3.21.1 \(\int (d+e x)^{5/2} (f+g x) \sqrt {c d^2-b d e-b e^2 x-c e^2 x^2} \, dx\)
  3.21.2 \(\int (d+e x)^{3/2} (f+g x) \sqrt {c d^2-b d e-b e^2 x-c e^2 x^2} \, dx\)
  3.21.3 \(\int \sqrt {d+e x} (f+g x) \sqrt {c d^2-b d e-b e^2 x-c e^2 x^2} \, dx\)
  3.21.4 \(\int \frac {(f+g x) \sqrt {c d^2-b d e-b e^2 x-c e^2 x^2}}{\sqrt {d+e x}} \, dx\)
  3.21.5 \(\int \frac {(f+g x) \sqrt {c d^2-b d e-b e^2 x-c e^2 x^2}}{(d+e x)^{3/2}} \, dx\)
  3.21.6 \(\int \frac {(f+g x) \sqrt {c d^2-b d e-b e^2 x-c e^2 x^2}}{(d+e x)^{5/2}} \, dx\)
  3.21.7 \(\int \frac {(f+g x) \sqrt {c d^2-b d e-b e^2 x-c e^2 x^2}}{(d+e x)^{7/2}} \, dx\)
  3.21.8 \(\int \frac {(f+g x) \sqrt {c d^2-b d e-b e^2 x-c e^2 x^2}}{(d+e x)^{9/2}} \, dx\)
  3.21.9 \(\int \frac {(f+g x) \sqrt {c d^2-b d e-b e^2 x-c e^2 x^2}}{(d+e x)^{11/2}} \, dx\)
  3.21.10 \(\int (d+e x)^{5/2} (f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{3/2} \, dx\)
  3.21.11 \(\int (d+e x)^{3/2} (f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{3/2} \, dx\)
  3.21.12 \(\int \sqrt {d+e x} (f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{3/2} \, dx\)
  3.21.13 \(\int \frac {(f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{3/2}}{\sqrt {d+e x}} \, dx\)
  3.21.14 \(\int \frac {(f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{3/2}}{(d+e x)^{3/2}} \, dx\)
  3.21.15 \(\int \frac {(f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{3/2}}{(d+e x)^{5/2}} \, dx\)
  3.21.16 \(\int \frac {(f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{3/2}}{(d+e x)^{7/2}} \, dx\)
  3.21.17 \(\int \frac {(f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{3/2}}{(d+e x)^{9/2}} \, dx\)
  3.21.18 \(\int \frac {(f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{3/2}}{(d+e x)^{11/2}} \, dx\)
  3.21.19 \(\int \frac {(f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{3/2}}{(d+e x)^{13/2}} \, dx\)
  3.21.20 \(\int (d+e x)^{5/2} (f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2} \, dx\)
  3.21.21 \(\int (d+e x)^{3/2} (f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2} \, dx\)
  3.21.22 \(\int \sqrt {d+e x} (f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2} \, dx\)
  3.21.23 \(\int \frac {(f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}}{\sqrt {d+e x}} \, dx\)
  3.21.24 \(\int \frac {(f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}}{(d+e x)^{3/2}} \, dx\)
  3.21.25 \(\int \frac {(f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}}{(d+e x)^{5/2}} \, dx\)
  3.21.26 \(\int \frac {(f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}}{(d+e x)^{7/2}} \, dx\)
  3.21.27 \(\int \frac {(f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}}{(d+e x)^{9/2}} \, dx\)
  3.21.28 \(\int \frac {(f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}}{(d+e x)^{11/2}} \, dx\)
