+(2-x) \log (-\frac {x}{-2+x})}{-2 x+x^2+(-4 x+2 x^2) \log (x)+(-2 x+x^2) \log ^2(x)} \, dx\)
  3.8.79 \(\int \frac {e^{\frac {9-3 x^2-x^2 \log (16)}{x^2}} (-72+4 x^2)+e^{x+\frac {9-3 x^2-x^2 \log (16)}{x^2}} (-18+x^2+x^3)}{x^2} \, dx\)
  3.8.80 \(\int \frac {1}{10} e^{-\frac {e^{16+x}}{2}} (2+8 x+e^{e^x} (2+2 e^x x-e^{16+x} x)+e^{16+x} (-x-2 x^2)) \, dx\)
  3.8.81 \(\int e^{5-36 x^2+60 x^3-13 x^4-10 x^5-x^6+e^{4 x} (-9 x^4+18 x^5-9 x^6)+e^{2 x} (36 x^3-66 x^4+24 x^5+6 x^6)} (-72 x+180 x^2-52 x^3-50 x^4-6 x^5+e^{4 x} (-36 x^3+54 x^4+18 x^5-36 x^6)+e^{2 x} (108 x^2-192 x^3-12 x^4+84 x^5+12 x^6)) \, dx\)
  3.8.82 \(\int \frac {e^5 (54 e x+e^2 (36+6 x^3))+(-18 e x+e^2 (-12-2 x^3)) \log (\frac {e x^2+x^3}{-3+x^3})}{-3 x^2+x^5+e (-3 x+x^4)} \, dx\)
  3.8.83 \(\int \frac {-4 x+8 x^2-5 x^3+x^4+(-4 x^2+4 x^3-x^4) \log (x)+(-2 x+3 x^2) \log ^2(x)+(2-2 x) \log (\frac {e^x}{3}) \log ^2(x)}{(4 x^2-4 x^3+x^4) \log ^2(x)} \, dx\)
  3.8.84 \(\int \frac {5^{e x} (\frac {x^4}{6+6 x^2})^{e x} (1+x^2+e (4 x+2 x^3)+e (x+x^3) \log (\frac {5 x^4}{6+6 x^2}))}{1+x^2} \, dx\)
  3.8.85 \(\int \frac {10+17 x-10 x^2}{5 x} \, dx\)
  3.8.86 \(\int \frac {243 (e^{5-x} (3 x+4 x^2)-3 \log (5)+e^{5-x} (-15 x-25 x^2+20 x^3) \log (x))}{(e^{5-x} (3 x+4 x^2)-3 \log (5))^5 (e^{5-x} (3 x^2+4 x^3)-3 x \log (5))} \, dx\)
  3.8.87 \(\int \frac {e^{\frac {2 (4-x^3 \log (-e^x-x+\log (-15+5 x)))}{\log (-e^x-x+\log (-15+5 x))}} (-32+8 x+e^x (-24+8 x)+(-18 x^3+6 x^4+e^x (-18 x^2+6 x^3)+(18 x^2-6 x^3) \log (-15+5 x)) \log ^2(-e^x-x+\log (-15+5 x)))}{(e^x (3-x)+3 x-x^2+(-3+x) \log (-15+5 x)) \log ^2(-e^x-x+\log (-15+5 x))} \, dx\)
  3.8.88 \(\int \frac {x^2+e^{e^x+x} x^2+e^{3+e^x} (-5+5 e^x x)}{x^2} \, dx\)
  3.8.89 \(\int \frac {1}{16} (96 x-3 x^2) \, dx\)
  3.8.90 \(\int \frac {19 x^3-3 x^4+e^8 (729 x-81 x^2)+e^4 (252 x^2-36 x^3)+(162 e^8 x+54 e^4 x^2+4 x^3) \log (x)}{25-10 x+x^2+(10-2 x) \log (x)+\log ^2(x)} \, dx\)
  3.8.91 \(\int \frac {3468+2155 x+462 x^2+39 x^3+x^4+e^{-6-6 x} (27+x)+e^{-4-4 x} (414+93 x+3 x^2)+e^{-2-2 x} (2091+876 x+105 x^2+3 x^3)+(-510 x+180 e^{-4-4 x} x-90 x^2+e^{-2-2 x} (930 x+180 x^2)) \log (x)}{64 x+e^{-6-6 x} x+48 x^2+12 x^3+x^4+e^{-4-4 x} (12 x+3 x^2)+e^{-2-2 x} (48 x+24 x^2+3 x^3)} \, dx\)
