3.55.1 \(\int \frac {198-120 x+12 x^2+(-18+12 x) \log (2 x)}{-10 x+x^2+x \log (2 x)} \, dx\)
  3.55.2 \(\int \frac {1+e^{2 x} (-12+24 x-6 x^2)-\log (x)}{4 x^2+e^{2 x} (-96 x+24 x^2)+e^{4 x} (576-288 x+36 x^2)+(e^{2 x} (96-24 x)-8 x) \log (x)+4 \log ^2(x)} \, dx\)
  3.55.3 \(\int \frac {1}{16} e^{-2 x} (-145+16 e^{2 x}-34 x-2 x^2) \, dx\)
  3.55.4 \(\int \frac {e^{\log ^2(30 x^3+30 e^8 x^3+60 x^4+30 x^5+e^4 (-60 x^3-60 x^4))} (-6+6 e^4-10 x) \log (30 x^3+30 e^8 x^3+60 x^4+30 x^5+e^4 (-60 x^3-60 x^4))}{-x+e^4 x-x^2} \, dx\)
  3.55.5 \(\int \frac {-5 x+5 e^x x+(-2+e^x (5-5 x)-3 x+5 x^2) \log (\frac {1}{5} (-2+5 e^x-5 x))+((2+3 x-5 x^2+e^x (-5+5 x)) \log (\frac {1}{5} (-2+5 e^x-5 x))+(2-5 e^x+5 x) \log (\frac {1}{5} (-2+5 e^x-5 x)) \log (x \log (\frac {1}{5} (-2+5 e^x-5 x)))) \log (-1+x-\log (x \log (\frac {1}{5} (-2+5 e^x-5 x))))}{((-2 x-3 x^2+5 x^3+e^x (5 x-5 x^2)) \log (\frac {1}{5} (-2+5 e^x-5 x))+(-2 x+5 e^x x-5 x^2) \log (\frac {1}{5} (-2+5 e^x-5 x)) \log (x \log (\frac {1}{5} (-2+5 e^x-5 x)))) \log (-1+x-\log (x \log (\frac {1}{5} (-2+5 e^x-5 x))))} \, dx\)
  3.55.6 \(\int \frac {29808+4317192 x+2861676 x^2-360810 x^3-637147 x^4-156751 x^5-12005 x^6}{-29808 x+1296 x^2+6480 x^3} \, dx\)
  3.55.7 \(\int \frac {1+8 x+e^{e^{x^2}} (-4+(-4-8 e^{x^2} x^2) \log (x))}{25 x^2+200 x^3+400 x^4+e^{e^{x^2}} (-200 x^2-800 x^3) \log (x)+400 e^{2 e^{x^2}} x^2 \log ^2(x)} \, dx\)
  3.55.8 \(\int \frac {20736 x^2+1440 x^3+25 x^4+13824 x^5+480 x^6+2304 x^8+e^x (-720+670 x+25 x^2-960 x^3+240 x^4) \log (3)}{20736 x^2+1440 x^3+25 x^4+13824 x^5+480 x^6+2304 x^8} \, dx\)
  3.55.9 \(\int \frac {e^{-x} (8-1016 x-257 x^2+112 x^3-8 x^4+e^{1+x} (16-2048 x+512 x^2-32 x^3))}{2 x^2-256 x^3+8224 x^4-2048 x^5+128 x^6} \, dx\)
  3.55.10 \(\int \frac {-5 x^6+e x^6+e^{-\frac {3 x}{-5+e}} (320-240 x+60 x^2-5 x^3+e (-64+48 x-12 x^2+x^3))+e^{-\frac {2 x}{-5+e}} (-240 x^2+120 x^3-15 x^4+e (48 x^2-24 x^3+3 x^4))+e^{-\frac {x}{-5+e}} (-320 x^3+132 x^4-23 x^5+e (64 x^3-20 x^4+3 x^5))}{-5 x^6+e x^6+e^{-\frac {3 x}{-5+e}} (320-240 x+60 x^2-5 x^3+e (-64+48 x-12 x^2+x^3))+e^{-\frac {2 x}{-5+e}} (-240 x^2+120 x^3-15 x^4+e (48 x^2-24 x^3+3 x^4))+e^{-\frac {x}{-5+e}} (60 x^4-15 x^5+e (-12 x^4+3 x^5))} \, dx\)
  3.55.11 \(\int \frac {e^{\frac {e^3+3 x \log (\frac {-3 x+(11+x) \log (2)}{\log (2)})}{x}} (24 e^3 x-72 x^2+(e^3 (-88-8 x)+24 x^2) \log (2))}{-3 x^3+(11 x^2+x^3) \log (2)} \, dx\)
  3.55.12 \(\int \frac {1}{5} (-10-3 e^{5+\frac {1}{5} e^{5-3 x}-3 x}) \, dx\)
  3.55.13 \(\int \frac {e^{\frac {1}{2} (24 x^2-e^3 x^2+x^3)} (48 x-2 e^3 x+3 x^2)}{2+2 e^2} \, dx\)
  3.55.14 \(\int \frac {(3+x)^3 (30-68 x+30 x^2-4 x^3)}{27-9 x-3 x^2+x^3} \, dx\)
  3.55.15 \(\int 60 \log (8) \, dx\)
  3.55.16 \(\int \frac {e^{-2 x} (-e^{2 x} x^2+e^{\frac {2 e^{-2 x} (-e^4+e^{2 x} (-3+x))}{x}} (24 e^{2 x}+e^4 (8+16 x)))}{x^2} \, dx\)