  3.21.29 \(\int \frac {(f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}}{(d+e x)^{13/2}} \, dx\)
  3.21.30 \(\int \frac {(f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}}{(d+e x)^{15/2}} \, dx\)
  3.21.31 \(\int \frac {(f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}}{(d+e x)^{17/2}} \, dx\)
  3.21.32 \(\int \frac {(d+e x)^{5/2} (f+g x)}{\sqrt {c d^2-b d e-b e^2 x-c e^2 x^2}} \, dx\)
  3.21.33 \(\int \frac {(d+e x)^{3/2} (f+g x)}{\sqrt {c d^2-b d e-b e^2 x-c e^2 x^2}} \, dx\)
  3.21.34 \(\int \frac {\sqrt {d+e x} (f+g x)}{\sqrt {c d^2-b d e-b e^2 x-c e^2 x^2}} \, dx\)
  3.21.35 \(\int \frac {f+g x}{\sqrt {d+e x} \sqrt {c d^2-b d e-b e^2 x-c e^2 x^2}} \, dx\)
  3.21.36 \(\int \frac {f+g x}{(d+e x)^{3/2} \sqrt {c d^2-b d e-b e^2 x-c e^2 x^2}} \, dx\)
  3.21.37 \(\int \frac {f+g x}{(d+e x)^{5/2} \sqrt {c d^2-b d e-b e^2 x-c e^2 x^2}} \, dx\)
  3.21.38 \(\int \frac {(d+e x)^{9/2} (f+g x)}{(c d^2-b d e-b e^2 x-c e^2 x^2)^{3/2}} \, dx\)
  3.21.39 \(\int \frac {(d+e x)^{7/2} (f+g x)}{(c d^2-b d e-b e^2 x-c e^2 x^2)^{3/2}} \, dx\)
  3.21.40 \(\int \frac {(d+e x)^{5/2} (f+g x)}{(c d^2-b d e-b e^2 x-c e^2 x^2)^{3/2}} \, dx\)
  3.21.41 \(\int \frac {(d+e x)^{3/2} (f+g x)}{(c d^2-b d e-b e^2 x-c e^2 x^2)^{3/2}} \, dx\)
  3.21.42 \(\int \frac {\sqrt {d+e x} (f+g x)}{(c d^2-b d e-b e^2 x-c e^2 x^2)^{3/2}} \, dx\)
  3.21.43 \(\int \frac {f+g x}{\sqrt {d+e x} (c d^2-b d e-b e^2 x-c e^2 x^2)^{3/2}} \, dx\)
  3.21.44 \(\int \frac {f+g x}{(d+e x)^{3/2} (c d^2-b d e-b e^2 x-c e^2 x^2)^{3/2}} \, dx\)
  3.21.45 \(\int \frac {f+g x}{(d+e x)^{5/2} (c d^2-b d e-b e^2 x-c e^2 x^2)^{3/2}} \, dx\)
  3.21.46 \(\int \frac {(d+e x)^{13/2} (f+g x)}{(c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}} \, dx\)
  3.21.47 \(\int \frac {(d+e x)^{11/2} (f+g x)}{(c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}} \, dx\)
  3.21.48 \(\int \frac {(d+e x)^{9/2} (f+g x)}{(c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}} \, dx\)
  3.21.49 \(\int \frac {(d+e x)^{7/2} (f+g x)}{(c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}} \, dx\)
  3.21.50 \(\int \frac {(d+e x)^{5/2} (f+g x)}{(c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}} \, dx\)
  3.21.51 \(\int \frac {(d+e x)^{3/2} (f+g x)}{(c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}} \, dx\)
  3.21.52 \(\int \frac {\sqrt {d+e x} (f+g x)}{(c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}} \, dx\)
  3.21.53 \(\int \frac {f+g x}{\sqrt {d+e x} (c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}} \, dx\)
  3.21.54 \(\int \frac {f+g x}{(d+e x)^{3/2} (c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}} \, dx\)
  3.21.55 \(\int (d+e x)^m (c d m-b e (1+m+p)-c e (2+m+2 p) x) (c d^2-b d e-b e^2 x-c e^2 x^2)^p \, dx\)
