3.2.1 \(\int \frac {\sqrt {\frac {e (a+b x^2)}{c+d x^2}}}{x^3} \, dx\)
  3.2.2 \(\int \frac {\sqrt {\frac {e (a+b x^2)}{c+d x^2}}}{x^5} \, dx\)
  3.2.3 \(\int \frac {\sqrt {\frac {e (a+b x^2)}{c+d x^2}}}{x^7} \, dx\)
  3.2.4 \(\int x^5 (\frac {e (a+b x^2)}{c+d x^2})^{3/2} \, dx\)
  3.2.5 \(\int x^3 (\frac {e (a+b x^2)}{c+d x^2})^{3/2} \, dx\)
  3.2.6 \(\int x (\frac {e (a+b x^2)}{c+d x^2})^{3/2} \, dx\)
  3.2.7 \(\int \frac {(\frac {e (a+b x^2)}{c+d x^2})^{3/2}}{x} \, dx\)
  3.2.8 \(\int \frac {(\frac {e (a+b x^2)}{c+d x^2})^{3/2}}{x^3} \, dx\)
  3.2.9 \(\int \frac {(\frac {e (a+b x^2)}{c+d x^2})^{3/2}}{x^5} \, dx\)
  3.2.10 \(\int \frac {(\frac {e (a+b x^2)}{c+d x^2})^{3/2}}{x^7} \, dx\)
  3.2.11 \(\int x \sqrt {\frac {1-x^2}{1+x^2}} \, dx\)
  3.2.12 \(\int x \sqrt {\frac {5-7 x^2}{7+5 x^2}} \, dx\)
  3.2.13 \(\int x^2 \sqrt {\frac {1-x^3}{1+x^3}} \, dx\)
  3.2.14 \(\int x^8 \sqrt {\frac {1-x^3}{1+x^3}} \, dx\)
  3.2.15 \(\int x^9 \sqrt {\frac {5-7 x^5}{7+5 x^5}} \, dx\)
  3.2.16 \(\int \frac {\sqrt {\frac {x^2}{-1+x^2}}}{1+x^2} \, dx\)
  3.2.17 \(\int \frac {\sqrt {\frac {x^2}{-1+a+(1+a) x^2}}}{1+x^2} \, dx\)
  3.2.18 \(\int \frac {x^5}{\sqrt {\frac {e (a+b x^2)}{c+d x^2}}} \, dx\)
  3.2.19 \(\int \frac {x^3}{\sqrt {\frac {e (a+b x^2)}{c+d x^2}}} \, dx\)
  3.2.20 \(\int \frac {x}{\sqrt {\frac {e (a+b x^2)}{c+d x^2}}} \, dx\)
  3.2.21 \(\int \frac {1}{x \sqrt {\frac {e (a+b x^2)}{c+d x^2}}} \, dx\)
  3.2.22 \(\int \frac {1}{x^3 \sqrt {\frac {e (a+b x^2)}{c+d x^2}}} \, dx\)
  3.2.23 \(\int \frac {1}{x^5 \sqrt {\frac {e (a+b x^2)}{c+d x^2}}} \, dx\)
  3.2.24 \(\int \frac {x^5}{(\frac {e (a+b x^2)}{c+d x^2})^{3/2}} \, dx\)
  3.2.25 \(\int \frac {x^3}{(\frac {e (a+b x^2)}{c+d x^2})^{3/2}} \, dx\)
  3.2.26 \(\int \frac {x}{(\frac {e (a+b x^2)}{c+d x^2})^{3/2}} \, dx\)
  3.2.27 \(\int \frac {1}{x (\frac {e (a+b x^2)}{c+d x^2})^{3/2}} \, dx\)
  3.2.28 \(\int \frac {1}{x^3 (\frac {e (a+b x^2)}{c+d x^2})^{3/2}} \, dx\)
  3.2.29 \(\int \frac {1}{x^5 (\frac {e (a+b x^2)}{c+d x^2})^{3/2}} \, dx\)
  3.2.30 \(\int x^5 \sqrt {a+\frac {b}{c+d x^2}} \, dx\)
  3.2.31 \(\int x^3 \sqrt {a+\frac {b}{c+d x^2}} \, dx\)
  3.2.32 \(\int x \sqrt {a+\frac {b}{c+d x^2}} \, dx\)
