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Find the area of the region bounded by the curve ay2 = x3, they y-axis and the lines y = a and y = 2a.
Similarly as problem 1,
Area of the bounded region = Area under (y = 2a) and (ay2 = x3) – Area under (y = a) and (ay2 = x3)
Area under (y = 2) and (ay2 = x3 ) =
Area under (y = a) and (ay2 = x3)
Simplify further and you will get the answer.