\( \int x \cdot \log x d x \) is equal to: \( \mathrm{P}^{13} \) W ...

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\( \int x \cdot \log x d x \) is equal to:
\( \mathrm{P}^{13} \)
W
(1) \( \frac{x^{2}}{4}(2 \log x-1)+c \)
(2) \( \frac{x^{2}}{2}(2 \log x-1)+c \)
(3) \( \frac{x^{2}}{4}(2 \log x+1)+c \)
(4) None of these
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