3.9.1 \(\int \frac {(-a-b x)^{-n} (a+b x)^n}{x^3} \, dx\)
  3.9.2 \(\int x^{-m} (-a-b x)^{-n} (a+b x)^n \, dx\)
  3.9.3 \(\int \frac {x^3 \sqrt {1+x}}{(1-x)^{5/2}} \, dx\)
  3.9.4 \(\int \frac {x^2 \sqrt {1+x}}{(1-x)^{5/2}} \, dx\)
  3.9.5 \(\int \frac {x \sqrt {1+x}}{(1-x)^{5/2}} \, dx\)
  3.9.6 \(\int \frac {\sqrt {1+x}}{(1-x)^{5/2}} \, dx\)
  3.9.7 \(\int \frac {\sqrt {1+x}}{(-1+x)^{5/2}} \, dx\)
  3.9.8 \(\int \frac {\sqrt {1+x}}{(1-x)^{5/2} x} \, dx\)
  3.9.9 \(\int \frac {\sqrt {1+x}}{(1-x)^{5/2} x^2} \, dx\)
  3.9.10 \(\int \frac {\sqrt {1+x}}{(1-x)^{5/2} x^3} \, dx\)
  3.9.11 \(\int \frac {x^2}{\sqrt {-1+x} \sqrt {1+x}} \, dx\)
  3.9.12 \(\int \frac {x}{\sqrt {-1+x} \sqrt {1+x}} \, dx\)
  3.9.13 \(\int \frac {1}{\sqrt {-1+x} \sqrt {1+x}} \, dx\)
  3.9.14 \(\int \frac {1}{\sqrt {-1+x} x \sqrt {1+x}} \, dx\)
  3.9.15 \(\int \frac {1}{\sqrt {-1+x} x^2 \sqrt {1+x}} \, dx\)
  3.9.16 \(\int \sqrt {-1+x} x^2 \sqrt {1+x} \, dx\)
  3.9.17 \(\int \sqrt {-1+x} x \sqrt {1+x} \, dx\)
  3.9.18 \(\int \sqrt {-1+x} \sqrt {1+x} \, dx\)
  3.9.19 \(\int \frac {\sqrt {-1+x} \sqrt {1+x}}{x} \, dx\)
  3.9.20 \(\int \frac {\sqrt {-1+x} \sqrt {1+x}}{x^2} \, dx\)
  3.9.21 \(\int \frac {1}{\sqrt {1+2 x} \sqrt {3+2 x}} \, dx\)
  3.9.22 \(\int \frac {1}{x \sqrt {-2+3 x} \sqrt {3+5 x}} \, dx\)
  3.9.23 \(\int \frac {1}{(-1+x)^{3/2} x (1+x)^{3/2}} \, dx\)
  3.9.24 \(\int \sqrt {1-x} x \sqrt {1+x} \, dx\)
  3.9.25 \(\int x^3 (2+3 x)^{3/2} \sqrt {1+4 x} \, dx\)
  3.9.26 \(\int \frac {1}{\sqrt {-1+a+b x} \sqrt {1+a+b x}} \, dx\)
  3.9.27 \(\int \frac {1}{\sqrt [3]{1-x} \sqrt [3]{2-x} x} \, dx\)
  3.9.28 \(\int \frac {x^3 \sqrt [4]{a+b x}}{\sqrt [4]{c+d x}} \, dx\)
  3.9.29 \(\int \frac {x^2 \sqrt [4]{a+b x}}{\sqrt [4]{c+d x}} \, dx\)
  3.9.30 \(\int \frac {x \sqrt [4]{a+b x}}{\sqrt [4]{c+d x}} \, dx\)
  3.9.31 \(\int \frac {\sqrt [4]{a+b x}}{\sqrt [4]{c+d x}} \, dx\)
  3.9.32 \(\int \frac {\sqrt [4]{a+b x}}{x \sqrt [4]{c+d x}} \, dx\)
  3.9.33 \(\int \frac {\sqrt [4]{a+b x}}{x^2 \sqrt [4]{c+d x}} \, dx\)
