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Exercise

$\int\frac{x+6}{\left(x+2\right)\left(x+5\right)^2}dx$

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Final answer to the exercise

$\frac{4}{9}\ln\left|x+2\right|+\frac{1}{3\left(x+5\right)}-\frac{4}{9}\ln\left|x+5\right|+C_0$

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