Giá trị của (I = int {left( {frac{{{x^2} + 2}}{x}} ight)ln xdx} ) bằng:

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

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

C. \(I = \,{\ln ^2}x + \frac{{{x^2}}}{2}\ln x - \frac{{{x^2}}}{4} + C.\)

D. \(I = \,{\ln ^2}x + \frac{{{x^2}}}{2}\ln x - \frac{{{x^2}}}{2} + C\)