Biến đổi \(\int\limits_1^e {\frac{{\ln x}}{{x{{\left( {\ln x + 2} \right)}^2}}}{\rm{d}}x} \) thành \(\int\limits_2^3 {f\left( t \right){\rm

A. \(f\left( t \right) = \frac{2}{{{t^2}}} + \frac{1}{t}\)

B. \(f\left( t \right) =  - \frac{1}{{{t^2}}} + \frac{2}{t}\)

C. \(f\left( t \right) = \frac{2}{{{t^2}}} - \frac{1}{t}\)

D. \(f\left( t \right) =  - \frac{2}{{{t^2}}} + \frac{1}{t}\)