3.2 Integrals 101 to 156

   \(\int (b+2 c x) (b x+c x^2)^{13} \, dx\) [101]
   \(\int x (b+2 c x^2) (b x^2+c x^4)^{13} \, dx\) [102]
   \(\int x^2 (b+2 c x^3) (b x^3+c x^6)^{13} \, dx\) [103]
   \(\int x^{-1+n} (b+2 c x^n) (b x^n+c x^{2 n})^{13} \, dx\) [104]
   \(\int \genfrac {}{}{}{}{b+2 c x}{a+b x+c x^2} \, dx\) [105]
   \(\int \genfrac {}{}{}{}{x (b+2 c x^2)}{a+b x^2+c x^4} \, dx\) [106]
   \(\int \genfrac {}{}{}{}{x^2 (b+2 c x^3)}{a+b x^3+c x^6} \, dx\) [107]
   \(\int \genfrac {}{}{}{}{x^{-1+n} (b+2 c x^n)}{a+b x^n+c x^{2 n}} \, dx\) [108]
   \(\int \genfrac {}{}{}{}{b+2 c x}{(a+b x+c x^2)^8} \, dx\) [109]
   \(\int \genfrac {}{}{}{}{x (b+2 c x^2)}{(a+b x^2+c x^4)^8} \, dx\) [110]
   \(\int \genfrac {}{}{}{}{x^2 (b+2 c x^3)}{(a+b x^3+c x^6)^8} \, dx\) [111]
   \(\int \genfrac {}{}{}{}{x^{-1+n} (b+2 c x^n)}{(a+b x^n+c x^{2 n})^8} \, dx\) [112]
   \(\int \genfrac {}{}{}{}{b+2 c x}{-a+b x+c x^2} \, dx\) [113]
   \(\int \genfrac {}{}{}{}{x (b+2 c x^2)}{-a+b x^2+c x^4} \, dx\) [114]
   \(\int \genfrac {}{}{}{}{x^2 (b+2 c x^3)}{-a+b x^3+c x^6} \, dx\) [115]
   \(\int \genfrac {}{}{}{}{x^{-1+n} (b+2 c x^n)}{-a+b x^n+c x^{2 n}} \, dx\) [116]
   \(\int \genfrac {}{}{}{}{b+2 c x}{(-a+b x+c x^2)^8} \, dx\) [117]
   \(\int \genfrac {}{}{}{}{x (b+2 c x^2)}{(-a+b x^2+c x^4)^8} \, dx\) [118]
   \(\int \genfrac {}{}{}{}{x^2 (b+2 c x^3)}{(-a+b x^3+c x^6)^8} \, dx\) [119]
   \(\int \genfrac {}{}{}{}{x^{-1+n} (b+2 c x^n)}{(-a+b x^n+c x^{2 n})^8} \, dx\) [120]
   \(\int \genfrac {}{}{}{}{b+2 c x}{b x+c x^2} \, dx\) [121]
   \(\int \genfrac {}{}{}{}{x (b+2 c x^2)}{b x^2+c x^4} \, dx\) [122]
   \(\int \genfrac {}{}{}{}{x^2 (b+2 c x^3)}{b x^3+c x^6} \, dx\) [123]
   \(\int \genfrac {}{}{}{}{x^{-1+n} (b+2 c x^n)}{b x^n+c x^{2 n}} \, dx\) [124]
   \(\int \genfrac {}{}{}{}{b+2 c x}{(b x+c x^2)^8} \, dx\) [125]
   \(\int \genfrac {}{}{}{}{x (b+2 c x^2)}{(b x^2+c x^4)^8} \, dx\) [126]
   \(\int \genfrac {}{}{}{}{x^2 (b+2 c x^3)}{(b x^3+c x^6)^8} \, dx\) [127]
   \(\int \genfrac {}{}{}{}{x^{-1+n} (b+2 c x^n)}{(b x^n+c x^{2 n})^8} \, dx\) [128]
   \(\int (b+2 c x) (a+b x+c x^2)^p \, dx\) [129]
   \(\int x (b+2 c x^2) (a+b x^2+c x^4)^p \, dx\) [130]
   \(\int x^2 (b+2 c x^3) (a+b x^3+c x^6)^p \, dx\) [131]
   \(\int x^{-1+n} (b+2 c x^n) (a+b x^n+c x^{2 n})^p \, dx\) [132]
   \(\int (b+2 c x) (-a+b x+c x^2)^p \, dx\) [133]
   \(\int x (b+2 c x^2) (-a+b x^2+c x^4)^p \, dx\) [134]
   \(\int x^2 (b+2 c x^3) (-a+b x^3+c x^6)^p \, dx\) [135]
   \(\int x^{-1+n} (b+2 c x^n) (-a+b x^n+c x^{2 n})^p \, dx\) [136]
   \(\int (b+2 c x) (b x+c x^2)^p \, dx\) [137]
   \(\int x (b+2 c x^2) (b x^2+c x^4)^p \, dx\) [138]
   \(\int x^2 (b+2 c x^3) (b x^3+c x^6)^p \, dx\) [139]
   \(\int x^{-1+n} (b+2 c x^n) (b x^n+c x^{2 n})^p \, dx\) [140]
   \(\int \genfrac {}{}{}{}{(f x)^m (d+e x^n)}{a+b x^n+c x^{2 n}} \, dx\) [141]
   \(\int \genfrac {}{}{}{}{(f x)^m (d+e x^n)}{(a+b x^n+c x^{2 n})^2} \, dx\) [142]
   \(\int \genfrac {}{}{}{}{(f x)^m (d+e x^n)}{(a+b x^n+c x^{2 n})^3} \, dx\) [143]
   \(\int \genfrac {}{}{}{}{\sqrt [3]{c}-2 \sqrt [3]{d} \sqrt [3]{x}}{c \sqrt [3]{d} x^{2/3}-c^{2/3} d^{2/3} x+\sqrt [3]{c} d x^{4/3}} \, dx\) [144]
   \(\int \genfrac {}{}{}{}{(f x)^m (d+e x^n)^q}{a+b x^n+c x^{2 n}} \, dx\) [145]
   \(\int \genfrac {}{}{}{}{x^2 (d+e x^n)^q}{a+b x^n+c x^{2 n}} \, dx\) [146]
   \(\int \genfrac {}{}{}{}{x (d+e x^n)^q}{a+b x^n+c x^{2 n}} \, dx\) [147]
   \(\int \genfrac {}{}{}{}{(d+e x^n)^q}{a+b x^n+c x^{2 n}} \, dx\) [148]
   \(\int \genfrac {}{}{}{}{(d+e x^n)^q}{x (a+b x^n+c x^{2 n})} \, dx\) [149]
   \(\int \genfrac {}{}{}{}{(d+e x^n)^q}{x^2 (a+b x^n+c x^{2 n})} \, dx\) [150]
   \(\int \genfrac {}{}{}{}{(d+e x^n)^q}{x^3 (a+b x^n+c x^{2 n})} \, dx\) [151]
   \(\int (f x)^m (d+e x^n)^2 (a+b x^n+c x^{2 n})^p \, dx\) [152]
   \(\int (f x)^m (d+e x^n) (a+b x^n+c x^{2 n})^p \, dx\) [153]
   \(\int (f x)^m (a+b x^n+c x^{2 n})^p \, dx\) [154]
   \(\int \genfrac {}{}{}{}{(f x)^m (a+b x^n+c x^{2 n})^p}{d+e x^n} \, dx\) [155]
   \(\int \genfrac {}{}{}{}{(f x)^m (a+b x^n+c x^{2 n})^p}{(d+e x^n)^2} \, dx\) [156]