3.13 Integrals 1201 to 1300

  3.13.1 \(\int \frac {-2+e^{-50+2 e^x-2 x} (4 x-4 e^x x)}{x \log ^3(\frac {e^{4-e^{-50+2 e^x-2 x}}}{x})} \, dx\)
  3.13.2 \(\int \frac {e^{2 x-x^2} (-174-e^5+141 x+78 x^2-18 x^3+e^5 (-4+2 x+2 x^2) \log (2+x))}{2+x} \, dx\)
  3.13.3 \(\int \frac {-5-2 x}{3+2 x} \, dx\)
  3.13.4 \(\int \frac {e^{4/3} (-x+3 x^2-2 x^3+x^4)+e^{4/3} (-2 x+4 x^2-2 x^3) \log (x)+e^{4/3} (-2 x+x^2) \log ^2(x)}{5-10 x+15 x^2-10 x^3+5 x^4+(10-20 x+20 x^2-10 x^3) \log (x)+(5-10 x+5 x^2) \log ^2(x)} \, dx\)
  3.13.5 \(\int e^{8+2 e^{4+x} (x+x^2)} (8 x+e^{4+x} (8 x^2+24 x^3+8 x^4)) \, dx\)
  3.13.6 \(\int \frac {e^{\log ^2(x^2 \log (x))} ((6-3 \log (3)) \log (x)+(-12+6 \log (3)+(-24+12 \log (3)) \log (x)) \log (x^2 \log (x)))}{x^2 \log (x)} \, dx\)
  3.13.7 \(\int \frac {e^{\frac {3-x^2+5 x^3}{-1+5 x}} (1-10 x+25 x^2+e^{16} (1-25 x+27 x^2-20 x^3+50 x^4))+e^{\frac {3-x^2+5 x^3}{-1+5 x}} (1-25 x+27 x^2-20 x^3+50 x^4) \log (x)}{5-50 x+125 x^2} \, dx\)
  3.13.8 \(\int \frac {e^{12+\frac {2-x^2-x \log (x)}{x}} (2+x^2)}{x} \, dx\)
  3.13.9 \(\int \frac {-3+770 e+5 e^4}{243-3 x+e^4 (-405+5 x)+e (3240-850 x+10 x^2)} \, dx\)
  3.13.10 \(\int \frac {e^{40} (9216 x^2-6912 x^3+1728 x^4-144 x^5)+e^{40} (9216 x-6912 x^2+1728 x^3-144 x^4) \log (x)+(e^{40} (-9220-4 x+5760 x^2-2880 x^3+540 x^4-36 x^5)+e^{30} (27648 x^3-20736 x^4+5184 x^5-432 x^6)+e^{30} (55296 x^2-41472 x^3+10368 x^4-864 x^5) \log (x)+e^{30} (27648 x-20736 x^2+5184 x^3-432 x^4) \log ^2(x)) \log (2305-2304 x+864 x^2-144 x^3+9 x^4)+(e^{30} (-27660 x-12 x^2+17280 x^3-8640 x^4+1620 x^5-108 x^6)+e^{20} (27648 x^4-20736 x^5+5184 x^6-432 x^7)+(e^{30} (-27660-12 x+17280 x^2-8640 x^3+1620 x^4-108 x^5)+e^{20} (82944 x^3-62208 x^4+15552 x^5-1296 x^6)) \log (x)+e^{20} (82944 x^2-62208 x^3+15552 x^4-1296 x^5) \log ^2(x)+e^{20} (27648 x-20736 x^2+5184 x^3-432 x^4) \log ^3(x)) \log ^2(2305-2304 x+864 x^2-144 x^3+9 x^4)+(e^{20} (-27660 x^2-12 x^3+17280 x^4-8640 x^5+1620 x^6-108 x^7)+e^{10} (9216 x^5-6912 x^6+1728 x^7-144 x^8)+(e^{20} (-55320 x-24 x^2+34560 x^3-17280 x^4+3240 x^5-216 x^6)+e^{10} (36864 x^4-27648 x^5+6912 x^6-576 x^7)) \log (x)+(e^{20} (-27660-12 x+17280 x^2-8640 x^3+1620 x^4-108 x^5)+e^{10} (55296 x^3-41472 x^4+10368 x^5-864 x^6)) \log ^2(x)+e^{10} (36864 x^2-27648 x^3+6912 x^4-576 x^5) \log ^3(x)+e^{10} (9216 x-6912 x^2+1728 x^3-144 x^4) \log ^4(x)) \log ^3(2305-2304 x+864 x^2-144 x^3+9 x^4)+(e^{10} (-9220 x^3-4 x^4+5760 x^5-2880 x^6+540 x^7-36 x^8)+e^{10} (-27660 x^2-12 x^3+17280 x^4-8640 x^5+1620 x^6-108 x^7) \log (x)+e^{10} (-27660 x-12 x^2+17280 x^3-8640 x^4+1620 x^5-108 