Answer
$${\text{Divide }}{x^3}{\text{ by }}x - 5$$
Work Step by Step
$$\eqalign{
& \int {\frac{{{x^3}}}{{x - 5}}} dx \cr
& {\text{The integrand is }}\frac{{{x^3}}}{{x - 5}},{\text{ the degree of the numerator is greater }} \cr
& {\text{than the degree of the denominator, the integrand is not a proper}} \cr
& {\text{function, so the first step is the long division: }} \cr
& {\text{Divide }}{x^3}{\text{ by }}x - 5 \cr} $$