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int(e^(5logx)-e^(4logx))/(e^(3logx)-e^(2...

`int(e^(5logx)-e^(4logx))/(e^(3logx)-e^(2logx))dx`

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To solve the integral \[ I = \int \frac{e^{5 \log x} - e^{4 \log x}}{e^{3 \log x} - e^{2 \log x}} \, dx, \] we start by simplifying the expression using the properties of logarithms and exponents. ...
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