Please give a detailed answer, not just results. Thanks

Given the region bounded by the graphs ofy= ln(x) ,y= 0, andx=e, find the following. (Round your answers to three decimal places.)

(a) the area of the region

(b) the volume of the solid generated by revolving the region about thex-axis

(c) the volume of the solid generated by revolving the region about they-axis

(d) the centroid of the region

(x,y)=