3.88 Integrals 8701 to 8800

  3.88.1 \(\int \frac {16 e^{4 x} x^2+1000 x^3+160 e^{3 x} x^3+625 x^6+e^{2 x} (80 x+80 x^2+600 x^4)+e^x (600 x^2+200 x^3+1000 x^5)}{100+16 e^{4 x} x^2+500 x^3+160 e^{3 x} x^3+625 x^6+e^{2 x} (80 x+600 x^4)+e^x (400 x^2+1000 x^5)} \, dx\)
  3.88.2 \(\int \frac {36+18 x+3 x^2+e^{2 x} (18+12 x+2 x^2)}{9+6 x+x^2} \, dx\)
  3.88.3 \(\int \frac {40-95 x+30 x^2+e^x (16-38 x+12 x^2)+(15-15 x+15 x^2+e^x (-10+16 x-16 x^2+6 x^3)) \log (-1+x-x^2)}{1-x+x^2} \, dx\)
  3.88.4 \(\int \frac {e^{4-e^4+e^{x/2}-x^2} (10 x+5 e^{x/2} x^2-20 x^3)}{x} \, dx\)
  3.88.5 \(\int \frac {1}{2} (14+13 x) \, dx\)
  3.88.6 \(\int \frac {x}{2} \, dx\)
  3.88.7 \(\int \frac {1+x^2+e^{16-40 x+33 x^2-10 x^3+x^4+(-32+56 x-28 x^2+4 x^3) \log (2)+(24-26 x+6 x^2) \log ^2(2)+(-8+4 x) \log ^3(2)+\log ^4(2)} (-1-40 x+66 x^2-30 x^3+4 x^4+(56 x-56 x^2+12 x^3) \log (2)+(-26 x+12 x^2) \log ^2(2)+4 x \log ^3(2))}{x^2} \, dx\)
  3.88.8 \(\int \frac {e^{-2 x} (-8 e^{\frac {4 e^{-2 x}}{\log (5)}}+2 e^{2 x} x \log (5) \log (\log (2)))}{\log (5)} \, dx\)
  3.88.9 \(\int \frac {-144+9 x^2+(240+60 x) \log (\frac {14 x}{3})-120 \log ^2(\frac {14 x}{3})+100 \log ^3(\frac {14 x}{3})-25 \log ^4(\frac {14 x}{3})}{9 x^2} \, dx\)
  3.88.10 \(\int \frac {144-2244 x-1728 x^2-1425 x^3-360 x^4-144 x^5+e^5 (48-60 x-96 x^2)+(1104 x+360 x^2+288 x^3) \log (x)-144 x \log ^2(x)}{256 x+160 x^2+153 x^3+40 x^4+16 x^5+(-128 x-40 x^2-32 x^3) \log (x)+16 x \log ^2(x)} \, dx\)
  3.88.11 \(\int \frac {e^{5 x/2} (66+5 x+e^2 (20-32 x+20 x^2))}{5488+1176 x+84 x^2+2 x^3+e^2 (4704+672 x+4728 x^2+672 x^3+24 x^4)+e^4 (1344+96 x+2688 x^2+192 x^3+1344 x^4+96 x^5)+e^6 (128+384 x^2+384 x^4+128 x^6)} \, dx\)
  3.88.12 \(\int \frac {\frac {9}{e^4}+85 x^2-36 x^3+4 x^4+\frac {3 (2+18 x-4 x^2)}{e^2}}{\frac {9}{e^4}+81 x^2-36 x^3+4 x^4+\frac {3 (18 x-4 x^2)}{e^2}} \, dx\)
  3.88.13 \(\int (1+e^{\frac {1}{5} (1-5 x-5 \log (2))} (5-7 x+x^2)+e^x (-5-3 x+x^2)) \, dx\)
  3.88.14 \(\int \frac {12-16 x}{(-x+x^2) \log (\frac {-x^3+x^4}{9 \log (\log (4))})+(-2 x+2 x^2) \log (\frac {-x^3+x^4}{9 \log (\log (4))}) \log (\log (\frac {-x^3+x^4}{9 \log (\log (4))}))+(-x+x^2) \log (\frac {-x^3+x^4}{9 \log (\log (4))}) \log ^2(\log (\frac {-x^3+x^4}{9 \log (\log (4))}))} \, dx\)
