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lima→π2−∫0acosxln(cosx) dx \large\lim_{a\to \frac\pi2 ^-} \int_0^a \cos x \ln(\cos x) \, dx a→2π−lim∫0acosxln(cosx)dx
If the integral above can be expressed as lnc−b \ln c - blnc−b, where bbb and ccc are positive integers, find b+cb +cb+c.
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