3.15 Integrals 1401 to 1500

  3.15.1 \(\int \frac {-2 e^5 x-384 x^2-48 x^3+36 x^2 \log (x)}{3 e^5} \, dx\)
  3.15.2 \(\int e^{1-2 x+162 e^{2 x} x^2+e^{-2 x+162 e^{2 x} x^2+36 e^{2 x} x^2 \log (x)+2 e^{2 x} x^2 \log ^2(x)} x^4+36 e^{2 x} x^2 \log (x)+2 e^{2 x} x^2 \log ^2(x)} (4 x^3-2 x^4+e^{2 x} (360 x^5+324 x^6)+e^{2 x} (76 x^5+72 x^6) \log (x)+e^{2 x} (4 x^5+4 x^6) \log ^2(x)) \, dx\)
  3.15.3 \(\int \frac {315-105 x-140 x^2+(-420 x+140 x^2+140 x^3) \log (9-6 x+x^2)+(105 x^2-35 x^3) \log ^2(9-6 x+x^2)}{-3 x^4+x^5} \, dx\)
  3.15.4 \(\int \frac {-7+(-2 x-x^2) \log (2)+(1+x) \log (\log (375))}{-7-x^2 \log (2)+x \log (\log (375))} \, dx\)
  3.15.5 \(\int \frac {-1-22 x-33 x^2-4 x^3}{x+11 x^2+11 x^3+x^4+\log (2)} \, dx\)
  3.15.6 \(\int \frac {1+x+2 x^2}{x} \, dx\)
  3.15.7 \(\int \frac {e^{\frac {2 (4 x-36 x^2+(3-108 x) \log (\log (\frac {e^x}{x})))}{x+3 \log (\log (\frac {e^x}{x}))}} (18 x^2-18 x^3+(2 x^3-72 x^4) \log (\frac {e^x}{x})+(30 x^2-432 x^3) \log (\frac {e^x}{x}) \log (\log (\frac {e^x}{x}))+(18 x-648 x^2) \log (\frac {e^x}{x}) \log ^2(\log (\frac {e^x}{x})))}{x^2 \log (\frac {e^x}{x})+6 x \log (\frac {e^x}{x}) \log (\log (\frac {e^x}{x}))+9 \log (\frac {e^x}{x}) \log ^2(\log (\frac {e^x}{x}))} \, dx\)
  3.15.8 \(\int \frac {2-4 \log (x)+(4-2 x+4 x^2) \log (x) \log (\frac {\log (x)}{x^2})}{x \log (x) \log (\frac {\log (x)}{x^2})} \, dx\)
  3.15.9 \(\int \frac {(744-48 x) \log (3)}{-256-240 x-48 x^2+4 x^3+(-128-56 x+4 x^2) \log (-16+x)+(-16+x) \log ^2(-16+x)} \, dx\)
  3.15.10 \(\int \frac {-4-6 x-70 x^2+e^x x^2+23 x^3+3 x^4-x^5}{-4 x-37 x^2+15 x^3+2 x^4-x^5+e^x (4 x^2+x^3)} \, dx\)
  3.15.11 \(\int \frac {-18 e^4+36 (i \pi +\log (4))+e^{e^{\frac {x^2}{9}}+\frac {x^2}{9}} (-2 e^4 x+4 x (i \pi +\log (4)))}{9 e^{2 e^{\frac {x^2}{9}}}+36 e^{e^{\frac {x^2}{9}}} x+36 x^2} \, dx\)
  3.15.12 \(\int \frac {-16 x^8+(-32 x^7+16 x^8) \log (-1+x)+(-32 x^4+64 x^5-32 x^6) \log ^2(-1+x)+(-64 x^3+160 x^4-128 x^5+32 x^6) \log ^3(-1+x)}{(-1+5 x-10 x^2+10 x^3-5 x^4+x^5) \log ^5(-1+x)} \, dx\)
  3.15.13 \(\int \frac {(-72+120 x-56 x^2+8 x^3) \log (\frac {e^x}{x})+(36-48 x+12 x^2) \log ^2(\frac {e^x}{x})}{e^2} \, dx\)
