3.21.1 \(\int \frac {3-x+x^2}{\sqrt [3]{x}} \, dx\)
  3.21.2 \(\int (d+e x)^3 \sqrt {a+b x+c x^2} \, dx\)
  3.21.3 \(\int (d+e x)^2 \sqrt {a+b x+c x^2} \, dx\)
  3.21.4 \(\int (d+e x) \sqrt {a+b x+c x^2} \, dx\)
  3.21.5 \(\int \sqrt {a+b x+c x^2} \, dx\)
  3.21.6 \(\int \frac {\sqrt {a+b x+c x^2}}{d+e x} \, dx\)
  3.21.7 \(\int \frac {\sqrt {a+b x+c x^2}}{(d+e x)^2} \, dx\)
  3.21.8 \(\int \frac {\sqrt {a+b x+c x^2}}{(d+e x)^3} \, dx\)
  3.21.9 \(\int \frac {\sqrt {a+b x+c x^2}}{(d+e x)^4} \, dx\)
  3.21.10 \(\int \frac {\sqrt {a+b x+c x^2}}{(d+e x)^5} \, dx\)
  3.21.11 \(\int \frac {\sqrt {a+b x+c x^2}}{(d+e x)^6} \, dx\)
  3.21.12 \(\int (d+e x)^3 (a+b x+c x^2)^{3/2} \, dx\)
  3.21.13 \(\int (d+e x)^2 (a+b x+c x^2)^{3/2} \, dx\)
  3.21.14 \(\int (d+e x) (a+b x+c x^2)^{3/2} \, dx\)
  3.21.15 \(\int (a+b x+c x^2)^{3/2} \, dx\)
  3.21.16 \(\int \frac {(a+b x+c x^2)^{3/2}}{d+e x} \, dx\)
  3.21.17 \(\int \frac {(a+b x+c x^2)^{3/2}}{(d+e x)^2} \, dx\)
  3.21.18 \(\int \frac {(a+b x+c x^2)^{3/2}}{(d+e x)^3} \, dx\)
  3.21.19 \(\int \frac {(a+b x+c x^2)^{3/2}}{(d+e x)^4} \, dx\)
  3.21.20 \(\int \frac {(a+b x+c x^2)^{3/2}}{(d+e x)^5} \, dx\)
  3.21.21 \(\int \frac {(a+b x+c x^2)^{3/2}}{(d+e x)^6} \, dx\)
  3.21.22 \(\int \frac {(a+b x+c x^2)^{3/2}}{(d+e x)^7} \, dx\)
  3.21.23 \(\int \frac {(a+b x+c x^2)^{3/2}}{(d+e x)^8} \, dx\)
  3.21.24 \(\int (d+e x)^3 (a+b x+c x^2)^{5/2} \, dx\)
  3.21.25 \(\int (d+e x)^2 (a+b x+c x^2)^{5/2} \, dx\)
  3.21.26 \(\int (d+e x) (a+b x+c x^2)^{5/2} \, dx\)
  3.21.27 \(\int (a+b x+c x^2)^{5/2} \, dx\)
  3.21.28 \(\int \frac {(a+b x+c x^2)^{5/2}}{d+e x} \, dx\)
  3.21.29 \(\int \frac {(a+b x+c x^2)^{5/2}}{(d+e x)^2} \, dx\)
  3.21.30 \(\int \frac {(a+b x+c x^2)^{5/2}}{(d+e x)^3} \, dx\)
  3.21.31 \(\int \frac {(a+b x+c x^2)^{5/2}}{(d+e x)^4} \, dx\)
  3.21.32 \(\int \frac {(a+b x+c x^2)^{5/2}}{(d+e x)^5} \, dx\)
  3.21.33 \(\int \frac {\sqrt {-2-3 x+5 x^2}}{x} \, dx\)
  3.21.34 \(\int \frac {\sqrt {2-x-x^2}}{x^2} \, dx\)
  3.21.35 \(\int (1+x)^3 \sqrt {2+2 x+x^2} \, dx\)
