3.5.1 \(\int \frac {a+c x^2}{(f+g x)^{3/2}} \, dx\)
  3.5.2 \(\int \frac {a+c x^2}{(d+e x) (f+g x)^{3/2}} \, dx\)
  3.5.3 \(\int \frac {a+c x^2}{(d+e x)^2 (f+g x)^{3/2}} \, dx\)
  3.5.4 \(\int \frac {a+c x^2}{(d+e x)^3 (f+g x)^{3/2}} \, dx\)
  3.5.5 \(\int \frac {a+c x^2}{\sqrt {d+e x} \sqrt {f+g x}} \, dx\)
  3.5.6 \(\int \frac {-1+2 x^2}{\sqrt {-1+x} \sqrt {1+x}} \, dx\)
  3.5.7 \(\int \frac {(d+e x)^{3/2} \sqrt {f+g x}}{a+c x^2} \, dx\)
  3.5.8 \(\int \frac {\sqrt {d+e x} \sqrt {f+g x}}{a+c x^2} \, dx\)
  3.5.9 \(\int \frac {\sqrt {f+g x}}{\sqrt {d+e x} (a+c x^2)} \, dx\)
  3.5.10 \(\int \frac {\sqrt {f+g x}}{(d+e x)^{3/2} (a+c x^2)} \, dx\)
  3.5.11 \(\int \frac {\sqrt {f+g x}}{(d+e x)^{5/2} (a+c x^2)} \, dx\)
  3.5.12 \(\int \frac {(d+e x)^{3/2}}{\sqrt {f+g x} (a+c x^2)} \, dx\)
  3.5.13 \(\int \frac {\sqrt {d+e x}}{\sqrt {f+g x} (a+c x^2)} \, dx\)
  3.5.14 \(\int \frac {1}{\sqrt {d+e x} \sqrt {f+g x} (a+c x^2)} \, dx\)
  3.5.15 \(\int \frac {1}{(d+e x)^{3/2} \sqrt {f+g x} (a+c x^2)} \, dx\)
  3.5.16 \(\int \frac {(d+e x)^{3/2}}{(f+g x)^{3/2} (a+c x^2)} \, dx\)
  3.5.17 \(\int \frac {\sqrt {d+e x}}{(f+g x)^{3/2} (a+c x^2)} \, dx\)
  3.5.18 \(\int \frac {1}{\sqrt {d+e x} (f+g x)^{3/2} (a+c x^2)} \, dx\)
  3.5.19 \(\int \frac {1}{(d+e x)^{3/2} (f+g x)^{3/2} (a+c x^2)} \, dx\)
  3.5.20 \(\int \frac {\sqrt {x}}{\sqrt {1+x} (1+x^2)} \, dx\)
  3.5.21 \(\int \frac {(f+g x)^2 \sqrt {1-x^2}}{(1-x)^4} \, dx\)
  3.5.22 \(\int \frac {(1-a^2 x^2)^{3/2}}{(1-a x)^2 (c+d x)} \, dx\)
  3.5.23 \(\int \frac {(1+a x)^2}{(c+d x) \sqrt {1-a^2 x^2}} \, dx\)
  3.5.24 \(\int \frac {\sqrt {d+e x} (f+g x)^3}{\sqrt {a d e+(c d^2+a e^2) x+c d e x^2}} \, dx\)
  3.5.25 \(\int \frac {\sqrt {d+e x} (f+g x)^2}{\sqrt {a d e+(c d^2+a e^2) x+c d e x^2}} \, dx\)
  3.5.26 \(\int \frac {\sqrt {d+e x} (f+g x)}{\sqrt {a d e+(c d^2+a e^2) x+c d e x^2}} \, dx\)
  3.5.27 \(\int \frac {\sqrt {d+e x}}{\sqrt {a d e+(c d^2+a e^2) x+c d e x^2}} \, dx\)
  3.5.28 \(\int \frac {\sqrt {d+e x}}{(f+g x) \sqrt {a d e+(c d^2+a e^2) x+c d e x^2}} \, dx\)
  3.5.29 \(\int \frac {\sqrt {d+e x}}{(f+g x)^2 \sqrt {a d e+(c d^2+a e^2) x+c d e x^2}} \, dx\)
  3.5.30 \(\int \frac {\sqrt {d+e x}}{(f+g x)^3 \sqrt {a d e+(c d^2+a e^2) x+c d e x^2}} \, dx\)
  3.5.31 \(\int \frac {\sqrt {d+e x}}{(f+g x)^4 \sqrt {a d e+(c d^2+a e^2) x+c d e x^2}} \, dx\)
  3.5.32 \(\int \frac {(d+e x)^{3/2} (f+g x)^3}{(a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}} \, dx\)
  3.5.33 \(\int \frac {(d+e x)^{3/2} (f+g x)^2}{(a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}} \, dx\)
  3.5.34 \(\int \frac {(d+e x)^{3/2} (f+g x)}{(a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}} \, dx\)
  3.5.35 \(\int \frac {(d+e x)^{3/2}}{(a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}} \, dx\)
  3.5.36 \(\int \frac {(d+e x)^{3/2}}{(f+g x) (a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}} \, dx\)
  3.5.37 \(\int \frac {(d+e x)^{3/2}}{(f+g x)^2 (a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}} \, dx\)
  3.5.38 \(\int \frac {(d+e x)^{3/2}}{(f+g x)^3 (a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}} \, dx\)
  3.5.39 \(\int \frac {(d+e x)^{5/2} (f+g x)^3}{(a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}} \, dx\)
  3.5.40 \(\int \frac {(d+e x)^{5/2} (f+g x)^2}{(a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}} \, dx\)
