3.9.1 \(\int \frac {x}{(a+b x^2)^{7/2} \sqrt {c+d x^2}} \, dx\)
  3.9.2 \(\int \frac {x^5}{(a+b x^2)^{9/2} \sqrt {c+d x^2}} \, dx\)
  3.9.3 \(\int \frac {x}{\sqrt {a-b x^2} \sqrt {c+d x^2}} \, dx\)
  3.9.4 \(\int \frac {x}{\sqrt {a-b x^2} \sqrt {c-d x^2}} \, dx\)
  3.9.5 \(\int \frac {x^5}{\sqrt [3]{1-x^2} (3+x^2)} \, dx\)
  3.9.6 \(\int \frac {x^3}{\sqrt [3]{1-x^2} (3+x^2)} \, dx\)
  3.9.7 \(\int \frac {x}{\sqrt [3]{1-x^2} (3+x^2)} \, dx\)
  3.9.8 \(\int \frac {1}{x \sqrt [3]{1-x^2} (3+x^2)} \, dx\)
  3.9.9 \(\int \frac {1}{x^3 \sqrt [3]{1-x^2} (3+x^2)} \, dx\)
  3.9.10 \(\int \frac {1}{x^5 \sqrt [3]{1-x^2} (3+x^2)} \, dx\)
  3.9.11 \(\int \frac {1}{\sqrt [3]{1-x^2} (3+x^2)} \, dx\)
  3.9.12 \(\int \frac {x^7}{\sqrt [3]{1-x^2} (3+x^2)^2} \, dx\)
  3.9.13 \(\int \frac {x^5}{\sqrt [3]{1-x^2} (3+x^2)^2} \, dx\)
  3.9.14 \(\int \frac {x^3}{\sqrt [3]{1-x^2} (3+x^2)^2} \, dx\)
  3.9.15 \(\int \frac {x}{\sqrt [3]{1-x^2} (3+x^2)^2} \, dx\)
  3.9.16 \(\int \frac {1}{x \sqrt [3]{1-x^2} (3+x^2)^2} \, dx\)
  3.9.17 \(\int \frac {1}{x^3 \sqrt [3]{1-x^2} (3+x^2)^2} \, dx\)
  3.9.18 \(\int \frac {1}{x^5 \sqrt [3]{1-x^2} (3+x^2)^2} \, dx\)
  3.9.19 \(\int \frac {x^7}{\sqrt [4]{2-3 x^2} (4-3 x^2)} \, dx\)
  3.9.20 \(\int \frac {x^5}{\sqrt [4]{2-3 x^2} (4-3 x^2)} \, dx\)
  3.9.21 \(\int \frac {x^3}{\sqrt [4]{2-3 x^2} (4-3 x^2)} \, dx\)
  3.9.22 \(\int \frac {x}{\sqrt [4]{2-3 x^2} (4-3 x^2)} \, dx\)
  3.9.23 \(\int \frac {1}{x \sqrt [4]{2-3 x^2} (4-3 x^2)} \, dx\)
  3.9.24 \(\int \frac {1}{x^3 \sqrt [4]{2-3 x^2} (4-3 x^2)} \, dx\)
  3.9.25 \(\int \frac {1}{\sqrt [4]{2-3 x^2} (4-3 x^2)} \, dx\)
  3.9.26 \(\int \frac {x^7}{(-2+3 x^2) \sqrt [4]{-1+3 x^2}} \, dx\)
  3.9.27 \(\int \frac {x^5}{(-2+3 x^2) \sqrt [4]{-1+3 x^2}} \, dx\)
  3.9.28 \(\int \frac {x^3}{(-2+3 x^2) \sqrt [4]{-1+3 x^2}} \, dx\)
  3.9.29 \(\int \frac {x}{(-2+3 x^2) \sqrt [4]{-1+3 x^2}} \, dx\)
  3.9.30 \(\int \frac {1}{x (-2+3 x^2) \sqrt [4]{-1+3 x^2}} \, dx\)
  3.9.31 \(\int \frac {1}{x^3 (-2+3 x^2) \sqrt [4]{-1+3 x^2}} \, dx\)
  3.9.32 \(\int \frac {1}{(-2+3 x^2) \sqrt [4]{-1+3 x^2}} \, dx\)
  3.9.33 \(\int \frac {x^2}{(2+3 x^2)^{3/4} (4+3 x^2)} \, dx\)
  3.9.34 \(\int \frac {x^2}{(2-3 x^2)^{3/4} (4-3 x^2)} \, dx\)
  3.9.35 \(\int \frac {x^2}{(2+b x^2)^{3/4} (4+b x^2)} \, dx\)
  3.9.36 \(\int \frac {x^2}{(2-b x^2)^{3/4} (4-b x^2)} \, dx\)
  3.9.37 \(\int \frac {x^2}{(a+3 x^2)^{3/4} (2 a+3 x^2)} \, dx\)
  3.9.38 \(\int \frac {x^2}{(a-3 x^2)^{3/4} (2 a-3 x^2)} \, dx\)
  3.9.39 \(\int \frac {x^2}{(a+b x^2)^{3/4} (2 a+b x^2)} \, dx\)
  3.9.40 \(\int \frac {x^2}{(a-b x^2)^{3/4} (2 a-b x^2)} \, dx\)
  3.9.41 \(\int \frac {x^7}{(2-3 x^2)^{3/4} (4-3 x^2)} \, dx\)
  3.9.42 \(\int \frac {x^5}{(2-3 x^2)^{3/4} (4-3 x^2)} \, dx\)
  3.9.43 \(\int \frac {x^3}{(2-3 x^2)^{3/4} (4-3 x^2)} \, dx\)
