3.35 Integrals 3401 to 3500

  3.35.1 \(\int (1152+1800 x+2032 x^2+1130 x^3+934 x^4+526 x^5+114 x^6+8 x^7+e^8 (8 x-4 x^2+4 x^3)+e^6 (16+112 x-12 x^2+40 x^3+20 x^4)+e^4 (200+616 x+218 x^2+192 x^3+202 x^4+36 x^5)+e^2 (832+1632 x+1312 x^2+664 x^3+716 x^4+272 x^5+28 x^6)+(1024+1792 x+1740 x^2+1914 x^3+1006 x^4+206 x^5+14 x^6+e^8 (4-2 x+6 x^2)+e^6 (64+80 x^2+32 x^3)+e^4 (384+208 x+448 x^2+364 x^3+60 x^4)+e^2 (1024+1152 x+1328 x^2+1416 x^3+488 x^4+48 x^5)) \log (x)+(512 x+2 e^8 x+864 x^2+452 x^3+90 x^4+6 x^5+e^6 (32 x+12 x^2)+e^4 (192 x+150 x^2+24 x^3)+e^2 (512 x+624 x^2+208 x^3+20 x^4)) \log ^2(x)) \, dx\)
  3.35.2 \(\int \frac {-32+12 x+2 e^x x^3-8 x^4}{8 x-6 x^2+9 x^3+e^x x^3-2 x^5} \, dx\)
  3.35.3 \(\int \frac {e^{\frac {\log ^2(2 x)}{25 x^4-10 x^6+x^8}} (-375 x^4-250 x^5+225 x^6+150 x^7-45 x^8-30 x^9+3 x^{10}+2 x^{11}+(-30-10 x+6 x^2+2 x^3) \log (2 x)+(60+20 x-24 x^2-8 x^3) \log ^2(2 x))}{-125 x^4+75 x^6-15 x^8+x^{10}} \, dx\)
  3.35.4 \(\int \frac {-25 e-4 x^4+4 x^4 \log (x)}{20 x^6} \, dx\)
  3.35.5 \(\int \frac {17 x+8 x^2+(2+x) \log (2+x)}{2+x} \, dx\)
  3.35.6 \(\int \frac {-54 x+81 x^3+e^8 (-6 x+9 x^3)+e^{2 x} (-5 x-6 x^2+9 x^3)+e^4 (-36 x+54 x^3)+e^x (-2+30 x+18 x^2-54 x^3+e^4 (10 x+6 x^2-18 x^3))+(36 x-54 x^3+e^4 (12 x-18 x^3)+e^x (-10 x-6 x^2+18 x^3)) \log (x)+(-6 x+9 x^3) \log ^2(x)}{81 x^3+54 e^4 x^3+9 e^8 x^3+e^{2 x} (x-6 x^2+9 x^3)+e^x (18 x^2-54 x^3+e^4 (6 x^2-18 x^3))+(-54 x^3-18 e^4 x^3+e^x (-6 x^2+18 x^3)) \log (x)+9 x^3 \log ^2(x)} \, dx\)
  3.35.7 \(\int \frac {1}{x} \, dx\)
  3.35.8 \(\int \frac {e^{2+3 x} (1+\log (x^2))^3 (30+15 x+(15+15 x) \log (x^2)+15 \log ^2(x^2))}{(-4-4 x-4 \log (x^2))^3 (1+x+(2+x) \log (x^2)+\log ^2(x^2))} \, dx\)
  3.35.9 \(\int -30 e^{-x} \, dx\)
  3.35.10 \(\int e^{-x} (7-7 e^x-7 x) \, dx\)
  3.35.11 \(\int \frac {2 e^{2+2 x}+e^{5 x} (-10 e^{2+2 x}+4 e^{4+4 x})+e^{4+4 x} (8-4 x)+(-2+e^{5 x} (10-4 e^{2+2 x})+e^{2+2 x} (-8+4 x)) \log (-2-e^{5 x}+x)}{2+e^{5 x}-x} \, dx\)