  3.21.36 \(\int (-2+3 x) \sqrt {8+12 x+9 x^2} \, dx\)
  3.21.37 \(\int (7-2 x) \sqrt {9+16 x-4 x^2} \, dx\)
  3.21.38 \(\int \frac {\sqrt {-1-x+x^2}}{1+x} \, dx\)
  3.21.39 \(\int \frac {\sqrt {-1-x+x^2}}{1-x} \, dx\)
  3.21.40 \(\int \frac {x^6}{\sqrt {a+b x+c x^2}} \, dx\)
  3.21.41 \(\int \frac {x^5}{\sqrt {a+b x+c x^2}} \, dx\)
  3.21.42 \(\int \frac {(d+e x)^4}{\sqrt {a+b x+c x^2}} \, dx\)
  3.21.43 \(\int \frac {(d+e x)^3}{\sqrt {a+b x+c x^2}} \, dx\)
  3.21.44 \(\int \frac {(d+e x)^2}{\sqrt {a+b x+c x^2}} \, dx\)
  3.21.45 \(\int \frac {d+e x}{\sqrt {a+b x+c x^2}} \, dx\)
  3.21.46 \(\int \frac {1}{\sqrt {a+b x+c x^2}} \, dx\)
  3.21.47 \(\int \frac {1}{(d+e x) \sqrt {a+b x+c x^2}} \, dx\)
  3.21.48 \(\int \frac {1}{(d+e x)^2 \sqrt {a+b x+c x^2}} \, dx\)
  3.21.49 \(\int \frac {1}{(d+e x)^3 \sqrt {a+b x+c x^2}} \, dx\)
  3.21.50 \(\int \frac {1}{(d+e x)^4 \sqrt {a+b x+c x^2}} \, dx\)
  3.21.51 \(\int \frac {(d+e x)^4}{(a+b x+c x^2)^{3/2}} \, dx\)
  3.21.52 \(\int \frac {(d+e x)^3}{(a+b x+c x^2)^{3/2}} \, dx\)
  3.21.53 \(\int \frac {(d+e x)^2}{(a+b x+c x^2)^{3/2}} \, dx\)
  3.21.54 \(\int \frac {d+e x}{(a+b x+c x^2)^{3/2}} \, dx\)
  3.21.55 \(\int \frac {1}{(a+b x+c x^2)^{3/2}} \, dx\)
  3.21.56 \(\int \frac {1}{(d+e x) (a+b x+c x^2)^{3/2}} \, dx\)
  3.21.57 \(\int \frac {1}{(d+e x)^2 (a+b x+c x^2)^{3/2}} \, dx\)
  3.21.58 \(\int \frac {1}{(d+e x)^3 (a+b x+c x^2)^{3/2}} \, dx\)
  3.21.59 \(\int \frac {1}{(d+e x)^4 (a+b x+c x^2)^{3/2}} \, dx\)
  3.21.60 \(\int \frac {(d+e x)^5}{(a+b x+c x^2)^{5/2}} \, dx\)
  3.21.61 \(\int \frac {(d+e x)^4}{(a+b x+c x^2)^{5/2}} \, dx\)
  3.21.62 \(\int \frac {(d+e x)^3}{(a+b x+c x^2)^{5/2}} \, dx\)
  3.21.63 \(\int \frac {(d+e x)^2}{(a+b x+c x^2)^{5/2}} \, dx\)
  3.21.64 \(\int \frac {d+e x}{(a+b x+c x^2)^{5/2}} \, dx\)
  3.21.65 \(\int \frac {1}{(a+b x+c x^2)^{5/2}} \, dx\)
  3.21.66 \(\int \frac {1}{(d+e x) (a+b x+c x^2)^{5/2}} \, dx\)
  3.21.67 \(\int \frac {1}{(d+e x)^2 (a+b x+c x^2)^{5/2}} \, dx\)
