3.13.1 \(\int \frac {(5-x) (2+3 x^2)^{3/2}}{(3+2 x)^3} \, dx\)
  3.13.2 \(\int \frac {(5-x) (2+3 x^2)^{3/2}}{(3+2 x)^4} \, dx\)
  3.13.3 \(\int \frac {(5-x) (2+3 x^2)^{3/2}}{(3+2 x)^5} \, dx\)
  3.13.4 \(\int \frac {(5-x) (2+3 x^2)^{3/2}}{(3+2 x)^6} \, dx\)
  3.13.5 \(\int \frac {(5-x) (2+3 x^2)^{3/2}}{(3+2 x)^7} \, dx\)
  3.13.6 \(\int \frac {(5-x) (2+3 x^2)^{3/2}}{(3+2 x)^8} \, dx\)
  3.13.7 \(\int (5-x) (3+2 x)^4 (2+3 x^2)^{5/2} \, dx\)
  3.13.8 \(\int (5-x) (3+2 x)^3 (2+3 x^2)^{5/2} \, dx\)
  3.13.9 \(\int (5-x) (3+2 x)^2 (2+3 x^2)^{5/2} \, dx\)
  3.13.10 \(\int (5-x) (3+2 x) (2+3 x^2)^{5/2} \, dx\)
  3.13.11 \(\int (5-x) (2+3 x^2)^{5/2} \, dx\)
  3.13.12 \(\int \frac {(5-x) (2+3 x^2)^{5/2}}{3+2 x} \, dx\)
  3.13.13 \(\int \frac {(5-x) (2+3 x^2)^{5/2}}{(3+2 x)^2} \, dx\)
  3.13.14 \(\int \frac {(5-x) (2+3 x^2)^{5/2}}{(3+2 x)^3} \, dx\)
  3.13.15 \(\int \frac {(5-x) (2+3 x^2)^{5/2}}{(3+2 x)^4} \, dx\)
  3.13.16 \(\int \frac {(5-x) (2+3 x^2)^{5/2}}{(3+2 x)^5} \, dx\)
  3.13.17 \(\int \frac {(5-x) (2+3 x^2)^{5/2}}{(3+2 x)^6} \, dx\)
  3.13.18 \(\int \frac {(5-x) (2+3 x^2)^{5/2}}{(3+2 x)^7} \, dx\)
  3.13.19 \(\int \frac {(5-x) (2+3 x^2)^{5/2}}{(3+2 x)^8} \, dx\)
  3.13.20 \(\int \frac {(5-x) (2+3 x^2)^{5/2}}{(3+2 x)^9} \, dx\)
  3.13.21 \(\int \frac {(5-x) (2+3 x^2)^{5/2}}{(3+2 x)^{10}} \, dx\)
  3.13.22 \(\int \frac {(5-x) (2+3 x^2)^{5/2}}{(3+2 x)^{11}} \, dx\)
  3.13.23 \(\int \frac {(5-x) (3+2 x)^4}{\sqrt {2+3 x^2}} \, dx\)
  3.13.24 \(\int \frac {(5-x) (3+2 x)^3}{\sqrt {2+3 x^2}} \, dx\)
  3.13.25 \(\int \frac {(5-x) (3+2 x)^2}{\sqrt {2+3 x^2}} \, dx\)
  3.13.26 \(\int \frac {(5-x) (3+2 x)}{\sqrt {2+3 x^2}} \, dx\)
  3.13.27 \(\int \frac {5-x}{\sqrt {2+3 x^2}} \, dx\)
  3.13.28 \(\int \frac {5-x}{(3+2 x) \sqrt {2+3 x^2}} \, dx\)
  3.13.29 \(\int \frac {5-x}{(3+2 x)^2 \sqrt {2+3 x^2}} \, dx\)
  3.13.30 \(\int \frac {5-x}{(3+2 x)^3 \sqrt {2+3 x^2}} \, dx\)
  3.13.31 \(\int \frac {5-x}{(3+2 x)^4 \sqrt {2+3 x^2}} \, dx\)
  3.13.32 \(\int \frac {5-x}{(3+2 x)^5 \sqrt {2+3 x^2}} \, dx\)
  3.13.33 \(\int \frac {5-x}{(3+2 x)^6 \sqrt {2+3 x^2}} \, dx\)
  3.13.34 \(\int \frac {(5-x) (3+2 x)^4}{(2+3 x^2)^{3/2}} \, dx\)
