3.57 Integrals 5601 to 5700

  3.57.1 \(\int \frac {(16+20 x) \log (\frac {1}{8} (8 x+5 x^2))}{8 x+5 x^2} \, dx\)
  3.57.2 \(\int \frac {e^{-x-\frac {5 x^2}{30+10 x+x^2}} (900 x-300 x^2-740 x^3-190 x^4-19 x^5-x^6+e^{\frac {5 x^2}{30+10 x+x^2}} (900+600 x+160 x^2+20 x^3+x^4)+e^{\frac {5 x^2}{30+10 x+x^2}} (-900 x-600 x^2-160 x^3-20 x^4-x^5) \log (x))}{900 x+600 x^2+160 x^3+20 x^4+x^5} \, dx\)
  3.57.3 \(\int \frac {-4 x^2+6 x^3+(-2 x^2+9 x^3) \log (x)+(2 x^2-6 x^3) \log ^2(x)+((-14 x^2+21 x^3) \log (x)+(6 x^2-9 x^3) \log ^2(x)) \log ((-4 x+6 x^2) \log (x))}{(-8+12 x) \log (x)+(8-12 x) \log ^2(x)+(-2+3 x) \log ^3(x)} \, dx\)
  3.57.4 \(\int \frac {29229056+446 \log (x)+(-14614529-223 \log (x)) \log (x^2)+(131072+2 \log (x)+(-65536-\log (x)) \log (x^2)) \log (65536+\log (x))}{(65536+\log (x)) \log ^2(x^2)} \, dx\)
  3.57.5 \(\int e^{-2 e^x x} ((4 x-4 x^3) \log (x)+(4 x-8 x^3+e^x (-4 x^2-4 x^3+4 x^4+4 x^5)) \log ^2(x)) \, dx\)
  3.57.6 \(\int \frac {e^{\frac {1+x}{3 x}}+9 x^2}{9 x^2} \, dx\)
  3.57.7 \(\int \frac {e^2 (-3+x)-4 x+(-2 e^2-4 x) \log (x)}{4 x^3 \log (2)} \, dx\)
  3.57.8 \(\int \frac {2+8 x+8 x^2+e^{e^{25}+e^{\frac {e^{-e+e^x}}{2+4 x}}+x} (2+8 x+8 x^2+e^{-e+e^x+\frac {e^{-e+e^x}}{2+4 x}} (-2+e^x (1+2 x)))}{2+8 x+8 x^2} \, dx\)
  3.57.9 \(\int \frac {15+150 x+125 x^2 \log (3)+(200+1000 x) \log (x)+(-100-1000 x) \log ^2(x)}{9+30 x \log (3)+25 x^2 \log ^2(3)+(-120-200 x \log (3)) \log ^2(x)+400 \log ^4(x)} \, dx\)
  3.57.10 \(\int \frac {e^{\frac {4 x+e^{2/3} (-6-6 x^2)+3 e^{2/3} \log (\log (x^2))}{3 e^{2/3} x}} (2+(2-2 x^2) \log (x^2)-\log (x^2) \log (\log (x^2)))}{x^2 \log (x^2)} \, dx\)
  3.57.11 \(\int (-2+e^{169 x} (2+338 x)) \, dx\)
  3.57.12 \(\int \frac {30+28 e^2+6 e^4+e^5 (10+6 e^2)}{x^4} \, dx\)
  3.57.13 \(\int \frac {(4-x)^{\frac {5 e^x}{-3+20 e^x}} (-90 e^x+600 e^{2 x}+e^x (360-90 x) \log (4-x))+(4-x)^{\frac {10 e^x}{-3+20 e^x}} (-30 e^x+200 e^{2 x}+e^x (120-30 x) \log (4-x))}{-36+e^x (480-120 x)+9 x+e^{2 x} (-1600+400 x)} \, dx\)
  3.57.14 \(\int \frac {-524288-6029312 x-33816576 x^2-122421248 x^3-318636032 x^4-627376128 x^5-953286656 x^6-1107525632 x^7-919941120 x^8-385378304 x^9+294787072 x^{10}+834330624 x^{11}+1048039936 x^{12}+944780032 x^{13}+671757312 x^{14}+389319040 x^{15}+186202360 x^{16}+73676772 x^{17}+24022348 x^{18}+6392524 x^{19}+1366512 x^{20}+229024 x^{21}+28984 x^{22}+2604 x^{23}+148 x^{24}+4 x^{25}+(-16777216-155189248 x-692060160 x^2-1974468608 x^3-4028628992 