When k is a value, the anomalous integral ∫ (0, positive infinity) DX / [x (LNX) ^ k] converges? When k is a value, the anomalous integral diverges?

When k is a value, the anomalous integral ∫ (0, positive infinity) DX / [x (LNX) ^ k] converges? When k is a value, the anomalous integral diverges?

Copper Ren women's and children's Hospital