3.4.1 \(\int \frac {1}{x^{3/2} (a+b x^2)^2} \, dx\)
  3.4.2 \(\int \frac {1}{x^{5/2} (a+b x^2)^2} \, dx\)
  3.4.3 \(\int \frac {1}{x^{7/2} (a+b x^2)^2} \, dx\)
  3.4.4 \(\int \frac {x^{7/2}}{(a+b x^2)^3} \, dx\)
  3.4.5 \(\int \frac {x^{5/2}}{(a+b x^2)^3} \, dx\)
  3.4.6 \(\int \frac {x^{3/2}}{(a+b x^2)^3} \, dx\)
  3.4.7 \(\int \frac {\sqrt {x}}{(a+b x^2)^3} \, dx\)
  3.4.8 \(\int \frac {1}{\sqrt {x} (a+b x^2)^3} \, dx\)
  3.4.9 \(\int \frac {1}{x^{3/2} (a+b x^2)^3} \, dx\)
  3.4.10 \(\int \frac {1}{x^{5/2} (a+b x^2)^3} \, dx\)
  3.4.11 \(\int \frac {1}{x^{7/2} (a+b x^2)^3} \, dx\)
  3.4.12 \(\int \frac {\sqrt {x}}{a-b x^2} \, dx\)
  3.4.13 \(\int \frac {x^{7/2}}{1+x^2} \, dx\)
  3.4.14 \(\int \frac {x^{5/2}}{1+x^2} \, dx\)
  3.4.15 \(\int \frac {x^{3/2}}{1+x^2} \, dx\)
  3.4.16 \(\int \frac {\sqrt {x}}{1+x^2} \, dx\)
  3.4.17 \(\int \frac {1}{\sqrt {x} (1+x^2)} \, dx\)
  3.4.18 \(\int \frac {1}{x^{3/2} (1+x^2)} \, dx\)
  3.4.19 \(\int \frac {1}{x^{5/2} (1+x^2)} \, dx\)
  3.4.20 \(\int \frac {1}{x^{7/2} (1+x^2)} \, dx\)
  3.4.21 \(\int \frac {x^{7/2}}{(1+x^2)^2} \, dx\)
  3.4.22 \(\int \frac {x^{5/2}}{(1+x^2)^2} \, dx\)
  3.4.23 \(\int \frac {x^{3/2}}{(1+x^2)^2} \, dx\)
  3.4.24 \(\int \frac {\sqrt {x}}{(1+x^2)^2} \, dx\)
  3.4.25 \(\int \frac {1}{\sqrt {x} (1+x^2)^2} \, dx\)
  3.4.26 \(\int \frac {1}{x^{3/2} (1+x^2)^2} \, dx\)
  3.4.27 \(\int \frac {1}{x^{5/2} (1+x^2)^2} \, dx\)
  3.4.28 \(\int \frac {1}{x^{7/2} (1+x^2)^2} \, dx\)
  3.4.29 \(\int \frac {x^{7/2}}{(1+x^2)^3} \, dx\)
  3.4.30 \(\int \frac {x^{5/2}}{(1+x^2)^3} \, dx\)
  3.4.31 \(\int \frac {x^{3/2}}{(1+x^2)^3} \, dx\)
  3.4.32 \(\int \frac {\sqrt {x}}{(1+x^2)^3} \, dx\)
  3.4.33 \(\int \frac {1}{\sqrt {x} (1+x^2)^3} \, dx\)
  3.4.34 \(\int \frac {1}{x^{3/2} (1+x^2)^3} \, dx\)
  3.4.35 \(\int \frac {1}{x^{5/2} (1+x^2)^3} \, dx\)
  3.4.36 \(\int \frac {1}{x^{7/2} (1+x^2)^3} \, dx\)
  3.4.37 \(\int \frac {\sqrt {x}}{1-x^2} \, dx\)
  3.4.38 \(\int \frac {x^{2/3}}{1+x^2} \, dx\)
  3.4.39 \(\int x^m (a+b x^2)^5 \, dx\)
  3.4.40 \(\int x^m (a+b x^2)^4 \, dx\)
  3.4.41 \(\int x^m (a+b x^2)^3 \, dx\)
  3.4.42 \(\int x^m (a+b x^2)^2 \, dx\)
  3.4.43 \(\int x^m (a+b x^2) \, dx\)
  3.4.44 \(\int x^7 \sqrt {a+b x^2} \, dx\)
  3.4.45 \(\int x^5 \sqrt {a+b x^2} \, dx\)
  3.4.46 \(\int x^3 \sqrt {a+b x^2} \, dx\)
  3.4.47 \(\int x \sqrt {a+b x^2} \, dx\)
  3.4.48 \(\int \frac {\sqrt {a+b x^2}}{x} \, dx\)
  3.4.49 \(\int \frac {\sqrt {a+b x^2}}{x^3} \, dx\)
  3.4.50 \(\int \frac {\sqrt {a+b x^2}}{x^5} \, dx\)
