3.5.1 \(\int x^6 (a^2+2 a b x^2+b^2 x^4)^{3/2} \, dx\)
  3.5.2 \(\int x^4 (a^2+2 a b x^2+b^2 x^4)^{3/2} \, dx\)
  3.5.3 \(\int x^2 (a^2+2 a b x^2+b^2 x^4)^{3/2} \, dx\)
  3.5.4 \(\int (a^2+2 a b x^2+b^2 x^4)^{3/2} \, dx\)
  3.5.5 \(\int \frac {(a^2+2 a b x^2+b^2 x^4)^{3/2}}{x^2} \, dx\)
  3.5.6 \(\int \frac {(a^2+2 a b x^2+b^2 x^4)^{3/2}}{x^4} \, dx\)
  3.5.7 \(\int \frac {(a^2+2 a b x^2+b^2 x^4)^{3/2}}{x^6} \, dx\)
  3.5.8 \(\int \frac {(a^2+2 a b x^2+b^2 x^4)^{3/2}}{x^8} \, dx\)
  3.5.9 \(\int \frac {(a^2+2 a b x^2+b^2 x^4)^{3/2}}{x^{10}} \, dx\)
  3.5.10 \(\int \frac {(a^2+2 a b x^2+b^2 x^4)^{3/2}}{x^{12}} \, dx\)
  3.5.11 \(\int \frac {(a^2+2 a b x^2+b^2 x^4)^{3/2}}{x^{14}} \, dx\)
  3.5.12 \(\int \frac {(a^2+2 a b x^2+b^2 x^4)^{3/2}}{x^{16}} \, dx\)
  3.5.13 \(\int x^{13} (a^2+2 a b x^2+b^2 x^4)^{5/2} \, dx\)
  3.5.14 \(\int x^{11} (a^2+2 a b x^2+b^2 x^4)^{5/2} \, dx\)
  3.5.15 \(\int x^9 (a^2+2 a b x^2+b^2 x^4)^{5/2} \, dx\)
  3.5.16 \(\int x^7 (a^2+2 a b x^2+b^2 x^4)^{5/2} \, dx\)
  3.5.17 \(\int x^5 (a^2+2 a b x^2+b^2 x^4)^{5/2} \, dx\)
  3.5.18 \(\int x^3 (a^2+2 a b x^2+b^2 x^4)^{5/2} \, dx\)
  3.5.19 \(\int x (a^2+2 a b x^2+b^2 x^4)^{5/2} \, dx\)
  3.5.20 \(\int \frac {(a^2+2 a b x^2+b^2 x^4)^{5/2}}{x} \, dx\)
  3.5.21 \(\int \frac {(a^2+2 a b x^2+b^2 x^4)^{5/2}}{x^3} \, dx\)
  3.5.22 \(\int \frac {(a^2+2 a b x^2+b^2 x^4)^{5/2}}{x^5} \, dx\)
  3.5.23 \(\int \frac {(a^2+2 a b x^2+b^2 x^4)^{5/2}}{x^7} \, dx\)
  3.5.24 \(\int \frac {(a^2+2 a b x^2+b^2 x^4)^{5/2}}{x^9} \, dx\)
  3.5.25 \(\int \frac {(a^2+2 a b x^2+b^2 x^4)^{5/2}}{x^{11}} \, dx\)
  3.5.26 \(\int \frac {(a^2+2 a b x^2+b^2 x^4)^{5/2}}{x^{13}} \, dx\)
  3.5.27 \(\int \frac {(a^2+2 a b x^2+b^2 x^4)^{5/2}}{x^{15}} \, dx\)
  3.5.28 \(\int \frac {(a^2+2 a b x^2+b^2 x^4)^{5/2}}{x^{17}} \, dx\)
  3.5.29 \(\int \frac {(a^2+2 a b x^2+b^2 x^4)^{5/2}}{x^{19}} \, dx\)
  3.5.30 \(\int \frac {(a^2+2 a b x^2+b^2 x^4)^{5/2}}{x^{21}} \, dx\)
  3.5.31 \(\int \frac {(a^2+2 a b x^2+b^2 x^4)^{5/2}}{x^{23}} \, dx\)
  3.5.32 \(\int \frac {(a^2+2 a b x^2+b^2 x^4)^{5/2}}{x^{25}} \, dx\)
  3.5.33 \(\int x^{12} (a^2+2 a b x^2+b^2 x^4)^{5/2} \, dx\)
  3.5.34 \(\int x^{10} (a^2+2 a b x^2+b^2 x^4)^{5/2} \, dx\)