x^4-6230900736 x^5-7583563776 x^6-7507476480 x^7-6314655744 x^8-4819566592 x^9-3588702208 x^{10}-2665648128 x^{11}-1876140032 x^{12}-1163537408 x^{13}-604044288 x^{14}-254886144 x^{15}-85735680 x^{16}-22563072 x^{17}-4534144 x^{18}-670720 x^{19}-68736 x^{20}-4352 x^{21}-128 x^{22}) \log ^2(2)+(-234881024-1719664640 x-5926551552 x^2-12821987328 x^3-19465764864 x^4-21851799552 x^5-18554290176 x^6-11922309120 x^7-5668208640 x^8-1961197568 x^9-692240384 x^{10}-598818816 x^{11}-628064256 x^{12}-463816704 x^{13}-235607040 x^{14}-83576832 x^{15}-20511744 x^{16}-3336192 x^{17}-324608 x^{18}-14336 x^{19}) \log ^4(2)+(-1879048192-10737418240 x-27279753216 x^2-41842376704 x^3-43780145152 x^4-32967229440 x^5-18098421760 x^6-6245318656 x^7+1830813696 x^8+6824132608 x^9+7933394944 x^{10}+5707530240 x^{11}+2731442176 x^{12}+872218624 x^{13}+179208192 x^{14}+21495808 x^{15}+1146880 x^{16}) \log ^6(2)+(-9395240960-41607495680 x-71068286976 x^2-66504884224 x^3-41641050112 x^4-17817403392 x^5-6165626880 x^6-12507414528 x^7-22866296832 x^8-20920139776 x^9-10779099136 x^{10}-3228303360 x^{11}-528220160 x^{12}-36700160 x^{13}) \log ^8(2)+(-30064771072-104152956928 x-96636764160 x^2-23353884672 x^3-13690208256 x^4-11475615744 x^5+31809601536 x^6+48570040320 x^7+26575110144 x^8+6660554752 x^9+645922816 x^{10}) \log ^{10}(2)+(-60129542144-169651208192 x-41875931136 x^2+84825604096 x^3-18253611008 x^4-87375740928 x^5-43419435008 x^6-6576668672 x^7) \log ^{12}(2)+(-68719476736-171798691840 x+25769803776 x^2+120259084288 x^3+36507222016 x^4) \log ^{14}(2)+(-34359738368-85899345920 x) \log ^{16}(2)}{131072 x^5+1114112 x^6+4456448 x^7+11141120 x^8+19496960 x^9+25346048 x^{10}+25346048 x^{11}+19914752 x^{12}+12446720 x^{13}+6223360 x^{14}+2489344 x^{15}+792064 x^{16}+198016 x^{17}+38080 x^{18}+5440 x^{19}+544 x^{20}+34 x^{21}+x^{22}} \, dx\)
  3.57.15 \(\int \frac {5+9 x+8 x^2-2 x^3+(5-x)^4 (-10 x^2-9 x^3+7 x^4)+(5 x-x^2) \log (x)}{-5 x+x^2} \, dx\)
  3.57.16 \(\int \frac {7776-48 e^{\frac {5}{3} (-15+x \log (4))}+e^{\frac {4}{3} (-15+x \log (4))} (672-240 x)-14256 x+10368 x^2-3744 x^3+672 x^4-48 x^5+e^{-15+x \log (4)} (-3744+2688 x-480 x^2)+e^{\frac {2}{3} (-15+x \log (4))} (10368-11232 x+4032 x^2-480 x^3)+e^{\frac {1}{3} (-15+x \log (4))} (-14256+20736 x-11232 x^2+2688 x^3-240 x^4)+(31104-192 e^{\frac {5}{3} (-15+x \log (4))}-62208 x+46656 x^2-16704 x^3+2880 x^4-192 x^5+e^{\frac {4}{3} (-15+x \log (4))} (2688-960 x+64 x \log (4))+e^{-15+x \log (4)} (-14976+10944 x-1920 x^2+(-576 x+192 x^2) \log (4))+e^{\frac {2}{3} (-15+x \log (4))} (41472-46656 x+16704 x^2-1920 x^3+(1728 x-1152 x^2+192 x^3) \log (4))+e^{\frac {1}{3} (-15+x \log (4))} (-57024+88128 x-48384 x^2+11328 x^3-960 x^4+(-1728 x+1728 x^2-576 x^3+64 x^4) \log (4))) \log (x)}{(-96 x^5+3 e^{\frac {5}{3} (-15+x \log (4))} x^5+240 x^6-240 x^7+120 x^8-30 x^9+3 x^{10}+e^{\frac {4}{3} (-15+x \log (4))} (-30 x^5+15 x^6)+e^{-15+x \log (4)} (120 x^5-120 x^6+30 x^7)+e^{\frac {2}{3} (-15+x \log (4))} (-240 x^5+360 x^6-180 x^7+30 x^8)+e^{\frac {1}{3} (-15+x \log (4))} (240 x^5-480 x^6+360 x^7-120 x^8+15 x^9)) \log ^2(x)} \, dx\)
  3.57.17 \(\int e^x \, dx\)
  3.57.18 \(\int \frac {(8 x+4 x^2+(-2 x-x^2) \log (x)) \log (4+2 x)+\log (e^{2 e^3} (3-x)) (12 x-4 x^2+(-3 x+x^2) \log (x)+(-6-x+x^2) \log (4+2 x))}{(-6 x-x^2+x^3) \log ^2(e^{2 e^3} (3-x))} \, dx\)
  3.57.19 \(\int \frac {e^{\frac {64 x^2+32 x^3+16 x^4+(32 x+16 x^2+8 x^3) \log (x)+(4+2 x+x^2) \log ^2(x)}{(32 x+16 x^2) (i \pi +\log (5-\log (5)))^2}} (32 x+96 x^2+80 x^3+68 x^4+16 x^5+(8+8 x+4 x^2+17 x^3+4 x^4) \log (x)+(-4-4 x) \log ^2(x))}{(32 x^2+32 x^3+8 x^4) (i \pi +\log (5-\log (5)))^2} \, dx\)
  3.57.20 \(\int \frac {-5-e^x x^2}{-5 x-5 x^2+e^x x^2} \, dx\)
  3.57.21 \(\int \frac {20+34 e^2-68 e x+34 x^2}{5 e^2-10 e x+5 x^2} \, dx\)
  3.57.22 \(\int \frac {50+19 x+2 x^2}{25 x+10 x^2+x^3} \, dx\)
  3.57.23 \(\int \frac {e^{-25/x} (25 e^6+2^{\frac {1}{x}} e^{4/x} x^{\frac {1}{x}} (-26 e^2+e^2 \log (2 e^4 x)))}{x^2} \, dx\)
  3.57.24 \(\int \frac {-24 x^2+16 x^5-8 x^6+(-144 x^2+96 x^3+96 x^5-112 x^6+32 x^7) \log (x) \log (\log (x))+(8 x^5+(-72 x^2+96 x^5-56 x^6) \log (x) \log (\log (x))) \log (\log (\log (x)))+24 x^5 \log (x) \log (\log (x)) \log ^2(\log (\log (x)))}{\log (x) \log (\log (x))} \, dx\)
  3.57.25 \(\int \frac {e^4 x+e^4 \log (2)+625^{\frac {x}{e^4}} (5 e^4+5 \log (2) \log (625))}{5^{1+\frac {4 x}{e^4}} e^4+e^4 x} \, dx\)
  3.57.26 \(\int \frac {8+3 x}{4 x+x^2} \, dx\)
  3.57.27 \(\int \frac {-x^2+e^x (3 x+3 x^2-3 x^4)+(3 x^2+2 x^3-x^4+e^x (-6 x-3 x^2-3 x^4)) \log (x)+(x+x^2-2 x^3+e^x (-3+3 x+6 x^2-6 x^3)) \log ^2(x)+(-x^2+e^x (3+3 x-3 x^2)) \log ^3(x)}{x^4+2 x^5+x^6+(2 x^3+4 x^4+2 x^5) \log (x)+(x^2+2 x^3+x^4) \log ^2(x)} \, dx\)
  3.57.28 \(\int \frac {x+e^5 (-9-23 x-7 x^2)+e^5 (-6 x-2 x^2) \log (x)}{e^5 x} \, dx\)
  3.57.29 \(\int -\frac {2 e^{\sqrt [5]{e}}}{-27 x+27 x \log (x)-9 x \log ^2(x)+x \log ^3(x)} \, dx\)
