3.19 Integrals 1801 to 1900

  3.19.1 \(\int (d+e x)^3 (a+b x+c x^2)^3 \, dx\)
  3.19.2 \(\int (d+e x)^2 (a+b x+c x^2)^3 \, dx\)
  3.19.3 \(\int (d+e x) (a+b x+c x^2)^3 \, dx\)
  3.19.4 \(\int (a+b x+c x^2)^3 \, dx\)
  3.19.5 \(\int \frac {(a+b x+c x^2)^3}{d+e x} \, dx\)
  3.19.6 \(\int \frac {(a+b x+c x^2)^3}{(d+e x)^2} \, dx\)
  3.19.7 \(\int \frac {(a+b x+c x^2)^3}{(d+e x)^3} \, dx\)
  3.19.8 \(\int \frac {(a+b x+c x^2)^3}{(d+e x)^4} \, dx\)
  3.19.9 \(\int \frac {(a+b x+c x^2)^3}{(d+e x)^5} \, dx\)
  3.19.10 \(\int \frac {(a+b x+c x^2)^3}{(d+e x)^6} \, dx\)
  3.19.11 \(\int \frac {(a+b x+c x^2)^3}{(d+e x)^7} \, dx\)
  3.19.12 \(\int \frac {(a+b x+c x^2)^3}{(d+e x)^8} \, dx\)
  3.19.13 \(\int \frac {(a+b x+c x^2)^3}{(d+e x)^9} \, dx\)
  3.19.14 \(\int \frac {(a+b x+c x^2)^3}{(d+e x)^{10}} \, dx\)
  3.19.15 \(\int (d+e x)^4 (a+b x+c x^2)^4 \, dx\)
  3.19.16 \(\int (d+e x)^3 (a+b x+c x^2)^4 \, dx\)
  3.19.17 \(\int (d+e x)^2 (a+b x+c x^2)^4 \, dx\)
  3.19.18 \(\int (d+e x) (a+b x+c x^2)^4 \, dx\)
  3.19.19 \(\int (a+b x+c x^2)^4 \, dx\)
  3.19.20 \(\int \frac {(a+b x+c x^2)^4}{d+e x} \, dx\)
  3.19.21 \(\int \frac {(a+b x+c x^2)^4}{(d+e x)^2} \, dx\)
  3.19.22 \(\int \frac {(a+b x+c x^2)^4}{(d+e x)^3} \, dx\)
  3.19.23 \(\int \frac {(a+b x+c x^2)^4}{(d+e x)^4} \, dx\)
  3.19.24 \(\int \frac {(a+b x+c x^2)^4}{(d+e x)^5} \, dx\)
  3.19.25 \(\int \frac {(a+b x+c x^2)^4}{(d+e x)^6} \, dx\)
  3.19.26 \(\int \frac {(a+b x+c x^2)^4}{(d+e x)^7} \, dx\)
  3.19.27 \(\int \frac {(a+b x+c x^2)^4}{(d+e x)^8} \, dx\)
  3.19.28 \(\int \frac {(a+b x+c x^2)^4}{(d+e x)^9} \, dx\)
  3.19.29 \(\int \frac {(a+b x+c x^2)^4}{(d+e x)^{10}} \, dx\)
  3.19.30 \(\int \frac {(a+b x+c x^2)^4}{(d+e x)^{11}} \, dx\)
  3.19.31 \(\int \frac {(a+b x+c x^2)^4}{(d+e x)^{12}} \, dx\)
  3.19.32 \(\int x^4 (3-4 x+x^2)^2 \, dx\)
  3.19.33 \(\int x^3 (3-4 x+x^2)^2 \, dx\)
  3.19.34 \(\int x^2 (3-4 x+x^2)^2 \, dx\)
  3.19.35 \(\int x (3-4 x+x^2)^2 \, dx\)
  3.19.36 \(\int (3-4 x+x^2)^2 \, dx\)
  3.19.37 \(\int \frac {(3-4 x+x^2)^2}{x} \, dx\)
  3.19.38 \(\int \frac {(3-4 x+x^2)^2}{x^2} \, dx\)
  3.19.39 \(\int \frac {(3-4 x+x^2)^2}{x^3} \, dx\)
  3.19.40 \(\int \frac {(3-4 x+x^2)^2}{x^4} \, dx\)
  3.19.41 \(\int \frac {(3-4 x+x^2)^2}{x^5} \, dx\)
  3.19.42 \(\int \frac {(3-4 x+x^2)^2}{x^6} \, dx\)
  3.19.43 \(\int \frac {(3-4 x+x^2)^2}{x^7} \, dx\)
  3.19.44 \(\int \frac {2+2 x+x^2}{2+x} \, dx\)
  3.19.45 \(\int \frac {5+4 x+x^2}{-2+x} \, dx\)
  3.19.46 \(\int \frac {2+2 x+x^2}{(1+x)^3} \, dx\)
  3.19.47 \(\int \frac {3+3 x+2 x^2}{(1+x)^3} \, dx\)
  3.19.48 \(\int \frac {1+x+x^2}{x} \, dx\)
  3.19.49 \(\int \frac {9+6 x+x^2}{x^2} \, dx\)
  3.19.50 \(\int \frac {1+2 x+x^2}{x^4} \, dx\)
  3.19.51 \(\int \frac {(d+e x)^4}{a+b x+c x^2} \, dx\)
  3.19.52 \(\int \frac {(d+e x)^3}{a+b x+c x^2} \, dx\)
