3.5 Integrals 401 to 500

  3.5.1 \(\int \frac {(A+B x) (a+c x^2)^2}{x^{9/2}} \, dx\)
  3.5.2 \(\int x^{7/2} (A+B x) (a+c x^2)^3 \, dx\)
  3.5.3 \(\int x^{5/2} (A+B x) (a+c x^2)^3 \, dx\)
  3.5.4 \(\int x^{3/2} (A+B x) (a+c x^2)^3 \, dx\)
  3.5.5 \(\int \sqrt {x} (A+B x) (a+c x^2)^3 \, dx\)
  3.5.6 \(\int \frac {(A+B x) (a+c x^2)^3}{\sqrt {x}} \, dx\)
  3.5.7 \(\int \frac {(A+B x) (a+c x^2)^3}{x^{3/2}} \, dx\)
  3.5.8 \(\int \frac {(A+B x) (a+c x^2)^3}{x^{5/2}} \, dx\)
  3.5.9 \(\int \frac {(A+B x) (a+c x^2)^3}{x^{7/2}} \, dx\)
  3.5.10 \(\int \frac {(A+B x) (a+c x^2)^3}{x^{9/2}} \, dx\)
  3.5.11 \(\int \frac {(A+B x) (a+c x^2)^3}{x^{11/2}} \, dx\)
  3.5.12 \(\int \frac {x^{5/2} (A+B x)}{a+c x^2} \, dx\)
  3.5.13 \(\int \frac {x^{3/2} (A+B x)}{a+c x^2} \, dx\)
  3.5.14 \(\int \frac {\sqrt {x} (A+B x)}{a+c x^2} \, dx\)
  3.5.15 \(\int \frac {A+B x}{\sqrt {x} (a+c x^2)} \, dx\)
  3.5.16 \(\int \frac {A+B x}{x^{3/2} (a+c x^2)} \, dx\)
  3.5.17 \(\int \frac {A+B x}{x^{5/2} (a+c x^2)} \, dx\)
  3.5.18 \(\int \frac {A+B x}{x^{7/2} (a+c x^2)} \, dx\)
  3.5.19 \(\int \frac {A+B x}{x^{9/2} (a+c x^2)} \, dx\)
  3.5.20 \(\int \frac {x^{5/2} (A+B x)}{(a+c x^2)^2} \, dx\)
  3.5.21 \(\int \frac {x^{3/2} (A+B x)}{(a+c x^2)^2} \, dx\)
  3.5.22 \(\int \frac {\sqrt {x} (A+B x)}{(a+c x^2)^2} \, dx\)
  3.5.23 \(\int \frac {A+B x}{\sqrt {x} (a+c x^2)^2} \, dx\)
  3.5.24 \(\int \frac {A+B x}{x^{3/2} (a+c x^2)^2} \, dx\)
  3.5.25 \(\int \frac {A+B x}{x^{5/2} (a+c x^2)^2} \, dx\)
  3.5.26 \(\int \frac {x^{7/2} (A+B x)}{(a+c x^2)^3} \, dx\)
  3.5.27 \(\int \frac {x^{5/2} (A+B x)}{(a+c x^2)^3} \, dx\)
  3.5.28 \(\int \frac {x^{3/2} (A+B x)}{(a+c x^2)^3} \, dx\)
  3.5.29 \(\int \frac {\sqrt {x} (A+B x)}{(a+c x^2)^3} \, dx\)
  3.5.30 \(\int \frac {A+B x}{\sqrt {x} (a+c x^2)^3} \, dx\)
  3.5.31 \(\int \frac {A+B x}{x^{3/2} (a+c x^2)^3} \, dx\)
  3.5.32 \(\int \frac {1-x}{\sqrt {x} (1+x^2)} \, dx\)
  3.5.33 \(\int (e x)^m (A+B x) (a+c x^2)^4 \, dx\)
  3.5.34 \(\int (e x)^m (A+B x) (a+c x^2)^3 \, dx\)
  3.5.35 \(\int (e x)^m (A+B x) (a+c x^2)^2 \, dx\)