  3.57.30 \(\int \frac {5^{\frac {5}{(x+x^2 \log (5)) \log (x)}} e^{-4+5^{\frac {5}{(x+x^2 \log (5)) \log (x)}}} (-5 \log (5)-5 x \log ^2(5)+(-5 \log (5)-10 x \log ^2(5)) \log (x))}{(x^2+2 x^3 \log (5)+x^4 \log ^2(5)) \log ^2(x)} \, dx\)
  3.57.31 \(\int \frac {e^{\frac {x^2+\log (3)+x \log (\frac {1}{2 x^2})}{x}} (-2 x+x^2-\log (3))}{x^2} \, dx\)
  3.57.32 \(\int \frac {e^{\frac {4 x}{12+x^2 \log (3)}} (12-x^2 \log (3))}{1152+192 x^2 \log (3)+8 x^4 \log ^2(3)} \, dx\)
  3.57.33 \(\int \frac {32 e^x \log (261+4 e^x)}{261+4 e^x} \, dx\)
  3.57.34 \(\int \frac {(-8-24 x^2+e^3 (4+12 x^2)) \log ^2(e^{-2+3 x^2} x^2)^{-2+e^3}}{x \log (e^{-2+3 x^2} x^2)} \, dx\)
  3.57.35 \(\int \frac {e^{-x^2 \log (3)-(x-x^2) \log (3) \log (25)} (-3+((-6 x-6 x^2) \log (3)+(-3+3 x+6 x^2) \log (3) \log (25)) \log (1+x))}{(1+x) \log ^2(1+x)} \, dx\)
  3.57.36 \(\int \frac {(-\log (2)+9 e^{3 x} \log (2)) \log (x)+(3 \log (2)-27 e^{3 x} \log (2)) \log (x) \log (\log (x))+(-3 \log (2)+27 e^{3 x} \log (2)) \log (x) \log ^2(\log (x))+(\log (2)-9 e^{3 x} \log (2)) \log (x) \log ^3(\log (x))+e^{\frac {2 x}{\log (2)-2 \log (2) \log (\log (x))+\log (2) \log ^2(\log (x))}} (12 x+(6 x+3 \log (2)) \log (x)+(-6 x-9 \log (2)) \log (x) \log (\log (x))+9 \log (2) \log (x) \log ^2(\log (x))-3 \log (2) \log (x) \log ^3(\log (x)))}{-3 \log (2) \log (x)+9 \log (2) \log (x) \log (\log (x))-9 \log (2) \log (x) \log ^2(\log (x))+3 \log (2) \log (x) \log ^3(\log (x))} \, dx\)
  3.57.37 \(\int \frac {12+\log ^2(\frac {256+32 e+e^2+(-32-2 e) \log (3)+\log ^2(3)}{x^3})}{x \log ^2(\frac {256+32 e+e^2+(-32-2 e) \log (3)+\log ^2(3)}{x^3})} \, dx\)
  3.57.38 \(\int \frac {45+(72 x^2+16 x^3) \log ^2(2)+(15 x^4+4 x^5) \log ^4(2)+\log (6)}{225 x^2+240 x^4 \log ^2(2)+94 x^6 \log ^4(2)+16 x^8 \log ^6(2)+x^{10} \log ^8(2)+(-30 x-16 x^3 \log ^2(2)-2 x^5 \log ^4(2)) \log (6)+\log ^2(6)} \, dx\)
  3.57.39 \(\int \frac {50 x^2+e^{\frac {3+2 x+x^2}{2 x}} (-12-3 x+2 x^2+x^3)}{32 x^2+16 x^3+2 x^4} \, dx\)
  3.57.40 \(\int \frac {-240+64 x-40 x^2+16 x^3+5 x^4}{e^2 x^2 (25 x^2-10 x^3+x^4)} \, dx\)
  3.57.41 \(\int \frac {3 x-4 e^{\frac {1}{4} (1+4 \log ^2(e^{\frac {1}{3} (-5-5 \log (2 x))} x))} \log (e^{\frac {1}{3} (-5-5 \log (2 x))} x)}{3 x} \, dx\)
  3.57.42 \(\int \frac {e^{\sqrt {\frac {200-25 \log (e^x x)}{x}}} (16+\sqrt {\frac {200-25 \log (e^x x)}{x}} (9+x-\log (e^x x))-2 \log (e^x x))}{-16 x^2+2 x^2 \log (e^x x)} \, dx\)
