∫_0^π▒〖[cot⁡x]〗 dx, where [∙] denotes the greatest integer function, is equal to

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∫_0^π▒〖[cot⁡x]〗 dx,where[∙] denotesthe greatest integer function,is equal to ∫_0^π▒〖[cot⁡x]〗 dx,where[∙] denotesthe greatest integer function,is equal to
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`int_1^(10pi)([sec^(- 1)x]+[cot^(- 1)x]dx` where [.] denotes the greatest integer function is `int_1^(10pi)([sec^(- 1)x]+[cot^(- 1)x]dx` where [.] denotes the greatest integer function is