Integrate the function $\begin{align*}\frac{e^{5logx}-e^{4logx}}{e^{3logx}-e^{2logx}}\end{align*}$

Question

$\begin{array}{1 1}\frac{x^3}{3} + c \\ \frac{x^5}{5}+c \\ \frac{x^4}{4} +c \\ \frac{x^2}{2}+c \end{array}$