3.1.1 \(\int (a+b x) (c+d x) (e+f x) (g+h x) \, dx\)
  3.1.2 \(\int \frac {(a+b x) (c+d x) (e+f x)}{g+h x} \, dx\)
  3.1.3 \(\int \frac {(a+b x) (c+d x)}{(e+f x) (g+h x)} \, dx\)
  3.1.4 \(\int \frac {a+b x}{(c+d x) (e+f x) (g+h x)} \, dx\)
  3.1.5 \(\int \frac {1}{(a+b x) (c+d x) (e+f x) (g+h x)} \, dx\)
  3.1.6 \(\int \frac {x}{(1+x) (2+x) (3+x)} \, dx\)
  3.1.7 \(\int \frac {-x^2+x^3}{(-6+x) (3+5 x)^3} \, dx\)
  3.1.8 \(\int \frac {(a+b x)^3 \sqrt {c+d x} (e+f x)}{x} \, dx\)
  3.1.9 \(\int \frac {(a+b x)^2 \sqrt {c+d x} (e+f x)}{x} \, dx\)
  3.1.10 \(\int \frac {(a+b x) \sqrt {c+d x} (e+f x)}{x} \, dx\)
  3.1.11 \(\int \frac {\sqrt {c+d x} (e+f x)}{x} \, dx\)
  3.1.12 \(\int \frac {\sqrt {c+d x} (e+f x)}{x (a+b x)} \, dx\)
  3.1.13 \(\int \frac {\sqrt {c+d x} (e+f x)}{x (a+b x)^2} \, dx\)
  3.1.14 \(\int \frac {\sqrt {c+d x} (e+f x)}{x (a+b x)^3} \, dx\)
  3.1.15 \(\int \frac {\sqrt {a+b x} (c+d x)^3 (e+f x)}{x} \, dx\)
  3.1.16 \(\int \frac {\sqrt {a+b x} (c+d x)^2 (e+f x)}{x} \, dx\)
  3.1.17 \(\int \frac {\sqrt {a+b x} (c+d x) (e+f x)}{x} \, dx\)
  3.1.18 \(\int \frac {\sqrt {a+b x} (e+f x)}{x} \, dx\)
  3.1.19 \(\int \frac {\sqrt {a+b x} (e+f x)}{x (c+d x)} \, dx\)
  3.1.20 \(\int \frac {\sqrt {a+b x} (e+f x)}{x (c+d x)^2} \, dx\)
  3.1.21 \(\int \frac {\sqrt {a+b x} (e+f x)}{x (c+d x)^3} \, dx\)
  3.1.22 \(\int \frac {x^3 (1+a x)}{\sqrt {a x} \sqrt {1-a x}} \, dx\)
  3.1.23 \(\int \frac {x^2 (1+a x)}{\sqrt {a x} \sqrt {1-a x}} \, dx\)
  3.1.24 \(\int \frac {x (1+a x)}{\sqrt {a x} \sqrt {1-a x}} \, dx\)
  3.1.25 \(\int \frac {1+a x}{\sqrt {a x} \sqrt {1-a x}} \, dx\)
  3.1.26 \(\int \frac {1+a x}{x \sqrt {a x} \sqrt {1-a x}} \, dx\)
  3.1.27 \(\int \frac {1+a x}{x^2 \sqrt {a x} \sqrt {1-a x}} \, dx\)
  3.1.28 \(\int \frac {1+a x}{x^3 \sqrt {a x} \sqrt {1-a x}} \, dx\)
  3.1.29 \(\int \frac {1+a x}{x^4 \sqrt {a x} \sqrt {1-a x}} \, dx\)
  3.1.30 \(\int \frac {1+a x}{x^5 \sqrt {a x} \sqrt {1-a x}} \, dx\)
  3.1.31 \(\int \frac {-1+2 a x}{\sqrt {-1+x} x^2 \sqrt {1+x}} \, dx\)
  3.1.32 \(\int \frac {a^2 x^2-(1-a x)^2}{\sqrt {-1+x} x^2 \sqrt {1+x}} \, dx\)
  3.1.33 \(\int (a+b x)^m (c+d x) (e+f x) (g+h x) \, dx\)
  3.1.34 \(\int (a+b x)^m (c+d x)^{-4-m} (e+f x) (g+h x) \, dx\)
  3.1.35 \(\int (a+b x)^m (c+d x)^{-5-m} (e+f x) (g+h x) \, dx\)
  3.1.36 \(\int (a+b x) (c+d x)^{-4-m} (e+f x)^m (g+h x) \, dx\)
  3.1.37 \(\int (c+d x)^{-4-m} (e+f x)^m (g+h x) \, dx\)
  3.1.38 \(\int \frac {x (a+b x+c x^2)}{\sqrt {1-d x} \sqrt {1+d x}} \, dx\)
  3.1.39 \(\int \frac {a+b x+c x^2}{\sqrt {1-d x} \sqrt {1+d x}} \, dx\)
  3.1.40 \(\int \frac {a+b x+c x^2}{x \sqrt {1-d x} \sqrt {1+d x}} \, dx\)
  3.1.41 \(\int \frac {a+b x+c x^2}{x^2 \sqrt {1-d x} \sqrt {1+d x}} \, dx\)
  3.1.42 \(\int \frac {a+b x+c x^2}{x^3 \sqrt {1-d x} \sqrt {1+d x}} \, dx\)
  3.1.43 \(\int \frac {x (a+b x+c x^2)}{\sqrt {-1+d x} \sqrt {1+d x}} \, dx\)
  3.1.44 \(\int \frac {a+b x+c x^2}{\sqrt {-1+d x} \sqrt {1+d x}} \, dx\)
  3.1.45 \(\int \frac {a+b x+c x^2}{x \sqrt {-1+d x} \sqrt {1+d x}} \, dx\)
  3.1.46 \(\int \frac {a+b x+c x^2}{x^2 \sqrt {-1+d x} \sqrt {1+d x}} \, dx\)
  3.1.47 \(\int \frac {a+b x+c x^2}{x^3 \sqrt {-1+d x} \sqrt {1+d x}} \, dx\)
  3.1.48 \(\int \frac {a+b x+c x^2}{x^4 \sqrt {-1+d x} \sqrt {1+d x}} \, dx\)