Explain in one or two sentences why rewriting as the sum of a polynomial and a proper…

MATHEMATICS · Subjective · A Level · Mathematics · Integration · Integration

Problem

Explain in one or two sentences why rewriting

\displaystyle \frac{4x^{3}+7x^{2}-2}{x^{2}+1}

as the sum of a polynomial and a proper rational function can simplify the process of finding its antiderivative.