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Step-by-step Solution

Integral of $\frac{5x^2+14x+10}{\left(x+1\right)^2\left(x+2\right)}$ with respect to x

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Step-by-step explanation

Problem to solve:

$\int\frac{5x^2+14x+10}{\left(x+2\right)\left(x+1\right)^2}dx$

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Answer

$2\ln\left|x+2\right|+\frac{-1}{x+1}+3\ln\left|x+1\right|+C_0$