3.21.1 \(\int \frac {(a+b x^n)^{5/2}}{x} \, dx\)
  3.21.2 \(\int \frac {1}{x \sqrt {a+b x^n}} \, dx\)
  3.21.3 \(\int \frac {1}{x (a+b x^n)^{3/2}} \, dx\)
  3.21.4 \(\int \frac {1}{x (a+b x^n)^{5/2}} \, dx\)
  3.21.5 \(\int \frac {\sqrt [3]{a+b x^n}}{x} \, dx\)
  3.21.6 \(\int x^{-1+4 n} (a+b x^n) \, dx\)
  3.21.7 \(\int x^{-1+3 n} (a+b x^n) \, dx\)
  3.21.8 \(\int x^{-1+2 n} (a+b x^n) \, dx\)
  3.21.9 \(\int x^{-1+n} (a+b x^n) \, dx\)
  3.21.10 \(\int \frac {a+b x^n}{x} \, dx\)
  3.21.11 \(\int x^{-1-n} (a+b x^n) \, dx\)
  3.21.12 \(\int x^{-1-2 n} (a+b x^n) \, dx\)
  3.21.13 \(\int x^{-1-3 n} (a+b x^n) \, dx\)
  3.21.14 \(\int x^{-1-4 n} (a+b x^n) \, dx\)
  3.21.15 \(\int x^{-1-5 n} (a+b x^n) \, dx\)
  3.21.16 \(\int x^{-1+4 n} (a+b x^n)^2 \, dx\)
  3.21.17 \(\int x^{-1+3 n} (a+b x^n)^2 \, dx\)
  3.21.18 \(\int x^{-1+2 n} (a+b x^n)^2 \, dx\)
  3.21.19 \(\int x^{-1+n} (a+b x^n)^2 \, dx\)
  3.21.20 \(\int \frac {(a+b x^n)^2}{x} \, dx\)
  3.21.21 \(\int x^{-1-n} (a+b x^n)^2 \, dx\)
  3.21.22 \(\int x^{-1-2 n} (a+b x^n)^2 \, dx\)
  3.21.23 \(\int x^{-1-3 n} (a+b x^n)^2 \, dx\)
  3.21.24 \(\int x^{-1-4 n} (a+b x^n)^2 \, dx\)
  3.21.25 \(\int x^{-1-5 n} (a+b x^n)^2 \, dx\)
  3.21.26 \(\int x^{-1-6 n} (a+b x^n)^2 \, dx\)
  3.21.27 \(\int x^{-1+4 n} (a+b x^n)^3 \, dx\)
  3.21.28 \(\int x^{-1+3 n} (a+b x^n)^3 \, dx\)
  3.21.29 \(\int x^{-1+2 n} (a+b x^n)^3 \, dx\)
  3.21.30 \(\int x^{-1+n} (a+b x^n)^3 \, dx\)
  3.21.31 \(\int \frac {(a+b x^n)^3}{x} \, dx\)
  3.21.32 \(\int x^{-1-n} (a+b x^n)^3 \, dx\)
  3.21.33 \(\int x^{-1-2 n} (a+b x^n)^3 \, dx\)
  3.21.34 \(\int x^{-1-3 n} (a+b x^n)^3 \, dx\)
  3.21.35 \(\int x^{-1-4 n} (a+b x^n)^3 \, dx\)
  3.21.36 \(\int x^{-1-5 n} (a+b x^n)^3 \, dx\)
  3.21.37 \(\int x^{-1-6 n} (a+b x^n)^3 \, dx\)
  3.21.38 \(\int x^{-1-7 n} (a+b x^n)^3 \, dx\)
  3.21.39 \(\int x^{-1+4 n} (a+b x^n)^5 \, dx\)
  3.21.40 \(\int x^{-1+3 n} (a+b x^n)^5 \, dx\)
  3.21.41 \(\int x^{-1+2 n} (a+b x^n)^5 \, dx\)
  3.21.42 \(\int x^{-1+n} (a+b x^n)^5 \, dx\)
  3.21.43 \(\int \frac {(a+b x^n)^5}{x} \, dx\)
  3.21.44 \(\int x^{-1-n} (a+b x^n)^5 \, dx\)
  3.21.45 \(\int x^{-1-2 n} (a+b x^n)^5 \, dx\)
  3.21.46 \(\int x^{-1-3 n} (a+b x^n)^5 \, dx\)
  3.21.47 \(\int x^{-1-4 n} (a+b x^n)^5 \, dx\)
  3.21.48 \(\int x^{-1-5 n} (a+b x^n)^5 \, dx\)
  3.21.49 \(\int x^{-1-6 n} (a+b x^n)^5 \, dx\)
  3.21.50 \(\int x^{-1-7 n} (a+b x^n)^5 \, dx\)
  3.21.51 \(\int x^{-1-8 n} (a+b x^n)^5 \, dx\)
