Evaluate: \[ \int_{0}^{\pi / 3} f(x) d x \text { where } f(x)=\text { Minimum }\{\tan x, \cot x\...

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Evaluate:
\[
\int_{0}^{\pi / 3} f(x) d x \text { where } f(x)=\text { Minimum }\{\tan x, \cot x\} \forall x \in\left(0, \frac{\pi}{2}\right)
\]
\( \mathrm{P} \)
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