3.8.1 \(\int \frac {1}{x^2 (a+b x^2) (c+d x^2)^{3/2}} \, dx\)
  3.8.2 \(\int \frac {1}{x^3 (a+b x^2) (c+d x^2)^{3/2}} \, dx\)
  3.8.3 \(\int \frac {1}{x^4 (a+b x^2) (c+d x^2)^{3/2}} \, dx\)
  3.8.4 \(\int \frac {x^4}{(a+b x^2) (c+d x^2)^{5/2}} \, dx\)
  3.8.5 \(\int \frac {x^3}{(a+b x^2) (c+d x^2)^{5/2}} \, dx\)
  3.8.6 \(\int \frac {x^2}{(a+b x^2) (c+d x^2)^{5/2}} \, dx\)
  3.8.7 \(\int \frac {x}{(a+b x^2) (c+d x^2)^{5/2}} \, dx\)
  3.8.8 \(\int \frac {1}{(a+b x^2) (c+d x^2)^{5/2}} \, dx\)
  3.8.9 \(\int \frac {1}{x (a+b x^2) (c+d x^2)^{5/2}} \, dx\)
  3.8.10 \(\int \frac {1}{x^2 (a+b x^2) (c+d x^2)^{5/2}} \, dx\)
  3.8.11 \(\int \frac {1}{x^3 (a+b x^2) (c+d x^2)^{5/2}} \, dx\)
  3.8.12 \(\int \frac {1}{x^4 (a+b x^2) (c+d x^2)^{5/2}} \, dx\)
  3.8.13 \(\int \frac {x^4 \sqrt {c+d x^2}}{(a+b x^2)^2} \, dx\)
  3.8.14 \(\int \frac {x^3 \sqrt {c+d x^2}}{(a+b x^2)^2} \, dx\)
  3.8.15 \(\int \frac {x^2 \sqrt {c+d x^2}}{(a+b x^2)^2} \, dx\)
  3.8.16 \(\int \frac {x \sqrt {c+d x^2}}{(a+b x^2)^2} \, dx\)
  3.8.17 \(\int \frac {\sqrt {c+d x^2}}{(a+b x^2)^2} \, dx\)
  3.8.18 \(\int \frac {\sqrt {c+d x^2}}{x (a+b x^2)^2} \, dx\)
  3.8.19 \(\int \frac {\sqrt {c+d x^2}}{x^2 (a+b x^2)^2} \, dx\)
  3.8.20 \(\int \frac {\sqrt {c+d x^2}}{x^3 (a+b x^2)^2} \, dx\)
  3.8.21 \(\int \frac {\sqrt {c+d x^2}}{x^4 (a+b x^2)^2} \, dx\)
  3.8.22 \(\int \frac {x^4 (c+d x^2)^{3/2}}{(a+b x^2)^2} \, dx\)
  3.8.23 \(\int \frac {x^3 (c+d x^2)^{3/2}}{(a+b x^2)^2} \, dx\)
  3.8.24 \(\int \frac {x^2 (c+d x^2)^{3/2}}{(a+b x^2)^2} \, dx\)
  3.8.25 \(\int \frac {x (c+d x^2)^{3/2}}{(a+b x^2)^2} \, dx\)
  3.8.26 \(\int \frac {(c+d x^2)^{3/2}}{(a+b x^2)^2} \, dx\)
  3.8.27 \(\int \frac {(c+d x^2)^{3/2}}{x (a+b x^2)^2} \, dx\)
  3.8.28 \(\int \frac {(c+d x^2)^{3/2}}{x^2 (a+b x^2)^2} \, dx\)
  3.8.29 \(\int \frac {(c+d x^2)^{3/2}}{x^3 (a+b x^2)^2} \, dx\)
  3.8.30 \(\int \frac {(c+d x^2)^{3/2}}{x^4 (a+b x^2)^2} \, dx\)
  3.8.31 \(\int \frac {x^4 (c+d x^2)^{5/2}}{(a+b x^2)^2} \, dx\)
  3.8.32 \(\int \frac {x^3 (c+d x^2)^{5/2}}{(a+b x^2)^2} \, dx\)
  3.8.33 \(\int \frac {x^2 (c+d x^2)^{5/2}}{(a+b x^2)^2} \, dx\)
  3.8.34 \(\int \frac {x (c+d x^2)^{5/2}}{(a+b x^2)^2} \, dx\)
