Value of \(\rm \displaystyle\int x\log x \ dx\) is 

1
\(\rm \frac{x^2\log x}{2}-\frac{x^2}{4}+C\)
2
\(\rm \frac{x\log x}{2}-\frac{x}{4}+C\)
3
\(\rm x^2\log x -\frac{1}{4x}+C\)
4
\(\rm \frac{(\log x)^2}{2}-\frac{x^2}{4}+C\)

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