3.6 Integrals 501 to 600

  3.6.1 \(\int \frac {1}{4} (1+80 x+24 x^2+e^x (-20-28 x-4 x^2)) \, dx\)
  3.6.2 \(\int \frac {6-x}{-5+x} \, dx\)
  3.6.3 \(\int \frac {e^{-5+e^{e^{\frac {x^2+e^5 (4-3 x-2 x^2)}{e^5 x}}}+e^{\frac {x^2+e^5 (4-3 x-2 x^2)}{e^5 x}}+\frac {x^2+e^5 (4-3 x-2 x^2)}{e^5 x}} (x^2+e^5 (-4-2 x^2))}{x^2} \, dx\)
  3.6.4 \(\int (-2 e^{e^4-2 x}+4 \log (5)) \, dx\)
  3.6.5 \(\int \frac {e^{3 e^{\frac {3}{x^2}}} x^3+e^{2 e^{\frac {3}{x^2}}} (144 e^{\frac {3}{x^2}}-36 x^2)}{-1728+432 e^{e^{\frac {3}{x^2}}} x-36 e^{2 e^{\frac {3}{x^2}}} x^2+e^{3 e^{\frac {3}{x^2}}} x^3} \, dx\)
  3.6.6 \(\int \frac {e^x (-60+20 x)+e^x (200 x-60 x^2) \log (x)+e^x (60 x-100 x^2+20 x^3) \log ^2(x)}{(9 x-6 x^2+x^3) \log ^2(x)+(-18 x^2+12 x^3-2 x^4) \log ^3(x)+(9 x^3-6 x^4+x^5) \log ^4(x)} \, dx\)
  3.6.7 \(\int \frac {e^{-x^2} (1+4 e^{4 x}+e^{2 x} (-2-4 x)+2 x+(-38 x-2 e^{4 x} x-2 x^2+4 e^{2 x} x^2-2 x^3) \log (19+e^{4 x}+x-2 e^{2 x} x+x^2))}{19+e^{4 x}+x-2 e^{2 x} x+x^2} \, dx\)
  3.6.8 \(\int (2 e^{x^2} x+e^{4 e^x} (6 x^5+4 e^x x^6)) \, dx\)
  3.6.9 \(\int \frac {(-36 x+x^2) \log (\log (2))+(72-x+(-72 x+x^2) \log (\log (2))) \log (-1+x \log (\log (2)))}{(36 x-x^2+(-36 x^2+x^3) \log (\log (2))) \log (-1+x \log (\log (2)))} \, dx\)
  3.6.10 \(\int e^{-x} (4 e^x x+e^{-3+x+x^2} (8 x^3+4 x^5)) \, dx\)
  3.6.11 \(\int \frac {36-108 x+216 x^2-126 x^3-72 x^5-18 x^6}{(3 x-12 x^2+36 x^3-42 x^4+43 x^5+24 x^6+3 x^7+x^5 \log (2)) \log ^2(\frac {3-12 x+36 x^2-42 x^3+43 x^4+24 x^5+3 x^6+x^4 \log (2)}{x^4})} \, dx\)
  3.6.12 \(\int \frac {e^{\frac {1-6 x+x^2}{x}} (-16+16 x^2)}{x^2} \, dx\)
  3.6.13 \(\int \frac {e^{-x+\frac {e^{-x} (-3 x^3+3 e^x x^4+e^x (x-x^2) \log (x))}{\log (x)}} (3 x^2-3 e^x x^3+(-9 x^2+3 x^3+12 e^x x^3) \log (x)+e^x (1-2 x) \log ^2(x))}{\log ^2(x)} \, dx\)
  3.6.14 \(\int \frac {-18 x^3+9 x^4+2 x^5+e^{\frac {1+2 x \log (6+x)+x^2 \log ^2(6+x)}{x^2}} (-12-2 x+2 x^2+(-12 x-2 x^2+2 x^3) \log (6+x))}{6 x^3+x^4} \, dx\)
  3.6.15 \(\int \frac {4+8 e^{2 x}+e^x (12+4 x)-750 \log ^2(5)+(-2250 \log ^2(5)-3000 e^x \log ^2(5)) \log (x)+281250 \log ^4(5) \log ^2(x)}{4+8 e^x+4 e^{2 x}+(-1500 \log ^2(5)-1500 e^x \log ^2(5)) \log (x)+140625 \log ^4(5) \log ^2(x)} \, dx\)
