Prove that`int_1^3(dx)/(x^2(x+1))=2/3+log2/3`

Explanation

To prove that

\[ \int_1^3 \frac{dx}{x^2(x+1)} = \frac{2}{3} + \log\frac{2}{3}, \]

we will use the method of partial fractions to simplify the integrand.

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