  3.9.34 \(\int \frac {\sqrt [4]{a+b x}}{x^3 \sqrt [4]{c+d x}} \, dx\)
  3.9.35 \(\int \frac {\sqrt [4]{a+b x}}{x^4 \sqrt [4]{c+d x}} \, dx\)
  3.9.36 \(\int \frac {\sqrt [4]{a+b x}}{x^5 \sqrt [4]{c+d x}} \, dx\)
  3.9.37 \(\int \frac {x^2 \sqrt [4]{1+x}}{\sqrt [4]{1-x}} \, dx\)
  3.9.38 \(\int \frac {x \sqrt [4]{1+x}}{\sqrt [4]{1-x}} \, dx\)
  3.9.39 \(\int \frac {\sqrt [4]{1+x}}{\sqrt [4]{1-x}} \, dx\)
  3.9.40 \(\int \frac {\sqrt [4]{1+x}}{\sqrt [4]{1-x} x} \, dx\)
  3.9.41 \(\int \frac {\sqrt [4]{1+x}}{\sqrt [4]{1-x} x^2} \, dx\)
  3.9.42 \(\int \frac {\sqrt [4]{1+x}}{\sqrt [4]{1-x} x^3} \, dx\)
  3.9.43 \(\int \frac {\sqrt [4]{1+x}}{\sqrt [4]{1-x} x^4} \, dx\)
  3.9.44 \(\int \frac {\sqrt [4]{1+x}}{\sqrt [4]{1-x} x^5} \, dx\)
  3.9.45 \(\int \frac {x^3}{(a+b x)^{3/4} \sqrt [4]{c+d x}} \, dx\)
  3.9.46 \(\int \frac {x^2}{(a+b x)^{3/4} \sqrt [4]{c+d x}} \, dx\)
  3.9.47 \(\int \frac {x}{(a+b x)^{3/4} \sqrt [4]{c+d x}} \, dx\)
  3.9.48 \(\int \frac {1}{(a+b x)^{3/4} \sqrt [4]{c+d x}} \, dx\)
  3.9.49 \(\int \frac {1}{x (a+b x)^{3/4} \sqrt [4]{c+d x}} \, dx\)
  3.9.50 \(\int \frac {1}{x^2 (a+b x)^{3/4} \sqrt [4]{c+d x}} \, dx\)
  3.9.51 \(\int \frac {1}{x^3 (a+b x)^{3/4} \sqrt [4]{c+d x}} \, dx\)
  3.9.52 \(\int \frac {1}{x^4 (a+b x)^{3/4} \sqrt [4]{c+d x}} \, dx\)
  3.9.53 \(\int \frac {(e x)^{3/2}}{\sqrt [4]{1-x} \sqrt [4]{1+x}} \, dx\)
  3.9.54 \(\int \frac {1}{\sqrt [4]{1-x} \sqrt {e x} \sqrt [4]{1+x}} \, dx\)
  3.9.55 \(\int \frac {1}{\sqrt [4]{1-x} (e x)^{5/2} \sqrt [4]{1+x}} \, dx\)
  3.9.56 \(\int \frac {1}{\sqrt [4]{1-x} (e x)^{9/2} \sqrt [4]{1+x}} \, dx\)
  3.9.57 \(\int \frac {1}{\sqrt [4]{1-x} (e x)^{13/2} \sqrt [4]{1+x}} \, dx\)
  3.9.58 \(\int x^2 (a+b x)^n (c+d x) \, dx\)
  3.9.59 \(\int x (a+b x)^n (c+d x) \, dx\)
  3.9.60 \(\int (a+b x)^n (c+d x) \, dx\)
  3.9.61 \(\int x^2 (a+b x)^n (c+d x)^2 \, dx\)
  3.9.62 \(\int x (a+b x)^n (c+d x)^2 \, dx\)
  3.9.63 \(\int (a+b x)^n (c+d x)^2 \, dx\)
  3.9.64 \(\int x^2 (a+b x)^n (c+d x)^3 \, dx\)
