3.9.1 \(\int \frac {(a+b x)^2}{x^4 (c x^2)^{3/2}} \, dx\)
  3.9.2 \(\int \frac {x^3 (a+b x)^2}{(c x^2)^{5/2}} \, dx\)
  3.9.3 \(\int \frac {x^2 (a+b x)^2}{(c x^2)^{5/2}} \, dx\)
  3.9.4 \(\int \frac {x (a+b x)^2}{(c x^2)^{5/2}} \, dx\)
  3.9.5 \(\int \frac {(a+b x)^2}{(c x^2)^{5/2}} \, dx\)
  3.9.6 \(\int \frac {(a+b x)^2}{x (c x^2)^{5/2}} \, dx\)
  3.9.7 \(\int \frac {(a+b x)^2}{x^2 (c x^2)^{5/2}} \, dx\)
  3.9.8 \(\int \frac {(a+b x)^2}{x^3 (c x^2)^{5/2}} \, dx\)
  3.9.9 \(\int \frac {(a+b x)^2}{x^4 (c x^2)^{5/2}} \, dx\)
  3.9.10 \(\int \frac {x^3 \sqrt {c x^2}}{a+b x} \, dx\)
  3.9.11 \(\int \frac {x^2 \sqrt {c x^2}}{a+b x} \, dx\)
  3.9.12 \(\int \frac {x \sqrt {c x^2}}{a+b x} \, dx\)
  3.9.13 \(\int \frac {\sqrt {c x^2}}{a+b x} \, dx\)
  3.9.14 \(\int \frac {\sqrt {c x^2}}{x (a+b x)} \, dx\)
  3.9.15 \(\int \frac {\sqrt {c x^2}}{x^2 (a+b x)} \, dx\)
  3.9.16 \(\int \frac {\sqrt {c x^2}}{x^3 (a+b x)} \, dx\)
  3.9.17 \(\int \frac {\sqrt {c x^2}}{x^4 (a+b x)} \, dx\)
  3.9.18 \(\int \frac {x (c x^2)^{3/2}}{a+b x} \, dx\)
  3.9.19 \(\int \frac {(c x^2)^{3/2}}{a+b x} \, dx\)
  3.9.20 \(\int \frac {(c x^2)^{3/2}}{x (a+b x)} \, dx\)
  3.9.21 \(\int \frac {(c x^2)^{3/2}}{x^2 (a+b x)} \, dx\)
  3.9.22 \(\int \frac {(c x^2)^{3/2}}{x^3 (a+b x)} \, dx\)
  3.9.23 \(\int \frac {(c x^2)^{3/2}}{x^4 (a+b x)} \, dx\)
  3.9.24 \(\int \frac {(c x^2)^{3/2}}{x^5 (a+b x)} \, dx\)
  3.9.25 \(\int \frac {(c x^2)^{3/2}}{x^6 (a+b x)} \, dx\)
  3.9.26 \(\int \frac {(c x^2)^{3/2}}{x^7 (a+b x)} \, dx\)
  3.9.27 \(\int \frac {(c x^2)^{5/2}}{a+b x} \, dx\)
  3.9.28 \(\int \frac {(c x^2)^{5/2}}{x (a+b x)} \, dx\)
  3.9.29 \(\int \frac {(c x^2)^{5/2}}{x^2 (a+b x)} \, dx\)
  3.9.30 \(\int \frac {(c x^2)^{5/2}}{x^3 (a+b x)} \, dx\)
  3.9.31 \(\int \frac {(c x^2)^{5/2}}{x^4 (a+b x)} \, dx\)
  3.9.32 \(\int \frac {(c x^2)^{5/2}}{x^5 (a+b x)} \, dx\)
  3.9.33 \(\int \frac {(c x^2)^{5/2}}{x^6 (a+b x)} \, dx\)
  3.9.34 \(\int \frac {(c x^2)^{5/2}}{x^7 (a+b x)} \, dx\)
  3.9.35 \(\int \frac {x^4}{\sqrt {c x^2} (a+b x)} \, dx\)
  3.9.36 \(\int \frac {x^3}{\sqrt {c x^2} (a+b x)} \, dx\)
  3.9.37 \(\int \frac {x^2}{\sqrt {c x^2} (a+b x)} \, dx\)
  3.9.38 \(\int \frac {x}{\sqrt {c x^2} (a+b x)} \, dx\)
  3.9.39 \(\int \frac {1}{\sqrt {c x^2} (a+b x)} \, dx\)
  3.9.40 \(\int \frac {1}{x \sqrt {c x^2} (a+b x)} \, dx\)
  3.9.41 \(\int \frac {1}{x^2 \sqrt {c x^2} (a+b x)} \, dx\)
  3.9.42 \(\int \frac {1}{x^3 \sqrt {c x^2} (a+b x)} \, dx\)
  3.9.43 \(\int \frac {x^6}{(c x^2)^{3/2} (a+b x)} \, dx\)
  3.9.44 \(\int \frac {x^5}{(c x^2)^{3/2} (a+b x)} \, dx\)
  3.9.45 \(\int \frac {x^4}{(c x^2)^{3/2} (a+b x)} \, dx\)
  3.9.46 \(\int \frac {x^3}{(c x^2)^{3/2} (a+b x)} \, dx\)
  3.9.47 \(\int \frac {x^2}{(c x^2)^{3/2} (a+b x)} \, dx\)
  3.9.48 \(\int \frac {x}{(c x^2)^{3/2} (a+b x)} \, dx\)
  3.9.49 \(\int \frac {1}{(c x^2)^{3/2} (a+b x)} \, dx\)
  3.9.50 \(\int \frac {1}{x (c x^2)^{3/2} (a+b x)} \, dx\)