  3.6.16 \(\int \frac {16 x^5-8 x^6+e^{\frac {-16 x+\log ^2(-2+x)}{x}} (16 x-8 x^2+8 x \log (-2+x)+(8-4 x) \log ^2(-2+x))}{-10 x^4+5 x^5} \, dx\)
  3.6.17 \(\int \frac {-16-16 e^4-8 x^2}{400+1384 x+797 x^2-692 x^3+100 x^4+e^8 (400-200 x+25 x^2)+e^4 (800+1184 x-746 x^2+100 x^3)} \, dx\)
  3.6.18 \(\int \frac {-495+2775 x-804 x^2-146 x^3+70 x^4-6 x^5+e (-125+825 x-465 x^2+91 x^3-6 x^4)+(-1485+522 x+45 x^2-33 x^3+3 x^4+e (-375+225 x-45 x^2+3 x^3)) \log (\frac {99-15 x-6 x^2+x^3+e (25-10 x+x^2)}{25-10 x+x^2})}{-495+174 x+15 x^2-11 x^3+x^4+e (-125+75 x-15 x^2+x^3)} \, dx\)
  3.6.19 \(\int \frac {e^{\frac {5+e^{\frac {15-5 x+5 x^2}{2+x}}+x-x^2}{x}} (-20-20 x-9 x^2-4 x^3-x^4+e^{\frac {15-5 x+5 x^2}{2+x}} (-4-29 x+19 x^2+5 x^3))}{4 x^2+4 x^3+x^4} \, dx\)
  3.6.20 \(\int \frac {-2+x-2 e^{10-2 x} x}{x} \, dx\)
  3.6.21 \(\int \frac {-5-2 x+\log (8)-2 x \log (x) \log (\log (x))}{(25 x+20 x^2+4 x^3+(-10 x-4 x^2) \log (8)+x \log ^2(8)) \log (x) \log ^2(\log (x))} \, dx\)
  3.6.22 \(\int \frac {e^x (-25+235 x+109 x^2+13 x^3+(-20 x-20 x^2-4 x^3) \log (2))+e^x (-25 x-10 x^2-x^3) \log (x)}{125 x+50 x^2+5 x^3} \, dx\)
  3.6.23 \(\int \frac {-12 x+42 x^2-54 x^3+36 x^4+e^5 (-4+6 x-6 x^2)+(2 e^{10}+e^5 (6 x-12 x^2)) \log (x)}{x} \, dx\)
  3.6.24 \(\int \frac {e^{4-x} (-6+6 x-2 x^2-x^3+x^4)}{180+60 x-175 x^2+30 x^3+55 x^4-30 x^5+5 x^6} \, dx\)
  3.6.25 \(\int \frac {e^{-4 x} (e^4 (-2430-1944 x)+e^{4+x} (1944 x^2+1944 x^3) \log (5)+e^{4+2 x} (-324 x^4-648 x^5) \log ^2(5)+e^{4+3 x} (-72 x^6+72 x^7) \log ^3(5)+18 e^{4+4 x} x^8 \log ^4(5))}{x^6} \, dx\)
  3.6.26 \(\int \frac {1}{100} (-100+e^{\frac {1}{5} (e^{\frac {1}{20} (-20+3 x)}+10 x)} (200+3 e^{\frac {1}{20} (-20+3 x)})) \, dx\)
  3.6.27 \(\int (8752+e^x (-4-4 x)) \, dx\)
  3.6.28 \(\int \frac {e^{-4 e^3+x} (-32 x+16 x^2-2 x^3)+(-16+20 x-4 x^2) \log (e^{-x} x)-2 x \log ^2(e^{-x} x)}{16 x-8 x^2+x^3} \, dx\)
  3.6.29 \(\int \frac {e^{3-x-\frac {e^{3-x} (1+5 e^{-3+x} x)}{x}} (-1-x-e^{-3+x} x+6 e^{-3+x+\frac {e^{3-x} (1+5 e^{-3+x} x)}{x}} x)}{5 x} \, dx\)