  3.55.17 \(\int \frac {-50 e^2-5 x+e^x x^3}{x^3} \, dx\)
  3.55.18 \(\int \frac {-344373768+(344373768+573956280 x-229582512 x^2) \log ^2(4)+(-803538792 x+267846264 x^3-59521392 x^4) \log ^4(4)+(803538792 x^2-624974616 x^3+89282088 x^4+29760696 x^5-6613488 x^6) \log ^6(4)+(-446410440 x^3+595213920 x^4-297606960 x^5+66134880 x^6-5511240 x^7) \log ^8(4)+(148803480 x^4-267846264 x^5+198404640 x^6-77157360 x^7+16533720 x^8-1837080 x^9+81648 x^{10}) \log ^{10}(4)+(-29760696 x^5+66134880 x^6-62828136 x^7+33067440 x^8-10410120 x^9+1959552 x^{10}-204120 x^{11}+9072 x^{12}) \log ^{12}(4)+(3306744 x^6-8660520 x^7+9920232 x^8-6491016 x^9+2653560 x^{10}-694008 x^{11}+113400 x^{12}-10584 x^{13}+432 x^{14}) \log ^{14}(4)+(19683-59049 x+78732 x^2-61236 x^3+30618 x^4-10206 x^5+2268 x^6-157788 x^7+472419 x^8-629857 x^9+489888 x^{10}-244944 x^{11}+81648 x^{12}-18144 x^{13}+2592 x^{14}-216 x^{15}+8 x^{16}) \log ^{16}(4)+(1836660096+(-1607077584-2678462640 x+1071385056 x^2) \log ^2(4)+(3214155168 x-1071385056 x^3+238085568 x^4) \log ^4(4)+(-2678462640 x^2+2083248720 x^3-297606960 x^4-99202320 x^5+22044960 x^6) \log ^6(4)+(1190427840 x^3-1587237120 x^4+793618560 x^5-176359680 x^6+14696640 x^7) \log ^8(4)+(-297606960 x^4+535692528 x^5-396809280 x^6+154314720 x^7-33067440 x^8+3674160 x^9-163296 x^{10}) \log ^{10}(4)+(39680928 x^5-88179840 x^6+83770848 x^7-44089920 x^8+13880160 x^9-2612736 x^{10}+272160 x^{11}-12096 x^{12}) \log ^{12}(4)+(-2204496 x^6+5773680 x^7-6613488 x^8+4327344 x^9-1769040 x^{10}+462672 x^{11}-75600 x^{12}+7056 x^{13}-288 x^{14}) \log ^{14}(4)) \log (5)+(-4591650240+(3482001432+5803335720 x-2321334288 x^2) \log ^2(4)+(-5892617808 x+1964205936 x^3-436490208 x^4) \log ^4(4)+(4017693960 x^2-3124873080 x^3+446410440 x^4+148803480 x^5-33067440 x^6) \log ^6(4)+(-1388832480 x^3+1851776640 x^4-925888320 x^5+205752960 x^6-17146080 x^7) \log ^8(4)+(248005800 x^4-446410440 x^5+330674400 x^6-128595600 x^7+27556200 x^8-3061800 x^9+136080 x^{10}) \log ^{10}(4)+(-19840464 x^5+44089920 x^6-41885424 x^7+22044960 x^8-6940080 x^9+1306368 x^{10}-136080 x^{11}+6048 x^{12}) \log ^{12}(4)+(367416 x^6-962280 x^7+1102248 x^8-721224 x^9+294840 x^{10}-77112 x^{11}+12600 x^{12}-1176 x^{13}+48 x^{14}) \log ^{14}(4)) \log ^2(5)+(7142567040+(-4642668576-7737780960 x+3095112384 x^2) \log ^2(4)+(6547353120 x-2182451040 x^3+484989120 x^4) \log ^4(4)+(-3571283520 x^2+2777664960 x^3-396809280 x^4-132269760 x^5+29393280 x^6) \log ^6(4)+(925888320 x^3-1234517760 x^4+617258880 x^5-137168640 x^6+11430720 x^7) \log ^8(4)+(-110224800 x^4+198404640 x^5-146966400 x^6+57153600 x^7-12247200 x^8+1360800 x^9-60480 x^{10}) \log ^{10}(4)+(4408992 x^5-9797760 x^6+9307872 x^7-4898880 x^8+1542240 x^9-290304 x^{10}+30240 x^{11}-1344 x^{12}) \log ^{12}(4)) \log ^3(5)+(-7737780960+(4255779528+7092965880 x-2837186352 x^2) \log ^2(4)+(-4910514840 x+1636838280 x^3-363741840 