3.4.1 \(\int \frac {d+e x}{a^2-c^2 x^2} \, dx\)
  3.4.2 \(\int \frac {d+e x}{x (a^2-c^2 x^2)} \, dx\)
  3.4.3 \(\int \frac {d+e x}{x^2 (a^2-c^2 x^2)} \, dx\)
  3.4.4 \(\int \frac {d+e x}{x^3 (a^2-c^2 x^2)} \, dx\)
  3.4.5 \(\int \frac {d+e x}{x^4 (a^2-c^2 x^2)} \, dx\)
  3.4.6 \(\int \frac {x^4 (d+e x)}{(a^2-c^2 x^2)^2} \, dx\)
  3.4.7 \(\int \frac {x^3 (d+e x)}{(a^2-c^2 x^2)^2} \, dx\)
  3.4.8 \(\int \frac {x^2 (d+e x)}{(a^2-c^2 x^2)^2} \, dx\)
  3.4.9 \(\int \frac {x (d+e x)}{(a^2-c^2 x^2)^2} \, dx\)
  3.4.10 \(\int \frac {d+e x}{(a^2-c^2 x^2)^2} \, dx\)
  3.4.11 \(\int \frac {d+e x}{x (a^2-c^2 x^2)^2} \, dx\)
  3.4.12 \(\int \frac {d+e x}{x^2 (a^2-c^2 x^2)^2} \, dx\)
  3.4.13 \(\int \frac {d+e x}{x^3 (a^2-c^2 x^2)^2} \, dx\)
  3.4.14 \(\int x^4 (A+B x) \sqrt {a+c x^2} \, dx\)
  3.4.15 \(\int x^3 (A+B x) \sqrt {a+c x^2} \, dx\)
  3.4.16 \(\int x^2 (A+B x) \sqrt {a+c x^2} \, dx\)
  3.4.17 \(\int x (A+B x) \sqrt {a+c x^2} \, dx\)
  3.4.18 \(\int (A+B x) \sqrt {a+c x^2} \, dx\)
  3.4.19 \(\int \frac {(A+B x) \sqrt {a+c x^2}}{x} \, dx\)
  3.4.20 \(\int \frac {(A+B x) \sqrt {a+c x^2}}{x^2} \, dx\)
  3.4.21 \(\int \frac {(A+B x) \sqrt {a+c x^2}}{x^3} \, dx\)
  3.4.22 \(\int \frac {(A+B x) \sqrt {a+c x^2}}{x^4} \, dx\)
  3.4.23 \(\int \frac {(A+B x) \sqrt {a+c x^2}}{x^5} \, dx\)
  3.4.24 \(\int \frac {(A+B x) \sqrt {a+c x^2}}{x^6} \, dx\)
  3.4.25 \(\int \frac {(A+B x) \sqrt {a+c x^2}}{x^7} \, dx\)
  3.4.26 \(\int x^4 (A+B x) (a+c x^2)^{3/2} \, dx\)
  3.4.27 \(\int x^3 (A+B x) (a+c x^2)^{3/2} \, dx\)
  3.4.28 \(\int x^2 (A+B x) (a+c x^2)^{3/2} \, dx\)
  3.4.29 \(\int x (A+B x) (a+c x^2)^{3/2} \, dx\)
  3.4.30 \(\int (A+B x) (a+c x^2)^{3/2} \, dx\)
  3.4.31 \(\int \frac {(A+B x) (a+c x^2)^{3/2}}{x} \, dx\)
  3.4.32 \(\int \frac {(A+B x) (a+c x^2)^{3/2}}{x^2} \, dx\)
  3.4.33 \(\int \frac {(A+B x) (a+c x^2)^{3/2}}{x^3} \, dx\)
  3.4.34 \(\int \frac {(A+B x) (a+c x^2)^{3/2}}{x^4} \, dx\)
  3.4.35 \(\int \frac {(A+B x) (a+c x^2)^{3/2}}{x^5} \, dx\)
  3.4.36 \(\int \frac {(A+B x) (a+c x^2)^{3/2}}{x^6} \, dx\)
  3.4.37 \(\int \frac {(A+B x) (a+c x^2)^{3/2}}{x^7} \, dx\)
  3.4.38 \(\int \frac {(A+B x) (a+c x^2)^{3/2}}{x^8} \, dx\)
  3.4.39 \(\int x^4 (A+B x) (a+c x^2)^{5/2} \, dx\)
  3.4.40 \(\int x^3 (A+B x) (a+c x^2)^{5/2} \, dx\)
  3.4.41 \(\int x^2 (A+B x) (a+c x^2)^{5/2} \, dx\)
  3.4.42 \(\int x (A+B x) (a+c x^2)^{5/2} \, dx\)
  3.4.43 \(\int (A+B x) (a+c x^2)^{5/2} \, dx\)
  3.4.44 \(\int \frac {(A+B x) (a+c x^2)^{5/2}}{x} \, dx\)
  3.4.45 \(\int \frac {(A+B x) (a+c x^2)^{5/2}}{x^2} \, dx\)
  3.4.46 \(\int \frac {(A+B x) (a+c x^2)^{5/2}}{x^3} \, dx\)
  3.4.47 \(\int \frac {(A+B x) (a+c x^2)^{5/2}}{x^4} \, dx\)
  3.4.48 \(\int \frac {(A+B x) (a+c x^2)^{5/2}}{x^5} \, dx\)
  3.4.49 \(\int \frac {(A+B x) (a+c x^2)^{5/2}}{x^6} \, dx\)
  3.4.50 \(\int \frac {(A+B x) (a+c x^2)^{5/2}}{x^7} \, dx\)
  3.4.51 \(\int \frac {(A+B x) (a+c x^2)^{5/2}}{x^8} \, dx\)
