If `[x]` denotes the greatest integer function. Draw a rough sketch of the portions of the curves `x^(2) = 4[sqrt(x)] y` and `y^(2) = 4[sqrt(y)]` x that lie within the sqaure `{(x,y)|1le x le 4, 1 le y le 4}` Find the area of the part of the square that is enclosessd by the two curves and the line `x + y = 3`
