Find the area of the region bounded by the parabolas y2 = 6x and x2 = 6y.
The intersecting points of the given parabolas are obtained by solving these equations for x and y, which are 0(0, 0) and (6, 6). Hence
Area OABC = ∫ (x→0,6) √(6x) - x2/6 dx
