# This one is familiar to?

Calculus Level 5

$\large\int\limits_{0}^{\pi/4096} \ln \left(\frac{\tan (2048x)-\tan (1024 x)}{\tan(1024 x)}\right)\,\mathrm dx$

The value of above integral is $$\large{\frac{\pi^{A}}{B}(\ln (C))^{D}}$$ for some positive integers $$A,B,C,D$$.

Find the minimum value of $$A+B+C+D$$.

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