x^4) \log ^4(4)+(2083248720 x^2-1620304560 x^3+231472080 x^4+77157360 x^5-17146080 x^6) \log ^6(4)+(-385786800 x^3+514382400 x^4-257191200 x^5+57153600 x^6-4762800 x^7) \log ^8(4)+(27556200 x^4-49601160 x^5+36741600 x^6-14288400 x^7+3061800 x^8-340200 x^9+15120 x^{10}) \log ^{10}(4)+(-367416 x^5+816480 x^6-775656 x^7+408240 x^8-128520 x^9+24192 x^{10}-2520 x^{11}+112 x^{12}) \log ^{12}(4)) \log ^4(5)+(6190224768+(-2837186352-4728643920 x+1891457568 x^2) \log ^2(4)+(2618941248 x-872980416 x^3+193995648 x^4) \log ^4(4)+(-833299488 x^2+648121824 x^3-92588832 x^4-30862944 x^5+6858432 x^6) \log ^6(4)+(102876480 x^3-137168640 x^4+68584320 x^5-15240960 x^6+1270080 x^7) \log ^8(4)+(-3674160 x^4+6613488 x^5-4898880 x^6+1905120 x^7-408240 x^8+45360 x^9-2016 x^{10}) \log ^{10}(4)) \log ^5(5)+(-3782915136+(1418593176+2364321960 x-945728784 x^2) \log ^2(4)+(-1018477152 x+339492384 x^3-75442752 x^4) \log ^4(4)+(231472080 x^2-180033840 x^3+25719120 x^4+8573040 x^5-1905120 x^6) \log ^6(4)+(-17146080 x^3+22861440 x^4-11430720 x^5+2540160 x^6-211680 x^7) \log ^8(4)+(204120 x^4-367416 x^5+272160 x^6-105840 x^7+22680 x^8-2520 x^9+112 x^{10}) \log ^{10}(4)) \log ^6(5)+(1801388160+(-540416448-900694080 x+360277632 x^2) \log ^2(4)+(290993472 x-96997824 x^3+21555072 x^4) \log ^4(4)+(-44089920 x^2+34292160 x^3-4898880 x^4-1632960 x^5+362880 x^6) \log ^6(4)+(1632960 x^3-2177280 x^4+1088640 x^5-241920 x^6+20160 x^7) \log ^8(4)) \log ^7(5)+(-675520560+(157621464+262702440 x-105080976 x^2) \log ^2(4)+(-60623640 x+20207880 x^3-4490640 x^4) \log ^4(4)+(5511240 x^2-4286520 x^3+612360 x^4+204120 x^5-45360 x^6) \log ^6(4)+(-68040 x^3+90720 x^4-45360 x^5+10080 x^6-840 x^7) \log ^8(4)) \log ^8(5)+(200154240+(-35026992-58378320 x+23351328 x^2) \log ^2(4)+(8981280 x-2993760 x^3+665280 x^4) \log ^4(4)+(-408240 x^2+317520 x^3-45360 x^4-15120 x^5+3360 x^6) \log ^6(4)) \log ^9(5)+(-46702656+(5837832+9729720 x-3891888 x^2) \log ^2(4)+(-898128 x+299376 x^3-66528 x^4) \log ^4(4)+(13608 x^2-10584 x^3+1512 x^4+504 x^5-112 x^6) \log ^6(4)) \log ^{10}(5)+(8491392+(-707616-1179360 x+471744 x^2) \log ^2(4)+(54432 x-18144 x^3+4032 x^4) \log ^4(4)) \log ^{11}(5)+(-1179360+(58968+98280 x-39312 x^2) \log ^2(4)+(-1512 x+504 x^3-112 x^4) \log ^4(4)) \log ^{12}(5)+(120960+(-3024-5040 x+2016 x^2) \log ^2(4)) \log ^{13}(5)+(-8640+(72+120 x-48 x^2) \log ^2(4)) \log ^{14}(5)+384 \log ^{15}(5)-8 \log ^{16}(5)}{(-19683+59049 x-78732 x^2+61236 x^3-30618 x^4+10206 x^5-2268 x^6+324 x^7-27 x^8+x^9) \log ^{16}(4)} \, dx\)
  3.55.19 \(\int \frac {2+16 x+5 x^2+e^5 (10 x+5 x^2)}{2 x+x^2} \, dx\)
  3.55.20 \(\int \frac {e^{5-e^{e^{\frac {e^{16} x}{3}}}-x} (-6-2 e^{16+e^{\frac {e^{16} x}{3}}+\frac {e^{16} x}{3}}-3 e^{-5+e^{e^{\frac {e^{16} x}{3}}}+x} \log (5))}{3 \log (5)} \, dx\)