x^6) \log ^2(x)+e^{10} (-9220-4 x+5760 x^2-2880 x^3+540 x^4-36 x^5) \log ^3(x)) \log ^4(2305-2304 x+864 x^2-144 x^3+9 x^4)}{(2305 x^6-2304 x^7+864 x^8-144 x^9+9 x^{10}+(11525 x^5-11520 x^6+4320 x^7-720 x^8+45 x^9) \log (x)+(23050 x^4-23040 x^5+8640 x^6-1440 x^7+90 x^8) \log ^2(x)+(23050 x^3-23040 x^4+8640 x^5-1440 x^6+90 x^7) \log ^3(x)+(11525 x^2-11520 x^3+4320 x^4-720 x^5+45 x^6) \log ^4(x)+(2305 x-2304 x^2+864 x^3-144 x^4+9 x^5) \log ^5(x)) \log ^5(2305-2304 x+864 x^2-144 x^3+9 x^4)} \, dx\)
  3.13.11 \(\int \frac {1+e^x (4 x+4 x^2)+e^{2 x} (2 x^2+2 x^3)}{x} \, dx\)
  3.13.12 \(\int \frac {390625+e^{10/x}-625000 x+437500 x^2-175000 x^3+43750 x^4-7000 x^5+700 x^6-40 x^7+x^8+e^{5/x} (1250-1000 x+300 x^2-40 x^3+2 x^4)+e^{\frac {1250+2 e^{5/x}-1000 x+301 x^2-40 x^3+2 x^4}{625+e^{5/x}-500 x+150 x^2-20 x^3+x^4}} (e^{5/x} (-80-32 x)-20000 x+8000 x^2-320 x^4+32 x^5)+e^{\frac {2 (1250+2 e^{5/x}-1000 x+301 x^2-40 x^3+2 x^4)}{625+e^{5/x}-500 x+150 x^2-20 x^3+x^4}} (10000 x-4000 x^2+160 x^4-16 x^5+e^{5/x} (40+16 x))}{390625+e^{10/x}-625000 x+437500 x^2-175000 x^3+43750 x^4-7000 x^5+700 x^6-40 x^7+x^8+e^{5/x} (1250-1000 x+300 x^2-40 x^3+2 x^4)} \, dx\)
  3.13.13 \(\int \frac {-5+10 x-26 x^2+21 x^3-22 x^4+e^{4 x} (-1+x-2 x^2)+e^{2 x} (2 x-2 x^2+4 x^3)+(-5+10 x-28 x^2+22 x^3-22 x^4+e^{4 x} (-1-4 x+6 x^2-8 x^3)+e^{2 x} (4 x+2 x^2-4 x^3+8 x^4)) \log (x)}{5-10 x+25 x^2-20 x^3+20 x^4} \, dx\)
  3.13.14 \(\int \frac {-12+4 x^2+e^{25-9 e^{2 x}+2 x} (216 x-72 x^3)+(e^{25-9 e^{2 x}} (6+2 x^2)+(6+2 x^2) \log (x)) \log (e^{50-18 e^{2 x}}+2 e^{25-9 e^{2 x}} \log (x)+\log ^2(x))}{e^{25-9 e^{2 x}} x^2+x^2 \log (x)} \, dx\)
  3.13.15 \(\int \frac {-25 e^4 x^2+e^{\frac {-7-x+x^2}{x}} (-112-16 x^2+16 e^4 x^2)}{-25 x^2+16 e^{\frac {-7-x+x^2}{x}} x^2} \, dx\)
  3.13.16 \(\int \frac {-2 x+e^{\log ^2(x)} (-1-2 \log (x))}{e^{4+2 \log ^2(x)} x^2+2 e^{4+\log ^2(x)} x^3+e^4 x^4} \, dx\)
  3.13.17 \(\int (-6+14 x+2 e^2 x+12 x^2-4 x^3+10 x^4+6 x^5+e (6-4 x+6 x^2+8 x^3)+e^{4 x} (4 x^3+4 x^4)+e^{2 x} (-12 x-6 x^2-4 x^3-14 x^4-4 x^5+e (-6 x^2-4 x^3))) \, dx\)
  3.13.18 \(\int (12+18 x+e^{25-11 x+x^2} (-11+2 x)) \, dx\)
  3.13.19 \(\int \frac {1-10 x \log (x)+e^{e^x} (1+e^x x) \log (x)+\log (x) \log (\log (x))+(-e^{e^x} \log (x)+5 x \log (x)-\log (x) \log (\log (x))) \log (e^{e^x}-5 x+\log (\log (x)))}{e^{e^x} x^2 \log (x)-5 x^3 \log (x)+x^2 \log (x) \log (\log (x))} \, dx\)
  3.13.20 \(\int \frac {x+\log (4)+2 x \log (x)+(3 x \log (4)+3 x^2 \log (x)) \log ^2(x \log (4)+x^2 \log (x))}{(x \log (4)+x^2 \log (x)) \log ^2(x \log (4)+x^2 \log (x))} \, dx\)
