A Discussion about a Simple Problem Integral_0^pi cot(x) dx

 integral_0^pi cot(x) dx  This is very simple problem but as per request of my student now i am starting a discussion about it.

Now see
 integral_0^pi cot(x) dx         
This Integral does not converge.

 integral_0^pi cot(x) dx

Visual representation of the integral:

Frame
Nonintegrable singularities of the integrand in the integration interval:

x | nonintegrable expansion terms of the integrand\n0 | 1\/x\npi | 1\/(x-pi)     

If you have any thought for this discussion please post in the place of comments.

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