  3.8.92 \(\int \frac {e^{\frac {4}{2 x+x^2}} (-8-8 x)+8 x^3+8 x^4+2 x^5+e^{\frac {2}{2 x+x^2}} (-8 x+8 x^3+2 x^4)+e^{e^4+2 e^{e^4+e^x-x}+e^x-x} (-8 x^2-8 x^3-2 x^4+e^x (8 x^2+8 x^3+2 x^4))+e^{e^{e^4+e^x-x}} (e^{\frac {2}{2 x+x^2}} (-8-8 x)+8 x^2+8 x^3+2 x^4+e^{e^4+e^x-x} (-8 x^3-8 x^4-2 x^5+e^{\frac {2}{2 x+x^2}} (-8 x^2-8 x^3-2 x^4)+e^x (8 x^3+8 x^4+2 x^5+e^{\frac {2}{2 x+x^2}} (8 x^2+8 x^3+2 x^4))))}{4 x^2+4 x^3+x^4} \, dx\)
  3.8.93 \(\int \frac {x^2-512 x^3+96 x^4-4 x^5+e^{2 x} (1-512 x+96 x^2-4 x^3)+e^x (1-3 x+1024 x^2-192 x^3+8 x^4)}{e^{2 x}-2 e^x x+x^2} \, dx\)
  3.8.94 \(\int \frac {1}{3} (-64-30 x+(-8-4 x) \log (x)) \, dx\)
  3.8.95 \(\int \frac {416+68 x-84 x^2+(-128-16 x+16 x^2) \log (8+x-x^2)}{-1352+247 x+189 x^2-56 x^3+4 x^4+(832-24 x-120 x^2+16 x^3) \log (8+x-x^2)+(-128-16 x+16 x^2) \log ^2(8+x-x^2)} \, dx\)
  3.8.96 \(\int \frac {9-24 x-30 x^2+(5+9 x) \log (2 x)}{-x-10 x^2-6 x^3+(5 x+3 x^2) \log (2 x)} \, dx\)
  3.8.97 \(\int \frac {e^{\frac {4 x^4}{4 e^{\frac {6 x}{10+2 \log (x)}} x^2-4 e^{\frac {3 x}{10+2 \log (x)}} x \log (\frac {1}{x})+\log ^2(\frac {1}{x})}} (-200 x^3-400 x^3 \log (\frac {1}{x})+(-80 x^3-160 x^3 \log (\frac {1}{x})) \log (x)+(-8 x^3-16 x^3 \log (\frac {1}{x})) \log ^2(x)+e^{\frac {3 x}{10+2 \log (x)}} (400 x^4-96 x^5+(160 x^4-24 x^5) \log (x)+16 x^4 \log ^2(x)))}{-25 \log ^3(\frac {1}{x})-10 \log ^3(\frac {1}{x}) \log (x)-\log ^3(\frac {1}{x}) \log ^2(x)+e^{\frac {9 x}{10+2 \log (x)}} (200 x^3+80 x^3 \log (x)+8 x^3 \log ^2(x))+e^{\frac {6 x}{10+2 \log (x)}} (-300 x^2 \log (\frac {1}{x})-120 x^2 \log (\frac {1}{x}) \log (x)-12 x^2 \log (\frac {1}{x}) \log ^2(x))+e^{\frac {3 x}{10+2 \log (x)}} (150 x \log ^2(\frac {1}{x})+60 x \log ^2(\frac {1}{x}) \log (x)+6 x \log ^2(\frac {1}{x}) \log ^2(x))} \, dx\)
  3.8.98 \(\int \frac {40-10 x-10 x \log (\frac {i \pi +\log (-8+2 e^2)}{x})+5 x \log ^2(\frac {i \pi +\log (-8+2 e^2)}{x})}{x \log ^2(\frac {i \pi +\log (-8+2 e^2)}{x})} \, dx\)
  3.8.99 \(\int \frac {16 x-4 e^x x+e^{2 x} x+(-112-128 x-16 x^2+e^{2 x} (-6-7 x-x^2)+e^x (52+60 x+8 x^2)) \log (\frac {-28-4 x+e^x (6+x)}{-4+e^x})}{(112 x^3+16 x^4+e^x (-52 x^3-8 x^4)+e^{2 x} (6 x^3+x^4)) \log (\frac {-28-4 x+e^x (6+x)}{-4+e^x})+(224 x^2+32 x^3+e^x (-104 x^2-16 x^3)+e^{2 x} (12 x^2+2 x^3)) \log (\frac {-28-4 x+e^x (6+x)}{-4+e^x}) \log (\frac {x}{\log (\frac {-28-4 x+e^x (6+x)}{-4+e^x})})+(112 x+16 x^2+e^x (-52 x-8 x^2)+e^{2 x} (6 x+x^2)) \log (\frac {-28-4 x+e^x (6+x)}{-4+e^x}) \log ^2(\frac {x}{\log (\frac {-28-4 x+e^x (6+x)}{-4+e^x})})} \, dx\)
  3.8.100 \(\int \frac {100+250 x-37 x^2-3 x^3+e^x (-75 x+27 x^2+x^3)+(-25 x-2 x^2) \log (x)}{25 x} \, dx\)