A Tricky Integral Wolfram Fails to Solve

Integral ln(x)/(x^2+k x+1) from 0 to infinity, where k is greater than -2

[Super-gtlk]

The reason why there is a restriction for the range of k is that the integration must exist as a finite number, right?

[jhonvergara]

That integral is zero for all k greater than or equal to - 2, including its principal value in k=-2.

[jhonvergara]

Wolfram never fails, because Wolfram does not solve integrals with parameters most of the time, must give values to k