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