Need hint to solve the following integral We are fixed and need some hint to solve the problem
 $$\int\frac{(ax+b)^m}{(cx+d)^n}dx$$ where $m,n\in \mathbb{N}$. 

Hint. By the change of variable
$$
X=cx+d
$$ one is led to evaluate
$$
\int\frac{\left(X+\beta\right)^m}{X^n}
$$ which, by a binomial expansion, amounts to evaluate
$$
\int\frac{dX}{X^k}.
$$