  3.6.30 \(\int \frac {-32-68 x-66 x^2}{(16 x+17 x^2+11 x^3) \log ^2(-32 x-34 x^2-22 x^3)} \, dx\)
  3.6.31 \(\int \frac {-86+28 x-2 x^2+e^x (-56+22 x-2 x^2)+(-46+10 x) \log (x)}{92-40 x+4 x^2+e^x (23-10 x+x^2)+(23 x-10 x^2+x^3) \log (x)} \, dx\)
  3.6.32 \(\int \frac {-1-\log (x)}{x^2} \, dx\)
  3.6.33 \(\int \frac {x^2+2 x \log (3)+\log ^2(3)+e^x (-4+4 x+4 \log (3)) \log (\log (4))}{5 x^2+x^3+(10 x+2 x^2) \log (3)+(5+x) \log ^2(3)+(16 x^2+32 x \log (3)+16 \log ^2(3)+e^x (4 x+4 \log (3))) \log (\log (4))} \, dx\)
  3.6.34 \(\int \frac {(-520+944 x-656 x^2+156 x^3+40 x^4-28 x^5+4 x^6+e^{2 x} (-128+320 x-320 x^2+160 x^3-40 x^4+4 x^5)+e^x (-576+1232 x-992 x^2+324 x^3-24 x^5+4 x^6)) \log (\frac {185-240 x+62 x^2+34 x^3-14 x^4-2 x^5+x^6+e^{2 x} (16-32 x+24 x^2-8 x^3+x^4)+e^x (104-168 x+82 x^2-10 x^4+2 x^5)}{16-32 x+24 x^2-8 x^3+x^4})}{-370+665 x-364 x^2-6 x^3+62 x^4-10 x^5-4 x^6+x^7+e^{2 x} (-32+80 x-80 x^2+40 x^3-10 x^4+x^5)+e^x (-208+440 x-332 x^2+82 x^3+20 x^4-14 x^5+2 x^6)} \, dx\)
  3.6.35 \(\int \frac {-16-16 x+5 x^2+(-20 x+5 x^2) \log (x)+(-16-12 x+10 x^2) \log (x) \log (\frac {1}{9} (-4-5 x) \log (x))}{(36+45 x) \log (x)} \, dx\)
  3.6.36 \(\int \frac {e^x x^5+e^{-6 x+56 x^2} (-4-6 x+112 x^2)+e^{-6 x+29 x^2} (6 x+12 x^2-116 x^3)+e^{-6 x+2 x^2} (-2 x^2-6 x^3+4 x^4)}{x^5} \, dx\)
  3.6.37 \(\int \frac {1}{25} e^{-2+\frac {-50 e^2+25 e^{2+x}+x^4}{25 e^2}} (450 e^2 x+225 e^{2+x} x^2+36 x^5) \, dx\)
  3.6.38 \(\int \frac {1}{4} (47 x+24 x^2+e^{5-x} (96 x^2-32 x^3)) \, dx\)
  3.6.39 \(\int \frac {(2+4 x) \log (\frac {1}{16} (x+x^2))}{x+x^2} \, dx\)
  3.6.40 \(\int \frac {-1-3 x-x^2 \log (3)+(-18-3 x+(-12 x-2 x^2) \log (3)) \log (6+x) \log (\log (6+x))}{(30+5 x) \log (6+x)} \, dx\)
  3.6.41 \(\int \frac {e^x (-1-x)}{4+8 e^x x+4 e^{2 x} x^2} \, dx\)
  3.6.42 \(\int \frac {1-4 x^3-x^4+e^{e^5} (2 x+x^2)+(-2 x-x^2) \log (x)}{-x-e^{e^5} x^2+x^4+x^2 \log (x)} \, dx\)
  3.6.43 \(\int e^{-32+2 x^2+24 e^2 x^2 \log (x)} (4 x+24 e^2 x+48 e^2 x \log (x)) \, dx\)
