If `F(x) = int_(x^(2))^(x^(3))(1)/(lnt) dt` then find `F'(e )`

Explanation

To find \( F'(e) \) where \( F(x) = \int_{x^2}^{x^3} \frac{1}{\ln t} \, dt \), we will apply Leibniz's rule for differentiating an integral with variable limits.

### Step-by-Step Solution:

1. **Identify the Function and Limits**:
\[ F(x) = \int_{x^2}^{x^3} \frac{1}{\ln t} \, dt \]
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