  3.88.15 \(\int \frac {432-2160 x+3600 x^2-2000 x^3+(-81+1487 x-6755 x^2+12750 x^3-10625 x^4+3125 x^5) \log (5 x)+(-1728+5760 x-4800 x^2+(432-6480 x+21600 x^2-26000 x^3+10000 x^4) \log (5 x)) \log (\log (5 x))+(2304-3840 x+(-864+10080 x-21600 x^2+12000 x^3) \log (5 x)) \log ^2(\log (5 x))+(-1024+(768-6400 x+6400 x^2) \log (5 x)) \log ^3(\log (5 x))+(-256+1280 x) \log (5 x) \log ^4(\log (5 x))}{(405 x-2705 x^2+6750 x^3-7500 x^4+3125 x^5) \log (5 x)+(-2160 x+10800 x^2-18000 x^3+10000 x^4) \log (5 x) \log (\log (5 x))+(4320 x-14400 x^2+12000 x^3) \log (5 x) \log ^2(\log (5 x))+(-3840 x+6400 x^2) \log (5 x) \log ^3(\log (5 x))+1280 x \log (5 x) \log ^4(\log (5 x))} \, dx\)
  3.88.16 \(\int \frac {(-30 x-24 x^2-6 x^3+e^{4 x} (-10 x-8 x^2-2 x^3)+(10 x+8 x^2+2 x^3) \log (x)) \log (\frac {-4+8 x+4 x^2}{2+x})+(4-6 x-8 x^2-2 x^3+e^{4 x} (-16 x+24 x^2+32 x^3+8 x^4)) \log ^2(\frac {-4+8 x+4 x^2}{2+x})}{54 x-81 x^2-108 x^3-27 x^4+e^{4 x} (54 x-81 x^2-108 x^3-27 x^4)+e^{8 x} (18 x-27 x^2-36 x^3-9 x^4)+e^{12 x} (2 x-3 x^2-4 x^3-x^4)+(-54 x+81 x^2+108 x^3+27 x^4+e^{8 x} (-6 x+9 x^2+12 x^3+3 x^4)+e^{4 x} (-36 x+54 x^2+72 x^3+18 x^4)) \log (x)+(18 x-27 x^2-36 x^3-9 x^4+e^{4 x} (6 x-9 x^2-12 x^3-3 x^4)) \log ^2(x)+(-2 x+3 x^2+4 x^3+x^4) \log ^3(x)} \, dx\)
  3.88.17 \(\int \frac {5^{\frac {100 e^{-x} x^2}{-9+200 x^2+200 x^3}} e^{-x} x^{\frac {100 e^{-x} x^2}{-9+200 x^2+200 x^3}} (-900 x+20000 x^3+20000 x^4+(-1800 x+900 x^2-40000 x^4-20000 x^5) \log (5 x))}{81-3600 x^2-3600 x^3+40000 x^4+80000 x^5+40000 x^6} \, dx\)
  3.88.18 \(\int \frac {-5+(10+14 x^2+5 x^3-2 x^4) \log (x)+(-4-5 x+2 x^2) \log (x) \log (\frac {\log (x)}{x^2})}{-5 x^3 \log (x)+5 x \log (x) \log (\frac {\log (x)}{x^2})} \, dx\)
  3.88.19 \(\int \frac {-8+16 x+e^{\frac {1}{16} (36-36 x+9 x^2)} (-72+306 x-81 x^2)}{8 x+72 e^{\frac {1}{16} (36-36 x+9 x^2)} x} \, dx\)
  3.88.20 \(\int \frac {e^{\frac {2 (16-10 x+x^2-4 x^3-x^4)}{x^2}} (-64+20 x-8 x^3-4 x^4)}{x^3} \, dx\)
