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Evaluate: int[ln(lnx)+1/(lnx)^(2)]dx...

Evaluate: `int[ln(lnx)+1/(lnx)^(2)]`dx

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To evaluate the integral \( \int \left( \ln(\ln x) + \frac{1}{(\ln x)^2} \right) dx \), we will follow a systematic approach using substitution. ### Step-by-Step Solution: 1. **Substitution**: Let \( t = \ln x \). Then, differentiating both sides gives us: \[ dx = e^t dt ...
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