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int(1+logx)/(x(2+log x)(3+logx))dx...

`int(1+logx)/(x(2+log x)(3+logx))dx`

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To solve the integral \( \int \frac{1 + \log x}{x(2 + \log x)(3 + \log x)} \, dx \), we can follow these steps: ### Step 1: Substitution Let \( t = \log x \). Then, we have: \[ dx = e^t \, dt = x \, dt \] This means \( \frac{dx}{x} = dt \). ...
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