  3.6.44 \(\int \frac {80 x+80 x^2+e^x (120+180 x-25 x^2)+(20 x+20 x^2+e^x (40+35 x-5 x^2)) \log (\frac {e^x (8-x)+4 x}{x})}{-64 e^x x^3+e^{2 x} (-128 x^2+16 x^3)+(-32 e^x x^3+e^{2 x} (-64 x^2+8 x^3)) \log (\frac {e^x (8-x)+4 x}{x})+(-4 e^x x^3+e^{2 x} (-8 x^2+x^3)) \log ^2(\frac {e^x (8-x)+4 x}{x})} \, dx\)
  3.6.45 \(\int \frac {76800-156160 x+36000 x^2+50200 x^3-31650 x^4+6750 x^5-500 x^6+e^{3 e} (512-896 x-384 x^2+256 x^3)+e^{2 e} (8192-15104 x-2784 x^2+5280 x^3-960 x^4)+e^e (43520-84352 x+2880 x^2+30200 x^3-11400 x^4+1200 x^5)}{8000+64 e^{3 e}+e^{2 e} (960-240 x)-6000 x+1500 x^2-125 x^3+e^e (4800-2400 x+300 x^2)} \, dx\)
  3.6.46 \(\int \frac {5 x+5 x^2+10 x^3+15 x^4+e^{2 x} (-5+10 x)+e^x (20 x^2+10 x^3)}{x^2} \, dx\)
  3.6.47 \(\int e^{8-117 x+15 x^2} (-117+30 x) \, dx\)
  3.6.48 \(\int \frac {-25-11 e^2}{5 e^2} \, dx\)
  3.6.49 \(\int \frac {-156-87 x-6 x^2+2 x^3+e (-6 x-105 x^2-24 x^3+4 x^4)+e^2 (-18 x^4+2 x^5)}{-171-99 x-8 x^2+2 x^3+e (-117 x^2-28 x^3+4 x^4)+e^2 (-20 x^4+2 x^5)} \, dx\)
  3.6.50 \(\int \frac {3888+e^{50} (432-2592 x)-23328 x-2 e^{2 x} x+e^x (-36+e^{25} (12-156 x)+468 x)+e^{25} (-2592+15552 x)}{11664-7776 e^{25}+1296 e^{50}+e^{2 x}+e^x (-216+72 e^{25})} \, dx\)
  3.6.51 \(\int \frac {e^{\frac {6}{-6561-11502 x-4717 x^2+1580 x^3+970 x^4-174 x^5-60 x^6+16 x^7-x^8+\log (\frac {3}{x})}} (6+69012 x+56604 x^2-28440 x^3-23280 x^4+5220 x^5+2160 x^6-672 x^7+48 x^8)}{43046721 x+150929244 x^2+194192478 x^3+87777108 x^4-26824571 x^5-34936372 x^6-1864564 x^7+5877004 x^8+602158 x^9-655100 x^{10}-26130 x^{11}+48760 x^{12}-3908 x^{13}-1572 x^{14}+376 x^{15}-32 x^{16}+x^{17}+(-13122 x-23004 x^2-9434 x^3+3160 x^4+1940 x^5-348 x^6-120 x^7+32 x^8-2 x^9) \log (\frac {3}{x})+x \log ^2(\frac {3}{x})} \, dx\)
  3.6.52 \(\int \frac {-101+e^2}{3 x^2} \, dx\)
  3.6.53 \(\int \frac {16+2 x^2-6 \log (x)}{25-20 x-6 x^2+4 x^3+x^4+(10 x-4 x^2-2 x^3) \log (6)+x^2 \log ^2(6)+(-30+12 x+6 x^2-6 x \log (6)) \log (x)+9 \log ^2(x)} \, dx\)
  3.6.54 \(\int \frac {1}{3} (3+2 x+e^{-8+4 e^3+2 e^{-8+4 e^3+4 x^2-8 x^3+4 x^4}+4 x^2-8 x^3+4 x^4} (48 x-144 x^2+96 x^3)) \, dx\)
  3.6.55 \(\int \frac {-36+16 x+5 x^2-2 x^3+(12-4 x) \log (-3+x)}{-3 x^2+x^3} \, dx\)
