3.2.1 \(\int \frac {x}{a+b (c+d x)^3} \, dx\)
  3.2.2 \(\int \frac {1}{a+b (c+d x)^3} \, dx\)
  3.2.3 \(\int \frac {1}{x (a+b (c+d x)^3)} \, dx\)
  3.2.4 \(\int \frac {1}{x^2 (a+b (c+d x)^3)} \, dx\)
  3.2.5 \(\int \frac {1}{x^3 (a+b (c+d x)^3)} \, dx\)
  3.2.6 \(\int \frac {x^3}{a+b (c+d x)^4} \, dx\)
  3.2.7 \(\int \frac {x^2}{a+b (c+d x)^4} \, dx\)
  3.2.8 \(\int \frac {x}{a+b (c+d x)^4} \, dx\)
  3.2.9 \(\int \frac {1}{a+b (c+d x)^4} \, dx\)
  3.2.10 \(\int \frac {1}{x (a+b (c+d x)^4)} \, dx\)
  3.2.11 \(\int \frac {1}{x^2 (a+b (c+d x)^4)} \, dx\)
  3.2.12 \(\int (a+8 x-8 x^2+4 x^3-x^4)^4 \, dx\)
  3.2.13 \(\int (a+8 x-8 x^2+4 x^3-x^4)^3 \, dx\)
  3.2.14 \(\int (a+8 x-8 x^2+4 x^3-x^4)^2 \, dx\)
  3.2.15 \(\int (a+8 x-8 x^2+4 x^3-x^4) \, dx\)
  3.2.16 \(\int \frac {1}{a+8 x-8 x^2+4 x^3-x^4} \, dx\)
  3.2.17 \(\int \frac {1}{(a+8 x-8 x^2+4 x^3-x^4)^2} \, dx\)
  3.2.18 \(\int \frac {1}{(a+8 x-8 x^2+4 x^3-x^4)^3} \, dx\)
  3.2.19 \(\int x (a+8 x-8 x^2+4 x^3-x^4)^4 \, dx\)
  3.2.20 \(\int x (a+8 x-8 x^2+4 x^3-x^4)^3 \, dx\)
  3.2.21 \(\int x (a+8 x-8 x^2+4 x^3-x^4)^2 \, dx\)
  3.2.22 \(\int x (a+8 x-8 x^2+4 x^3-x^4) \, dx\)
  3.2.23 \(\int \frac {x}{a+8 x-8 x^2+4 x^3-x^4} \, dx\)
  3.2.24 \(\int \frac {x}{(a+8 x-8 x^2+4 x^3-x^4)^2} \, dx\)
  3.2.25 \(\int \frac {x}{(a+8 x-8 x^2+4 x^3-x^4)^3} \, dx\)
  3.2.26 \(\int x^2 (a+8 x-8 x^2+4 x^3-x^4)^4 \, dx\)
  3.2.27 \(\int x^2 (a+8 x-8 x^2+4 x^3-x^4)^3 \, dx\)
  3.2.28 \(\int x^2 (a+8 x-8 x^2+4 x^3-x^4)^2 \, dx\)
  3.2.29 \(\int x^2 (a+8 x-8 x^2+4 x^3-x^4) \, dx\)
  3.2.30 \(\int \frac {x^2}{a+8 x-8 x^2+4 x^3-x^4} \, dx\)
  3.2.31 \(\int \frac {x^2}{(a+8 x-8 x^2+4 x^3-x^4)^2} \, dx\)
  3.2.32 \(\int \frac {x^4}{27 a^3+27 a^2 b x^2+27 a^2 c x^3+9 a b^2 x^4+b^3 x^6} \, dx\)
  3.2.33 \(\int \frac {x^3}{27 a^3+27 a^2 b x^2+27 a^2 c x^3+9 a b^2 x^4+b^3 x^6} \, dx\)
  3.2.34 \(\int \frac {x^2}{27 a^3+27 a^2 b x^2+27 a^2 c x^3+9 a b^2 x^4+b^3 x^6} \, dx\)
  3.2.35 \(\int \frac {x}{27 a^3+27 a^2 b x^2+27 a^2 c x^3+9 a b^2 x^4+b^3 x^6} \, dx\)
  3.2.36 \(\int \frac {1}{27 a^3+27 a^2 b x^2+27 a^2 c x^3+9 a b^2 x^4+b^3 x^6} \, dx\)
