\(\int {x\ln {\rm{xdx}}} \) bằng:

Câu hỏi: \(\int {x\ln {\rm{xdx}}} \) bằng:

A. \(\frac{{{x^2}}}{2}\ln {\rm{x}} - \frac{{{x^2}}}{4} + C\)

B. \(\frac{{{x^2}}}{4}\ln {\rm{x}} - \frac{{{x^2}}}{2} + C\)

C. \( - \frac{{{x^2}\ln {\rm{x}}}}{4} - \frac{{{x^2}}}{2} + C\)

D. \(\frac{{{x^2}}}{2}\ln {\rm{x + }}\frac{{{x^2}}}{4} + C\)