  3.8.35 \(\int \frac {(c+d x^2)^{5/2}}{(a+b x^2)^2} \, dx\)
  3.8.36 \(\int \frac {(c+d x^2)^{5/2}}{x (a+b x^2)^2} \, dx\)
  3.8.37 \(\int \frac {(c+d x^2)^{5/2}}{x^2 (a+b x^2)^2} \, dx\)
  3.8.38 \(\int \frac {(c+d x^2)^{5/2}}{x^3 (a+b x^2)^2} \, dx\)
  3.8.39 \(\int \frac {(c+d x^2)^{5/2}}{x^4 (a+b x^2)^2} \, dx\)
  3.8.40 \(\int \frac {x^4}{(a+b x^2)^2 \sqrt {c+d x^2}} \, dx\)
  3.8.41 \(\int \frac {x^3}{(a+b x^2)^2 \sqrt {c+d x^2}} \, dx\)
  3.8.42 \(\int \frac {x^2}{(a+b x^2)^2 \sqrt {c+d x^2}} \, dx\)
  3.8.43 \(\int \frac {x}{(a+b x^2)^2 \sqrt {c+d x^2}} \, dx\)
  3.8.44 \(\int \frac {1}{(a+b x^2)^2 \sqrt {c+d x^2}} \, dx\)
  3.8.45 \(\int \frac {1}{x (a+b x^2)^2 \sqrt {c+d x^2}} \, dx\)
  3.8.46 \(\int \frac {1}{x^2 (a+b x^2)^2 \sqrt {c+d x^2}} \, dx\)
  3.8.47 \(\int \frac {1}{x^3 (a+b x^2)^2 \sqrt {c+d x^2}} \, dx\)
  3.8.48 \(\int \frac {1}{x^4 (a+b x^2)^2 \sqrt {c+d x^2}} \, dx\)
  3.8.49 \(\int \frac {x^4}{(a+b x^2)^2 (c+d x^2)^{3/2}} \, dx\)
  3.8.50 \(\int \frac {x^3}{(a+b x^2)^2 (c+d x^2)^{3/2}} \, dx\)
  3.8.51 \(\int \frac {x^2}{(a+b x^2)^2 (c+d x^2)^{3/2}} \, dx\)
  3.8.52 \(\int \frac {x}{(a+b x^2)^2 (c+d x^2)^{3/2}} \, dx\)
  3.8.53 \(\int \frac {1}{(a+b x^2)^2 (c+d x^2)^{3/2}} \, dx\)
  3.8.54 \(\int \frac {1}{x (a+b x^2)^2 (c+d x^2)^{3/2}} \, dx\)
  3.8.55 \(\int \frac {1}{x^2 (a+b x^2)^2 (c+d x^2)^{3/2}} \, dx\)
  3.8.56 \(\int \frac {1}{x^3 (a+b x^2)^2 (c+d x^2)^{3/2}} \, dx\)
  3.8.57 \(\int \frac {1}{x^4 (a+b x^2)^2 (c+d x^2)^{3/2}} \, dx\)
  3.8.58 \(\int \frac {x^4}{(a+b x^2)^2 (c+d x^2)^{5/2}} \, dx\)
  3.8.59 \(\int \frac {x^3}{(a+b x^2)^2 (c+d x^2)^{5/2}} \, dx\)
  3.8.60 \(\int \frac {x^2}{(a+b x^2)^2 (c+d x^2)^{5/2}} \, dx\)
  3.8.61 \(\int \frac {x}{(a+b x^2)^2 (c+d x^2)^{5/2}} \, dx\)
  3.8.62 \(\int \frac {1}{(a+b x^2)^2 (c+d x^2)^{5/2}} \, dx\)
  3.8.63 \(\int \frac {1}{x (a+b x^2)^2 (c+d x^2)^{5/2}} \, dx\)
  3.8.64 \(\int \frac {1}{x^2 (a+b x^2)^2 (c+d x^2)^{5/2}} \, dx\)
  3.8.65 \(\int \frac {1}{x^3 (a+b x^2)^2 (c+d x^2)^{5/2}} \, dx\)
  3.8.66 \(\int \frac {1}{x^4 (a+b x^2)^2 (c+d x^2)^{5/2}} \, dx\)
  3.8.67 \(\int \frac {x^5 \sqrt {a+b x^2}}{\sqrt {c+d x^2}} \, dx\)
  3.8.68 \(\int \frac {x^3 \sqrt {a+b x^2}}{\sqrt {c+d x^2}} \, dx\)