  3.6.56 \(\int \frac {(600+630 x+30 x^2) \log (\frac {20+x}{4}) \log ^2(\log (\frac {20+x}{4}))+e^{\frac {2 (e^5 x^2-3 x^3 \log (\log (\frac {20+x}{4})))}{15 \log (\log (\frac {20+x}{4}))}} (-2 e^5 x^2+e^5 (80 x+4 x^2) \log (\frac {20+x}{4}) \log (\log (\frac {20+x}{4}))+(-360 x^2-18 x^3) \log (\frac {20+x}{4}) \log ^2(\log (\frac {20+x}{4})))+e^{\frac {e^5 x^2-3 x^3 \log (\log (\frac {20+x}{4}))}{15 \log (\log (\frac {20+x}{4}))}} (e^5 (-2 x^2-2 x^3)+e^5 (80 x+84 x^2+4 x^3) \log (\frac {20+x}{4}) \log (\log (\frac {20+x}{4}))+(600+30 x-360 x^2-378 x^3-18 x^4) \log (\frac {20+x}{4}) \log ^2(\log (\frac {20+x}{4})))}{(300+15 x) \log (\frac {20+x}{4}) \log ^2(\log (\frac {20+x}{4}))} \, dx\)
  3.6.57 \(\int \frac {e^{3 e} (8-2 x)+e^{6 e+x} (-8-2 x+2 x^2)}{x^3-2 e^{3 e+x} x^3+e^{6 e+2 x} x^3} \, dx\)
  3.6.58 \(\int \frac {4 e^2 x}{9-6 x^2+x^4} \, dx\)
  3.6.59 \(\int \frac {e^{-2 e^2+2 e^{10}-2 x} (-54-18 x)}{x^7} \, dx\)
  3.6.60 \(\int \frac {-32 i \pi +8 e^{3 x} x+e^{3 x} (8 x+24 x^2) \log (x)+(-\pi ^2 (480 x+32 x^2)+i e^{3 x} \pi (-240 x^2-16 x^3)+e^{6 x} (30 x^3+2 x^4)) \log ^2(x)}{(-16 \pi ^2 x-8 i e^{3 x} \pi x^2+e^{6 x} x^3) \log ^2(x)} \, dx\)
  3.6.61 \(\int \frac {(25+x) \log (x)+\log (x) \log (\log (x))+\frac {(25+x+\log (\log (x))) (12+(300+24 x) \log (x)+12 \log (x) \log (\log (x)))}{e^5}}{(25+x) \log (x)+\log (x) \log (\log (x))} \, dx\)
  3.6.62 \(\int \frac {5 x^3+(-50+2 x^4) \log (27)}{x^3 \log (27)} \, dx\)
  3.6.63 \(\int \frac {-721875+991375 x-129420 x^2-1857 x^3+x^4}{721875 x-135125 x^2-1855 x^3+x^4} \, dx\)
  3.6.64 \(\int \frac {5+10 x+e^x x}{x} \, dx\)
  3.6.65 \(\int \frac {-x^3-6 e^{8+x} x^3+e^8 (432+72 x)}{x^3} \, dx\)
  3.6.66 \(\int \frac {26244 x^8+324 e^{20} x^8-43740 x^9-26244 x^{10}+54432 x^{11}+12312 x^{12}-23328 x^{13}-4860 x^{14}+3564 x^{15}+972 x^{16}+e^{-4+4 x} (-4+4 x)+e^{15} (-3888 x^8+1620 x^9+1944 x^{10})+e^{10} (17496 x^8-14580 x^9-14580 x^{10}+6804 x^{11}+3888 x^{12})+e^5 (-34992 x^8+43740 x^9+34992 x^{10}-38556 x^{11}-15552 x^{12}+8748 x^{13}+3240 x^{14})+e^{-2+2 x} (216 x^5+36 e^{10} x^5-396 x^6-72 x^7+144 x^8+36 x^9+e^5 (-180 x^5+144 x^6+72 x^7))}{x^5} \, dx\)