  3.35.12 \(\int \frac {-200 x^3-80 x^3 \log (2)-8 x^3 \log ^2(2)+(24000 x^2+3100 x^3+(9600 x^2+1240 x^3) \log (2)+(960 x^2+124 x^3) \log ^2(2)) \log (x^2)+(-960000 x-252000 x^2-17000 x^3+(-384000 x-100800 x^2-6800 x^3) \log (2)+(-38400 x-10080 x^2-680 x^3) \log ^2(2)) \log ^2(x^2)+(12800000+5280000 x+780000 x^2+40000 x^3+(5120000+2112000 x+312000 x^2+16000 x^3) \log (2)+(512000+211200 x+31200 x^2+1600 x^3) \log ^2(2)) \log ^3(x^2)+(-6400000-4800000 x-900000 x^2-50000 x^3+(-2560000-1920000 x-360000 x^2-20000 x^3) \log (2)+(-256000-192000 x-36000 x^2-2000 x^3) \log ^2(2)) \log ^4(x^2)+(31999975+12000000 x+1500000 x^2+62500 x^3+(12800000+4800000 x+600000 x^2+25000 x^3) \log (2)+(1280000+480000 x+60000 x^2+2500 x^3) \log ^2(2)) \log ^5(x^2)}{25 \log ^5(x^2)} \, dx\)
  3.35.13 \(\int e^{3 x+e^{1+e^{e^{5+x}}+e^x \log (5)} x} (1+3 x+e^{1+e^{e^{5+x}}+e^x \log (5)} (x+e^{5+e^{5+x}+x} x^2+e^x x^2 \log (5))) \, dx\)
  3.35.14 \(\int \frac {e^{18+e^4-3 x-x \log (x)} (-4-\log (x))}{2+\log (2)} \, dx\)
  3.35.15 \(\int \frac {-117+396 x-225 x^2-36 x^3+27 x^4+e^2 (54-198 x+162 x^2-36 x^3)}{4+e^4+e^2 (-4-2 x)+4 x+x^2} \, dx\)
  3.35.16 \(\int e^{16-32 e^8 x^2+24 e^{16} x^4-8 e^{24} x^6+e^{32} x^8} (-1+64 e^8 x^2-96 e^{16} x^4+48 e^{24} x^6-8 e^{32} x^8) \, dx\)
  3.35.17 \(\int \frac {32 x^2+(12-16 x^2) \log (3-4 x^2)}{-9 x^2+12 x^4+(-3 x+4 x^3) \log (3-4 x^2)} \, dx\)
  3.35.18 \(\int -e^{e^3} \, dx\)
  3.35.19 \(\int \frac {-2-\log (\frac {1}{x^2})}{32 x^2} \, dx\)
  3.35.20 \(\int \frac {(1-4 x-1083 x^2-608 x^3-80 x^4) \log (4)}{x^2-4 x^3-718 x^4+1140 x^5+130897 x^6+109808 x^7+34656 x^8+4864 x^9+256 x^{10}} \, dx\)
  3.35.21 \(\int \frac {-2+2 e^x}{(5 e^x-5 x) \log ^2(-e^x \log (3)+x \log (3))} \, dx\)
  3.35.22 \(\int \frac {19+2 x-2 x^2}{-17+2 x+2 x^2} \, dx\)
  3.35.23 \(\int \frac {-15 x+18 x^2+15 x^3-14 x^4+e^3 (12-15 x-16 x^2+15 x^3)+(2 x^3-2 x^4+e^3 (-2 x^2+2 x^3)) \log (-x^5+x^6+e^3 (x^4-x^5))}{100 x^2-100 x^3+e^3 (-100 x+100 x^2)+(20 x^2-20 x^3+e^3 (-20 x+20 x^2)) \log (-x^5+x^6+e^3 (x^4-x^5))+(x^2-x^3+e^3 (-x+x^2)) \log ^2(-x^5+x^6+e^3 (x^4-x^5))} \, dx\)
  3.35.24 \(\int \frac {1}{5} (-738-360 x) \, dx\)
  3.35.25 \(\int \frac {-1+(7 x-2 x^2-2 e^{x^2} x^2) \log (4 x)}{x \log (4 x)} \, dx\)
