3.1.1 \(\int x^3 \sqrt {b x+c x^2} \, dx\)
  3.1.2 \(\int x^2 \sqrt {b x+c x^2} \, dx\)
  3.1.3 \(\int x \sqrt {b x+c x^2} \, dx\)
  3.1.4 \(\int \sqrt {b x+c x^2} \, dx\)
  3.1.5 \(\int \frac {\sqrt {b x+c x^2}}{x} \, dx\)
  3.1.6 \(\int \frac {\sqrt {b x+c x^2}}{x^2} \, dx\)
  3.1.7 \(\int \frac {\sqrt {b x+c x^2}}{x^3} \, dx\)
  3.1.8 \(\int \frac {\sqrt {b x+c x^2}}{x^4} \, dx\)
  3.1.9 \(\int \frac {\sqrt {b x+c x^2}}{x^5} \, dx\)
  3.1.10 \(\int \frac {\sqrt {b x+c x^2}}{x^6} \, dx\)
  3.1.11 \(\int \frac {\sqrt {b x+c x^2}}{x^7} \, dx\)
  3.1.12 \(\int x^2 (b x+c x^2)^{3/2} \, dx\)
  3.1.13 \(\int x (b x+c x^2)^{3/2} \, dx\)
  3.1.14 \(\int (b x+c x^2)^{3/2} \, dx\)
  3.1.15 \(\int \frac {(b x+c x^2)^{3/2}}{x} \, dx\)
  3.1.16 \(\int \frac {(b x+c x^2)^{3/2}}{x^2} \, dx\)
  3.1.17 \(\int \frac {(b x+c x^2)^{3/2}}{x^3} \, dx\)
  3.1.18 \(\int \frac {(b x+c x^2)^{3/2}}{x^4} \, dx\)
  3.1.19 \(\int \frac {(b x+c x^2)^{3/2}}{x^5} \, dx\)
  3.1.20 \(\int \frac {(b x+c x^2)^{3/2}}{x^6} \, dx\)
  3.1.21 \(\int \frac {(b x+c x^2)^{3/2}}{x^7} \, dx\)
  3.1.22 \(\int \frac {(b x+c x^2)^{3/2}}{x^8} \, dx\)
  3.1.23 \(\int \frac {(b x+c x^2)^{3/2}}{x^9} \, dx\)
  3.1.24 \(\int x^2 (a x+b x^2)^{5/2} \, dx\)
  3.1.25 \(\int x (a x+b x^2)^{5/2} \, dx\)
  3.1.26 \(\int (a x+b x^2)^{5/2} \, dx\)
  3.1.27 \(\int \frac {(a x+b x^2)^{5/2}}{x} \, dx\)
  3.1.28 \(\int \frac {(a x+b x^2)^{5/2}}{x^2} \, dx\)
  3.1.29 \(\int \frac {(a x+b x^2)^{5/2}}{x^3} \, dx\)
  3.1.30 \(\int \frac {(a x+b x^2)^{5/2}}{x^4} \, dx\)
  3.1.31 \(\int \frac {(a x+b x^2)^{5/2}}{x^5} \, dx\)
  3.1.32 \(\int \frac {(a x+b x^2)^{5/2}}{x^6} \, dx\)
  3.1.33 \(\int \frac {(a x+b x^2)^{5/2}}{x^7} \, dx\)
  3.1.34 \(\int \frac {(a x+b x^2)^{5/2}}{x^8} \, dx\)
  3.1.35 \(\int \frac {(a x+b x^2)^{5/2}}{x^9} \, dx\)
  3.1.36 \(\int \frac {(a x+b x^2)^{5/2}}{x^{10}} \, dx\)
  3.1.37 \(\int \frac {(a x+b x^2)^{5/2}}{x^{11}} \, dx\)
  3.1.38 \(\int \frac {(a x+b x^2)^{5/2}}{x^{12}} \, dx\)
  3.1.39 \(\int x \sqrt {2 x-x^2} \, dx\)
  3.1.40 \(\int x \sqrt {3 x-4 x^2} \, dx\)
  3.1.41 \(\int x \sqrt {x+x^2} \, dx\)
  3.1.42 \(\int \frac {x^4}{\sqrt {b x+c x^2}} \, dx\)
  3.1.43 \(\int \frac {x^3}{\sqrt {b x+c x^2}} \, dx\)
  3.1.44 \(\int \frac {x^2}{\sqrt {b x+c x^2}} \, dx\)
  3.1.45 \(\int \frac {x}{\sqrt {b x+c x^2}} \, dx\)
  3.1.46 \(\int \frac {1}{\sqrt {b x+c x^2}} \, dx\)
  3.1.47 \(\int \frac {1}{x \sqrt {b x+c x^2}} \, dx\)
  3.1.48 \(\int \frac {1}{x^2 \sqrt {b x+c x^2}} \, dx\)
  3.1.49 \(\int \frac {1}{x^3 \sqrt {b x+c x^2}} \, dx\)
  3.1.50 \(\int \frac {1}{x^4 \sqrt {b x+c x^2}} \, dx\)
  3.1.51 \(\int \frac {1}{x^5 \sqrt {b x+c x^2}} \, dx\)
  3.1.52 \(\int \frac {x^4}{(b x+c x^2)^{3/2}} \, dx\)
