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