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∫0π/2ln(cos(x)) dx\large \int_0^{\pi/2}\ln(\cos(x))\, dx∫0π/2ln(cos(x))dx
If the above integral can be expressed as −πalog(z)-\frac{\pi}{a} \log (z)−aπlog(z) for positive integers a,za,za,z, find a+za+za+z.
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