  3.21.68 \(\int \frac {1}{(d+e x)^3 (a+b x+c x^2)^{5/2}} \, dx\)
  3.21.69 \(\int \frac {3+x}{\sqrt {5-4 x-x^2}} \, dx\)
  3.21.70 \(\int \frac {5-4 x}{\sqrt {-8+12 x-4 x^2}} \, dx\)
  3.21.71 \(\int \frac {3+2 x}{\sqrt {5+2 x+x^2}} \, dx\)
  3.21.72 \(\int \frac {-1+x}{\sqrt {3-4 x+x^2}} \, dx\)
  3.21.73 \(\int \frac {1}{(1-x) \sqrt {-4+2 x+x^2}} \, dx\)
  3.21.74 \(\int \frac {1}{(-2+x) \sqrt {3-4 x+x^2}} \, dx\)
  3.21.75 \(\int \frac {1+x}{(2+3 x+x^2)^{3/2}} \, dx\)
  3.21.76 \(\int \frac {1}{(d+e x) \sqrt {\frac {b^2}{4 c}+b x+c x^2}} \, dx\)
  3.21.77 \(\int \frac {1}{(\frac {b e}{2 c}+e x) \sqrt {a+b x+c x^2}} \, dx\)
  3.21.78 \(\int \frac {1}{(d+e x) \sqrt {\frac {-c d^2+b d e}{e^2}+b x+c x^2}} \, dx\)
  3.21.79 \(\int \frac {1}{(\frac {b e}{2 c}+e x) \sqrt {\frac {b^2}{4 c}+b x+c x^2}} \, dx\)
  3.21.80 \(\int \frac {x}{\sqrt {2+4 x+3 x^2}} \, dx\)
  3.21.81 \(\int \frac {x}{\sqrt {2+4 x-3 x^2}} \, dx\)
  3.21.82 \(\int \frac {x}{\sqrt {2+5 x+3 x^2}} \, dx\)
  3.21.83 \(\int \frac {x}{\sqrt {2+5 x-3 x^2}} \, dx\)
  3.21.84 \(\int \frac {x}{\sqrt {-2+4 x+3 x^2}} \, dx\)
  3.21.85 \(\int \frac {x}{\sqrt {-2+4 x-3 x^2}} \, dx\)
  3.21.86 \(\int \frac {x}{\sqrt {-2+5 x+3 x^2}} \, dx\)
  3.21.87 \(\int \frac {x}{\sqrt {-2+5 x-3 x^2}} \, dx\)
  3.21.88 \(\int \frac {1}{x \sqrt {4+12 x+9 x^2}} \, dx\)
  3.21.89 \(\int \frac {1}{x \sqrt {4-12 x+9 x^2}} \, dx\)
  3.21.90 \(\int \frac {1}{x \sqrt {-4+12 x-9 x^2}} \, dx\)
  3.21.91 \(\int \frac {1}{x \sqrt {-4-12 x-9 x^2}} \, dx\)
  3.21.92 \(\int \frac {1}{x \sqrt {a^2+2 a b x+b^2 x^2}} \, dx\)
  3.21.93 \(\int \frac {1}{x \sqrt {a^2-2 a b x+b^2 x^2}} \, dx\)
  3.21.94 \(\int \frac {1}{x \sqrt {-a^2+2 a b x-b^2 x^2}} \, dx\)
  3.21.95 \(\int \frac {1}{x \sqrt {-a^2-2 a b x-b^2 x^2}} \, dx\)
  3.21.96 \(\int x \sqrt {3-2 x-x^2} \, dx\)
  3.21.97 \(\int x \sqrt {8+2 x-x^2} \, dx\)
  3.21.98 \(\int x \sqrt {4+2 x+x^2} \, dx\)
  3.21.99 \(\int \frac {1}{x \sqrt {2+4 x+3 x^2}} \, dx\)
  3.21.100 \(\int \frac {1}{x \sqrt {2+4 x-3 x^2}} \, dx\)