  3.5.36 \(\int (e x)^m (A+B x) (a+c x^2) \, dx\)
  3.5.37 \(\int x^4 (A+B x) (a^2+2 a b x+b^2 x^2) \, dx\)
  3.5.38 \(\int x^3 (A+B x) (a^2+2 a b x+b^2 x^2) \, dx\)
  3.5.39 \(\int x^2 (A+B x) (a^2+2 a b x+b^2 x^2) \, dx\)
  3.5.40 \(\int x (A+B x) (a^2+2 a b x+b^2 x^2) \, dx\)
  3.5.41 \(\int (A+B x) (a^2+2 a b x+b^2 x^2) \, dx\)
  3.5.42 \(\int \frac {(A+B x) (a^2+2 a b x+b^2 x^2)}{x} \, dx\)
  3.5.43 \(\int \frac {(A+B x) (a^2+2 a b x+b^2 x^2)}{x^2} \, dx\)
  3.5.44 \(\int \frac {(A+B x) (a^2+2 a b x+b^2 x^2)}{x^3} \, dx\)
  3.5.45 \(\int \frac {(A+B x) (a^2+2 a b x+b^2 x^2)}{x^4} \, dx\)
  3.5.46 \(\int \frac {(A+B x) (a^2+2 a b x+b^2 x^2)}{x^5} \, dx\)
  3.5.47 \(\int \frac {(A+B x) (a^2+2 a b x+b^2 x^2)}{x^6} \, dx\)
  3.5.48 \(\int \frac {(A+B x) (a^2+2 a b x+b^2 x^2)}{x^7} \, dx\)
  3.5.49 \(\int \frac {(A+B x) (a^2+2 a b x+b^2 x^2)}{x^8} \, dx\)
  3.5.50 \(\int x^4 (A+B x) (a^2+2 a b x+b^2 x^2)^2 \, dx\)
  3.5.51 \(\int x^3 (A+B x) (a^2+2 a b x+b^2 x^2)^2 \, dx\)
  3.5.52 \(\int x^2 (A+B x) (a^2+2 a b x+b^2 x^2)^2 \, dx\)
  3.5.53 \(\int x (A+B x) (a^2+2 a b x+b^2 x^2)^2 \, dx\)
  3.5.54 \(\int (A+B x) (a^2+2 a b x+b^2 x^2)^2 \, dx\)
  3.5.55 \(\int \frac {(A+B x) (a^2+2 a b x+b^2 x^2)^2}{x} \, dx\)
  3.5.56 \(\int \frac {(A+B x) (a^2+2 a b x+b^2 x^2)^2}{x^2} \, dx\)
  3.5.57 \(\int \frac {(A+B x) (a^2+2 a b x+b^2 x^2)^2}{x^3} \, dx\)
  3.5.58 \(\int \frac {(A+B x) (a^2+2 a b x+b^2 x^2)^2}{x^4} \, dx\)
  3.5.59 \(\int \frac {(A+B x) (a^2+2 a b x+b^2 x^2)^2}{x^5} \, dx\)
  3.5.60 \(\int \frac {(A+B x) (a^2+2 a b x+b^2 x^2)^2}{x^6} \, dx\)
  3.5.61 \(\int \frac {(A+B x) (a^2+2 a b x+b^2 x^2)^2}{x^7} \, dx\)
  3.5.62 \(\int \frac {(A+B x) (a^2+2 a b x+b^2 x^2)^2}{x^8} \, dx\)
  3.5.63 \(\int \frac {(A+B x) (a^2+2 a b x+b^2 x^2)^2}{x^9} \, dx\)
  3.5.64 \(\int \frac {(A+B x) (a^2+2 a b x+b^2 x^2)^2}{x^{10}} \, dx\)
  3.5.65 \(\int \frac {(A+B x) (a^2+2 a b x+b^2 x^2)^2}{x^{11}} \, dx\)
  3.5.66 \(\int x^5 (A+B x) (a^2+2 a b x+b^2 x^2)^3 \, dx\)
  3.5.67 \(\int x^4 (A+B x) (a^2+2 a b x+b^2 x^2)^3 \, dx\)