  3.13.35 \(\int \frac {(5-x) (3+2 x)^3}{(2+3 x^2)^{3/2}} \, dx\)
  3.13.36 \(\int \frac {(5-x) (3+2 x)^2}{(2+3 x^2)^{3/2}} \, dx\)
  3.13.37 \(\int \frac {(5-x) (3+2 x)}{(2+3 x^2)^{3/2}} \, dx\)
  3.13.38 \(\int \frac {5-x}{(2+3 x^2)^{3/2}} \, dx\)
  3.13.39 \(\int \frac {5-x}{(3+2 x) (2+3 x^2)^{3/2}} \, dx\)
  3.13.40 \(\int \frac {5-x}{(3+2 x)^2 (2+3 x^2)^{3/2}} \, dx\)
  3.13.41 \(\int \frac {5-x}{(3+2 x)^3 (2+3 x^2)^{3/2}} \, dx\)
  3.13.42 \(\int \frac {5-x}{(3+2 x)^4 (2+3 x^2)^{3/2}} \, dx\)
  3.13.43 \(\int \frac {5-x}{(3+2 x)^5 (2+3 x^2)^{3/2}} \, dx\)
  3.13.44 \(\int \frac {(5-x) (3+2 x)^6}{(2+3 x^2)^{5/2}} \, dx\)
  3.13.45 \(\int \frac {(5-x) (3+2 x)^5}{(2+3 x^2)^{5/2}} \, dx\)
  3.13.46 \(\int \frac {(5-x) (3+2 x)^4}{(2+3 x^2)^{5/2}} \, dx\)
  3.13.47 \(\int \frac {(5-x) (3+2 x)^3}{(2+3 x^2)^{5/2}} \, dx\)
  3.13.48 \(\int \frac {(5-x) (3+2 x)^2}{(2+3 x^2)^{5/2}} \, dx\)
  3.13.49 \(\int \frac {(5-x) (3+2 x)}{(2+3 x^2)^{5/2}} \, dx\)
  3.13.50 \(\int \frac {5-x}{(2+3 x^2)^{5/2}} \, dx\)
  3.13.51 \(\int \frac {5-x}{(3+2 x) (2+3 x^2)^{5/2}} \, dx\)
  3.13.52 \(\int \frac {5-x}{(3+2 x)^2 (2+3 x^2)^{5/2}} \, dx\)
  3.13.53 \(\int \frac {5-x}{(3+2 x)^3 (2+3 x^2)^{5/2}} \, dx\)
  3.13.54 \(\int \frac {5-x}{(3+2 x)^4 (2+3 x^2)^{5/2}} \, dx\)
  3.13.55 \(\int (A+B x) (d+e x)^{3/2} (a+c x^2) \, dx\)
  3.13.56 \(\int (A+B x) \sqrt {d+e x} (a+c x^2) \, dx\)
  3.13.57 \(\int \frac {(A+B x) (a+c x^2)}{\sqrt {d+e x}} \, dx\)
  3.13.58 \(\int \frac {(A+B x) (a+c x^2)}{(d+e x)^{3/2}} \, dx\)
  3.13.59 \(\int \frac {(A+B x) (a+c x^2)}{(d+e x)^{5/2}} \, dx\)
  3.13.60 \(\int \frac {(A+B x) (a+c x^2)}{(d+e x)^{7/2}} \, dx\)
  3.13.61 \(\int (A+B x) \sqrt {d+e x} (a+c x^2)^2 \, dx\)
  3.13.62 \(\int \frac {(A+B x) (a+c x^2)^2}{\sqrt {d+e x}} \, dx\)
  3.13.63 \(\int \frac {(A+B x) (a+c x^2)^2}{(d+e x)^{3/2}} \, dx\)
  3.13.64 \(\int \frac {(A+B x) (a+c x^2)^2}{(d+e x)^{5/2}} \, dx\)
  3.13.65 \(\int \frac {(A+B x) (a+c x^2)^2}{(d+e x)^{7/2}} \, dx\)
  3.13.66 \(\int \frac {(A+B x) (a+c x^2)^2}{(d+e x)^{9/2}} \, dx\)
  3.13.67 \(\int \frac {(A+B x) (a+c x^2)^3}{\sqrt {d+e x}} \, dx\)
