Function f(x) continuous on the closed interval [0, 1], the open interval (0,1)greater than zero, and satisfy the.xf'(x)=f(x)+x2( constant) and the area value of the graph bounded by the curve=f)andx=1,y=0is2. When the function(x) is solved and the value of a is asked, the volume of the rotating body obtained by the graph S rotates around the X-axis is the smallest.