3.20 Integrals 1901 to 2000

  3.20.1 \(\int \frac {1}{(1+2 x)^2 (2+3 x+5 x^2)^4} \, dx\)
  3.20.2 \(\int \frac {7-3 x}{-5+2 x+x^2} \, dx\)
  3.20.3 \(\int \frac {1}{(-1+x) (1+x+x^2)} \, dx\)
  3.20.4 \(\int \frac {2 ((\frac {a}{b})^{\frac {1}{n}}-x \cos (\frac {(-1+2 k) \pi }{n}))}{(\frac {a}{b})^{2/n}+x^2-2 (\frac {a}{b})^{\frac {1}{n}} x \cos (\frac {(-1+2 k) \pi }{n})} \, dx\)
  3.20.5 \(\int \frac {x^4}{2+13 x+15 x^2} \, dx\)
  3.20.6 \(\int \frac {x^3}{2+13 x+15 x^2} \, dx\)
  3.20.7 \(\int \frac {x^2}{2+13 x+15 x^2} \, dx\)
  3.20.8 \(\int \frac {x}{2+13 x+15 x^2} \, dx\)
  3.20.9 \(\int \frac {1}{2+13 x+15 x^2} \, dx\)
  3.20.10 \(\int \frac {1}{x (2+13 x+15 x^2)} \, dx\)
  3.20.11 \(\int \frac {1}{x^2 (2+13 x+15 x^2)} \, dx\)
  3.20.12 \(\int \frac {1}{x^3 (2+13 x+15 x^2)} \, dx\)
  3.20.13 \(\int \frac {1}{x^4 (2+13 x+15 x^2)} \, dx\)
  3.20.14 \(\int \frac {x^5}{2 x+13 x^2+15 x^3} \, dx\)
  3.20.15 \(\int \frac {x^4}{2 x+13 x^2+15 x^3} \, dx\)
  3.20.16 \(\int \frac {x^3}{2 x+13 x^2+15 x^3} \, dx\)
  3.20.17 \(\int \frac {x^2}{2 x+13 x^2+15 x^3} \, dx\)
  3.20.18 \(\int \frac {x}{2 x+13 x^2+15 x^3} \, dx\)
  3.20.19 \(\int \frac {1}{2 x+13 x^2+15 x^3} \, dx\)
  3.20.20 \(\int \frac {1}{x (2 x+13 x^2+15 x^3)} \, dx\)
  3.20.21 \(\int \frac {1}{x^2 (2 x+13 x^2+15 x^3)} \, dx\)
  3.20.22 \(\int \frac {1}{x^3 (2 x+13 x^2+15 x^3)} \, dx\)
  3.20.23 \(\int \frac {x}{4+4 x+x^2} \, dx\)
  3.20.24 \(\int \frac {x}{5+2 x+x^2} \, dx\)
  3.20.25 \(\int \frac {x}{6-5 x+x^2} \, dx\)
  3.20.26 \(\int \frac {x}{(2+2 x+x^2)^2} \, dx\)
  3.20.27 \(\int \frac {x}{(1+x+x^2)^3} \, dx\)
  3.20.28 \(\int \frac {x^2}{1+x+x^2} \, dx\)
  3.20.29 \(\int \frac {x^2}{2-3 x+x^2} \, dx\)
  3.20.30 \(\int \frac {x^2}{-6+x+x^2} \, dx\)
  3.20.31 \(\int \frac {x^2}{(2+2 x+x^2)^2} \, dx\)
  3.20.32 \(\int \frac {x^3}{2-3 x+x^2} \, dx\)
  3.20.33 \(\int \frac {x^3}{1+2 x+x^2} \, dx\)
  3.20.34 \(\int \frac {x^3}{1-2 x+x^2} \, dx\)
  3.20.35 \(\int \frac {x^4}{4+4 x+x^2} \, dx\)