  3.13.21 \(\int (-2 x-6 x^2-4 x^3) \, dx\)
  3.13.22 \(\int \frac {e^{\frac {-30+6 x+(12-2 x) \log (5)}{5 e^x+15 x-3 x^2+(-6 x+x^2) \log (5)}} (450-180 x+18 x^2+(-360+132 x-12 x^2) \log (5)+(72-24 x+2 x^2) \log ^2(5)+e^x (180-30 x+(-70+10 x) \log (5)))}{25 e^{2 x}+225 x^2-90 x^3+9 x^4+(-180 x^2+66 x^3-6 x^4) \log (5)+(36 x^2-12 x^3+x^4) \log ^2(5)+e^x (150 x-30 x^2+(-60 x+10 x^2) \log (5))} \, dx\)
  3.13.23 \(\int \frac {-3359384+1669324 x+556416 x^2-155808 x^3-54432 x^4-3888 x^5+(-20736+10336 x+576 x^2-288 x^3) \log (2-x)+(-32+16 x) \log ^2(2-x)}{-352670651858-293870933783 x-39176763264 x^2+45714497472 x^3+26665854480 x^4+6983855640 x^5+1058158080 x^6+95738112 x^7+4828896 x^8+104976 x^9+(-4353761664-2176749504 x+362824416 x^2+503887536 x^3+151165440 x^4+21835008 x^5+1586304 x^6+46656 x^7) \log (2-x)+(-20155696-3359080 x+3359232 x^2+1306368 x^3+171072 x^4+7776 x^5) \log ^2(2-x)+(-41472+6912 x+5760 x^2+576 x^3) \log ^3(2-x)+(-32+16 x) \log ^4(2-x)} \, dx\)
  3.13.24 \(\int \frac {-1+74 x-250 x^2}{x} \, dx\)
  3.13.25 \(\int \frac {(648 x^4+162 x^6+e^x (864 x^5+216 x^7)+e^{2 x} (432 x^6+108 x^8)+e^{3 x} (96 x^7+24 x^9)+e^{4 x} (8 x^8+2 x^{10})) \log (x)+(-216 x^2+1242 x^4+162 x^6+e^x (-144 x^3+2124 x^5+432 x^6+324 x^7+108 x^8)+e^{2 x} (-24 x^4+1290 x^6+432 x^7+216 x^8+108 x^9)+e^{3 x} (336 x^7+144 x^8+60 x^9+36 x^{10})+e^{4 x} (32 x^8+16 x^9+6 x^{10}+4 x^{11})) \log ^2(x)+(16-140 x^2+e^x (-144 x^3-48 x^4-12 x^5-12 x^6)+e^{2 x} (-32 x^4-16 x^5-4 x^6-4 x^7)) \log ^3(x)-2 x^2 \log ^4(x)}{144 x+72 x^3+9 x^5} \, dx\)
  3.13.26 \(\int \frac {-21-15 e^{2 x}-6 x+e^x (36+3 x-3 x^2)+(36-30 e^x+3 x) \log (x)-15 \log ^2(x)+(e^x (-3-3 x)-3 \log (x)) \log (e^x x^2)}{x^2-2 e^x x^2+e^{2 x} x^2+(-2 x^2+2 e^x x^2) \log (x)+x^2 \log ^2(x)} \, dx\)
  3.13.27 \(\int (-1+16 e^{2 e^{4 e^{2 x}}+4 e^{2 x}+2 x}) \, dx\)
  3.13.28 \(\int \frac {e^{\frac {-2 e^{16} x+2 e^{16} \log (2)}{-100-5 x-19 x^2+(5+19 x) \log (2)}} (e^{16} (600-114 x^2)+228 e^{16} x \log (2)-114 e^{16} \log ^2(2))}{10000+1000 x+3825 x^2+190 x^3+361 x^4+(-1000-3850 x-380 x^2-722 x^3) \log (2)+(25+190 x+361 x^2) \log ^2(2)} \, dx\)
  3.13.29 \(\int \frac {e^x (-24+24 x)-32 \log (\frac {5}{2 x})-16 \log ^2(\frac {5}{2 x})}{15 x^2} \, dx\)
  3.13.30 \(\int \frac {-2+6 x^2+(1-x^2) \log (x^2-2 x^4+x^6)}{-x^2+x^4} \, dx\)
  3.13.31 \(\int \frac {-e^{7+8 x}+e^{7+4 x} (-3000+2300 x-660 x^2+84 x^3-4 x^4)}{390625-625000 x+437500 x^2-175000 x^3+43750 x^4-7000 x^5+700 x^6-40 x^7+x^8+e^{8 x} (4+4 x+x^2)+e^{4 x} (-2500+750 x+400 x^2-220 x^3+36 x^4-2 x^5)} \, dx\)
  3.13.32 \(\int \frac {1}{x} \, dx\)
