3.3.1 \(\int \frac {x^2 (A+B x^3)}{(a+b x^3)^{5/2}} \, dx\)
  3.3.2 \(\int \frac {A+B x^3}{x (a+b x^3)^{5/2}} \, dx\)
  3.3.3 \(\int \frac {A+B x^3}{x^4 (a+b x^3)^{5/2}} \, dx\)
  3.3.4 \(\int \frac {x^8 \sqrt {c+d x^3}}{4 c+d x^3} \, dx\)
  3.3.5 \(\int \frac {x^5 \sqrt {c+d x^3}}{4 c+d x^3} \, dx\)
  3.3.6 \(\int \frac {x^2 \sqrt {c+d x^3}}{4 c+d x^3} \, dx\)
  3.3.7 \(\int \frac {\sqrt {c+d x^3}}{x (4 c+d x^3)} \, dx\)
  3.3.8 \(\int \frac {\sqrt {c+d x^3}}{x^4 (4 c+d x^3)} \, dx\)
  3.3.9 \(\int \frac {x^8}{\sqrt {c+d x^3} (4 c+d x^3)} \, dx\)
  3.3.10 \(\int \frac {x^5}{\sqrt {c+d x^3} (4 c+d x^3)} \, dx\)
  3.3.11 \(\int \frac {x^2}{\sqrt {c+d x^3} (4 c+d x^3)} \, dx\)
  3.3.12 \(\int \frac {1}{x \sqrt {c+d x^3} (4 c+d x^3)} \, dx\)
  3.3.13 \(\int \frac {1}{x^4 \sqrt {c+d x^3} (4 c+d x^3)} \, dx\)
  3.3.14 \(\int \frac {x}{\sqrt {c+d x^3} (4 c+d x^3)} \, dx\)
  3.3.15 \(\int \frac {x}{\sqrt {1-x^3} (4-x^3)} \, dx\)
  3.3.16 \(\int \frac {x^{11} \sqrt {c+d x^3}}{8 c-d x^3} \, dx\)
  3.3.17 \(\int \frac {x^8 \sqrt {c+d x^3}}{8 c-d x^3} \, dx\)
  3.3.18 \(\int \frac {x^5 \sqrt {c+d x^3}}{8 c-d x^3} \, dx\)
  3.3.19 \(\int \frac {x^2 \sqrt {c+d x^3}}{8 c-d x^3} \, dx\)
  3.3.20 \(\int \frac {\sqrt {c+d x^3}}{x (8 c-d x^3)} \, dx\)
  3.3.21 \(\int \frac {\sqrt {c+d x^3}}{x^4 (8 c-d x^3)} \, dx\)
  3.3.22 \(\int \frac {\sqrt {c+d x^3}}{x^7 (8 c-d x^3)} \, dx\)
  3.3.23 \(\int \frac {x^{11} (c+d x^3)^{3/2}}{8 c-d x^3} \, dx\)
  3.3.24 \(\int \frac {x^8 (c+d x^3)^{3/2}}{8 c-d x^3} \, dx\)
  3.3.25 \(\int \frac {x^5 (c+d x^3)^{3/2}}{8 c-d x^3} \, dx\)
  3.3.26 \(\int \frac {x^2 (c+d x^3)^{3/2}}{8 c-d x^3} \, dx\)
  3.3.27 \(\int \frac {(c+d x^3)^{3/2}}{x (8 c-d x^3)} \, dx\)
  3.3.28 \(\int \frac {(c+d x^3)^{3/2}}{x^4 (8 c-d x^3)} \, dx\)
  3.3.29 \(\int \frac {(c+d x^3)^{3/2}}{x^7 (8 c-d x^3)} \, dx\)
  3.3.30 \(\int \frac {x^{11}}{(8 c-d x^3) \sqrt {c+d x^3}} \, dx\)
  3.3.31 \(\int \frac {x^8}{(8 c-d x^3) \sqrt {c+d x^3}} \, dx\)
  3.3.32 \(\int \frac {x^5}{(8 c-d x^3) \sqrt {c+d x^3}} \, dx\)
  3.3.33 \(\int \frac {x^2}{(8 c-d x^3) \sqrt {c+d x^3}} \, dx\)
  3.3.34 \(\int \frac {1}{x (8 c-d x^3) \sqrt {c+d x^3}} \, dx\)
  3.3.35 \(\int \frac {1}{x^4 (8 c-d x^3) \sqrt {c+d x^3}} \, dx\)