  3.15.14 \(\int \frac {-1+x+10 x^2}{(-x-x^2-5 x^3+x \log (2)+x \log (x)) \log (-\frac {4}{-1-x-5 x^2+\log (2)+\log (x)})} \, dx\)
  3.15.15 \(\int \frac {24 x+24 x^2+e^8 (x+x^2)+e^4 (10 x+10 x^2)+e^{\frac {5 x^2-\log (1+x)}{x}} (6 x^2+5 x^3+(1+x) \log (1+x))}{x+x^2} \, dx\)
  3.15.16 \(\int e^{-40+e^{-40+8 x} (16 e^5+4 e^{45-8 x})+8 x} (e^{40-8 x}+128 e^5 x) \, dx\)
  3.15.17 \(\int \frac {1}{9} (288 x+2688 x^3+4704 x^5+(-1800 x^2-7000 x^4) \log (2)+2500 x^3 \log ^2(2)) \, dx\)
  3.15.18 \(\int \frac {e^{-x-e^{2 x} (1-x-x^2)^2} (e^x (2-2 x-2 x^2)+e^{3 x} (1-x-x^2)^2 (-6 x^2-2 x^3))}{-3 x^3+3 x^4+3 x^5} \, dx\)
  3.15.19 \(\int \frac {4 x^2+7 x^3+x^4-x \log (\log (2))+\log ^2(\log (2))}{4 x^3+4 x^4+x^5+(4 x^2+2 x^3) \log (\log (2))+x \log ^2(\log (2))} \, dx\)
  3.15.20 \(\int \frac {5 x^2+(10 x-10 x^2) \log (1-x)+(-5+5 x) \log ^2(1-x)}{(-1+x) \log ^2(1-x)} \, dx\)
  3.15.21 \(\int \frac {(-16+4 x) \log (3)}{9+(32-16 x+2 x^2) \log (3)} \, dx\)
  3.15.22 \(\int \frac {-10 x^3 \log (x) \log ^2(3 x)+e^{\frac {e^{\frac {25}{\log (3 x)}}+x^2}{x}} (x^2 \log (x) \log ^2(3 x)+e^{\frac {25}{\log (3 x)}} (-25 \log (x)-\log (x) \log ^2(3 x)))+(-e^{\frac {e^{\frac {25}{\log (3 x)}}+x^2}{x}} x \log ^2(3 x)+5 x^3 \log ^2(3 x)) \log (\frac {1}{5} (e^{\frac {e^{\frac {25}{\log (3 x)}}+x^2}{x}}-5 x^2))}{e^{\frac {e^{\frac {25}{\log (3 x)}}+x^2}{x}} x^2 \log ^2(x) \log ^2(3 x)-5 x^4 \log ^2(x) \log ^2(3 x)} \, dx\)
  3.15.23 \(\int \frac {(1-2 x^2) \log (5)}{4 x^2} \, dx\)
  3.15.24 \(\int (-1+e^x (8+e^2+x+4 x^3+x^4-\log (2))) \, dx\)
  3.15.25 \(\int \frac {e^{\frac {e^{2 x}-6 x^2+5 e^{x+x^2} x^2}{x^2}} (e^{2 x} (-2+2 x)+e^{x+x^2} (5 x^3+10 x^4))}{x^3} \, dx\)
  3.15.26 \(\int (180+110 x+(30+20 x) \log (x)) \, dx\)
  3.15.27 \(\int (7+240 e^{3 x}+192 e^{6 x}) \, dx\)
  3.15.28 \(\int \frac {-12 x^4-24 x^5+12 x^2 \log ^2(3)+e^{\frac {1}{3} (-16+x)} (-x^3+3 x^4+6 x^5+2 x^2 \log (3)+(-x-3 x^2) \log ^2(3))+(-36 x^2-48 x^3+48 x \log (3)-12 \log ^2(3)+e^{\frac {1}{3} (-16+x)} (9 x^2+12 x^3-12 x \log (3)+3 \log ^2(3))) \log (-4+e^{\frac {1}{3} (-16+x)})+(-24 x+6 e^{\frac {1}{3} (-16+x)} x) \log ^2(-4+e^{\frac {1}{3} (-16+x)})}{-12 x^4+3 e^{\frac {1}{3} (-16+x)} x^4+(-24 x^2+6 e^{\frac {1}{3} (-16+x)} x^2) \log (-4+e^{\frac {1}{3} (-16+x)})+(-12+3 e^{\frac {1}{3} (-16+x)}) \log ^2(-4+e^{\frac {1}{3} (-16+x)})} \, dx\)
