3.1.1 \(\int (d+e x^3)^5 (a+b x^3+c x^6) \, dx\)
  3.1.2 \(\int (d+e x^3)^4 (a+b x^3+c x^6) \, dx\)
  3.1.3 \(\int (d+e x^3)^3 (a+b x^3+c x^6) \, dx\)
  3.1.4 \(\int (d+e x^3)^2 (a+b x^3+c x^6) \, dx\)
  3.1.5 \(\int (d+e x^3) (a+b x^3+c x^6) \, dx\)
  3.1.6 \(\int \frac {a+b x^3+c x^6}{d+e x^3} \, dx\)
  3.1.7 \(\int \frac {a+b x^3+c x^6}{(d+e x^3)^2} \, dx\)
  3.1.8 \(\int \frac {a+b x^3+c x^6}{(d+e x^3)^3} \, dx\)
  3.1.9 \(\int \frac {x^8 (d+e x^3)}{a+b x^3+c x^6} \, dx\)
  3.1.10 \(\int \frac {x^5 (d+e x^3)}{a+b x^3+c x^6} \, dx\)
  3.1.11 \(\int \frac {x^2 (d+e x^3)}{a+b x^3+c x^6} \, dx\)
  3.1.12 \(\int \frac {d+e x^3}{x (a+b x^3+c x^6)} \, dx\)
  3.1.13 \(\int \frac {d+e x^3}{x^4 (a+b x^3+c x^6)} \, dx\)
  3.1.14 \(\int \frac {x^4 (d+e x^3)}{a+b x^3+c x^6} \, dx\)
  3.1.15 \(\int \frac {x^3 (d+e x^3)}{a+b x^3+c x^6} \, dx\)
  3.1.16 \(\int \frac {x (d+e x^3)}{a+b x^3+c x^6} \, dx\)
  3.1.17 \(\int \frac {d+e x^3}{a+b x^3+c x^6} \, dx\)
  3.1.18 \(\int \frac {d+e x^3}{x^2 (a+b x^3+c x^6)} \, dx\)
  3.1.19 \(\int \frac {d+e x^3}{x^3 (a+b x^3+c x^6)} \, dx\)
  3.1.20 \(\int \frac {x^8 (1-x^3)}{1-x^3+x^6} \, dx\)
  3.1.21 \(\int \frac {x^5 (1-x^3)}{1-x^3+x^6} \, dx\)
  3.1.22 \(\int \frac {x^2 (1-x^3)}{1-x^3+x^6} \, dx\)
  3.1.23 \(\int \frac {1-x^3}{x (1-x^3+x^6)} \, dx\)
  3.1.24 \(\int \frac {1-x^3}{x^4 (1-x^3+x^6)} \, dx\)
  3.1.25 \(\int \frac {x^6 (1-x^3)}{1-x^3+x^6} \, dx\)
  3.1.26 \(\int \frac {x^4 (1-x^3)}{1-x^3+x^6} \, dx\)
  3.1.27 \(\int \frac {x^3 (1-x^3)}{1-x^3+x^6} \, dx\)
  3.1.28 \(\int \frac {x (1-x^3)}{1-x^3+x^6} \, dx\)
  3.1.29 \(\int \frac {1-x^3}{1-x^3+x^6} \, dx\)
  3.1.30 \(\int \frac {1-x^3}{x^2 (1-x^3+x^6)} \, dx\)
  3.1.31 \(\int \frac {1-x^3}{x^3 (1-x^3+x^6)} \, dx\)
  3.1.32 \(\int \frac {x^2 (-2+x^3)}{1-x^3+x^6} \, dx\)
  3.1.33 \(\int \frac {1+x^3}{x (1-x^3+x^6)} \, dx\)
  3.1.34 \(\int \frac {1+x^3}{x-x^4+x^7} \, dx\)
  3.1.35 \(\int \frac {x^4 (d+e x^4)}{a+b x^4+c x^8} \, dx\)
  3.1.36 \(\int \frac {x^3 (d+e x^4)}{a+b x^4+c x^8} \, dx\)
  3.1.37 \(\int \frac {x^2 (d+e x^4)}{a+b x^4+c x^8} \, dx\)
