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Exercise

$\int\frac{1}{x^2\left(x+2\right)}dx$

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Final answer to the exercise

$\frac{1}{-2x}+\frac{1}{4}\ln\left|x+2\right|-\frac{1}{4}\ln\left|x\right|+C_0$

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  • Integrate by partial fractions
  • Integrate by substitution
  • Integrate by parts
  • Integrate using tabular integration
  • Integrate by trigonometric substitution
  • Weierstrass Substitution
  • Integrate using trigonometric identities
  • Integrate using basic integrals
  • Product of Binomials with Common Term
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Similar Questions Solved

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$\int\frac{1}{\left(x^4+1\right)}dx$

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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