  3.15.29 \(\int \frac {29+8 e^x x+(-4-e^x x) \log (x)}{-8 x+x \log (x)} \, dx\)
  3.15.30 \(\int \frac {e^{40} (841 x+348 x^2-432 x^3-80 x^4+48 x^5)}{32-128 e^{20}+128 e^{40}} \, dx\)
  3.15.31 \(\int \frac {9 x^2+2 e^3 x^2+e^{2 x} x^2+e^{\frac {2 (1-3 x+x \log (5))}{x}} x^2+6 x^3+x^4+e^x (-6 x^2-2 e^3 x^2-2 x^3)+e^{\frac {1-3 x+x \log (5)}{x}} (2 e^3-6 x^2+2 e^x x^2-2 x^3)}{9 x^2+e^{2 x} x^2+e^{\frac {2 (1-3 x+x \log (5))}{x}} x^2+6 x^3+x^4+e^x (-6 x^2-2 x^3)+e^{\frac {1-3 x+x \log (5)}{x}} (-6 x^2+2 e^x x^2-2 x^3)} \, dx\)
  3.15.32 \(\int \frac {e^{\frac {30-36 x+7 x^2-x^3+e^{16 x} (-45 x+9 x^2)}{30-6 x+x^2}} (-900+360 x-96 x^2+12 x^3-x^4+e^{16 x} (-1350-21060 x+8631 x^2-1584 x^3+144 x^4))}{900-360 x+96 x^2-12 x^3+x^4} \, dx\)
  3.15.33 \(\int e^{-1-20 x \log (2)-25 x^2 \log ^2(2)} (1-20 x \log (2)-50 x^2 \log ^2(2)) \, dx\)
  3.15.34 \(\int (41472 x^7-165888 x^7 \log (4)+248832 x^7 \log ^2(4)-165888 x^7 \log ^3(4)+41472 x^7 \log ^4(4)+(1152 x^3-2304 x^3 \log (4)+1152 x^3 \log ^2(4)) \log (5)) \, dx\)
  3.15.35 \(\int \frac {1}{4} e^{\frac {1}{4} (x+4 x^3)} (1+12 x^2) \, dx\)
  3.15.36 \(\int \frac {25 x+5 x^2+e^x (-25 x-5 x^2)+(100+15 x-10 x^2+e^x (25+10 x)+(25+10 x) \log ^2(5)) \log (4+e^x-x+\log ^2(5))+(8-2 x+12 x^2-3 x^3+e^x (2+3 x^2)+(2+3 x^2) \log ^2(5)) \log ^2(4+e^x-x+\log ^2(5))}{(4+e^x-x+\log ^2(5)) \log ^2(4+e^x-x+\log ^2(5))} \, dx\)
  3.15.37 \(\int \frac {-4-4 x}{x^2} \, dx\)
  3.15.38 \(\int e^{-3 x^2+x^3} (-1+e^{3 x^2-x^3} (1-2 x)-6 x+3 x^2+(-1+6 x^2-3 x^3) \log (x)) \, dx\)
  3.15.39 \(\int \frac {2+300 x}{-5+e^{625}+x+75 x^2} \, dx\)
  3.15.40 \(\int \frac {e^{\frac {4 x+4 x^2}{\log (4)}} (-4-8 x)+\log (4)}{2 e^{\frac {4 x+4 x^2}{\log (4)}} \log (4)+(-2 x-2 \log (2)) \log (4)} \, dx\)
  3.15.41 \(\int \frac {-288-192 x-26 x^2-616 x^3-99 x^4-4 x^5}{144 x+24 x^2+613 x^3+99 x^4+4 x^5} \, dx\)