  3.9.51 \(\int \frac {x^3 \sqrt {c x^2}}{(a+b x)^2} \, dx\)
  3.9.52 \(\int \frac {x^2 \sqrt {c x^2}}{(a+b x)^2} \, dx\)
  3.9.53 \(\int \frac {x \sqrt {c x^2}}{(a+b x)^2} \, dx\)
  3.9.54 \(\int \frac {\sqrt {c x^2}}{(a+b x)^2} \, dx\)
  3.9.55 \(\int \frac {\sqrt {c x^2}}{x (a+b x)^2} \, dx\)
  3.9.56 \(\int \frac {\sqrt {c x^2}}{x^2 (a+b x)^2} \, dx\)
  3.9.57 \(\int \frac {\sqrt {c x^2}}{x^3 (a+b x)^2} \, dx\)
  3.9.58 \(\int \frac {\sqrt {c x^2}}{x^4 (a+b x)^2} \, dx\)
  3.9.59 \(\int \frac {x (c x^2)^{3/2}}{(a+b x)^2} \, dx\)
  3.9.60 \(\int \frac {(c x^2)^{3/2}}{(a+b x)^2} \, dx\)
  3.9.61 \(\int \frac {(c x^2)^{3/2}}{x (a+b x)^2} \, dx\)
  3.9.62 \(\int \frac {(c x^2)^{3/2}}{x^2 (a+b x)^2} \, dx\)
  3.9.63 \(\int \frac {(c x^2)^{3/2}}{x^3 (a+b x)^2} \, dx\)
  3.9.64 \(\int \frac {(c x^2)^{3/2}}{x^4 (a+b x)^2} \, dx\)
  3.9.65 \(\int \frac {(c x^2)^{3/2}}{x^5 (a+b x)^2} \, dx\)
  3.9.66 \(\int \frac {(c x^2)^{3/2}}{x^6 (a+b x)^2} \, dx\)
  3.9.67 \(\int \frac {x^5}{\sqrt {c x^2} (a+b x)^2} \, dx\)
  3.9.68 \(\int \frac {x^4}{\sqrt {c x^2} (a+b x)^2} \, dx\)
  3.9.69 \(\int \frac {x^3}{\sqrt {c x^2} (a+b x)^2} \, dx\)
  3.9.70 \(\int \frac {x^2}{\sqrt {c x^2} (a+b x)^2} \, dx\)
  3.9.71 \(\int \frac {x}{\sqrt {c x^2} (a+b x)^2} \, dx\)
  3.9.72 \(\int \frac {1}{\sqrt {c x^2} (a+b x)^2} \, dx\)
  3.9.73 \(\int \frac {1}{x \sqrt {c x^2} (a+b x)^2} \, dx\)
  3.9.74 \(\int \frac {1}{x^2 \sqrt {c x^2} (a+b x)^2} \, dx\)
  3.9.75 \(\int \frac {x^5}{(c x^2)^{3/2} (a+b x)^2} \, dx\)
  3.9.76 \(\int \frac {x^4}{(c x^2)^{3/2} (a+b x)^2} \, dx\)
  3.9.77 \(\int \frac {x^3}{(c x^2)^{3/2} (a+b x)^2} \, dx\)
  3.9.78 \(\int \frac {x^2}{(c x^2)^{3/2} (a+b x)^2} \, dx\)
  3.9.79 \(\int \frac {x}{(c x^2)^{3/2} (a+b x)^2} \, dx\)
  3.9.80 \(\int \frac {1}{(c x^2)^{3/2} (a+b x)^2} \, dx\)
  3.9.81 \(\int x^2 \sqrt {c x^2} (a+b x)^n \, dx\)
  3.9.82 \(\int x \sqrt {c x^2} (a+b x)^n \, dx\)
  3.9.83 \(\int \sqrt {c x^2} (a+b x)^n \, dx\)
  3.9.84 \(\int \frac {\sqrt {c x^2} (a+b x)^n}{x} \, dx\)
  3.9.85 \(\int x (c x^2)^{3/2} (a+b x)^n \, dx\)
  3.9.86 \(\int (c x^2)^{3/2} (a+b x)^n \, dx\)
  3.9.87 \(\int \frac {(c x^2)^{3/2} (a+b x)^n}{x} \, dx\)
  3.9.88 \(\int \frac {(c x^2)^{3/2} (a+b x)^n}{x^2} \, dx\)
  3.9.89 \(\int \frac {(c x^2)^{3/2} (a+b x)^n}{x^3} \, dx\)
  3.9.90 \(\int (c x^2)^{5/2} (a+b x)^n \, dx\)
  3.9.91 \(\int \frac {(c x^2)^{5/2} (a+b x)^n}{x} \, dx\)
  3.9.92 \(\int \frac {(c x^2)^{5/2} (a+b x)^n}{x^2} \, dx\)
  3.9.93 \(\int \frac {(c x^2)^{5/2} (a+b x)^n}{x^3} \, dx\)
  3.9.94 \(\int \frac {(c x^2)^{5/2} (a+b x)^n}{x^4} \, dx\)
  3.9.95 \(\int \frac {(c x^2)^{5/2} (a+b x)^n}{x^5} \, dx\)
  3.9.96 \(\int \frac {x^4 (a+b x)^n}{\sqrt {c x^2}} \, dx\)
  3.9.97 \(\int \frac {x^3 (a+b x)^n}{\sqrt {c x^2}} \, dx\)
  3.9.98 \(\int \frac {x^2 (a+b x)^n}{\sqrt {c x^2}} \, dx\)
  3.9.99 \(\int \frac {x (a+b x)^n}{\sqrt {c x^2}} \, dx\)
  3.9.100 \(\int \frac {x^6 (a+b x)^n}{(c x^2)^{3/2}} \, dx\)