ax-2-bx-c-x-p-x-q-x-r-dx-

Question Number 95563 by peter frank last updated on 26/May/20

\int \frac{{ax}^{2} + bx + c}{(x - p) (x - q) (x - r)} dx

Answered by MJS last updated on 26/May/20

\int \frac{{a x}^{2} + b x + c}{(x - p) (x - q) (x - r)} d x =

= \frac{{a p}^{2} + b p + c}{(p - q) (p - r)} \int \frac{d x}{x - p} +

+ \frac{{a q}^{2} + b q + c}{(q - p) (q - r)} \int \frac{d x}{x - q} +

+ \frac{{a r}^{2} + b r + c}{(r - p) (r - q)} \int \frac{d x}{x - r}

{it}^{'} s easy now

Commented by 1549442205 last updated on 26/May/20

Allright, it is correct