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Write a value of int((logx)^n)/x\ dx...

Write a value of `int((logx)^n)/x\ dx`

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To solve the integral \( I = \int \frac{(\log x)^n}{x} \, dx \), we can follow these steps: ### Step 1: Substitution Let \( t = \log x \). Then, we differentiate both sides with respect to \( x \): \[ \frac{dt}{dx} = \frac{1}{x} \implies dt = \frac{1}{x} \, dx \] This substitution simplifies our integral. ...
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