The given curves are x 2 y, y 8 - x 2 and y 7

The point of intersection of the curves x 2 y and y 8 - x 2 is obtained by,

x 2 = 8 - x 2

x = ±2 and y = 4.

Hence the points are (2,4),(-2,4).

The points of intersection of the curves y 8 - x 2 and y 7 is obtained by,

8 - x 2 = 7

x = ±1 and y = 7

Hence the points are (1,7),(-1,7).

The required graph is

The required area is symmetrical about y-axis.

Hence required area is

= (8-0-l + 8)

= 20 sq units.

Hence, the required area is 20 sq units

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