3.13.1 \(\int \frac {(a+\frac {b}{x})^8}{x^2} \, dx\)
  3.13.2 \(\int \frac {(a+\frac {b}{x})^8}{x^3} \, dx\)
  3.13.3 \(\int \frac {(a+\frac {b}{x})^8}{x^4} \, dx\)
  3.13.4 \(\int \frac {(a+\frac {b}{x})^8}{x^5} \, dx\)
  3.13.5 \(\int \frac {(a+\frac {b}{x})^8}{x^6} \, dx\)
  3.13.6 \(\int \frac {(a+\frac {b}{x})^8}{x^7} \, dx\)
  3.13.7 \(\int \frac {(a+\frac {b}{x})^8}{x^8} \, dx\)
  3.13.8 \(\int \frac {x^4}{a+\frac {b}{x}} \, dx\)
  3.13.9 \(\int \frac {x^3}{a+\frac {b}{x}} \, dx\)
  3.13.10 \(\int \frac {x^2}{a+\frac {b}{x}} \, dx\)
  3.13.11 \(\int \frac {x}{a+\frac {b}{x}} \, dx\)
  3.13.12 \(\int \frac {1}{a+\frac {b}{x}} \, dx\)
  3.13.13 \(\int \frac {1}{(a+\frac {b}{x}) x} \, dx\)
  3.13.14 \(\int \frac {1}{(a+\frac {b}{x}) x^2} \, dx\)
  3.13.15 \(\int \frac {1}{(a+\frac {b}{x}) x^3} \, dx\)
  3.13.16 \(\int \frac {1}{(a+\frac {b}{x}) x^4} \, dx\)
  3.13.17 \(\int \frac {1}{(a+\frac {b}{x}) x^5} \, dx\)
  3.13.18 \(\int \frac {1}{(a+\frac {b}{x}) x^6} \, dx\)
  3.13.19 \(\int \frac {1}{(a+\frac {b}{x}) x^7} \, dx\)
  3.13.20 \(\int \frac {x^5}{(a+\frac {b}{x})^2} \, dx\)
  3.13.21 \(\int \frac {x^4}{(a+\frac {b}{x})^2} \, dx\)
  3.13.22 \(\int \frac {x^3}{(a+\frac {b}{x})^2} \, dx\)
  3.13.23 \(\int \frac {x^2}{(a+\frac {b}{x})^2} \, dx\)
  3.13.24 \(\int \frac {x}{(a+\frac {b}{x})^2} \, dx\)
  3.13.25 \(\int \frac {1}{(a+\frac {b}{x})^2} \, dx\)
  3.13.26 \(\int \frac {1}{(a+\frac {b}{x})^2 x} \, dx\)
  3.13.27 \(\int \frac {1}{(a+\frac {b}{x})^2 x^2} \, dx\)
  3.13.28 \(\int \frac {1}{(a+\frac {b}{x})^2 x^3} \, dx\)
  3.13.29 \(\int \frac {1}{(a+\frac {b}{x})^2 x^4} \, dx\)
  3.13.30 \(\int \frac {1}{(a+\frac {b}{x})^2 x^5} \, dx\)
  3.13.31 \(\int \frac {1}{(a+\frac {b}{x})^2 x^6} \, dx\)
  3.13.32 \(\int \frac {1}{(a+\frac {b}{x})^2 x^7} \, dx\)
  3.13.33 \(\int \frac {1}{(a+\frac {b}{x})^2 x^8} \, dx\)
  3.13.34 \(\int \frac {x^4}{(a+\frac {b}{x})^3} \, dx\)
  3.13.35 \(\int \frac {x^3}{(a+\frac {b}{x})^3} \, dx\)
  3.13.36 \(\int \frac {x^2}{(a+\frac {b}{x})^3} \, dx\)
  3.13.37 \(\int \frac {x}{(a+\frac {b}{x})^3} \, dx\)
  3.13.38 \(\int \frac {1}{(a+\frac {b}{x})^3} \, dx\)
  3.13.39 \(\int \frac {1}{(a+\frac {b}{x})^3 x} \, dx\)
  3.13.40 \(\int \frac {1}{(a+\frac {b}{x})^3 x^2} \, dx\)
  3.13.41 \(\int \frac {1}{(a+\frac {b}{x})^3 x^3} \, dx\)
  3.13.42 \(\int \frac {1}{(a+\frac {b}{x})^3 x^4} \, dx\)
  3.13.43 \(\int \frac {1}{(a+\frac {b}{x})^3 x^5} \, dx\)
  3.13.44 \(\int \frac {1}{(a+\frac {b}{x})^3 x^6} \, dx\)
  3.13.45 \(\int \frac {1}{(a+\frac {b}{x})^3 x^7} \, dx\)
  3.13.46 \(\int \frac {1}{(a+\frac {b}{x})^3 x^8} \, dx\)
  3.13.47 \(\int \frac {1}{(a+\frac {b}{x})^3 x^9} \, dx\)
  3.13.48 \(\int (a+\frac {b}{x}) x^{5/2} \, dx\)
  3.13.49 \(\int (a+\frac {b}{x}) x^{3/2} \, dx\)
  3.13.50 \(\int (a+\frac {b}{x}) \sqrt {x} \, dx\)
  3.13.51 \(\int \frac {a+\frac {b}{x}}{\sqrt {x}} \, dx\)