  3.5.35 \(\int x^8 (a^2+2 a b x^2+b^2 x^4)^{5/2} \, dx\)
  3.5.36 \(\int x^6 (a^2+2 a b x^2+b^2 x^4)^{5/2} \, dx\)
  3.5.37 \(\int x^4 (a^2+2 a b x^2+b^2 x^4)^{5/2} \, dx\)
  3.5.38 \(\int x^2 (a^2+2 a b x^2+b^2 x^4)^{5/2} \, dx\)
  3.5.39 \(\int (a^2+2 a b x^2+b^2 x^4)^{5/2} \, dx\)
  3.5.40 \(\int \frac {(a^2+2 a b x^2+b^2 x^4)^{5/2}}{x^2} \, dx\)
  3.5.41 \(\int \frac {(a^2+2 a b x^2+b^2 x^4)^{5/2}}{x^4} \, dx\)
  3.5.42 \(\int \frac {(a^2+2 a b x^2+b^2 x^4)^{5/2}}{x^6} \, dx\)
  3.5.43 \(\int \frac {(a^2+2 a b x^2+b^2 x^4)^{5/2}}{x^8} \, dx\)
  3.5.44 \(\int \frac {(a^2+2 a b x^2+b^2 x^4)^{5/2}}{x^{10}} \, dx\)
  3.5.45 \(\int \frac {(a^2+2 a b x^2+b^2 x^4)^{5/2}}{x^{12}} \, dx\)
  3.5.46 \(\int \frac {(a^2+2 a b x^2+b^2 x^4)^{5/2}}{x^{14}} \, dx\)
  3.5.47 \(\int \frac {(a^2+2 a b x^2+b^2 x^4)^{5/2}}{x^{16}} \, dx\)
  3.5.48 \(\int \frac {(a^2+2 a b x^2+b^2 x^4)^{5/2}}{x^{18}} \, dx\)
  3.5.49 \(\int \frac {(a^2+2 a b x^2+b^2 x^4)^{5/2}}{x^{20}} \, dx\)
  3.5.50 \(\int \frac {(a^2+2 a b x^2+b^2 x^4)^{5/2}}{x^{22}} \, dx\)
  3.5.51 \(\int \frac {(a^2+2 a b x^2+b^2 x^4)^{5/2}}{x^{24}} \, dx\)
  3.5.52 \(\int \frac {x^5}{\sqrt {a^2+2 a b x^2+b^2 x^4}} \, dx\)
  3.5.53 \(\int \frac {x^3}{\sqrt {a^2+2 a b x^2+b^2 x^4}} \, dx\)
  3.5.54 \(\int \frac {x}{\sqrt {a^2+2 a b x^2+b^2 x^4}} \, dx\)
  3.5.55 \(\int \frac {1}{x \sqrt {a^2+2 a b x^2+b^2 x^4}} \, dx\)
  3.5.56 \(\int \frac {1}{x^3 \sqrt {a^2+2 a b x^2+b^2 x^4}} \, dx\)
  3.5.57 \(\int \frac {x^4}{\sqrt {a^2+2 a b x^2+b^2 x^4}} \, dx\)
  3.5.58 \(\int \frac {x^2}{\sqrt {a^2+2 a b x^2+b^2 x^4}} \, dx\)
  3.5.59 \(\int \frac {1}{\sqrt {a^2+2 a b x^2+b^2 x^4}} \, dx\)
  3.5.60 \(\int \frac {1}{x^2 \sqrt {a^2+2 a b x^2+b^2 x^4}} \, dx\)
  3.5.61 \(\int \frac {1}{x^4 \sqrt {a^2+2 a b x^2+b^2 x^4}} \, dx\)
  3.5.62 \(\int \frac {x^7}{(a^2+2 a b x^2+b^2 x^4)^{3/2}} \, dx\)
  3.5.63 \(\int \frac {x^5}{(a^2+2 a b x^2+b^2 x^4)^{3/2}} \, dx\)
  3.5.64 \(\int \frac {x^3}{(a^2+2 a b x^2+b^2 x^4)^{3/2}} \, dx\)
  3.5.65 \(\int \frac {x}{(a^2+2 a b x^2+b^2 x^4)^{3/2}} \, dx\)
  3.5.66 \(\int \frac {1}{x (a^2+2 a b x^2+b^2 x^4)^{3/2}} \, dx\)
  3.5.67 \(\int \frac {1}{x^3 (a^2+2 a b x^2+b^2 x^4)^{3/2}} \, dx\)