  3.15.42 \(\int \frac {e^{10+2 e^{4-x}+10 x} (10-2 e^{4-x})+2 x \log ^2(4)+e^{5+e^{4-x}+5 x} (-2 e^{4-x} x \log (4)+(2+10 x) \log (4))}{\log ^2(4)} \, dx\)
  3.15.43 \(\int \frac {-192 x^2-48 x^3+\log (2 x) (x+(-8-2 x) \log (4+x))}{(576 x^3+144 x^4) \log (2 x)} \, dx\)
  3.15.44 \(\int \frac {e^{-4-x+\frac {e^{-3-x-\log ^2(x)}}{2+\log (\frac {3}{x})}-\log ^2(x)} (e (1-2 x)-e x \log (\frac {3}{x})+(-4 e-2 e \log (\frac {3}{x})) \log (x))}{4 x+4 x \log (\frac {3}{x})+x \log ^2(\frac {3}{x})} \, dx\)
  3.15.45 \(\int \frac {e^{\frac {-4205 x+e^{4 x} x}{4205}} (-4205-4205 x+e^{4 x} (x+4 x^2))}{4205 x^2 \log (5)} \, dx\)
  3.15.46 \(\int e^{-e^{\frac {1}{5} (2-80 x^2-10 x^3+10 x^4)}+x} (1+e^{\frac {1}{5} (2-80 x^2-10 x^3+10 x^4)} (32 x+6 x^2-8 x^3)) \, dx\)
  3.15.47 \(\int e^x (-30 x-3 x^2+4 x^3) \, dx\)
  3.15.48 \(\int \frac {2 e^{4 x} x+8 x^3+e^{2 x} (-2 x+12 x^2)+e^{x^2} (4 e^{4 x} x^2+16 e^{2 x} x^3+16 x^4)+(12 x^2+8 x^3+e^{4 x} (4+2 x)+e^{2 x} (14 x+8 x^2)+e^{x^2} (2 e^{4 x}+8 e^{2 x} x+8 x^2)) \log (\frac {3 x+2 x^2+e^{2 x} (2+x)+e^{x^2} (e^{2 x}+2 x)}{e^{2 x}+2 x})}{30 x^2+20 x^3+e^{4 x} (10+5 x)+e^{2 x} (35 x+20 x^2)+e^{x^2} (5 e^{4 x}+20 e^{2 x} x+20 x^2)} \, dx\)
  3.15.49 \(\int \frac {e^{-x^2} (-1+9 x-4 x^2-18 x^3-2 x^4+2 x^2 \log (x))}{4 x} \, dx\)
  3.15.50 \(\int \frac {e^{\frac {1-e^8 \log (e^2 (x+e x^2))}{e^8}} (-1-2 e x)}{x+e x^2} \, dx\)
  3.15.51 \(\int \frac {-80 e^{\frac {2}{5} (10-7 x)}+e^{\frac {2}{5} (10-7 x)} (-40-56 x) \log (x^2)}{5 x^3 \log ^3(x^2) \log (\log (5))} \, dx\)
  3.15.52 \(\int (-1-e^x+e^{4+e^5+x}) \, dx\)
  3.15.53 \(\int \frac {-540+36 x^2+24 x^3+108 \log (5)+(360 x-72 x \log (5)) \log (x^2)+(-60 x^2+12 x^2 \log (5)) \log ^2(x^2)}{9 x^2-6 x^3 \log (x^2)+x^4 \log ^2(x^2)} \, dx\)
  3.15.54 \(\int \frac {1}{128} e^{-x} (e^{2 e^2} x+e^{2 e^2} (2 x-x^2) \log (x)) \, dx\)
  3.15.55 \(\int \frac {-240 x-48 x^2+(240 x+48 x^2) \log (x)+((240 x+96 x^2) \log (x)+(45+18 x) \log ^2(x)) \log (\frac {16 x+3 \log (x)}{\log (x)}) \log (2 \log (\frac {16 x+3 \log (x)}{\log (x)}))}{(16 x \log (x)+3 \log ^2(x)) \log (\frac {16 x+3 \log (x)}{\log (x)})} \, dx\)