  3.88.21 \(\int \frac {e^{4+x+e^{5+e^x+3 x} \log (\log ^2(x))} (2 e^{5+e^x+3 x}+(-2+x) \log (x)+e^{5+e^x+3 x} (3 x+e^x x) \log (x) \log (\log ^2(x)))}{x^3 \log (x)} \, dx\)
  3.88.22 \(\int -\frac {2 e^3}{x^2} \, dx\)
  3.88.23 \(\int \frac {-16+30 x+(-25 x^3-10 x^4) \log (4)}{-8 x+30 x^2-25 x^3+(25 x^4+5 x^5) \log (4)} \, dx\)
  3.88.24 \(\int \frac {1+x^2}{-2 x+2 x^3} \, dx\)
  3.88.25 \(\int \frac {36+684 x+3348 x^2+1068 x^3-19264 x^4-15360 x^5+16384 x^6+(108 x+1836 x^2+11112 x^3+25728 x^4+6144 x^5-32768 x^6) \log (3)+(108 x^3+1728 x^4+9216 x^5+16384 x^6) \log ^2(3)}{27+432 x+2304 x^2+4096 x^3} \, dx\)
  3.88.26 \(\int \frac {-97071-17091 x+9528 x^2+2220 x^3-162 x^4-60 x^5+(-10110-4338 x-168 x^2+168 x^3+24 x^4) \log (5-x)}{-25+5 x} \, dx\)
  3.88.27 \(\int \frac {e^{\frac {16 e^{-\frac {10}{-5+x}}-32 e^{-\frac {5}{-5+x}} x+16 x^2}{-75 x^7+25 x^8}} (6000 x^2-4800 x^3+1200 x^4-96 x^5+e^{-\frac {10}{-5+x}} (8400-7040 x+1776 x^2-128 x^3)+e^{-\frac {5}{-5+x}} (-14400 x+11840 x^2-2976 x^3+224 x^4))}{5625 x^8-6000 x^9+2350 x^{10}-400 x^{11}+25 x^{12}} \, dx\)
  3.88.28 \(\int \frac {e^{2+\frac {e^2}{3 x+12 x^2}} (1+8 x)}{3 x^2+24 x^3+48 x^4} \, dx\)
  3.88.29 \(\int \frac {-4+28 x-5 x^2}{-28+4 x-7 x^2+x^3} \, dx\)
  3.88.30 \(\int \frac {e^{\frac {e^{\frac {x+40 x^2+4 x^3}{2+20 x+2 x^2}}}{x}+\frac {x+40 x^2+4 x^3}{2+20 x+2 x^2}} (-2-39 x-124 x^2+371 x^3+78 x^4+4 x^5)}{2 x^2+40 x^3+204 x^4+40 x^5+2 x^6} \, dx\)
  3.88.31 \(\int \frac {27+2 x+e^{5+x} (2+2 x)}{4+27 x+2 e^{5+x} x+x^2} \, dx\)
  3.88.32 \(\int \frac {-x+2 x^2-3 x^3+4 x^4-32 x^5+12 x^6+(2 x-4 x^2+10 x^3-6 x^4) \log (x)}{49 x^4-70 x^5-3 x^6+20 x^7+4 x^8+(-14 x^2+24 x^3-6 x^4-4 x^5) \log (x)+(1-2 x+x^2) \log ^2(x)} \, dx\)
  3.88.33 \(\int \frac {-24+9 x-x^2+(-36+33 x-10 x^2+x^3) \log (4)+(-12+3 x) \log (-4+x)}{(-36+33 x-10 x^2+x^3) \log (4)} \, dx\)
  3.88.34 \(\int \frac {-5 x^2+e^{\frac {9+3 x-20 x^2-3 x^3+e^2 (-3-x+7 x^2+x^3)}{x}} (-9-20 x^2-6 x^3+e^2 (3+7 x^2+2 x^3))}{5 x^2} \, dx\)
  3.88.35 \(\int \frac {1100 x+1080 x^2+332 x^3+32 x^4+(1000+1040 x+328 x^2+32 x^3) \log (5)+(6000 x+10000 x^2+5760 x^3+1408 x^4+128 x^5+(5000+9000 x+5440 x^2+1376 x^3+128 x^4) \log (5)) \log (x)+(2500 x+8000 x^2+7200 x^3+2560 x^4+320 x^5+(4000 x+4800 x^2+1920 x^3+256 x^4) \log (5)) \log ^2(x)}{x} \, dx\)