  3.5.68 \(\int \frac {x^4}{(a^2+2 a b x^2+b^2 x^4)^{3/2}} \, dx\)
  3.5.69 \(\int \frac {x^2}{(a^2+2 a b x^2+b^2 x^4)^{3/2}} \, dx\)
  3.5.70 \(\int \frac {1}{(a^2+2 a b x^2+b^2 x^4)^{3/2}} \, dx\)
  3.5.71 \(\int \frac {1}{x^2 (a^2+2 a b x^2+b^2 x^4)^{3/2}} \, dx\)
  3.5.72 \(\int \frac {1}{x^4 (a^2+2 a b x^2+b^2 x^4)^{3/2}} \, dx\)
  3.5.73 \(\int \frac {x^{11}}{(a^2+2 a b x^2+b^2 x^4)^{5/2}} \, dx\)
  3.5.74 \(\int \frac {x^9}{(a^2+2 a b x^2+b^2 x^4)^{5/2}} \, dx\)
  3.5.75 \(\int \frac {x^7}{(a^2+2 a b x^2+b^2 x^4)^{5/2}} \, dx\)
  3.5.76 \(\int \frac {x^5}{(a^2+2 a b x^2+b^2 x^4)^{5/2}} \, dx\)
  3.5.77 \(\int \frac {x^3}{(a^2+2 a b x^2+b^2 x^4)^{5/2}} \, dx\)
  3.5.78 \(\int \frac {x}{(a^2+2 a b x^2+b^2 x^4)^{5/2}} \, dx\)
  3.5.79 \(\int \frac {1}{x (a^2+2 a b x^2+b^2 x^4)^{5/2}} \, dx\)
  3.5.80 \(\int \frac {1}{x^3 (a^2+2 a b x^2+b^2 x^4)^{5/2}} \, dx\)
  3.5.81 \(\int \frac {x^6}{(a^2+2 a b x^2+b^2 x^4)^{5/2}} \, dx\)
  3.5.82 \(\int \frac {x^4}{(a^2+2 a b x^2+b^2 x^4)^{5/2}} \, dx\)
  3.5.83 \(\int \frac {x^2}{(a^2+2 a b x^2+b^2 x^4)^{5/2}} \, dx\)
  3.5.84 \(\int \frac {1}{(a^2+2 a b x^2+b^2 x^4)^{5/2}} \, dx\)
  3.5.85 \(\int \frac {1}{x^2 (a^2+2 a b x^2+b^2 x^4)^{5/2}} \, dx\)
  3.5.86 \(\int \frac {1}{x^4 (a^2+2 a b x^2+b^2 x^4)^{5/2}} \, dx\)
  3.5.87 \(\int (d x)^{5/2} (a^2+2 a b x^2+b^2 x^4) \, dx\)
  3.5.88 \(\int (d x)^{3/2} (a^2+2 a b x^2+b^2 x^4) \, dx\)
  3.5.89 \(\int \sqrt {d x} (a^2+2 a b x^2+b^2 x^4) \, dx\)
  3.5.90 \(\int \frac {a^2+2 a b x^2+b^2 x^4}{\sqrt {d x}} \, dx\)
  3.5.91 \(\int \frac {a^2+2 a b x^2+b^2 x^4}{(d x)^{3/2}} \, dx\)
  3.5.92 \(\int \frac {a^2+2 a b x^2+b^2 x^4}{(d x)^{5/2}} \, dx\)
  3.5.93 \(\int \frac {a^2+2 a b x^2+b^2 x^4}{(d x)^{7/2}} \, dx\)
  3.5.94 \(\int (d x)^{5/2} (a^2+2 a b x^2+b^2 x^4)^2 \, dx\)
  3.5.95 \(\int (d x)^{3/2} (a^2+2 a b x^2+b^2 x^4)^2 \, dx\)
  3.5.96 \(\int \sqrt {d x} (a^2+2 a b x^2+b^2 x^4)^2 \, dx\)
  3.5.97 \(\int \frac {(a^2+2 a b x^2+b^2 x^4)^2}{\sqrt {d x}} \, dx\)
  3.5.98 \(\int \frac {(a^2+2 a b x^2+b^2 x^4)^2}{(d x)^{3/2}} \, dx\)
  3.5.99 \(\int \frac {(a^2+2 a b x^2+b^2 x^4)^2}{(d x)^{5/2}} \, dx\)
  3.5.100 \(\int \frac {(a^2+2 a b x^2+b^2 x^4)^2}{(d x)^{7/2}} \, dx\)