  3.55.21 \(\int \frac {e^{2 x} (-3+6 e^5+e^{-x} (3+e^5 (-3+x)))+e^x (-36+e^5 (36-12 x))}{144 e^5+e^x (-24 e^{5-x}+e^5 (-48-24 x))+e^{2 x} (e^{5-2 x}+e^{5-x} (4+2 x)+e^5 (4+4 x+x^2))} \, dx\)
  3.55.22 \(\int (300 x^3+e^x (100 x^3+25 x^4)) \, dx\)
  3.55.23 \(\int (-1+(-16 x^3 \log ^3(x)-16 x^3 \log ^4(x)) \log ^2(\frac {3 \log (2)}{e^2})) \, dx\)
  3.55.24 \(\int (-4 x+4 \log (x \log (4))+2 \log ^2(x \log (4))) \, dx\)
  3.55.25 \(\int \frac {-x^3-e x^3+(-2-2 e-3 x) \log (5)+e^{2 x^2} (-4 x^6+(3 x+4 x^3) \log (5))}{x^3+e^2 x^3+2 x^4+x^5+e^{4 x^2} x^5+e (2 x^3+2 x^4)+e^{2 x^2} (-2 x^4-2 e x^4-2 x^5)} \, dx\)
  3.55.26 \(\int \frac {-5 x+x^2+e^{x^2} (10 x^3-2 x^4+e^3 (-10 x^2+2 x^3))+(-20 e^3+e^{x^2} (5 e^3-5 x)+20 x+(-5 e^3+5 x) \log (e^3-x)) \log (\frac {5}{4-e^{x^2}+\log (e^3-x)})}{(4 e^3 x^2-4 x^3+e^{x^2} (-e^3 x^2+x^3)+(e^3 x^2-x^3) \log (e^3-x)) \log ^2(\frac {5}{4-e^{x^2}+\log (e^3-x)})} \, dx\)
  3.55.27 \(\int \frac {(6-6 x-6 x^2+e^x (-2+4 x-x^2)) \log (\log (4))}{16 x^2-16 x^3+4 x^4} \, dx\)
  3.55.28 \(\int \frac {-2 x+2 x^2+(-2 x+4 x^2) \log (x)+e^{\frac {1}{2} (-8+\log (x))} (2 e^{x^2}+e^{x^2} (1+4 x^2) \log (x))}{2 x} \, dx\)
  3.55.29 \(\int \frac {84+16 x-76 x^2+(-80-320 x-80 x^2) \log (\frac {5+20 x+5 x^2}{x})}{1+4 x+x^2} \, dx\)
  3.55.30 \(\int \frac {2 x^6+(6 x^3+2 x^4) \log (2)+(-6 x^3 \log (2)+(18+12 x+2 x^2) \log ^2(2)) \log (x)+(-36-18 x-2 x^2) \log ^2(2) \log ^2(x)}{x^5} \, dx\)
  3.55.31 \(\int \frac {1+5 x}{-4+5 x} \, dx\)
  3.55.32 \(\int -\frac {6075 e^{\frac {225}{-19+3 e+3 x}}}{361+9 e^2-114 x+9 x^2+e (-114+18 x)} \, dx\)
  3.55.33 \(\int \frac {3 x^3+e^{3/x} (15+e (-48-16 x)+5 x)}{-60 x^3+15 x^4+e^{3/x} (-25 x^2+80 e x^2)} \, dx\)
  3.55.34 \(\int \frac {-3-2 x-6 x^2}{3 x} \, dx\)
  3.55.35 \(\int \frac {e^5 (-9-6 x)}{(15 x+5 x^2) \log ^2(\frac {1}{2} (3 x+x^2))} \, dx\)
  3.55.36 \(\int e^5 (5+5 x) \, dx\)
  3.55.37 \(\int \frac {e^{-x} (-20 x-20 x^2+8 x^3+5 e^x x^3+(10+3 x-2 x^2) \log (\log (3)))}{3 x^3} \, dx\)
  3.55.38 \(\int -\frac {2 \log (20)}{15 x^3} \, dx\)
  3.55.39 \(\int \frac {-108+144 x-36 x^2+(54-144 x+54 x^2) \log (x^2)+e^{-5+e^x} (-18+18 x+(9-18 x+e^x (9 x-9 x^2)) \log (x^2))}{\log ^2(x^2)} \, dx\)
  3.55.40 \(\int \frac {-2 x+2 x^2-x^4-2 x^5+33 x^6+30 x^9+(-2+4 x-4 x^3+65 x^4+60 x^7) \log (1-x)+(30 x^2+30 x^5) \log ^2(1-x)}{5 x^4+10 x^2 \log (1-x)+5 \log ^2(1-x)} \, dx\)
  3.55.41 \(\int \frac {1}{4} (-2-2 e^{2 x}+e^x (-1+x)) \, dx\)
  3.55.42 \(\int \frac {-16-128 x^2+768 x^4+(-2-16 x^2+96 x^4) \log (4)}{x^2} \, dx\)
  3.55.43 \(\int (e^{e^x+x}+2 x) \, dx\)
  3.55.44 \(\int \frac {-23 x-86 x^2-238 x^3-40 x^4+100 x^5+(1+3 x-40 x^2-113 x^3-20 x^4+50 x^5) \log (x)+(x+4 x^2+3 x^3) \log ^2(x)+(2-50 x+40 x^2+(1-25 x+20 x^2) \log (x)) \log (2+\log (x))}{2 x+x \log (x)} \, dx\)
  3.55.45 \(\int \frac {-6+x^4+e^{x^4} x^7}{x^4} \, dx\)