  3.6.67 \(\int \frac {-7+7 x-3 x^2+e^{-4-2 e^x-2 x} (-4+3 x+e^x (-4+3 x))+e^{-2-e^x-x} (-4+7 x-3 x^2+e^x (4 x-3 x^2))}{-4+3 x} \, dx\)
  3.6.68 \(\int \frac {-16-5 \log (5) \log (32)}{5 x^2 \log (5)} \, dx\)
  3.6.69 \(\int \frac {1+3 x+x \log (2)-x \log (5)}{x} \, dx\)
  3.6.70 \(\int \frac {316 x^3+280 x^4+73 x^5+6 x^6+(320 x+128 x^2+14 x^3) \log (\log (3))+(-160-63 x-6 x^2) \log ^2(\log (3))}{75 x^3+30 x^4+3 x^5} \, dx\)
  3.6.71 \(\int \frac {-11 e x+e^{1+\frac {2+x \log (\frac {e^x}{x})}{x}} (2+2 x-x^2)}{5 x^3} \, dx\)
  3.6.72 \(\int \frac {-3 x^3+12 x^3 \log (x)+220 \log ^2(x)}{4 \log ^2(x)} \, dx\)
  3.6.73 \(\int \frac {e^x (144-12 e-432 x+144 x^2)}{144 e^{2 x} \log (2)+e^x (-24 e-288 x+288 x^2) \log (2)+(e^2+144 x^2-288 x^3+144 x^4+e (24 x-24 x^2)) \log (2)} \, dx\)
  3.6.74 \(\int \frac {-8 x-4 x^2+(8+4 x) \log (3)+(-8 x-4 x \log (3)) \log (x)+(-4 x-2 x^2+(4+2 x) \log (3)) \log (\frac {x^2-2 x \log (3)+\log ^2(3)}{4+4 x+x^2})}{-2 x^2-x^3+(2 x+x^2) \log (3)} \, dx\)
  3.6.75 \(\int \frac {32+e^{-18 x-34 x^2-11 x^3-x^4} (576+2176 x+1056 x^2+128 x^3)}{e^{-54 x-102 x^2-33 x^3-3 x^4}-3 e^{-36 x-68 x^2-22 x^3-2 x^4} x+3 e^{-18 x-34 x^2-11 x^3-x^4} x^2-x^3} \, dx\)
  3.6.76 \(\int \frac {e^{-2 e^x} (5+(-5+10 e^x x) \log (x)+e^{2 e^x} (9+2 x-1280 x^4) \log ^2(x))}{\log ^2(x)} \, dx\)
  3.6.77 \(\int \frac {24 e^{4+2 x}+8 e^x x^2+(4 e^x x^2+e^{2 x} (12 e^4 x+21 x^2-3 e x^2)) \log (\frac {e^{-2 x} (16 x^2+e^x (96 e^4 x+168 x^2-24 e x^2)+e^{2 x} (144 e^8+441 x^2-126 e x^2+9 e^2 x^2+e^4 (504 x-72 e x)))}{9 x^2})}{(4 x^2+e^x (12 e^4 x+21 x^2-3 e x^2)) \log ^2(\frac {e^{-2 x} (16 x^2+e^x (96 e^4 x+168 x^2-24 e x^2)+e^{2 x} (144 e^8+441 x^2-126 e x^2+9 e^2 x^2+e^4 (504 x-72 e x)))}{9 x^2})} \, dx\)
  3.6.78 \(\int \frac {((4 e x^3-8 x^4) \log (3)+(4 e x-8 x^2) \log ^2(3)) \log ^3(x)+(2 e x^3-4 x^4) \log ^2(-e+2 x)+\log ^2(x) (-4 x^5-4 x^3 \log (3)+(-2 e x^4+4 x^5+(-6 e x^2+12 x^3) \log (3)) \log (-e+2 x))+\log (x) ((4 x^4-2 e x^4+4 x^5+(-2 e x^2+4 x^3) \log (3)) \log (-e+2 x)+(2 e x^3-4 x^4) \log ^2(-e+2 x))}{(e-2 x) \log ^3(3) \log ^3(x)+(-3 e x+6 x^2) \log ^2(3) \log ^2(x) \log (-e+2 x)+(3 e x^2-6 x^3) \log (3) \log (x) \log ^2(-e+2 x)+(-e x^3+2 x^4) \log ^3(-e+2 x)} \, dx\)
