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Mathematics
Problem
Explain in one or two sentences why rewriting
4
x
3
+
7
x
2
−
2
x
2
+
1
\displaystyle \frac{4x^{3}+7x^{2}-2}{x^{2}+1}
x
2
+
1
4
x
3
+
7
x
2
−
2
as the sum of a polynomial and a proper rational function can simplify the process of finding its antiderivative.
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