Tính \(I = \int\limits_1^e {{x^5}.\ln xdx} \)

A. \(\frac{{5{e^6} - 1}}{{36}}\)

B. \(\frac{{2{e^6} + 3}}{{36}}\)

C. \(\frac{{5{e^6} + 1}}{{36}}\)

D. \(\frac{{2{e^6} - 3}}{{36}}\)