3.1.1 \(\int x^2 (a x+b x^3) \, dx\)
  3.1.2 \(\int x (a x+b x^3) \, dx\)
  3.1.3 \(\int (a x+b x^3) \, dx\)
  3.1.4 \(\int \frac {a x+b x^3}{x} \, dx\)
  3.1.5 \(\int \frac {a x+b x^3}{x^2} \, dx\)
  3.1.6 \(\int x^2 (a x+b x^3)^2 \, dx\)
  3.1.7 \(\int x (a x+b x^3)^2 \, dx\)
  3.1.8 \(\int (a x+b x^3)^2 \, dx\)
  3.1.9 \(\int \frac {(a x+b x^3)^2}{x} \, dx\)
  3.1.10 \(\int \frac {(a x+b x^3)^2}{x^2} \, dx\)
  3.1.11 \(\int (-4 x+3 x^3)^6 \, dx\)
  3.1.12 \(\int \frac {x^4}{a x+b x^3} \, dx\)
  3.1.13 \(\int \frac {x^3}{a x+b x^3} \, dx\)
  3.1.14 \(\int \frac {x^2}{a x+b x^3} \, dx\)
  3.1.15 \(\int \frac {x}{a x+b x^3} \, dx\)
  3.1.16 \(\int \frac {1}{a x+b x^3} \, dx\)
  3.1.17 \(\int \frac {1}{x (a x+b x^3)} \, dx\)
  3.1.18 \(\int \frac {1}{x^2 (a x+b x^3)} \, dx\)
  3.1.19 \(\int \frac {1}{x^3 (a x+b x^3)} \, dx\)
  3.1.20 \(\int \frac {1}{x^4 (a x+b x^3)} \, dx\)
  3.1.21 \(\int \frac {x^2}{(a x+b x^3)^2} \, dx\)
  3.1.22 \(\int \frac {x}{(a x+b x^3)^2} \, dx\)
  3.1.23 \(\int \frac {1}{(a x+b x^3)^2} \, dx\)
  3.1.24 \(\int \frac {1}{x (a x+b x^3)^2} \, dx\)
  3.1.25 \(\int \frac {1}{x^2 (a x+b x^3)^2} \, dx\)
  3.1.26 \(\int \frac {x^5}{x-x^3} \, dx\)
  3.1.27 \(\int \frac {x^4}{x-x^3} \, dx\)
  3.1.28 \(\int \frac {x^3}{x-x^3} \, dx\)
  3.1.29 \(\int \frac {x^2}{x-x^3} \, dx\)
  3.1.30 \(\int \frac {x}{x-x^3} \, dx\)
  3.1.31 \(\int \frac {1}{x-x^3} \, dx\)
  3.1.32 \(\int \frac {1}{x (x-x^3)} \, dx\)
  3.1.33 \(\int \frac {1}{x^2 (x-x^3)} \, dx\)
  3.1.34 \(\int \frac {1}{x^3 (x-x^3)} \, dx\)
  3.1.35 \(\int \frac {1}{x^4 (x-x^3)} \, dx\)
  3.1.36 \(\int \frac {1}{x+b x^3} \, dx\)
  3.1.37 \(\int \frac {1}{-x+b x^3} \, dx\)
  3.1.38 \(\int \frac {x^{29/2}}{(a x+b x^3)^{9/2}} \, dx\)
  3.1.39 \(\int \frac {x^{27/2}}{(a x+b x^3)^{9/2}} \, dx\)
  3.1.40 \(\int \frac {x^{25/2}}{(a x+b x^3)^{9/2}} \, dx\)
  3.1.41 \(\int \frac {x^{23/2}}{(a x+b x^3)^{9/2}} \, dx\)
  3.1.42 \(\int \frac {x^{21/2}}{(a x+b x^3)^{9/2}} \, dx\)
  3.1.43 \(\int \frac {x^{19/2}}{(a x+b x^3)^{9/2}} \, dx\)
  3.1.44 \(\int \frac {x^{17/2}}{(a x+b x^3)^{9/2}} \, dx\)
  3.1.45 \(\int \frac {x^{15/2}}{(a x+b x^3)^{9/2}} \, dx\)
  3.1.46 \(\int \frac {x^{13/2}}{(a x+b x^3)^{9/2}} \, dx\)
  3.1.47 \(\int \frac {x^{11/2}}{(a x+b x^3)^{9/2}} \, dx\)
  3.1.48 \(\int \frac {x^{9/2}}{(a x+b x^3)^{9/2}} \, dx\)
  3.1.49 \(\int \frac {x^{7/2}}{(a x+b x^3)^{9/2}} \, dx\)
  3.1.50 \(\int \frac {x^{5/2}}{(a x+b x^3)^{9/2}} \, dx\)
  3.1.51 \(\int \frac {x^{3/2}}{(a x+b x^3)^{9/2}} \, dx\)
  3.1.52 \(\int \frac {\sqrt {x}}{(a x+b x^3)^{9/2}} \, dx\)
  3.1.53 \(\int \frac {1}{\sqrt {x} (a x+b x^3)^{9/2}} \, dx\)
  3.1.54 \(\int \frac {1}{x^{3/2} (a x+b x^3)^{9/2}} \, dx\)
  3.1.55 \(\int \frac {x^4}{\sqrt {a x+b x^4}} \, dx\)
