3.4.1 \(\int \frac {(a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}}{x^7 (d+e x)} \, dx\)
  3.4.2 \(\int \frac {(a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}}{x^8 (d+e x)} \, dx\)
  3.4.3 \(\int \frac {(a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}}{x^9 (d+e x)} \, dx\)
  3.4.4 \(\int \frac {x^3}{(d+e x) \sqrt {a d e+(c d^2+a e^2) x+c d e x^2}} \, dx\)
  3.4.5 \(\int \frac {x^2}{(d+e x) \sqrt {a d e+(c d^2+a e^2) x+c d e x^2}} \, dx\)
  3.4.6 \(\int \frac {x}{(d+e x) \sqrt {a d e+(c d^2+a e^2) x+c d e x^2}} \, dx\)
  3.4.7 \(\int \frac {1}{(d+e x) \sqrt {a d e+(c d^2+a e^2) x+c d e x^2}} \, dx\)
  3.4.8 \(\int \frac {1}{x (d+e x) \sqrt {a d e+(c d^2+a e^2) x+c d e x^2}} \, dx\)
  3.4.9 \(\int \frac {1}{x^2 (d+e x) \sqrt {a d e+(c d^2+a e^2) x+c d e x^2}} \, dx\)
  3.4.10 \(\int \frac {1}{x^3 (d+e x) \sqrt {a d e+(c d^2+a e^2) x+c d e x^2}} \, dx\)
  3.4.11 \(\int \frac {x^5}{(d+e x) (a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}} \, dx\)
  3.4.12 \(\int \frac {x^4}{(d+e x) (a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}} \, dx\)
  3.4.13 \(\int \frac {x^3}{(d+e x) (a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}} \, dx\)
  3.4.14 \(\int \frac {x^2}{(d+e x) (a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}} \, dx\)
  3.4.15 \(\int \frac {x}{(d+e x) (a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}} \, dx\)
  3.4.16 \(\int \frac {1}{(d+e x) (a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}} \, dx\)
  3.4.17 \(\int \frac {1}{x (d+e x) (a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}} \, dx\)
  3.4.18 \(\int \frac {1}{x^2 (d+e x) (a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}} \, dx\)
  3.4.19 \(\int \frac {1}{x^3 (d+e x) (a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}} \, dx\)
  3.4.20 \(\int \frac {1}{x^4 (d+e x) (a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}} \, dx\)
  3.4.21 \(\int \frac {x^2}{(d+e x) (a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}} \, dx\)
  3.4.22 \(\int \frac {x^2}{(d+e x) (a d e+(c d^2+a e^2) x+c d e x^2)^{7/2}} \, dx\)
  3.4.23 \(\int x^2 \sqrt {1+x} \sqrt {1-x+x^2} \, dx\)
  3.4.24 \(\int \frac {\sqrt {1+x} \sqrt {1-x+x^2}}{x} \, dx\)
  3.4.25 \(\int x^2 (1+x)^{3/2} (1-x+x^2)^{3/2} \, dx\)
  3.4.26 \(\int \frac {(1+x)^{3/2} (1-x+x^2)^{3/2}}{x} \, dx\)
  3.4.27 \(\int \frac {x^2}{\sqrt {1+x} \sqrt {1-x+x^2}} \, dx\)