  3.55.46 \(\int \frac {2+2 e-e^{25+x}+2 x+(-2-2 e-4 x) \log (\log (2))+2 x \log ^2(\log (2))}{1+e^2-e^{25+x}+2 x+x^2+e (2+2 x)+(-2 x-2 e x-2 x^2) \log (\log (2))+x^2 \log ^2(\log (2))} \, dx\)
  3.55.47 \(\int \frac {20+40 x^2-30 x^3-30 x \log (x)}{16 x^3+24 x^4+9 x^5+(-160 x^3-120 x^4) \log (4)+400 x^3 \log ^2(4)+(16 x+24 x^2+9 x^3+(-160 x-120 x^2) \log (4)+400 x \log ^2(4)) \log (x)+(-16 x^3-12 x^4+80 x^3 \log (4)+(-16 x-12 x^2+80 x \log (4)) \log (x)) \log (x^2+\log (x))+(4 x^3+4 x \log (x)) \log ^2(x^2+\log (x))} \, dx\)
  3.55.48 \(\int \frac {e^{\frac {2+\frac {e^{30 x}}{19683}}{x}} (-2+\frac {e^{30 x} (-1+30 x)}{19683})}{x^2} \, dx\)
  3.55.49 \(\int \frac {-337500+1012500 x-4 e^{16} x-1260000 x^2+872000 x^3-374200 x^4+104008 x^5-18816 x^6+2144 x^7-140 x^8+4 x^9+e^{12} (-100-40 x+52 x^2-8 x^3)+e^8 (-4500+6000 x-2760 x^2+528 x^3-36 x^4)+e^{5 x} (108-216 x+144 x^2-40 x^3+4 x^4)+e^4 (-67500+153000 x-137100 x^2+64440 x^3-17380 x^4+2712 x^5-228 x^6+8 x^7)+e^{4 x} (-2700+5940 x-4680 x^2+1720 x^3-300 x^4+20 x^5+e^4 (-108+288 x-192 x^2+48 x^3-4 x^4))+e^{3 x} (27000-64800 x+58680 x^2-26560 x^3+6440 x^4-800 x^5+40 x^6+e^8 (36-156 x+84 x^2-12 x^3)+e^4 (2160-5544 x+4236 x^2-1404 x^3+212 x^4-12 x^5))+e^{2 x} (-135000+351000 x-358200 x^2+191480 x^3-58760 x^4+10440 x^5-1000 x^6+40 x^7+e^{12} (-4+40 x-12 x^2)+e^8 (-540+1800 x-1188 x^2+288 x^3-24 x^4)+e^4 (-16200+39960 x-33444 x^2+13320 x^3-2760 x^4+288 x^5-12 x^6))+e^x (337500-945000 x-4 e^{16} x+1071000 x^2-657800 x^3+242640 x^4-55480 x^5+7720 x^6-600 x^7+20 x^8+e^{12} (40-192 x+92 x^2-12 x^3)+e^8 (2700-6300 x+4392 x^2-1368 x^3+204 x^4-12 x^5)+e^4 (54000-127800 x+112740 x^2-50388 x^3+12584 x^4-1776 x^5+132 x^6-4 x^7))+(-337500+900000 x-960000 x^2+552000 x^3-190200 x^4+40608 x^5-5280 x^6+384 x^7-12 x^8+e^{12} (-60 x+12 x^2)+e^{5 x} (108-180 x+84 x^2-12 x^3)+e^8 (-1500+600 x+240 x^2-120 x^3+12 x^4)+e^4 (-45000+82500 x-56700 x^2+19320 x^3-3504 x^4+324 x^5-12 x^6)+e^{4 x} (-2700+5040 x-3000 x^2+720 x^3-60 x^4+e^4 (-72+204 x-96 x^2+12 x^3))+e^{3 x} (27000-55800 x+40080 x^2-13200 x^3+2040 x^4-120 x^5+e^8 (12-84 x+24 x^2)+e^4 (1440-3720 x+2196 x^2-480 x^3+36 x^4))+e^{2 x} (-135000+306000 x+12 e^{12} x-256200 x^2+106080 x^3-23400 x^4+2640 x^5-120 x^6+e^8 (-180+864 x-396 x^2+48 x^3)+e^4 (-10800+25200 x-17028 x^2+5004 x^3-684 x^4+36 x^5))+e^x (337500-832500 x+793500 x^2-393300 x^3+111540 x^4-18300 x^5+1620 x^6-60 x^7+e^{12} (-48 x+12 x^2)+e^8 (900-2340 x+1332 x^2-300 x^3+24 x^4)+e^4 (36000-75000 x+53580 x^2-18384 x^3+3336 x^4-312 x^5+12 x^6))) \log (x)+(-112500+262500 x-232500 x^2+106500 x^3-27900 x^4+4236 x^5-348 x^6+12 x^7+e^{5 x} (36-48 x+12 x^2)+e^8 (-300 x+120 x^2-12 x^3)+e^4 (-7500+9000 x-3600 x^2+600 x^3-36 x^4)+e^{4 x} (-900+1380 x-540 x^2+60 x^3+e^4 (-12+48 x-12 x^2))+e^{3 x} (9000-15600 x-12 e^8 x+8160 x^2-1680 x^3+120 x^4+e^4 (240-792 x+324 x^2-36 x^3))+e^{2 x} (-45000+87000 x-56400 x^2+16560 x^3-2280 x^4+120 x^5+e^8 (108 x-24 