2 The diagram shows a sketch of part of the curve with equation y = x In(x), x20 y = xin(x) R, a Verify that A has coordinates (2, 0). R b Show that the exact area of the shaded region R, is Hint In part b, the value of the integral will be negative 4-2In2 as the area is below the x-axis. Remember to give a - positive answer for the shaded area. c Show that the total shaded area is Hint To find the total area you need to consider R, and R, separately