  3.13.33 \(\int \frac {4 x+(18-6 x) \log (\frac {x^4}{\log ^2(3)})+2 x \log (\frac {x^4}{\log ^2(3)}) \log (\log (\frac {x^4}{\log ^2(3)}))}{3 \log (\frac {x^4}{\log ^2(3)})} \, dx\)
  3.13.34 \(\int \frac {-20 x^2+e^{5 x} (e^x (30-150 x)+5 x-125 x^2)+e^x (5 x-25 x^2)+(-5 x^2-5 e^x x^2+e^{5 x} (e^x (5-30 x)-25 x^2)) \log (x)}{4 e^{2 x} x^2+8 e^x x^3+4 x^4+e^{10 x} (4 e^{2 x}+8 e^x x+4 x^2)+e^{5 x} (8 e^{2 x} x+16 e^x x^2+8 x^3)} \, dx\)
  3.13.35 \(\int e^{\frac {-145-144 x-36 x^2+e^5 (145+144 x+36 x^2)-6 \log (2)}{-1+e^5}} (144+72 x) \, dx\)
  3.13.36 \(\int \frac {8 e^2-768 x+288 x^2}{2304 x^4-1152 x^5+144 x^6+e^4 (16-8 x+x^2)+e^2 (384 x^2-192 x^3+24 x^4)} \, dx\)
  3.13.37 \(\int \frac {(160+160 x+40 x^2+e^x (-8 x^2-4 x^3)) \log (2 x) \log (x^2)+(40+40 x+10 x^2+e^x (-2 x^2-x^3)+e^x (-4 x^2-3 x^3-x^4) \log (2 x)) \log ^2(x^2)}{4 x+4 x^2+x^3} \, dx\)
  3.13.38 \(\int \frac {1}{5} (-30+10 x-2 e^3 x+15 x^2+10 x \log (2 x^2)) \, dx\)
  3.13.39 \(\int \frac {-6 x+(2-12 x) \log (\frac {1}{3} (8-48 x))+(x-6 x^2+e^{x^2} (-x+6 x^2+2 x^3-12 x^4)) \log ^2(\frac {1}{3} (8-48 x))}{(-x^3+6 x^4) \log ^2(\frac {1}{3} (8-48 x))} \, dx\)
  3.13.40 \(\int \frac {e^{2 e^5-2 x} (-3 x^2-2 x^3+(-1-2 x) \log (4))}{40 x^6+80 x^4 \log (4)+40 x^2 \log ^2(4)} \, dx\)
  3.13.41 \(\int \frac {20 x^5+e^{15} (-800-640 x^2+2 x^5-20 x^6)+e^{30} (500 x+480 x^3+64 x^5+5 x^7)}{4 x^5-4 e^{15} x^6+e^{30} x^7} \, dx\)
  3.13.42 \(\int \frac {1-4 x-x^2+x^3+e^x (-x+2 x^2-x^3)+e^{e^x} (x+e^x (x-x^2))}{x-2 x^2+x^3} \, dx\)
  3.13.43 \(\int \frac {1}{144} (225+1000 \log (x)+400 \log ^2(x)) \, dx\)
  3.13.44 \(\int \frac {e^{12 x-3 x \log (\frac {-2+5 x}{x})} (-30+60 x+(6-15 x) \log (\frac {-2+5 x}{x}))}{-2+5 x} \, dx\)
  3.13.45 \(\int (2+\log (x)) \, dx\)
  3.13.46 \(\int \frac {(2400000000 x^{15}-800000000 x^{16}) \log ^8(-3+x)+(800000000 x^{16} \log ^7(-3+x)+(-4800000000 x^{15}+10000000000 x^{16}-2800000000 x^{17}) \log ^8(-3+x)) \log (x)+(3200000000 x^{17} \log ^7(-3+x)+(-20400000000 x^{16}+19400000000 x^{17}-4200000000 x^{18}) \log ^8(-3+x)) \log ^2(x)+(5600000000 x^{18} \log ^7(-3+x)+(-37800000000 x^{17}+23100000000 x^{18}-3500000000 x^{19}) \log ^8(-3+x)) \log ^3(x)+(5600000000 x^{19} \log ^7(-3+x)+(-39900000000 x^{18}+18550000000 x^{19}-1750000000 x^{20}) \log ^8(-3+x)) \log ^4(x)+(3500000000 x^{20} \log ^7(-3+x)+(-26250000000 x^{19}+10325000000 x^{20}-525000000 x^{21}) \log ^8(-3+x)) \log ^5(x)+(1400000000 x^{21} \log ^7(-3+x)+(-11025000000 x^{20}+3937500000 x^{21}-87500000 x^{22}) \log ^8(-3+x)) \log ^6(x)+(350000000 x^{22} \log ^7(-3+x)+(-2887500000 x^{21}+981250000 x^{22}-6250000 x^{23}) \log ^8(-3+x)) \log ^7(x)+(50000000 x^{23} \log ^7(-3+x)+(-431250000 x^{22}+143750000 x^{23}) \log ^8(-3+x)) \log ^8(x)+(3125000 x^{24} \log ^7(-3+x)+(-28125000 x^{23}+9375000 x^{24}) \log ^8(-3+x)) \log ^9(x)}{(-3+x) \log ^9(x)} \, dx\)