  3.13.52 \(\int \frac {a+\frac {b}{x}}{x^{3/2}} \, dx\)
  3.13.53 \(\int \frac {a+\frac {b}{x}}{x^{5/2}} \, dx\)
  3.13.54 \(\int (a+\frac {b}{x})^2 x^{5/2} \, dx\)
  3.13.55 \(\int (a+\frac {b}{x})^2 x^{3/2} \, dx\)
  3.13.56 \(\int (a+\frac {b}{x})^2 \sqrt {x} \, dx\)
  3.13.57 \(\int \frac {(a+\frac {b}{x})^2}{\sqrt {x}} \, dx\)
  3.13.58 \(\int \frac {(a+\frac {b}{x})^2}{x^{3/2}} \, dx\)
  3.13.59 \(\int \frac {(a+\frac {b}{x})^2}{x^{5/2}} \, dx\)
  3.13.60 \(\int (a+\frac {b}{x})^3 x^{5/2} \, dx\)
  3.13.61 \(\int (a+\frac {b}{x})^3 x^{3/2} \, dx\)
  3.13.62 \(\int (a+\frac {b}{x})^3 \sqrt {x} \, dx\)
  3.13.63 \(\int \frac {(a+\frac {b}{x})^3}{\sqrt {x}} \, dx\)
  3.13.64 \(\int \frac {(a+\frac {b}{x})^3}{x^{3/2}} \, dx\)
  3.13.65 \(\int \frac {(a+\frac {b}{x})^3}{x^{5/2}} \, dx\)
  3.13.66 \(\int \frac {x^{5/2}}{a+\frac {b}{x}} \, dx\)
  3.13.67 \(\int \frac {x^{3/2}}{a+\frac {b}{x}} \, dx\)
  3.13.68 \(\int \frac {\sqrt {x}}{a+\frac {b}{x}} \, dx\)
  3.13.69 \(\int \frac {1}{(a+\frac {b}{x}) \sqrt {x}} \, dx\)
  3.13.70 \(\int \frac {1}{(a+\frac {b}{x}) x^{3/2}} \, dx\)
  3.13.71 \(\int \frac {1}{(a+\frac {b}{x}) x^{5/2}} \, dx\)
  3.13.72 \(\int \frac {1}{(a+\frac {b}{x}) x^{7/2}} \, dx\)
  3.13.73 \(\int \frac {1}{(a+\frac {b}{x}) x^{9/2}} \, dx\)
  3.13.74 \(\int \frac {x^{5/2}}{(a+\frac {b}{x})^2} \, dx\)
  3.13.75 \(\int \frac {x^{3/2}}{(a+\frac {b}{x})^2} \, dx\)
  3.13.76 \(\int \frac {\sqrt {x}}{(a+\frac {b}{x})^2} \, dx\)
  3.13.77 \(\int \frac {1}{(a+\frac {b}{x})^2 \sqrt {x}} \, dx\)
  3.13.78 \(\int \frac {1}{(a+\frac {b}{x})^2 x^{3/2}} \, dx\)
  3.13.79 \(\int \frac {1}{(a+\frac {b}{x})^2 x^{5/2}} \, dx\)
  3.13.80 \(\int \frac {1}{(a+\frac {b}{x})^2 x^{7/2}} \, dx\)
  3.13.81 \(\int \frac {1}{(a+\frac {b}{x})^2 x^{9/2}} \, dx\)
  3.13.82 \(\int \frac {1}{(a+\frac {b}{x})^2 x^{11/2}} \, dx\)
  3.13.83 \(\int \frac {x^{3/2}}{(a+\frac {b}{x})^3} \, dx\)
  3.13.84 \(\int \frac {\sqrt {x}}{(a+\frac {b}{x})^3} \, dx\)
  3.13.85 \(\int \frac {1}{(a+\frac {b}{x})^3 \sqrt {x}} \, dx\)
  3.13.86 \(\int \frac {1}{(a+\frac {b}{x})^3 x^{3/2}} \, dx\)
  3.13.87 \(\int \frac {1}{(a+\frac {b}{x})^3 x^{5/2}} \, dx\)
  3.13.88 \(\int \frac {1}{(a+\frac {b}{x})^3 x^{7/2}} \, dx\)
  3.13.89 \(\int \frac {1}{(a+\frac {b}{x})^3 x^{9/2}} \, dx\)
  3.13.90 \(\int \frac {1}{(a+\frac {b}{x})^3 x^{11/2}} \, dx\)
  3.13.91 \(\int \frac {1}{(a+\frac {b}{x})^3 x^{13/2}} \, dx\)
  3.13.92 \(\int \sqrt {a+\frac {b}{x}} x^3 \, dx\)
  3.13.93 \(\int \sqrt {a+\frac {b}{x}} x^2 \, dx\)
  3.13.94 \(\int \sqrt {a+\frac {b}{x}} x \, dx\)
  3.13.95 \(\int \sqrt {a+\frac {b}{x}} \, dx\)
  3.13.96 \(\int \frac {\sqrt {a+\frac {b}{x}}}{x} \, dx\)
  3.13.97 \(\int \frac {\sqrt {a+\frac {b}{x}}}{x^2} \, dx\)
  3.13.98 \(\int \frac {\sqrt {a+\frac {b}{x}}}{x^3} \, dx\)
  3.13.99 \(\int \frac {\sqrt {a+\frac {b}{x}}}{x^4} \, dx\)
  3.13.100 \(\int \frac {\sqrt {a+\frac {b}{x}}}{x^5} \, dx\)