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Exercise

$\int\frac{2x-1}{x^2-8x+15}dx$

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Final answer to the exercise

$-\frac{5}{2}\ln\left|x-3\right|+\frac{9}{2}\ln\left|x-5\right|+C_0$

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  • Integrate by partial fractions
  • Integrate by substitution
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  • Integrate using tabular integration
  • Integrate by trigonometric substitution
  • Weierstrass Substitution
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  • 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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