  3.35.26 \(\int \frac {e^{x-\frac {2 \log ^2(4)}{-3 \log ^2(4)+e^x (x^2-2 x \log (3) \log (4)+\log ^2(3) \log ^2(4))}} ((-8 x-4 x^2) \log ^2(4)+(8+8 x) \log (3) \log ^3(4)-4 \log ^2(3) \log ^4(4))}{9 \log ^4(4)+e^x (-6 x^2 \log ^2(4)+12 x \log (3) \log ^3(4)-6 \log ^2(3) \log ^4(4))+e^{2 x} (x^4-4 x^3 \log (3) \log (4)+6 x^2 \log ^2(3) \log ^2(4)-4 x \log ^3(3) \log ^3(4)+\log ^4(3) \log ^4(4))} \, dx\)
  3.35.27 \(\int \frac {11250+6000 x+1050 x^2-60 x^3-90 x^4-24 x^5-2 x^6+e^{10/x} (250 x+100 x^2+10 x^3)+e^{5/x} (-3750-2750 x-900 x^2-100 x^3+10 x^4+2 x^5)}{25 x^3+10 x^4+x^5} \, dx\)
  3.35.28 \(\int \frac {-60-30 x+(-30+15 x+6 x^2-3 x^3) \log (\frac {20-4 x^2}{x^2})}{(-160-240 x-88 x^2+28 x^3+24 x^4+4 x^5) \log ^2(\frac {20-4 x^2}{x^2})} \, dx\)
  3.35.29 \(\int \frac {e^x (-220-20 x+40 \log (2))+e^x (44+4 x) \log (2) \log (11+x)+(e^x (-220-240 x-20 x^2+(-44 x-48 x^2-4 x^3) \log (2))+e^x (44+48 x+4 x^2) \log (2) \log (11+x)) \log (\frac {(1+x) \log (2)}{-5-x \log (2)+\log (2) \log (11+x)})}{-55-60 x-5 x^2+(-11 x-12 x^2-x^3) \log (2)+(11+12 x+x^2) \log (2) \log (11+x)} \, dx\)
  3.35.30 \(\int \frac {-58 x+19 x^2+64 x^3+20 x^4+(4 x-3 x^2-x^3) \log (x)+(-40 x+30 x^3+10 x^4) \log (\frac {-8+8 x}{x})}{-20+15 x^2+5 x^3} \, dx\)
  3.35.31 \(\int \frac {(-36 x^2+36 x \log (x)) \log (x-\log (x))+\frac {e^x (-15+15 x+(-15 x-15 x^2+(15+15 x) \log (x)) \log (x-\log (x)))}{\log (x-\log (x))}}{e^x (15 x^2-60 x^4+(-15 x+60 x^3) \log (x))+\frac {e^{2 x} (-25 x^3+25 x^2 \log (x))}{\log (x-\log (x))}+(18 x^3-36 x^5+(-18 x^2+36 x^4) \log (x)) \log (x-\log (x))} \, dx\)
  3.35.32 \(\int \frac {(-6+2 e^{5 x^2-e^x x^2}+60 x^2+e^x (-12 x^2-6 x^3)) \log (e^{-5 x^2+e^x x^2} (e^{5 x^2-e^x x^2} (-6-x)+3 x))}{-3 x+e^{5 x^2-e^x x^2} (6+x)} \, dx\)
  3.35.33 \(\int \frac {1}{5} e^{\frac {1}{5} (-256 x^3-256 x^4-96 x^5-16 x^6-x^7)} (25+10 x-3840 x^3-5888 x^4-3424 x^5-960 x^6-131 x^7-7 x^8+e^{\frac {1}{5} (256 x^3+256 x^4+96 x^5+16 x^6+x^7)} (50+20 x)) \, dx\)
  3.35.34 \(\int \frac {1}{2} e^{8-2 x} (64 x-112 x^2+40 x^3-4 x^4+e^{-4+x} (16-24 x+4 x^2)+3^{2 x} (-1+\log (3))+3^x (8-20 x+4 x^2+(8 x-2 x^2) \log (3)+e^{-4+x} (-2+2 \log (3)))) \, dx\)
  3.35.35 \(\int (-\frac {320 e^{10}}{x^5}-\frac {320 e^5}{x^3}) \, dx\)
  3.35.36 \(\int \frac {e^{\frac {x+\log (1600-800 e^{10/x}+100 e^{20/x})}{x}} (-20 e^{10/x}+(4 x-e^{10/x} x) \log (1600-800 e^{10/x}+100 e^{20/x}))}{-4 x^3+e^{10/x} x^3} \, dx\)