  3.5.41 \(\int \frac {(d+e x)^{5/2} (f+g x)}{(a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}} \, dx\)
  3.5.42 \(\int \frac {(d+e x)^{5/2}}{(a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}} \, dx\)
  3.5.43 \(\int \frac {(d+e x)^{5/2}}{(f+g x) (a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}} \, dx\)
  3.5.44 \(\int \frac {(d+e x)^{5/2}}{(f+g x)^2 (a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}} \, dx\)
  3.5.45 \(\int \frac {(d+e x)^{5/2}}{(f+g x)^3 (a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}} \, dx\)
  3.5.46 \(\int \frac {(f+g x)^4 \sqrt {a d e+(c d^2+a e^2) x+c d e x^2}}{\sqrt {d+e x}} \, dx\)
  3.5.47 \(\int \frac {(f+g x)^3 \sqrt {a d e+(c d^2+a e^2) x+c d e x^2}}{\sqrt {d+e x}} \, dx\)
  3.5.48 \(\int \frac {(f+g x)^2 \sqrt {a d e+(c d^2+a e^2) x+c d e x^2}}{\sqrt {d+e x}} \, dx\)
  3.5.49 \(\int \frac {(f+g x) \sqrt {a d e+(c d^2+a e^2) x+c d e x^2}}{\sqrt {d+e x}} \, dx\)
  3.5.50 \(\int \frac {\sqrt {a d e+(c d^2+a e^2) x+c d e x^2}}{\sqrt {d+e x}} \, dx\)
  3.5.51 \(\int \frac {\sqrt {a d e+(c d^2+a e^2) x+c d e x^2}}{\sqrt {d+e x} (f+g x)} \, dx\)
  3.5.52 \(\int \frac {\sqrt {a d e+(c d^2+a e^2) x+c d e x^2}}{\sqrt {d+e x} (f+g x)^2} \, dx\)
  3.5.53 \(\int \frac {\sqrt {a d e+(c d^2+a e^2) x+c d e x^2}}{\sqrt {d+e x} (f+g x)^3} \, dx\)
  3.5.54 \(\int \frac {\sqrt {a d e+(c d^2+a e^2) x+c d e x^2}}{\sqrt {d+e x} (f+g x)^4} \, dx\)
  3.5.55 \(\int \frac {\sqrt {a d e+(c d^2+a e^2) x+c d e x^2}}{\sqrt {d+e x} (f+g x)^5} \, dx\)
  3.5.56 \(\int \frac {(f+g x)^4 (a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}}{(d+e x)^{3/2}} \, dx\)
  3.5.57 \(\int \frac {(f+g x)^3 (a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}}{(d+e x)^{3/2}} \, dx\)
  3.5.58 \(\int \frac {(f+g x)^2 (a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}}{(d+e x)^{3/2}} \, dx\)
  3.5.59 \(\int \frac {(f+g x) (a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}}{(d+e x)^{3/2}} \, dx\)
  3.5.60 \(\int \frac {(a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}}{(d+e x)^{3/2}} \, dx\)
  3.5.61 \(\int \frac {(a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}}{(d+e x)^{3/2} (f+g x)} \, dx\)
  3.5.62 \(\int \frac {(a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}}{(d+e x)^{3/2} (f+g x)^2} \, dx\)
  3.5.63 \(\int \frac {(a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}}{(d+e x)^{3/2} (f+g x)^3} \, dx\)
  3.5.64 \(\int \frac {(a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}}{(d+e x)^{3/2} (f+g x)^4} \, dx\)
  3.5.65 \(\int \frac {(a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}}{(d+e x)^{3/2} (f+g x)^5} \, dx\)
  3.5.66 \(\int \frac {(a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}}{(d+e x)^{3/2} (f+g x)^6} \, dx\)
  3.5.67 \(\int \frac {(f+g x)^4 (a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}}{(d+e x)^{5/2}} \, dx\)
  3.5.68 \(\int \frac {(f+g x)^3 (a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}}{(d+e x)^{5/2}} \, dx\)
  3.5.69 \(\int \frac {(f+g x)^2 (a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}}{(d+e x)^{5/2}} \, dx\)
  3.5.70 \(\int \frac {(f+g x) (a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}}{(d+e x)^{5/2}} \, dx\)
