# How do you evaluate the integral #int (ln(lnx))/x dx#?

Then:

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To evaluate the integral (\int \frac{\ln(\ln x)}{x} , dx), you can use integration by parts, setting (u = \ln(\ln x)) and (dv = \frac{1}{x} , dx). Then, find (du) and integrate (dv) to obtain (v). Apply the integration by parts formula:

[ \int u , dv = uv - \int v , du ]

Once you've calculated the value of the integral, don't forget to add the constant of integration, (C).

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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