3.22.1 \(\int \frac {x^{-3-2 (-1+n)}}{a+b x^n} \, dx\)
  3.22.2 \(\int \frac {x^{-4-3 (-1+n)}}{a+b x^n} \, dx\)
  3.22.3 \(\int \frac {x^{-1+5 n}}{2+b x^n} \, dx\)
  3.22.4 \(\int \frac {x^{-1+4 n}}{2+b x^n} \, dx\)
  3.22.5 \(\int \frac {x^{-1+3 n}}{2+b x^n} \, dx\)
  3.22.6 \(\int \frac {x^{-1+2 n}}{2+b x^n} \, dx\)
  3.22.7 \(\int \frac {x^{-1+n}}{2+b x^n} \, dx\)
  3.22.8 \(\int \frac {1}{x (2+b x^n)} \, dx\)
  3.22.9 \(\int \frac {x^{-1-n}}{2+b x^n} \, dx\)
  3.22.10 \(\int \frac {x^{-1-2 n}}{2+b x^n} \, dx\)
  3.22.11 \(\int \frac {x^{-1-3 n}}{2+b x^n} \, dx\)
  3.22.12 \(\int \frac {x^{-1+4 n}}{(a+b x^n)^2} \, dx\)
  3.22.13 \(\int \frac {x^{-1+3 n}}{(a+b x^n)^2} \, dx\)
  3.22.14 \(\int \frac {x^{-1+2 n}}{(a+b x^n)^2} \, dx\)
  3.22.15 \(\int \frac {x^{-1+n}}{(a+b x^n)^2} \, dx\)
  3.22.16 \(\int \frac {1}{x (a+b x^n)^2} \, dx\)
  3.22.17 \(\int \frac {x^{-1-n}}{(a+b x^n)^2} \, dx\)
  3.22.18 \(\int \frac {x^{-1-2 n}}{(a+b x^n)^2} \, dx\)
  3.22.19 \(\int \frac {x^{-1-3 n}}{(a+b x^n)^2} \, dx\)
  3.22.20 \(\int \frac {x^{-1+4 n}}{(a+b x^n)^3} \, dx\)
  3.22.21 \(\int \frac {x^{-1+3 n}}{(a+b x^n)^3} \, dx\)
  3.22.22 \(\int \frac {x^{-1+2 n}}{(a+b x^n)^3} \, dx\)
  3.22.23 \(\int \frac {x^{-1+n}}{(a+b x^n)^3} \, dx\)
  3.22.24 \(\int \frac {1}{x (a+b x^n)^3} \, dx\)
  3.22.25 \(\int \frac {x^{-1-n}}{(a+b x^n)^3} \, dx\)
  3.22.26 \(\int \frac {x^{-1-2 n}}{(a+b x^n)^3} \, dx\)
  3.22.27 \(\int \frac {x^{-1-\frac {n}{2}}}{a+b x^n} \, dx\)
  3.22.28 \(\int \frac {x^{-1-\frac {2 n}{3}}}{a+b x^n} \, dx\)
  3.22.29 \(\int \frac {x^{-1-\frac {3 n}{4}}}{a+b x^n} \, dx\)
  3.22.30 \(\int \frac {x^{-1-n}}{a+b x^n} \, dx\)
  3.22.31 \(\int \frac {x^{-1-\frac {n}{2}}}{a+b x^n} \, dx\)
  3.22.32 \(\int \frac {x^{-1-\frac {n}{3}}}{a+b x^n} \, dx\)
  3.22.33 \(\int \frac {x^{-1-\frac {n}{4}}}{a+b x^n} \, dx\)
  3.22.34 \(\int \frac {x^{-1-\frac {3 n}{2}}}{a+b x^n} \, dx\)
  3.22.35 \(\int \frac {x^{-1-\frac {4 n}{3}}}{a+b x^n} \, dx\)
  3.22.36 \(\int \frac {x^{-1-\frac {5 n}{4}}}{a+b x^n} \, dx\)
  3.22.37 \(\int x^{-1+4 n} \sqrt {a+b x^n} \, dx\)
  3.22.38 \(\int x^{-1+3 n} \sqrt {a+b x^n} \, dx\)
  3.22.39 \(\int x^{-1+2 n} \sqrt {a+b x^n} \, dx\)
  3.22.40 \(\int x^{-1+n} \sqrt {a+b x^n} \, dx\)
  3.22.41 \(\int \frac {\sqrt {a+b x^n}}{x} \, dx\)
  3.22.42 \(\int x^{-1-n} \sqrt {a+b x^n} \, dx\)
  3.22.43 \(\int x^{-1-2 n} \sqrt {a+b x^n} \, dx\)
  3.22.44 \(\int x^{-1-3 n} \sqrt {a+b x^n} \, dx\)
  3.22.45 \(\int x^{-1-4 n} \sqrt {a+b x^n} \, dx\)
  3.22.46 \(\int \frac {x^{-1+4 n}}{\sqrt {a+b x^n}} \, dx\)
  3.22.47 \(\int \frac {x^{-1+3 n}}{\sqrt {a+b x^n}} \, dx\)
  3.22.48 \(\int \frac {x^{-1+2 n}}{\sqrt {a+b x^n}} \, dx\)
  3.22.49 \(\int \frac {x^{-1+n}}{\sqrt {a+b x^n}} \, dx\)
  3.22.50 \(\int \frac {1}{x \sqrt {a+b x^n}} \, dx\)
  3.22.51 \(\int \frac {x^{-1-n}}{\sqrt {a+b x^n}} \, dx\)