  3.21.52 \(\int x^{-1-9 n} (a+b x^n)^5 \, dx\)
  3.21.53 \(\int x^{-1-10 n} (a+b x^n)^5 \, dx\)
  3.21.54 \(\int x^{-1+9 n} (a+b x^n)^8 \, dx\)
  3.21.55 \(\int x^{-1+8 n} (a+b x^n)^8 \, dx\)
  3.21.56 \(\int x^{-1+7 n} (a+b x^n)^8 \, dx\)
  3.21.57 \(\int x^{-1+6 n} (a+b x^n)^8 \, dx\)
  3.21.58 \(\int x^{-1+5 n} (a+b x^n)^8 \, dx\)
  3.21.59 \(\int x^{-1+4 n} (a+b x^n)^8 \, dx\)
  3.21.60 \(\int x^{-1+3 n} (a+b x^n)^8 \, dx\)
  3.21.61 \(\int x^{-1+2 n} (a+b x^n)^8 \, dx\)
  3.21.62 \(\int x^{-1+n} (a+b x^n)^8 \, dx\)
  3.21.63 \(\int \frac {(a+b x^n)^8}{x} \, dx\)
  3.21.64 \(\int x^{-1-n} (a+b x^n)^8 \, dx\)
  3.21.65 \(\int x^{-1-2 n} (a+b x^n)^8 \, dx\)
  3.21.66 \(\int x^{-1-3 n} (a+b x^n)^8 \, dx\)
  3.21.67 \(\int x^{-1-4 n} (a+b x^n)^8 \, dx\)
  3.21.68 \(\int x^{-1-5 n} (a+b x^n)^8 \, dx\)
  3.21.69 \(\int x^{-1-6 n} (a+b x^n)^8 \, dx\)
  3.21.70 \(\int x^{-1-7 n} (a+b x^n)^8 \, dx\)
  3.21.71 \(\int x^{-1-8 n} (a+b x^n)^8 \, dx\)
  3.21.72 \(\int x^{-1-9 n} (a+b x^n)^8 \, dx\)
  3.21.73 \(\int x^{-1-10 n} (a+b x^n)^8 \, dx\)
  3.21.74 \(\int x^{-1-11 n} (a+b x^n)^8 \, dx\)
  3.21.75 \(\int x^{-1-12 n} (a+b x^n)^8 \, dx\)
  3.21.76 \(\int x^{-1-13 n} (a+b x^n)^8 \, dx\)
  3.21.77 \(\int x^{-1-14 n} (a+b x^n)^8 \, dx\)
  3.21.78 \(\int x^{-1-15 n} (a+b x^n)^8 \, dx\)
  3.21.79 \(\int x^{-1+n} (a+b x^n)^{16} \, dx\)
  3.21.80 \(\int x^{12} (a+b x^{13})^{12} \, dx\)
  3.21.81 \(\int x^{24} (a+b x^{25})^{12} \, dx\)
  3.21.82 \(\int x^{36} (a+b x^{37})^{12} \, dx\)
  3.21.83 \(\int x^{12 m} (a+b x^{1+12 m})^{12} \, dx\)
  3.21.84 \(\int x^{12+12 (-1+m)} (a+b x^{1+12 m})^{12} \, dx\)
  3.21.85 \(\int \frac {x^{-1+5 n}}{a+b x^n} \, dx\)
  3.21.86 \(\int \frac {x^{-1+4 n}}{a+b x^n} \, dx\)
  3.21.87 \(\int \frac {x^{-1+3 n}}{a+b x^n} \, dx\)
  3.21.88 \(\int \frac {x^{-1+2 n}}{a+b x^n} \, dx\)
  3.21.89 \(\int \frac {x^{-1+n}}{a+b x^n} \, dx\)
  3.21.90 \(\int \frac {1}{x (a+b x^n)} \, dx\)
  3.21.91 \(\int \frac {x^{-1-n}}{a+b x^n} \, dx\)
  3.21.92 \(\int \frac {x^{-1-2 n}}{a+b x^n} \, dx\)
  3.21.93 \(\int \frac {x^{-1-3 n}}{a+b x^n} \, dx\)
  3.21.94 \(\int \frac {x^{4+5 (-1+n)}}{a+b x^n} \, dx\)
  3.21.95 \(\int \frac {x^{3+4 (-1+n)}}{a+b x^n} \, dx\)
  3.21.96 \(\int \frac {x^{2+3 (-1+n)}}{a+b x^n} \, dx\)
  3.21.97 \(\int \frac {x^{1+2 (-1+n)}}{a+b x^n} \, dx\)
  3.21.98 \(\int \frac {x^{-1+n}}{a+b x^n} \, dx\)
  3.21.99 \(\int \frac {1}{x (a+b x^n)} \, dx\)
  3.21.100 \(\int \frac {x^{-1-n}}{a+b x^n} \, dx\)