Integral of a Rational Function After Polynomial Division

Rarely Tested

Integral of a Rational Function After Polynomial Division

If:

$$\deg P\geq\deg Q$$

then:

$$\frac{P(x)}{Q(x)}=S(x)+\frac{R(x)}{Q(x)}$$

where:

$$\deg R<\deg Q$$

Usage

- Used as the first step before partial-fraction decomposition.

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