  3.35.37 \(\int \frac {1}{e^3 (4+x)} \, dx\)
  3.35.38 \(\int \frac {4 e^x x^3+e^{\frac {-4-3 x-x^2}{4 x^2}} (24+9 x)}{12 x^3} \, dx\)
  3.35.39 \(\int (-16-16 x+e^{2+5 e^5} (4+4 x)) \, dx\)
  3.35.40 \(\int \frac {e^{\frac {-4 x+x \log (\frac {e^{2 x}}{x^6})}{\log (\frac {e^{2 x}}{x^6})}} (-24+8 x-4 \log (\frac {e^{2 x}}{x^6})+\log ^2(\frac {e^{2 x}}{x^6}))}{\log ^2(\frac {e^{2 x}}{x^6})} \, dx\)
  3.35.41 \(\int \frac {e^{-\frac {-2 x-4 x^2}{5+20 x}} (10 x^6+82 x^7+168 x^8+16 x^9+e^{\frac {-2 x-4 x^2}{5+20 x}} (20+160 x+320 x^2+5 x^5+40 x^6+80 x^7))}{5 x^5+40 x^6+80 x^7} \, dx\)
  3.35.42 \(\int \frac {e^x (-12-12 x) \log (4)+e^x (-12+12 x+12 x^2) \log (4) \log (x)+e^x (-3+3 x+3 x^2) \log ^2(x)}{x^2 \log ^2(x)} \, dx\)
  3.35.43 \(\int \frac {6 x+3 x^2+(5-6 x-6 x^2-6 x^3-4 x^4) \log (x)+(6 x+6 x^2) \log (x) \log (\log (x))}{x \log (x)} \, dx\)
  3.35.44 \(\int \frac {1}{9} (1458 x+810 x^2+316 x^3+50 x^4+6 x^5+e^{2 x} (4 x^3+2 x^4)+e^x (-162 x^2-94 x^3-20 x^4-2 x^5)) \, dx\)
  3.35.45 \(\int \frac {2-i \pi -x^2-\log (-4+3 e^5)}{-2 x+10 x^2-x^3+x (i \pi +\log (-4+3 e^5))} \, dx\)
  3.35.46 \(\int \frac {1}{5} (2 x+2 x \log (2)+e^{e^4} (x+x \log (2))+(4 x+4 x \log (2)+e^{e^4} (2 x+2 x \log (2))) \log (x)) \, dx\)
  3.35.47 \(\int \frac {e^{-x} (20+40 x+20 x^2+e^x (-20 x-32 x^2-16 x^3)+(-20 x-40 x^2-20 x^3) \log (x)+(-5-10 x-5 x^2+e^x (5 x+8 x^2+4 x^3)+(5 x+10 x^2+5 x^3) \log (x)) \log (\log (2)))}{5 x+10 x^2+5 x^3} \, dx\)
  3.35.48 \(\int \frac {-2400+160 x^2-2400 x^3-2 x^4+80 x^5+2 x^7-80 x^8+4 x^{10}+e^{-2 e^x+2 x} (-150+50 x-150 x^3+100 x^4+50 x^7+e^x (-50 x-100 x^4-50 x^7))+e^{-e^x+x} (1200-200 x-40 x^2+1210 x^3-400 x^4-20 x^5+20 x^6-200 x^7+20 x^8+10 x^9+e^x (200 x-10 x^3+400 x^4-20 x^6+200 x^7-10 x^9))}{x^7} \, dx\)
  3.35.49 \(\int \frac {(-29 x-5 e^{16} x+5 x^2) \log (x)+(24+5 e^{16}-5 x) \log (\frac {1}{5} (-24-5 e^{16}+5 x))}{72 x+15 e^{16} x-15 x^2} \, dx\)
  3.35.50 \(\int \frac {e^{e^{4+256 x^2+e^{e^4} x^2+256 x^3+96 x^4+16 x^5+x^6}} (2+e^{4+256 x^2+e^{e^4} x^2+256 x^3+96 x^4+16 x^5+x^6} (-1024 x^2-1024 x^3+224 x^5+68 x^6+6 x^7+e^{e^4} (-4 x^2+2 x^3)))}{x^2} \, dx\)