  3.6.79 \(\int \frac {-18 x^2+3 x^3-30 x^4-5 x^5+(24 x^3+4 x^4) \log (\frac {2 x}{6+x})}{6+x} \, dx\)
  3.6.80 \(\int \frac {e+2 e \log (x)+2 \log ^2(x)}{x^3 \log ^2(x)} \, dx\)
  3.6.81 \(\int \frac {-2 e^3+e^x (e^3 x-x^2)}{2 e^3 x-2 x^2} \, dx\)
  3.6.82 \(\int \frac {-2+3 x^2-2 e^x x^2+(-6 x+4 e^x x) \log (\log (2))+(2-2 e^x) \log ^2(\log (2))}{2 x^2-4 x \log (\log (2))+2 \log ^2(\log (2))} \, dx\)
  3.6.83 \(\int \frac {72-18 x^2+e^{16-32 x^2+24 x^4-8 x^6+x^8} (-4+x^2) (774 x^8-1344 x^{10}+864 x^{12}-240 x^{14}+24 x^{16})}{-4 x^7+x^9} \, dx\)
  3.6.84 \(\int \frac {-1+(-x+x^2+x^3) \log (x)+x \log (x) \log (\frac {120}{\log (x)})}{(-x^2+x^3) \log (x)+x \log (x) \log (\frac {120}{\log (x)})} \, dx\)
  3.6.85 \(\int \frac {e^{x-\frac {e^4 (-5+x)}{x+x^2-x^3}} (-1-2 x+x^3+e^{-x+\frac {e^4 (-5+x)}{x+x^2-x^3}} (1+x-x^2)+\frac {e^4 (5+10 x-16 x^2+2 x^3)}{x+x^2-x^3})}{-1-x+x^2} \, dx\)
  3.6.86 \(\int \frac {e^{\frac {e^{4 e^{e^4}} (e^3 x+x^2)}{-e^3-x+3 e^{4 e^{e^4}} x}} (3 e^{8 e^{e^4}} x^2+e^{4 e^{e^4}} (-e^6-2 e^3 x-x^2))}{e^6+2 e^3 x+x^2+9 e^{8 e^{e^4}} x^2+e^{4 e^{e^4}} (-6 e^3 x-6 x^2)} \, dx\)
  3.6.87 \(\int \frac {1-2 e^3+6 x+3 x^2+(-6-6 x) \log (3)+3 \log ^2(3)}{1+2 x+x^2+(-2-2 x) \log (3)+\log ^2(3)} \, dx\)
  3.6.88 \(\int \frac {-24 e^5 x^4+(432-108 x-108 x^2+27 x^3+e^{10} (-32 x^3+8 x^4)) \log (4-x)+(72 x^4+e^5 (192 x^3-48 x^4) \log (4-x)) \log (\log (4-x))+(-288 x^3+72 x^4) \log (4-x) \log ^2(\log (4-x))}{(-432 x+108 x^2-108 x^3+27 x^4+e^{10} (-16 x^4+4 x^5)) \log (4-x)+e^5 (96 x^4-24 x^5) \log (4-x) \log (\log (4-x))+(-144 x^4+36 x^5) \log (4-x) \log ^2(\log (4-x))} \, dx\)
  3.6.89 \(\int \frac {-4-8 x-6 x^2-2 \log (\frac {16 x^2}{9})}{4 x^4+4 x^5+x^6+(4 x^3+2 x^4) \log (\frac {16 x^2}{9})+x^2 \log ^2(\frac {16 x^2}{9})} \, dx\)
  3.6.90 \(\int e^{-\frac {1}{125} e^{14+e^x}+x \log (2) \log (3)} (-\frac {1}{125} e^{14+e^x+x}+\log (2) \log (3)) \, dx\)
  3.6.91 \(\int \frac {e^{\frac {1}{3} (3 x-4 \log ^2(\log (1+4 x+6 x^2+4 x^3+x^4)))} (e (3+3 x) \log (1+4 x+6 x^2+4 x^3+x^4)-32 e \log (\log (1+4 x+6 x^2+4 x^3+x^4)))}{(3+3 x) \log (1+4 x+6 x^2+4 x^3+x^4)} \, dx\)