  3.20.36 \(\int \frac {1}{x (1+x+x^2)} \, dx\)
  3.20.37 \(\int (d+e x)^{5/2} (a+b x+c x^2) \, dx\)
  3.20.38 \(\int (d+e x)^{3/2} (a+b x+c x^2) \, dx\)
  3.20.39 \(\int \sqrt {d+e x} (a+b x+c x^2) \, dx\)
  3.20.40 \(\int \frac {a+b x+c x^2}{\sqrt {d+e x}} \, dx\)
  3.20.41 \(\int \frac {a+b x+c x^2}{(d+e x)^{3/2}} \, dx\)
  3.20.42 \(\int \frac {a+b x+c x^2}{(d+e x)^{5/2}} \, dx\)
  3.20.43 \(\int \frac {a+b x+c x^2}{(d+e x)^{7/2}} \, dx\)
  3.20.44 \(\int (d+e x)^{5/2} (a+b x+c x^2)^2 \, dx\)
  3.20.45 \(\int (d+e x)^{3/2} (a+b x+c x^2)^2 \, dx\)
  3.20.46 \(\int \sqrt {d+e x} (a+b x+c x^2)^2 \, dx\)
  3.20.47 \(\int \frac {(a+b x+c x^2)^2}{\sqrt {d+e x}} \, dx\)
  3.20.48 \(\int \frac {(a+b x+c x^2)^2}{(d+e x)^{3/2}} \, dx\)
  3.20.49 \(\int \frac {(a+b x+c x^2)^2}{(d+e x)^{5/2}} \, dx\)
  3.20.50 \(\int \frac {(a+b x+c x^2)^2}{(d+e x)^{7/2}} \, dx\)
  3.20.51 \(\int (d+e x)^{5/2} (a+b x+c x^2)^3 \, dx\)
  3.20.52 \(\int (d+e x)^{3/2} (a+b x+c x^2)^3 \, dx\)
  3.20.53 \(\int \sqrt {d+e x} (a+b x+c x^2)^3 \, dx\)
  3.20.54 \(\int \frac {(a+b x+c x^2)^3}{\sqrt {d+e x}} \, dx\)
  3.20.55 \(\int \frac {(a+b x+c x^2)^3}{(d+e x)^{3/2}} \, dx\)
  3.20.56 \(\int \frac {(a+b x+c x^2)^3}{(d+e x)^{5/2}} \, dx\)
  3.20.57 \(\int \frac {(a+b x+c x^2)^3}{(d+e x)^{7/2}} \, dx\)
  3.20.58 \(\int \frac {(d+e x)^{5/2}}{a+b x+c x^2} \, dx\)
  3.20.59 \(\int \frac {(d+e x)^{3/2}}{a+b x+c x^2} \, dx\)
  3.20.60 \(\int \frac {\sqrt {d+e x}}{a+b x+c x^2} \, dx\)
  3.20.61 \(\int \frac {1}{\sqrt {d+e x} (a+b x+c x^2)} \, dx\)
  3.20.62 \(\int \frac {1}{(d+e x)^{3/2} (a+b x+c x^2)} \, dx\)
  3.20.63 \(\int \frac {1}{(d+e x)^{5/2} (a+b x+c x^2)} \, dx\)
  3.20.64 \(\int \frac {(d+e x)^{7/2}}{(a+b x+c x^2)^2} \, dx\)
  3.20.65 \(\int \frac {(d+e x)^{5/2}}{(a+b x+c x^2)^2} \, dx\)
  3.20.66 \(\int \frac {(d+e x)^{3/2}}{(a+b x+c x^2)^2} \, dx\)
  3.20.67 \(\int \frac {\sqrt {d+e x}}{(a+b x+c x^2)^2} \, dx\)
  3.20.68 \(\int \frac {1}{\sqrt {d+e x} (a+b x+c x^2)^2} \, dx\)