  3.15.56 \(\int \frac {e^{\frac {-x+x \log (3)-4 x \log (\frac {25+6 x+5 \log (x)}{5+x+\log (x)})}{4 \log (\frac {25+6 x+5 \log (x)}{5+x+\log (x)})}} (4 x-4 x \log (3)+(x-x \log (3)) \log (x)+(-125-55 x-6 x^2+(125+55 x+6 x^2) \log (3)+(-50-11 x+(50+11 x) \log (3)) \log (x)+(-5+5 \log (3)) \log ^2(x)) \log (\frac {25+6 x+5 \log (x)}{5+x+\log (x)})+(-500-220 x-24 x^2+(-200-44 x) \log (x)-20 \log ^2(x)) \log ^2(\frac {25+6 x+5 \log (x)}{5+x+\log (x)}))}{(500+220 x+24 x^2+(200+44 x) \log (x)+20 \log ^2(x)) \log ^2(\frac {25+6 x+5 \log (x)}{5+x+\log (x)})} \, dx\)
  3.15.57 \(\int \frac {16 x^2+6 x^3+e^x (75+90 x+27 x^2)}{-10 x^2-6 x^3+e^x (-75 x+310 x^2+453 x^3+144 x^4)} \, dx\)
  3.15.58 \(\int (1+e^{484+e^6+44 x+x^2+e^3 (44+2 x)} (44+2 e^3+2 x)) \, dx\)
  3.15.59 \(\int \frac {e^{-2 x} (e^{2 x}+6 e^{8 x} x^2+162 x^3-162 x^4+e^x (18 x^2-18 x^3))}{x^2} \, dx\)
  3.15.60 \(\int \frac {e^{-\frac {5}{x^2}+\frac {e^{-\frac {5}{x^2}} (-x^3+e^{\frac {5}{x^2}} (-e x^2+x^3+x^2 \log (5))-e^{\frac {5}{x^2}} \log ^2(x))}{x^2}} (-10 x-x^3+e^{\frac {5}{x^2}} x^3-2 e^{\frac {5}{x^2}} \log (x)+2 e^{\frac {5}{x^2}} \log ^2(x))}{4 x^3} \, dx\)
  3.15.61 \(\int \frac {e^{\frac {x^2+2 e^3 x^4+e^{10-4 x} x^4+e^6 x^6+e^{2-2 x} (2 e^3 x^3+2 e^6 x^5)}{e^{4-4 x}+2 e^{2-2 x} x+x^2}} (4 e^{12-6 x} x^3+4 e^3 x^4+4 e^6 x^6+e^{4-4 x} (12 e^6 x^4+e^3 (6 x^2+4 x^3))+e^{2-2 x} (2 x+4 x^2+12 e^6 x^5+e^3 (10 x^3+4 x^4)))}{-4 e^{6-6 x}-12 e^{4-4 x} x-12 e^{2-2 x} x^2-4 x^3+e^{\frac {x^2+2 e^3 x^4+e^{10-4 x} x^4+e^6 x^6+e^{2-2 x} (2 e^3 x^3+2 e^6 x^5)}{e^{4-4 x}+2 e^{2-2 x} x+x^2}} (e^{6-6 x}+3 e^{4-4 x} x+3 e^{2-2 x} x^2+x^3)} \, dx\)
  3.15.62 \(\int \frac {e^{3+x-e^{\frac {1+(4+x) \log (x)}{\log (x)}} x} (\log ^2(x)+e^{\frac {1+(4+x) \log (x)}{\log (x)}} (1+(-1-x) \log ^2(x)))}{\log (5) \log ^2(x)} \, dx\)
  3.15.63 \(\int \frac {6 \log (x)+6 \log (-x^2)}{x} \, dx\)
  3.15.64 \(\int \frac {25 x^2+20 x^3+e^{4 x} (25+20 x)+e^{2 x} (-50 x-40 x^2)+e^{e^{\frac {2}{e^{2 x}-x}}} (5 e^{4 x}-10 e^{2 x} x+5 x^2+e^{\frac {2}{e^{2 x}-x}} (10 x-20 e^{2 x} x))+(5 e^{4 x}-10 e^{2 x} x+5 x^2) \log (x)}{e^{4 x}-2 e^{2 x} x+x^2} \, dx\)