  3.22.52 \(\int \frac {x^{-1-2 n}}{\sqrt {a+b x^n}} \, dx\)
  3.22.53 \(\int \frac {x^{-1-3 n}}{\sqrt {a+b x^n}} \, dx\)
  3.22.54 \(\int \frac {x^{-1-4 n}}{\sqrt {a+b x^n}} \, dx\)
  3.22.55 \(\int x^m (a+b x^n)^3 \, dx\)
  3.22.56 \(\int x^m (a+b x^n)^2 \, dx\)
  3.22.57 \(\int x^m (a+b x^n) \, dx\)
  3.22.58 \(\int (-\frac {b n x^{-1+m+n}}{2 (a+b x^n)^{3/2}}+\frac {m x^{-1+m}}{\sqrt {a+b x^n}}) \, dx\)
  3.22.59 \(\int \frac {x^{-1+\frac {7 n}{2}}}{\sqrt {a+b x^n}} \, dx\)
  3.22.60 \(\int \frac {x^{-1+\frac {5 n}{2}}}{\sqrt {a+b x^n}} \, dx\)
  3.22.61 \(\int \frac {x^{-1+\frac {3 n}{2}}}{\sqrt {a+b x^n}} \, dx\)
  3.22.62 \(\int \frac {x^{-1+\frac {n}{2}}}{\sqrt {a+b x^n}} \, dx\)
  3.22.63 \(\int \frac {x^{-1-\frac {n}{2}}}{\sqrt {a+b x^n}} \, dx\)
  3.22.64 \(\int \frac {x^{-1-\frac {3 n}{2}}}{\sqrt {a+b x^n}} \, dx\)
  3.22.65 \(\int \frac {x^{-1-\frac {5 n}{2}}}{\sqrt {a+b x^n}} \, dx\)
  3.22.66 \(\int \frac {x^{-1-\frac {7 n}{2}}}{\sqrt {a+b x^n}} \, dx\)
  3.22.67 \(\int (\frac {6 a x^2}{b (4+m) \sqrt {a+b x^{-2+m}}}+\frac {x^m}{\sqrt {a+b x^{-2+m}}}) \, dx\)
  3.22.68 \(\int \frac {x^{-1+m} (2 a m+b (2 m-n) x^n)}{2 (a+b x^n)^{3/2}} \, dx\)
  3.22.69 \(\int (-\frac {b n x^{-1+m+n}}{2 (a+b x^n)^{3/2}}+\frac {m x^{-1+m}}{\sqrt {a+b x^n}}) \, dx\)
  3.22.70 \(\int \frac {x^m}{\sqrt [3]{a+b x^{3 (1+m)}}} \, dx\)
  3.22.71 \(\int x^m (a+b x^{-\frac {3}{2} (1+m)})^{2/3} \, dx\)
  3.22.72 \(\int \frac {x^{-1+\frac {n}{3}}}{\sqrt [3]{a+b x^n}} \, dx\)
  3.22.73 \(\int x^{-1-\frac {2 n}{3}} (a+b x^n)^{2/3} \, dx\)
  3.22.74 \(\int (a+b x^n)^{-4-\frac {1}{n}} \, dx\)
  3.22.75 \(\int (a+b x^n)^{-3-\frac {1}{n}} \, dx\)
  3.22.76 \(\int (a+b x^n)^{-2-\frac {1}{n}} \, dx\)
  3.22.77 \(\int (a+b x^n)^{-1-\frac {1}{n}} \, dx\)
  3.22.78 \(\int x^m (b x^n)^p \, dx\)
  3.22.79 \(\int x^2 (b x^n)^p \, dx\)
  3.22.80 \(\int x (b x^n)^p \, dx\)
  3.22.81 \(\int (b x^n)^p \, dx\)
  3.22.82 \(\int \frac {(b x^n)^p}{x} \, dx\)
  3.22.83 \(\int \frac {(b x^n)^p}{x^2} \, dx\)
  3.22.84 \(\int \frac {(b x^n)^p}{x^3} \, dx\)
  3.22.85 \(\int \frac {(b x^n)^p}{x^4} \, dx\)
  3.22.86 \(\int x^{-1+n} (a+b x^n)^p \, dx\)
  3.22.87 \(\int x^{-1+2 n} (a+b x^n)^p \, dx\)
  3.22.88 \(\int x^{-1+3 n} (a+b x^n)^p \, dx\)
  3.22.89 \(\int x^{-1+4 n} (a+b x^n)^p \, dx\)
  3.22.90 \(\int x^{-1-n-n p} (a+b x^n)^p \, dx\)
  3.22.91 \(\int x^{-1-9 n} (a+b x^n)^8 \, dx\)
  3.22.92 \(\int x^{-4-3 p} (a+b x^3)^p \, dx\)
  3.22.93 \(\int \frac {(a+b x^3)^8}{x^{28}} \, dx\)
  3.22.94 \(\int \frac {1}{x (a+b x^n)} \, dx\)
  3.22.95 \(\int \frac {1}{x (a+b x^3)} \, dx\)
  3.22.96 \(\int (a+b x^n)^{-\frac {1+4 n}{n}} \, dx\)
  3.22.97 \(\int (a+b x^n)^{-\frac {1+3 n}{n}} \, dx\)
  3.22.98 \(\int (a+b x^n)^{-\frac {1+2 n}{n}} \, dx\)
  3.22.99 \(\int (a+b x^n)^{-\frac {1+n}{n}} \, dx\)
  3.22.100 \(\int \frac {1}{x (a+b x^{-n})} \, dx\)