  3.88.36 \(\int \frac {-2 x-4 x^2-2 x^3+(4 x+4 x^2) \log (3)-2 x \log ^2(3)+(-8 x-4 x^2+4 x^3+(6 x-6 x^2) \log (3)+2 x \log ^2(3)) \log (x)+(20 x+30 x^2-20 x \log (3)) \log ^2(x)+50 x \log ^3(x)}{\log ^3(x)} \, dx\)
  3.88.37 \(\int \frac {5 x^2+e^x x^2+e^{x-2 x^2+x^3} (-3-7 x-7 x^2-11 x^3+15 x^4+e^x (-1-4 x^2+3 x^3))}{e^{2 x-4 x^2+2 x^3}-2 e^{x-2 x^2+x^3} x+x^2} \, dx\)
  3.88.38 \(\int (3+48 x-3 x^2-2 x \log (-i \pi -\log (2))) \, dx\)
  3.88.39 \(\int \frac {-1+2 x+(12 x-4 x^2) \log (x)+(17 x-12 x^2+2 x^3) \log ^2(x)}{x+(6 x-2 x^2) \log (x)+(9 x-6 x^2+x^3) \log ^2(x)} \, dx\)
  3.88.40 \(\int \frac {e^2 (-20 x^4-5 x^5) \log (4)+125 e x \log ^2(4)+(e^2 (-20 x^4-10 x^5) \log (4)-250 e x \log ^2(4)) \log (x)}{(e^2 (16 x^6+8 x^7+x^8)+e (-200 x^3-50 x^4) \log (4)+625 \log ^2(4)) \log ^2(x)} \, dx\)
  3.88.41 \(\int \frac {e^{-4-8 x} (-4860-6075 x+9720 x^2)}{x^5} \, dx\)
  3.88.42 \(\int \frac {e^{\frac {3 x+e^{200+40 x+2 x^2} x-\log (-2+e^2+e^5)}{x}} (e^{200+40 x+2 x^2} (40 x^2+4 x^3)+\log (-2+e^2+e^5))}{x^2} \, dx\)
  3.88.43 \(\int \frac {e^{-1+x} (-504+504 x-504 x^2+168 x^3)}{225 x^2+150 x^4+25 x^6} \, dx\)
  3.88.44 \(\int (3+2 \log (x)) \, dx\)
  3.88.45 \(\int \frac {-8-8 x-4 x^3+10 x^4+12 x^5-8 x^6+6 x^8}{x^3} \, dx\)
  3.88.46 \(\int \frac {-2-x}{8 \log (\frac {e^4}{4})} \, dx\)
  3.88.47 \(\int \frac {50+50 x+(51+103 x+2 x^2) \log (x)+(1250+1250 x+(1300+2550 x) \log (x)) \log (1+x)+(625+625 x) \log (x) \log ^2(1+x)+(1250+1250 x+(1300+2550 x) \log (x)+(1250+1250 x) \log (x) \log (1+x)) \log (4 x \log (x))+(625+625 x) \log (x) \log ^2(4 x \log (x))}{(1+x) \log (x)} \, dx\)
  3.88.48 \(\int \frac {x+e^{6-2 x} (-773768 x+2488 x^2-2 x^3)+2 \log (x)+e^{6-2 x} (2488 x-4 x^2) \log ^2(x)-2 e^{6-2 x} x \log ^4(x)}{386884 x-1244 x^2+x^3+(-1244 x+2 x^2) \log ^2(x)+x \log ^4(x)} \, dx\)
  3.88.49 \(\int \frac {3+2 x+3 x^2+e (-6+2 x-32 x^2+6 x^3)+e^2 (3-4 x+32 x^2-24 x^3+3 x^4)}{1+e (-2+2 x)+e^2 (1-2 x+x^2)} \, dx\)
  3.88.50 \(\int (2 e^{2 x}+2 x+69 x^2+529 x^3+e^x (-1-48 x-23 x^2)) \, dx\)