  3.2.37 \(\int \frac {1}{x (27 a^3+27 a^2 b x^2+27 a^2 c x^3+9 a b^2 x^4+b^3 x^6)} \, dx\)
  3.2.38 \(\int \frac {1}{x^2 (27 a^3+27 a^2 b x^2+27 a^2 c x^3+9 a b^2 x^4+b^3 x^6)} \, dx\)
  3.2.39 \(\int \frac {x^5}{216+108 x^2+324 x^3+18 x^4+x^6} \, dx\)
  3.2.40 \(\int \frac {x^4}{216+108 x^2+324 x^3+18 x^4+x^6} \, dx\)
  3.2.41 \(\int \frac {x^3}{216+108 x^2+324 x^3+18 x^4+x^6} \, dx\)
  3.2.42 \(\int \frac {x^2}{216+108 x^2+324 x^3+18 x^4+x^6} \, dx\)
  3.2.43 \(\int \frac {x}{216+108 x^2+324 x^3+18 x^4+x^6} \, dx\)
  3.2.44 \(\int \frac {1}{216+108 x^2+324 x^3+18 x^4+x^6} \, dx\)
  3.2.45 \(\int \frac {1}{x (216+108 x^2+324 x^3+18 x^4+x^6)} \, dx\)
  3.2.46 \(\int \frac {1}{x^2 (216+108 x^2+324 x^3+18 x^4+x^6)} \, dx\)
  3.2.47 \(\int \frac {x^8}{(216+108 x^2+324 x^3+18 x^4+x^6)^2} \, dx\)
  3.2.48 \(\int \frac {x^7}{(216+108 x^2+324 x^3+18 x^4+x^6)^2} \, dx\)
  3.2.49 \(\int \frac {x^6}{(216+108 x^2+324 x^3+18 x^4+x^6)^2} \, dx\)
  3.2.50 \(\int \frac {x^5}{(216+108 x^2+324 x^3+18 x^4+x^6)^2} \, dx\)
  3.2.51 \(\int \frac {x^4}{(216+108 x^2+324 x^3+18 x^4+x^6)^2} \, dx\)
  3.2.52 \(\int \frac {x^3}{(216+108 x^2+324 x^3+18 x^4+x^6)^2} \, dx\)
  3.2.53 \(\int \frac {x^2}{(216+108 x^2+324 x^3+18 x^4+x^6)^2} \, dx\)
  3.2.54 \(\int \frac {a^2 c+a^2 d x+2 a b c x^2+2 a b d x^3+b^2 c x^4+b^2 d x^5}{c+d x} \, dx\)
  3.2.55 \(\int \frac {a^2 c+a^2 d x+2 a b c x^2+2 a b d x^3+b^2 c x^4+b^2 d x^5}{(c+d x)^2} \, dx\)
  3.2.56 \(\int (b+2 c x) (b x+c x^2)^{13} \, dx\)
  3.2.57 \(\int x^{14} (b+2 c x^2) (b x+c x^3)^{13} \, dx\)
  3.2.58 \(\int x^{28} (b+2 c x^3) (b x+c x^4)^{13} \, dx\)
  3.2.59 \(\int x^{14 (-1+n)} (b+2 c x^n) (b x+c x^{1+n})^{13} \, dx\)
  3.2.60 \(\int \frac {b+2 c x}{b x+c x^2} \, dx\)
  3.2.61 \(\int \frac {b+2 c x^2}{b x+c x^3} \, dx\)
  3.2.62 \(\int \frac {b+2 c x^3}{b x+c x^4} \, dx\)
  3.2.63 \(\int \frac {b+2 c x^n}{b x+c x^{1+n}} \, dx\)
  3.2.64 \(\int \frac {b+2 c x}{(b x+c x^2)^8} \, dx\)
  3.2.65 \(\int \frac {b+2 c x^2}{x^7 (b x+c x^3)^8} \, dx\)
  3.2.66 \(\int \frac {b+2 c x^3}{x^{14} (b x+c x^4)^8} \, dx\)