  3.1.38 \(\int \frac {x (d+e x^4)}{a+b x^4+c x^8} \, dx\)
  3.1.39 \(\int \frac {d+e x^4}{a+b x^4+c x^8} \, dx\)
  3.1.40 \(\int \frac {d+e x^4}{x (a+b x^4+c x^8)} \, dx\)
  3.1.41 \(\int \frac {d+e x^4}{x^2 (a+b x^4+c x^8)} \, dx\)
  3.1.42 \(\int \frac {d+e x^4}{x^3 (a+b x^4+c x^8)} \, dx\)
  3.1.43 \(\int \frac {d+e x^4}{x^4 (a+b x^4+c x^8)} \, dx\)
  3.1.44 \(\int \frac {x^4 (1-x^4)}{1-x^4+x^8} \, dx\)
  3.1.45 \(\int \frac {x^3 (1-x^4)}{1-x^4+x^8} \, dx\)
  3.1.46 \(\int \frac {x^2 (1-x^4)}{1-x^4+x^8} \, dx\)
  3.1.47 \(\int \frac {x (1-x^4)}{1-x^4+x^8} \, dx\)
  3.1.48 \(\int \frac {1-x^4}{1-x^4+x^8} \, dx\)
  3.1.49 \(\int \frac {1-x^4}{x (1-x^4+x^8)} \, dx\)
  3.1.50 \(\int \frac {1-x^4}{x^2 (1-x^4+x^8)} \, dx\)
  3.1.51 \(\int \frac {1-x^4}{x^3 (1-x^4+x^8)} \, dx\)
  3.1.52 \(\int \frac {1-x^4}{x^4 (1-x^4+x^8)} \, dx\)
  3.1.53 \(\int \frac {x^3}{(a+\frac {c}{x^2}+\frac {b}{x}) (d+e x)} \, dx\)
  3.1.54 \(\int \frac {x^2}{(a+\frac {c}{x^2}+\frac {b}{x}) (d+e x)} \, dx\)
  3.1.55 \(\int \frac {x}{(a+\frac {c}{x^2}+\frac {b}{x}) (d+e x)} \, dx\)
  3.1.56 \(\int \frac {1}{(a+\frac {c}{x^2}+\frac {b}{x}) (d+e x)} \, dx\)
  3.1.57 \(\int \frac {1}{(a+\frac {c}{x^2}+\frac {b}{x}) x (d+e x)} \, dx\)
  3.1.58 \(\int \frac {1}{(a+\frac {c}{x^2}+\frac {b}{x}) x^2 (d+e x)} \, dx\)
  3.1.59 \(\int \frac {1}{(a+\frac {c}{x^2}+\frac {b}{x}) x^3 (d+e x)} \, dx\)
  3.1.60 \(\int \frac {1}{(a+\frac {c}{x^2}+\frac {b}{x}) x^4 (d+e x)} \, dx\)
  3.1.61 \(\int \frac {1}{(a+\frac {c}{x^2}+\frac {b}{x}) x^5 (d+e x)} \, dx\)
  3.1.62 \(\int \frac {x^3}{(a+\frac {c}{x^2}+\frac {b}{x}) (d+e x)^2} \, dx\)
  3.1.63 \(\int \frac {x^2}{(a+\frac {c}{x^2}+\frac {b}{x}) (d+e x)^2} \, dx\)
  3.1.64 \(\int \frac {x}{(a+\frac {c}{x^2}+\frac {b}{x}) (d+e x)^2} \, dx\)
  3.1.65 \(\int \frac {1}{(a+\frac {c}{x^2}+\frac {b}{x}) (d+e x)^2} \, dx\)
  3.1.66 \(\int \frac {1}{(a+\frac {c}{x^2}+\frac {b}{x}) x (d+e x)^2} \, dx\)
  3.1.67 \(\int \frac {1}{(a+\frac {c}{x^2}+\frac {b}{x}) x^2 (d+e x)^2} \, dx\)
  3.1.68 \(\int \frac {1}{(a+\frac {c}{x^2}+\frac {b}{x}) x^3 (d+e x)^2} \, dx\)
