3.2.1 \(\int \frac {1}{x (a x+b x^3+c x^5)^2} \, dx\)
  3.2.2 \(\int \frac {1}{x^2 (a x+b x^3+c x^5)^2} \, dx\)
  3.2.3 \(\int \frac {1}{x^3 (a x+b x^3+c x^5)^2} \, dx\)
  3.2.4 \(\int \sqrt {x} \sqrt {a x+b x^3+c x^5} \, dx\)
  3.2.5 \(\int \frac {\sqrt {a x+b x^3+c x^5}}{x^{3/2}} \, dx\)
  3.2.6 \(\int x^{3/2} (a x+b x^3+c x^5)^{3/2} \, dx\)
  3.2.7 \(\int \frac {(a x+b x^3+c x^5)^{3/2}}{\sqrt {x}} \, dx\)
  3.2.8 \(\int \frac {x^{3/2}}{\sqrt {a x+b x^3+c x^5}} \, dx\)
  3.2.9 \(\int \frac {1}{\sqrt {x} \sqrt {a x+b x^3+c x^5}} \, dx\)
  3.2.10 \(\int \frac {\sqrt {x}}{(a x+b x^3+c x^5)^{3/2}} \, dx\)
  3.2.11 \(\int \frac {1}{x^{3/2} (a x+b x^3+c x^5)^{3/2}} \, dx\)
  3.2.12 \(\int \frac {x^{\frac {3}{2} (-1+n)}}{(a x^{-1+n}+b x^n+c x^{1+n})^{3/2}} \, dx\)
  3.2.13 \(\int \frac {1}{\sqrt {3 x^2-3 x^4+x^6}} \, dx\)
  3.2.14 \(\int \frac {1}{\sqrt {x^2 (3-3 x^2+x^4)}} \, dx\)
  3.2.15 \(\int \frac {1}{\sqrt {1-(1-x^2)^3}} \, dx\)
  3.2.16 \(\int \sqrt {3 x^2-3 x^4+x^6} \, dx\)
  3.2.17 \(\int \sqrt {x^2 (3-3 x^2+x^4)} \, dx\)
  3.2.18 \(\int \sqrt {1-(1-x^2)^3} \, dx\)
  3.2.19 \(\int \frac {1}{x \sqrt {a+b x+c x^2}} \, dx\)
  3.2.20 \(\int \frac {1}{\sqrt {x^2 (a+b x+c x^2)}} \, dx\)
  3.2.21 \(\int \frac {1}{\sqrt {x} \sqrt {x (a+b x+c x^2)}} \, dx\)
  3.2.22 \(\int \frac {\sqrt {x}}{\sqrt {x^3 (a+b x+c x^2)}} \, dx\)
  3.2.23 \(\int \frac {1}{x \sqrt {a+b x^2+c x^4}} \, dx\)
  3.2.24 \(\int \frac {1}{\sqrt {x^2 (a+b x^2+c x^4)}} \, dx\)
  3.2.25 \(\int \frac {1}{\sqrt {x} \sqrt {x (a+b x^2+c x^4)}} \, dx\)
  3.2.26 \(\int \frac {\sqrt {x}}{\sqrt {x^3 (a+b x^2+c x^4)}} \, dx\)
  3.2.27 \(\int \frac {1}{x \sqrt {3-3 x^2+x^4}} \, dx\)
  3.2.28 \(\int \frac {1}{\sqrt {x^2 (3-3 x^2+x^4)}} \, dx\)
  3.2.29 \(\int \frac {1}{\sqrt {x} \sqrt {x (3-3 x+x^2)}} \, dx\)
  3.2.30 \(\int \frac {x^{-1+\frac {q}{2}}}{\sqrt {b x^n+c x^{2 n-q}+a x^q}} \, dx\)