What is $int_(pi/2)^pi x^2ln(tanx)$ ?

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Answer 1 · 2017-03-25T17:53:02

$tanx<0$ on $pi/2 < x < pi$ .

So $ln(tanx)$ is undefined on $pi/2 < x < pi$ .

The integral doesn't exist.

What is int_(pi/2)^pi x^2ln(tanx)int_(pi/2)^pi x^2ln(tanx)?