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Exercise

$\int\frac{\left(x^2+x+3\right)}{x^4+6x^2+9}dx$

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Final answer to the exercise

$\frac{1}{\sqrt{3}}\arctan\left(\frac{x}{\sqrt{3}}\right)+\frac{1}{-2\left(x^{2}+3\right)}+C_0$

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  • Integrate by partial fractions
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  • Integrate using tabular integration
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  • Integrate using basic integrals
  • Product of Binomials with Common Term
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Main Topic: Integrals by Partial Fraction Expansion

The partial fraction decomposition or partial fraction expansion of a rational function is the operation that consists in expressing the fraction as a sum of a polynomial (possibly zero) and one or several fractions with a simpler denominator.

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