Determine which values of p the following integrals converge. Give your answer in each case by selecting the appropriate inequality and then entering a numerical value in the box to define a range of p values for which the integral converges. If the integral never converges, select = and enter none for the numerical value. In either case be sure that you can rigorously prove convergence and divergence for different values of p.

a) integral from 1 to 2 of (dx/(x(ln(x))^p)

b) integral from 0 to 1 of (ln(x)dx/x^p)