3.2 Integrals 101 to 156

  3.2.1 \(\int (b+2 c x) (b x+c x^2)^{13} \, dx\) [101]
  3.2.2 \(\int x (b+2 c x^2) (b x^2+c x^4)^{13} \, dx\) [102]
  3.2.3 \(\int x^2 (b+2 c x^3) (b x^3+c x^6)^{13} \, dx\) [103]
  3.2.4 \(\int x^{-1+n} (b+2 c x^n) (b x^n+c x^{2 n})^{13} \, dx\) [104]
  3.2.5 \(\int \genfrac {}{}{}{}{b+2 c x}{a+b x+c x^2} \, dx\) [105]
  3.2.6 \(\int \genfrac {}{}{}{}{x (b+2 c x^2)}{a+b x^2+c x^4} \, dx\) [106]
  3.2.7 \(\int \genfrac {}{}{}{}{x^2 (b+2 c x^3)}{a+b x^3+c x^6} \, dx\) [107]
  3.2.8 \(\int \genfrac {}{}{}{}{x^{-1+n} (b+2 c x^n)}{a+b x^n+c x^{2 n}} \, dx\) [108]
  3.2.9 \(\int \genfrac {}{}{}{}{b+2 c x}{(a+b x+c x^2)^8} \, dx\) [109]
  3.2.10 \(\int \genfrac {}{}{}{}{x (b+2 c x^2)}{(a+b x^2+c x^4)^8} \, dx\) [110]
  3.2.11 \(\int \genfrac {}{}{}{}{x^2 (b+2 c x^3)}{(a+b x^3+c x^6)^8} \, dx\) [111]
  3.2.12 \(\int \genfrac {}{}{}{}{x^{-1+n} (b+2 c x^n)}{(a+b x^n+c x^{2 n})^8} \, dx\) [112]
  3.2.13 \(\int \genfrac {}{}{}{}{b+2 c x}{-a+b x+c x^2} \, dx\) [113]
  3.2.14 \(\int \genfrac {}{}{}{}{x (b+2 c x^2)}{-a+b x^2+c x^4} \, dx\) [114]
  3.2.15 \(\int \genfrac {}{}{}{}{x^2 (b+2 c x^3)}{-a+b x^3+c x^6} \, dx\) [115]
  3.2.16 \(\int \genfrac {}{}{}{}{x^{-1+n} (b+2 c x^n)}{-a+b x^n+c x^{2 n}} \, dx\) [116]
  3.2.17 \(\int \genfrac {}{}{}{}{b+2 c x}{(-a+b x+c x^2)^8} \, dx\) [117]
  3.2.18 \(\int \genfrac {}{}{}{}{x (b+2 c x^2)}{(-a+b x^2+c x^4)^8} \, dx\) [118]
  3.2.19 \(\int \genfrac {}{}{}{}{x^2 (b+2 c x^3)}{(-a+b x^3+c x^6)^8} \, dx\) [119]
  3.2.20 \(\int \genfrac {}{}{}{}{x^{-1+n} (b+2 c x^n)}{(-a+b x^n+c x^{2 n})^8} \, dx\) [120]
  3.2.21 \(\int \genfrac {}{}{}{}{b+2 c x}{b x+c x^2} \, dx\) [121]
  3.2.22 \(\int \genfrac {}{}{}{}{x (b+2 c x^2)}{b x^2+c x^4} \, dx\) [122]
  3.2.23 \(\int \genfrac {}{}{}{}{x^2 (b+2 c x^3)}{b x^3+c x^6} \, dx\) [123]
  3.2.24 \(\int \genfrac {}{}{}{}{x^{-1+n} (b+2 c x^n)}{b x^n+c x^{2 n}} \, dx\) [124]
  3.2.25 \(\int \genfrac {}{}{}{}{b+2 c x}{(b x+c x^2)^8} \, dx\) [125]
  3.2.26 \(\int \genfrac {}{}{}{}{x (b+2 c x^2)}{(b x^2+c x^4)^8} \, dx\) [126]
  3.2.27 \(\int \genfrac {}{}{}{}{x^2 (b+2 c x^3)}{(b x^3+c x^6)^8} \, dx\) [127]
  3.2.28 \(\int \genfrac {}{}{}{}{x^{-1+n} (b+2 c x^n)}{(b x^n+c x^{2 n})^8} \, dx\) [128]