  3.15.65 \(\int \frac {-\frac {3}{5} e^{2 x} \log (x)+(\frac {e^{2 x}}{5}+\frac {2}{5} e^{2 x} x \log (x)) \log (x^3)}{5 x \log ^2(x^3)} \, dx\)
  3.15.66 \(\int \frac {-25-5 e^4+2 x}{-135+5 e^{e^4}} \, dx\)
  3.15.67 \(\int \frac {e^{-3-x} (e^{2 x} (x^2+x^3)+e^{2+x} (3 e+2 e^{2 x} x^2 \log (5)))}{x^2} \, dx\)
  3.15.68 \(\int \frac {1}{5} (6-5 e^{-1+e^{-1-x}-x}-e^x-2 e^{2 x}) \, dx\)
  3.15.69 \(\int \frac {e^{x^2} (-4+2 x-e^x \log (3)+(-e^5+x) \log (3)) (-2+8 x-4 x^2+e^x (1+2 x) \log (3)+(-1+2 e^5 x-2 x^2) \log (3))}{4-2 x+e^x \log (3)+(e^5-x) \log (3)} \, dx\)
  3.15.70 \(\int \frac {(-60-64 x) \log (\frac {9}{144+360 x+417 x^2+240 x^3+64 x^4})}{12+15 x+8 x^2} \, dx\)
  3.15.71 \(\int \frac {16-76 x-52 x^2+22 x^4+8 x^5+(-40 x-26 x^2-4 x^3+10 x^4+4 x^5) \log (\frac {4+x-x^3}{x})+(-8 x-2 x^2+2 x^4+(-4 x-x^2+x^4) \log (\frac {4+x-x^3}{x})) \log (2+\log (\frac {4+x-x^3}{x}))}{-8 x-2 x^2+2 x^4+(-4 x-x^2+x^4) \log (\frac {4+x-x^3}{x})} \, dx\)
  3.15.72 \(\int \frac {48-336 x-16 x^2+80 x^3-64 x^4+(288-64 x^2+128 x^3) \log (5 x)-64 x^2 \log ^2(5 x)}{225 x^9-450 x^8 \log (5 x)+225 x^7 \log ^2(5 x)} \, dx\)
  3.15.73 \(\int \frac {225-30 x+x^2+(-30 x+2 x^2) \log (5)+(-30 x+2 x^2) \log (x)+5 \log (25-9 \log (5)+\log ^2(5))}{x} \, dx\)
  3.15.74 \(\int \frac {1}{5} (10+e^{e^{1+e^{\frac {e x^2}{5}}}-x} (5-2 e^{2+e^{\frac {e x^2}{5}}+\frac {e x^2}{5}} x)) \, dx\)
  3.15.75 \(\int \frac {400+388 x+75 x^2+2 x^3+(-160-156 x-28 x^2) \log (\frac {4}{4+x})+(16+16 x+3 x^2) \log ^2(\frac {4}{4+x})}{(200 x+158 x^2+31 x^3+x^4+(-80 x-60 x^2-10 x^3) \log (\frac {4}{4+x})+(8 x+6 x^2+x^3) \log ^2(\frac {4}{4+x})) \log ^2(\frac {25+x-10 \log (\frac {4}{4+x})+\log ^2(\frac {4}{4+x})}{4 x^2+2 x^3})} \, dx\)
  3.15.76 \(\int e^{-8 x} (576 x^8-352 x^9-128 x^{10}+e^x (144 x^8-112 x^9)+e^{3 x} (-1792 x^6+1280 x^7+(448 x^6-320 x^7) \log (3))+e^{2 x} (-7168 x^6+4096 x^7+1536 x^8+(1792 x^6-1024 x^7-384 x^8) \log (3))+e^{5 x} (7680 x^4-4608 x^5+(-3840 x^4+2304 x^5) \log (3)+(480 x^4-288 x^5) \log ^2(3))+e^{4 x} (30720 x^4-15360 x^5-6144 x^6+(-15360 x^4+7680 x^5+3072 x^6) \log (3)+(1920 x^4-960 x^5-384 x^6) \log ^2(3))+e^{7 x} (-12288 x^2+4096 