3.1.1 \(\int \frac {(a+b x)^3 (A+B x+C x^2+D x^3)}{\sqrt {c+d x}} \, dx\)
  3.1.2 \(\int \frac {(a+b x)^2 (A+B x+C x^2+D x^3)}{\sqrt {c+d x}} \, dx\)
  3.1.3 \(\int \frac {(a+b x) (A+B x+C x^2+D x^3)}{\sqrt {c+d x}} \, dx\)
  3.1.4 \(\int \frac {A+B x+C x^2+D x^3}{\sqrt {c+d x}} \, dx\)
  3.1.5 \(\int \frac {A+B x+C x^2+D x^3}{(a+b x) \sqrt {c+d x}} \, dx\)
  3.1.6 \(\int \frac {A+B x+C x^2+D x^3}{(a+b x)^2 \sqrt {c+d x}} \, dx\)
  3.1.7 \(\int \frac {A+B x+C x^2+D x^3}{(a+b x)^3 \sqrt {c+d x}} \, dx\)
  3.1.8 \(\int \frac {A+B x+C x^2+D x^3}{(a+b x)^4 \sqrt {c+d x}} \, dx\)
  3.1.9 \(\int \frac {A+B x+C x^2+D x^3}{(a+b x)^5 \sqrt {c+d x}} \, dx\)
  3.1.10 \(\int \frac {(a+b x)^3 (A+B x+C x^2+D x^3)}{(c+d x)^{3/2}} \, dx\)
  3.1.11 \(\int \frac {(a+b x)^2 (A+B x+C x^2+D x^3)}{(c+d x)^{3/2}} \, dx\)
  3.1.12 \(\int \frac {(a+b x) (A+B x+C x^2+D x^3)}{(c+d x)^{3/2}} \, dx\)
  3.1.13 \(\int \frac {A+B x+C x^2+D x^3}{(c+d x)^{3/2}} \, dx\)
  3.1.14 \(\int \frac {A+B x+C x^2+D x^3}{(a+b x) (c+d x)^{3/2}} \, dx\)
  3.1.15 \(\int \frac {A+B x+C x^2+D x^3}{(a+b x)^2 (c+d x)^{3/2}} \, dx\)
  3.1.16 \(\int \frac {A+B x+C x^2+D x^3}{(a+b x)^3 (c+d x)^{3/2}} \, dx\)
  3.1.17 \(\int \frac {A+B x+C x^2+D x^3}{(a+b x)^4 (c+d x)^{3/2}} \, dx\)
  3.1.18 \(\int \frac {(a+b x)^3 (A+B x+C x^2+D x^3)}{(c+d x)^{5/2}} \, dx\)
  3.1.19 \(\int \frac {(a+b x)^2 (A+B x+C x^2+D x^3)}{(c+d x)^{5/2}} \, dx\)
  3.1.20 \(\int \frac {(a+b x) (A+B x+C x^2+D x^3)}{(c+d x)^{5/2}} \, dx\)
  3.1.21 \(\int \frac {A+B x+C x^2+D x^3}{(c+d x)^{5/2}} \, dx\)
  3.1.22 \(\int \frac {A+B x+C x^2+D x^3}{(a+b x) (c+d x)^{5/2}} \, dx\)
  3.1.23 \(\int \frac {A+B x+C x^2+D x^3}{(a+b x)^2 (c+d x)^{5/2}} \, dx\)
  3.1.24 \(\int \frac {A+B x+C x^2+D x^3}{(a+b x)^3 (c+d x)^{5/2}} \, dx\)
  3.1.25 \(\int (a+b x)^3 (c+d x)^n (A+B x+C x^2+D x^3) \, dx\)
  3.1.26 \(\int (a+b x)^2 (c+d x)^n (A+B x+C x^2+D x^3) \, dx\)
  3.1.27 \(\int (a+b x) (c+d x)^n (A+B x+C x^2+D x^3) \, dx\)
  3.1.28 \(\int (c+d x)^n (A+B x+C x^2+D x^3) \, dx\)