  3.4.51 \(\int \frac {\sqrt {a+b x^2}}{x^7} \, dx\)
  3.4.52 \(\int x^4 \sqrt {a+b x^2} \, dx\)
  3.4.53 \(\int x^2 \sqrt {a+b x^2} \, dx\)
  3.4.54 \(\int \sqrt {a+b x^2} \, dx\)
  3.4.55 \(\int \frac {\sqrt {a+b x^2}}{x^2} \, dx\)
  3.4.56 \(\int \frac {\sqrt {a+b x^2}}{x^4} \, dx\)
  3.4.57 \(\int \frac {\sqrt {a+b x^2}}{x^6} \, dx\)
  3.4.58 \(\int \frac {\sqrt {a+b x^2}}{x^8} \, dx\)
  3.4.59 \(\int \frac {\sqrt {a+b x^2}}{x^{10}} \, dx\)
  3.4.60 \(\int x^7 (a+b x^2)^{3/2} \, dx\)
  3.4.61 \(\int x^5 (a+b x^2)^{3/2} \, dx\)
  3.4.62 \(\int x^3 (a+b x^2)^{3/2} \, dx\)
  3.4.63 \(\int x (a+b x^2)^{3/2} \, dx\)
  3.4.64 \(\int \frac {(a+b x^2)^{3/2}}{x} \, dx\)
  3.4.65 \(\int \frac {(a+b x^2)^{3/2}}{x^3} \, dx\)
  3.4.66 \(\int \frac {(a+b x^2)^{3/2}}{x^5} \, dx\)
  3.4.67 \(\int \frac {(a+b x^2)^{3/2}}{x^7} \, dx\)
  3.4.68 \(\int \frac {(a+b x^2)^{3/2}}{x^9} \, dx\)
  3.4.69 \(\int x^4 (a+b x^2)^{3/2} \, dx\)
  3.4.70 \(\int x^2 (a+b x^2)^{3/2} \, dx\)
  3.4.71 \(\int (a+b x^2)^{3/2} \, dx\)
  3.4.72 \(\int \frac {(a+b x^2)^{3/2}}{x^2} \, dx\)
  3.4.73 \(\int \frac {(a+b x^2)^{3/2}}{x^4} \, dx\)
  3.4.74 \(\int \frac {(a+b x^2)^{3/2}}{x^6} \, dx\)
  3.4.75 \(\int \frac {(a+b x^2)^{3/2}}{x^8} \, dx\)
  3.4.76 \(\int \frac {(a+b x^2)^{3/2}}{x^{10}} \, dx\)
  3.4.77 \(\int \frac {(a+b x^2)^{3/2}}{x^{12}} \, dx\)
  3.4.78 \(\int x^7 (a+b x^2)^{5/2} \, dx\)
  3.4.79 \(\int x^5 (a+b x^2)^{5/2} \, dx\)
  3.4.80 \(\int x^3 (a+b x^2)^{5/2} \, dx\)
  3.4.81 \(\int x (a+b x^2)^{5/2} \, dx\)
  3.4.82 \(\int \frac {(a+b x^2)^{5/2}}{x} \, dx\)
  3.4.83 \(\int \frac {(a+b x^2)^{5/2}}{x^3} \, dx\)
  3.4.84 \(\int \frac {(a+b x^2)^{5/2}}{x^5} \, dx\)
  3.4.85 \(\int \frac {(a+b x^2)^{5/2}}{x^7} \, dx\)
  3.4.86 \(\int \frac {(a+b x^2)^{5/2}}{x^9} \, dx\)
  3.4.87 \(\int \frac {(a+b x^2)^{5/2}}{x^{11}} \, dx\)
  3.4.88 \(\int x^4 (a+b x^2)^{5/2} \, dx\)
  3.4.89 \(\int x^2 (a+b x^2)^{5/2} \, dx\)
  3.4.90 \(\int (a+b x^2)^{5/2} \, dx\)
  3.4.91 \(\int \frac {(a+b x^2)^{5/2}}{x^2} \, dx\)
  3.4.92 \(\int \frac {(a+b x^2)^{5/2}}{x^4} \, dx\)
  3.4.93 \(\int \frac {(a+b x^2)^{5/2}}{x^6} \, dx\)
  3.4.94 \(\int \frac {(a+b x^2)^{5/2}}{x^8} \, dx\)
  3.4.95 \(\int \frac {(a+b x^2)^{5/2}}{x^{10}} \, dx\)
  3.4.96 \(\int \frac {(a+b x^2)^{5/2}}{x^{12}} \, dx\)
  3.4.97 \(\int \frac {(a+b x^2)^{5/2}}{x^{14}} \, dx\)
  3.4.98 \(\int \frac {(a+b x^2)^{5/2}}{x^{16}} \, dx\)
  3.4.99 \(\int \frac {(a+b x^2)^{5/2}}{x^{18}} \, dx\)
  3.4.100 \(\int x^{15} (a+b x^2)^{9/2} \, dx\)