  3.57.43 \(\int \frac {-24-12 x+\log (4)+(18+6 x) \log (2 e^x x)-3 \log ^2(2 e^x x)}{2 x^2} \, dx\)
  3.57.44 \(\int \frac {e^{-2 x+e^{-2 x} (4 e^{2 x}+x)} (e^{2 x}+9 x-18 x^2+(x-2 x^2) \log (x))}{x} \, dx\)
  3.57.45 \(\int \frac {6 e^{3 e^{4/x}} x+18 e^{2 e^{4/x}} x^2+6 x^4+e^{e^{4/x}} (-24 e^{4/x}-6 x+18 x^3)}{e^{3 e^{4/x}}+3 e^{2 e^{4/x}} x+3 e^{e^{4/x}} x^2+x^3} \, dx\)
  3.57.46 \(\int \frac {-48 e^{2 x}-3 e^{2 e^x+2 x}-27 x^4+e^x (72 x-108 x^2)+e^{e^x} (24 e^{2 x}-12 e^{3 x}+18 e^x x^2)}{81 x^4+54 x^5+9 x^6+e^{2 e^x+2 x} (9+6 x+x^2)+e^{2 x} (256+128 x+16 x^2)+e^x (288 x^2+168 x^3+24 x^4)+e^{e^x} (e^{2 x} (-96-56 x-8 x^2)+e^x (-54 x^2-36 x^3-6 x^4))} \, dx\)
  3.57.47 \(\int \frac {(-30-12 x^2-6 x^3+6 x^4) \log ^2(\frac {5+2 x^2+x^3-x^4}{x^2})+\log (\frac {2}{x}) ((60-6 x^3+12 x^4) \log (\frac {5+2 x^2+x^3-x^4}{x^2})+(30+12 x^2+6 x^3-6 x^4) \log ^2(\frac {5+2 x^2+x^3-x^4}{x^2}))}{(-5 x^3-2 x^5-x^6+x^7) \log ^3(\frac {2}{x})} \, dx\)
  3.57.48 \(\int \frac {-3 e^{8 x-2 x \log (2)}+e^{4 x-x \log (2)} (-64+16 \log (2))}{256-96 e^{4 x-x \log (2)} x+9 e^{8 x-2 x \log (2)} x^2} \, dx\)
  3.57.49 \(\int \frac {e^{\frac {-7 x+e^{36+e^4+12 x^2+x^4+e^2 (-12-2 x^2)} x}{16+\log (x)}} (-105+e^{36+e^4+12 x^2+x^4+e^2 (-12-2 x^2)} (15+384 x^2-64 e^2 x^2+64 x^4)+(-7+e^{36+e^4+12 x^2+x^4+e^2 (-12-2 x^2)} (1+24 x^2-4 e^2 x^2+4 x^4)) \log (x))}{256+32 \log (x)+\log ^2(x)} \, dx\)
  3.57.50 \(\int \frac {632 x-2 x^2+(-2-632 x+x^2) \log (-2-632 x+x^2)}{(-2 x-632 x^2+x^3) \log (-2-632 x+x^2)} \, dx\)
  3.57.51 \(\int \frac {-4+4 x+5 e^{4+x} x}{5 x} \, dx\)
  3.57.52 \(\int (16+20 x+80 x^2-40 x^2 \log (5)+(320-40 x-120 x^2+(-120+60 x^2) \log (5)) \log (x)) \, dx\)
  3.57.53 \(\int \frac {e^{\frac {256 x+16 e^{e^x} x}{25 \log ^2(2)}} (256+e^{e^x} (16+16 e^x x))}{25 \log ^2(2)} \, dx\)
  3.57.54 \(\int \frac {-180+(120 e^x-180 x) \log (x^2)-90 \log (x^2) \log (\log (x^2))}{((-4 e^x+3 x^2) \log (x^2)+3 x \log (x^2) \log (\log (x^2))) \log ^2(\frac {1}{16} (16 e^{2 x}-24 e^x x^2+9 x^4+(-24 e^x x+18 x^3) \log (\log (x^2))+9 x^2 \log ^2(\log (x^2))))} \, dx\)
  3.57.55 \(\int \frac {e^{\frac {1}{3} (-4-15 x)} (-75 \log ^2(x)+e^{\frac {2}{3} (-1+e^{\frac {x}{\log (x)}})} (-75 \log ^2(x)+e^{\frac {x}{\log (x)}} (-10+10 \log (x))))}{\log ^2(x)} \, dx\)
  3.57.56 \(\int \frac {(-250 x^2+50 x^3) \log (x) \log (3+x)+(375 x+50 x^2-25 x^3+(-750 x-250 x^2) \log (x)) \log ^2(3+x)}{(-54000+14400 x+4320 x^2-1728 x^3+144 x^4) \log ^2(x)} \, dx\)
