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Using integration, find the area of the region {(x, y) : x2 + y2 ≤ 2ax, y2 > ax, x,y,  0}

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{(x, y) : x2 + y2 ≤ 2ax, y2 > ax, x,y,  0}

Considering the inequations as equations

It represents a circle whose Centre is (a, 0) and radius r = a

y2  = ax..........(iii)

Vertex (0,0) Axis along x-axis.

Point of intersection, from (i) and (iii)

Point of intersection are (0, 0) (a, a), (a, -a).

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