x^2)+e^4 (-1800+4680 x-2484 x^2+504 x^3-36 x^4))+e^x (112500-240000 x+184500 x^2-69600 x^3+13980 x^4-1440 x^5+60 x^6+e^8 (-180 x+96 x^2-12 x^3)+e^4 (6000-11400 x+6540 x^2-1740 x^3+228 x^4-12 x^5))) \log ^2(x)+(-12500+e^{5 x} (4-4 x)+25000 x-17500 x^2+6000 x^3-1100 x^4+104 x^5-4 x^6+e^{4 x} (-100+120 x+4 e^4 x-20 x^2)+e^4 (-500 x+300 x^2-60 x^3+4 x^4)+e^{3 x} (1000-1400 x+440 x^2-40 x^3+e^4 (-56 x+12 x^2))+e^{2 x} (-5000+8000 x-3600 x^2+640 x^3-40 x^4+e^4 (240 x-108 x^2+12 x^3))+e^x (12500-22500 x+13000 x^2-3400 x^3+420 x^4-20 x^5+e^4 (-200 x+180 x^2-48 x^3+4 x^4))) \log ^3(x)}{-3125 x+e^{5 x} x+3125 x^2-1250 x^3+250 x^4-25 x^5+x^6+e^{4 x} (-25 x+5 x^2)+e^{3 x} (250 x-100 x^2+10 x^3)+e^{2 x} (-1250 x+750 x^2-150 x^3+10 x^4)+e^x (3125 x-2500 x^2+750 x^3-100 x^4+5 x^5)} \, dx\)
  3.55.50 \(\int \frac {-20-4 e^2+8 x}{(5 e^5 x^2+e^3 (50 x^2-10 x^3)+e (125 x^2-50 x^3+5 x^4)) \log (6)} \, dx\)
  3.55.51 \(\int \frac {e^{-e^x x+\frac {e^{-e^x x} (-361 x^2+16 e^{e^x x} x^2)}{8 x}} (-361 x+16 e^{e^x x} x+e^x (361 x^2+361 x^3))}{8 x} \, dx\)
  3.55.52 \(\int \frac {1}{4} e^x (-2 x+47 x^2+16 x^3) \, dx\)
  3.55.53 \(\int \frac {-4 x-4 x^2+8 x^3 \log (x)+(8 x^2-4 x^3) \log ^2(x)-4 x^2 \log ^3(x)+(8 x^2+8 x \log (x)) \log (x+\log (x))}{x^3 \log ^4(x)+x^2 \log ^5(x)+(-2 x^2 \log ^2(x)-2 x \log ^3(x)) \log (x+\log (x))+(x+\log (x)) \log ^2(x+\log (x))} \, dx\)
  3.55.54 \(\int \frac {-6144 x+3840 x^3-80 x^4-600 x^5+15 x^6+(768 x^3-240 x^5+3 x^6) \log (3)-24 x^5 \log ^2(3)+e^x (-2048 x-1024 x^2+1280 x^3+640 x^4-200 x^5-100 x^6+(256 x^3+128 x^4-80 x^5-40 x^6) \log (3)+(-8 x^5-4 x^6) \log ^2(3))}{1024-640 x^2+100 x^4+(-128 x^2+40 x^4) \log (3)+4 x^4 \log ^2(3)} \, dx\)
  3.55.55 \(\int \frac {e^{4+x} (6-6 x)+2 e^{2 x} x^2+e^4 (3 x^2+2 x^3)}{e^4 x^2} \, dx\)
  3.55.56 \(\int e^{10 x+2 x^2+10 x^4+2 x^5} (10+4 x+40 x^3+10 x^4) \, dx\)
  3.55.57 \(\int \frac {5+x+2 \log (4)+2 \log (\frac {1}{4} (5+x+2 \log (4)))}{5+x+2 \log (4)} \, dx\)
  3.55.58 \(\int \frac {e^{-1/x} (-2 x-x^3-2 x^4+(1-x) (i \pi +\log (-2+2 e)))}{x^3} \, dx\)
  3.55.59 \(\int \frac {-8+2 x^2+\frac {e^x (4 x^3+2 x^4)}{x}+\frac {e^{2 x} (2 x^4+2 x^5)}{x^2}-2 \log (\frac {x}{3})}{x} \, dx\)
  3.55.60 \(\int \frac {-3-3 x+2 x^2+x^3-3 x \log (x)}{3 x-x^3+3 x \log (x)} \, dx\)
  3.55.61 \(\int \frac {e^{2 x^2} (16-72 x-16 x^2+48 x^3)}{-x^5+9 x^6-27 x^7+27 x^8} \, dx\)
  3.55.62 \(\int -12 e^{34-6 x^2} x \, dx\)
  3.55.63 \(\int \frac {65 e^{-\frac {1}{-1+65 x}}}{1-130 x+4225 x^2} \, dx\)
  3.55.64 \(\int \frac {300-6 x^3-300 x^4}{(25 x+5 x^3+x^4+25 x^5) \log ^3(\frac {25+5 x^2+x^3+25 x^4}{x^2})} \, dx\)
  3.55.65 \(\int \frac {-300 x^2+e^{\frac {2 (1+x)}{x}} (1-3 x-3 x^2)+e^{\frac {1+x}{x}} (-10+30 x+60 x^2)}{-25 x^2+225 x^3-675 x^4+675 x^5} \, dx\)
  3.55.66 \(\int \frac {e^{\frac {4 x+20 x^2-4 x^3}{3+4 x^3}} (-18 x-12 x^2-120 x^3-12 x^4+32 x^5+80 x^6-32 x^7)}{9+24 x^3+16 x^6} \, dx\)
