Nice integral

Calculus Level 4

\[\large{ \int_0^1 \dfrac{\ln(1+x^4)}{x}\ \mathrm{d}x = \dfrac{\pi^A}{B}}\]

If for positive integers \(A,B\), the above integral satisfies, submit the value of \(\phi(B-A)\) as your answer where \(\phi(s)\) denotes the Euler-Totient Function.

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