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Integrate the functions(e^(5logx)-e^(4lo...

Integrate the functions`(e^(5logx)-e^(4logx))/(e^(2logx)-e^(2logx))`

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To solve the integral of the function \(\frac{e^{5 \log x} - e^{4 \log x}}{e^{2 \log x} - e^{2 \log x}}\), we can simplify the expression step by step. ### Step 1: Simplify the Exponential Functions Using the property of logarithms, we know that \(e^{\log a} = a\). Therefore, we can rewrite the terms in the integral: \[ e^{5 \log x} = x^5, \quad e^{4 \log x} = x^4, \quad e^{2 \log x} = x^2 \] ...
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