  3.35.51 \(\int \frac {-7+e^x-4 x-\log (4)+(7-e^x+x-4 x^2+(1-x) \log (4)) \log (x)}{(-7 x+e^x x-4 x^2-x \log (4)) \log (x)} \, dx\)
  3.35.52 \(\int \frac {4-49 x-52 x^2+111 x^3-2 x^4-15 x^5+2 x^6+(-1-2 x) \log (1+2 x)}{-3-7 x-29 x^2-45 x^3+21 x^4+5 x^5-2 x^6+(1+2 x) \log (1+2 x)} \, dx\)
  3.35.53 \(\int \frac {-1-x^2+e^{256+32 x+x^2} (1-32 x-2 x^2)}{x^2} \, dx\)
  3.35.54 \(\int \frac {-120-120 e^2+e^{e^{3 x^2}} (-24-24 e^2-288 e^{3 x^2} x)}{125 e^{x+e^2 x}+75 e^{e^{3 x^2}+x+e^2 x}+15 e^{2 e^{3 x^2}+x+e^2 x}+e^{3 e^{3 x^2}+x+e^2 x}} \, dx\)
  3.35.55 \(\int \frac {1}{29} (-60-29 e^5+29 x) \, dx\)
  3.35.56 \(\int \frac {48 \log (2)+e^x (16-16 x) \log ^2(2)+4 x^2 \log ^2(2)}{144-192 x+64 x^2+(-24 x^2+16 x^3) \log (2)+16 e^{2 x} \log ^2(2)+x^4 \log ^2(2)+e^x ((96-64 x) \log (2)-8 x^2 \log ^2(2))} \, dx\)
  3.35.57 \(\int \frac {1}{x} \, dx\)
  3.35.58 \(\int \frac {1}{9} (432-1056 x+564 x^2-32 x^3-20 x^4+e^{x^2} (144-360 x+288 x^2-72 x^3)) \, dx\)
  3.35.59 \(\int \frac {-3 x^2+3 x^4}{(1-6 x^2-2 x^3+9 x^4+6 x^5+x^6) \log ^2(4)} \, dx\)
  3.35.60 \(\int \frac {24 x^2 \log (x)+(-12 x^2-24 x^2 \log (x)) \log (x^2)-6 \log ^2(x^2)}{4 x^5 \log ^2(x)+4 x^3 \log ^2(x) \log (x^2)+x \log ^2(x) \log ^2(x^2)} \, dx\)
  3.35.61 \(\int (-7290 x^{10}+8748 x^{11}+e^{16} (-7290 x^6+5832 x^7)+e^{12} (29160 x^7-26244 x^8)+e^8 (-43740 x^8+43740 x^9)+e^4 (29160 x^9-32076 x^{10})+(36450 x^9-80190 x^{10}+e^{16} (36450 x^5-51030 x^6)+e^{12} (-145800 x^6+233280 x^7)+e^8 (218700 x^7-393660 x^8)+e^4 (-145800 x^8+291600 x^9)) \log (x)+(109350 e^{16} x^5-510300 e^{12} x^6+874800 e^8 x^7-656100 e^4 x^8+182250 x^9) \log ^2(x)) \, dx\)
  3.35.62 \(\int \frac {1+e^x (1-x)-e^x x^2 \log (x)}{x} \, dx\)
  3.35.63 \(\int \frac {1+x+(-4 x+e^{2 x} (2 x+4 x^2+2 x^3)) \log (x)-x \log (x) \log (\log (x))}{(x+2 x^2+x^3) \log (x)} \, dx\)
  3.35.64 \(\int \frac {e^{-\frac {5 x}{-3+4 e^{8-2 x} x^4}} (15+e^{8-2 x} (60 x^4-40 x^5))}{9-24 e^{8-2 x} x^4+16 e^{16-4 x} x^8} \, dx\)
  3.35.65 \(\int \frac {e^{\frac {1024 x^2+17408 x^3+114368 x^4+364256 x^5+578769 x^6+432496 x^7+151036 x^8+23566 x^9+1812 x^{10}+68 x^{11}+x^{12}}{256+4096 x+24832 x^2+68608 x^3+77920 x^4+17152 x^5+1552 x^6+64 x^7+x^8}} (4096+81920 x+693248 x^2+3407872 x^3+11917824 x^4+34328064 x^5+78478560 x^6+118319872 x^7+97752008 x^8+40329056 x^9+7831044 x^{10}+802040 x^{11}+45152 x^{12}+1328 x^{13}+16 x^{14})}{1024+20480 x+165120 x^2+675840 x^3+1434240 x^4+1383936 x^5+358560 x^6+42240 x^7+2580 x^8+80 x^9+x^{10}} \, dx\)
