3.8.1 \(\int x^m (a+b x)^3 \, dx\)
  3.8.2 \(\int x^m (a+b x)^2 \, dx\)
  3.8.3 \(\int x^m (a+b x) \, dx\)
  3.8.4 \(\int x^3 (a+b x)^n \, dx\)
  3.8.5 \(\int x^2 (a+b x)^n \, dx\)
  3.8.6 \(\int x (a+b x)^n \, dx\)
  3.8.7 \(\int (a+b x)^n \, dx\)
  3.8.8 \(\int x^{-4+n} (a+b x)^{-n} \, dx\)
  3.8.9 \(\int x^{-3+n} (a+b x)^{-n} \, dx\)
  3.8.10 \(\int x^{-2+n} (a+b x)^{-n} \, dx\)
  3.8.11 \(\int x^{-1+n} (a+b x)^{-1-n} \, dx\)
  3.8.12 \(\int x^{-3-n} (a+b x)^n \, dx\)
  3.8.13 \(\int x^{2 n-3 (1+n)} (a+b x)^n \, dx\)
  3.8.14 \(\int x^3 \sqrt {c x^2} (a+b x) \, dx\)
  3.8.15 \(\int x^2 \sqrt {c x^2} (a+b x) \, dx\)
  3.8.16 \(\int x \sqrt {c x^2} (a+b x) \, dx\)
  3.8.17 \(\int \sqrt {c x^2} (a+b x) \, dx\)
  3.8.18 \(\int \frac {\sqrt {c x^2} (a+b x)}{x} \, dx\)
  3.8.19 \(\int \frac {\sqrt {c x^2} (a+b x)}{x^2} \, dx\)
  3.8.20 \(\int \frac {\sqrt {c x^2} (a+b x)}{x^3} \, dx\)
  3.8.21 \(\int \frac {\sqrt {c x^2} (a+b x)}{x^4} \, dx\)
  3.8.22 \(\int x^3 (c x^2)^{3/2} (a+b x) \, dx\)
  3.8.23 \(\int x^2 (c x^2)^{3/2} (a+b x) \, dx\)
  3.8.24 \(\int x (c x^2)^{3/2} (a+b x) \, dx\)
  3.8.25 \(\int (c x^2)^{3/2} (a+b x) \, dx\)
  3.8.26 \(\int \frac {(c x^2)^{3/2} (a+b x)}{x} \, dx\)
  3.8.27 \(\int \frac {(c x^2)^{3/2} (a+b x)}{x^2} \, dx\)
  3.8.28 \(\int \frac {(c x^2)^{3/2} (a+b x)}{x^3} \, dx\)
  3.8.29 \(\int \frac {(c x^2)^{3/2} (a+b x)}{x^4} \, dx\)
  3.8.30 \(\int x^3 (c x^2)^{5/2} (a+b x) \, dx\)
  3.8.31 \(\int x^2 (c x^2)^{5/2} (a+b x) \, dx\)
  3.8.32 \(\int x (c x^2)^{5/2} (a+b x) \, dx\)
  3.8.33 \(\int (c x^2)^{5/2} (a+b x) \, dx\)
  3.8.34 \(\int \frac {(c x^2)^{5/2} (a+b x)}{x} \, dx\)
  3.8.35 \(\int \frac {(c x^2)^{5/2} (a+b x)}{x^2} \, dx\)
  3.8.36 \(\int \frac {(c x^2)^{5/2} (a+b x)}{x^3} \, dx\)
  3.8.37 \(\int \frac {(c x^2)^{5/2} (a+b x)}{x^4} \, dx\)
  3.8.38 \(\int \frac {x^3 (a+b x)}{\sqrt {c x^2}} \, dx\)
  3.8.39 \(\int \frac {x^2 (a+b x)}{\sqrt {c x^2}} \, dx\)
  3.8.40 \(\int \frac {x (a+b x)}{\sqrt {c x^2}} \, dx\)
  3.8.41 \(\int \frac {a+b x}{\sqrt {c x^2}} \, dx\)
  3.8.42 \(\int \frac {a+b x}{x \sqrt {c x^2}} \, dx\)
  3.8.43 \(\int \frac {a+b x}{x^2 \sqrt {c x^2}} \, dx\)
  3.8.44 \(\int \frac {a+b x}{x^3 \sqrt {c x^2}} \, dx\)
  3.8.45 \(\int \frac {a+b x}{x^4 \sqrt {c x^2}} \, dx\)
  3.8.46 \(\int \frac {x^3 (a+b x)}{(c x^2)^{3/2}} \, dx\)
  3.8.47 \(\int \frac {x^2 (a+b x)}{(c x^2)^{3/2}} \, dx\)
  3.8.48 \(\int \frac {x (a+b x)}{(c x^2)^{3/2}} \, dx\)
  3.8.49 \(\int \frac {a+b x}{(c x^2)^{3/2}} \, dx\)
  3.8.50 \(\int \frac {a+b x}{x (c x^2)^{3/2}} \, dx\)
  3.8.51 \(\int \frac {a+b x}{x^2 (c x^2)^{3/2}} \, dx\)
  3.8.52 \(\int \frac {a+b x}{x^3 (c x^2)^{3/2}} \, dx\)
  3.8.53 \(\int \frac {a+b x}{x^4 (c x^2)^{3/2}} \, dx\)