  3.13.47 \(\int \frac {1+e^4 (-11-10 x)}{e^4} \, dx\)
  3.13.48 \(\int (e^x (-4-4 x)+2 x+20 e^{10 x^2} x+e^{5 x^2} (-2-20 x^2)) \, dx\)
  3.13.49 \(\int \frac {-14950+17450 x+32400 x^2+209952 x^3+(7475 x+88776 x^2-104976 x^3) \log (\frac {89401 x^2-193752 x^3+104976 x^4}{625+16200 x+104976 x^2})}{14950 x+177552 x^2-209952 x^3+(-7475 x-88776 x^2+104976 x^3) \log (\frac {89401 x^2-193752 x^3+104976 x^4}{625+16200 x+104976 x^2})} \, dx\)
  3.13.50 \(\int \frac {e^{15-5 x+(-3+x+\log (3+x)) \log (\frac {1}{4} (8+\log (x)))} (-9-160 x-39 x^2+(-20 x-5 x^2) \log (x)+(3+x) \log (3+x)+(32 x+8 x^2+(4 x+x^2) \log (x)) \log (\frac {1}{4} (8+\log (x))))}{(3+x)^5 (24 x+8 x^2+(3 x+x^2) \log (x))} \, dx\)
  3.13.51 \(\int \frac {-60 x-21 x^2+5 x^3+135 x^4+135 x^5+99 x^6+59 x^7+18 x^8+2 x^9+e^{2 x} (135 x^2+135 x^3+99 x^4+59 x^5+18 x^6+2 x^7)+e^x (45+34 x-2 x^2-271 x^3-270 x^4-198 x^5-118 x^6-36 x^7-4 x^8)}{54 x^6+54 x^7+18 x^8+2 x^9+e^{2 x} (54 x^4+54 x^5+18 x^6+2 x^7)+e^x (-108 x^5-108 x^6-36 x^7-4 x^8)} \, dx\)
  3.13.52 \(\int \frac {50 x-50 x^2+e^{4 x+x^2} (-200 x^2-100 x^3)+(x-x^3+e^{4 x+x^2} (1-x^2)+e^3 (-1+x^2)+(-1+x^2) \log (x)) \log ^3(-e^3+e^{4 x+x^2}+x-\log (x))}{(e^3 x^2-e^{4 x+x^2} x^2-x^3+x^2 \log (x)) \log ^3(-e^3+e^{4 x+x^2}+x-\log (x))} \, dx\)
  3.13.53 \(\int \frac {4-x^2+2 x^3+\log ^2(x)+\log (x) (4-2 \log (-\frac {x}{-1+\log (5)}))-4 \log (-\frac {x}{-1+\log (5)})+\log ^2(-\frac {x}{-1+\log (5)})}{x^2} \, dx\)
  3.13.54 \(\int \frac {28 e^4+e^{5+x^2} (2 x+e^4 (1-10 x+2 x^2))}{e^4} \, dx\)
  3.13.55 \(\int \frac {-6+4 e^3-2 e^6+(4+2 e^6) \log (x)-4 e^3 \log ^2(x)+2 \log ^3(x)+(6-4 e^3+2 e^6+(2-4 e^3) \log (x)+2 \log ^2(x)) \log (4+e^6+(-1-2 e^3) \log (x)+\log ^2(x))}{4 x+e^6 x+(-x-2 e^3 x) \log (x)+x \log ^2(x)} \, dx\)
  3.13.56 \(\int \frac {e (-1-5 x)+x+x^2-4 x^3+(-4 e-4 x^2) \log (x)+(e x+e \log (x)) \log (x+\log (x))}{x^3+x^2 \log (x)} \, dx\)
  3.13.57 \(\int \frac {1}{8} e^{\frac {1}{8} (8 e^x-8 x^3+e^{x^2} x^3-8 \log (4))} (8 e^x-24 x^2+e^{x^2} (3 x^2+2 x^4)) \, dx\)
  3.13.58 \(\int \frac {-2+3 e x^2+e (-2+6 x) \log (4)+3 e \log ^2(4)}{e x^2+2 e x \log (4)+e \log ^2(4)} \, dx\)
  3.13.59 \(\int \frac {e^{-\frac {x}{\log (\frac {48 x}{4+3 x})}} (1036+(-1036-777 x) \log (\frac {48 x}{4+3 x}))}{(4+3 x) \log ^2(\frac {48 x}{4+3 x})} \, dx\)