  3.4.28 \(\int \frac {1}{x \sqrt {1+x} \sqrt {1-x+x^2}} \, dx\)
  3.4.29 \(\int \frac {x^2}{(1+x)^{3/2} (1-x+x^2)^{3/2}} \, dx\)
  3.4.30 \(\int \frac {1}{x (1+x)^{3/2} (1-x+x^2)^{3/2}} \, dx\)
  3.4.31 \(\int \frac {x^2}{(1+x)^{5/2} (1-x+x^2)^{5/2}} \, dx\)
  3.4.32 \(\int \frac {1}{x (1+x)^{5/2} (1-x+x^2)^{5/2}} \, dx\)
  3.4.33 \(\int \frac {x}{(-1+x)^3 (3+5 x+4 x^2)^2} \, dx\)
  3.4.34 \(\int \frac {x^4 \sqrt {d+e x}}{a+b x+c x^2} \, dx\)
  3.4.35 \(\int \frac {x^3 \sqrt {d+e x}}{a+b x+c x^2} \, dx\)
  3.4.36 \(\int \frac {x^2 \sqrt {d+e x}}{a+b x+c x^2} \, dx\)
  3.4.37 \(\int \frac {x \sqrt {d+e x}}{a+b x+c x^2} \, dx\)
  3.4.38 \(\int \frac {\sqrt {d+e x}}{a+b x+c x^2} \, dx\)
  3.4.39 \(\int \frac {\sqrt {d+e x}}{x (a+b x+c x^2)} \, dx\)
  3.4.40 \(\int \frac {\sqrt {d+e x}}{x^2 (a+b x+c x^2)} \, dx\)
  3.4.41 \(\int \frac {\sqrt {d+e x}}{x^3 (a+b x+c x^2)} \, dx\)
  3.4.42 \(\int \frac {x^4 (d+e x)^{3/2}}{a+b x+c x^2} \, dx\)
  3.4.43 \(\int \frac {x^3 (d+e x)^{3/2}}{a+b x+c x^2} \, dx\)
  3.4.44 \(\int \frac {x^2 (d+e x)^{3/2}}{a+b x+c x^2} \, dx\)
  3.4.45 \(\int \frac {x (d+e x)^{3/2}}{a+b x+c x^2} \, dx\)
  3.4.46 \(\int \frac {(d+e x)^{3/2}}{a+b x+c x^2} \, dx\)
  3.4.47 \(\int \frac {(d+e x)^{3/2}}{x (a+b x+c x^2)} \, dx\)
  3.4.48 \(\int \frac {(d+e x)^{3/2}}{x^2 (a+b x+c x^2)} \, dx\)
  3.4.49 \(\int \frac {(d+e x)^{3/2}}{x^3 (a+b x+c x^2)} \, dx\)
  3.4.50 \(\int \frac {(d+e x)^4 (f+g x)^2}{d^2-e^2 x^2} \, dx\)
  3.4.51 \(\int \frac {(d+e x)^3 (f+g x)^2}{d^2-e^2 x^2} \, dx\)
  3.4.52 \(\int \frac {(d+e x)^2 (f+g x)^2}{d^2-e^2 x^2} \, dx\)
  3.4.53 \(\int \frac {(d+e x) (f+g x)^2}{d^2-e^2 x^2} \, dx\)
  3.4.54 \(\int \frac {(f+g x)^2}{d^2-e^2 x^2} \, dx\)
  3.4.55 \(\int \frac {(f+g x)^2}{(d+e x) (d^2-e^2 x^2)} \, dx\)
  3.4.56 \(\int \frac {(f+g x)^2}{(d+e x)^2 (d^2-e^2 x^2)} \, dx\)
  3.4.57 \(\int \frac {(f+g x)^2}{(d+e x)^3 (d^2-e^2 x^2)} \, dx\)
  3.4.58 \(\int \frac {(f+g x)^2}{(d+e x)^4 (d^2-e^2 x^2)} \, dx\)
  3.4.59 \(\int \frac {(d+e x)^7 (f+g x)^2}{(d^2-e^2 x^2)^2} \, dx\)
  3.4.60 \(\int \frac {(d+e x)^6 (f+g x)^2}{(d^2-e^2 x^2)^2} \, dx\)
  3.4.61 \(\int \frac {(d+e x)^5 (f+g x)^2}{(d^2-e^2 x^2)^2} \, dx\)
  3.4.62 \(\int \frac {(d+e x)^4 (f+g x)^2}{(d^2-e^2 x^2)^2} \, dx\)
  3.4.63 \(\int \frac {(d+e x)^3 (f+g x)^2}{(d^2-e^2 x^2)^2} \, dx\)
  3.4.64 \(\int \frac {(d+e x)^2 (f+g x)^2}{(d^2-e^2 x^2)^2} \, dx\)