  3.20.69 \(\int \frac {1}{(d+e x)^{3/2} (a+b x+c x^2)^2} \, dx\)
  3.20.70 \(\int \frac {1}{x^{5/2} (a+b x+c x^2)^2} \, dx\)
  3.20.71 \(\int \frac {(d+e x)^{7/2}}{(a+b x+c x^2)^3} \, dx\)
  3.20.72 \(\int \frac {(d+e x)^{5/2}}{(a+b x+c x^2)^3} \, dx\)
  3.20.73 \(\int \frac {(d+e x)^{3/2}}{(a+b x+c x^2)^3} \, dx\)
  3.20.74 \(\int \frac {\sqrt {d+e x}}{(a+b x+c x^2)^3} \, dx\)
  3.20.75 \(\int \frac {1}{\sqrt {d+e x} (a+b x+c x^2)^3} \, dx\)
  3.20.76 \(\int \frac {\sqrt {d+e x}}{a+i b x+c x^2} \, dx\)
  3.20.77 \(\int \frac {1}{\sqrt {d+e x} (a+i b x+c x^2)} \, dx\)
  3.20.78 \(\int \frac {(1+2 x)^{7/2}}{2+3 x+5 x^2} \, dx\)
  3.20.79 \(\int \frac {(1+2 x)^{5/2}}{2+3 x+5 x^2} \, dx\)
  3.20.80 \(\int \frac {(1+2 x)^{3/2}}{2+3 x+5 x^2} \, dx\)
  3.20.81 \(\int \frac {\sqrt {1+2 x}}{2+3 x+5 x^2} \, dx\)
  3.20.82 \(\int \frac {1}{\sqrt {1+2 x} (2+3 x+5 x^2)} \, dx\)
  3.20.83 \(\int \frac {1}{(1+2 x)^{3/2} (2+3 x+5 x^2)} \, dx\)
  3.20.84 \(\int \frac {1}{(1+2 x)^{5/2} (2+3 x+5 x^2)} \, dx\)
  3.20.85 \(\int \frac {(1+2 x)^{7/2}}{(2+3 x+5 x^2)^2} \, dx\)
  3.20.86 \(\int \frac {(1+2 x)^{5/2}}{(2+3 x+5 x^2)^2} \, dx\)
  3.20.87 \(\int \frac {(1+2 x)^{3/2}}{(2+3 x+5 x^2)^2} \, dx\)
  3.20.88 \(\int \frac {\sqrt {1+2 x}}{(2+3 x+5 x^2)^2} \, dx\)
  3.20.89 \(\int \frac {1}{\sqrt {1+2 x} (2+3 x+5 x^2)^2} \, dx\)
  3.20.90 \(\int \frac {1}{(1+2 x)^{3/2} (2+3 x+5 x^2)^2} \, dx\)
  3.20.91 \(\int \frac {1}{(1+2 x)^{5/2} (2+3 x+5 x^2)^2} \, dx\)
  3.20.92 \(\int \frac {(1+2 x)^{9/2}}{(2+3 x+5 x^2)^3} \, dx\)
  3.20.93 \(\int \frac {(1+2 x)^{7/2}}{(2+3 x+5 x^2)^3} \, dx\)
  3.20.94 \(\int \frac {(1+2 x)^{5/2}}{(2+3 x+5 x^2)^3} \, dx\)
  3.20.95 \(\int \frac {(1+2 x)^{3/2}}{(2+3 x+5 x^2)^3} \, dx\)
  3.20.96 \(\int \frac {\sqrt {1+2 x}}{(2+3 x+5 x^2)^3} \, dx\)
  3.20.97 \(\int \frac {1}{\sqrt {1+2 x} (2+3 x+5 x^2)^3} \, dx\)
  3.20.98 \(\int \frac {1}{(1+2 x)^{3/2} (2+3 x+5 x^2)^3} \, dx\)
  3.20.99 \(\int \frac {x^{9/2}}{(a+b x+c x^2)^3} \, dx\)
  3.20.100 \(\int \frac {1}{x^{3/2} (a+b x+c x^2)^3} \, dx\)