  3.88.51 \(\int \frac {e^{\frac {-5 x+10 e^{2 x} x+e^x (15+10 x^2)+(4 e^x x+4 x^2) \log ^2(x)}{5 e^{2 x} x+5 e^x x^2}} (5 e^{3 x} x+5 x^2+5 x^3+e^{2 x} (-15-15 x+10 x^2)+e^x (-30 x+10 x^2+5 x^3)+(8 e^{2 x} x+16 e^x x^2+8 x^3) \log (x)+(-4 e^{2 x} x^2-8 e^x x^3-4 x^4) \log ^2(x))}{5 e^{3 x} x+10 e^{2 x} x^2+5 e^x x^3} \, dx\)
  3.88.52 \(\int \frac {1}{4} (2+e^{21} (-1-2 x)-e^{21} \log (x)) \, dx\)
  3.88.53 \(\int \frac {1}{2} (2-\log (5 e^x)) \, dx\)
  3.88.54 \(\int (30 x-20 x^3+e^{\frac {2}{5} (28-4 x)} (-10 x+8 x^2)+e^{\frac {1}{5} (28-4 x)} (-30 x^2+8 x^3)) \, dx\)
  3.88.55 \(\int \frac {-10 e^{\frac {1}{x}} x \log (\frac {1}{x^2})+(-20 e^{\frac {1}{x}} x+e^{\frac {1}{x}} (-10-10 x) \log (\frac {1}{x^2})) \log (x)}{x^3 \log ^2(x)} \, dx\)
  3.88.56 \(\int \frac {(6 x+2 x^2) \log (x)+(-12-10 x-2 x^2+(4 x+2 x^2) \log (x)) \log (2+x)+(-18 x-21 x^2-8 x^3-x^4+e^x (36 x+42 x^2+16 x^3+2 x^4)) \log ^2(2+x)}{(36 x+42 x^2+16 x^3+2 x^4) \log ^2(2+x)} \, dx\)
  3.88.57 \(\int \frac {-15 x^2+e^{\frac {2-x^3+x^4}{x}} (10+10 x^3-15 x^4)}{12 x^2+3 e^{\frac {2 (2-x^3+x^4)}{x}} x^2-36 x^3+27 x^4+e^{\frac {2-x^3+x^4}{x}} (-12 x^2+18 x^3)} \, dx\)
  3.88.58 \(\int -\frac {4}{x^2-2 x \log (\frac {3}{2})+\log ^2(\frac {3}{2})} \, dx\)
  3.88.59 \(\int \frac {e^{-5+x} (-15+x)}{3 x^{16}} \, dx\)
  3.88.60 \(\int -\frac {4-60 x-(4-60 x) \log (\frac {3}{2})+(-4+4 \log (\frac {3}{2})) \log (x)+(-2+2 \log (\frac {3}{2})) \log ^2(x)}{5 \log (\frac {3}{2})} \, dx\)
  3.88.61 \(\int \frac {-24+12 x+(36 x-36 \log (x^2)) \log (-x+\log (x^2))+(x^4-x^3 \log (x^2)) \log ^2(-x+\log (x^2))}{(-x^5+x^4 \log (x^2)) \log ^2(-x+\log (x^2))} \, dx\)
  3.88.62 \(\int \frac {e^{15} (10-24 x+6 x^2)+e^{15} (-10+22 x-4 x^2) \log (5)+e^{15} (-10+22 x-4 x^2) \log (5-x)}{-5 x+6 x^2-x^3+(5 x-6 x^2+x^3) \log (5)+(5 x-6 x^2+x^3) \log (5-x)+(e^5 (-15 x+18 x^2-3 x^3)+e^5 (15 x-18 x^2+3 x^3) \log (5)+e^5 (15 x-18 x^2+3 x^3) \log (5-x)) \log (\frac {-x+x^2}{-1+\log (5)+\log (5-x)})+(e^{10} (-15 x+18 x^2-3 x^3)+e^{10} (15 x-18 x^2+3 x^3) \log (5)+e^{10} (15 x-18 x^2+3 x^3) \log (5-x)) \log ^2(\frac {-x+x^2}{-1+\log (5)+\log (5-x)})+(e^{15} (-5 x+6 x^2-x^3)+e^{15} (5 x-6 x^2+x^3) \log (5)+e^{15} (5 x-6 x^2+x^3) \log (5-x)) \log ^3(\frac {-x+x^2}{-1+\log (5)+\log (5-x)})} \, dx\)