  3.2.33 \(\int \frac {\sqrt {a+\frac {b}{c+d x^2}}}{x} \, dx\)
  3.2.34 \(\int \frac {\sqrt {a+\frac {b}{c+d x^2}}}{x^3} \, dx\)
  3.2.35 \(\int \frac {\sqrt {a+\frac {b}{c+d x^2}}}{x^5} \, dx\)
  3.2.36 \(\int \frac {\sqrt {a+\frac {b}{c+d x^2}}}{x^7} \, dx\)
  3.2.37 \(\int x^5 (a+\frac {b}{c+d x^2})^{3/2} \, dx\)
  3.2.38 \(\int x^3 (a+\frac {b}{c+d x^2})^{3/2} \, dx\)
  3.2.39 \(\int x (a+\frac {b}{c+d x^2})^{3/2} \, dx\)
  3.2.40 \(\int \frac {(a+\frac {b}{c+d x^2})^{3/2}}{x} \, dx\)
  3.2.41 \(\int \frac {(a+\frac {b}{c+d x^2})^{3/2}}{x^3} \, dx\)
  3.2.42 \(\int \frac {(a+\frac {b}{c+d x^2})^{3/2}}{x^5} \, dx\)
  3.2.43 \(\int \frac {(a+\frac {b}{c+d x^2})^{3/2}}{x^7} \, dx\)
  3.2.44 \(\int \frac {x^5}{\sqrt {a+\frac {b}{c+d x^2}}} \, dx\)
  3.2.45 \(\int \frac {x^3}{\sqrt {a+\frac {b}{c+d x^2}}} \, dx\)
  3.2.46 \(\int \frac {x}{\sqrt {a+\frac {b}{c+d x^2}}} \, dx\)
  3.2.47 \(\int \frac {1}{x \sqrt {a+\frac {b}{c+d x^2}}} \, dx\)
  3.2.48 \(\int \frac {1}{x^3 \sqrt {a+\frac {b}{c+d x^2}}} \, dx\)
  3.2.49 \(\int \frac {1}{x^5 \sqrt {a+\frac {b}{c+d x^2}}} \, dx\)
  3.2.50 \(\int \frac {x^5}{(a+\frac {b}{c+d x^2})^{3/2}} \, dx\)
  3.2.51 \(\int \frac {x^3}{(a+\frac {b}{c+d x^2})^{3/2}} \, dx\)
  3.2.52 \(\int \frac {x}{(a+\frac {b}{c+d x^2})^{3/2}} \, dx\)
  3.2.53 \(\int \frac {1}{x (a+\frac {b}{c+d x^2})^{3/2}} \, dx\)
  3.2.54 \(\int \frac {1}{x^3 (a+\frac {b}{c+d x^2})^{3/2}} \, dx\)
  3.2.55 \(\int \frac {1}{x^5 (a+\frac {b}{c+d x^2})^{3/2}} \, dx\)
  3.2.56 \(\int \frac {\sqrt {a x^{23}}}{\sqrt {1+x^5}} \, dx\)
  3.2.57 \(\int \frac {\sqrt {a x^{13}}}{\sqrt {1+x^5}} \, dx\)
  3.2.58 \(\int \frac {\sqrt {a x^3}}{\sqrt {1+x^5}} \, dx\)
  3.2.59 \(\int \frac {\sqrt {\frac {a}{x^7}}}{\sqrt {1+x^5}} \, dx\)
  3.2.60 \(\int \frac {\sqrt {\frac {a}{x^{17}}}}{\sqrt {1+x^5}} \, dx\)
  3.2.61 \(\int \frac {\sqrt {a x^6}}{x (1-x^4)} \, dx\)
  3.2.62 \(\int \frac {\sqrt {a x^6}}{x-x^5} \, dx\)
  3.2.63 \(\int \frac {(a x^6)^{3/2}}{x (1-x^4)} \, dx\)
  3.2.64 \(\int (\frac {1}{1-x^4}-\frac {\sqrt {a x^6}}{x (1-x^4)}) \, dx\)
  3.2.65 \(\int (\frac {1}{1-x^4}-\frac {\sqrt {a x^6}}{x-x^5}) \, dx\)
  3.2.66 \(\int \frac {\sqrt {a x^3}}{x-x^3} \, dx\)
