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Integrate the functions((1+x)(x+logx)^2)...

Integrate the functions`((1+x)(x+logx)^2)/x`

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To solve the integral \(\int \frac{(1+x)(x+\log x)^2}{x} \, dx\), we can follow these steps: ### Step 1: Rewrite the Integral We start by rewriting the integral: \[ \int \frac{(1+x)(x+\log x)^2}{x} \, dx = \int (1+x) \left( \frac{(x+\log x)^2}{x} \right) \, dx \] ...
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