3.4 Integrals 301 to 400

  3.4.1 \(\int \frac {x}{(a+b x)^3 (c+d x)^3} \, dx\)
  3.4.2 \(\int \frac {1}{(a+b x)^3 (c+d x)^3} \, dx\)
  3.4.3 \(\int \frac {1}{x (a+b x)^3 (c+d x)^3} \, dx\)
  3.4.4 \(\int \frac {1}{x^2 (a+b x)^3 (c+d x)^3} \, dx\)
  3.4.5 \(\int x^{7/2} (a+b x) (A+B x) \, dx\)
  3.4.6 \(\int x^{5/2} (a+b x) (A+B x) \, dx\)
  3.4.7 \(\int x^{3/2} (a+b x) (A+B x) \, dx\)
  3.4.8 \(\int \sqrt {x} (a+b x) (A+B x) \, dx\)
  3.4.9 \(\int \frac {(a+b x) (A+B x)}{\sqrt {x}} \, dx\)
  3.4.10 \(\int \frac {(a+b x) (A+B x)}{x^{3/2}} \, dx\)
  3.4.11 \(\int \frac {(a+b x) (A+B x)}{x^{5/2}} \, dx\)
  3.4.12 \(\int \frac {(a+b x) (A+B x)}{x^{7/2}} \, dx\)
  3.4.13 \(\int x^{7/2} (a+b x)^2 (A+B x) \, dx\)
  3.4.14 \(\int x^{5/2} (a+b x)^2 (A+B x) \, dx\)
  3.4.15 \(\int x^{3/2} (a+b x)^2 (A+B x) \, dx\)
  3.4.16 \(\int \sqrt {x} (a+b x)^2 (A+B x) \, dx\)
  3.4.17 \(\int \frac {(a+b x)^2 (A+B x)}{\sqrt {x}} \, dx\)
  3.4.18 \(\int \frac {(a+b x)^2 (A+B x)}{x^{3/2}} \, dx\)
  3.4.19 \(\int \frac {(a+b x)^2 (A+B x)}{x^{5/2}} \, dx\)
  3.4.20 \(\int \frac {(a+b x)^2 (A+B x)}{x^{7/2}} \, dx\)
  3.4.21 \(\int x^{7/2} (a+b x)^3 (A+B x) \, dx\)
  3.4.22 \(\int x^{5/2} (a+b x)^3 (A+B x) \, dx\)
  3.4.23 \(\int x^{3/2} (a+b x)^3 (A+B x) \, dx\)
  3.4.24 \(\int \sqrt {x} (a+b x)^3 (A+B x) \, dx\)
  3.4.25 \(\int \frac {(a+b x)^3 (A+B x)}{\sqrt {x}} \, dx\)
  3.4.26 \(\int \frac {(a+b x)^3 (A+B x)}{x^{3/2}} \, dx\)
  3.4.27 \(\int \frac {(a+b x)^3 (A+B x)}{x^{5/2}} \, dx\)
  3.4.28 \(\int \frac {(a+b x)^3 (A+B x)}{x^{7/2}} \, dx\)
  3.4.29 \(\int \frac {(2-3 x)^3 \sqrt {x}}{(1+x)^2} \, dx\)
  3.4.30 \(\int \frac {x^{7/2} (A+B x)}{a+b x} \, dx\)
  3.4.31 \(\int \frac {x^{5/2} (A+B x)}{a+b x} \, dx\)
  3.4.32 \(\int \frac {x^{3/2} (A+B x)}{a+b x} \, dx\)
  3.4.33 \(\int \frac {\sqrt {x} (A+B x)}{a+b x} \, dx\)
  3.4.34 \(\int \frac {A+B x}{\sqrt {x} (a+b x)} \, dx\)
  3.4.35 \(\int \frac {A+B x}{x^{3/2} (a+b x)} \, dx\)
  3.4.36 \(\int \frac {A+B x}{x^{5/2} (a+b x)} \, dx\)
  3.4.37 \(\int \frac {A+B x}{x^{7/2} (a+b x)} \, dx\)
  3.4.38 \(\int \frac {A+B x}{x^{9/2} (a+b x)} \, dx\)
  3.4.39 \(\int \frac {A+B x}{x^{11/2} (a+b x)} \, dx\)
  3.4.40 \(\int \frac {x^{7/2} (A+B x)}{(a+b x)^2} \, dx\)
  3.4.41 \(\int \frac {x^{5/2} (A+B x)}{(a+b x)^2} \, dx\)
  3.4.42 \(\int \frac {x^{3/2} (A+B x)}{(a+b x)^2} \, dx\)
  3.4.43 \(\int \frac {\sqrt {x} (A+B x)}{(a+b x)^2} \, dx\)
  3.4.44 \(\int \frac {A+B x}{\sqrt {x} (a+b x)^2} \, dx\)
  3.4.45 \(\int \frac {A+B x}{x^{3/2} (a+b x)^2} \, dx\)
  3.4.46 \(\int \frac {A+B x}{x^{5/2} (a+b x)^2} \, dx\)
  3.4.47 \(\int \frac {A+B x}{x^{7/2} (a+b x)^2} \, dx\)
  3.4.48 \(\int \frac {A+B x}{x^{9/2} (a+b x)^2} \, dx\)
  3.4.49 \(\int \frac {x^{7/2} (A+B x)}{(a+b x)^3} \, dx\)