  3.13.60 \(\int e^{-x^2} (8-62 x-13 x^2+50 x^3-2 x^4-6 x^5) \, dx\)
  3.13.61 \(\int \frac {-e^{-2 x} x+(-3 x^3-2 x^4+e^{e^9} (3 x^2+2 x^3)) \log (4 e^{e^9}-4 x)+(e^{e^9-2 x}-e^{-2 x} x) \log (4 e^{e^9}-4 x) \log (\log (4 e^{e^9}-4 x))}{(2 e^{e^9-2 x}-2 e^{-2 x} x) \log (4 e^{e^9}-4 x)} \, dx\)
  3.13.62 \(\int \frac {e^{-x} (3840+1920 x-1622 x^2+194 x^3+10 x^4+e^x (16 x^2-8 x^3+x^4))}{16 x^2-8 x^3+x^4} \, dx\)
  3.13.63 \(\int \frac {1}{25} (565+450 x+108 x^{7/5}-810 x^2+180 x^3+\sqrt [5]{x} (-216-594 x+288 x^2)) \, dx\)
  3.13.64 \(\int \frac {-20+e^2 (-16-56 x+31 x^2-4 x^3)}{e^2 (16-8 x+x^2)} \, dx\)
  3.13.65 \(\int \frac {-5083731656658 x^3-13122 e^{9 x} x^3+5083731656658 x^4-2259436291848 x^5+585779779368 x^6-97629963228 x^7+10847773692 x^8-803538792 x^9+38263752 x^{10}-1062882 x^{11}+13122 x^{12}+e^{24} (-36+20 x)+e^{8 x} (-1062882 x^3+118098 x^4)+e^{7 x} (-38263752 x^3+8503056 x^4-472392 x^5)+e^{6 x} (-803538792 x^3+267846264 x^4-29760696 x^5+1102248 x^6)+e^{5 x} (-10847773692 x^3+4821232752 x^4-803538792 x^5+59521392 x^6-1653372 x^7)+e^{4 x} (-97629963228 x^3+54238868460 x^4-12053081880 x^5+1339231320 x^6-74401740 x^7+1653372 x^8)+e^{3 x} (-585779779368 x^3+390519852912 x^4-108477736920 x^5+16070775840 x^6-1339231320 x^7+59521392 x^8-1102248 x^9)+e^{2 x} (-2259436291848 x^3+1757339338104 x^4-585779779368 x^5+108477736920 x^6-12053081880 x^7+803538792 x^8-29760696 x^9+472392 x^{10})+e^x (e^{24} (-4-16 x)-5083731656658 x^3+4518872583696 x^4-1757339338104 x^5+390519852912 x^6-54238868460 x^7+4821232752 x^8-267846264 x^9+8503056 x^{10}-118098 x^{11})}{2541865828329 x^3+6561 e^{9 x} x^3-2541865828329 x^4+1129718145924 x^5-292889889684 x^6+48814981614 x^7-5423886846 x^8+401769396 x^9-19131876 x^{10}+531441 x^{11}-6561 x^{12}+e^{8 x} (531441 x^3-59049 x^4)+e^{7 x} (19131876 x^3-4251528 x^4+236196 x^5)+e^{6 x} (401769396 x^3-133923132 x^4+14880348 x^5-551124 x^6)+e^{5 x} (5423886846 x^3-2410616376 x^4+401769396 x^5-29760696 x^6+826686 x^7)+e^{4 x} (48814981614 x^3-27119434230 x^4+6026540940 x^5-669615660 x^6+37200870 x^7-826686 x^8)+e^{3 x} (292889889684 x^3-195259926456 x^4+54238868460 x^5-8035387920 x^6+669615660 x^7-29760696 x^8+551124 x^9)+e^{2 x} (1129718145924 x^3-878669669052 x^4+292889889684 x^5-54238868460 x^6+6026540940 x^7-401769396 x^8+14880348 x^9-236196 x^{10})+e^x (2541865828329 x^3-2259436291848 x^4+878669669052 x^5-195259926456 x^6+27119434230 x^7-2410616376 x^8+133923132 x^9-4251528 x^{10}+59049 x^{11})} \, dx\)
  3.13.66 \(\int \frac {-17860500-12026070 x-2452842 x^2-142884 x^3+(16074450+9406530 x+1468530 x^2+39690 x^3) \log (x)+(-3572100-1786050 x-198450 x^2) \log ^2(x)}{x^5} \, dx\)
