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Mathematics
Problem
The curve
x
=
y
3
−
3
y
x=y^{3}-3y
x
=
y
3
−
3
y
intersects the y-axis at
y
=
−
3
y=-\sqrt{3}
y
=
−
3
,
y
=
0
y=0
y
=
0
, and
y
=
3
y=\sqrt{3}
y
=
3
. Compute the total area enclosed between the curve and the y-axis on this interval.
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