$\large\frac{d}{dx} \int \limits_{x^2}^{x^3} \bigg(\large\frac {1}{lnt} \bigg)$$dx$

Question

\[\begin {array} {1 1} (a)\;\frac{1}{lnx} (x^2-x) \\ (b)\;\frac{1}{(lnx)}^2. (x^2-x) \\ (c)\;\frac{1}{(lnx)} \{x^3-x^2\} \\ (d)\;none \end {array}\]