  3.21.56 \(\int (d+e x)^{-3-2 p} (f+g x) (d (e f+d g+d g p)+e (e f+3 d g+2 d g p) x+e^2 g (2+p) x^2)^p \, dx\)
  3.21.57 \(\int \frac {(d+e x)^2 (f+g x)}{(c f^2-b f g-b g^2 x-c g^2 x^2)^2} \, dx\)
  3.21.58 \(\int (1+x)^4 (a+b x) (1-x+x^2)^4 \, dx\)
  3.21.59 \(\int (1+x)^3 (a+b x) (1-x+x^2)^3 \, dx\)
  3.21.60 \(\int (1+x)^2 (a+b x) (1-x+x^2)^2 \, dx\)
  3.21.61 \(\int (1+x) (a+b x) (1-x+x^2) \, dx\)
  3.21.62 \(\int \frac {a+b x}{(1+x) (1-x+x^2)} \, dx\)
  3.21.63 \(\int \frac {a+b x}{(1+x)^2 (1-x+x^2)^2} \, dx\)
  3.21.64 \(\int \frac {a+b x}{(1+x)^3 (1-x+x^2)^3} \, dx\)
  3.21.65 \(\int (A+B x) (d+e x)^4 (a+b x+c x^2) \, dx\)
  3.21.66 \(\int (A+B x) (d+e x)^3 (a+b x+c x^2) \, dx\)
  3.21.67 \(\int (A+B x) (d+e x)^2 (a+b x+c x^2) \, dx\)
  3.21.68 \(\int (A+B x) (d+e x) (a+b x+c x^2) \, dx\)
  3.21.69 \(\int (A+B x) (a+b x+c x^2) \, dx\)
  3.21.70 \(\int \frac {(A+B x) (a+b x+c x^2)}{d+e x} \, dx\)
  3.21.71 \(\int \frac {(A+B x) (a+b x+c x^2)}{(d+e x)^2} \, dx\)
  3.21.72 \(\int \frac {(A+B x) (a+b x+c x^2)}{(d+e x)^3} \, dx\)
  3.21.73 \(\int \frac {(A+B x) (a+b x+c x^2)}{(d+e x)^4} \, dx\)
  3.21.74 \(\int \frac {(A+B x) (a+b x+c x^2)}{(d+e x)^5} \, dx\)
  3.21.75 \(\int \frac {(A+B x) (a+b x+c x^2)}{(d+e x)^6} \, dx\)
  3.21.76 \(\int \frac {(A+B x) (a+b x+c x^2)}{(d+e x)^7} \, dx\)
  3.21.77 \(\int (A+B x) (d+e x)^5 (a+b x+c x^2)^2 \, dx\)
  3.21.78 \(\int (A+B x) (d+e x)^4 (a+b x+c x^2)^2 \, dx\)
  3.21.79 \(\int (A+B x) (d+e x)^3 (a+b x+c x^2)^2 \, dx\)
  3.21.80 \(\int (A+B x) (d+e x)^2 (a+b x+c x^2)^2 \, dx\)
  3.21.81 \(\int (A+B x) (d+e x) (a+b x+c x^2)^2 \, dx\)
  3.21.82 \(\int (A+B x) (a+b x+c x^2)^2 \, dx\)
  3.21.83 \(\int \frac {(A+B x) (a+b x+c x^2)^2}{d+e x} \, dx\)
  3.21.84 \(\int \frac {(A+B x) (a+b x+c x^2)^2}{(d+e x)^2} \, dx\)
  3.21.85 \(\int \frac {(A+B x) (a+b x+c x^2)^2}{(d+e x)^3} \, dx\)
  3.21.86 \(\int \frac {(A+B x) (a+b x+c x^2)^2}{(d+e x)^4} \, dx\)
  3.21.87 \(\int \frac {(A+B x) (a+b x+c x^2)^2}{(d+e x)^5} \, dx\)
  3.21.88 \(\int \frac {(A+B x) (a+b x+c x^2)^2}{(d+e x)^6} \, dx\)
  3.21.89 \(\int \frac {(A+B x) (a+b x+c x^2)^2}{(d+e x)^7} \, dx\)
  3.21.90 \(\int \frac {(A+B x) (a+b x+c x^2)^2}{(d+e x)^8} \, dx\)
  3.21.91 \(\int \frac {(A+B x) (a+b x+c x^2)^2}{(d+e x)^9} \, dx\)
  3.21.92 \(\int (A+B x) (d+e x)^5 (a+b x+c x^2)^3 \, dx\)
  3.21.93 \(\int (A+B x) (d+e x)^4 (a+b x+c x^2)^3 \, dx\)
  3.21.94 \(\int (A+B x) (d+e x)^3 (a+b x+c x^2)^3 \, dx\)
  3.21.95 \(\int (A+B x) (d+e x)^2 (a+b x+c x^2)^3 \, dx\)
  3.21.96 \(\int (A+B x) (d+e x) (a+b x+c x^2)^3 \, dx\)
  3.21.97 \(\int (A+B x) (a+b x+c x^2)^3 \, dx\)
  3.21.98 \(\int \frac {(A+B x) (a+b x+c x^2)^3}{d+e x} \, dx\)
  3.21.99 \(\int \frac {(A+B x) (a+b x+c x^2)^3}{(d+e x)^2} \, dx\)
  3.21.100 \(\int \frac {(A+B x) (a+b x+c x^2)^3}{(d+e x)^3} \, dx\)