x^3+(9216 x^2-3072 x^3) \log (3)+(-2304 x^2+768 x^3) \log ^2(3)+(192 x^2-64 x^3) \log ^3(3))+e^{6 x} (-49152 x^2+16384 x^3+8192 x^4+(36864 x^2-12288 x^3-6144 x^4) \log (3)+(-9216 x^2+3072 x^3+1536 x^4) \log ^2(3)+(768 x^2-256 x^3-128 x^4) \log ^3(3))+e^{9 x} (4096+4096 x+(-4096-4096 x) \log (3)+(1536+1536 x) \log ^2(3)+(-256-256 x) \log ^3(3)+(16+16 x) \log ^4(3))+e^{8 x} (16384+8192 x+(-16384-8192 x) \log (3)+(6144+3072 x) \log ^2(3)+(-1024-512 x) \log ^3(3)+(64+32 x) \log ^4(3))) \, dx\)
  3.15.77 \(\int \frac {x^3+e^{\frac {4-e^{1+e^{2 e^5}+4 x+4 x^2+e^{e^5} (2+4 x)}+3 x^2+x^3}{x^2}} (-8+x^3+e^{1+e^{2 e^5}+4 x+4 x^2+e^{e^5} (2+4 x)} (2-4 x-4 e^{e^5} x-8 x^2))}{x^3} \, dx\)
  3.15.78 \(\int \frac {30 x-6 e^4 x+6 x^2+9 x^4+(-25+5 e^4-30 x^3) \log (4)+25 x^2 \log ^2(4)}{9 x^4-30 x^3 \log (4)+25 x^2 \log ^2(4)} \, dx\)
  3.15.79 \(\int \frac {1}{4} e^{\frac {1}{4} (x-4 \log (\frac {-5+e^2}{e^2}))} \, dx\)
  3.15.80 \(\int \frac {e^{\frac {-20+4 e^4+e^{e^x} (4-e^x)+3 x-4 x^2+e^x (5-e^4-x+x^2)}{-5+e^4+e^{e^x}+x-x^2}} (5-e^4-e^{2 e^x+x}-x^2+e^x (-25-e^8+10 x-11 x^2+2 x^3-x^4+e^4 (10-2 x+2 x^2))+e^{e^x} (-1+e^x (10-2 e^4-x+2 x^2)))}{25+e^8+e^{2 e^x}-10 x+11 x^2-2 x^3+x^4+e^4 (-10+2 x-2 x^2)+e^{e^x} (-10+2 e^4+2 x-2 x^2)} \, dx\)
  3.15.81 \(\int (2 x+e^{4 x+4 x^2+4 e^x x^2+4 (x+e^x x) \log ^2(x)} (4+8 x+e^x (8 x+4 x^2)+(8+8 e^x) \log (x)+(4+e^x (4+4 x)) \log ^2(x))+e^{2 x+2 x^2+2 e^x x^2+2 (x+e^x x) \log ^2(x)} (-2-4 x-8 x^2+e^x (-8 x^2-4 x^3)+(-8 x-8 e^x x) \log (x)+(-4 x+e^x (-4 x-4 x^2)) \log ^2(x))) \, dx\)
  3.15.82 \(\int \frac {-20-91 x+x^2+8 x^3+(5+18 x-6 x^2) \log (x)}{25 x+50 x^2-x^3-2 x^4+(-5 x-9 x^2+2 x^3) \log (x)} \, dx\)
  3.15.83 \(\int \frac {e^{1+x+e^x x+e^{\frac {2 x}{5+x}} x-3 x^2} (25-140 x-59 x^2-6 x^3+e^{\frac {2 x}{5+x}} (25+20 x+x^2)+e^x (25+35 x+11 x^2+x^3))}{25+10 x+x^2} \, dx\)
  3.15.84 \(\int \frac {e^x (5+x) \log (3)}{2 \log (\log (2))} \, dx\)
  3.15.85 \(\int \frac {-64+10368 \log (4)-629856 \log ^2(4)+17006112 \log ^3(4)-172186884 \log ^4(4)}{x \log ^4(4)-4 x \log ^4(4) \log (x)+4 x \log ^4(4) \log ^2(x)} \, dx\)
