Which of the following describes the convergence of the improper integral I=∫1∞ln(x)xpdxI = \int_1^{\infty} \frac{\ln(x)}{x^p} dxI=∫1∞xpln(x)dx?
Converges for all p>0p > 0p>0
Converges only if p>1p > 1p>1
Converges only if p≤1p \leq 1p≤1
Diverges for all ppp