  3.6.92 \(\int \frac {100-100 x^2+e^{6-2 e^3-2 x} (50 x^2+50 x^3)+e^{3-e^3-x} (150 x+50 x^2-50 x^3-50 x^4)}{x^5} \, dx\)
  3.6.93 \(\int \frac {e^{e^{\frac {-4 x^2+4 x^4+e^4 (1+x)}{4 x}}+\frac {-4 x^2+4 x^4+e^4 (1+x)}{4 x}} (-e^4-4 x^2+12 x^4)}{4 x^2} \, dx\)
  3.6.94 \(\int \frac {-x-6 x \log (3 x)+2 x \log (3 x) \log (\frac {1}{4} \log (3 x))}{45 \log (3 x)-30 \log (3 x) \log (\frac {1}{4} \log (3 x))+5 \log (3 x) \log ^2(\frac {1}{4} \log (3 x))} \, dx\)
  3.6.95 \(\int \frac {e^{\frac {41958+104976 x+122472 x^2+81648 x^3+34020 x^4+9072 x^5+1512 x^6+144 x^7+6 x^8}{19683 x+52488 x^2+61236 x^3+40824 x^4+17010 x^5+4536 x^6+756 x^7+72 x^8+3 x^9+e^{2 x} (6561 x+17496 x^2+20412 x^3+13608 x^4+5670 x^5+1512 x^6+252 x^7+24 x^8+x^9)}} (-377622-1132866 x-1417176 x^2-1102248 x^3-551124 x^4-183708 x^5-40824 x^6-5832 x^7-486 x^8-18 x^9+e^{2 x} (-125874-629370 x-1186164 x^2-1312200 x^3-918540 x^4-428652 x^5-136080 x^6-29160 x^7-4050 x^8-330 x^9-12 x^{10}))}{177147 x^2+531441 x^3+708588 x^4+551124 x^5+275562 x^6+91854 x^7+20412 x^8+2916 x^9+243 x^{10}+9 x^{11}+e^{4 x} (19683 x^2+59049 x^3+78732 x^4+61236 x^5+30618 x^6+10206 x^7+2268 x^8+324 x^9+27 x^{10}+x^{11})+e^{2 x} (118098 x^2+354294 x^3+472392 x^4+367416 x^5+183708 x^6+61236 x^7+13608 x^8+1944 x^9+162 x^{10}+6 x^{11})} \, dx\)
  3.6.96 \(\int \frac {-x+3 x^2+(-12+33 x+9 x^2) \log (4+x)+(-12 x-3 x^2) \log (4+x) \log (\frac {3}{5 x^3 \log (4+x)})}{(4 x+x^2) \log (4+x)} \, dx\)
  3.6.97 \(\int \frac {4+6 x+4 \log (-\frac {x^2}{\log (5)})}{x^2+x \log (-\frac {x^2}{\log (5)})} \, dx\)
  3.6.98 \(\int \frac {(12+6 x) \log ^2(\frac {x}{2+x})+e^{\frac {5 x}{\log (\frac {x}{2+x})}} (-20+(20+10 x) \log (\frac {x}{2+x}))}{(2+x) \log ^2(\frac {x}{2+x})} \, dx\)
  3.6.99 \(\int \frac {e^{-\frac {e^3 (-3 x+x^3)}{1+e^3 (36 x-24 x^2+4 x^3)}} (e^3 (3-3 x^2)+e^6 (72 x^2-96 x^3+24 x^4))}{1+e^3 (72 x-48 x^2+8 x^3)+e^6 (1296 x^2-1728 x^3+864 x^4-192 x^5+16 x^6)} \, dx\)
  3.6.100 \(\int \frac {-8 e+8 x^2+(-8 e+8 x^2) \log (x)+(32 x+16 x^2 \log (x)) \log (4+2 x \log (x))}{6+3 x \log (x)} \, dx\)