Thanks for the response.
I don't understand what's puzzling about what I've asked help with? The partial fractions method should be equivalent to the recursion relation method, and in fact they are according to Bronstein. However I cannot see why
\frac{1}{a} \frac{1}{\alpha-\beta}...
Homework Statement
I'd like to compute
\int \frac{dx}{(ax^2+bx+c)^n}, a,b,c \in \mathbb{R}
without resorting to the usual recursion relation method of solution
i.e. without using integration by parts.
But I'd also like to do it without simplifying ax^2+bx+c into anything...