Log Trig Integral 6

Calculus Level 3

∫0π2log⁡(tan⁡(x)+cot⁡(x)) dx=πlog⁡(a)\large \int_0^{\frac{\pi }{2}} \log (\tan (x)+\cot (x)) \, dx=\pi \log (a)

where aa is a positive integer. Submit aa.

Christopher Criscitiello by Christopher Criscitiello
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