  3.35.66 \(\int \frac {-10-30 x+20 x^2-10 x \log (2)}{375 x+675 x^2+180 x^3-189 x^4-36 x^5+27 x^6-3 x^7+(225 x^2+270 x^3-9 x^4-54 x^5+9 x^6) \log (2)+(45 x^3+27 x^4-9 x^5) \log ^2(2)+3 x^4 \log ^3(2)+(225 x+270 x^2-9 x^3-54 x^4+9 x^5+(90 x^2+54 x^3-18 x^4) \log (2)+9 x^3 \log ^2(2)) \log (x)+(45 x+27 x^2-9 x^3+9 x^2 \log (2)) \log ^2(x)+3 x \log ^3(x)} \, dx\)
  3.35.67 \(\int \frac {65536+256 e^2-98304 x^4+65536 x^6-12288 x^8+e (-8192+2048 x^4)+e^2 (-16384 x+24576 x^3-12288 x^5+2048 x^7+e (1024 x-512 x^3))}{e^6-24 e^4 x+192 e^2 x^2-512 x^3} \, dx\)
  3.35.68 \(\int \frac {5 e^2+e^{1+\frac {8+x^2+4 x^4}{x}} (40-5 x^2-60 x^4)}{e^2+2 e^{1+\frac {8+x^2+4 x^4}{x}} x+e^{\frac {2 (8+x^2+4 x^4)}{x}} x^2} \, dx\)
  3.35.69 \(\int \frac {\log (-x)-\log (2 x)}{x \log ^2(-x)} \, dx\)
  3.35.70 \(\int \frac {-5+e^4 (-6-3 x) x}{15+5 x+e^4 x (3 x+x^2)} \, dx\)
  3.35.71 \(\int \frac {6-2 x-6 x^2+2 e^3 x^2+4 x^3+(-6-x+e^3 x+2 x^2) \log (x)+(4 x^2+2 x \log (x)) \log (\frac {2 x}{2 x+\log (x)})}{4 x^2+2 x \log (x)} \, dx\)
  3.35.72 \(\int \frac {e^{-2 x^2} (6 x-24 x^3-4 x^4+e^{2 x^2} (36 x^2+12 x^3+x^4)+e^{2 x^2} (-36-12 x-x^2) \log (\frac {55}{4} e^{\frac {e^{-2 x^2} x}{6+x}}))}{36 x^2+12 x^3+x^4} \, dx\)
  3.35.73 \(\int e^{4 e^x+e^5 x^2} (4 e^{5+x}+2 e^{10} x+(-4 e^x-2 e^5 x) \log ^2(1+\log (4))) \, dx\)
  3.35.74 \(\int \frac {e^x x-2 x^2-\log (\frac {3}{2 x})+(-1-8 x^2+2 x^3+e^x (2 x+x^2)+x \log (\frac {3}{2 x})) \log (x)+x \log ^2(x)}{(-e^x x^2+2 x^3+x \log (\frac {3}{2 x})) \log (x)+x \log ^2(x)} \, dx\)
  3.35.75 \(\int \frac {4 e-6 x+(-3 e x+3 x^2) \log ^3(e x^2-x^3)}{(e x-x^2) \log ^3(e x^2-x^3)} \, dx\)
  3.35.76 \(\int \frac {e^{-e^5} (5 e^x+e^{e^5} (2+4 x^2)+5 e^x x \log (x))}{2 x} \, dx\)
  3.35.77 \(\int \frac {1}{5} (3872+5368 x+648 x^2-144 x^3+(-2904-3696 x-792 x^2) \log (x)+(484+528 x+108 x^2) \log ^2(x)) \, dx\)
  3.35.78 \(\int \frac {-6 e^{22}+25 e^4 x}{x^7} \, dx\)
