3.10.1 \(\int \frac {x^5 (a+b x)^n}{(c x^2)^{3/2}} \, dx\)
  3.10.2 \(\int \frac {x^4 (a+b x)^n}{(c x^2)^{3/2}} \, dx\)
  3.10.3 \(\int \frac {x^3 (a+b x)^n}{(c x^2)^{3/2}} \, dx\)
  3.10.4 \(\int \frac {x^8 (a+b x)^n}{(c x^2)^{5/2}} \, dx\)
  3.10.5 \(\int \frac {x^7 (a+b x)^n}{(c x^2)^{5/2}} \, dx\)
  3.10.6 \(\int \frac {x^6 (a+b x)^n}{(c x^2)^{5/2}} \, dx\)
  3.10.7 \(\int \frac {x^5 (a+b x)^n}{(c x^2)^{5/2}} \, dx\)
  3.10.8 \(\int (d x)^m (c x^2)^{5/2} (a+b x) \, dx\)
  3.10.9 \(\int (d x)^m (c x^2)^{3/2} (a+b x) \, dx\)
  3.10.10 \(\int (d x)^m \sqrt {c x^2} (a+b x) \, dx\)
  3.10.11 \(\int \frac {(d x)^m (a+b x)}{\sqrt {c x^2}} \, dx\)
  3.10.12 \(\int \frac {(d x)^m (a+b x)}{(c x^2)^{3/2}} \, dx\)
  3.10.13 \(\int \frac {(d x)^m (a+b x)}{(c x^2)^{5/2}} \, dx\)
  3.10.14 \(\int (d x)^m (c x^2)^{5/2} (a+b x)^2 \, dx\)
  3.10.15 \(\int (d x)^m (c x^2)^{3/2} (a+b x)^2 \, dx\)
  3.10.16 \(\int (d x)^m \sqrt {c x^2} (a+b x)^2 \, dx\)
  3.10.17 \(\int \frac {(d x)^m (a+b x)^2}{\sqrt {c x^2}} \, dx\)
  3.10.18 \(\int \frac {(d x)^m (a+b x)^2}{(c x^2)^{3/2}} \, dx\)
  3.10.19 \(\int \frac {(d x)^m (a+b x)^2}{(c x^2)^{5/2}} \, dx\)
  3.10.20 \(\int x^3 (c x^2)^p (a+b x)^{-5-2 p} \, dx\)
  3.10.21 \(\int x^2 (c x^2)^p (a+b x)^{-4-2 p} \, dx\)
  3.10.22 \(\int x (c x^2)^p (a+b x)^{-3-2 p} \, dx\)
  3.10.23 \(\int (c x^2)^p (a+b x)^{-2-2 p} \, dx\)
  3.10.24 \(\int \frac {(c x^2)^p (a+b x)^{-1-2 p}}{x} \, dx\)
  3.10.25 \(\int \frac {(c x^2)^p (a+b x)^{-2 p}}{x^2} \, dx\)
  3.10.26 \(\int \frac {(c x^2)^p (a+b x)^{1-2 p}}{x^3} \, dx\)
  3.10.27 \(\int \frac {(c x^2)^p (a+b x)^{2-2 p}}{x^4} \, dx\)
  3.10.28 \(\int x^m (c x^2)^p (a+b x)^{-2-m-2 p} \, dx\)
  3.10.29 \(\int (d x)^m (c x^2)^p (a+b x)^{-2-m-2 p} \, dx\)
  3.10.30 \(\int \frac {(a+b x)^5}{(\frac {a d}{b}+d x)^3} \, dx\)
  3.10.31 \(\int \frac {(a+b x)^4}{(\frac {a d}{b}+d x)^3} \, dx\)
  3.10.32 \(\int \frac {(a+b x)^3}{(\frac {a d}{b}+d x)^3} \, dx\)
  3.10.33 \(\int \frac {(a+b x)^2}{(\frac {a d}{b}+d x)^3} \, dx\)
  3.10.34 \(\int \frac {a+b x}{(\frac {a d}{b}+d x)^3} \, dx\)
  3.10.35 \(\int \frac {1}{(a+b x) (\frac {a d}{b}+d x)^3} \, dx\)
  3.10.36 \(\int \frac {1}{(a+b x)^2 (\frac {a d}{b}+d x)^3} \, dx\)
  3.10.37 \(\int \frac {1}{(a+b x)^3 (\frac {a d}{b}+d x)^3} \, dx\)
  3.10.38 \(\int \frac {(\frac {b c}{d}+b x)^5}{(c+d x)^3} \, dx\)
  3.10.39 \(\int \frac {(\frac {b c}{d}+b x)^4}{(c+d x)^3} \, dx\)
  3.10.40 \(\int \frac {(\frac {b c}{d}+b x)^3}{(c+d x)^3} \, dx\)
  3.10.41 \(\int \frac {(\frac {b c}{d}+b x)^2}{(c+d x)^3} \, dx\)
  3.10.42 \(\int \frac {\frac {b c}{d}+b x}{(c+d x)^3} \, dx\)
  3.10.43 \(\int \frac {1}{(\frac {b c}{d}+b x) (c+d x)^3} \, dx\)
  3.10.44 \(\int \frac {1}{(\frac {b c}{d}+b x)^2 (c+d x)^3} \, dx\)
  3.10.45 \(\int \frac {1}{(\frac {b c}{d}+b x)^3 (c+d x)^3} \, dx\)
  3.10.46 \(\int (a+b x)^5 (a c+b c x)^n \, dx\)