  3.13.67 \(\int \frac {4+8 x+x^2+2 x^3+(2 x^2+2 x^3) \log (-1-x)+(2 x^2+2 x^3) \log (x)}{x+x^2} \, dx\)
  3.13.68 \(\int \frac {20+45 x+18 x^2+18 x^3+4 x^4+(-20-20 x-24 x^2-28 x^3-4 x^4) \log (x+x^2)}{125 x^2+125 x^3+100 x^4+100 x^5+20 x^6+20 x^7} \, dx\)
  3.13.69 \(\int \frac {8 e^3 x}{64+192 x^2+144 x^4+e^2 (1+4 x^2+4 x^4)+e^{20} (1+4 x^2+4 x^4)+e (16+56 x^2+48 x^4)+e^{10} (-16-56 x^2-48 x^4+e (-2-8 x^2-8 x^4))} \, dx\)
  3.13.70 \(\int \frac {(-32 x-32 e^{-x} x-192 x^6) \log (1-e^{-x}+x+x^6)+(16-16 e^{-x}+16 x+16 x^6) \log ^2(1-e^{-x}+x+x^6)}{-x^2+e^{-x} x^2-x^3-x^8} \, dx\)
  3.13.71 \(\int \frac {-42-37 x-13 x^2-3 x^3+(24+9 x-2 x^2) \log (x)}{9 x^3+6 x^4+x^5} \, dx\)
  3.13.72 \(\int \frac {-8+10 \log (2 x)+(4-3 x+(20+10 x) \log (2 x)) \log (x^2)+(1+5 \log (2 x)) \log (x^2) \log (\log (x^2))}{10 \log (x^2)} \, dx\)
  3.13.73 \(\int \frac {e^{5 x^2} (2+4 x)+e^{5 x^2} (-30 x+10 x^2+10 x^3) \log (6561-4374 x-3645 x^2+1458 x^3+729 x^4)}{-3+x+x^2} \, dx\)
  3.13.74 \(\int \frac {1-x \log (x)}{x \log (x)} \, dx\)
  3.13.75 \(\int \frac {2944+2336 x-1152 x^2+1016 x^3-264 x^4+90 x^5-11 x^6+2 x^7+e^{\frac {9}{e^{4/3}}} (8+16 x)+e^{\frac {6}{e^{4/3}}} (176+264 x-36 x^2+24 x^3)+e^{\frac {3}{e^{4/3}}} (1248+1408 x-408 x^2+312 x^3-42 x^4+12 x^5)}{1728+8 e^{\frac {9}{e^{4/3}}}-864 x+576 x^2-152 x^3+48 x^4-6 x^5+x^6+e^{\frac {6}{e^{4/3}}} (144-24 x+12 x^2)+e^{\frac {3}{e^{4/3}}} (864-288 x+168 x^2-24 x^3+6 x^4)} \, dx\)
  3.13.76 \(\int \frac {e^{\frac {3-x+3 \log (\frac {-20-5 x-2 x^2}{6 x})}{\log (\frac {-20-5 x-2 x^2}{6 x})}} (60-20 x-6 x^2+2 x^3+(-20 x-5 x^2-2 x^3) \log (\frac {-20-5 x-2 x^2}{6 x}))}{(20 x+5 x^2+2 x^3) \log ^2(\frac {-20-5 x-2 x^2}{6 x})} \, dx\)
  3.13.77 \(\int \frac {30+10 x-3 x^2+(-10+2 x) \log (5-x)}{15 x+2 x^2-x^3+(-5 x+x^2) \log (5-x)} \, dx\)
  3.13.78 \(\int \frac {-2-3 x^2+e^2 (-2+3 x^2)+(4+6 x^2+e^2 (-6-9 x^2)) \log (\frac {2+3 x^2}{x^3})+(-2-3 x^2+e^2 (2+3 x^2)) \log ^2(\frac {2+3 x^2}{x^3})}{2+3 x^2+(-4-6 x^2) \log (\frac {2+3 x^2}{x^3})+(2+3 x^2) \log ^2(\frac {2+3 x^2}{x^3})} \, dx\)
  3.13.79 \(\int \frac {1}{8} e^{2 e^3} (-5+16 x^3) \, dx\)
  3.13.80 \(\int -\frac {5000 e^{5+625 e^{4 x}+4 x}}{e^{10+1250 e^{4 x}}+2 e^{5+625 e^{4 x}} \log (2)+\log ^2(2)} \, dx\)
  3.13.81 \(\int (-3+e^x+2 x) \, dx\)
  3.13.82 \(\int \frac {396 x^2+285 x^3+72 x^4+262 x^5+192 x^6+48 x^7+4 x^8+e^{2 x} (-192+240 x+252 x^2+197 x^3+230 x^4+120 x^5+26 x^6+2 x^7)+e^x (384 x^2+288 x^3+456 x^4+422 x^5+168 x^6+30 x^7+2 x^8)}{192 x^2+144 x^3+36 x^4+3 x^5} \, dx\)