  3.57.57 \(\int \frac {(4 e^2 x+8 x^2+e^x (e^2 x+2 x^2)) \log (4 x+e^x x) \log (x \log (4 x+e^x x))+e^{4-x} \log (x \log (4 x+e^x x)) (4 e^2+4 x+e^x (x+x^2+e^2 (1+x))+(4 e^2+4 x+e^x (e^2+x)) \log (4 x+e^x x)+(4 x-4 e^2 x-4 x^2+e^x (x-e^2 x-x^2)) \log (4 x+e^x x) \log (x \log (4 x+e^x x)))}{(4 x+e^x x) \log (4 x+e^x x) \log (x \log (4 x+e^x x))} \, dx\)
  3.57.58 \(\int \frac {e^{\frac {216 e^3 x^2+e^2 (-864 x-432 x^2)+e (864+864 x+216 x^2)}{x^2+2 x^3+x^4+e^2 x^4+e (-2 x^3-2 x^4)}} (-432 e^4 x^3+e^2 (-4320 x-5184 x^2-1296 x^3)+e (1728+4320 x+2592 x^2+432 x^3)+e^3 (2592 x^2+1296 x^3))}{-x^3-3 x^4-3 x^5-x^6+e^3 x^6+e^2 (-3 x^5-3 x^6)+e (3 x^4+6 x^5+3 x^6)} \, dx\)
  3.57.59 \(\int \frac {-7-8 e^{2 x^3}+16 x-8 x^2+(15-16 x) \log ^2(2)-8 \log ^4(2)+e^{x^3} (-15+16 x-3 x^3+16 \log ^2(2))}{4+4 e^{2 x^3}-8 x+4 x^2+(-8+8 x) \log ^2(2)+4 \log ^4(2)+e^{x^3} (8-8 x-8 \log ^2(2))} \, dx\)
  3.57.60 \(\int \frac {-2+2 x^4 \log ^2(\frac {1+200 \log (3)+8 \log (3) \log (5)}{40 \log (3)})}{x^3} \, dx\)
  3.57.61 \(\int \frac {e^x (-1+x)-4 x^2 \log (3) \log ^3(x)+(e^x (4 x-4 x^2)-x^2 \log (3)) \log ^4(x)+e^x (-4 x^2+4 x^3) \log ^8(x)}{x^2-4 x^3 \log ^4(x)+4 x^4 \log ^8(x)} \, dx\)
  3.57.62 \(\int \frac {3750000000 x^{16}+3250000000 x^{17}+1050000000 x^{18}+150000000 x^{19}+8000000 x^{20}+e^x (2500000000 x^{15}+1500000000 x^{16}+175000000 x^{17}-55000000 x^{18}-15000000 x^{19}-1000000 x^{20})}{81 e^{5 x}+810 e^{4 x} x+3240 e^{3 x} x^2+6480 e^{2 x} x^3+6480 e^x x^4+2592 x^5} \, dx\)
  3.57.63 \(\int \frac {-3 x^2+3 x^3 \log (x)+(-3 x^3 \log (x)+3 x^2 \log (x) \log (\log (x))) \log (-x+\log (\log (x)))+(-12 x \log (x)+12 \log (x) \log (\log (x))) \log ^2(-x+\log (\log (x)))}{(-x^3 \log (x)+x^2 \log (x) \log (\log (x))) \log ^2(-x+\log (\log (x)))} \, dx\)
  3.57.64 \(\int \frac {10 x-15 x^2-18 x^3+21 x^4-2 x^5-4 x^6+x^7+e^x (-10 x+5 x^2+8 x^3-6 x^4+x^5)+(5 x^2-4 x^4+x^5) \log (\frac {1+x}{5-5 x+x^2})}{5-30 x+41 x^2+15 x^3-12 x^4+17 x^5-21 x^6+6 x^7-4 x^8+x^9+e^{2 x} (5-4 x^2+x^3)+e^x (-10+30 x+8 x^2-16 x^3+6 x^4-8 x^5+2 x^6)+(10 x-30 x^2-8 x^3+16 x^4-6 x^5+8 x^6-2 x^7+e^x (-10 x+8 x^3-2 x^4)) \log (\frac {1+x}{5-5 x+x^2})+(5 x^2-4 x^4+x^5) \log ^2(\frac {1+x}{5-5 x+x^2})} \, dx\)
  3.57.65 \(\int \frac {-4+(4+4 x) \log (3)}{-1+\log (3)} \, dx\)
  3.57.66 \(\int (-245+294 x) \, dx\)
  3.57.67 \(\int \frac {12150-450 e^3+2025 x-27 x^3}{729 x^3+e^6 x^3+162 x^4+9 x^5+e^3 (-54 x^3-6 x^4)} \, dx\)