  3.35.79 \(\int \frac {2+2 x+2 x^2+(1+x) \log (\frac {e^{2 x} x^2}{100+200 x+100 x^2+e^3 (-40-80 x-40 x^2)+e^6 (4+8 x+4 x^2)})}{2+2 x} \, dx\)
  3.35.80 \(\int \frac {3 x+x^2+(6 x+2 x^2) \log (\frac {3+x}{4})+(3 x+x^2) \log ^2(\frac {3+x}{4})+\log ^2(x) (3+x-9 x^2+(6+2 x-9 x^2-3 x^3) \log (\frac {3+x}{4})+(3+x) \log ^2(\frac {3+x}{4}))}{\log (x) (-3 x^2-x^3+(-6 x^2-2 x^3) \log (\frac {3+x}{4})+(-3 x^2-x^3) \log ^2(\frac {3+x}{4}))+\log ^2(x) (-3 x+2 x^2-8 x^3-3 x^4+(-6 x+4 x^2-7 x^3-3 x^4) \log (\frac {3+x}{4})+(-3 x+2 x^2+x^3) \log ^2(\frac {3+x}{4}))} \, dx\)
  3.35.81 \(\int \frac {e^{-\frac {2}{-45 x^3+9 x^4+e^6 (-45 x+9 x^2)+e^3 (90 x^2-18 x^3)}} (30 x-8 x^2+e^3 (-10+4 x))}{-225 x^5+90 x^6-9 x^7+e^9 (225 x^2-90 x^3+9 x^4)+e^6 (-675 x^3+270 x^4-27 x^5)+e^3 (675 x^4-270 x^5+27 x^6)} \, dx\)
  3.35.82 \(\int \frac {1}{5} e^{\frac {5-x}{5}} (-5+5 e^{\frac {1}{5} (-5+x)}+x) \, dx\)
  3.35.83 \(\int \frac {-16 x+24 x^2+e^5 (-2+4 x)}{-36-4 x^2+4 x^3+e^5 (-x+x^2)} \, dx\)
  3.35.84 \(\int \frac {e^{-3+e^x} (e^{2+4 x} (x^2-4 x^3+e^x x^3)-2 x \log (2)-e^x x^2 \log (2))}{2 e^{4+8 x} x^2-4 e^{2+4 x} x \log (2)+2 \log ^2(2)} \, dx\)
  3.35.85 \(\int \frac {192 x+e^{\frac {x}{\log (8)}} (8+384 x) \log (8)+(96 x+192 e^{\frac {x}{\log (8)}} x \log (8)) \log (x)+(12 x+24 e^{\frac {x}{\log (8)}} x \log (8)) \log ^2(x)}{-48 x \log (8)+e^{\frac {x}{\log (8)}} (-8 x+96 x^2) \log (8)+(-24 x \log (8)+e^{\frac {x}{\log (8)}} (-2 x+48 x^2) \log (8)) \log (x)+(-3 x \log (8)+6 e^{\frac {x}{\log (8)}} x^2 \log (8)) \log ^2(x)} \, dx\)
  3.35.86 \(\int \frac {1}{2} (50+e^{\frac {1}{2} (23 x+x^2+4 x \log (x))} (2+27 x+2 x^2+4 x \log (x))) \, dx\)
  3.35.87 \(\int \frac {e^{\frac {10 x^5-2 x^6}{81-432 x+864 x^2-768 x^3+256 x^4}} (-150 x^4+76 x^5-16 x^6)}{-243+1620 x-4320 x^2+5760 x^3-3840 x^4+1024 x^5} \, dx\)
  3.35.88 \(\int \frac {-2+144 x^2}{33-2 x+48 x^3} \, dx\)
  3.35.89 \(\int \frac {e^{\frac {2 (9 x^2+200 e^x \log ^2(x))}{9 x^2}} (32 e^x \log (x)+e^x (-32+16 x) \log ^2(x))}{27 x^3} \, dx\)
  3.35.90 \(\int \frac {72 x+4 x^3}{1215 \log (3)+270 x^2 \log (3) \log (\frac {2}{x})+15 x^4 \log (3) \log ^2(\frac {2}{x})} \, dx\)
