Definite Integral Using Integration by Parts

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Use integration by parts to evaluate $\int_{1}^{3} x \ln(x)\, dx$ .

$\frac{9}{4} \ln(3) - 1$

$\frac{9}{4} \ln(3) - 2$

$\frac{9}{2} \ln(3) - 1$

$\frac{9}{2} \ln(3) - 2$

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