  3.3.36 \(\int \frac {1}{x^7 (8 c-d x^3) \sqrt {c+d x^3}} \, dx\)
  3.3.37 \(\int \frac {x}{(8 c-d x^3) \sqrt {c+d x^3}} \, dx\)
  3.3.38 \(\int \frac {x^{11}}{(8 c-d x^3) (c+d x^3)^{3/2}} \, dx\)
  3.3.39 \(\int \frac {x^8}{(8 c-d x^3) (c+d x^3)^{3/2}} \, dx\)
  3.3.40 \(\int \frac {x^5}{(8 c-d x^3) (c+d x^3)^{3/2}} \, dx\)
  3.3.41 \(\int \frac {x^2}{(8 c-d x^3) (c+d x^3)^{3/2}} \, dx\)
  3.3.42 \(\int \frac {1}{x (8 c-d x^3) (c+d x^3)^{3/2}} \, dx\)
  3.3.43 \(\int \frac {1}{x^4 (8 c-d x^3) (c+d x^3)^{3/2}} \, dx\)
  3.3.44 \(\int \frac {1}{x^7 (8 c-d x^3) (c+d x^3)^{3/2}} \, dx\)
  3.3.45 \(\int \frac {x}{\sqrt {a+b x^3} (2 (5+3 \sqrt {3}) a+b x^3)} \, dx\)
  3.3.46 \(\int \frac {x}{\sqrt {a-b x^3} (2 (5+3 \sqrt {3}) a-b x^3)} \, dx\)
  3.3.47 \(\int \frac {x}{\sqrt {-a+b x^3} (-2 (5+3 \sqrt {3}) a+b x^3)} \, dx\)
  3.3.48 \(\int \frac {x}{\sqrt {-a-b x^3} (-2 (5+3 \sqrt {3}) a-b x^3)} \, dx\)
  3.3.49 \(\int \frac {x}{\sqrt {a+b x^3} (2 (5-3 \sqrt {3}) a+b x^3)} \, dx\)
  3.3.50 \(\int \frac {x}{\sqrt {a-b x^3} (2 (5-3 \sqrt {3}) a-b x^3)} \, dx\)
  3.3.51 \(\int \frac {x}{(2 (5-3 \sqrt {3}) a-b x^3) \sqrt {-a+b x^3}} \, dx\)
  3.3.52 \(\int \frac {x}{\sqrt {-a-b x^3} (2 (5-3 \sqrt {3}) a+b x^3)} \, dx\)
  3.3.53 \(\int \frac {x^8 \sqrt {c+d x^3}}{a+b x^3} \, dx\)
  3.3.54 \(\int \frac {x^5 \sqrt {c+d x^3}}{a+b x^3} \, dx\)
  3.3.55 \(\int \frac {x^2 \sqrt {c+d x^3}}{a+b x^3} \, dx\)
  3.3.56 \(\int \frac {\sqrt {c+d x^3}}{x (a+b x^3)} \, dx\)
  3.3.57 \(\int \frac {\sqrt {c+d x^3}}{x^4 (a+b x^3)} \, dx\)
  3.3.58 \(\int \frac {x^8 (c+d x^3)^{3/2}}{a+b x^3} \, dx\)
  3.3.59 \(\int \frac {x^5 (c+d x^3)^{3/2}}{a+b x^3} \, dx\)
  3.3.60 \(\int \frac {x^2 (c+d x^3)^{3/2}}{a+b x^3} \, dx\)
  3.3.61 \(\int \frac {(c+d x^3)^{3/2}}{x (a+b x^3)} \, dx\)
  3.3.62 \(\int \frac {(c+d x^3)^{3/2}}{x^4 (a+b x^3)} \, dx\)
  3.3.63 \(\int \frac {x^8}{(a+b x^3) \sqrt {c+d x^3}} \, dx\)
  3.3.64 \(\int \frac {x^5}{(a+b x^3) \sqrt {c+d x^3}} \, dx\)
  3.3.65 \(\int \frac {x^2}{(a+b x^3) \sqrt {c+d x^3}} \, dx\)
  3.3.66 \(\int \frac {1}{x (a+b x^3) \sqrt {c+d x^3}} \, dx\)
  3.3.67 \(\int \frac {1}{x^4 (a+b x^3) \sqrt {c+d x^3}} \, dx\)