  3.55.67 \(\int \frac {-x^2+e^6 (9+16 x-x^2)+(x^2+e^6 (-3-8 x+x^2)) \log (-\frac {2 e^6 x^3}{x^2+e^6 (-3-8 x+x^2)})}{(x^2+e^6 (-3-8 x+x^2)) \log ^2(-\frac {2 e^6 x^3}{x^2+e^6 (-3-8 x+x^2)})} \, dx\)
  3.55.68 \(\int \frac {e^{\frac {e^{\frac {5+e^x x+x^2+x^3}{e^x+x+x^2}}}{x}+\frac {5+e^x x+x^2+x^3}{e^x+x+x^2}} (e^{2 x} (-1+x)-5 x-11 x^2-x^3+x^4+x^5+e^x (-7 x+2 x^3))}{e^{2 x} x^2+x^4+2 x^5+x^6+e^x (2 x^3+2 x^4)} \, dx\)
  3.55.69 \(\int \frac {-10 x^2-10 \log (e^{-2-x} (1+x) \log (4))}{x^2} \, dx\)
  3.55.70 \(\int \frac {(-1+2 x) \log (2)+e^{x^2+2 x \log (\log (4))+\log ^2(\log (4))} (-2 x^2 \log (2)-2 x \log (2) \log (\log (4)))}{x+e^{2 x^2+4 x \log (\log (4))+2 \log ^2(\log (4))} x+4 x^2+4 x^3+(-2 x-4 x^2) \log (x)+x \log ^2(x)+e^{x^2+2 x \log (\log (4))+\log ^2(\log (4))} (-2 x-4 x^2+2 x \log (x))} \, dx\)
  3.55.71 \(\int \frac {e^{20-19 x} (-132+(4864-2508 x) \log (\frac {1}{32} (64-33 x)))}{(-64+33 x) \log ^2(\frac {1}{32} (64-33 x))} \, dx\)
  3.55.72 \(\int \frac {16 x^2-8 x^3+x^4+e^{4/x} (-64+32 x-4 x^2)+(16 x^5-4 x^6) \log (x^2)+(16 x^5-3 x^6) \log ^2(x^2)}{16 x^2-8 x^3+x^4} \, dx\)
  3.55.73 \(\int \frac {-96 x^6+32 e^x x^6+e^{2 x^2} (30-24 x^2+e^x (-10-2 x+8 x^2))+e^{x^2} (-96 x^3+96 x^5+e^x (32 x^3+8 x^4-32 x^5))+(-144 x^6+48 e^x x^6+e^{2 x^2} (15-12 x^2+e^x (-5+4 x^2))+e^{x^2} (-96 x^3+96 x^5+e^x (32 x^3+4 x^4-32 x^5))) \log (-3+e^x)+(-72 x^6+24 e^x x^6+e^{x^2} (-24 x^3+24 x^5+e^x (8 x^3-8 x^5))) \log ^2(-3+e^x)+(-12 x^6+4 e^x x^6) \log ^3(-3+e^x)}{-24 x^6+8 e^x x^6+(-36 x^6+12 e^x x^6) \log (-3+e^x)+(-18 x^6+6 e^x x^6) \log ^2(-3+e^x)+(-3 x^6+e^x x^6) \log ^3(-3+e^x)} \, dx\)
  3.55.74 \(\int \frac {e^{-3+(-e^x-x+2 \log (5)) \log ^2(x)} ((-2 e^x-2 x+4 \log (5)) \log (x)+(-x-e^x x) \log ^2(x))}{x} \, dx\)
  3.55.75 \(\int \frac {2 x^2+(-20-5 x^2) \log (4+x^2) \log (\log (4+x^2))}{(4 x^6+x^8) \log (4+x^2)} \, dx\)
  3.55.76 \(\int \frac {36+27 x^2+3 x^4}{80+40 x^2+5 x^4} \, dx\)
  3.55.77 \(\int \frac {-10+e^{e^5+3 x} (e^4 (-2-6 x+3 x^2)+e^2 (-4-12 x+6 x^2) \log (5)+(-2-6 x+3 x^2) \log ^2(5))}{4-4 x+x^2} \, dx\)
  3.55.78 \(\int \frac {2-2 x+x^8+(2 x-x^8) \log (x)}{-2 x+2 x \log (x)} \, dx\)
  3.55.79 \(\int \frac {e^{e^x} (e^x (-1-x)+e^{2 x} x)+e^x (-x^2+x^3)+16 e^x \log ^3(x)+e^x (-4-4 x) \log ^4(x)}{8 e^{2 e^x}+e^x x^3+8 x^4+(-4 e^x x-64 x^2) \log ^4(x)+128 \log ^8(x)+e^{e^x} (-e^x x-16 x^2+64 \log ^4(x))} \, dx\)
  3.55.80 \(\int \frac {25-405 x+40 x^2+e^x (-x+7 x^2+8 x^3)}{-x+8 x^2} \, dx\)
  3.55.81 \(\int \frac {5 x^3+e^{e^{\frac {-25+5 x-5 x^2}{x}}} (-x+e^{\frac {-25+5 x-5 x^2}{x}} (25-5 x^2))}{5 x^3} \, dx\)
