A) \[\frac{{{x}^{2}}}{2}\log x-\frac{{{x}^{2}}}{2}+c\]
B) \[\frac{{{x}^{2}}}{2}\log x-\frac{{{x}^{2}}}{4}+c\]
C) \[\frac{{{x}^{2}}}{2}\log x+\frac{{{x}^{2}}}{2}+c\]
D) None of these
Correct Answer: B
Solution :
\[\int_{{}}^{{}}{x\log x\,dx}=\frac{{{x}^{2}}}{2}\log x-\int_{{}}^{{}}{\frac{1}{x}.\frac{{{x}^{2}}}{2}dx+c}=\frac{{{x}^{2}}\log x}{2}-\frac{{{x}^{2}}}{4}+c\].
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