\(\int \genfrac {}{}{}{}{d+e x+f x^2+g x^3+h x^4+j x^5+k x^6+l x^7+m x^8}{a+b x^3+c x^6} \, dx\) [1]
\(\int (a+b x^3+c x^6)^{3/2} (A+B x^3+C x^6) \, dx\) [2]
\(\int \sqrt {a+b x^3+c x^6} (A+B x^3+C x^6) \, dx\) [3]
\(\int \genfrac {}{}{}{}{A+B x^3+C x^6}{\sqrt {a+b x^3+c x^6}} \, dx\) [4]
\(\int \genfrac {}{}{}{}{A+B x^3+C x^6}{(a+b x^3+c x^6)^{3/2}} \, dx\) [5]
\(\int \genfrac {}{}{}{}{1}{a+b x^n+c x^{2 n}} \, dx\) [6]
\(\int \genfrac {}{}{}{}{d+e x}{a+b x^n+c x^{2 n}} \, dx\) [7]
\(\int \genfrac {}{}{}{}{d+e x+f x^2}{a+b x^n+c x^{2 n}} \, dx\) [8]
\(\int \genfrac {}{}{}{}{d+e x+f x^2+g x^3}{a+b x^n+c x^{2 n}} \, dx\) [9]
\(\int \genfrac {}{}{}{}{1}{(a+b x^n+c x^{2 n})^2} \, dx\) [10]
\(\int \genfrac {}{}{}{}{d+e x}{(a+b x^n+c x^{2 n})^2} \, dx\) [11]
\(\int \genfrac {}{}{}{}{d+e x+f x^2}{(a+b x^n+c x^{2 n})^2} \, dx\) [12]
\(\int \genfrac {}{}{}{}{d+e x+f x^2+g x^3}{(a+b x^n+c x^{2 n})^2} \, dx\) [13]
\(\int \genfrac {}{}{}{}{-1+x^4+7 x^5+x^9}{-7+6 x^4+x^8} \, dx\) [14]
\(\int \genfrac {}{}{}{}{-a h x^{-1+\genfrac {}{}{}{}{n}{2}}+c f x^{-1+n}+c g x^{-1+2 n}+c h x^{-1+\genfrac {}{}{}{}{5 n}{2}}}{(a+b x^n+c x^{2 n})^{3/2}} \, dx\) [15]
\(\int (a+b x^n+c x^{2 n})^p (a+b (1+n+n p) x^n+c (1+2 n (1+p)) x^{2 n}) \, dx\) [16]
\(\int \genfrac {}{}{}{}{A+B x^n+C x^{2 n}}{a+b x^n+c x^{2 n}} \, dx\) [17]
\(\int \genfrac {}{}{}{}{A+B x^n+C x^{2 n}}{(a+b x^n+c x^{2 n})^2} \, dx\) [18]
\(\int \genfrac {}{}{}{}{A+B x^n+C x^{2 n}}{(a+b x^n+c x^{2 n})^3} \, dx\) [19]
\(\int \genfrac {}{}{}{}{A+B x^n+C x^{2 n}+D x^{3 n}}{a+b x^n+c x^{2 n}} \, dx\) [20]
\(\int \genfrac {}{}{}{}{A+B x^n+C x^{2 n}+D x^{3 n}}{(a+b x^n+c x^{2 n})^2} \, dx\) [21]
\(\int \genfrac {}{}{}{}{A+B x^n+C x^{2 n}+D x^{3 n}}{(a+b x^n+c x^{2 n})^3} \, dx\) [22]
\(\int (a+b x^n+c x^{2 n})^{3/2} (A+B x^n+C x^{2 n}) \, dx\) [23]
\(\int \sqrt {a+b x^n+c x^{2 n}} (A+B x^n+C x^{2 n}) \, dx\) [24]
\(\int \genfrac {}{}{}{}{A+B x^n+C x^{2 n}}{\sqrt {a+b x^n+c x^{2 n}}} \, dx\) [25]
\(\int \genfrac {}{}{}{}{A+B x^n+C x^{2 n}}{(a+b x^n+c x^{2 n})^{3/2}} \, dx\) [26]
\(\int \genfrac {}{}{}{}{A+B x^n+C x^{2 n}}{(a+b x^n+c x^{2 n})^{5/2}} \, dx\) [27]
\(\int (a+b x+c x^2)^p (A+B x+C x^2+D x^3) \, dx\) [28]
\(\int (a+b x^2+c x^4)^p (A+B x^2+C x^4+D x^6) \, dx\) [29]
\(\int (a+b x^3+c x^6)^p (A+B x^3+C x^6+D x^9) \, dx\) [30]
\(\int (a+b x^4+c x^8)^p (A+B x^4+C x^8+D x^{12}) \, dx\) [31]
\(\int (a+b x^n+c x^{2 n})^p \, dx\) [32]
\(\int (A+B x^n) (a+b x^n+c x^{2 n})^p \, dx\) [33]
\(\int (a+b x^n+c x^{2 n})^p (A+B x^n+C x^{2 n}) \, dx\) [34]
\(\int (a+b x^n+c x^{2 n})^p (A+B x^n+C x^{2 n}+D x^{3 n}) \, dx\) [35]
\(\int (a+b x^n+c x^{2 n})^p (A+C x^{2 n}) \, dx\) [36]