  3.4.65 \(\int \frac {(d+e x) (f+g x)^2}{(d^2-e^2 x^2)^2} \, dx\)
  3.4.66 \(\int \frac {(f+g x)^2}{(d^2-e^2 x^2)^2} \, dx\)
  3.4.67 \(\int \frac {(f+g x)^2}{(d+e x) (d^2-e^2 x^2)^2} \, dx\)
  3.4.68 \(\int \frac {(f+g x)^2}{(d+e x)^2 (d^2-e^2 x^2)^2} \, dx\)
  3.4.69 \(\int \frac {(f+g x)^2}{(d+e x)^3 (d^2-e^2 x^2)^2} \, dx\)
  3.4.70 \(\int \frac {(f+g x)^2}{(d+e x)^4 (d^2-e^2 x^2)^2} \, dx\)
  3.4.71 \(\int \frac {(d+e x)^7 (f+g x)^2}{(d^2-e^2 x^2)^3} \, dx\)
  3.4.72 \(\int \frac {(d+e x)^6 (f+g x)^2}{(d^2-e^2 x^2)^3} \, dx\)
  3.4.73 \(\int \frac {(d+e x)^5 (f+g x)^2}{(d^2-e^2 x^2)^3} \, dx\)
  3.4.74 \(\int \frac {(d+e x)^4 (f+g x)^2}{(d^2-e^2 x^2)^3} \, dx\)
  3.4.75 \(\int \frac {(d+e x)^3 (f+g x)^2}{(d^2-e^2 x^2)^3} \, dx\)
  3.4.76 \(\int \frac {(d+e x)^2 (f+g x)^2}{(d^2-e^2 x^2)^3} \, dx\)
  3.4.77 \(\int \frac {(d+e x) (f+g x)^2}{(d^2-e^2 x^2)^3} \, dx\)
  3.4.78 \(\int \frac {(f+g x)^2}{(d^2-e^2 x^2)^3} \, dx\)
  3.4.79 \(\int \frac {(f+g x)^2}{(d+e x) (d^2-e^2 x^2)^3} \, dx\)
  3.4.80 \(\int \frac {(f+g x)^2}{(d+e x)^2 (d^2-e^2 x^2)^3} \, dx\)
  3.4.81 \(\int \frac {(d+e x)^3 (f+g x)^5}{(d^2-e^2 x^2)^{7/2}} \, dx\)
  3.4.82 \(\int \frac {(d+e x)^3 (f+g x)^4}{(d^2-e^2 x^2)^{7/2}} \, dx\)
  3.4.83 \(\int \frac {(d+e x)^3 (f+g x)^3}{(d^2-e^2 x^2)^{7/2}} \, dx\)
  3.4.84 \(\int \frac {(d+e x)^3 (f+g x)^2}{(d^2-e^2 x^2)^{7/2}} \, dx\)
  3.4.85 \(\int \frac {(d+e x)^3 (f+g x)}{(d^2-e^2 x^2)^{7/2}} \, dx\)
  3.4.86 \(\int \frac {(d+e x)^3}{(d^2-e^2 x^2)^{7/2}} \, dx\)
  3.4.87 \(\int \frac {(d+e x)^3}{(f+g x) (d^2-e^2 x^2)^{7/2}} \, dx\)
  3.4.88 \(\int \frac {(d+e x)^3}{(f+g x)^2 (d^2-e^2 x^2)^{7/2}} \, dx\)
  3.4.89 \(\int \frac {(d+e x)^3}{(f+g x)^3 (d^2-e^2 x^2)^{7/2}} \, dx\)
  3.4.90 \(\int \frac {a+c x^2}{(d+e x)^{3/2} (f+g x)} \, dx\)
  3.4.91 \(\int \frac {(d+e x)^3 (a+c x^2)}{\sqrt {f+g x}} \, dx\)
  3.4.92 \(\int \frac {(d+e x)^2 (a+c x^2)}{\sqrt {f+g x}} \, dx\)
  3.4.93 \(\int \frac {(d+e x) (a+c x^2)}{\sqrt {f+g x}} \, dx\)
  3.4.94 \(\int \frac {a+c x^2}{\sqrt {f+g x}} \, dx\)
  3.4.95 \(\int \frac {a+c x^2}{(d+e x) \sqrt {f+g x}} \, dx\)
  3.4.96 \(\int \frac {a+c x^2}{(d+e x)^2 \sqrt {f+g x}} \, dx\)
  3.4.97 \(\int \frac {a+c x^2}{(d+e x)^3 \sqrt {f+g x}} \, dx\)
  3.4.98 \(\int \frac {(d+e x)^3 (a+c x^2)}{(f+g x)^{3/2}} \, dx\)
  3.4.99 \(\int \frac {(d+e x)^2 (a+c x^2)}{(f+g x)^{3/2}} \, dx\)
  3.4.100 \(\int \frac {(d+e x) (a+c x^2)}{(f+g x)^{3/2}} \, dx\)