  3.8.54 \(\int \frac {x^3 (a+b x)}{(c x^2)^{5/2}} \, dx\)
  3.8.55 \(\int \frac {x^2 (a+b x)}{(c x^2)^{5/2}} \, dx\)
  3.8.56 \(\int \frac {x (a+b x)}{(c x^2)^{5/2}} \, dx\)
  3.8.57 \(\int \frac {a+b x}{(c x^2)^{5/2}} \, dx\)
  3.8.58 \(\int \frac {a+b x}{x (c x^2)^{5/2}} \, dx\)
  3.8.59 \(\int \frac {a+b x}{x^2 (c x^2)^{5/2}} \, dx\)
  3.8.60 \(\int \frac {a+b x}{x^3 (c x^2)^{5/2}} \, dx\)
  3.8.61 \(\int \frac {a+b x}{x^4 (c x^2)^{5/2}} \, dx\)
  3.8.62 \(\int x^3 \sqrt {c x^2} (a+b x)^2 \, dx\)
  3.8.63 \(\int x^2 \sqrt {c x^2} (a+b x)^2 \, dx\)
  3.8.64 \(\int x \sqrt {c x^2} (a+b x)^2 \, dx\)
  3.8.65 \(\int \sqrt {c x^2} (a+b x)^2 \, dx\)
  3.8.66 \(\int \frac {\sqrt {c x^2} (a+b x)^2}{x} \, dx\)
  3.8.67 \(\int \frac {\sqrt {c x^2} (a+b x)^2}{x^2} \, dx\)
  3.8.68 \(\int \frac {\sqrt {c x^2} (a+b x)^2}{x^3} \, dx\)
  3.8.69 \(\int \frac {\sqrt {c x^2} (a+b x)^2}{x^4} \, dx\)
  3.8.70 \(\int x^3 (c x^2)^{3/2} (a+b x)^2 \, dx\)
  3.8.71 \(\int x^2 (c x^2)^{3/2} (a+b x)^2 \, dx\)
  3.8.72 \(\int x (c x^2)^{3/2} (a+b x)^2 \, dx\)
  3.8.73 \(\int (c x^2)^{3/2} (a+b x)^2 \, dx\)
  3.8.74 \(\int \frac {(c x^2)^{3/2} (a+b x)^2}{x} \, dx\)
  3.8.75 \(\int \frac {(c x^2)^{3/2} (a+b x)^2}{x^2} \, dx\)
  3.8.76 \(\int \frac {(c x^2)^{3/2} (a+b x)^2}{x^3} \, dx\)
  3.8.77 \(\int \frac {(c x^2)^{3/2} (a+b x)^2}{x^4} \, dx\)
  3.8.78 \(\int x (c x^2)^{5/2} (a+b x)^2 \, dx\)
  3.8.79 \(\int (c x^2)^{5/2} (a+b x)^2 \, dx\)
  3.8.80 \(\int \frac {(c x^2)^{5/2} (a+b x)^2}{x} \, dx\)
  3.8.81 \(\int \frac {(c x^2)^{5/2} (a+b x)^2}{x^2} \, dx\)
  3.8.82 \(\int \frac {(c x^2)^{5/2} (a+b x)^2}{x^3} \, dx\)
  3.8.83 \(\int \frac {(c x^2)^{5/2} (a+b x)^2}{x^4} \, dx\)
  3.8.84 \(\int \frac {(c x^2)^{5/2} (a+b x)^2}{x^5} \, dx\)
  3.8.85 \(\int \frac {(c x^2)^{5/2} (a+b x)^2}{x^6} \, dx\)
  3.8.86 \(\int \frac {x^3 (a+b x)^2}{\sqrt {c x^2}} \, dx\)
  3.8.87 \(\int \frac {x^2 (a+b x)^2}{\sqrt {c x^2}} \, dx\)
  3.8.88 \(\int \frac {x (a+b x)^2}{\sqrt {c x^2}} \, dx\)
  3.8.89 \(\int \frac {(a+b x)^2}{\sqrt {c x^2}} \, dx\)
  3.8.90 \(\int \frac {(a+b x)^2}{x \sqrt {c x^2}} \, dx\)
  3.8.91 \(\int \frac {(a+b x)^2}{x^2 \sqrt {c x^2}} \, dx\)
  3.8.92 \(\int \frac {(a+b x)^2}{x^3 \sqrt {c x^2}} \, dx\)
  3.8.93 \(\int \frac {(a+b x)^2}{x^4 \sqrt {c x^2}} \, dx\)
  3.8.94 \(\int \frac {x^3 (a+b x)^2}{(c x^2)^{3/2}} \, dx\)
  3.8.95 \(\int \frac {x^2 (a+b x)^2}{(c x^2)^{3/2}} \, dx\)
  3.8.96 \(\int \frac {x (a+b x)^2}{(c x^2)^{3/2}} \, dx\)
  3.8.97 \(\int \frac {(a+b x)^2}{(c x^2)^{3/2}} \, dx\)
  3.8.98 \(\int \frac {(a+b x)^2}{x (c x^2)^{3/2}} \, dx\)
  3.8.99 \(\int \frac {(a+b x)^2}{x^2 (c x^2)^{3/2}} \, dx\)
  3.8.100 \(\int \frac {(a+b x)^2}{x^3 (c x^2)^{3/2}} \, dx\)