  3.55.82 \(\int \frac {(-800 x^5+2000 x^6+(800 x^4-3200 x^5) \log (x)+1200 x^4 \log ^2(x)) \log ^2(\log (16))+(-12800 x^3+38400 x^4-25600 x^3 \log (x)) \log ^3(\log (16))+(e^x (256-256 x)+102400 x^2) \log ^4(\log (16))}{625 x^{12}-2500 x^{11} \log (x)+3750 x^{10} \log ^2(x)-2500 x^9 \log ^3(x)+625 x^8 \log ^4(x)+(40000 x^{10}-120000 x^9 \log (x)+120000 x^8 \log ^2(x)-40000 x^7 \log ^3(x)) \log (\log (16))+(-800 e^x x^6+960000 x^8+(1600 e^x x^5-1920000 x^7) \log (x)+(-800 e^x x^4+960000 x^6) \log ^2(x)) \log ^2(\log (16))+(-25600 e^x x^4+10240000 x^6+(25600 e^x x^3-10240000 x^5) \log (x)) \log ^3(\log (16))+(256 e^{2 x}-204800 e^x x^2+40960000 x^4) \log ^4(\log (16))} \, dx\)
  3.55.83 \(\int \frac {e^{-x+\frac {e^{-x} (-x+e^x (15 x-3 x^2) \log (x))}{\log (x)}} (1+(-1+x) \log (x)+e^x (15-6 x) \log ^2(x))}{\log ^2(x)} \, dx\)
  3.55.84 \(\int \frac {e^{2 x} (-6 x^2+3 x^3)+e^x (2 x-4 x^2+2 x^3+(-24 x^2+12 x^3) \log (9))+(e^x (-2+4 x-2 x^2)+(-8+16 x-8 x^2) \log (9)) \log (e^x+4 \log (9))}{e^x (x^2-2 x^3+x^4)+(4 x^2-8 x^3+4 x^4) \log (9)} \, dx\)
  3.55.85 \(\int \frac {1}{2} (2+e^{x/2}+2 e^4 \log (\frac {9}{4})) \, dx\)
  3.55.86 \(\int \frac {72+e^{2+x}+54 x}{3 e^2} \, dx\)
  3.55.87 \(\int \frac {-2+x+2 e^x x+x^2}{-1-3 x-x^2+e^x x^2} \, dx\)
  3.55.88 \(\int \frac {\frac {e^5}{x}+16 e^{32 e^6+16 x} x}{x} \, dx\)
  3.55.89 \(\int \frac {5+10 x}{1+x+x^2+\log (3)} \, dx\)
  3.55.90 \(\int \frac {1-4 x}{x} \, dx\)
  3.55.91 \(\int \frac {1}{3} e^{\frac {1}{3} (4-20 x+4 x^2)} (-77+12 x+8 x^2) \, dx\)
  3.55.92 \(\int \frac {e^{-\frac {3 e^{-e^{x^2}+2 x}}{x}} (-2 x+e^{-e^{x^2}+2 x} (6-12 x+12 e^{x^2} x^2))}{x^3} \, dx\)
  3.55.93 \(\int \frac {-2 e^{6-\frac {2}{-4+e^{6-x}}} x^2+e^x (16 x^2+e^{12-2 x} x^2-8 e^{6-x} x^2)+e^{6-x} (-24-24 x) \log (3)+e^{12-2 x} (3+3 x) \log (3)+(48+48 x) \log (3)}{e^{-\frac {2}{-4+e^{6-x}}+x} (16 x^2+e^{12-2 x} x^2-8 e^{6-x} x^2)+e^x (16 x^3+e^{12-2 x} x^3-8 e^{6-x} x^3)-48 x \log (3)-3 e^{12-2 x} x \log (3)+24 e^{6-x} x \log (3)} \, dx\)
  3.55.94 \(\int (-18+4 x^2-4 \log (\frac {10}{x})+(-8+6 x^2-2 \log (\frac {10}{x})) \log (x^2)) \, dx\)
  3.55.95 \(\int \frac {32-226 x^2-64 x^3+(-16+65 x^2) \log (4)+e^x (-32 x^3+16 x^3 \log (4))}{-2 x^2+x^2 \log (4)} \, dx\)
  3.55.96 \(\int \frac {1+3 x^2+2 e^{-2+x^2} x^3}{x^2} \, dx\)
  3.55.97 \(\int \frac {-7680-65280 x+3840 x \log (4 x)}{-6859 x+13718 x^2-6859 x^3+(1083 x-2166 x^2+1083 x^3) \log (4 x)+(-57 x+114 x^2-57 x^3) \log ^2(4 x)+(x-2 x^2+x^3) \log ^3(4 x)} \, dx\)
  3.55.98 \(\int \frac {5 e^{2 x}+3 x \log (2)+e^{5+x} (3 e^x+3 \log (2))+e^x (3+5 x \log (2))+e^{5+x} (3 e^x+3 x \log (2)) \log (\frac {e^x+x \log (2)}{\log (2)})}{5 e^{2 x}+(6 x+3 x^2) \log (2)+e^x (6+3 x+5 x \log (2))+e^{5+x} (3 e^x+3 x \log (2)) \log (\frac {e^x+x \log (2)}{\log (2)})} \, dx\)
  3.55.99 \(\int \frac {150+e^x (12-2 x)-60 x+6 x^2}{25-10 x+x^2} \, dx\)
  3.55.100 \(\int \frac {e^x x+5 x \log (x^2)+e^{-e^{\log ^4(e^x+5 \log (x^2))}+x} (e^x x+5 x \log (x^2)+e^{\log ^4(e^x+5 \log (x^2))} (-40-4 e^x x) \log ^3(e^x+5 \log (x^2)))}{e^x x+5 x \log (x^2)} \, dx\)