# Logarithms, Trigonometry, Integrals, Part 2

Calculus Level 5

$\displaystyle \int _{0}^{\pi/2} \ln(\sin x) \ln(\tan x) \space \mathrm{d}x$

Given that the above integral equals to $$\frac {\pi^A}{B}$$ for positive integers $$A,B$$, what is the value of $$A+B$$?

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