  3.5.71 \(\int \frac {(a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}}{(d+e x)^{5/2}} \, dx\)
  3.5.72 \(\int \frac {(a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}}{(d+e x)^{5/2} (f+g x)} \, dx\)
  3.5.73 \(\int \frac {(a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}}{(d+e x)^{5/2} (f+g x)^2} \, dx\)
  3.5.74 \(\int \frac {(a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}}{(d+e x)^{5/2} (f+g x)^3} \, dx\)
  3.5.75 \(\int \frac {(a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}}{(d+e x)^{5/2} (f+g x)^4} \, dx\)
  3.5.76 \(\int \frac {(a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}}{(d+e x)^{5/2} (f+g x)^5} \, dx\)
  3.5.77 \(\int \frac {(a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}}{(d+e x)^{5/2} (f+g x)^6} \, dx\)
  3.5.78 \(\int \frac {(a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}}{(d+e x)^{5/2} (f+g x)^7} \, dx\)
  3.5.79 \(\int \frac {\sqrt {d+e x} (f+g x)^{5/2}}{\sqrt {a d e+(c d^2+a e^2) x+c d e x^2}} \, dx\)
  3.5.80 \(\int \frac {\sqrt {d+e x} (f+g x)^{3/2}}{\sqrt {a d e+(c d^2+a e^2) x+c d e x^2}} \, dx\)
  3.5.81 \(\int \frac {\sqrt {d+e x} \sqrt {f+g x}}{\sqrt {a d e+(c d^2+a e^2) x+c d e x^2}} \, dx\)
  3.5.82 \(\int \frac {\sqrt {d+e x}}{\sqrt {f+g x} \sqrt {a d e+(c d^2+a e^2) x+c d e x^2}} \, dx\)
  3.5.83 \(\int \frac {\sqrt {d+e x}}{(f+g x)^{3/2} \sqrt {a d e+(c d^2+a e^2) x+c d e x^2}} \, dx\)
  3.5.84 \(\int \frac {\sqrt {d+e x}}{(f+g x)^{5/2} \sqrt {a d e+(c d^2+a e^2) x+c d e x^2}} \, dx\)
  3.5.85 \(\int \frac {\sqrt {d+e x}}{(f+g x)^{7/2} \sqrt {a d e+(c d^2+a e^2) x+c d e x^2}} \, dx\)
  3.5.86 \(\int \frac {\sqrt {d+e x}}{(f+g x)^{9/2} \sqrt {a d e+(c d^2+a e^2) x+c d e x^2}} \, dx\)
  3.5.87 \(\int \frac {(d+e x)^{3/2} (f+g x)^{5/2}}{(a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}} \, dx\)
  3.5.88 \(\int \frac {(d+e x)^{3/2} (f+g x)^{3/2}}{(a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}} \, dx\)
  3.5.89 \(\int \frac {(d+e x)^{3/2} \sqrt {f+g x}}{(a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}} \, dx\)
  3.5.90 \(\int \frac {(d+e x)^{3/2}}{\sqrt {f+g x} (a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}} \, dx\)
  3.5.91 \(\int \frac {(d+e x)^{3/2}}{(f+g x)^{3/2} (a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}} \, dx\)
  3.5.92 \(\int \frac {(d+e x)^{3/2}}{(f+g x)^{5/2} (a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}} \, dx\)
  3.5.93 \(\int \frac {(d+e x)^{3/2}}{(f+g x)^{7/2} (a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}} \, dx\)
  3.5.94 \(\int \frac {(d+e x)^{5/2} (f+g x)^{5/2}}{(a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}} \, dx\)
  3.5.95 \(\int \frac {(d+e x)^{5/2} (f+g x)^{3/2}}{(a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}} \, dx\)
  3.5.96 \(\int \frac {(d+e x)^{5/2} \sqrt {f+g x}}{(a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}} \, dx\)
  3.5.97 \(\int \frac {(d+e x)^{5/2}}{\sqrt {f+g x} (a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}} \, dx\)
  3.5.98 \(\int \frac {(d+e x)^{5/2}}{(f+g x)^{3/2} (a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}} \, dx\)
  3.5.99 \(\int \frac {(d+e x)^{5/2}}{(f+g x)^{5/2} (a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}} \, dx\)
  3.5.100 \(\int \frac {(f+g x)^{5/2} \sqrt {a d e+(c d^2+a e^2) x+c d e x^2}}{\sqrt {d+e x}} \, dx\)