  3.35.91 \(\int \frac {9+x+(-27-4 x) \log (x)+(-3+5 x) \log ^2(x)+(6-2 x) \log ^3(x)}{(9 x+x^2) \log (x)+(-3 x-2 x^2) \log ^2(x)+(-6 x+x^2) \log ^3(x)} \, dx\)
  3.35.92 \(\int \frac {e^{\frac {15}{-12+5 x}} (-351 x+180 x^2-100 x^3)+(6480-22680 x+27045 x^2-12600 x^3+2000 x^4+e^{\frac {15}{-12+5 x}} (-432+936 x-555 x^2+100 x^3)) \log (\frac {-15+e^{\frac {15}{-12+5 x}}+20 x}{-3+4 x})}{6480-22680 x+27045 x^2-12600 x^3+2000 x^4+e^{\frac {15}{-12+5 x}} (-432+936 x-555 x^2+100 x^3)} \, dx\)
  3.35.93 \(\int \frac {e^{\frac {20 x^4+36 x^3 \log (2 x+25 x^2)+54 x^2 \log ^2(2 x+25 x^2)+36 x \log ^3(2 x+25 x^2)+9 \log ^4(2 x+25 x^2)}{9 x^4}} (8 x^3+200 x^4+(24 x^2+592 x^3-100 x^4) \log (2 x+25 x^2)+(24 x+576 x^2-300 x^3) \log ^2(2 x+25 x^2)+(8+176 x-300 x^2) \log ^3(2 x+25 x^2)+(-8-100 x) \log ^4(2 x+25 x^2))}{2 x^5+25 x^6} \, dx\)
  3.35.94 \(\int \frac {-18 x^3+12 x^4-47 x^5+30 x^6-5 x^7+e^x (-9 x^5+6 x^6-x^7)+(-72 x^3+48 x^4-98 x^5+60 x^6-10 x^7+e^x (-18 x^5+21 x^6-8 x^7+x^8)) \log (x)+(30 x^5-6 x^6-6 x^7+x^8) \log ^2(x)}{36-24 x+184 x^2-120 x^3+245 x^4-150 x^5+25 x^6+e^{2 x} (9 x^4-6 x^5+x^6)+e^x (36 x^2-24 x^3+94 x^4-60 x^5+10 x^6)+(-60 x^2-16 x^3-126 x^4-44 x^5+60 x^6-10 x^7+e^x (-30 x^4-8 x^5+12 x^6-2 x^7)) \log (x)+(25 x^4+30 x^5-x^6-6 x^7+x^8) \log ^2(x)} \, dx\)
  3.35.95 \(\int \frac {-5+x^2-2 e^{2 x} x^2-20 x^3-4 x^5+e^x (-10 x^2-4 x^3-2 x^4)}{x^2} \, dx\)
  3.35.96 \(\int \frac {1}{3} e^{-3-x+x^3-x^2 \log (x)} (25-23 x-26 x^2+74 x^3+3 x^4+(-50 x^2-2 x^3) \log (x)) \, dx\)
  3.35.97 \(\int e^{4-x-e^{4-x} (4+\log (2))} (-12-3 \log (2)) \, dx\)
  3.35.98 \(\int \frac {8 e^{\frac {1+16 x^3}{8 x^2}} x^3-16 e^{\frac {1+16 x^3}{16 x^2}} x^4+8 x^5+e^{e^x} (8 x^3-8 e^x x^4+e^{\frac {1+16 x^3}{16 x^2}} (1-8 x^3+8 e^x x^3))}{8 e^{\frac {1+16 x^3}{8 x^2}} x^3-16 e^{\frac {1+16 x^3}{16 x^2}} x^4+8 x^5} \, dx\)
  3.35.99 \(\int \frac {9 e^x-9 x+(e^x (-9-18 x)+27 x) \log (2 x)}{2 e^{3 x} x^2-6 e^{2 x} x^3+6 e^x x^4-2 x^5} \, dx\)
  3.35.100 \(\int \frac {2 e^{-e^3+i \pi +x} (125-50 x+5 x^2)+2 e^{-e^3+i \pi +x} (-25+5 x) \log (-5+x)+(2 e^{-e^3+i \pi +x} (145+90 x-50 x^2+5 x^3)+2 e^{-e^3+i \pi +x} (-25-20 x+5 x^2) \log (-5+x)) \log (1+x)}{-125-50 x+60 x^2-14 x^3+x^4+(50+30 x-18 x^2+2 x^3) \log (-5+x)+(-5-4 x+x^2) \log ^2(-5+x)} \, dx\)