  3.19.53 \(\int \frac {(d+e x)^2}{a+b x+c x^2} \, dx\)
  3.19.54 \(\int \frac {d+e x}{a+b x+c x^2} \, dx\)
  3.19.55 \(\int \frac {1}{a+b x+c x^2} \, dx\)
  3.19.56 \(\int \frac {1}{(d+e x) (a+b x+c x^2)} \, dx\)
  3.19.57 \(\int \frac {1}{(d+e x)^2 (a+b x+c x^2)} \, dx\)
  3.19.58 \(\int \frac {1}{(d+e x)^3 (a+b x+c x^2)} \, dx\)
  3.19.59 \(\int \frac {(d+e x)^5}{(a+b x+c x^2)^2} \, dx\)
  3.19.60 \(\int \frac {(d+e x)^4}{(a+b x+c x^2)^2} \, dx\)
  3.19.61 \(\int \frac {(d+e x)^3}{(a+b x+c x^2)^2} \, dx\)
  3.19.62 \(\int \frac {(d+e x)^2}{(a+b x+c x^2)^2} \, dx\)
  3.19.63 \(\int \frac {d+e x}{(a+b x+c x^2)^2} \, dx\)
  3.19.64 \(\int \frac {1}{(a+b x+c x^2)^2} \, dx\)
  3.19.65 \(\int \frac {1}{(d+e x) (a+b x+c x^2)^2} \, dx\)
  3.19.66 \(\int \frac {1}{(d+e x)^2 (a+b x+c x^2)^2} \, dx\)
  3.19.67 \(\int \frac {1}{(d+e x)^3 (a+b x+c x^2)^2} \, dx\)
  3.19.68 \(\int \frac {x^7}{(a+b x+c x^2)^3} \, dx\)
  3.19.69 \(\int \frac {x^6}{(a+b x+c x^2)^3} \, dx\)
  3.19.70 \(\int \frac {(d+e x)^5}{(a+b x+c x^2)^3} \, dx\)
  3.19.71 \(\int \frac {(d+e x)^4}{(a+b x+c x^2)^3} \, dx\)
  3.19.72 \(\int \frac {(d+e x)^3}{(a+b x+c x^2)^3} \, dx\)
  3.19.73 \(\int \frac {(d+e x)^2}{(a+b x+c x^2)^3} \, dx\)
  3.19.74 \(\int \frac {d+e x}{(a+b x+c x^2)^3} \, dx\)
  3.19.75 \(\int \frac {1}{(a+b x+c x^2)^3} \, dx\)
  3.19.76 \(\int \frac {1}{(d+e x) (a+b x+c x^2)^3} \, dx\)
  3.19.77 \(\int \frac {1}{x^2 (a+b x+c x^2)^3} \, dx\)
  3.19.78 \(\int \frac {1}{x^3 (a+b x+c x^2)^3} \, dx\)
  3.19.79 \(\int \frac {x^8}{(a+b x+c x^2)^4} \, dx\)
  3.19.80 \(\int \frac {x^7}{(a+b x+c x^2)^4} \, dx\)
  3.19.81 \(\int \frac {x^6}{(a+b x+c x^2)^4} \, dx\)
  3.19.82 \(\int \frac {x^5}{(a+b x+c x^2)^4} \, dx\)
  3.19.83 \(\int \frac {(d+e x)^4}{(a+b x+c x^2)^4} \, dx\)
  3.19.84 \(\int \frac {(d+e x)^3}{(a+b x+c x^2)^4} \, dx\)
  3.19.85 \(\int \frac {(d+e x)^2}{(a+b x+c x^2)^4} \, dx\)
  3.19.86 \(\int \frac {d+e x}{(a+b x+c x^2)^4} \, dx\)
  3.19.87 \(\int \frac {1}{(a+b x+c x^2)^4} \, dx\)
  3.19.88 \(\int \frac {1}{(d+e x) (a+b x+c x^2)^4} \, dx\)
  3.19.89 \(\int \frac {1}{x^2 (a+b x+c x^2)^4} \, dx\)
  3.19.90 \(\int \frac {(d+e x)^5}{(a+b x+c x^2)^5} \, dx\)
  3.19.91 \(\int \frac {(d+e x)^4}{(a+b x+c x^2)^5} \, dx\)
  3.19.92 \(\int \frac {(d+e x)^3}{(a+b x+c x^2)^5} \, dx\)
  3.19.93 \(\int \frac {(d+e x)^2}{(a+b x+c x^2)^5} \, dx\)
  3.19.94 \(\int \frac {d+e x}{(a+b x+c x^2)^5} \, dx\)
  3.19.95 \(\int \frac {1}{(a+b x+c x^2)^5} \, dx\)
  3.19.96 \(\int \frac {1}{(d+e x) (a+b x+c x^2)^5} \, dx\)
  3.19.97 \(\int \frac {1}{(d+e x)^2 (a+b x+c x^2)^5} \, dx\)
  3.19.98 \(\int \frac {1}{(1+2 x) (2+3 x+5 x^2)^3} \, dx\)
  3.19.99 \(\int \frac {1}{(1+2 x)^2 (2+3 x+5 x^2)^3} \, dx\)
  3.19.100 \(\int \frac {1}{(1+2 x) (2+3 x+5 x^2)^4} \, dx\)