  3.2.67 \(\int \frac {\sqrt {a x^4}}{\sqrt {1+x^2}} \, dx\)
  3.2.68 \(\int \frac {\sqrt {a x^2}}{\sqrt {1+x^2}} \, dx\)
  3.2.69 \(\int \frac {\sqrt {\frac {a}{x^2}}}{\sqrt {1+x^2}} \, dx\)
  3.2.70 \(\int \frac {\sqrt {\frac {a}{x^4}}}{\sqrt {1+x^2}} \, dx\)
  3.2.71 \(\int \frac {\sqrt {a x^4}}{\sqrt {1+x^3}} \, dx\)
  3.2.72 \(\int \frac {\sqrt {a x}}{\sqrt {1+x^3}} \, dx\)
  3.2.73 \(\int \frac {\sqrt {\frac {a}{x^2}}}{\sqrt {1+x^3}} \, dx\)
  3.2.74 \(\int (\frac {\sqrt {a x^{2 n}}}{\sqrt {1+x^n}}+\frac {2 x^{-n} \sqrt {a x^{2 n}}}{(2+n) \sqrt {1+x^n}}) \, dx\)
  3.2.75 \(\int (a x^m)^r \, dx\)
  3.2.76 \(\int (a x^m)^r (b x^n)^s \, dx\)
  3.2.77 \(\int (a x^m)^r (b x^n)^s (c x^p)^t \, dx\)
  3.2.78 \(\int \frac {x^2}{\sqrt {a+b x}+\sqrt {c+b x}} \, dx\)
  3.2.79 \(\int \frac {x}{\sqrt {a+b x}+\sqrt {c+b x}} \, dx\)
  3.2.80 \(\int \frac {1}{\sqrt {a+b x}+\sqrt {c+b x}} \, dx\)
  3.2.81 \(\int \frac {1}{x (\sqrt {a+b x}+\sqrt {c+b x})} \, dx\)
  3.2.82 \(\int \frac {1}{x^2 (\sqrt {a+b x}+\sqrt {c+b x})} \, dx\)
  3.2.83 \(\int \frac {x^2}{(\sqrt {a+b x}+\sqrt {c+b x})^2} \, dx\)
  3.2.84 \(\int \frac {x}{(\sqrt {a+b x}+\sqrt {c+b x})^2} \, dx\)
  3.2.85 \(\int \frac {1}{(\sqrt {a+b x}+\sqrt {c+b x})^2} \, dx\)
  3.2.86 \(\int \frac {1}{x (\sqrt {a+b x}+\sqrt {c+b x})^2} \, dx\)
  3.2.87 \(\int \frac {1}{x^2 (\sqrt {a+b x}+\sqrt {c+b x})^2} \, dx\)
  3.2.88 \(\int \frac {x^2}{(\sqrt {a+b x}+\sqrt {c+b x})^3} \, dx\)
  3.2.89 \(\int \frac {x}{(\sqrt {a+b x}+\sqrt {c+b x})^3} \, dx\)
  3.2.90 \(\int \frac {1}{(\sqrt {a+b x}+\sqrt {c+b x})^3} \, dx\)
  3.2.91 \(\int \frac {1}{x (\sqrt {a+b x}+\sqrt {c+b x})^3} \, dx\)
  3.2.92 \(\int \frac {1}{x^2 (\sqrt {a+b x}+\sqrt {c+b x})^3} \, dx\)
  3.2.93 \(\int \frac {1}{\sqrt {x}+\sqrt {1+x}} \, dx\)
  3.2.94 \(\int \frac {1}{\sqrt {-1+x}+\sqrt {x}} \, dx\)
  3.2.95 \(\int \frac {1}{\sqrt {-1+x}+\sqrt {1+x}} \, dx\)
  3.2.96 \(\int x^3 (\sqrt {1-x}+\sqrt {1+x})^2 \, dx\)
  3.2.97 \(\int x^2 (\sqrt {1-x}+\sqrt {1+x})^2 \, dx\)
  3.2.98 \(\int x (\sqrt {1-x}+\sqrt {1+x})^2 \, dx\)
  3.2.99 \(\int (\sqrt {1-x}+\sqrt {1+x})^2 \, dx\)
  3.2.100 \(\int \frac {(\sqrt {1-x}+\sqrt {1+x})^2}{x} \, dx\)