Q5 of 123 Page 21

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)


=




Required area:



Simplify further and you will get the answer.


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