  3.9.44 \(\int \frac {x}{(2-3 x^2)^{3/4} (4-3 x^2)} \, dx\)
  3.9.45 \(\int \frac {1}{x (2-3 x^2)^{3/4} (4-3 x^2)} \, dx\)
  3.9.46 \(\int \frac {1}{x^3 (2-3 x^2)^{3/4} (4-3 x^2)} \, dx\)
  3.9.47 \(\int \frac {x^2}{(2-3 x^2)^{3/4} (4-3 x^2)} \, dx\)
  3.9.48 \(\int \frac {x^2}{(-2+3 x^2) (-1+3 x^2)^{3/4}} \, dx\)
  3.9.49 \(\int \frac {x^2}{(-2-3 x^2) (-1-3 x^2)^{3/4}} \, dx\)
  3.9.50 \(\int \frac {x^2}{(-2+b x^2) (-1+b x^2)^{3/4}} \, dx\)
  3.9.51 \(\int \frac {x^2}{(-2-b x^2) (-1-b x^2)^{3/4}} \, dx\)
  3.9.52 \(\int \frac {x^2}{(-2 a+3 x^2) (-a+3 x^2)^{3/4}} \, dx\)
  3.9.53 \(\int \frac {x^2}{(-2 a-3 x^2) (-a-3 x^2)^{3/4}} \, dx\)
  3.9.54 \(\int \frac {x^2}{(-2 a+b x^2) (-a+b x^2)^{3/4}} \, dx\)
  3.9.55 \(\int \frac {x^2}{(-2 a-b x^2) (-a-b x^2)^{3/4}} \, dx\)
  3.9.56 \(\int \frac {x^7}{(-2+3 x^2) (-1+3 x^2)^{3/4}} \, dx\)
  3.9.57 \(\int \frac {x^5}{(-2+3 x^2) (-1+3 x^2)^{3/4}} \, dx\)
  3.9.58 \(\int \frac {x^3}{(-2+3 x^2) (-1+3 x^2)^{3/4}} \, dx\)
  3.9.59 \(\int \frac {x}{(-2+3 x^2) (-1+3 x^2)^{3/4}} \, dx\)
  3.9.60 \(\int \frac {1}{x (-2+3 x^2) (-1+3 x^2)^{3/4}} \, dx\)
  3.9.61 \(\int \frac {1}{x^3 (-2+3 x^2) (-1+3 x^2)^{3/4}} \, dx\)
  3.9.62 \(\int \frac {x^2}{(-2+3 x^2) (-1+3 x^2)^{3/4}} \, dx\)
  3.9.63 \(\int \frac {(e x)^{5/2} (c+d x^2)}{(a+b x^2)^{3/4}} \, dx\)
  3.9.64 \(\int \frac {\sqrt {e x} (c+d x^2)}{(a+b x^2)^{3/4}} \, dx\)
  3.9.65 \(\int \frac {c+d x^2}{(e x)^{3/2} (a+b x^2)^{3/4}} \, dx\)
  3.9.66 \(\int \frac {c+d x^2}{(e x)^{7/2} (a+b x^2)^{3/4}} \, dx\)
  3.9.67 \(\int \frac {c+d x^2}{(e x)^{11/2} (a+b x^2)^{3/4}} \, dx\)
  3.9.68 \(\int \frac {c+d x^2}{(e x)^{15/2} (a+b x^2)^{3/4}} \, dx\)
  3.9.69 \(\int \frac {(e x)^{3/2} (c+d x^2)}{(a+b x^2)^{5/4}} \, dx\)
  3.9.70 \(\int \frac {c+d x^2}{\sqrt {e x} (a+b x^2)^{5/4}} \, dx\)
  3.9.71 \(\int \frac {c+d x^2}{(e x)^{5/2} (a+b x^2)^{5/4}} \, dx\)
  3.9.72 \(\int \frac {c+d x^2}{(e x)^{9/2} (a+b x^2)^{5/4}} \, dx\)
  3.9.73 \(\int \frac {c+d x^2}{(e x)^{13/2} (a+b x^2)^{5/4}} \, dx\)
  3.9.74 \(\int \frac {(e x)^{5/2} (c+d x^2)}{(a+b x^2)^{7/4}} \, dx\)
  3.9.75 \(\int \frac {\sqrt {e x} (c+d x^2)}{(a+b x^2)^{7/4}} \, dx\)
  3.9.76 \(\int \frac {c+d x^2}{(e x)^{3/2} (a+b x^2)^{7/4}} \, dx\)
  3.9.77 \(\int \frac {c+d x^2}{(e x)^{7/2} (a+b x^2)^{7/4}} \, dx\)
  3.9.78 \(\int \frac {c+d x^2}{(e x)^{11/2} (a+b x^2)^{7/4}} \, dx\)
  3.9.79 \(\int \frac {(e x)^{7/2} (c+d x^2)}{(a+b x^2)^{9/4}} \, dx\)
  3.9.80 \(\int \frac {(e x)^{3/2} (c+d x^2)}{(a+b x^2)^{9/4}} \, dx\)
  3.9.81 \(\int \frac {c+d x^2}{\sqrt {e x} (a+b x^2)^{9/4}} \, dx\)
  3.9.82 \(\int \frac {c+d x^2}{(e x)^{5/2} (a+b x^2)^{9/4}} \, dx\)
  3.9.83 \(\int \frac {c+d x^2}{(e x)^{9/2} (a+b x^2)^{9/4}} \, dx\)
  3.9.84 \(\int \frac {c+d x^2}{(e x)^{13/2} (a+b x^2)^{9/4}} \, dx\)