# Calculate the are

The given equations are,

y2 = 6x And x2 = 6y. When y = 0 then x = 0,

Or Putting x value on y2 = 6x,

y2 = 6 Or 6 Or Or y = 6

When y = 0 then x = 0,

And When y = 6 then x = 6,

On solving these two equations, we get point of intersections.

The points are O (0,0) and A(6,6). These are shown in the graph below Now the bounded area is the required area to be calculated, Hence,

Bounded Area, A = [Area between the curve (i) and x axis from 0 to 6] - [Area between the curve (ii) and x axis from 0 to 6]  On integrating the above definite integration, Area of the region bounded by the parabolas y2 = 6x and x2 = 6y is 12sq. units.

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