  3.1.56 \(\int \frac {x}{\sqrt {a x+b x^4}} \, dx\)
  3.1.57 \(\int \frac {1}{x^2 \sqrt {a x+b x^4}} \, dx\)
  3.1.58 \(\int \frac {1}{x^5 \sqrt {a x+b x^4}} \, dx\)
  3.1.59 \(\int \frac {1}{x^8 \sqrt {a x+b x^4}} \, dx\)
  3.1.60 \(\int \frac {x^2}{\sqrt {b \sqrt {x}+a x}} \, dx\)
  3.1.61 \(\int \frac {x}{\sqrt {b \sqrt {x}+a x}} \, dx\)
  3.1.62 \(\int \frac {1}{\sqrt {b \sqrt {x}+a x}} \, dx\)
  3.1.63 \(\int \frac {1}{x \sqrt {b \sqrt {x}+a x}} \, dx\)
  3.1.64 \(\int \frac {1}{x^2 \sqrt {b \sqrt {x}+a x}} \, dx\)
  3.1.65 \(\int \frac {1}{x^3 \sqrt {b \sqrt {x}+a x}} \, dx\)
  3.1.66 \(\int \frac {1}{x^4 \sqrt {b \sqrt {x}+a x}} \, dx\)
  3.1.67 \(\int \frac {x^3}{(b \sqrt {x}+a x)^{3/2}} \, dx\)
  3.1.68 \(\int \frac {x^2}{(b \sqrt {x}+a x)^{3/2}} \, dx\)
  3.1.69 \(\int \frac {x}{(b \sqrt {x}+a x)^{3/2}} \, dx\)
  3.1.70 \(\int \frac {1}{(b \sqrt {x}+a x)^{3/2}} \, dx\)
  3.1.71 \(\int \frac {1}{x (b \sqrt {x}+a x)^{3/2}} \, dx\)
  3.1.72 \(\int \frac {1}{x^2 (b \sqrt {x}+a x)^{3/2}} \, dx\)
  3.1.73 \(\int \frac {1}{x^3 (b \sqrt {x}+a x)^{3/2}} \, dx\)
  3.1.74 \(\int \frac {x^{5/2}}{\sqrt {b \sqrt {x}+a x}} \, dx\)
  3.1.75 \(\int \frac {x^{3/2}}{\sqrt {b \sqrt {x}+a x}} \, dx\)
  3.1.76 \(\int \frac {\sqrt {x}}{\sqrt {b \sqrt {x}+a x}} \, dx\)
  3.1.77 \(\int \frac {1}{\sqrt {x} \sqrt {b \sqrt {x}+a x}} \, dx\)
  3.1.78 \(\int \frac {1}{x^{3/2} \sqrt {b \sqrt {x}+a x}} \, dx\)
  3.1.79 \(\int \frac {1}{x^{5/2} \sqrt {b \sqrt {x}+a x}} \, dx\)
  3.1.80 \(\int \frac {1}{x^{7/2} \sqrt {b \sqrt {x}+a x}} \, dx\)
  3.1.81 \(\int \frac {x^{5/2}}{(b \sqrt {x}+a x)^{3/2}} \, dx\)
  3.1.82 \(\int \frac {x^{3/2}}{(b \sqrt {x}+a x)^{3/2}} \, dx\)
  3.1.83 \(\int \frac {\sqrt {x}}{(b \sqrt {x}+a x)^{3/2}} \, dx\)
  3.1.84 \(\int \frac {1}{\sqrt {x} (b \sqrt {x}+a x)^{3/2}} \, dx\)
  3.1.85 \(\int \frac {1}{x^{3/2} (b \sqrt {x}+a x)^{3/2}} \, dx\)
  3.1.86 \(\int \frac {1}{x^{5/2} (b \sqrt {x}+a x)^{3/2}} \, dx\)
  3.1.87 \(\int \frac {1}{x^{7/2} (b \sqrt {x}+a x)^{3/2}} \, dx\)
  3.1.88 \(\int x^3 \sqrt {b x^{2/3}+a x} \, dx\)
  3.1.89 \(\int x^2 \sqrt {b x^{2/3}+a x} \, dx\)
  3.1.90 \(\int x \sqrt {b x^{2/3}+a x} \, dx\)
  3.1.91 \(\int \sqrt {b x^{2/3}+a x} \, dx\)
  3.1.92 \(\int \frac {\sqrt {b x^{2/3}+a x}}{x} \, dx\)
  3.1.93 \(\int \frac {\sqrt {b x^{2/3}+a x}}{x^2} \, dx\)
  3.1.94 \(\int \frac {\sqrt {b x^{2/3}+a x}}{x^3} \, dx\)
  3.1.95 \(\int \frac {\sqrt {b x^{2/3}+a x}}{x^4} \, dx\)
  3.1.96 \(\int \frac {\sqrt {b x^{2/3}+a x}}{x^5} \, dx\)
  3.1.97 \(\int x^2 (b x^{2/3}+a x)^{3/2} \, dx\)
  3.1.98 \(\int x (b x^{2/3}+a x)^{3/2} \, dx\)
  3.1.99 \(\int (b x^{2/3}+a x)^{3/2} \, dx\)
  3.1.100 \(\int \frac {(b x^{2/3}+a x)^{3/2}}{x} \, dx\)