  3.1.69 \(\int \frac {1}{(a+\frac {c}{x^2}+\frac {b}{x}) x^4 (d+e x)^2} \, dx\)
  3.1.70 \(\int \frac {1}{(a+\frac {c}{x^2}+\frac {b}{x}) x^5 (d+e x)^2} \, dx\)
  3.1.71 \(\int (b+2 c x) (a+b x+c x^2)^{13} \, dx\)
  3.1.72 \(\int x (b+2 c x^2) (a+b x^2+c x^4)^{13} \, dx\)
  3.1.73 \(\int x^2 (b+2 c x^3) (a+b x^3+c x^6)^{13} \, dx\)
  3.1.74 \(\int x^{-1+n} (b+2 c x^n) (a+b x^n+c x^{2 n})^{13} \, dx\)
  3.1.75 \(\int (b+2 c x) (-a+b x+c x^2)^{13} \, dx\)
  3.1.76 \(\int x (b+2 c x^2) (-a+b x^2+c x^4)^{13} \, dx\)
  3.1.77 \(\int x^2 (b+2 c x^3) (-a+b x^3+c x^6)^{13} \, dx\)
  3.1.78 \(\int x^{-1+n} (b+2 c x^n) (-a+b x^n+c x^{2 n})^{13} \, dx\)
  3.1.79 \(\int (b+2 c x) (b x+c x^2)^{13} \, dx\)
  3.1.80 \(\int x (b+2 c x^2) (b x^2+c x^4)^{13} \, dx\)
  3.1.81 \(\int x^2 (b+2 c x^3) (b x^3+c x^6)^{13} \, dx\)
  3.1.82 \(\int x^{-1+n} (b+2 c x^n) (b x^n+c x^{2 n})^{13} \, dx\)
  3.1.83 \(\int \frac {b+2 c x}{a+b x+c x^2} \, dx\)
  3.1.84 \(\int \frac {x (b+2 c x^2)}{a+b x^2+c x^4} \, dx\)
  3.1.85 \(\int \frac {x^2 (b+2 c x^3)}{a+b x^3+c x^6} \, dx\)
  3.1.86 \(\int \frac {x^{-1+n} (b+2 c x^n)}{a+b x^n+c x^{2 n}} \, dx\)
  3.1.87 \(\int \frac {b+2 c x}{(a+b x+c x^2)^8} \, dx\)
  3.1.88 \(\int \frac {x (b+2 c x^2)}{(a+b x^2+c x^4)^8} \, dx\)
  3.1.89 \(\int \frac {x^2 (b+2 c x^3)}{(a+b x^3+c x^6)^8} \, dx\)
  3.1.90 \(\int \frac {x^{-1+n} (b+2 c x^n)}{(a+b x^n+c x^{2 n})^8} \, dx\)
  3.1.91 \(\int \frac {b+2 c x}{-a+b x+c x^2} \, dx\)
  3.1.92 \(\int \frac {x (b+2 c x^2)}{-a+b x^2+c x^4} \, dx\)
  3.1.93 \(\int \frac {x^2 (b+2 c x^3)}{-a+b x^3+c x^6} \, dx\)
  3.1.94 \(\int \frac {x^{-1+n} (b+2 c x^n)}{-a+b x^n+c x^{2 n}} \, dx\)
  3.1.95 \(\int \frac {b+2 c x}{(-a+b x+c x^2)^8} \, dx\)
  3.1.96 \(\int \frac {x (b+2 c x^2)}{(-a+b x^2+c x^4)^8} \, dx\)
  3.1.97 \(\int \frac {x^2 (b+2 c x^3)}{(-a+b x^3+c x^6)^8} \, dx\)
  3.1.98 \(\int \frac {x^{-1+n} (b+2 c x^n)}{(-a+b x^n+c x^{2 n})^8} \, dx\)
  3.1.99 \(\int \frac {b+2 c x}{b x+c x^2} \, dx\)
  3.1.100 \(\int \frac {x (b+2 c x^2)}{b x^2+c x^4} \, dx\)