  3.88.63 \(\int \frac {1}{2} (e (-18+9 x)+3 \log (\frac {5}{4})+(e (-6+6 x)+\log (\frac {5}{4})) \log (x^3)) \, dx\)
  3.88.64 \(\int \frac {-2+5 x+7 x^2+e (x+x^2)+(3 x+21 x^2+e (x+3 x^2)) \log (x)}{(-2 x+5 x^2+7 x^3+e (x^2+x^3)) \log (x)} \, dx\)
  3.88.65 \(\int \frac {e^{e^x} (-324 e^x-360 e^{2 x}-72 e^{3 x}-4 e^{4 x})+e^{2 e^x} (-18 e^{2 x}-18 e^{3 x}-2 e^{4 x})+2187 x^2+729 e^x x^2+81 e^{2 x} x^2+3 e^{3 x} x^2}{729+243 e^x+27 e^{2 x}+e^{3 x}} \, dx\)
  3.88.66 \(\int \frac {4 e^4+e^2 (-1-8 x)+4 x^2+e^4 (e^4-2 e^2 x+x^2)}{e^4-2 e^2 x+x^2} \, dx\)
  3.88.67 \(\int \frac {5 x^3+2 x^4+e^5 (-2 x^2-x^3)+(15 x^2-3 e^5 x^2+6 x^3) \log (\frac {4}{x})+(15 x+6 x^2) \log ^2(\frac {4}{x})+(5+2 x) \log ^3(\frac {4}{x})}{x^3+3 x^2 \log (\frac {4}{x})+3 x \log ^2(\frac {4}{x})+\log ^3(\frac {4}{x})} \, dx\)
  3.88.68 \(\int (125000 x^4 \log (x)+312500 x^4 \log ^2(x)) \, dx\)
  3.88.69 \(\int (1-2 x-8 x^3-6 x^5) \, dx\)
  3.88.70 \(\int \frac {-140 x+130 x^3+20 x^4+10 x^6+(40 x-40 x^3) \log (x)+e^{e^x} (-70 x+10 x^4+e^x (-30 x^2-10 x^5)+(20 x+10 e^x x^2) \log (x))}{9+6 x^3+x^6+(-6-2 x^3) \log (x)+\log ^2(x)} \, dx\)
  3.88.71 \(\int \frac {-16+8 x-13 x^2+2 x^3+(4080-2024 x+247 x^2+5 x^3-x^4) \log ^2(\frac {-3060+753 x+3 x^2-3 x^3}{-4+x})}{-4080+2024 x-247 x^2-5 x^3+x^4+(-8160 x+4048 x^2-494 x^3-10 x^4+2 x^5) \log (\frac {-3060+753 x+3 x^2-3 x^3}{-4+x})+(-4080 x^2+2024 x^3-247 x^4-5 x^5+x^6) \log ^2(\frac {-3060+753 x+3 x^2-3 x^3}{-4+x})} \, dx\)
  3.88.72 \(\int \frac {2+e^{-50-25 e^{3 x}+5 x+e^{-50-25 e^{3 x}+5 x} x} (5 x+25 x^2-375 e^{3 x} x^2)}{5 x} \, dx\)
  3.88.73 \(\int \frac {-40-80 x+20 x^2+(-3+x) \log (2)}{80+40 x+20 x^2+x \log (2)} \, dx\)
  3.88.74 \(\int \frac {-25-10 x^2-x^4+(-20 x^2-4 x^4) \log (x) \log (\frac {1}{\log (x)})-128 x \log (x) \log ^2(\frac {1}{\log (x)})}{64 x \log (x) \log ^2(\frac {1}{\log (x)})} \, dx\)
  3.88.75 \(\int \frac {-19 x-35 x^2-2 x^3+3 x^4+(-32-32 x-6 x^2+4 x^3) \log (x)+(-4 x+x^2) \log ^2(x)}{-4 x+x^2} \, dx\)