  3.4.52 \(\int \frac {(A+B x) (a+c x^2)^{5/2}}{x^9} \, dx\)
  3.4.53 \(\int \frac {(A+B x) (a+c x^2)^{5/2}}{x^{10}} \, dx\)
  3.4.54 \(\int \frac {x^4 (A+B x)}{\sqrt {a+c x^2}} \, dx\)
  3.4.55 \(\int \frac {x^3 (A+B x)}{\sqrt {a+c x^2}} \, dx\)
  3.4.56 \(\int \frac {x^2 (A+B x)}{\sqrt {a+c x^2}} \, dx\)
  3.4.57 \(\int \frac {x (A+B x)}{\sqrt {a+c x^2}} \, dx\)
  3.4.58 \(\int \frac {A+B x}{\sqrt {a+c x^2}} \, dx\)
  3.4.59 \(\int \frac {A+B x}{x \sqrt {a+c x^2}} \, dx\)
  3.4.60 \(\int \frac {A+B x}{x^2 \sqrt {a+c x^2}} \, dx\)
  3.4.61 \(\int \frac {A+B x}{x^3 \sqrt {a+c x^2}} \, dx\)
  3.4.62 \(\int \frac {A+B x}{x^4 \sqrt {a+c x^2}} \, dx\)
  3.4.63 \(\int \frac {A+B x}{x^5 \sqrt {a+c x^2}} \, dx\)
  3.4.64 \(\int \frac {A+B x}{x^6 \sqrt {a+c x^2}} \, dx\)
  3.4.65 \(\int \frac {x^4 (A+B x)}{(a+c x^2)^{3/2}} \, dx\)
  3.4.66 \(\int \frac {x^3 (A+B x)}{(a+c x^2)^{3/2}} \, dx\)
  3.4.67 \(\int \frac {x^2 (A+B x)}{(a+c x^2)^{3/2}} \, dx\)
  3.4.68 \(\int \frac {x (A+B x)}{(a+c x^2)^{3/2}} \, dx\)
  3.4.69 \(\int \frac {A+B x}{(a+c x^2)^{3/2}} \, dx\)
  3.4.70 \(\int \frac {A+B x}{x (a+c x^2)^{3/2}} \, dx\)
  3.4.71 \(\int \frac {A+B x}{x^2 (a+c x^2)^{3/2}} \, dx\)
  3.4.72 \(\int \frac {A+B x}{x^3 (a+c x^2)^{3/2}} \, dx\)
  3.4.73 \(\int \frac {A+B x}{x^4 (a+c x^2)^{3/2}} \, dx\)
  3.4.74 \(\int \frac {x^4 (A+B x)}{(a+c x^2)^{5/2}} \, dx\)
  3.4.75 \(\int \frac {x^3 (A+B x)}{(a+c x^2)^{5/2}} \, dx\)
  3.4.76 \(\int \frac {x^2 (A+B x)}{(a+c x^2)^{5/2}} \, dx\)
  3.4.77 \(\int \frac {x (A+B x)}{(a+c x^2)^{5/2}} \, dx\)
  3.4.78 \(\int \frac {A+B x}{(a+c x^2)^{5/2}} \, dx\)
  3.4.79 \(\int \frac {A+B x}{x (a+c x^2)^{5/2}} \, dx\)
  3.4.80 \(\int \frac {A+B x}{x^2 (a+c x^2)^{5/2}} \, dx\)
  3.4.81 \(\int \frac {A+B x}{x^3 (a+c x^2)^{5/2}} \, dx\)
  3.4.82 \(\int \frac {d+e x}{(a+c x^2)^{7/2}} \, dx\)
  3.4.83 \(\int \frac {d+e x}{(a+c x^2)^{9/2}} \, dx\)
  3.4.84 \(\int x^{7/2} (A+B x) (a+c x^2) \, dx\)
  3.4.85 \(\int x^{5/2} (A+B x) (a+c x^2) \, dx\)
  3.4.86 \(\int x^{3/2} (A+B x) (a+c x^2) \, dx\)
  3.4.87 \(\int \sqrt {x} (A+B x) (a+c x^2) \, dx\)
  3.4.88 \(\int \frac {(A+B x) (a+c x^2)}{\sqrt {x}} \, dx\)
  3.4.89 \(\int \frac {(A+B x) (a+c x^2)}{x^{3/2}} \, dx\)
  3.4.90 \(\int \frac {(A+B x) (a+c x^2)}{x^{5/2}} \, dx\)
  3.4.91 \(\int \frac {(A+B x) (a+c x^2)}{x^{7/2}} \, dx\)
  3.4.92 \(\int \frac {(A+B x) (a+c x^2)}{x^{9/2}} \, dx\)
  3.4.93 \(\int x^{7/2} (A+B x) (a+c x^2)^2 \, dx\)
  3.4.94 \(\int x^{5/2} (A+B x) (a+c x^2)^2 \, dx\)
  3.4.95 \(\int x^{3/2} (A+B x) (a+c x^2)^2 \, dx\)
  3.4.96 \(\int \sqrt {x} (A+B x) (a+c x^2)^2 \, dx\)
  3.4.97 \(\int \frac {(A+B x) (a+c x^2)^2}{\sqrt {x}} \, dx\)
  3.4.98 \(\int \frac {(A+B x) (a+c x^2)^2}{x^{3/2}} \, dx\)
  3.4.99 \(\int \frac {(A+B x) (a+c x^2)^2}{x^{5/2}} \, dx\)
  3.4.100 \(\int \frac {(A+B x) (a+c x^2)^2}{x^{7/2}} \, dx\)