Find the area of the region bounded by the curve ay 2 = x 3 , they y-axis and the lines y = a and y = 2a.

Question

Philoid · Accepted Answer

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.