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∫0π2log(tan(x)+cot(x)) dx=πlog(a)\large \int_0^{\frac{\pi }{2}} \log (\tan (x)+\cot (x)) \, dx=\pi \log (a)∫02πlog(tan(x)+cot(x))dx=πlog(a)
where aaa is a positive integer. Submit aaa.
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