  3.1.53 \(\int \frac {x^3}{(b x+c x^2)^{3/2}} \, dx\)
  3.1.54 \(\int \frac {x^2}{(b x+c x^2)^{3/2}} \, dx\)
  3.1.55 \(\int \frac {x}{(b x+c x^2)^{3/2}} \, dx\)
  3.1.56 \(\int \frac {1}{(b x+c x^2)^{3/2}} \, dx\)
  3.1.57 \(\int \frac {1}{x (b x+c x^2)^{3/2}} \, dx\)
  3.1.58 \(\int \frac {1}{x^2 (b x+c x^2)^{3/2}} \, dx\)
  3.1.59 \(\int \frac {1}{x^3 (b x+c x^2)^{3/2}} \, dx\)
  3.1.60 \(\int \frac {x^6}{(a x+b x^2)^{5/2}} \, dx\)
  3.1.61 \(\int \frac {x^5}{(a x+b x^2)^{5/2}} \, dx\)
  3.1.62 \(\int \frac {x^4}{(a x+b x^2)^{5/2}} \, dx\)
  3.1.63 \(\int \frac {x^3}{(a x+b x^2)^{5/2}} \, dx\)
  3.1.64 \(\int \frac {x^2}{(a x+b x^2)^{5/2}} \, dx\)
  3.1.65 \(\int \frac {x}{(a x+b x^2)^{5/2}} \, dx\)
  3.1.66 \(\int \frac {1}{(a x+b x^2)^{5/2}} \, dx\)
  3.1.67 \(\int \frac {1}{x (a x+b x^2)^{5/2}} \, dx\)
  3.1.68 \(\int \frac {1}{x^2 (a x+b x^2)^{5/2}} \, dx\)
  3.1.69 \(\int \frac {x}{\sqrt {4 x-x^2}} \, dx\)
  3.1.70 \(\int \frac {x}{\sqrt {-4 x+x^2}} \, dx\)
  3.1.71 \(\int \frac {x^2}{\sqrt {2 x-x^2}} \, dx\)
  3.1.72 \(\int x^{7/2} \sqrt {b x+c x^2} \, dx\)
  3.1.73 \(\int x^{5/2} \sqrt {b x+c x^2} \, dx\)
  3.1.74 \(\int x^{3/2} \sqrt {b x+c x^2} \, dx\)
  3.1.75 \(\int \sqrt {x} \sqrt {b x+c x^2} \, dx\)
  3.1.76 \(\int \frac {\sqrt {b x+c x^2}}{\sqrt {x}} \, dx\)
  3.1.77 \(\int \frac {\sqrt {b x+c x^2}}{x^{3/2}} \, dx\)
  3.1.78 \(\int \frac {\sqrt {b x+c x^2}}{x^{5/2}} \, dx\)
  3.1.79 \(\int \frac {\sqrt {b x+c x^2}}{x^{7/2}} \, dx\)
  3.1.80 \(\int \frac {\sqrt {b x+c x^2}}{x^{9/2}} \, dx\)
  3.1.81 \(\int \frac {\sqrt {b x+c x^2}}{x^{11/2}} \, dx\)
  3.1.82 \(\int x^{7/2} (b x+c x^2)^{3/2} \, dx\)
  3.1.83 \(\int x^{5/2} (b x+c x^2)^{3/2} \, dx\)
  3.1.84 \(\int x^{3/2} (b x+c x^2)^{3/2} \, dx\)
  3.1.85 \(\int \sqrt {x} (b x+c x^2)^{3/2} \, dx\)
  3.1.86 \(\int \frac {(b x+c x^2)^{3/2}}{\sqrt {x}} \, dx\)
  3.1.87 \(\int \frac {(b x+c x^2)^{3/2}}{x^{3/2}} \, dx\)
  3.1.88 \(\int \frac {(b x+c x^2)^{3/2}}{x^{5/2}} \, dx\)
  3.1.89 \(\int \frac {(b x+c x^2)^{3/2}}{x^{7/2}} \, dx\)
  3.1.90 \(\int \frac {(b x+c x^2)^{3/2}}{x^{9/2}} \, dx\)
  3.1.91 \(\int \frac {(b x+c x^2)^{3/2}}{x^{11/2}} \, dx\)
  3.1.92 \(\int \frac {(b x+c x^2)^{3/2}}{x^{13/2}} \, dx\)
  3.1.93 \(\int \frac {(b x+c x^2)^{3/2}}{x^{15/2}} \, dx\)
  3.1.94 \(\int \frac {x^{7/2}}{\sqrt {b x+c x^2}} \, dx\)
  3.1.95 \(\int \frac {x^{5/2}}{\sqrt {b x+c x^2}} \, dx\)
  3.1.96 \(\int \frac {x^{3/2}}{\sqrt {b x+c x^2}} \, dx\)
  3.1.97 \(\int \frac {\sqrt {x}}{\sqrt {b x+c x^2}} \, dx\)
  3.1.98 \(\int \frac {1}{\sqrt {x} \sqrt {b x+c x^2}} \, dx\)
  3.1.99 \(\int \frac {1}{x^{3/2} \sqrt {b x+c x^2}} \, dx\)
  3.1.100 \(\int \frac {1}{x^{5/2} \sqrt {b x+c x^2}} \, dx\)