  3.3.68 \(\int \frac {x^8}{(a+b x^3) (c+d x^3)^{3/2}} \, dx\)
  3.3.69 \(\int \frac {x^5}{(a+b x^3) (c+d x^3)^{3/2}} \, dx\)
  3.3.70 \(\int \frac {x^2}{(a+b x^3) (c+d x^3)^{3/2}} \, dx\)
  3.3.71 \(\int \frac {1}{x (a+b x^3) (c+d x^3)^{3/2}} \, dx\)
  3.3.72 \(\int \frac {1}{x^4 (a+b x^3) (c+d x^3)^{3/2}} \, dx\)
  3.3.73 \(\int \frac {x^{11} \sqrt {c+d x^3}}{(8 c-d x^3)^2} \, dx\)
  3.3.74 \(\int \frac {x^8 \sqrt {c+d x^3}}{(8 c-d x^3)^2} \, dx\)
  3.3.75 \(\int \frac {x^5 \sqrt {c+d x^3}}{(8 c-d x^3)^2} \, dx\)
  3.3.76 \(\int \frac {x^2 \sqrt {c+d x^3}}{(8 c-d x^3)^2} \, dx\)
  3.3.77 \(\int \frac {\sqrt {c+d x^3}}{x (8 c-d x^3)^2} \, dx\)
  3.3.78 \(\int \frac {\sqrt {c+d x^3}}{x^4 (8 c-d x^3)^2} \, dx\)
  3.3.79 \(\int \frac {\sqrt {c+d x^3}}{x^7 (8 c-d x^3)^2} \, dx\)
  3.3.80 \(\int \frac {x^{11} (c+d x^3)^{3/2}}{(8 c-d x^3)^2} \, dx\)
  3.3.81 \(\int \frac {x^8 (c+d x^3)^{3/2}}{(8 c-d x^3)^2} \, dx\)
  3.3.82 \(\int \frac {x^5 (c+d x^3)^{3/2}}{(8 c-d x^3)^2} \, dx\)
  3.3.83 \(\int \frac {x^2 (c+d x^3)^{3/2}}{(8 c-d x^3)^2} \, dx\)
  3.3.84 \(\int \frac {(c+d x^3)^{3/2}}{x (8 c-d x^3)^2} \, dx\)
  3.3.85 \(\int \frac {(c+d x^3)^{3/2}}{x^4 (8 c-d x^3)^2} \, dx\)
  3.3.86 \(\int \frac {(c+d x^3)^{3/2}}{x^7 (8 c-d x^3)^2} \, dx\)
  3.3.87 \(\int \frac {x^{11}}{(8 c-d x^3)^2 \sqrt {c+d x^3}} \, dx\)
  3.3.88 \(\int \frac {x^8}{(8 c-d x^3)^2 \sqrt {c+d x^3}} \, dx\)
  3.3.89 \(\int \frac {x^5}{(8 c-d x^3)^2 \sqrt {c+d x^3}} \, dx\)
  3.3.90 \(\int \frac {x^2}{(8 c-d x^3)^2 \sqrt {c+d x^3}} \, dx\)
  3.3.91 \(\int \frac {1}{x (8 c-d x^3)^2 \sqrt {c+d x^3}} \, dx\)
  3.3.92 \(\int \frac {1}{x^4 (8 c-d x^3)^2 \sqrt {c+d x^3}} \, dx\)
  3.3.93 \(\int \frac {1}{x^7 (8 c-d x^3)^2 \sqrt {c+d x^3}} \, dx\)
  3.3.94 \(\int \frac {x^{11}}{(8 c-d x^3)^2 (c+d x^3)^{3/2}} \, dx\)
  3.3.95 \(\int \frac {x^8}{(8 c-d x^3)^2 (c+d x^3)^{3/2}} \, dx\)
  3.3.96 \(\int \frac {x^5}{(8 c-d x^3)^2 (c+d x^3)^{3/2}} \, dx\)
  3.3.97 \(\int \frac {x^2}{(8 c-d x^3)^2 (c+d x^3)^{3/2}} \, dx\)
  3.3.98 \(\int \frac {1}{x (8 c-d x^3)^2 (c+d x^3)^{3/2}} \, dx\)
  3.3.99 \(\int \frac {1}{x^4 (8 c-d x^3)^2 (c+d x^3)^{3/2}} \, dx\)
  3.3.100 \(\int \frac {1}{x^7 (8 c-d x^3)^2 (c+d x^3)^{3/2}} \, dx\)