  3.2.29 \(\int (b+2 c x) (a+b x+c x^2)^p \, dx\) [129]
  3.2.30 \(\int x (b+2 c x^2) (a+b x^2+c x^4)^p \, dx\) [130]
  3.2.31 \(\int x^2 (b+2 c x^3) (a+b x^3+c x^6)^p \, dx\) [131]
  3.2.32 \(\int x^{-1+n} (b+2 c x^n) (a+b x^n+c x^{2 n})^p \, dx\) [132]
  3.2.33 \(\int (b+2 c x) (-a+b x+c x^2)^p \, dx\) [133]
  3.2.34 \(\int x (b+2 c x^2) (-a+b x^2+c x^4)^p \, dx\) [134]
  3.2.35 \(\int x^2 (b+2 c x^3) (-a+b x^3+c x^6)^p \, dx\) [135]
  3.2.36 \(\int x^{-1+n} (b+2 c x^n) (-a+b x^n+c x^{2 n})^p \, dx\) [136]
  3.2.37 \(\int (b+2 c x) (b x+c x^2)^p \, dx\) [137]
  3.2.38 \(\int x (b+2 c x^2) (b x^2+c x^4)^p \, dx\) [138]
  3.2.39 \(\int x^2 (b+2 c x^3) (b x^3+c x^6)^p \, dx\) [139]
  3.2.40 \(\int x^{-1+n} (b+2 c x^n) (b x^n+c x^{2 n})^p \, dx\) [140]
  3.2.41 \(\int \genfrac {}{}{}{}{(f x)^m (d+e x^n)}{a+b x^n+c x^{2 n}} \, dx\) [141]
  3.2.42 \(\int \genfrac {}{}{}{}{(f x)^m (d+e x^n)}{(a+b x^n+c x^{2 n})^2} \, dx\) [142]
  3.2.43 \(\int \genfrac {}{}{}{}{(f x)^m (d+e x^n)}{(a+b x^n+c x^{2 n})^3} \, dx\) [143]
  3.2.44 \(\int \genfrac {}{}{}{}{\sqrt [3]{c}-2 \sqrt [3]{d} \sqrt [3]{x}}{c \sqrt [3]{d} x^{2/3}-c^{2/3} d^{2/3} x+\sqrt [3]{c} d x^{4/3}} \, dx\) [144]
  3.2.45 \(\int \genfrac {}{}{}{}{(f x)^m (d+e x^n)^q}{a+b x^n+c x^{2 n}} \, dx\) [145]
  3.2.46 \(\int \genfrac {}{}{}{}{x^2 (d+e x^n)^q}{a+b x^n+c x^{2 n}} \, dx\) [146]
  3.2.47 \(\int \genfrac {}{}{}{}{x (d+e x^n)^q}{a+b x^n+c x^{2 n}} \, dx\) [147]
  3.2.48 \(\int \genfrac {}{}{}{}{(d+e x^n)^q}{a+b x^n+c x^{2 n}} \, dx\) [148]
  3.2.49 \(\int \genfrac {}{}{}{}{(d+e x^n)^q}{x (a+b x^n+c x^{2 n})} \, dx\) [149]
  3.2.50 \(\int \genfrac {}{}{}{}{(d+e x^n)^q}{x^2 (a+b x^n+c x^{2 n})} \, dx\) [150]
  3.2.51 \(\int \genfrac {}{}{}{}{(d+e x^n)^q}{x^3 (a+b x^n+c x^{2 n})} \, dx\) [151]
  3.2.52 \(\int (f x)^m (d+e x^n)^2 (a+b x^n+c x^{2 n})^p \, dx\) [152]
  3.2.53 \(\int (f x)^m (d+e x^n) (a+b x^n+c x^{2 n})^p \, dx\) [153]
  3.2.54 \(\int (f x)^m (a+b x^n+c x^{2 n})^p \, dx\) [154]
  3.2.55 \(\int \genfrac {}{}{}{}{(f x)^m (a+b x^n+c x^{2 n})^p}{d+e x^n} \, dx\) [155]
  3.2.56 \(\int \genfrac {}{}{}{}{(f x)^m (a+b x^n+c x^{2 n})^p}{(d+e x^n)^2} \, dx\) [156]