# 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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