  3.88.76 \(\int \frac {e^x x \log (x)+(2 e^{2 x} x+e^x (1+2 x^2)) \log ^2(x)+(-e^x x+e^x (x+x^2) \log (x)+(e^{2 x} (2 x+4 x^2)+e^x (x+4 x^2+2 x^3)) \log ^2(x)) \log (25 x)}{x \log ^2(x)} \, dx\)
  3.88.77 \(\int (-180-40 e^{2+2 x}-40 x+e^{1+x} (240+40 x)) \, dx\)
  3.88.78 \(\int \frac {-144 x-288 e^x x-144 x^2+(-144 x-72 x^3+e^x (-144-72 x^2)) \log (e^{2 x}+e^x x)}{(5 e^x x^5+5 x^6) \log (e^{2 x}+e^x x)+(40 e^x x^3+40 x^4) \log (e^{2 x}+e^x x) \log (x \log (e^{2 x}+e^x x))+(80 e^x x+80 x^2) \log (e^{2 x}+e^x x) \log ^2(x \log (e^{2 x}+e^x x))} \, dx\)
  3.88.79 \(\int \frac {1}{5} e^{3+\frac {1}{5} (-10+e^3 (-e^{43/16} x-x^2))} (-e^{43/16}-2 x) \, dx\)
  3.88.80 \(\int \frac {-3 x-30 x^2+9 x^3+(-10+3 x) \log (\frac {10 \log (3)}{-10+3 x})}{-10 x^3+3 x^4+(-10 x+3 x^2) \log (\frac {10 \log (3)}{-10+3 x})} \, dx\)
  3.88.81 \(\int \frac {1}{11} e^{\frac {1}{11} (44-11 e^x+11 e^{2+x}-71 x)} (-71-11 e^x+11 e^{2+x}) \, dx\)
  3.88.82 \(\int \frac {1-e^{-4+3 x-x^4}+e^{-4+3 x-x^4} (15+3 x-20 x^3-4 x^4) \log (5+x)+(5+x) \log ^2(5+x)}{(5+x) \log ^2(5+x)} \, dx\)
  3.88.83 \(\int \frac {4+e^{2+(4+4 x+x^2) \log ^2(3)} (-4 x-2 x^2) \log ^2(3)}{x} \, dx\)
  3.88.84 \(\int \frac {8+e^{-3-60 x-2 x^2} x (x^2-60 x^3-4 x^4)}{x^3} \, dx\)
  3.88.85 \(\int \frac {-4 x^2+4 x^3-2 x^5+9 x^6+6 x^7+8 x^8+(30 x-20 x^2-5 x^3) \log (4)-50 \log ^2(4)}{2 x^5} \, dx\)
  3.88.86 \(\int \frac {4 x+e^{-8 x^3-2 x^4+2 (4 x^2+x^3) \log (x)} (16 x-44 x^2-16 x^3+(32 x+12 x^2) \log (x))+e^{-4 x^3-x^4+(4 x^2+x^3) \log (x)} (4+16 x^2-44 x^3-16 x^4+(32 x^2+12 x^3) \log (x))}{(5+e^{-8 x^3-2 x^4+2 (4 x^2+x^3) \log (x)}+2 e^{-4 x^3-x^4+(4 x^2+x^3) \log (x)} x+x^2) \log (5+e^{-8 x^3-2 x^4+2 (4 x^2+x^3) \log (x)}+2 e^{-4 x^3-x^4+(4 x^2+x^3) \log (x)} x+x^2) \log (\log (5+e^{-8 x^3-2 x^4+2 (4 x^2+x^3) \log (x)}+2 e^{-4 x^3-x^4+(4 x^2+x^3) \log (x)} x+x^2))} \, dx\)
  3.88.87 \(\int \frac {-2 x^2-2 x^3-2 x^4-2 x^5+(4 x^2+6 x^3+6 x^4) \log (x)+(-4 x^2-6 x^3) \log ^2(x)+2 x^2 \log ^3(x)+(-524288 x^3+1572864 x^2 \log (x)-1572864 x \log ^2(x)+524288 \log ^3(x)) \log ^3(x^2)}{-x^4-2 x^5-x^6+(x^3+4 x^4+3 x^5) \log (x)+(-2 x^3-3 x^4) \log ^2(x)+x^3 \log ^3(x)+(-65536 x^4+196608 x^3 \log (x)-196608 x^2 \log ^2(x)+65536 x \log ^3(x)) \log ^4(x^2)} \, dx\)
