Evaluate the integral:

**Solution**

We are evaluating the Mellin transform of the function .

where is the Euler’s Gamma function. Hence,

where is the Euler – Mascheroni constant and is the digamma.

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Evaluate the integral:

**Solution**

We are evaluating the Mellin transform of the function .

where is the Euler’s Gamma function. Hence,

where is the Euler – Mascheroni constant and is the digamma.