determine whether the integral diverges or converges
if it converges then evaluate the integral
integral from 0 to infinity: xe^-(x^2) dx
integral from 0 to 1: xln(x) dx
integral from 1 to infinity: (ln t) / (t^2) dt
integral from 0 to 2: 1 / (t-1) dt
i have solved the first integral and i got the answer as 1/2 but how do i show if it is diverging or converging?