  3.5.68 \(\int x^3 (A+B x) (a^2+2 a b x+b^2 x^2)^3 \, dx\)
  3.5.69 \(\int x^2 (A+B x) (a^2+2 a b x+b^2 x^2)^3 \, dx\)
  3.5.70 \(\int x (A+B x) (a^2+2 a b x+b^2 x^2)^3 \, dx\)
  3.5.71 \(\int (A+B x) (a^2+2 a b x+b^2 x^2)^3 \, dx\)
  3.5.72 \(\int \frac {(A+B x) (a^2+2 a b x+b^2 x^2)^3}{x} \, dx\)
  3.5.73 \(\int \frac {(A+B x) (a^2+2 a b x+b^2 x^2)^3}{x^2} \, dx\)
  3.5.74 \(\int \frac {(A+B x) (a^2+2 a b x+b^2 x^2)^3}{x^3} \, dx\)
  3.5.75 \(\int \frac {(A+B x) (a^2+2 a b x+b^2 x^2)^3}{x^4} \, dx\)
  3.5.76 \(\int \frac {(A+B x) (a^2+2 a b x+b^2 x^2)^3}{x^5} \, dx\)
  3.5.77 \(\int \frac {(A+B x) (a^2+2 a b x+b^2 x^2)^3}{x^6} \, dx\)
  3.5.78 \(\int \frac {(A+B x) (a^2+2 a b x+b^2 x^2)^3}{x^7} \, dx\)
  3.5.79 \(\int \frac {(A+B x) (a^2+2 a b x+b^2 x^2)^3}{x^8} \, dx\)
  3.5.80 \(\int \frac {(A+B x) (a^2+2 a b x+b^2 x^2)^3}{x^9} \, dx\)
  3.5.81 \(\int \frac {(A+B x) (a^2+2 a b x+b^2 x^2)^3}{x^{10}} \, dx\)
  3.5.82 \(\int \frac {(A+B x) (a^2+2 a b x+b^2 x^2)^3}{x^{11}} \, dx\)
  3.5.83 \(\int \frac {(A+B x) (a^2+2 a b x+b^2 x^2)^3}{x^{12}} \, dx\)
  3.5.84 \(\int \frac {(A+B x) (a^2+2 a b x+b^2 x^2)^3}{x^{13}} \, dx\)
  3.5.85 \(\int \frac {(A+B x) (a^2+2 a b x+b^2 x^2)^3}{x^{14}} \, dx\)
  3.5.86 \(\int x^7 (d+e x) (1+2 x+x^2)^5 \, dx\)
  3.5.87 \(\int x^6 (d+e x) (1+2 x+x^2)^5 \, dx\)
  3.5.88 \(\int x^5 (d+e x) (1+2 x+x^2)^5 \, dx\)
  3.5.89 \(\int x^4 (d+e x) (1+2 x+x^2)^5 \, dx\)
  3.5.90 \(\int x^3 (d+e x) (1+2 x+x^2)^5 \, dx\)
  3.5.91 \(\int x^2 (d+e x) (1+2 x+x^2)^5 \, dx\)
  3.5.92 \(\int x (d+e x) (1+2 x+x^2)^5 \, dx\)
  3.5.93 \(\int (d+e x) (1+2 x+x^2)^5 \, dx\)
  3.5.94 \(\int \frac {(d+e x) (1+2 x+x^2)^5}{x} \, dx\)
  3.5.95 \(\int \frac {(d+e x) (1+2 x+x^2)^5}{x^2} \, dx\)
  3.5.96 \(\int \frac {(d+e x) (1+2 x+x^2)^5}{x^3} \, dx\)
  3.5.97 \(\int \frac {(d+e x) (1+2 x+x^2)^5}{x^4} \, dx\)
  3.5.98 \(\int \frac {(d+e x) (1+2 x+x^2)^5}{x^5} \, dx\)
  3.5.99 \(\int \frac {(d+e x) (1+2 x+x^2)^5}{x^6} \, dx\)
  3.5.100 \(\int \frac {(d+e x) (1+2 x+x^2)^5}{x^7} \, dx\)