  3.2.67 \(\int \frac {x^{-7 (-1+n)} (b+2 c x^n)}{(b x+c x^{1+n})^8} \, dx\)
  3.2.68 \(\int (b+2 c x) (b x+c x^2)^p \, dx\)
  3.2.69 \(\int x^{1+p} (b+2 c x^2) (b x+c x^3)^p \, dx\)
  3.2.70 \(\int (b x^{1+p} (b x+c x^3)^p+2 c x^{3+p} (b x+c x^3)^p) \, dx\)
  3.2.71 \(\int x^{2 (1+p)} (b+2 c x^3) (b x+c x^4)^p \, dx\)
  3.2.72 \(\int x^{(-1+n) (1+p)} (b+2 c x^n) (b x+c x^{1+n})^p \, dx\)
  3.2.73 \(\int \frac {a^2 c+a^2 d x+2 a b c x^2+2 a b d x^3+b^2 c x^4+b^2 d x^5}{a+b x^2} \, dx\)
  3.2.74 \(\int \frac {a^2 c+a^2 d x+2 a b c x^2+2 a b d x^3+b^2 c x^4+b^2 d x^5}{(a+b x^2)^2} \, dx\)
  3.2.75 \(\int \frac {a^2 c+a^2 d x+2 a b c x^2+2 a b d x^3+b^2 c x^4+b^2 d x^5}{(a+b x^2)^3} \, dx\)
  3.2.76 \(\int (b+2 c x+3 d x^2) (a+b x+c x^2+d x^3)^n \, dx\)
  3.2.77 \(\int (b+2 c x+3 d x^2) (b x+c x^2+d x^3)^n \, dx\)
  3.2.78 \(\int x^n (b+c x+d x^2)^n (b+2 c x+3 d x^2) \, dx\)
  3.2.79 \(\int (b+3 d x^2) (a+b x+d x^3)^n \, dx\)
  3.2.80 \(\int (b+3 d x^2) (b x+d x^3)^n \, dx\)
  3.2.81 \(\int x^n (b+d x^2)^n (b+3 d x^2) \, dx\)
  3.2.82 \(\int (2 c x+3 d x^2) (a+c x^2+d x^3)^n \, dx\)
  3.2.83 \(\int (2 c x+3 d x^2) (c x^2+d x^3)^n \, dx\)
  3.2.84 \(\int x^n (c x+d x^2)^n (2 c x+3 d x^2) \, dx\)
  3.2.85 \(\int x^{2 n} (c+d x)^n (2 c x+3 d x^2) \, dx\)
  3.2.86 \(\int x (2 c+3 d x) (a+c x^2+d x^3)^n \, dx\)
  3.2.87 \(\int x (2 c+3 d x) (c x^2+d x^3)^n \, dx\)
  3.2.88 \(\int (b+2 c x+3 d x^2) (a+b x+c x^2+d x^3)^7 \, dx\)
  3.2.89 \(\int (b+2 c x+3 d x^2) (b x+c x^2+d x^3)^7 \, dx\)
  3.2.90 \(\int x^7 (b+c x+d x^2)^7 (b+2 c x+3 d x^2) \, dx\)
  3.2.91 \(\int (b+3 d x^2) (a+b x+d x^3)^7 \, dx\)
  3.2.92 \(\int (b+3 d x^2) (b x+d x^3)^7 \, dx\)
  3.2.93 \(\int x^7 (b+d x^2)^7 (b+3 d x^2) \, dx\)
  3.2.94 \(\int (2 c x+3 d x^2) (a+c x^2+d x^3)^7 \, dx\)
  3.2.95 \(\int (2 c x+3 d x^2) (c x^2+d x^3)^7 \, dx\)
  3.2.96 \(\int x^7 (c x+d x^2)^7 (2 c x+3 d x^2) \, dx\)
  3.2.97 \(\int x^{14} (c+d x)^7 (2 c x+3 d x^2) \, dx\)
  3.2.98 \(\int x (2 c+3 d x) (a+c x^2+d x^3)^7 \, dx\)
  3.2.99 \(\int x (2 c+3 d x) (c x^2+d x^3)^7 \, dx\)
  3.2.100 \(\int x^8 (2 c+3 d x) (c x+d x^2)^7 \, dx\)