Is there a general integration formula for an integrated of a quadruple of polynomials?

Question

I was looking for a formula to integrate the following $$ \int (A+Bx)^l(a+bx)^m(c+dx)^n(e+fx)^p dx$$ where $\{m,n,p,q\} \in \mathbb{R}$, I tried to find it in "Gradshteyn and Ryzhik,Table of Integrals, Series, and Products" but I could not find it there. I found a solution to a similar form in wekipedia List of integrals of rational functions , $$ \int (A+Bx)(a+bx)^m(c+dx)^n(e+fx)^p dx=\frac{(Ab-aB)(a+bx)^{m+1}(c+dx)^n(e+fx)^{p+1}}{b(m+1)(af-be)}+\frac{1}{b(m+1)(af-be)}$$ which is represents $l=1$, I'm interested in case when $A=0$ and $l\ne1$.