  3.9.65 \(\int x (a+b x)^n (c+d x)^3 \, dx\)
  3.9.66 \(\int (a+b x)^n (c+d x)^3 \, dx\)
  3.9.67 \(\int x^{1+2 n} (a+b x)^n (2 a+3 b x) \, dx\)
  3.9.68 \(\int \frac {x^2}{(1-a x)^7 (1+a x)^4} \, dx\)
  3.9.69 \(\int \frac {x^2}{(1-a x)^{11} (1+a x)^7} \, dx\)
  3.9.70 \(\int \frac {x^2}{(1-a x)^{16} (1+a x)^{11}} \, dx\)
  3.9.71 \(\int x^2 (1-a x)^{-1-\frac {1}{2} n (1+n)} (1+a x)^{-1-\frac {1}{2} (-1+n) n} \, dx\)
  3.9.72 \(\int (a+b x) (A+B x) (d+e x)^4 \, dx\)
  3.9.73 \(\int (a+b x) (A+B x) (d+e x)^3 \, dx\)
  3.9.74 \(\int (a+b x) (A+B x) (d+e x)^2 \, dx\)
  3.9.75 \(\int (a+b x) (A+B x) (d+e x) \, dx\)
  3.9.76 \(\int (a+b x) (A+B x) \, dx\)
  3.9.77 \(\int \frac {(a+b x) (A+B x)}{d+e x} \, dx\)
  3.9.78 \(\int \frac {(a+b x) (A+B x)}{(d+e x)^2} \, dx\)
  3.9.79 \(\int \frac {(a+b x) (A+B x)}{(d+e x)^3} \, dx\)
  3.9.80 \(\int \frac {(a+b x) (A+B x)}{(d+e x)^4} \, dx\)
  3.9.81 \(\int \frac {(a+b x) (A+B x)}{(d+e x)^5} \, dx\)
  3.9.82 \(\int \frac {(a+b x) (A+B x)}{(d+e x)^6} \, dx\)
  3.9.83 \(\int (a+b x)^2 (A+B x) (d+e x)^4 \, dx\)
  3.9.84 \(\int (a+b x)^2 (A+B x) (d+e x)^3 \, dx\)
  3.9.85 \(\int (a+b x)^2 (A+B x) (d+e x)^2 \, dx\)
  3.9.86 \(\int (a+b x)^2 (A+B x) (d+e x) \, dx\)
  3.9.87 \(\int (a+b x)^2 (A+B x) \, dx\)
  3.9.88 \(\int \frac {(a+b x)^2 (A+B x)}{d+e x} \, dx\)
  3.9.89 \(\int \frac {(a+b x)^2 (A+B x)}{(d+e x)^2} \, dx\)
  3.9.90 \(\int \frac {(a+b x)^2 (A+B x)}{(d+e x)^3} \, dx\)
  3.9.91 \(\int \frac {(a+b x)^2 (A+B x)}{(d+e x)^4} \, dx\)
  3.9.92 \(\int \frac {(a+b x)^2 (A+B x)}{(d+e x)^5} \, dx\)
  3.9.93 \(\int \frac {(a+b x)^2 (A+B x)}{(d+e x)^6} \, dx\)
  3.9.94 \(\int \frac {(a+b x)^2 (A+B x)}{(d+e x)^7} \, dx\)
  3.9.95 \(\int \frac {(a+b x)^2 (A+B x)}{(d+e x)^8} \, dx\)
  3.9.96 \(\int (a+b x)^3 (A+B x) (d+e x)^5 \, dx\)
  3.9.97 \(\int (a+b x)^3 (A+B x) (d+e x)^4 \, dx\)
  3.9.98 \(\int (a+b x)^3 (A+B x) (d+e x)^3 \, dx\)
  3.9.99 \(\int (a+b x)^3 (A+B x) (d+e x)^2 \, dx\)
  3.9.100 \(\int (a+b x)^3 (A+B x) (d+e x) \, dx\)