  3.10.47 \(\int (a+b x)^5 (a c+b c x)^3 \, dx\)
  3.10.48 \(\int (a+b x)^5 (a c+b c x)^2 \, dx\)
  3.10.49 \(\int (a+b x)^5 (a c+b c x) \, dx\)
  3.10.50 \(\int \frac {(a+b x)^5}{a c+b c x} \, dx\)
  3.10.51 \(\int \frac {(a+b x)^5}{(a c+b c x)^2} \, dx\)
  3.10.52 \(\int \frac {(a+b x)^5}{(a c+b c x)^3} \, dx\)
  3.10.53 \(\int \frac {(a+b x)^5}{(a c+b c x)^4} \, dx\)
  3.10.54 \(\int \frac {(a+b x)^5}{(a c+b c x)^5} \, dx\)
  3.10.55 \(\int \frac {(a+b x)^5}{(a c+b c x)^6} \, dx\)
  3.10.56 \(\int \frac {(a+b x)^5}{(a c+b c x)^7} \, dx\)
  3.10.57 \(\int \frac {(a+b x)^5}{(a c+b c x)^8} \, dx\)
  3.10.58 \(\int \frac {1}{\sqrt {-2-3 x} \sqrt {2+3 x}} \, dx\)
  3.10.59 \(\int (a+b x) (a c-b c x)^3 \, dx\)
  3.10.60 \(\int (a+b x) (a c-b c x)^2 \, dx\)
  3.10.61 \(\int (a+b x) (a c-b c x) \, dx\)
  3.10.62 \(\int (a+b x) \, dx\)
  3.10.63 \(\int \frac {a+b x}{a c-b c x} \, dx\)
  3.10.64 \(\int \frac {a+b x}{(a c-b c x)^2} \, dx\)
  3.10.65 \(\int \frac {a+b x}{(a c-b c x)^3} \, dx\)
  3.10.66 \(\int \frac {a+b x}{(a c-b c x)^4} \, dx\)
  3.10.67 \(\int \frac {a+b x}{(a c-b c x)^5} \, dx\)
  3.10.68 \(\int \frac {a+b x}{(a c-b c x)^6} \, dx\)
  3.10.69 \(\int (a+b x)^2 (a c-b c x)^3 \, dx\)
  3.10.70 \(\int (a+b x)^2 (a c-b c x)^2 \, dx\)
  3.10.71 \(\int (a+b x)^2 (a c-b c x) \, dx\)
  3.10.72 \(\int (a+b x)^2 \, dx\)
  3.10.73 \(\int \frac {(a+b x)^2}{a c-b c x} \, dx\)
  3.10.74 \(\int \frac {(a+b x)^2}{(a c-b c x)^2} \, dx\)
  3.10.75 \(\int \frac {(a+b x)^2}{(a c-b c x)^3} \, dx\)
  3.10.76 \(\int \frac {(a+b x)^2}{(a c-b c x)^4} \, dx\)
  3.10.77 \(\int \frac {(a+b x)^2}{(a c-b c x)^5} \, dx\)
  3.10.78 \(\int \frac {(a+b x)^2}{(a c-b c x)^6} \, dx\)
  3.10.79 \(\int \frac {(a+b x)^2}{(a c-b c x)^7} \, dx\)
  3.10.80 \(\int \frac {(a c-b c x)^3}{a+b x} \, dx\)
  3.10.81 \(\int \frac {(a c-b c x)^2}{a+b x} \, dx\)
  3.10.82 \(\int \frac {a c-b c x}{a+b x} \, dx\)
  3.10.83 \(\int \frac {1}{a+b x} \, dx\)
  3.10.84 \(\int \frac {1}{(a+b x) (a c-b c x)} \, dx\)
  3.10.85 \(\int \frac {1}{(a+b x) (a c-b c x)^2} \, dx\)
  3.10.86 \(\int \frac {1}{(a+b x) (a c-b c x)^3} \, dx\)
  3.10.87 \(\int \frac {(a c-b c x)^3}{(a+b x)^2} \, dx\)
  3.10.88 \(\int \frac {(a c-b c x)^2}{(a+b x)^2} \, dx\)
  3.10.89 \(\int \frac {a c-b c x}{(a+b x)^2} \, dx\)
  3.10.90 \(\int \frac {1}{(a+b x)^2} \, dx\)
  3.10.91 \(\int \frac {1}{(a+b x)^2 (a c-b c x)} \, dx\)
  3.10.92 \(\int \frac {1}{(a+b x)^2 (a c-b c x)^2} \, dx\)
  3.10.93 \(\int \frac {1}{(a+b x)^2 (a c-b c x)^3} \, dx\)
  3.10.94 \(\int (1-x)^{9/2} \sqrt {1+x} \, dx\)
  3.10.95 \(\int (1-x)^{7/2} \sqrt {1+x} \, dx\)
  3.10.96 \(\int (1-x)^{5/2} \sqrt {1+x} \, dx\)
  3.10.97 \(\int (1-x)^{3/2} \sqrt {1+x} \, dx\)
  3.10.98 \(\int \sqrt {1-x} \sqrt {1+x} \, dx\)
  3.10.99 \(\int \frac {\sqrt {1+x}}{\sqrt {1-x}} \, dx\)
  3.10.100 \(\int \frac {\sqrt {1+x}}{(1-x)^{3/2}} \, dx\)