  3.4.50 \(\int \frac {x^{5/2} (A+B x)}{(a+b x)^3} \, dx\)
  3.4.51 \(\int \frac {x^{3/2} (A+B x)}{(a+b x)^3} \, dx\)
  3.4.52 \(\int \frac {\sqrt {x} (A+B x)}{(a+b x)^3} \, dx\)
  3.4.53 \(\int \frac {A+B x}{\sqrt {x} (a+b x)^3} \, dx\)
  3.4.54 \(\int \frac {A+B x}{x^{3/2} (a+b x)^3} \, dx\)
  3.4.55 \(\int \frac {A+B x}{x^{5/2} (a+b x)^3} \, dx\)
  3.4.56 \(\int \frac {A+B x}{x^{7/2} (a+b x)^3} \, dx\)
  3.4.57 \(\int x^m (a+b x)^4 (A+B x) \, dx\)
  3.4.58 \(\int x^m (a+b x)^3 (A+B x) \, dx\)
  3.4.59 \(\int x^m (a+b x)^2 (A+B x) \, dx\)
  3.4.60 \(\int x^m (a+b x) (A+B x) \, dx\)
  3.4.61 \(\int x^m (a+b x)^2 (c+d x)^5 \, dx\)
  3.4.62 \(\int x^4 \sqrt {a+b x} (A+B x) \, dx\)
  3.4.63 \(\int x^3 \sqrt {a+b x} (A+B x) \, dx\)
  3.4.64 \(\int x^2 \sqrt {a+b x} (A+B x) \, dx\)
  3.4.65 \(\int x \sqrt {a+b x} (A+B x) \, dx\)
  3.4.66 \(\int \sqrt {a+b x} (A+B x) \, dx\)
  3.4.67 \(\int \frac {\sqrt {a+b x} (A+B x)}{x} \, dx\)
  3.4.68 \(\int \frac {\sqrt {a+b x} (A+B x)}{x^2} \, dx\)
  3.4.69 \(\int \frac {\sqrt {a+b x} (A+B x)}{x^3} \, dx\)
  3.4.70 \(\int \frac {\sqrt {a+b x} (A+B x)}{x^4} \, dx\)
  3.4.71 \(\int \frac {\sqrt {a+b x} (A+B x)}{x^5} \, dx\)
  3.4.72 \(\int \frac {\sqrt {a+b x} (A+B x)}{x^6} \, dx\)
  3.4.73 \(\int x^4 (a+b x)^{3/2} (A+B x) \, dx\)
  3.4.74 \(\int x^3 (a+b x)^{3/2} (A+B x) \, dx\)
  3.4.75 \(\int x^2 (a+b x)^{3/2} (A+B x) \, dx\)
  3.4.76 \(\int x (a+b x)^{3/2} (A+B x) \, dx\)
  3.4.77 \(\int (a+b x)^{3/2} (A+B x) \, dx\)
  3.4.78 \(\int \frac {(a+b x)^{3/2} (A+B x)}{x} \, dx\)
  3.4.79 \(\int \frac {(a+b x)^{3/2} (A+B x)}{x^2} \, dx\)
  3.4.80 \(\int \frac {(a+b x)^{3/2} (A+B x)}{x^3} \, dx\)
  3.4.81 \(\int \frac {(a+b x)^{3/2} (A+B x)}{x^4} \, dx\)
  3.4.82 \(\int \frac {(a+b x)^{3/2} (A+B x)}{x^5} \, dx\)
  3.4.83 \(\int \frac {(a+b x)^{3/2} (A+B x)}{x^6} \, dx\)
  3.4.84 \(\int \frac {(a+b x)^{3/2} (A+B x)}{x^7} \, dx\)
  3.4.85 \(\int x^4 (a+b x)^{5/2} (A+B x) \, dx\)
  3.4.86 \(\int x^3 (a+b x)^{5/2} (A+B x) \, dx\)
  3.4.87 \(\int x^2 (a+b x)^{5/2} (A+B x) \, dx\)
  3.4.88 \(\int x (a+b x)^{5/2} (A+B x) \, dx\)
  3.4.89 \(\int (a+b x)^{5/2} (A+B x) \, dx\)
  3.4.90 \(\int \frac {(a+b x)^{5/2} (A+B x)}{x} \, dx\)
  3.4.91 \(\int \frac {(a+b x)^{5/2} (A+B x)}{x^2} \, dx\)
  3.4.92 \(\int \frac {(a+b x)^{5/2} (A+B x)}{x^3} \, dx\)
  3.4.93 \(\int \frac {(a+b x)^{5/2} (A+B x)}{x^4} \, dx\)
  3.4.94 \(\int \frac {(a+b x)^{5/2} (A+B x)}{x^5} \, dx\)
  3.4.95 \(\int \frac {(a+b x)^{5/2} (A+B x)}{x^6} \, dx\)
  3.4.96 \(\int \frac {(a+b x)^{5/2} (A+B x)}{x^7} \, dx\)
  3.4.97 \(\int \frac {(a+b x)^{5/2} (A+B x)}{x^8} \, dx\)
  3.4.98 \(\int \frac {x^4 (A+B x)}{\sqrt {a+b x}} \, dx\)
  3.4.99 \(\int \frac {x^3 (A+B x)}{\sqrt {a+b x}} \, dx\)
  3.4.100 \(\int \frac {x^2 (A+B x)}{\sqrt {a+b x}} \, dx\)