3.1 Integrals 1 to 17
3.1.1 \(\int \genfrac {}{}{}{}{d+e x+f x^2+g x^3+h x^4+j x^5+k x^6+l x^7+m x^8}{a+b x^3+c x^6} \, dx\) [1]
3.1.2 \(\int \genfrac {}{}{}{}{1}{a+b x^n+c x^{2 n}} \, dx\) [2]
3.1.3 \(\int \genfrac {}{}{}{}{d+e x}{a+b x^n+c x^{2 n}} \, dx\) [3]
3.1.4 \(\int \genfrac {}{}{}{}{d+e x+f x^2}{a+b x^n+c x^{2 n}} \, dx\) [4]
3.1.5 \(\int \genfrac {}{}{}{}{d+e x+f x^2+g x^3}{a+b x^n+c x^{2 n}} \, dx\) [5]
3.1.6 \(\int \genfrac {}{}{}{}{1}{(a+b x^n+c x^{2 n})^2} \, dx\) [6]
3.1.7 \(\int \genfrac {}{}{}{}{d+e x}{(a+b x^n+c x^{2 n})^2} \, dx\) [7]
3.1.8 \(\int \genfrac {}{}{}{}{d+e x+f x^2}{(a+b x^n+c x^{2 n})^2} \, dx\) [8]
3.1.9 \(\int \genfrac {}{}{}{}{d+e x+f x^2+g x^3}{(a+b x^n+c x^{2 n})^2} \, dx\) [9]
3.1.10 \(\int \genfrac {}{}{}{}{-a h x^{-1+\genfrac {}{}{}{}{n}{2}}+c f x^{-1+n}+c g x^{-1+2 n}+c h x^{-1+\genfrac {}{}{}{}{5 n}{2}}}{(a+b x^n+c x^{2 n})^{3/2}} \, dx\) [10]
3.1.11 \(\int (a+b x^n+c x^{2 n})^p (a+b (1+n+n p) x^n+c (1+2 n (1+p)) x^{2 n}) \, dx\) [11]
3.1.12 \(\int \genfrac {}{}{}{}{x^{-1+\genfrac {}{}{}{}{n}{4}} (-a h+c f x^{n/4}+c g x^{3 n/4}+c h x^n)}{(a+c x^n)^{3/2}} \, dx\) [12]
3.1.13 \(\int \genfrac {}{}{}{}{(d x)^{-1+\genfrac {}{}{}{}{n}{4}} (-a h+c f x^{n/4}+c g x^{3 n/4}+c h x^n)}{(a+c x^n)^{3/2}} \, dx\) [13]
3.1.14 \(\int \genfrac {}{}{}{}{x^{-1+\genfrac {}{}{}{}{n}{2}} (-a h+c f x^{n/2}+c g x^{3 n/2}+c h x^{2 n})}{(a+b x^n+c x^{2 n})^{3/2}} \, dx\) [14]
3.1.15 \(\int \genfrac {}{}{}{}{(d x)^{-1+\genfrac {}{}{}{}{n}{2}} (-a h+c f x^{n/2}+c g x^{3 n/2}+c h x^{2 n})}{(a+b x^n+c x^{2 n})^{3/2}} \, dx\) [15]
3.1.16 \(\int (g x)^m (a+b x^n+c x^{2 n})^p (a (1+m)+b (1+m+n+n p) x^n+c (1+m+2 n (1+p)) x^{2 n}) \, dx\) [16]
3.1.17 \(\int \genfrac {}{}{}{}{A+B x^n+C x^{2 n}+D x^{3 n}}{(a+b x^n+c x^{2 n})^2} \, dx\) [17]