# Keep calm and Integrate

Calculus Level 4

$\int_{\pi/4}^{\pi/3}12\csc (2x)[\ln(\sin^2(x))-\ln(\cos^2(x))]^2 \, dx$

If the above integral equals $$(\ln b)^a$$, where $$a$$ and $$b$$ are positive integers, find $$a+b$$.

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