Will Euler-Mascheroni help ?

Calculus Level 5

Evaluate :

\[\int_{0}^{\infty }\left ( \exp({-x^{128}})-\frac{1}{1+x^{256}} \right )\frac{dx}{x} = P\]

Give your answer correct to 4 decimal places .

Note

Euler- Mascheroni Constant (\(\gamma\)) \(\approx\) 0.57721 Take this value for the question .

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