i have integral $\int \frac{x^{5}+x+3}{x{^3}-5x^{2}}\mathrm dx$,
so first step is to divide polynoms, and i get:
$\frac{x^{5}+x+3}{x{^3}-5x^{2}}$ = $x^{2} + 5x + 25$ with remainder $125x^2 + x + 3$
is it corrent to divide this polynomial division into two integrals:
int 1: $\int x^{2}+5x+25 \mathrm dx$
int 2: $\int \frac{125x^{2}+x+3}{x{^2}(x-5)}\mathrm dx$
first integral solve directly from tables, and make partial fractions from second integral, then just merge solutions into one expression.