3.1 \(\int \frac{d+e x+f x^2+g x^3+h x^4+j x^5+k x^6+l x^7+m x^8}{a+b x^3+c x^6} \, dx\)
 3.2 \(\int \frac{1}{a+b x^n+c x^{2 n}} \, dx\)
 3.3 \(\int \frac{d+e x}{a+b x^n+c x^{2 n}} \, dx\)
 3.4 \(\int \frac{d+e x+f x^2}{a+b x^n+c x^{2 n}} \, dx\)
 3.5 \(\int \frac{d+e x+f x^2+g x^3}{a+b x^n+c x^{2 n}} \, dx\)
 3.6 \(\int \frac{1}{(a+b x^n+c x^{2 n})^2} \, dx\)
 3.7 \(\int \frac{d+e x}{(a+b x^n+c x^{2 n})^2} \, dx\)
 3.8 \(\int \frac{d+e x+f x^2}{(a+b x^n+c x^{2 n})^2} \, dx\)
 3.9 \(\int \frac{d+e x+f x^2+g x^3}{(a+b x^n+c x^{2 n})^2} \, dx\)
 3.10 \(\int \frac{-a h x^{-1+\frac{n}{2}}+c f x^{-1+n}+c g x^{-1+2 n}+c h x^{-1+\frac{5 n}{2}}}{(a+b x^n+c x^{2 n})^{3/2}} \, dx\)
 3.11 \(\int (a+b x^n+c x^{2 n})^p (a+b (1+n+n p) x^n+c (1+2 n (1+p)) x^{2 n}) \, dx\)
 3.12 \(\int \frac{x^{-1+\frac{n}{4}} (-a h+c f x^{n/4}+c g x^{3 n/4}+c h x^n)}{(a+c x^n)^{3/2}} \, dx\)
 3.13 \(\int \frac{(d x)^{-1+\frac{n}{4}} (-a h+c f x^{n/4}+c g x^{3 n/4}+c h x^n)}{(a+c x^n)^{3/2}} \, dx\)
 3.14 \(\int \frac{x^{-1+\frac{n}{2}} (-a h+c f x^{n/2}+c g x^{3 n/2}+c h x^{2 n})}{(a+b x^n+c x^{2 n})^{3/2}} \, dx\)
 3.15 \(\int \frac{(d x)^{-1+\frac{n}{2}} (-a h+c f x^{n/2}+c g x^{3 n/2}+c h x^{2 n})}{(a+b x^n+c x^{2 n})^{3/2}} \, dx\)
 3.16 \(\int (g x)^m (a+b x^n+c x^{2 n})^p (a (1+m)+b (1+m+n+n p) x^n+c (1+m+2 n (1+p)) x^{2 n}) \, dx\)
 3.17 \(\int \frac{A+B x^n+C x^{2 n}+D x^{3 n}}{(a+b x^n+c x^{2 n})^2} \, dx\)