Book: RD Sharma - Mathematics (Volume 2)
Chapter: 21. Areas of Bounded Regions
Subject: Maths - Class 12th
Q. No. 5 of Exercise 21.2
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5
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.