  3.88.88 \(\int \frac {-6+2 e^2-2 x}{45+5 e^4+e^2 (-30-2 x)+6 x+x^2} \, dx\)
  3.88.89 \(\int \frac {e^{2 e^3 x+x \log (x)+e^{2 e^{2 e^5}} (2 e^3+\log (x))} (e^{2 e^{2 e^5}}+x+2 e^3 x+x \log (x))}{x} \, dx\)
  3.88.90 \(\int \frac {1-x+(1-2 x) \log (x)+(x+x \log (x)) \log (1+\log (x))}{x+x \log (x)} \, dx\)
  3.88.91 \(\int \frac {-243-783 x-621 x^2-189 x^3-20 x^4+e^{\frac {4}{9+6 x+x^2}} (-243-171 x-81 x^2-9 x^3)}{243 x+513 x^2+351 x^3+99 x^4+10 x^5+e^{\frac {4}{9+6 x+x^2}} (243 x+243 x^2+81 x^3+9 x^4)} \, dx\)
  3.88.92 \(\int e^{-1-x} (-9 e^{1+x}+e^{e^{-1-x} x} (1-x)) \, dx\)
  3.88.93 \(\int \frac {x \log (4)+\log ^2(4)+e^x (-x^2 \log (4)-x \log ^2(4))+(-x \log (4)+\log ^2(4)+e^x (x^3 \log (4)+x^2 \log ^2(4))) \log (\frac {x}{4})+(x \log (4)+\log ^2(4)+(x \log (4)+\log ^2(4)) \log (\frac {x}{4})) \log (x^2+2 x \log (4)+\log ^2(4))}{(x^3+x^2 \log (4)) \log ^2(\frac {x}{4})} \, dx\)
  3.88.94 \(\int \frac {-9+e^{1+x} (-1+x)+4 x^2+e^{\frac {1+x}{2}} (6-3 x-2 x^2)+5 \log ^2(2)}{2 x^2 \log ^2(2)} \, dx\)
  3.88.95 \(\int \frac {10 x}{125-75 x+15 x^2-x^3+(600 x-240 x^2+24 x^3) (i \pi +\log (\frac {e}{4}))^2+(960 x^2-192 x^3) (i \pi +\log (\frac {e}{4}))^4+512 x^3 (i \pi +\log (\frac {e}{4}))^6} \, dx\)
  3.88.96 \(\int \frac {-1+3 x^2+8 x^3+3 x^4+e^{-32-14 x-2 x^2} (-1-14 x-4 x^2)+e^{-16-7 x-x^2} (2+14 x-22 x^2-22 x^3-4 x^4)}{x^2} \, dx\)
  3.88.97 \(\int \frac {-110+8 x+21 x^2-3 x^3+e^2 (-5+5 x)+(-60+4 x+8 x^2) \log ((3+x) \log ^2(5))}{15+5 x} \, dx\)
  3.88.98 \(\int \frac {80+200 x^3+125 x^6+e^{\frac {2 (-4-5 x^3+5 x \log (x))}{4+5 x^3}} (-144+40 x-160 x^3+50 x^4+25 x^6+(-160+40 x+400 x^3-100 x^4) \log (x))}{16+40 x^3+25 x^6} \, dx\)
  3.88.99 \(\int \frac {-4 \log (2)+7 \log (2) \log (x)-22 x \log ^2(x)+(4 \log (2) \log (x)-8 x \log ^2(x)) \log (\frac {-8 x^2 \log (2)+16 x^3 \log (x)}{\log (x)})}{-\log (2) \log (x)+2 x \log ^2(x)} \, dx\)
  3.88.100 \(\int \frac {-4 \log (5) \log ^2(\frac {16}{x^2})+e^{\frac {x}{\log (\frac {16}{x^2})}} (8 x-8 x^2+(4 x-4 x^2) \log (\frac {16}{x^2})-4 \log ^2(\frac {16}{x^2}))}{3 x^2 \log ^2(\frac {16}{x^2})} \, dx\)