  3.57.68 \(\int \frac {4-4 \log (x)+(2-2 \log (x)) \log (\frac {4 x \log (4)-\log (4) \log (x)}{3 x})}{-4 x^2 \log ^8(5)+x \log ^8(5) \log (x)} \, dx\)
  3.57.69 \(\int \frac {10 e^x x-25 x^2+e^{2 x} (2 x+x^2)+(50 x+30 e^x x-25 x^2+e^{2 x} (6 x+3 x^2)) \log (x)+(20 e^x x+e^{2 x} (6 x+3 x^2)) \log ^2(x)+e^{2 x} (2 x+x^2) \log ^3(x)}{e^x+3 e^x \log (x)+3 e^x \log ^2(x)+e^x \log ^3(x)} \, dx\)
  3.57.70 \(\int \frac {40 x+e^x (20+20 x)+(-3-7 x^6) \log (25)}{\log (25)} \, dx\)
  3.57.71 \(\int \frac {1}{3} e^{4+4 e^4+x-x^2} (1-2 x) \, dx\)
  3.57.72 \(\int \frac {5-x-10 \log (x) \log (-\frac {x}{-5+x})}{(-5 x+x^2) \log (x)} \, dx\)
  3.57.73 \(\int e^{-\frac {9+e^2 (5+2 x)}{e^2}} (1-2 x) \, dx\)
  3.57.74 \(\int 2 x \, dx\)
  3.57.75 \(\int \frac {1}{100} (25+50 x+(50 x-50 x^2-4 e^{10-2 x} x^2) \log (e^{\frac {1}{25} (e^{10-2 x}-25 x)} x)+50 x \log ^2(e^{\frac {1}{25} (e^{10-2 x}-25 x)} x)) \, dx\)
  3.57.76 \(\int \frac {-80+320 x-128 x^3-512 x^5+(96 x^2+384 x^4) \log (x)+(-24 x-96 x^3) \log ^2(x)+(2+8 x^2) \log ^3(x)}{-64 x^4+48 x^3 \log (x)-12 x^2 \log ^2(x)+x \log ^3(x)} \, dx\)
  3.57.77 \(\int \frac {9+e^{2 x} (1+e^4-e^9)+6 x+x^2+e^9 (-9-6 x-x^2)+e^4 (13+6 x+x^2)+e^x (6+e^9 (-6-2 x)+2 x+e^4 (10+2 x))}{e^{4+2 x}+e^{4+x} (6+2 x)+e^4 (9+6 x+x^2)} \, dx\)
  3.57.78 \(\int \frac {e^{-2 x^2+2 x^3+e^x (x^2-x^3)} (4+16 x^2-24 x^3+e^x (-8 x^2+8 x^3+4 x^4))}{3 x^2} \, dx\)
  3.57.79 \(\int \frac {x+(-5+19 x+4 x^2) \log (5+x)+(5+x) \log (5+x) \log (\log (5+x))}{(5+x) \log (5+x)} \, dx\)
  3.57.80 \(\int (8+16 x+e^{2 x} (88+16 e^2+32 x+16 x^2)) \, dx\)
  3.57.81 \(\int \frac {-45 x^3+5 x^4+x^5+(65 x^2-10 x^3-x^4) \log (-4+x)+(-20 x+5 x^2) \log ^2(-4+x)}{e^8 (-4000-1400 x+120 x^2+88 x^3+8 x^4)} \, dx\)
  3.57.82 \(\int (e^{-16+x}-8 x) \, dx\)
  3.57.83 \(\int \frac {-e^3 x^2-x^3+(3 e^3 x^2+4 x^3) \log (\frac {-1+e^4}{12 x})}{\log (4)} \, dx\)
  3.57.84 \(\int \frac {1}{2} (-12-3 e^{18}-6 x+e^{2 x^2} (-2-8 x^2)) \, dx\)
  3.57.85 \(\int (-2 x+18 x^2+8 x^3) \, dx\)
  3.57.86 \(\int \frac {40 e^{2 x}+40 e^{10 x^2} x^2-60 x^3+40 x^4+e^x (20 x-60 x^2)+e^{5 x^2} (-80 e^x x-40 x^2+80 x^3-200 x^4)}{e^{2 x} x^3-2 e^x x^5+e^{10 x^2} x^5+x^7+e^{5 x^2} (-2 e^x x^4+2 x^6)} \, dx\)
  3.57.87 \(\int e^x (-5 x+(10-5 x) \log (2)) \, dx\)
  3.57.88 \(\int \frac {e^{\frac {x}{4 \log (x)}} (-e^{\frac {625-1000 x+100 x^2+440 x^3-71 x^4-88 x^5+4 x^6+8 x^7+x^8}{x^4}} x^5-x^6-x^7+(e^{\frac {625-1000 x+100 x^2+440 x^3-71 x^4-88 x^5+4 x^6+8 x^7+x^8}{x^4}} x^5+x^6+x^7) \log (x)+(4 x^5+8 x^6+e^{\frac {625-1000 x+100 x^2+440 x^3-71 x^4-88 x^5+4 x^6+8 x^7+x^8}{x^4}} (-10000+12000 x-800 x^2-1760 x^3-352 x^5+32 x^6+96 x^7+16 x^8)) \log ^2(x))}{4 x^5 \log ^2(x)} \, dx\)