  3.8.69 \(\int \frac {x \sqrt {a+b x^2}}{\sqrt {c+d x^2}} \, dx\)
  3.8.70 \(\int \frac {\sqrt {a+b x^2}}{x \sqrt {c+d x^2}} \, dx\)
  3.8.71 \(\int \frac {\sqrt {a+b x^2}}{x^3 \sqrt {c+d x^2}} \, dx\)
  3.8.72 \(\int \frac {\sqrt {a+b x^2}}{x^5 \sqrt {c+d x^2}} \, dx\)
  3.8.73 \(\int \frac {x^5 (a+b x^2)^{3/2}}{\sqrt {c+d x^2}} \, dx\)
  3.8.74 \(\int \frac {x^3 (a+b x^2)^{3/2}}{\sqrt {c+d x^2}} \, dx\)
  3.8.75 \(\int \frac {x (a+b x^2)^{3/2}}{\sqrt {c+d x^2}} \, dx\)
  3.8.76 \(\int \frac {(a+b x^2)^{3/2}}{x \sqrt {c+d x^2}} \, dx\)
  3.8.77 \(\int \frac {(a+b x^2)^{3/2}}{x^3 \sqrt {c+d x^2}} \, dx\)
  3.8.78 \(\int \frac {(a+b x^2)^{3/2}}{x^5 \sqrt {c+d x^2}} \, dx\)
  3.8.79 \(\int \frac {x^5 (a+b x^2)^{5/2}}{\sqrt {c+d x^2}} \, dx\)
  3.8.80 \(\int \frac {x^3 (a+b x^2)^{5/2}}{\sqrt {c+d x^2}} \, dx\)
  3.8.81 \(\int \frac {x (a+b x^2)^{5/2}}{\sqrt {c+d x^2}} \, dx\)
  3.8.82 \(\int \frac {(a+b x^2)^{5/2}}{x \sqrt {c+d x^2}} \, dx\)
  3.8.83 \(\int \frac {(a+b x^2)^{5/2}}{x^3 \sqrt {c+d x^2}} \, dx\)
  3.8.84 \(\int \frac {(a+b x^2)^{5/2}}{x^5 \sqrt {c+d x^2}} \, dx\)
  3.8.85 \(\int \frac {x^3 \sqrt {-1+3 x^2}}{\sqrt {2-3 x^2}} \, dx\)
  3.8.86 \(\int \frac {x \sqrt {-1+3 x^2}}{\sqrt {2-3 x^2}} \, dx\)
  3.8.87 \(\int \frac {x^5}{\sqrt {a+b x^2} \sqrt {c+d x^2}} \, dx\)
  3.8.88 \(\int \frac {x^3}{\sqrt {a+b x^2} \sqrt {c+d x^2}} \, dx\)
  3.8.89 \(\int \frac {x}{\sqrt {a+b x^2} \sqrt {c+d x^2}} \, dx\)
  3.8.90 \(\int \frac {1}{x \sqrt {a+b x^2} \sqrt {c+d x^2}} \, dx\)
  3.8.91 \(\int \frac {1}{x^3 \sqrt {a+b x^2} \sqrt {c+d x^2}} \, dx\)
  3.8.92 \(\int \frac {1}{x^5 \sqrt {a+b x^2} \sqrt {c+d x^2}} \, dx\)
  3.8.93 \(\int \frac {x^5}{(a+b x^2)^{3/2} \sqrt {c+d x^2}} \, dx\)
  3.8.94 \(\int \frac {x^3}{(a+b x^2)^{3/2} \sqrt {c+d x^2}} \, dx\)
  3.8.95 \(\int \frac {x}{(a+b x^2)^{3/2} \sqrt {c+d x^2}} \, dx\)
  3.8.96 \(\int \frac {x^5}{(a+b x^2)^{5/2} \sqrt {c+d x^2}} \, dx\)
  3.8.97 \(\int \frac {x^3}{(a+b x^2)^{5/2} \sqrt {c+d x^2}} \, dx\)
  3.8.98 \(\int \frac {x}{(a+b x^2)^{5/2} \sqrt {c+d x^2}} \, dx\)
  3.8.99 \(\int \frac {x^5}{(a+b x^2)^{7/2} \sqrt {c+d x^2}} \, dx\)
  3.8.100 \(\int \frac {x^3}{(a+b x^2)^{7/2} \sqrt {c+d x^2}} \, dx\)