  3.15.86 \(\int \frac {e^{\frac {10-2 e^{e^{\frac {-2+5 x+4 x^2}{x}}}-\log (x^2)}{-5+e^{e^{\frac {-2+5 x+4 x^2}{x}}}}} (-15 x-e^{2 e^{\frac {-2+5 x+4 x^2}{x}}} x+e^{e^{\frac {-2+5 x+4 x^2}{x}}} (8 x+e^{\frac {-2+5 x+4 x^2}{x}} (2+4 x^2) \log (x^2)))}{25 x^3-10 e^{e^{\frac {-2+5 x+4 x^2}{x}}} x^3+e^{2 e^{\frac {-2+5 x+4 x^2}{x}}} x^3} \, dx\)
  3.15.87 \(\int \frac {-252+180 x+e^{2 x} (-50+150 x-150 x^2+50 x^3)+e^x (-270+630 x-510 x^2+150 x^3)}{-25+75 x-75 x^2+25 x^3} \, dx\)
  3.15.88 \(\int \frac {e^{e^{\frac {2 e^2+(-4-x) \log (5)}{\log (5)}}} (-3-e^{\frac {2 e^2+(-4-x) \log (5)}{\log (5)}} x)}{x^4} \, dx\)
  3.15.89 \(\int (1-4 x^3+e^{4 x} (-18 x^2-48 x^3-54 x^4-24 x^5)+e^{8 x} (-18 x-126 x^2-252 x^3-306 x^4-198 x^5-72 x^6)) \, dx\)
  3.15.90 \(\int \frac {-9+250 x+54 x^2+3 x^3+e^x (8 x+x^2)+x \log (x)}{243 x+54 x^2+3 x^3} \, dx\)
  3.15.91 \(\int \frac {48+12 x-48 x^2-9 x^3-9 x^4+e^{-4+x} (-24-24 x+6 x^2-12 x^3-6 x^4)+(-48+24 x+60 x^2+18 x^3+e^{-4+x} (24+48 x+30 x^2+6 x^3)) \log (x)}{64 x^2-32 x^3-44 x^4+12 x^5+9 x^6+e^{-8+2 x} (16 x^2+16 x^3+4 x^4)+e^{-4+x} (-64 x^2-16 x^3+32 x^4+12 x^5)} \, dx\)
  3.15.92 \(\int \frac {e^3 (160-40 x^4)+e^6 (-48 x+13 x^3+4 x^5+e^2 (-32+8 x^4))}{25 x^3+e^3 (-10 e^2 x^3-10 x^4)+e^6 (e^4 x^3+2 e^2 x^4+x^5)} \, dx\)
  3.15.93 \(\int \frac {(30 x^2+60 x^3) \log (e^4+x+x^2)+(30 e^4 x+30 x^2+30 x^3) \log ^2(e^4+x+x^2)}{e^4+x+x^2} \, dx\)
  3.15.94 \(\int \frac {-3+24 x+4 x^2}{3 x} \, dx\)
  3.15.95 \(\int \frac {1}{8} (x+12 x^3-20 x^4+27 x^5-84 x^6+64 x^7+(8 x-12 x^2+48 x^3-140 x^4+96 x^5) \log (2)+(16 x-48 x^2+32 x^3) \log ^2(2)) \, dx\)
  3.15.96 \(\int \frac {e^{-x} (4 e^x+e^{e^{e^{-1+x}}} (4 x+e^{e^{-1+x}} (-4 e^{-1+x} x+4 e^{-1+2 x} x)))}{x} \, dx\)
  3.15.97 \(\int \frac {1}{3} (-1+e^x (-12-12 x)+6 x) \, dx\)
  3.15.98 \(\int \frac {-40 e^x+8 e^{2 x}+e^{\frac {x^2}{8}} x+e^{\frac {x^2}{16}} (e^x (-8-x)+5 x)}{100-40 e^x+4 e^{2 x}+4 e^{\frac {x^2}{8}}+e^{\frac {x^2}{16}} (40-8 e^x)+4 \log (4)} \, dx\)
  3.15.99 \(\int \frac {e^{-\frac {3}{27+4 \log (x)}} (741+216 \log (x)+16 \log ^2(x))}{729+216 \log (x)+16 \log ^2(x)} \, dx\)
  3.15.100 \(\int \frac {-1-25 x+18 x^2-3 x^3}{x} \, dx\)