What is $\int_{\frac{π}{2}}^{π} x^{2} ln (tan x)$ $int_(pi/2)^pi x^2ln(tanx)$ ?

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Answer 1 · 2017-03-25T17:53:02

$tan x < 0$ $tanx<0$ on $\frac{π}{2} < x < π$ $pi/2 < x < pi$ .

So $ln (tan x)$ $ln(tanx)$ is undefined on $\frac{π}{2} < x < π$ $pi/2 < x < pi$ .

The integral doesn't exist.

What is int_(pi/2)^pi x^2ln(tanx)∫ππ2x2ln(tanx)int_(pi/2)^pi x^2ln(tanx)?