  3.13.68 \(\int \frac {(A+B x) (a+c x^2)^3}{(d+e x)^{3/2}} \, dx\)
  3.13.69 \(\int \frac {(A+B x) (a+c x^2)^3}{(d+e x)^{5/2}} \, dx\)
  3.13.70 \(\int \frac {(A+B x) (a+c x^2)^3}{(d+e x)^{7/2}} \, dx\)
  3.13.71 \(\int \frac {(A+B x) (a+c x^2)^3}{(d+e x)^{9/2}} \, dx\)
  3.13.72 \(\int \frac {(A+B x) (a+c x^2)^3}{(d+e x)^{11/2}} \, dx\)
  3.13.73 \(\int \frac {(A+B x) (d+e x)^{5/2}}{a-c x^2} \, dx\)
  3.13.74 \(\int \frac {(A+B x) (d+e x)^{3/2}}{a-c x^2} \, dx\)
  3.13.75 \(\int \frac {(A+B x) \sqrt {d+e x}}{a-c x^2} \, dx\)
  3.13.76 \(\int \frac {A+B x}{\sqrt {d+e x} (a-c x^2)} \, dx\)
  3.13.77 \(\int \frac {A+B x}{(d+e x)^{3/2} (a-c x^2)} \, dx\)
  3.13.78 \(\int \frac {A+B x}{(d+e x)^{5/2} (a-c x^2)} \, dx\)
  3.13.79 \(\int \frac {(A+B x) (d+e x)^{5/2}}{(a-c x^2)^2} \, dx\)
  3.13.80 \(\int \frac {(A+B x) (d+e x)^{3/2}}{(a-c x^2)^2} \, dx\)
  3.13.81 \(\int \frac {(A+B x) \sqrt {d+e x}}{(a-c x^2)^2} \, dx\)
  3.13.82 \(\int \frac {A+B x}{\sqrt {d+e x} (a-c x^2)^2} \, dx\)
  3.13.83 \(\int \frac {A+B x}{(d+e x)^{3/2} (a-c x^2)^2} \, dx\)
  3.13.84 \(\int \frac {(A+B x) (d+e x)^{7/2}}{(a-c x^2)^3} \, dx\)
  3.13.85 \(\int \frac {(A+B x) (d+e x)^{5/2}}{(a-c x^2)^3} \, dx\)
  3.13.86 \(\int \frac {(A+B x) (d+e x)^{3/2}}{(a-c x^2)^3} \, dx\)
  3.13.87 \(\int \frac {(A+B x) \sqrt {d+e x}}{(a-c x^2)^3} \, dx\)
  3.13.88 \(\int \frac {A+B x}{\sqrt {d+e x} (a-c x^2)^3} \, dx\)
  3.13.89 \(\int \frac {A+B x}{\sqrt {d+e x} (2 A B d-A^2 e-B^2 e x^2)} \, dx\)
  3.13.90 \(\int \frac {A+B x}{\sqrt {\frac {A^2 e-B^2 e}{2 A B}+e x} (1+x^2)} \, dx\)
  3.13.91 \(\int \frac {A+B x}{\sqrt {d+e x} (1-x^2)} \, dx\)
  3.13.92 \(\int \frac {A+B x}{\sqrt {d+e x} (1+x^2)} \, dx\)
  3.13.93 \(\int \frac {(1-x) \sqrt {1+x}}{1+x^2} \, dx\)
  3.13.94 \(\int \frac {3+x}{\sqrt {4+3 x} (1+x^2)} \, dx\)
  3.13.95 \(\int \frac {1-3 x}{\sqrt {4+3 x} (1+x^2)} \, dx\)
  3.13.96 \(\int \frac {2+x}{\sqrt {3+4 x} (1+x^2)} \, dx\)
  3.13.97 \(\int \frac {-2+x}{\sqrt {-3+x} (-8+x^2)} \, dx\)
  3.13.98 \(\int (A+B x) (d+e x)^m (a+c x^2)^3 \, dx\)
  3.13.99 \(\int (A+B x) (d+e x)^m (a+c x^2)^2 \, dx\)
  3.13.100 \(\int (A+B x) (d+e x)^m (a+c x^2) \, dx\)