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Mathematics
Problem
Let
S
S
S
be the region bounded by the curves
y
=
x
3
y = x^3
y
=
x
3
and
y
2
=
x
y^2 = x
y
2
=
x
. The curve
y
=
2
∣
x
∣
y = 2|x|
y
=
2∣
x
∣
divides
S
S
S
into two regions of areas
R
1
R_1
R
1
and
R
2
R_2
R
2
. If
max
{
R
1
,
R
2
}
=
R
2
\max\{R_1, R_2\} = R_2
max
{
R
1
,
R
2
}
=
R
2
, then
R
2
R
1
\frac{R_2}{R_1}
R
1
R
2
is equal to _____. [JEE MAINS - ONLINE - 2022]
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