<p class="paragraph-header">Always do long division first when the degree of $\text{f}(x)\ge $ degree of $\text{g}(x)$ for&nbsp;$\int{\frac{\text{f}\left( x \right)}{\text{g}\left( x \right)}\text{ d}x}$</p>
<p>$\displaystyle\int{\frac{{{x}^{4}}-{{x}^{2}}+x}{{{x}^{3}}+1}}dx$</p>

Always do long division first when the degree of $\text{f}(x)\ge $ degree of $\text{g}(x)$ for $\displaystyle \int{\frac{\text{f}\left( x \right)}{\text{g}\left( x \right)}\text{ d}x}$

$\displaystyle\displaystyle \int{\frac{{{x}^{4}}-{{x}^{2}}+x}{{{x}^{3}}+1}}dx$

Integrals Involving Long Division

Techniques of  Integration

H2 Math

International Baccalaureate Higher Level Mathematics

Techniques of Integration - Integrals Involving Long Division

Question f6aec9c8

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