3.2.1 \(\int \frac {1}{x^3 \sqrt {a+b x+c x^2} (d-f x^2)} \, dx\)
  3.2.2 \(\int \frac {x^4}{(a+b x+c x^2)^{3/2} (d-f x^2)} \, dx\)
  3.2.3 \(\int \frac {x^3}{(a+b x+c x^2)^{3/2} (d-f x^2)} \, dx\)
  3.2.4 \(\int \frac {x^2}{(a+b x+c x^2)^{3/2} (d-f x^2)} \, dx\)
  3.2.5 \(\int \frac {x}{(a+b x+c x^2)^{3/2} (d-f x^2)} \, dx\)
  3.2.6 \(\int \frac {1}{(a+b x+c x^2)^{3/2} (d-f x^2)} \, dx\)
  3.2.7 \(\int \frac {1}{x (a+b x+c x^2)^{3/2} (d-f x^2)} \, dx\)
  3.2.8 \(\int \frac {1}{x^2 (a+b x+c x^2)^{3/2} (d-f x^2)} \, dx\)
  3.2.9 \(\int \frac {x^2 \sqrt {a+b x+c x^2}}{d+e x+f x^2} \, dx\)
  3.2.10 \(\int \frac {x \sqrt {a+b x+c x^2}}{d+e x+f x^2} \, dx\)
  3.2.11 \(\int \frac {\sqrt {a+b x+c x^2}}{d+e x+f x^2} \, dx\)
  3.2.12 \(\int \frac {\sqrt {a+b x+c x^2}}{x (d+e x+f x^2)} \, dx\)
  3.2.13 \(\int \frac {\sqrt {a+b x+c x^2}}{x^2 (d+e x+f x^2)} \, dx\)
  3.2.14 \(\int \frac {x^3}{\sqrt {a+b x+c x^2} (d+e x+f x^2)} \, dx\)
  3.2.15 \(\int \frac {x^2}{\sqrt {a+b x+c x^2} (d+e x+f x^2)} \, dx\)
  3.2.16 \(\int \frac {x}{\sqrt {a+b x+c x^2} (d+e x+f x^2)} \, dx\)
  3.2.17 \(\int \frac {1}{\sqrt {a+b x+c x^2} (d+e x+f x^2)} \, dx\)
  3.2.18 \(\int \frac {1}{x \sqrt {a+b x+c x^2} (d+e x+f x^2)} \, dx\)
  3.2.19 \(\int \frac {1}{x^2 \sqrt {a+b x+c x^2} (d+e x+f x^2)} \, dx\)
  3.2.20 \(\int \frac {1}{x^3 \sqrt {a+b x+c x^2} (d+e x+f x^2)} \, dx\)
  3.2.21 \(\int \frac {x^3}{(a+b x+c x^2)^{3/2} (d+e x+f x^2)} \, dx\)
  3.2.22 \(\int \frac {x^2}{(a+b x+c x^2)^{3/2} (d+e x+f x^2)} \, dx\)
  3.2.23 \(\int \frac {x}{(a+b x+c x^2)^{3/2} (d+e x+f x^2)} \, dx\)
  3.2.24 \(\int \frac {1}{(a+b x+c x^2)^{3/2} (d+e x+f x^2)} \, dx\)
  3.2.25 \(\int \frac {1}{x (a+b x+c x^2)^{3/2} (d+e x+f x^2)} \, dx\)
  3.2.26 \(\int \frac {x^4}{\sqrt {-3-4 x-x^2} (3+4 x+2 x^2)} \, dx\)
  3.2.27 \(\int \frac {x^3}{\sqrt {-3-4 x-x^2} (3+4 x+2 x^2)} \, dx\)
  3.2.28 \(\int \frac {x^2}{\sqrt {-3-4 x-x^2} (3+4 x+2 x^2)} \, dx\)
  3.2.29 \(\int \frac {x}{\sqrt {-3-4 x-x^2} (3+4 x+2 x^2)} \, dx\)
  3.2.30 \(\int \frac {1}{\sqrt {-3-4 x-x^2} (3+4 x+2 x^2)} \, dx\)
  3.2.31 \(\int \frac {1}{x \sqrt {-3-4 x-x^2} (3+4 x+2 x^2)} \, dx\)
  3.2.32 \(\int \frac {1}{x^2 \sqrt {-3-4 x-x^2} (3+4 x+2 x^2)} \, dx\)
  3.2.33 \(\int (2+3 x)^2 (30+31 x-12 x^2)^2 \sqrt {6+17 x+12 x^2} \, dx\)
  3.2.34 \(\int (2+3 x) (30+31 x-12 x^2) \sqrt {6+17 x+12 x^2} \, dx\)
  3.2.35 \(\int \frac {\sqrt {6+17 x+12 x^2}}{(2+3 x) (30+31 x-12 x^2)} \, dx\)
  3.2.36 \(\int \frac {\sqrt {6+17 x+12 x^2}}{(2+3 x)^2 (30+31 x-12 x^2)^2} \, dx\)
  3.2.37 \(\int \frac {\sqrt {6+17 x+12 x^2}}{(2+3 x)^3 (30+31 x-12 x^2)^3} \, dx\)
  3.2.38 \(\int (-3+2 x) (-3 x+x^2)^{2/3} \, dx\)
  3.2.39 \(\int ((-3+x) x)^{2/3} (-3+2 x) \, dx\)
  3.2.40 \(\int \frac {x (9-9 x+2 x^2)}{\sqrt [3]{-3 x+x^2}} \, dx\)
  3.2.41 \(\int \frac {x (9-9 x+2 x^2)}{\sqrt [3]{(-3+x) x}} \, dx\)
  3.2.42 \(\int \frac {g+h x}{\sqrt [3]{-\frac {c g^2}{h^2}+9 c x^2} (g^2+3 h^2 x^2)} \, dx\)
  3.2.43 \(\int \frac {g+h x}{\sqrt [3]{\frac {-c^2 g^2+b c g h+2 b^2 h^2}{9 c h^2}+b x+c x^2} (\frac {f (b^2-\frac {-c^2 g^2+b c g h+2 b^2 h^2}{3 h^2})}{c^2}+\frac {b f x}{c}+f x^2)} \, dx\)