  3.13.83 \(\int \frac {x^2+2 x^2 \log (x)+\log (2500-100 \log (3)+\log ^2(3))}{x^3 \log (x)+x \log (x) \log (2500-100 \log (3)+\log ^2(3))} \, dx\)
  3.13.84 \(\int \frac {-18+24 x-12 x^2+e^x (1-x-x^2+x^3)}{6-12 x+6 x^2} \, dx\)
  3.13.85 \(\int \frac {2 x+2 x^2+\frac {e^{-8+2 x^2} (-2+4 x^2)}{x^2}+x \log (e^{2 x} x^2)}{x} \, dx\)
  3.13.86 \(\int \frac {e^2 (-1+2 x-x^2)+e^2 (-x+x^2) \log (x)}{x \log ^3(x)} \, dx\)
  3.13.87 \(\int \frac {1-x-4 e^5 x^2+e^{5+x} (-10 x^5-2 x^6)}{x} \, dx\)
  3.13.88 \(\int \frac {4 x^2+e^x (-1+5 x)+(e^x+x) \log (e^x+x)}{e^x+x} \, dx\)
  3.13.89 \(\int \frac {e^{\frac {-60+12 e^4+120 x+3 x \log (x)}{-10 x+2 e^4 x+20 x^2}} (-300-12 e^8+e^4 (120-237 x)+1185 x-1170 x^2-30 x^2 \log (x))}{50 x^2+2 e^8 x^2-200 x^3+200 x^4+e^4 (-20 x^2+40 x^3)} \, dx\)
  3.13.90 \(\int \frac {-264+192 x}{256+16 e^6-352 x+249 x^2-88 x^3+16 x^4+e^3 (-128+88 x-32 x^2)} \, dx\)
  3.13.91 \(\int \frac {1+4 e^{2 x} x+e^x (4+x)+(4+4 e^x x) \log (x)}{18 x} \, dx\)
  3.13.92 \(\int \frac {15+3 e^{2 x}-12 x-20 x^2+6 x^3+3 x^4+e^x (14-7 x^2)}{9+e^{2 x}-6 x-5 x^2+2 x^3+x^4+e^x (6-2 x-2 x^2)} \, dx\)
  3.13.93 \(\int \frac {8 x^2-24 x^3-16 x^5+16 x^6+16 x^7-80 x^8+320 x^9-640 x^{10}+640 x^{11}-320 x^{12}+64 x^{13}+(6 x-14 x^2-16 x^5+32 x^6-40 x^7+120 x^8-240 x^9+240 x^{10}-120 x^{11}+24 x^{12}) \log (2)+(1-2 x+x^3-5 x^4+7 x^5-5 x^6+10 x^7-20 x^8+20 x^9-10 x^{10}+2 x^{11}) \log ^2(2)}{-4 x^5+20 x^6-40 x^7+40 x^8-20 x^9+4 x^{10}} \, dx\)
  3.13.94 \(\int \frac {-3-6 x-108 x^2-27 x^4+e^x (-27 x^2+27 x^3)+9 \log (x)}{x^4} \, dx\)
  3.13.95 \(\int \frac {-4 x-4 x^3+6 x^8+(4 x+18 x^6) \log (x)+18 x^4 \log ^2(x)+6 x^2 \log ^3(x)}{3 x^6+9 x^4 \log (x)+9 x^2 \log ^2(x)+3 \log ^3(x)} \, dx\)
  3.13.96 \(\int \frac {e^{2+2 x} (36-9 x)+4 x-x^2+e^{1+x} (8 x-6 x^2+x^3)+(-8 x+2 x^2+e^{1+x} (-72+18 x)) \log (x)+(36-9 x) \log ^2(x)+(e^{2+2 x} (-48-9 x)-e^{1+x} x^2+(x^2+e^{1+x} (96+18 x)) \log (x)+(-48-9 x) \log ^2(x)) \log (\frac {x^2+e^{1+x} (48+9 x)+(-48-9 x) \log (x)}{-12 e^{1+x}+12 \log (x)})}{e^{1+x} x^2+e^{2+2 x} (48+9 x)+(e^{1+x} (-96-18 x)-x^2) \log (x)+(48+9 x) \log ^2(x)} \, dx\)
  3.13.97 \(\int \frac {-8 x-6 x^2+(-5-12 x-6 x^2) \log ^2(3)}{2 \log ^2(3)} \, dx\)
  3.13.98 \(\int \frac {-15+32 x^3+192 x^4+128 x^3 \log (5 x)}{225-480 x^3+1920 x^4+256 x^6-2048 x^7+4096 x^8+(1920 x^3-2048 x^6+8192 x^7) \log (5 x)+4096 x^6 \log ^2(5 x)} \, dx\)
  3.13.99 \(\int \frac {2 e^{\frac {e^{39/16}+\log (3) \log (\frac {x^2}{9})}{\log (3)}}}{x} \, dx\)
  3.13.100 \(\int \frac {12+12 x+3 x^2+e^{15+6 x} (44+24 x)}{12+12 x+3 x^2} \, dx\)