# Integration + Limit

Calculus Level 4

If $$\displaystyle\lim _{ a\rightarrow \pi / 2 ^{ - } }{ \displaystyle \int _{ 0 }^{ a }{ (\cos x)\ln { (\cos x) } dx } } =\ln { (c) } -b$$.

Find $$c+b$$

Where $$c$$ and $$b$$ are natural numbers.

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