  3.57.89 \(\int \frac {-24 x^2-30 x^6+12 \log (5)}{4 x^2-16 x^3+16 x^4-4 x^7+8 x^8+x^{12}+(-8 x+16 x^2+4 x^6) \log (5)+4 \log ^2(5)} \, dx\)
  3.57.90 \(\int \frac {3-3 x-5 x^2+x^3+(-6 x+6 x^3) \log (x)}{3 x-x^3+(-3 x^2+x^4) \log (x)} \, dx\)
  3.57.91 \(\int \frac {-24 e^{-1+e^{\frac {2 (15+2 x)}{5 x}}+\frac {2 (15+2 x)}{5 x}}+9 x+3 x^2}{4 x^2} \, dx\)
  3.57.92 \(\int \frac {e^{e^{\frac {-\frac {(-4+x)^2 x}{e^4}+x^2-\frac {2 (-4+x) x^2}{e^2}-x^3}{1+\frac {(-4+x)^2 x}{e^4}-x^2+\frac {2 (-4+x) x^2}{e^2}+x^3}}+\frac {-\frac {(-4+x)^2 x}{e^4}+x^2-\frac {2 (-4+x) x^2}{e^2}-x^3}{1+\frac {(-4+x)^2 x}{e^4}-x^2+\frac {2 (-4+x) x^2}{e^2}+x^3}} (8 x-14 x^2+3 x^3+\frac {(-4+x)^2 (-4+3 x)}{e^4}+\frac {(-4+x) (-16 x+6 x^2)}{e^2})}{-4+x+8 x^2-10 x^3-2 x^4+9 x^5-6 x^6+x^7+\frac {(-4+x)^4 (-4 x^2+x^3)}{e^8}+\frac {(-4+x)^3 (-16 x^3+4 x^4)}{e^6}+\frac {(-4+x)^2 (-8 x+2 x^2+8 x^3-26 x^4+6 x^5)}{e^4}+\frac {(-4+x) (-16 x^2+4 x^3+16 x^4-20 x^5+4 x^6)}{e^2}} \, dx\)
  3.57.93 \(\int \frac {-e^{3+2 x}-e^3 x+e^{2 x} (e^{2 x}+x) (12+48 e^{2 x}+24 x)}{e^{2 x}+x} \, dx\)
  3.57.94 \(\int \frac {e^x (-20+4 x) \log (-5+x)+(10 x-2 x^2) \log (x)+(2 e^x x+e^x (-10 x+2 x^2) \log (-5+x)) \log (x^2)}{-5 x+x^2} \, dx\)
  3.57.95 \(\int \frac {e^x \log ^2(x)+e^{\frac {2 x^2+x \log (x)}{\log (x)}} (-2 x+4 x \log (x)+\log ^2(x))}{\log ^2(x)} \, dx\)
  3.57.96 \(\int \frac {8-14 x+7 x^2+(-16 x+4 x^3) \log (x)+(4 x-x^3) \log (\frac {1}{4 x-4 x^2+x^3})}{8-4 x+(-8 x^2+4 x^3) \log (x)+(2 x^2-x^3) \log (\frac {1}{4 x-4 x^2+x^3})} \, dx\)
  3.57.97 \(\int \frac {1400 x^2-200 x^3+25 x^4+e^{2 x} (56-8 x+x^2)+e^x (16-584 x+89 x^2-11 x^3)}{400 x^2-200 x^3+25 x^4+e^{2 x} (16-8 x+x^2)+e^x (-160 x+80 x^2-10 x^3)} \, dx\)
  3.57.98 \(\int \frac {e^{\frac {9}{-8-x^2+\log (x)}} (275-320 x+170 x^2-80 x^3+5 x^4-5 x^5+(-80+80 x-10 x^2+10 x^3) \log (x)+(5-5 x) \log ^2(x))}{e^x (64+16 x^2+x^4)+e^x (-16-2 x^2) \log (x)+e^x \log ^2(x)} \, dx\)
  3.57.99 \(\int \frac {10+e^2 (10+x)-x \log (x)+(10+x) \log (48 x)}{e^4 x^2+2 e^2 x^2 \log (48 x)+x^2 \log ^2(48 x)} \, dx\)
  3.57.100 \(\int \frac {e^4 (152-6 x)+50 x+e^2 (-3800+148 x)+e^{2 x} (-6 e^4+e^2 (-6+6 x))+e^x (2 x-2 x^2+e^4 (-146+6 x)+e^2 (-302+160 x-6 x^2))}{e^{4+3 x}+e^{4+2 x} (75-3 x)+e^{4+x} (1875-150 x+3 x^2)+e^4 (15625-1875 x+75 x^2-x^3)} \, dx\)