Evaluate: `int(e^(5\ (log)_e x)-e^(4\ (log)_e x))/(e^(3\ (log)_e x)-e^(2\ (log)_e x))\ dx`

Explanation

To evaluate the integral

\[ \int \frac{e^{5 \log_e x} - e^{4 \log_e x}}{e^{3 \log_e x} - e^{2 \log_e x}} \, dx, \]

we can simplify the expression using properties of logarithms and exponents.

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